1540201892.680 * [misc]progress: [Phase 1 of 3] Setting up. 1540201892.680 * * * [misc]progress: [1/2] Preparing points 1540201892.680 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1540201892.681 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1540201892.684 * * * * [misc]points: Setting MPFR precision to 64 1540201892.684 * * * * [misc]points: Setting MPFR precision to 320 1540201892.685 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1540201892.688 * * * * [misc]points: Setting MPFR precision to 64 1540201892.689 * * * * [misc]points: Setting MPFR precision to 320 1540201892.692 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1540201892.695 * * * * [misc]points: Setting MPFR precision to 64 1540201892.697 * * * * [misc]points: Setting MPFR precision to 320 1540201892.699 * * * * [misc]points: Setting MPFR precision to 576 1540201892.701 * * * * [misc]points: Setting MPFR precision to 832 1540201892.703 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.705 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.708 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1540201892.717 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.721 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.725 * * * * [misc]points: Computing exacts for 256 points 1540201892.733 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.744 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.766 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201892.766 * * * * [misc]points: Sampling 204 additional inputs, on iter 1 have 52 / 256 1540201892.767 * * * * [misc]points: Computing exacts on every 12 of 204 points to ramp up precision 1540201892.776 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.777 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.777 * * * * [misc]points: Computing exacts on every 6 of 204 points to ramp up precision 1540201892.789 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.792 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.794 * * * * [misc]points: Computing exacts on every 3 of 204 points to ramp up precision 1540201892.811 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.813 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.816 * * * * [misc]points: Computing exacts for 204 points 1540201892.824 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.839 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.856 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201892.856 * * * * [misc]points: Sampling 171 additional inputs, on iter 2 have 85 / 256 1540201892.858 * * * * [misc]points: Computing exacts on every 10 of 171 points to ramp up precision 1540201892.887 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.890 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.892 * * * * [misc]points: Computing exacts on every 5 of 171 points to ramp up precision 1540201892.909 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.911 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.913 * * * * [misc]points: Computing exacts on every 2 of 171 points to ramp up precision 1540201892.922 * * * * [misc]points: Setting MPFR precision to 1088 1540201892.925 * * * * [misc]points: Setting MPFR precision to 1344 1540201892.927 * * * * [misc]points: Computing exacts for 171 points 1540201893.226 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.234 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.242 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.242 * * * * [misc]points: Sampling 144 additional inputs, on iter 3 have 112 / 256 1540201893.243 * * * * [misc]points: Computing exacts on every 9 of 144 points to ramp up precision 1540201893.251 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.252 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.253 * * * * [misc]points: Computing exacts on every 4 of 144 points to ramp up precision 1540201893.262 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.264 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.266 * * * * [misc]points: Computing exacts on every 2 of 144 points to ramp up precision 1540201893.282 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.284 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.286 * * * * [misc]points: Computing exacts for 144 points 1540201893.294 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.300 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.306 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.306 * * * * [misc]points: Sampling 124 additional inputs, on iter 4 have 132 / 256 1540201893.307 * * * * [misc]points: Computing exacts on every 7 of 124 points to ramp up precision 1540201893.328 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.329 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.329 * * * * [misc]points: Computing exacts on every 3 of 124 points to ramp up precision 1540201893.345 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.347 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.348 * * * * [misc]points: Computing exacts for 124 points 1540201893.357 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.362 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.367 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.367 * * * * [misc]points: Sampling 96 additional inputs, on iter 5 have 160 / 256 1540201893.367 * * * * [misc]points: Computing exacts on every 6 of 96 points to ramp up precision 1540201893.383 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.384 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.384 * * * * [misc]points: Computing exacts on every 3 of 96 points to ramp up precision 1540201893.393 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.394 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.396 * * * * [misc]points: Computing exacts for 96 points 1540201893.414 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.427 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.432 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.432 * * * * [misc]points: Sampling 70 additional inputs, on iter 6 have 186 / 256 1540201893.433 * * * * [misc]points: Computing exacts on every 4 of 70 points to ramp up precision 1540201893.441 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.442 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.443 * * * * [misc]points: Computing exacts on every 2 of 70 points to ramp up precision 1540201893.452 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.453 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.455 * * * * [misc]points: Computing exacts for 70 points 1540201893.474 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.480 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.485 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.485 * * * * [misc]points: Sampling 54 additional inputs, on iter 7 have 202 / 256 1540201893.486 * * * * [misc]points: Computing exacts on every 3 of 54 points to ramp up precision 1540201893.495 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.496 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.497 * * * * [misc]points: Computing exacts for 54 points 1540201893.506 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.508 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.512 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.512 * * * * [misc]points: Sampling 46 additional inputs, on iter 8 have 210 / 256 1540201893.513 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision 1540201893.539 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.540 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.541 * * * * [misc]points: Computing exacts for 46 points 1540201893.551 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.553 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.555 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.556 * * * * [misc]points: Sampling 37 additional inputs, on iter 9 have 219 / 256 1540201893.556 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision 1540201893.565 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.566 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.567 * * * * [misc]points: Computing exacts for 37 points 1540201893.587 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.590 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.594 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.594 * * * * [misc]points: Sampling 26 additional inputs, on iter 10 have 230 / 256 1540201893.594 * * * * [misc]points: Computing exacts for 26 points 1540201893.604 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.605 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.607 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.607 * * * * [misc]points: Sampling 18 additional inputs, on iter 11 have 238 / 256 1540201893.607 * * * * [misc]points: Computing exacts for 18 points 1540201893.616 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.620 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.621 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.621 * * * * [misc]points: Sampling 14 additional inputs, on iter 12 have 242 / 256 1540201893.621 * * * * [misc]points: Computing exacts for 14 points 1540201893.638 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.639 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.640 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.640 * * * * [misc]points: Sampling 14 additional inputs, on iter 13 have 242 / 256 1540201893.640 * * * * [misc]points: Computing exacts for 14 points 1540201893.659 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.660 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.661 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.661 * * * * [misc]points: Sampling 11 additional inputs, on iter 14 have 245 / 256 1540201893.662 * * * * [misc]points: Computing exacts for 11 points 1540201893.685 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.686 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.687 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.687 * * * * [misc]points: Sampling 8 additional inputs, on iter 15 have 248 / 256 1540201893.687 * * * * [misc]points: Computing exacts for 8 points 1540201893.705 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.706 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.707 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.707 * * * * [misc]points: Sampling 7 additional inputs, on iter 16 have 249 / 256 1540201893.707 * * * * [misc]points: Computing exacts for 7 points 1540201893.720 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.720 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.721 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.721 * * * * [misc]points: Sampling 5 additional inputs, on iter 17 have 251 / 256 1540201893.721 * * * * [misc]points: Computing exacts for 5 points 1540201893.732 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.732 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.733 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.733 * * * * [misc]points: Sampling 5 additional inputs, on iter 18 have 251 / 256 1540201893.733 * * * * [misc]points: Computing exacts for 5 points 1540201893.742 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.742 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.742 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.742 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 252 / 256 1540201893.742 * * * * [misc]points: Computing exacts for 4 points 1540201893.759 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.760 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.760 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.760 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 253 / 256 1540201893.760 * * * * [misc]points: Computing exacts for 4 points 1540201893.782 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.783 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.783 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.783 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 254 / 256 1540201893.783 * * * * [misc]points: Computing exacts for 4 points 1540201893.802 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.802 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.803 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.803 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 255 / 256 1540201893.803 * * * * [misc]points: Computing exacts for 4 points 1540201893.821 * * * * [misc]points: Setting MPFR precision to 1088 1540201893.823 * * * * [misc]points: Setting MPFR precision to 1344 1540201893.823 * * * * [misc]points: Filtering points with unrepresentable outputs 1540201893.823 * * * * [exit]points: Sampled 256 points with exact outputs 1540201893.823 * * * [misc]progress: [2/2] Setting up program. 1540201893.829 * [misc]progress: [Phase 2 of 3] Improving. 1540201893.830 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1540201893.830 * * [misc]simplify: iters left: 6 (13 enodes) 1540201893.835 * * [misc]simplify: iters left: 5 (28 enodes) 1540201893.843 * * [misc]simplify: iters left: 4 (44 enodes) 1540201893.860 * * [misc]simplify: iters left: 3 (54 enodes) 1540201893.871 * * [misc]simplify: iters left: 2 (57 enodes) 1540201893.883 * * [misc]simplify: iters left: 1 (65 enodes) 1540201893.899 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540201893.911 * * [misc]progress: iteration 1 / 4 1540201893.911 * * * [misc]progress: picking best candidate 1540201893.922 * * * * [misc]pick: Picked # 1540201893.922 * * * [misc]progress: localizing error 1540201893.981 * * * [misc]progress: generating rewritten candidates 1540201893.981 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1540201893.989 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1540201893.994 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1540201894.009 * * * [misc]progress: generating series expansions 1540201894.010 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1540201894.010 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1540201894.010 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1540201894.010 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540201894.010 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540201894.010 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540201894.010 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201894.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.010 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201894.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.010 * [misc]taylor: Taking taylor expansion of k in k 1540201894.010 * [misc]backup-simplify: Simplify 0 into 0 1540201894.010 * [misc]backup-simplify: Simplify 1 into 1 1540201894.010 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540201894.010 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540201894.010 * [misc]taylor: Taking taylor expansion of 2 in k 1540201894.010 * [misc]backup-simplify: Simplify 2 into 2 1540201894.010 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540201894.010 * [misc]taylor: Taking taylor expansion of n in k 1540201894.010 * [misc]backup-simplify: Simplify n into n 1540201894.010 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.010 * [misc]backup-simplify: Simplify PI into PI 1540201894.010 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540201894.011 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540201894.011 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540201894.011 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201894.017 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.017 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201894.017 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540201894.017 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540201894.017 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540201894.017 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540201894.017 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540201894.017 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201894.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.017 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201894.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.017 * [misc]taylor: Taking taylor expansion of k in n 1540201894.017 * [misc]backup-simplify: Simplify k into k 1540201894.017 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540201894.017 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540201894.017 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.017 * [misc]backup-simplify: Simplify 2 into 2 1540201894.017 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201894.018 * [misc]taylor: Taking taylor expansion of n in n 1540201894.018 * [misc]backup-simplify: Simplify 0 into 0 1540201894.018 * [misc]backup-simplify: Simplify 1 into 1 1540201894.018 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.018 * [misc]backup-simplify: Simplify PI into PI 1540201894.018 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201894.018 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201894.018 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201894.019 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540201894.019 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.019 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201894.019 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201894.019 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201894.020 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.020 * [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)))) 1540201894.021 * [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))))) 1540201894.021 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540201894.021 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540201894.021 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540201894.021 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201894.021 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.021 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201894.021 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.021 * [misc]taylor: Taking taylor expansion of k in n 1540201894.021 * [misc]backup-simplify: Simplify k into k 1540201894.021 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540201894.021 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540201894.021 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.021 * [misc]backup-simplify: Simplify 2 into 2 1540201894.021 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201894.021 * [misc]taylor: Taking taylor expansion of n in n 1540201894.021 * [misc]backup-simplify: Simplify 0 into 0 1540201894.021 * [misc]backup-simplify: Simplify 1 into 1 1540201894.021 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.021 * [misc]backup-simplify: Simplify PI into PI 1540201894.021 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201894.021 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201894.022 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201894.022 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540201894.022 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.022 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201894.022 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201894.022 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201894.023 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.023 * [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)))) 1540201894.024 * [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))))) 1540201894.024 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540201894.024 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540201894.024 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201894.024 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.024 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201894.024 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.024 * [misc]taylor: Taking taylor expansion of k in k 1540201894.024 * [misc]backup-simplify: Simplify 0 into 0 1540201894.024 * [misc]backup-simplify: Simplify 1 into 1 1540201894.024 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540201894.024 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201894.024 * [misc]taylor: Taking taylor expansion of n in k 1540201894.024 * [misc]backup-simplify: Simplify n into n 1540201894.024 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201894.024 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540201894.024 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540201894.024 * [misc]taylor: Taking taylor expansion of 2 in k 1540201894.024 * [misc]backup-simplify: Simplify 2 into 2 1540201894.024 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.024 * [misc]backup-simplify: Simplify PI into PI 1540201894.024 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.025 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.025 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201894.025 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.025 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201894.025 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.026 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540201894.026 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540201894.026 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540201894.027 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540201894.028 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540201894.029 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540201894.029 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540201894.029 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.030 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.030 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540201894.031 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201894.032 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.032 * [misc]backup-simplify: Simplify 0 into 0 1540201894.032 * [misc]backup-simplify: Simplify 0 into 0 1540201894.032 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540201894.032 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540201894.034 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540201894.034 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.034 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201894.034 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201894.034 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201894.035 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540201894.036 * [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))))))) 1540201894.037 * [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))))))) 1540201894.038 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201894.038 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540201894.041 * [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 1540201894.041 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540201894.041 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.042 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.042 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.042 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540201894.044 * [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 1540201894.044 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.044 * [misc]backup-simplify: Simplify 0 into 0 1540201894.044 * [misc]backup-simplify: Simplify 0 into 0 1540201894.044 * [misc]backup-simplify: Simplify 0 into 0 1540201894.045 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540201894.046 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540201894.051 * [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 1540201894.051 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.051 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201894.052 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.052 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.053 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540201894.055 * [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))))) 1540201894.058 * [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))))) 1540201894.063 * [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))))) 1540201894.063 * [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)))) 1540201894.064 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540201894.064 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201894.064 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540201894.064 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540201894.064 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201894.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.064 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201894.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.064 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.064 * [misc]taylor: Taking taylor expansion of k in k 1540201894.064 * [misc]backup-simplify: Simplify 0 into 0 1540201894.064 * [misc]backup-simplify: Simplify 1 into 1 1540201894.064 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.064 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540201894.064 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540201894.064 * [misc]taylor: Taking taylor expansion of 2 in k 1540201894.064 * [misc]backup-simplify: Simplify 2 into 2 1540201894.064 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540201894.064 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.064 * [misc]backup-simplify: Simplify PI into PI 1540201894.064 * [misc]taylor: Taking taylor expansion of n in k 1540201894.064 * [misc]backup-simplify: Simplify n into n 1540201894.065 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540201894.065 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540201894.065 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540201894.065 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201894.065 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201894.065 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201894.065 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540201894.066 * [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)))) 1540201894.066 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201894.066 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540201894.066 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540201894.066 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201894.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.066 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201894.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.066 * [misc]taylor: Taking taylor expansion of k in n 1540201894.066 * [misc]backup-simplify: Simplify k into k 1540201894.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.066 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540201894.066 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540201894.066 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.066 * [misc]backup-simplify: Simplify 2 into 2 1540201894.066 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.066 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.066 * [misc]backup-simplify: Simplify PI into PI 1540201894.066 * [misc]taylor: Taking taylor expansion of n in n 1540201894.066 * [misc]backup-simplify: Simplify 0 into 0 1540201894.066 * [misc]backup-simplify: Simplify 1 into 1 1540201894.067 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.067 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.068 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.068 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201894.068 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201894.068 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201894.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.069 * [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))) 1540201894.070 * [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)))) 1540201894.070 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201894.070 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540201894.070 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540201894.070 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201894.070 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.070 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201894.070 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.070 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.070 * [misc]taylor: Taking taylor expansion of k in n 1540201894.070 * [misc]backup-simplify: Simplify k into k 1540201894.070 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.070 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540201894.070 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540201894.071 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.071 * [misc]backup-simplify: Simplify 2 into 2 1540201894.071 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.071 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.071 * [misc]backup-simplify: Simplify PI into PI 1540201894.071 * [misc]taylor: Taking taylor expansion of n in n 1540201894.071 * [misc]backup-simplify: Simplify 0 into 0 1540201894.071 * [misc]backup-simplify: Simplify 1 into 1 1540201894.071 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.071 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.072 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.072 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201894.072 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201894.072 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201894.073 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.073 * [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))) 1540201894.074 * [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)))) 1540201894.074 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540201894.074 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540201894.074 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201894.074 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.074 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201894.074 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.074 * [misc]taylor: Taking taylor expansion of k in k 1540201894.074 * [misc]backup-simplify: Simplify 0 into 0 1540201894.074 * [misc]backup-simplify: Simplify 1 into 1 1540201894.075 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.075 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540201894.075 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540201894.075 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540201894.075 * [misc]taylor: Taking taylor expansion of 2 in k 1540201894.075 * [misc]backup-simplify: Simplify 2 into 2 1540201894.075 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.075 * [misc]backup-simplify: Simplify PI into PI 1540201894.075 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.076 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.076 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201894.076 * [misc]taylor: Taking taylor expansion of n in k 1540201894.076 * [misc]backup-simplify: Simplify n into n 1540201894.076 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201894.076 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201894.076 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201894.076 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201894.076 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540201894.077 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540201894.077 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540201894.078 * [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)))) 1540201894.079 * [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)))) 1540201894.080 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540201894.081 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540201894.083 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540201894.083 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201894.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201894.084 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.085 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540201894.086 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201894.086 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.086 * [misc]backup-simplify: Simplify 0 into 0 1540201894.086 * [misc]backup-simplify: Simplify 0 into 0 1540201894.086 * [misc]backup-simplify: Simplify 0 into 0 1540201894.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.087 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540201894.090 * [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 1540201894.090 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.090 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201894.090 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.091 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.091 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540201894.093 * [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 1540201894.093 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.093 * [misc]backup-simplify: Simplify 0 into 0 1540201894.093 * [misc]backup-simplify: Simplify 0 into 0 1540201894.093 * [misc]backup-simplify: Simplify 0 into 0 1540201894.093 * [misc]backup-simplify: Simplify 0 into 0 1540201894.094 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.095 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201894.099 * [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 1540201894.100 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.100 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201894.100 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.100 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.100 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.101 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540201894.103 * [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 1540201894.103 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.103 * [misc]backup-simplify: Simplify 0 into 0 1540201894.103 * [misc]backup-simplify: Simplify 0 into 0 1540201894.104 * [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))))) 1540201894.104 * [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)) 1540201894.104 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540201894.104 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201894.104 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540201894.104 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540201894.104 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201894.104 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201894.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.104 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.104 * [misc]taylor: Taking taylor expansion of k in k 1540201894.104 * [misc]backup-simplify: Simplify 0 into 0 1540201894.104 * [misc]backup-simplify: Simplify 1 into 1 1540201894.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.104 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540201894.104 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540201894.104 * [misc]taylor: Taking taylor expansion of -2 in k 1540201894.104 * [misc]backup-simplify: Simplify -2 into -2 1540201894.104 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540201894.104 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.104 * [misc]backup-simplify: Simplify PI into PI 1540201894.104 * [misc]taylor: Taking taylor expansion of n in k 1540201894.104 * [misc]backup-simplify: Simplify n into n 1540201894.104 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540201894.105 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540201894.105 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540201894.105 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201894.105 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201894.105 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540201894.105 * [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))) 1540201894.105 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201894.105 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540201894.105 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540201894.105 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201894.105 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201894.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.105 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.105 * [misc]taylor: Taking taylor expansion of k in n 1540201894.105 * [misc]backup-simplify: Simplify k into k 1540201894.105 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.105 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540201894.105 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540201894.105 * [misc]taylor: Taking taylor expansion of -2 in n 1540201894.105 * [misc]backup-simplify: Simplify -2 into -2 1540201894.105 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.105 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.105 * [misc]backup-simplify: Simplify PI into PI 1540201894.105 * [misc]taylor: Taking taylor expansion of n in n 1540201894.105 * [misc]backup-simplify: Simplify 0 into 0 1540201894.105 * [misc]backup-simplify: Simplify 1 into 1 1540201894.106 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.106 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540201894.106 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540201894.106 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201894.106 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201894.107 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540201894.107 * [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))) 1540201894.107 * [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)))) 1540201894.107 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201894.107 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540201894.108 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540201894.108 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201894.108 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201894.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.108 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.108 * [misc]taylor: Taking taylor expansion of k in n 1540201894.108 * [misc]backup-simplify: Simplify k into k 1540201894.108 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.108 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540201894.108 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540201894.108 * [misc]taylor: Taking taylor expansion of -2 in n 1540201894.108 * [misc]backup-simplify: Simplify -2 into -2 1540201894.108 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.108 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.108 * [misc]backup-simplify: Simplify PI into PI 1540201894.108 * [misc]taylor: Taking taylor expansion of n in n 1540201894.108 * [misc]backup-simplify: Simplify 0 into 0 1540201894.108 * [misc]backup-simplify: Simplify 1 into 1 1540201894.108 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.108 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540201894.108 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540201894.109 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201894.109 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201894.109 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540201894.109 * [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))) 1540201894.110 * [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)))) 1540201894.110 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540201894.110 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540201894.110 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201894.110 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201894.110 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.110 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.110 * [misc]taylor: Taking taylor expansion of k in k 1540201894.110 * [misc]backup-simplify: Simplify 0 into 0 1540201894.110 * [misc]backup-simplify: Simplify 1 into 1 1540201894.110 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.110 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.110 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540201894.110 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540201894.110 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540201894.110 * [misc]taylor: Taking taylor expansion of -2 in k 1540201894.110 * [misc]backup-simplify: Simplify -2 into -2 1540201894.110 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.110 * [misc]backup-simplify: Simplify PI into PI 1540201894.110 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540201894.111 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540201894.111 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201894.111 * [misc]taylor: Taking taylor expansion of n in k 1540201894.111 * [misc]backup-simplify: Simplify n into n 1540201894.111 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201894.111 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201894.111 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201894.111 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540201894.112 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540201894.112 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540201894.112 * [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)))) 1540201894.113 * [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)))) 1540201894.114 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540201894.114 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540201894.116 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540201894.116 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201894.116 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201894.116 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.116 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540201894.117 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540201894.118 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201894.118 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.118 * [misc]backup-simplify: Simplify 0 into 0 1540201894.118 * [misc]backup-simplify: Simplify 0 into 0 1540201894.118 * [misc]backup-simplify: Simplify 0 into 0 1540201894.119 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.119 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540201894.122 * [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 1540201894.122 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.122 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201894.123 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.123 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540201894.123 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540201894.125 * [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 1540201894.125 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.125 * [misc]backup-simplify: Simplify 0 into 0 1540201894.125 * [misc]backup-simplify: Simplify 0 into 0 1540201894.125 * [misc]backup-simplify: Simplify 0 into 0 1540201894.125 * [misc]backup-simplify: Simplify 0 into 0 1540201894.126 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.127 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201894.131 * [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 1540201894.132 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.132 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201894.132 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.132 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540201894.134 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1540201894.136 * [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 1540201894.136 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.136 * [misc]backup-simplify: Simplify 0 into 0 1540201894.136 * [misc]backup-simplify: Simplify 0 into 0 1540201894.137 * [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))))) 1540201894.137 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1540201894.137 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540201894.137 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540201894.137 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540201894.137 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.137 * [misc]backup-simplify: Simplify 2 into 2 1540201894.137 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201894.137 * [misc]taylor: Taking taylor expansion of n in n 1540201894.137 * [misc]backup-simplify: Simplify 0 into 0 1540201894.137 * [misc]backup-simplify: Simplify 1 into 1 1540201894.137 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.137 * [misc]backup-simplify: Simplify PI into PI 1540201894.137 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540201894.137 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.137 * [misc]backup-simplify: Simplify 2 into 2 1540201894.137 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201894.137 * [misc]taylor: Taking taylor expansion of n in n 1540201894.137 * [misc]backup-simplify: Simplify 0 into 0 1540201894.137 * [misc]backup-simplify: Simplify 1 into 1 1540201894.137 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.137 * [misc]backup-simplify: Simplify PI into PI 1540201894.138 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201894.138 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201894.138 * [misc]backup-simplify: Simplify 0 into 0 1540201894.138 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201894.139 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540201894.139 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.139 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540201894.140 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540201894.140 * [misc]backup-simplify: Simplify 0 into 0 1540201894.141 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201894.142 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540201894.142 * [misc]backup-simplify: Simplify 0 into 0 1540201894.143 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540201894.144 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540201894.144 * [misc]backup-simplify: Simplify 0 into 0 1540201894.146 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540201894.147 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540201894.147 * [misc]backup-simplify: Simplify 0 into 0 1540201894.149 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540201894.151 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540201894.151 * [misc]backup-simplify: Simplify 0 into 0 1540201894.153 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540201894.156 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540201894.156 * [misc]backup-simplify: Simplify 0 into 0 1540201894.156 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540201894.156 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540201894.156 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540201894.156 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540201894.156 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.156 * [misc]backup-simplify: Simplify 2 into 2 1540201894.156 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.156 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.156 * [misc]backup-simplify: Simplify PI into PI 1540201894.157 * [misc]taylor: Taking taylor expansion of n in n 1540201894.157 * [misc]backup-simplify: Simplify 0 into 0 1540201894.157 * [misc]backup-simplify: Simplify 1 into 1 1540201894.157 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.157 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540201894.157 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.157 * [misc]backup-simplify: Simplify 2 into 2 1540201894.157 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.157 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.157 * [misc]backup-simplify: Simplify PI into PI 1540201894.157 * [misc]taylor: Taking taylor expansion of n in n 1540201894.157 * [misc]backup-simplify: Simplify 0 into 0 1540201894.157 * [misc]backup-simplify: Simplify 1 into 1 1540201894.157 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.158 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.158 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.159 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540201894.160 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540201894.160 * [misc]backup-simplify: Simplify 0 into 0 1540201894.161 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.162 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540201894.162 * [misc]backup-simplify: Simplify 0 into 0 1540201894.164 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.165 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201894.165 * [misc]backup-simplify: Simplify 0 into 0 1540201894.167 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.169 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540201894.169 * [misc]backup-simplify: Simplify 0 into 0 1540201894.171 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.174 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540201894.174 * [misc]backup-simplify: Simplify 0 into 0 1540201894.176 * [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 1540201894.179 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540201894.179 * [misc]backup-simplify: Simplify 0 into 0 1540201894.180 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540201894.180 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540201894.180 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540201894.180 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540201894.180 * [misc]taylor: Taking taylor expansion of -2 in n 1540201894.180 * [misc]backup-simplify: Simplify -2 into -2 1540201894.180 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.180 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.180 * [misc]backup-simplify: Simplify PI into PI 1540201894.180 * [misc]taylor: Taking taylor expansion of n in n 1540201894.180 * [misc]backup-simplify: Simplify 0 into 0 1540201894.180 * [misc]backup-simplify: Simplify 1 into 1 1540201894.180 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.181 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540201894.181 * [misc]taylor: Taking taylor expansion of -2 in n 1540201894.181 * [misc]backup-simplify: Simplify -2 into -2 1540201894.181 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.181 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.181 * [misc]backup-simplify: Simplify PI into PI 1540201894.181 * [misc]taylor: Taking taylor expansion of n in n 1540201894.181 * [misc]backup-simplify: Simplify 0 into 0 1540201894.181 * [misc]backup-simplify: Simplify 1 into 1 1540201894.181 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.181 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540201894.182 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540201894.183 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540201894.183 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540201894.183 * [misc]backup-simplify: Simplify 0 into 0 1540201894.184 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.185 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540201894.185 * [misc]backup-simplify: Simplify 0 into 0 1540201894.187 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.188 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201894.188 * [misc]backup-simplify: Simplify 0 into 0 1540201894.190 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.192 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540201894.192 * [misc]backup-simplify: Simplify 0 into 0 1540201894.194 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.197 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540201894.197 * [misc]backup-simplify: Simplify 0 into 0 1540201894.199 * [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 1540201894.203 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540201894.203 * [misc]backup-simplify: Simplify 0 into 0 1540201894.203 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540201894.203 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1540201894.203 * [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)))) 1540201894.203 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1540201894.203 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540201894.204 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201894.204 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.204 * [misc]taylor: Taking taylor expansion of k in k 1540201894.204 * [misc]backup-simplify: Simplify 0 into 0 1540201894.204 * [misc]backup-simplify: Simplify 1 into 1 1540201894.204 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.204 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201894.205 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201894.205 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540201894.205 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540201894.205 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540201894.205 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201894.205 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.205 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201894.205 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.205 * [misc]taylor: Taking taylor expansion of k in k 1540201894.205 * [misc]backup-simplify: Simplify 0 into 0 1540201894.205 * [misc]backup-simplify: Simplify 1 into 1 1540201894.205 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540201894.205 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540201894.205 * [misc]taylor: Taking taylor expansion of 2 in k 1540201894.205 * [misc]backup-simplify: Simplify 2 into 2 1540201894.205 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540201894.205 * [misc]taylor: Taking taylor expansion of n in k 1540201894.205 * [misc]backup-simplify: Simplify n into n 1540201894.205 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.205 * [misc]backup-simplify: Simplify PI into PI 1540201894.205 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540201894.205 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540201894.205 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540201894.206 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201894.206 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.206 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201894.206 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540201894.206 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540201894.206 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540201894.206 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540201894.206 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.206 * [misc]taylor: Taking taylor expansion of k in n 1540201894.206 * [misc]backup-simplify: Simplify k into k 1540201894.206 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.206 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540201894.207 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201894.207 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540201894.207 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540201894.207 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540201894.207 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540201894.207 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201894.207 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.207 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201894.207 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.207 * [misc]taylor: Taking taylor expansion of k in n 1540201894.207 * [misc]backup-simplify: Simplify k into k 1540201894.207 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540201894.207 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540201894.207 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.207 * [misc]backup-simplify: Simplify 2 into 2 1540201894.207 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201894.207 * [misc]taylor: Taking taylor expansion of n in n 1540201894.207 * [misc]backup-simplify: Simplify 0 into 0 1540201894.207 * [misc]backup-simplify: Simplify 1 into 1 1540201894.207 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.207 * [misc]backup-simplify: Simplify PI into PI 1540201894.208 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201894.208 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201894.208 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201894.209 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540201894.209 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.209 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201894.209 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201894.210 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201894.210 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.211 * [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)))) 1540201894.211 * [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))))) 1540201894.211 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540201894.211 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of k in n 1540201894.212 * [misc]backup-simplify: Simplify k into k 1540201894.212 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.212 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540201894.212 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201894.212 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540201894.212 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.212 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.212 * [misc]taylor: Taking taylor expansion of k in n 1540201894.212 * [misc]backup-simplify: Simplify k into k 1540201894.212 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.212 * [misc]backup-simplify: Simplify 2 into 2 1540201894.212 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201894.212 * [misc]taylor: Taking taylor expansion of n in n 1540201894.212 * [misc]backup-simplify: Simplify 0 into 0 1540201894.212 * [misc]backup-simplify: Simplify 1 into 1 1540201894.212 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.212 * [misc]backup-simplify: Simplify PI into PI 1540201894.213 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201894.213 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201894.213 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201894.214 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540201894.215 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.215 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201894.215 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201894.215 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201894.215 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.216 * [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)))) 1540201894.217 * [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))))) 1540201894.217 * [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))) 1540201894.217 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1540201894.217 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540201894.217 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540201894.218 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201894.218 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.218 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201894.218 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.218 * [misc]taylor: Taking taylor expansion of k in k 1540201894.218 * [misc]backup-simplify: Simplify 0 into 0 1540201894.218 * [misc]backup-simplify: Simplify 1 into 1 1540201894.218 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540201894.218 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201894.218 * [misc]taylor: Taking taylor expansion of n in k 1540201894.218 * [misc]backup-simplify: Simplify n into n 1540201894.218 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201894.218 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540201894.218 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540201894.218 * [misc]taylor: Taking taylor expansion of 2 in k 1540201894.218 * [misc]backup-simplify: Simplify 2 into 2 1540201894.218 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.218 * [misc]backup-simplify: Simplify PI into PI 1540201894.218 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.219 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.219 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201894.219 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.219 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201894.220 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.221 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540201894.221 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540201894.221 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201894.221 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.221 * [misc]taylor: Taking taylor expansion of k in k 1540201894.221 * [misc]backup-simplify: Simplify 0 into 0 1540201894.221 * [misc]backup-simplify: Simplify 1 into 1 1540201894.221 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.222 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201894.222 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201894.223 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1540201894.223 * [misc]backup-simplify: Simplify 0 into 0 1540201894.224 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540201894.225 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540201894.227 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540201894.228 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540201894.228 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.228 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.228 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.229 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540201894.231 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201894.232 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1540201894.232 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.232 * [misc]backup-simplify: Simplify 0 into 0 1540201894.233 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540201894.233 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540201894.236 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540201894.236 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.237 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201894.237 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201894.237 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201894.238 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540201894.239 * [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))))))) 1540201894.241 * [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))))))) 1540201894.242 * [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))))))) 1540201894.243 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201894.244 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540201894.249 * [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 1540201894.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540201894.250 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.250 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.250 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.251 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540201894.253 * [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 1540201894.253 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.254 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1540201894.255 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1540201894.255 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.255 * [misc]backup-simplify: Simplify 0 into 0 1540201894.255 * [misc]backup-simplify: Simplify 0 into 0 1540201894.255 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201894.256 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201894.258 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540201894.259 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540201894.262 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1540201894.262 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.262 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201894.262 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.262 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540201894.264 * [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))))) 1540201894.268 * [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)))))))) 1540201894.270 * [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)))))))) 1540201894.271 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540201894.273 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540201894.277 * [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 1540201894.277 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540201894.278 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.278 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.278 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540201894.279 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540201894.281 * [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 1540201894.281 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.281 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1540201894.282 * [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 1540201894.282 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.282 * [misc]backup-simplify: Simplify 0 into 0 1540201894.282 * [misc]backup-simplify: Simplify 0 into 0 1540201894.282 * [misc]backup-simplify: Simplify 0 into 0 1540201894.282 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.283 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201894.284 * [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 1540201894.285 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201894.290 * [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 1540201894.290 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.290 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201894.290 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.290 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.291 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540201894.294 * [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))))))) 1540201894.302 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +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)))))))))))))) 1540201894.308 * [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)))))))))))))) 1540201894.318 * [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)))))))))))))))))))))) 1540201894.319 * [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))))) 1540201894.319 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1540201894.319 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540201894.319 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201894.319 * [misc]taylor: Taking taylor expansion of k in k 1540201894.319 * [misc]backup-simplify: Simplify 0 into 0 1540201894.319 * [misc]backup-simplify: Simplify 1 into 1 1540201894.319 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201894.320 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201894.320 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201894.320 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540201894.320 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540201894.320 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201894.320 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.320 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201894.320 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.320 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.320 * [misc]taylor: Taking taylor expansion of k in k 1540201894.320 * [misc]backup-simplify: Simplify 0 into 0 1540201894.320 * [misc]backup-simplify: Simplify 1 into 1 1540201894.321 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.321 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540201894.321 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540201894.321 * [misc]taylor: Taking taylor expansion of 2 in k 1540201894.321 * [misc]backup-simplify: Simplify 2 into 2 1540201894.321 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540201894.321 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.321 * [misc]backup-simplify: Simplify PI into PI 1540201894.321 * [misc]taylor: Taking taylor expansion of n in k 1540201894.321 * [misc]backup-simplify: Simplify n into n 1540201894.321 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540201894.321 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540201894.321 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540201894.321 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201894.321 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201894.322 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201894.322 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540201894.322 * [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)))) 1540201894.322 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201894.322 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540201894.322 * [misc]taylor: Taking taylor expansion of k in n 1540201894.322 * [misc]backup-simplify: Simplify k into k 1540201894.322 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540201894.322 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540201894.322 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201894.322 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540201894.322 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540201894.322 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201894.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.322 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201894.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.322 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.322 * [misc]taylor: Taking taylor expansion of k in n 1540201894.322 * [misc]backup-simplify: Simplify k into k 1540201894.323 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.323 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540201894.323 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540201894.323 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.323 * [misc]backup-simplify: Simplify 2 into 2 1540201894.323 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.323 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.323 * [misc]backup-simplify: Simplify PI into PI 1540201894.323 * [misc]taylor: Taking taylor expansion of n in n 1540201894.323 * [misc]backup-simplify: Simplify 0 into 0 1540201894.323 * [misc]backup-simplify: Simplify 1 into 1 1540201894.323 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.323 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.324 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.324 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201894.324 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201894.324 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201894.325 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.325 * [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))) 1540201894.326 * [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)))) 1540201894.326 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201894.326 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540201894.326 * [misc]taylor: Taking taylor expansion of k in n 1540201894.326 * [misc]backup-simplify: Simplify k into k 1540201894.326 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540201894.326 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540201894.326 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201894.326 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540201894.326 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540201894.326 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201894.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.327 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201894.327 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.327 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.327 * [misc]taylor: Taking taylor expansion of k in n 1540201894.327 * [misc]backup-simplify: Simplify k into k 1540201894.327 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.327 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540201894.327 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540201894.327 * [misc]taylor: Taking taylor expansion of 2 in n 1540201894.327 * [misc]backup-simplify: Simplify 2 into 2 1540201894.327 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.327 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.327 * [misc]backup-simplify: Simplify PI into PI 1540201894.327 * [misc]taylor: Taking taylor expansion of n in n 1540201894.327 * [misc]backup-simplify: Simplify 0 into 0 1540201894.327 * [misc]backup-simplify: Simplify 1 into 1 1540201894.327 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.327 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.328 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.328 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201894.328 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201894.328 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201894.329 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.329 * [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))) 1540201894.330 * [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)))) 1540201894.331 * [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)) 1540201894.331 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1540201894.331 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540201894.331 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540201894.331 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201894.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.331 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201894.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.331 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.331 * [misc]taylor: Taking taylor expansion of k in k 1540201894.331 * [misc]backup-simplify: Simplify 0 into 0 1540201894.331 * [misc]backup-simplify: Simplify 1 into 1 1540201894.331 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.331 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540201894.331 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540201894.331 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540201894.331 * [misc]taylor: Taking taylor expansion of 2 in k 1540201894.331 * [misc]backup-simplify: Simplify 2 into 2 1540201894.331 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.331 * [misc]backup-simplify: Simplify PI into PI 1540201894.332 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540201894.332 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540201894.332 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201894.332 * [misc]taylor: Taking taylor expansion of n in k 1540201894.332 * [misc]backup-simplify: Simplify n into n 1540201894.332 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201894.332 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201894.333 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201894.333 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201894.333 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540201894.333 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540201894.334 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540201894.334 * [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)))) 1540201894.334 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201894.334 * [misc]taylor: Taking taylor expansion of k in k 1540201894.335 * [misc]backup-simplify: Simplify 0 into 0 1540201894.335 * [misc]backup-simplify: Simplify 1 into 1 1540201894.335 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201894.335 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201894.336 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1540201894.336 * [misc]backup-simplify: Simplify 0 into 0 1540201894.337 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540201894.337 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540201894.340 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540201894.340 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201894.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201894.340 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.341 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.341 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.342 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540201894.343 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201894.344 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1540201894.344 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.344 * [misc]backup-simplify: Simplify 0 into 0 1540201894.344 * [misc]backup-simplify: Simplify 0 into 0 1540201894.345 * [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)))))) 1540201894.346 * [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)))))) 1540201894.347 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.348 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540201894.352 * [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 1540201894.353 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.353 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201894.353 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.353 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.354 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.355 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540201894.357 * [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 1540201894.358 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1540201894.358 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1540201894.358 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.358 * [misc]backup-simplify: Simplify 0 into 0 1540201894.359 * [misc]backup-simplify: Simplify 0 into 0 1540201894.359 * [misc]backup-simplify: Simplify 0 into 0 1540201894.360 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201894.360 * [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)))))) 1540201894.361 * [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)))))) 1540201894.363 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.364 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201894.371 * [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 1540201894.372 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.372 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201894.373 * [misc]backup-simplify: Simplify (- 0) into 0 1540201894.373 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.373 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540201894.374 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540201894.378 * [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 1540201894.378 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1540201894.379 * [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 1540201894.379 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.379 * [misc]backup-simplify: Simplify 0 into 0 1540201894.379 * [misc]backup-simplify: Simplify 0 into 0 1540201894.379 * [misc]backup-simplify: Simplify 0 into 0 1540201894.379 * [misc]backup-simplify: Simplify 0 into 0 1540201894.380 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201894.381 * [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)))))) 1540201894.382 * [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)))))) 1540201894.384 * [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)))))))) 1540201894.385 * [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))) 1540201894.385 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1540201894.385 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540201894.385 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201894.385 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540201894.385 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540201894.385 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201894.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201894.385 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.385 * [misc]taylor: Taking taylor expansion of k in k 1540201894.385 * [misc]backup-simplify: Simplify 0 into 0 1540201894.385 * [misc]backup-simplify: Simplify 1 into 1 1540201894.385 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.385 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.386 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540201894.386 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540201894.386 * [misc]taylor: Taking taylor expansion of -2 in k 1540201894.386 * [misc]backup-simplify: Simplify -2 into -2 1540201894.386 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540201894.386 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.386 * [misc]backup-simplify: Simplify PI into PI 1540201894.386 * [misc]taylor: Taking taylor expansion of n in k 1540201894.386 * [misc]backup-simplify: Simplify n into n 1540201894.386 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540201894.386 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540201894.386 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540201894.386 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201894.386 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201894.386 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540201894.387 * [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))) 1540201894.387 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201894.387 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201894.387 * [misc]taylor: Taking taylor expansion of -1 in k 1540201894.387 * [misc]backup-simplify: Simplify -1 into -1 1540201894.387 * [misc]taylor: Taking taylor expansion of k in k 1540201894.387 * [misc]backup-simplify: Simplify 0 into 0 1540201894.387 * [misc]backup-simplify: Simplify 1 into 1 1540201894.387 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201894.387 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201894.388 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201894.388 * [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)))) 1540201894.388 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540201894.388 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201894.388 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540201894.388 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540201894.388 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201894.388 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201894.388 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.388 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.388 * [misc]taylor: Taking taylor expansion of k in n 1540201894.388 * [misc]backup-simplify: Simplify k into k 1540201894.388 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.388 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.388 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540201894.388 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540201894.388 * [misc]taylor: Taking taylor expansion of -2 in n 1540201894.388 * [misc]backup-simplify: Simplify -2 into -2 1540201894.388 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.389 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.389 * [misc]backup-simplify: Simplify PI into PI 1540201894.389 * [misc]taylor: Taking taylor expansion of n in n 1540201894.389 * [misc]backup-simplify: Simplify 0 into 0 1540201894.389 * [misc]backup-simplify: Simplify 1 into 1 1540201894.389 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.389 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540201894.390 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540201894.390 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201894.390 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201894.390 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540201894.391 * [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))) 1540201894.391 * [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)))) 1540201894.392 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540201894.392 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540201894.392 * [misc]taylor: Taking taylor expansion of -1 in n 1540201894.392 * [misc]backup-simplify: Simplify -1 into -1 1540201894.392 * [misc]taylor: Taking taylor expansion of k in n 1540201894.392 * [misc]backup-simplify: Simplify k into k 1540201894.392 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540201894.392 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540201894.392 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540201894.392 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540201894.393 * [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))) 1540201894.393 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.393 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of k in n 1540201894.393 * [misc]backup-simplify: Simplify k into k 1540201894.393 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201894.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201894.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.393 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of -2 in n 1540201894.393 * [misc]backup-simplify: Simplify -2 into -2 1540201894.393 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540201894.393 * [misc]taylor: Taking taylor expansion of PI in n 1540201894.393 * [misc]backup-simplify: Simplify PI into PI 1540201894.393 * [misc]taylor: Taking taylor expansion of n in n 1540201894.393 * [misc]backup-simplify: Simplify 0 into 0 1540201894.393 * [misc]backup-simplify: Simplify 1 into 1 1540201894.394 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201894.394 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540201894.394 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540201894.394 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201894.395 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201894.395 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540201894.396 * [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))) 1540201894.396 * [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)))) 1540201894.397 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540201894.397 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540201894.397 * [misc]taylor: Taking taylor expansion of -1 in n 1540201894.397 * [misc]backup-simplify: Simplify -1 into -1 1540201894.397 * [misc]taylor: Taking taylor expansion of k in n 1540201894.397 * [misc]backup-simplify: Simplify k into k 1540201894.397 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540201894.397 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540201894.397 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540201894.397 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540201894.398 * [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))) 1540201894.398 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1540201894.398 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540201894.398 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540201894.398 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201894.398 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201894.398 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.398 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201894.398 * [misc]taylor: Taking taylor expansion of k in k 1540201894.398 * [misc]backup-simplify: Simplify 0 into 0 1540201894.398 * [misc]backup-simplify: Simplify 1 into 1 1540201894.398 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201894.398 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201894.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201894.398 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540201894.398 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540201894.398 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540201894.398 * [misc]taylor: Taking taylor expansion of -2 in k 1540201894.398 * [misc]backup-simplify: Simplify -2 into -2 1540201894.399 * [misc]taylor: Taking taylor expansion of PI in k 1540201894.399 * [misc]backup-simplify: Simplify PI into PI 1540201894.399 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540201894.399 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540201894.399 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201894.399 * [misc]taylor: Taking taylor expansion of n in k 1540201894.399 * [misc]backup-simplify: Simplify n into n 1540201894.399 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201894.400 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201894.400 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201894.400 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540201894.400 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540201894.401 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540201894.401 * [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)))) 1540201894.401 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201894.401 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201894.401 * [misc]taylor: Taking taylor expansion of -1 in k 1540201894.401 * [misc]backup-simplify: Simplify -1 into -1 1540201894.402 * [misc]taylor: Taking taylor expansion of k in k 1540201894.402 * [misc]backup-simplify: Simplify 0 into 0 1540201894.402 * [misc]backup-simplify: Simplify 1 into 1 1540201894.402 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201894.402 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201894.402 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201894.403 * [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))))) 1540201894.404 * [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))))) 1540201894.405 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540201894.406 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540201894.409 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540201894.409 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201894.409 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201894.409 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.410 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540201894.411 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540201894.412 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201894.413 * [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 1540201894.413 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.413 * [misc]backup-simplify: Simplify 0 into 0 1540201894.413 * [misc]backup-simplify: Simplify 0 into 0 1540201894.413 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201894.415 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201894.416 * [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)))))) 1540201894.416 * [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)))))) 1540201894.418 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.419 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540201894.423 * [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 1540201894.423 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.424 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201894.424 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201894.425 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540201894.425 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540201894.428 * [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 1540201894.428 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201894.429 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1540201894.430 * [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 1540201894.430 * [misc]taylor: Taking taylor expansion of 0 in k 1540201894.430 * [misc]backup-simplify: Simplify 0 into 0 1540201894.430 * [misc]backup-simplify: Simplify 0 into 0 1540201894.430 * [misc]backup-simplify: Simplify 0 into 0 1540201894.431 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201894.432 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201894.433 * [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)))))) 1540201894.434 * [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)))))) 1540201894.437 * [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))))))))))) 1540201894.437 * * * [misc]progress: simplifying candidates 1540201894.437 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1540201894.437 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1540201894.437 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1540201894.437 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1540201894.437 * * [misc]simplify: iters left: 6 (11 enodes) 1540201894.441 * * [misc]simplify: iters left: 5 (21 enodes) 1540201894.446 * * [misc]simplify: iters left: 4 (47 enodes) 1540201894.454 * * [misc]simplify: iters left: 3 (113 enodes) 1540201894.496 * * [misc]simplify: iters left: 2 (328 enodes) 1540201894.788 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1540201894.788 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1540201894.789 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1540201894.789 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1540201894.789 * [enter]simplify: Simplifying (* PI (* n 2)) 1540201894.789 * * [misc]simplify: iters left: 4 (5 enodes) 1540201894.791 * * [misc]simplify: iters left: 3 (9 enodes) 1540201894.793 * * [misc]simplify: iters left: 2 (15 enodes) 1540201894.798 * * [misc]simplify: iters left: 1 (17 enodes) 1540201894.802 * [exit]simplify: Simplified to (* (* 2 n) PI) 1540201894.802 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1540201894.802 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1540201894.802 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540201894.802 * * [misc]simplify: iters left: 5 (8 enodes) 1540201894.808 * * [misc]simplify: iters left: 4 (12 enodes) 1540201894.812 * * [misc]simplify: iters left: 3 (18 enodes) 1540201894.817 * * [misc]simplify: iters left: 2 (20 enodes) 1540201894.820 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540201894.820 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1540201894.820 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1540201894.821 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540201894.821 * * [misc]simplify: iters left: 5 (6 enodes) 1540201894.821 * * [misc]simplify: iters left: 4 (8 enodes) 1540201894.823 * * [misc]simplify: iters left: 3 (11 enodes) 1540201894.824 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540201894.824 * [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))) 1540201894.824 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1540201894.824 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540201894.824 * * [misc]simplify: iters left: 5 (6 enodes) 1540201894.825 * * [misc]simplify: iters left: 4 (8 enodes) 1540201894.826 * * [misc]simplify: iters left: 3 (11 enodes) 1540201894.828 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540201894.828 * [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))) 1540201894.828 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1540201894.828 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540201894.828 * * [misc]simplify: iters left: 4 (5 enodes) 1540201894.829 * * [misc]simplify: iters left: 3 (7 enodes) 1540201894.830 * * [misc]simplify: iters left: 2 (10 enodes) 1540201894.831 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540201894.831 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1540201894.831 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1540201894.831 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540201894.831 * * [misc]simplify: iters left: 5 (9 enodes) 1540201894.833 * * [misc]simplify: iters left: 4 (15 enodes) 1540201894.835 * * [misc]simplify: iters left: 3 (21 enodes) 1540201894.837 * * [misc]simplify: iters left: 2 (22 enodes) 1540201894.840 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540201894.840 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540201894.840 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1540201894.840 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540201894.840 * * [misc]simplify: iters left: 5 (9 enodes) 1540201894.841 * * [misc]simplify: iters left: 4 (15 enodes) 1540201894.843 * * [misc]simplify: iters left: 3 (21 enodes) 1540201894.846 * * [misc]simplify: iters left: 2 (22 enodes) 1540201894.849 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540201894.849 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540201894.849 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1540201894.849 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540201894.849 * * [misc]simplify: iters left: 5 (7 enodes) 1540201894.850 * * [misc]simplify: iters left: 4 (9 enodes) 1540201894.851 * * [misc]simplify: iters left: 3 (12 enodes) 1540201894.853 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540201894.853 * [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))) 1540201894.853 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1540201894.853 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1540201894.854 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1540201894.854 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1540201894.854 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1540201894.854 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1540201894.854 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1540201894.854 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540201894.854 * * [misc]simplify: iters left: 6 (14 enodes) 1540201894.856 * * [misc]simplify: iters left: 5 (27 enodes) 1540201894.860 * * [misc]simplify: iters left: 4 (55 enodes) 1540201894.879 * * [misc]simplify: iters left: 3 (144 enodes) 1540201894.970 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1540201894.970 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1540201894.970 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1540201894.970 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540201894.970 * * [misc]simplify: iters left: 6 (14 enodes) 1540201894.973 * * [misc]simplify: iters left: 5 (27 enodes) 1540201894.977 * * [misc]simplify: iters left: 4 (55 enodes) 1540201894.992 * * [misc]simplify: iters left: 3 (144 enodes) 1540201895.056 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1540201895.056 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1540201895.056 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1540201895.056 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1540201895.056 * * [misc]simplify: iters left: 6 (14 enodes) 1540201895.058 * * [misc]simplify: iters left: 5 (24 enodes) 1540201895.063 * * [misc]simplify: iters left: 4 (43 enodes) 1540201895.069 * * [misc]simplify: iters left: 3 (73 enodes) 1540201895.088 * * [misc]simplify: iters left: 2 (220 enodes) 1540201895.222 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1540201895.222 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1540201895.222 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1540201895.222 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1540201895.222 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1540201895.222 * [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))) 1540201895.222 * * [misc]simplify: iters left: 6 (16 enodes) 1540201895.225 * * [misc]simplify: iters left: 5 (31 enodes) 1540201895.230 * * [misc]simplify: iters left: 4 (67 enodes) 1540201895.248 * * [misc]simplify: iters left: 3 (124 enodes) 1540201895.272 * * [misc]simplify: iters left: 2 (195 enodes) 1540201895.333 * * [misc]simplify: iters left: 1 (309 enodes) 1540201895.509 * [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)))) 1540201895.509 * [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)))))) 1540201895.509 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1540201895.509 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1540201895.509 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1540201895.510 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1540201895.510 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1540201895.510 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201895.510 * * [misc]simplify: iters left: 6 (12 enodes) 1540201895.512 * * [misc]simplify: iters left: 5 (19 enodes) 1540201895.514 * * [misc]simplify: iters left: 4 (25 enodes) 1540201895.518 * * [misc]simplify: iters left: 3 (26 enodes) 1540201895.521 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201895.521 * [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))))) 1540201895.521 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540201895.521 * * [misc]simplify: iters left: 6 (12 enodes) 1540201895.523 * * [misc]simplify: iters left: 5 (18 enodes) 1540201895.526 * * [misc]simplify: iters left: 4 (24 enodes) 1540201895.529 * * [misc]simplify: iters left: 3 (25 enodes) 1540201895.532 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540201895.532 * [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))))) 1540201895.533 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1540201895.533 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540201895.533 * * [misc]simplify: iters left: 6 (11 enodes) 1540201895.534 * * [misc]simplify: iters left: 5 (16 enodes) 1540201895.537 * * [misc]simplify: iters left: 4 (22 enodes) 1540201895.539 * * [misc]simplify: iters left: 3 (24 enodes) 1540201895.542 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540201895.542 * [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))))) 1540201895.542 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540201895.542 * * [misc]simplify: iters left: 6 (12 enodes) 1540201895.544 * * [misc]simplify: iters left: 5 (18 enodes) 1540201895.547 * * [misc]simplify: iters left: 4 (24 enodes) 1540201895.550 * * [misc]simplify: iters left: 3 (25 enodes) 1540201895.553 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540201895.553 * [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))))) 1540201895.553 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1540201895.553 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540201895.553 * * [misc]simplify: iters left: 6 (9 enodes) 1540201895.554 * * [misc]simplify: iters left: 5 (16 enodes) 1540201895.557 * * [misc]simplify: iters left: 4 (24 enodes) 1540201895.560 * * [misc]simplify: iters left: 3 (26 enodes) 1540201895.563 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540201895.563 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540201895.563 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540201895.563 * * [misc]simplify: iters left: 6 (11 enodes) 1540201895.565 * * [misc]simplify: iters left: 5 (17 enodes) 1540201895.567 * * [misc]simplify: iters left: 4 (23 enodes) 1540201895.570 * * [misc]simplify: iters left: 3 (24 enodes) 1540201895.573 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540201895.573 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540201895.573 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1540201895.573 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201895.573 * * [misc]simplify: iters left: 6 (12 enodes) 1540201895.575 * * [misc]simplify: iters left: 5 (19 enodes) 1540201895.578 * * [misc]simplify: iters left: 4 (25 enodes) 1540201895.583 * * [misc]simplify: iters left: 3 (26 enodes) 1540201895.589 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201895.589 * [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))))) 1540201895.589 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540201895.590 * * [misc]simplify: iters left: 6 (12 enodes) 1540201895.593 * * [misc]simplify: iters left: 5 (18 enodes) 1540201895.598 * * [misc]simplify: iters left: 4 (24 enodes) 1540201895.605 * * [misc]simplify: iters left: 3 (25 enodes) 1540201895.612 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540201895.612 * [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))))) 1540201895.612 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1540201895.612 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540201895.612 * * [misc]simplify: iters left: 6 (11 enodes) 1540201895.615 * * [misc]simplify: iters left: 5 (16 enodes) 1540201895.618 * * [misc]simplify: iters left: 4 (22 enodes) 1540201895.620 * * [misc]simplify: iters left: 3 (24 enodes) 1540201895.623 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540201895.623 * [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))))) 1540201895.623 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540201895.623 * * [misc]simplify: iters left: 6 (12 enodes) 1540201895.625 * * [misc]simplify: iters left: 5 (18 enodes) 1540201895.628 * * [misc]simplify: iters left: 4 (24 enodes) 1540201895.631 * * [misc]simplify: iters left: 3 (25 enodes) 1540201895.633 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540201895.634 * [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))))) 1540201895.634 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1540201895.634 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540201895.634 * * [misc]simplify: iters left: 6 (9 enodes) 1540201895.635 * * [misc]simplify: iters left: 5 (16 enodes) 1540201895.638 * * [misc]simplify: iters left: 4 (24 enodes) 1540201895.640 * * [misc]simplify: iters left: 3 (26 enodes) 1540201895.643 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540201895.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540201895.643 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540201895.643 * * [misc]simplify: iters left: 6 (11 enodes) 1540201895.645 * * [misc]simplify: iters left: 5 (17 enodes) 1540201895.647 * * [misc]simplify: iters left: 4 (23 enodes) 1540201895.651 * * [misc]simplify: iters left: 3 (24 enodes) 1540201895.653 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540201895.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540201895.653 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1540201895.654 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201895.654 * * [misc]simplify: iters left: 6 (11 enodes) 1540201895.655 * * [misc]simplify: iters left: 5 (15 enodes) 1540201895.657 * * [misc]simplify: iters left: 4 (18 enodes) 1540201895.660 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201895.660 * [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))))) 1540201895.660 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540201895.660 * * [misc]simplify: iters left: 6 (11 enodes) 1540201895.661 * * [misc]simplify: iters left: 5 (14 enodes) 1540201895.663 * * [misc]simplify: iters left: 4 (17 enodes) 1540201895.665 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540201895.665 * [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))))) 1540201895.665 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1540201895.665 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540201895.666 * * [misc]simplify: iters left: 6 (10 enodes) 1540201895.667 * * [misc]simplify: iters left: 5 (12 enodes) 1540201895.668 * * [misc]simplify: iters left: 4 (15 enodes) 1540201895.670 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540201895.670 * [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))))) 1540201895.670 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540201895.671 * * [misc]simplify: iters left: 6 (11 enodes) 1540201895.673 * * [misc]simplify: iters left: 5 (14 enodes) 1540201895.677 * * [misc]simplify: iters left: 4 (17 enodes) 1540201895.682 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540201895.682 * [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))))) 1540201895.682 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1540201895.682 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1540201895.683 * * [misc]simplify: iters left: 6 (9 enodes) 1540201895.685 * * [misc]simplify: iters left: 5 (13 enodes) 1540201895.690 * * [misc]simplify: iters left: 4 (18 enodes) 1540201895.694 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540201895.694 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540201895.694 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540201895.694 * * [misc]simplify: iters left: 6 (10 enodes) 1540201895.697 * * [misc]simplify: iters left: 5 (13 enodes) 1540201895.701 * * [misc]simplify: iters left: 4 (16 enodes) 1540201895.706 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540201895.706 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540201895.706 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1540201895.706 * [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)))) 1540201895.706 * * [misc]simplify: iters left: 6 (16 enodes) 1540201895.709 * * [misc]simplify: iters left: 5 (28 enodes) 1540201895.713 * * [misc]simplify: iters left: 4 (46 enodes) 1540201895.719 * * [misc]simplify: iters left: 3 (50 enodes) 1540201895.725 * * [misc]simplify: iters left: 2 (53 enodes) 1540201895.731 * [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)))) 1540201895.731 * [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))))) 1540201895.732 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540201895.732 * * [misc]simplify: iters left: 6 (14 enodes) 1540201895.734 * * [misc]simplify: iters left: 5 (20 enodes) 1540201895.738 * * [misc]simplify: iters left: 4 (29 enodes) 1540201895.746 * * [misc]simplify: iters left: 3 (30 enodes) 1540201895.754 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540201895.754 * [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))))) 1540201895.754 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1540201895.754 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540201895.754 * * [misc]simplify: iters left: 6 (15 enodes) 1540201895.759 * * [misc]simplify: iters left: 5 (23 enodes) 1540201895.766 * * [misc]simplify: iters left: 4 (34 enodes) 1540201895.775 * * [misc]simplify: iters left: 3 (37 enodes) 1540201895.784 * [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)))))) 1540201895.785 * [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))))) 1540201895.785 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201895.785 * * [misc]simplify: iters left: 6 (14 enodes) 1540201895.790 * * [misc]simplify: iters left: 5 (20 enodes) 1540201895.795 * * [misc]simplify: iters left: 4 (29 enodes) 1540201895.799 * * [misc]simplify: iters left: 3 (30 enodes) 1540201895.803 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201895.803 * [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))))) 1540201895.803 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1540201895.803 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1540201895.803 * * [misc]simplify: iters left: 6 (14 enodes) 1540201895.805 * * [misc]simplify: iters left: 5 (24 enodes) 1540201895.809 * * [misc]simplify: iters left: 4 (39 enodes) 1540201895.814 * * [misc]simplify: iters left: 3 (54 enodes) 1540201895.820 * * [misc]simplify: iters left: 2 (80 enodes) 1540201895.833 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1540201895.833 * [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)))) 1540201895.833 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540201895.833 * * [misc]simplify: iters left: 6 (13 enodes) 1540201895.837 * * [misc]simplify: iters left: 5 (19 enodes) 1540201895.844 * * [misc]simplify: iters left: 4 (28 enodes) 1540201895.852 * * [misc]simplify: iters left: 3 (30 enodes) 1540201895.857 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540201895.858 * [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)))) 1540201895.858 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1540201895.858 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201895.858 * * [misc]simplify: iters left: 6 (15 enodes) 1540201895.860 * * [misc]simplify: iters left: 5 (23 enodes) 1540201895.863 * * [misc]simplify: iters left: 4 (32 enodes) 1540201895.867 * * [misc]simplify: iters left: 3 (34 enodes) 1540201895.871 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201895.871 * [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))))) 1540201895.872 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540201895.872 * * [misc]simplify: iters left: 6 (14 enodes) 1540201895.874 * * [misc]simplify: iters left: 5 (20 enodes) 1540201895.877 * * [misc]simplify: iters left: 4 (29 enodes) 1540201895.880 * * [misc]simplify: iters left: 3 (30 enodes) 1540201895.884 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540201895.884 * [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))))) 1540201895.884 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1540201895.884 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201895.884 * * [misc]simplify: iters left: 6 (14 enodes) 1540201895.886 * * [misc]simplify: iters left: 5 (20 enodes) 1540201895.890 * * [misc]simplify: iters left: 4 (29 enodes) 1540201895.898 * * [misc]simplify: iters left: 3 (30 enodes) 1540201895.906 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201895.906 * [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))))) 1540201895.906 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201895.906 * * [misc]simplify: iters left: 6 (14 enodes) 1540201895.911 * * [misc]simplify: iters left: 5 (20 enodes) 1540201895.917 * * [misc]simplify: iters left: 4 (29 enodes) 1540201895.925 * * [misc]simplify: iters left: 3 (30 enodes) 1540201895.933 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201895.933 * [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))))) 1540201895.933 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1540201895.933 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1540201895.933 * * [misc]simplify: iters left: 6 (13 enodes) 1540201895.937 * * [misc]simplify: iters left: 5 (21 enodes) 1540201895.944 * * [misc]simplify: iters left: 4 (32 enodes) 1540201895.949 * * [misc]simplify: iters left: 3 (33 enodes) 1540201895.953 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1540201895.953 * [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)))) 1540201895.953 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540201895.953 * * [misc]simplify: iters left: 6 (13 enodes) 1540201895.955 * * [misc]simplify: iters left: 5 (19 enodes) 1540201895.958 * * [misc]simplify: iters left: 4 (28 enodes) 1540201895.962 * * [misc]simplify: iters left: 3 (30 enodes) 1540201895.965 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540201895.965 * [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)))) 1540201895.965 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1540201895.965 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201895.965 * * [misc]simplify: iters left: 6 (6 enodes) 1540201895.966 * * [misc]simplify: iters left: 5 (10 enodes) 1540201895.968 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540201895.968 * [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))))) 1540201895.968 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540201895.968 * * [misc]simplify: iters left: 6 (13 enodes) 1540201895.970 * * [misc]simplify: iters left: 5 (19 enodes) 1540201895.972 * * [misc]simplify: iters left: 4 (28 enodes) 1540201895.976 * * [misc]simplify: iters left: 3 (30 enodes) 1540201895.984 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540201895.984 * [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))))) 1540201895.984 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1540201895.984 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540201895.984 * * [misc]simplify: iters left: 4 (5 enodes) 1540201895.985 * * [misc]simplify: iters left: 3 (7 enodes) 1540201895.987 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540201895.987 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540201895.988 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540201895.988 * * [misc]simplify: iters left: 6 (13 enodes) 1540201895.991 * * [misc]simplify: iters left: 5 (19 enodes) 1540201895.997 * * [misc]simplify: iters left: 4 (28 enodes) 1540201896.005 * * [misc]simplify: iters left: 3 (30 enodes) 1540201896.013 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540201896.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540201896.013 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1540201896.013 * [enter]simplify: Simplifying (/ 1 1) 1540201896.013 * * [misc]simplify: iters left: 2 (2 enodes) 1540201896.014 * * [misc]simplify: iters left: 1 (4 enodes) 1540201896.015 * [exit]simplify: Simplified to 1 1540201896.015 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1540201896.015 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540201896.015 * * [misc]simplify: iters left: 6 (12 enodes) 1540201896.019 * * [misc]simplify: iters left: 5 (18 enodes) 1540201896.025 * * [misc]simplify: iters left: 4 (27 enodes) 1540201896.032 * * [misc]simplify: iters left: 3 (29 enodes) 1540201896.040 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1540201896.040 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1540201896.040 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1540201896.040 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1540201896.040 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1540201896.040 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1540201896.041 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540201896.041 * * [misc]simplify: iters left: 2 (3 enodes) 1540201896.042 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540201896.042 * [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)))) 1540201896.042 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1540201896.042 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540201896.042 * * [misc]simplify: iters left: 2 (3 enodes) 1540201896.043 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540201896.043 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1540201896.043 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1540201896.043 * [enter]simplify: Simplifying (sqrt k) 1540201896.043 * * [misc]simplify: iters left: 1 (2 enodes) 1540201896.044 * [exit]simplify: Simplified to (sqrt k) 1540201896.044 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1540201896.044 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1540201896.044 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540201896.044 * * [misc]simplify: iters left: 5 (7 enodes) 1540201896.047 * * [misc]simplify: iters left: 4 (12 enodes) 1540201896.051 * * [misc]simplify: iters left: 3 (18 enodes) 1540201896.056 * * [misc]simplify: iters left: 2 (20 enodes) 1540201896.061 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540201896.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540201896.061 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1540201896.061 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540201896.061 * * [misc]simplify: iters left: 5 (7 enodes) 1540201896.063 * * [misc]simplify: iters left: 4 (12 enodes) 1540201896.067 * * [misc]simplify: iters left: 3 (18 enodes) 1540201896.072 * * [misc]simplify: iters left: 2 (20 enodes) 1540201896.077 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540201896.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540201896.077 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1540201896.078 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540201896.078 * * [misc]simplify: iters left: 5 (7 enodes) 1540201896.080 * * [misc]simplify: iters left: 4 (9 enodes) 1540201896.083 * * [misc]simplify: iters left: 3 (12 enodes) 1540201896.086 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540201896.086 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201896.086 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1540201896.087 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540201896.088 * * [misc]simplify: iters left: 6 (12 enodes) 1540201896.092 * * [misc]simplify: iters left: 5 (18 enodes) 1540201896.097 * * [misc]simplify: iters left: 4 (27 enodes) 1540201896.105 * * [misc]simplify: iters left: 3 (29 enodes) 1540201896.112 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1540201896.112 * [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))))))) 1540201896.112 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1540201896.112 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540201896.112 * * [misc]simplify: iters left: 6 (11 enodes) 1540201896.114 * * [misc]simplify: iters left: 5 (17 enodes) 1540201896.116 * * [misc]simplify: iters left: 4 (26 enodes) 1540201896.119 * * [misc]simplify: iters left: 3 (27 enodes) 1540201896.122 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540201896.122 * [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))))))) 1540201896.123 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1540201896.123 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1540201896.123 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540201896.123 * * [misc]simplify: iters left: 5 (7 enodes) 1540201896.124 * * [misc]simplify: iters left: 4 (12 enodes) 1540201896.125 * * [misc]simplify: iters left: 3 (18 enodes) 1540201896.128 * * [misc]simplify: iters left: 2 (20 enodes) 1540201896.130 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540201896.130 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1540201896.130 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1540201896.130 * [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))))) 1540201896.130 * * [misc]simplify: iters left: 6 (37 enodes) 1540201896.138 * * [misc]simplify: iters left: 5 (108 enodes) 1540201896.174 * * [misc]simplify: iters left: 4 (368 enodes) 1540201896.439 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1540201896.439 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1540201896.439 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1540201896.439 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1540201896.439 * * [misc]simplify: iters left: 6 (15 enodes) 1540201896.445 * * [misc]simplify: iters left: 5 (33 enodes) 1540201896.456 * * [misc]simplify: iters left: 4 (64 enodes) 1540201896.481 * * [misc]simplify: iters left: 3 (179 enodes) 1540201896.583 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1540201896.583 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1540201896.583 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1540201896.584 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1540201896.584 * * [misc]simplify: iters left: 6 (15 enodes) 1540201896.587 * * [misc]simplify: iters left: 5 (30 enodes) 1540201896.592 * * [misc]simplify: iters left: 4 (65 enodes) 1540201896.608 * * [misc]simplify: iters left: 3 (208 enodes) 1540201896.740 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1540201896.740 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1540201896.740 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1540201896.741 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540201896.741 * * [misc]simplify: iters left: 4 (5 enodes) 1540201896.742 * * [misc]simplify: iters left: 3 (9 enodes) 1540201896.743 * * [misc]simplify: iters left: 2 (15 enodes) 1540201896.745 * * [misc]simplify: iters left: 1 (17 enodes) 1540201896.746 * [exit]simplify: Simplified to (* (* PI n) 2) 1540201896.746 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540201896.747 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1540201896.747 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540201896.747 * * [misc]simplify: iters left: 4 (5 enodes) 1540201896.748 * * [misc]simplify: iters left: 3 (9 enodes) 1540201896.749 * * [misc]simplify: iters left: 2 (15 enodes) 1540201896.751 * * [misc]simplify: iters left: 1 (17 enodes) 1540201896.752 * [exit]simplify: Simplified to (* (* PI n) 2) 1540201896.752 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540201896.752 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1540201896.753 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540201896.753 * * [misc]simplify: iters left: 4 (5 enodes) 1540201896.753 * * [misc]simplify: iters left: 3 (9 enodes) 1540201896.755 * * [misc]simplify: iters left: 2 (15 enodes) 1540201896.757 * * [misc]simplify: iters left: 1 (17 enodes) 1540201896.758 * [exit]simplify: Simplified to (* (* PI n) 2) 1540201896.758 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540201896.758 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1540201896.759 * [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)))))))))))))))))))))) 1540201896.759 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540201896.759 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1540201896.759 * [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)))))))) 1540201896.759 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540201896.759 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1540201896.759 * [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))))))))))) 1540201896.759 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540201896.759 * * * [misc]progress: adding candidates to table 1540201897.585 * * [misc]progress: iteration 2 / 4 1540201897.585 * * * [misc]progress: picking best candidate 1540201897.648 * * * * [misc]pick: Picked # 1540201897.648 * * * [misc]progress: localizing error 1540201897.702 * * * [misc]progress: generating rewritten candidates 1540201897.702 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1540201897.707 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1540201897.720 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1540201897.745 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1540201897.751 * * * [misc]progress: generating series expansions 1540201897.751 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1540201897.751 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540201897.751 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540201897.751 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201897.752 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201897.752 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201897.752 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201897.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.752 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201897.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.752 * [misc]taylor: Taking taylor expansion of k in k 1540201897.752 * [misc]backup-simplify: Simplify 0 into 0 1540201897.752 * [misc]backup-simplify: Simplify 1 into 1 1540201897.752 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201897.752 * [misc]taylor: Taking taylor expansion of PI in k 1540201897.752 * [misc]backup-simplify: Simplify PI into PI 1540201897.753 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.753 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201897.753 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.753 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.754 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201897.754 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201897.754 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201897.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201897.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201897.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201897.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.755 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201897.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.755 * [misc]taylor: Taking taylor expansion of k in k 1540201897.755 * [misc]backup-simplify: Simplify 0 into 0 1540201897.755 * [misc]backup-simplify: Simplify 1 into 1 1540201897.755 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201897.755 * [misc]taylor: Taking taylor expansion of PI in k 1540201897.755 * [misc]backup-simplify: Simplify PI into PI 1540201897.755 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.755 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201897.755 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.756 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.756 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201897.757 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201897.757 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540201897.760 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201897.760 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201897.760 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201897.760 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201897.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540201897.764 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540201897.765 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540201897.770 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201897.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201897.770 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.772 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540201897.776 * [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))) 1540201897.778 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540201897.780 * [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)))) 1540201897.780 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201897.780 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540201897.780 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201897.780 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201897.780 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201897.780 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201897.780 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.780 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201897.780 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.780 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.780 * [misc]taylor: Taking taylor expansion of k in k 1540201897.780 * [misc]backup-simplify: Simplify 0 into 0 1540201897.780 * [misc]backup-simplify: Simplify 1 into 1 1540201897.780 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.780 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201897.780 * [misc]taylor: Taking taylor expansion of PI in k 1540201897.780 * [misc]backup-simplify: Simplify PI into PI 1540201897.781 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.781 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201897.781 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201897.781 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201897.781 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201897.781 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201897.781 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201897.781 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201897.782 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201897.782 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201897.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.782 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201897.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.782 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.782 * [misc]taylor: Taking taylor expansion of k in k 1540201897.782 * [misc]backup-simplify: Simplify 0 into 0 1540201897.782 * [misc]backup-simplify: Simplify 1 into 1 1540201897.782 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.782 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201897.782 * [misc]taylor: Taking taylor expansion of PI in k 1540201897.782 * [misc]backup-simplify: Simplify PI into PI 1540201897.782 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.782 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201897.782 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201897.782 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201897.783 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201897.783 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201897.783 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201897.783 * [misc]backup-simplify: Simplify 0 into 0 1540201897.783 * [misc]backup-simplify: Simplify 0 into 0 1540201897.783 * [misc]backup-simplify: Simplify 0 into 0 1540201897.783 * [misc]backup-simplify: Simplify 0 into 0 1540201897.783 * [misc]backup-simplify: Simplify 0 into 0 1540201897.783 * [misc]backup-simplify: Simplify 0 into 0 1540201897.783 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540201897.783 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201897.783 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540201897.783 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201897.783 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201897.783 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201897.783 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201897.783 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201897.783 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.784 * [misc]taylor: Taking taylor expansion of k in k 1540201897.784 * [misc]backup-simplify: Simplify 0 into 0 1540201897.784 * [misc]backup-simplify: Simplify 1 into 1 1540201897.784 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.784 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201897.784 * [misc]taylor: Taking taylor expansion of PI in k 1540201897.784 * [misc]backup-simplify: Simplify PI into PI 1540201897.784 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.784 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201897.784 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.784 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201897.785 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201897.785 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201897.785 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201897.785 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201897.785 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201897.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201897.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.785 * [misc]taylor: Taking taylor expansion of k in k 1540201897.785 * [misc]backup-simplify: Simplify 0 into 0 1540201897.785 * [misc]backup-simplify: Simplify 1 into 1 1540201897.785 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.785 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201897.785 * [misc]taylor: Taking taylor expansion of PI in k 1540201897.785 * [misc]backup-simplify: Simplify PI into PI 1540201897.785 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.785 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201897.785 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.789 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201897.790 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201897.790 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201897.790 * [misc]backup-simplify: Simplify 0 into 0 1540201897.790 * [misc]backup-simplify: Simplify 0 into 0 1540201897.790 * [misc]backup-simplify: Simplify 0 into 0 1540201897.790 * [misc]backup-simplify: Simplify 0 into 0 1540201897.790 * [misc]backup-simplify: Simplify 0 into 0 1540201897.790 * [misc]backup-simplify: Simplify 0 into 0 1540201897.790 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540201897.790 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1540201897.790 * [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)) 1540201897.790 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1540201897.790 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1540201897.790 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1540201897.790 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540201897.790 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540201897.790 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540201897.790 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201897.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.790 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201897.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.790 * [misc]taylor: Taking taylor expansion of k in n 1540201897.791 * [misc]backup-simplify: Simplify k into k 1540201897.791 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540201897.791 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540201897.791 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.791 * [misc]backup-simplify: Simplify 2 into 2 1540201897.791 * [misc]taylor: Taking taylor expansion of n in n 1540201897.791 * [misc]backup-simplify: Simplify 0 into 0 1540201897.791 * [misc]backup-simplify: Simplify 1 into 1 1540201897.791 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201897.791 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540201897.791 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.791 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201897.791 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201897.791 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201897.791 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201897.792 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540201897.792 * [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)))) 1540201897.792 * [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))))) 1540201897.792 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540201897.792 * [misc]taylor: Taking taylor expansion of k in n 1540201897.792 * [misc]backup-simplify: Simplify k into k 1540201897.792 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540201897.792 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540201897.792 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540201897.792 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540201897.792 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540201897.792 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540201897.792 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540201897.792 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201897.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.792 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201897.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.792 * [misc]taylor: Taking taylor expansion of k in k 1540201897.792 * [misc]backup-simplify: Simplify 0 into 0 1540201897.792 * [misc]backup-simplify: Simplify 1 into 1 1540201897.792 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540201897.792 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540201897.792 * [misc]taylor: Taking taylor expansion of 2 in k 1540201897.792 * [misc]backup-simplify: Simplify 2 into 2 1540201897.792 * [misc]taylor: Taking taylor expansion of n in k 1540201897.792 * [misc]backup-simplify: Simplify n into n 1540201897.792 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540201897.793 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540201897.793 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201897.793 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.793 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.793 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540201897.793 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540201897.793 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540201897.793 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201897.793 * [misc]taylor: Taking taylor expansion of k in k 1540201897.793 * [misc]backup-simplify: Simplify 0 into 0 1540201897.793 * [misc]backup-simplify: Simplify 1 into 1 1540201897.793 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.794 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201897.794 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540201897.794 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540201897.794 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540201897.794 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540201897.794 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540201897.794 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201897.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.794 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201897.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.794 * [misc]taylor: Taking taylor expansion of k in k 1540201897.794 * [misc]backup-simplify: Simplify 0 into 0 1540201897.794 * [misc]backup-simplify: Simplify 1 into 1 1540201897.794 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540201897.794 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540201897.794 * [misc]taylor: Taking taylor expansion of 2 in k 1540201897.794 * [misc]backup-simplify: Simplify 2 into 2 1540201897.794 * [misc]taylor: Taking taylor expansion of n in k 1540201897.794 * [misc]backup-simplify: Simplify n into n 1540201897.794 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540201897.794 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540201897.794 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201897.794 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.794 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.794 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540201897.795 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540201897.795 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540201897.795 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201897.795 * [misc]taylor: Taking taylor expansion of k in k 1540201897.795 * [misc]backup-simplify: Simplify 0 into 0 1540201897.795 * [misc]backup-simplify: Simplify 1 into 1 1540201897.795 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.795 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201897.795 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1540201897.795 * [misc]taylor: Taking taylor expansion of 0 in n 1540201897.796 * [misc]backup-simplify: Simplify 0 into 0 1540201897.796 * [misc]backup-simplify: Simplify 0 into 0 1540201897.796 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540201897.796 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540201897.796 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201897.796 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201897.797 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201897.797 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540201897.797 * [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)))) 1540201897.797 * [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)))) 1540201897.798 * [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)))) 1540201897.798 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540201897.798 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540201897.798 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.798 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.798 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540201897.798 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540201897.798 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201897.798 * [misc]taylor: Taking taylor expansion of n in n 1540201897.798 * [misc]backup-simplify: Simplify 0 into 0 1540201897.798 * [misc]backup-simplify: Simplify 1 into 1 1540201897.798 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.798 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.798 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201897.798 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540201897.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.799 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540201897.799 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540201897.799 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540201897.799 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540201897.800 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540201897.800 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540201897.801 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540201897.801 * [misc]backup-simplify: Simplify 0 into 0 1540201897.801 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201897.802 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540201897.803 * [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 1540201897.803 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201897.803 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.803 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.803 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540201897.804 * [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))) 1540201897.805 * [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))))) 1540201897.807 * [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)))))) 1540201897.807 * [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 1540201897.807 * [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 1540201897.807 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1540201897.807 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.807 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.807 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1540201897.807 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1540201897.807 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.807 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.807 * [misc]backup-simplify: Simplify 2 into 2 1540201897.807 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.807 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.807 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1540201897.807 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540201897.808 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540201897.808 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.808 * [misc]backup-simplify: Simplify 2 into 2 1540201897.808 * [misc]taylor: Taking taylor expansion of n in n 1540201897.808 * [misc]backup-simplify: Simplify 0 into 0 1540201897.808 * [misc]backup-simplify: Simplify 1 into 1 1540201897.808 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201897.808 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540201897.808 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.808 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1540201897.808 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540201897.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.808 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540201897.808 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540201897.808 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540201897.808 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201897.808 * [misc]taylor: Taking taylor expansion of n in n 1540201897.808 * [misc]backup-simplify: Simplify 0 into 0 1540201897.808 * [misc]backup-simplify: Simplify 1 into 1 1540201897.808 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.809 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.809 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201897.809 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540201897.809 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540201897.809 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.809 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.809 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540201897.809 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540201897.809 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201897.809 * [misc]taylor: Taking taylor expansion of n in n 1540201897.809 * [misc]backup-simplify: Simplify 0 into 0 1540201897.809 * [misc]backup-simplify: Simplify 1 into 1 1540201897.809 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.809 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.809 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201897.809 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540201897.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.810 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540201897.810 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540201897.810 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201897.810 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1540201897.811 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1540201897.811 * [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))) 1540201897.811 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201897.812 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1540201897.812 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540201897.813 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201897.814 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1540201897.814 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1540201897.815 * [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))))))) 1540201897.816 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1540201897.817 * [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))))))) 1540201897.818 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540201897.818 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540201897.818 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540201897.819 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540201897.821 * [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))))))))) 1540201897.823 * [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))))))) 1540201897.825 * [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 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540201897.826 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1540201897.826 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201897.826 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201897.827 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540201897.828 * [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))) 1540201897.828 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540201897.829 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540201897.832 * [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)))))))))))) 1540201897.832 * [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))) 1540201897.832 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1540201897.832 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.832 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.832 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of k in n 1540201897.832 * [misc]backup-simplify: Simplify k into k 1540201897.832 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.832 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201897.832 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.832 * [misc]backup-simplify: Simplify 2 into 2 1540201897.832 * [misc]taylor: Taking taylor expansion of n in n 1540201897.832 * [misc]backup-simplify: Simplify 0 into 0 1540201897.832 * [misc]backup-simplify: Simplify 1 into 1 1540201897.832 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201897.832 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.832 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201897.833 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201897.833 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201897.833 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201897.833 * [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))) 1540201897.833 * [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)))) 1540201897.833 * [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))))) 1540201897.833 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540201897.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.833 * [misc]taylor: Taking taylor expansion of k in n 1540201897.834 * [misc]backup-simplify: Simplify k into k 1540201897.834 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.834 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540201897.834 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201897.834 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540201897.834 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.834 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.834 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of k in k 1540201897.834 * [misc]backup-simplify: Simplify 0 into 0 1540201897.834 * [misc]backup-simplify: Simplify 1 into 1 1540201897.834 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.834 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540201897.834 * [misc]taylor: Taking taylor expansion of 2 in k 1540201897.834 * [misc]backup-simplify: Simplify 2 into 2 1540201897.834 * [misc]taylor: Taking taylor expansion of n in k 1540201897.834 * [misc]backup-simplify: Simplify n into n 1540201897.834 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540201897.834 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540201897.834 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201897.834 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201897.835 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201897.835 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540201897.835 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201897.835 * [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))))) 1540201897.835 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201897.835 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.835 * [misc]taylor: Taking taylor expansion of k in k 1540201897.835 * [misc]backup-simplify: Simplify 0 into 0 1540201897.835 * [misc]backup-simplify: Simplify 1 into 1 1540201897.835 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.835 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.835 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201897.835 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540201897.835 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540201897.836 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201897.836 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540201897.836 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540201897.836 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201897.836 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.836 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201897.836 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.836 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.836 * [misc]taylor: Taking taylor expansion of k in k 1540201897.836 * [misc]backup-simplify: Simplify 0 into 0 1540201897.836 * [misc]backup-simplify: Simplify 1 into 1 1540201897.836 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.836 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540201897.836 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540201897.836 * [misc]taylor: Taking taylor expansion of 2 in k 1540201897.836 * [misc]backup-simplify: Simplify 2 into 2 1540201897.836 * [misc]taylor: Taking taylor expansion of n in k 1540201897.836 * [misc]backup-simplify: Simplify n into n 1540201897.836 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540201897.836 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540201897.836 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201897.836 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201897.836 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201897.836 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540201897.836 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201897.837 * [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))))) 1540201897.837 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201897.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.837 * [misc]taylor: Taking taylor expansion of k in k 1540201897.837 * [misc]backup-simplify: Simplify 0 into 0 1540201897.837 * [misc]backup-simplify: Simplify 1 into 1 1540201897.837 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.837 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.837 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201897.837 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540201897.837 * [misc]taylor: Taking taylor expansion of 0 in n 1540201897.837 * [misc]backup-simplify: Simplify 0 into 0 1540201897.837 * [misc]backup-simplify: Simplify 0 into 0 1540201897.838 * [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 1540201897.838 * [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))))))) 1540201897.838 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.838 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.838 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.838 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of k in n 1540201897.838 * [misc]backup-simplify: Simplify k into k 1540201897.838 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.838 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201897.838 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.838 * [misc]backup-simplify: Simplify 2 into 2 1540201897.838 * [misc]taylor: Taking taylor expansion of n in n 1540201897.838 * [misc]backup-simplify: Simplify 0 into 0 1540201897.838 * [misc]backup-simplify: Simplify 1 into 1 1540201897.838 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201897.838 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.838 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201897.839 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201897.839 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201897.839 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201897.839 * [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))) 1540201897.839 * [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)))) 1540201897.839 * [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))))) 1540201897.840 * [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))))) 1540201897.840 * [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))))))) 1540201897.840 * [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))))))) 1540201897.840 * [misc]backup-simplify: Simplify 0 into 0 1540201897.840 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201897.841 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201897.841 * [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 1540201897.842 * [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))))))) 1540201897.842 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.842 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.842 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.842 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.842 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of k in n 1540201897.842 * [misc]backup-simplify: Simplify k into k 1540201897.842 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.842 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201897.842 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.842 * [misc]backup-simplify: Simplify 2 into 2 1540201897.842 * [misc]taylor: Taking taylor expansion of n in n 1540201897.842 * [misc]backup-simplify: Simplify 0 into 0 1540201897.842 * [misc]backup-simplify: Simplify 1 into 1 1540201897.842 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201897.842 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.842 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201897.842 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201897.842 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201897.843 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201897.843 * [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))) 1540201897.843 * [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)))) 1540201897.843 * [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))))) 1540201897.843 * [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))))) 1540201897.844 * [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))))))) 1540201897.844 * [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))))))) 1540201897.844 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540201897.846 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201897.846 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201897.846 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201897.846 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.846 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.846 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201897.847 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540201897.847 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201897.848 * [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 1540201897.848 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1540201897.848 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.848 * [misc]backup-simplify: Simplify 0 into 0 1540201897.848 * [misc]backup-simplify: Simplify 0 into 0 1540201897.849 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201897.849 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201897.850 * [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 1540201897.850 * [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))))))) 1540201897.850 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.850 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.850 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.850 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.850 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of k in n 1540201897.850 * [misc]backup-simplify: Simplify k into k 1540201897.850 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.850 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201897.850 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.850 * [misc]backup-simplify: Simplify 2 into 2 1540201897.850 * [misc]taylor: Taking taylor expansion of n in n 1540201897.850 * [misc]backup-simplify: Simplify 0 into 0 1540201897.850 * [misc]backup-simplify: Simplify 1 into 1 1540201897.851 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201897.851 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.851 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201897.851 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201897.851 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201897.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201897.851 * [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))) 1540201897.852 * [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)))) 1540201897.852 * [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))))) 1540201897.852 * [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))))) 1540201897.853 * [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))))))) 1540201897.853 * [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))))))) 1540201897.855 * [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))))))))))) 1540201897.855 * [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))) 1540201897.855 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1540201897.855 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201897.855 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540201897.855 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540201897.855 * [misc]taylor: Taking taylor expansion of -1 in n 1540201897.855 * [misc]backup-simplify: Simplify -1 into -1 1540201897.855 * [misc]taylor: Taking taylor expansion of k in n 1540201897.855 * [misc]backup-simplify: Simplify k into k 1540201897.855 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540201897.855 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540201897.856 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540201897.856 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540201897.856 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201897.856 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201897.856 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201897.856 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201897.856 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201897.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.856 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.856 * [misc]taylor: Taking taylor expansion of k in n 1540201897.856 * [misc]backup-simplify: Simplify k into k 1540201897.856 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.856 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201897.856 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201897.856 * [misc]taylor: Taking taylor expansion of -2 in n 1540201897.856 * [misc]backup-simplify: Simplify -2 into -2 1540201897.856 * [misc]taylor: Taking taylor expansion of n in n 1540201897.856 * [misc]backup-simplify: Simplify 0 into 0 1540201897.856 * [misc]backup-simplify: Simplify 1 into 1 1540201897.857 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201897.857 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201897.857 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201897.857 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201897.857 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201897.858 * [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))) 1540201897.858 * [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)))) 1540201897.858 * [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))))) 1540201897.858 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540201897.858 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201897.858 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201897.858 * [misc]taylor: Taking taylor expansion of -1 in k 1540201897.858 * [misc]backup-simplify: Simplify -1 into -1 1540201897.858 * [misc]taylor: Taking taylor expansion of k in k 1540201897.858 * [misc]backup-simplify: Simplify 0 into 0 1540201897.859 * [misc]backup-simplify: Simplify 1 into 1 1540201897.859 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201897.859 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.859 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201897.859 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201897.860 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540201897.860 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540201897.860 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201897.860 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201897.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.860 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.860 * [misc]taylor: Taking taylor expansion of k in k 1540201897.860 * [misc]backup-simplify: Simplify 0 into 0 1540201897.860 * [misc]backup-simplify: Simplify 1 into 1 1540201897.860 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.860 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540201897.860 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540201897.860 * [misc]taylor: Taking taylor expansion of -2 in k 1540201897.860 * [misc]backup-simplify: Simplify -2 into -2 1540201897.860 * [misc]taylor: Taking taylor expansion of n in k 1540201897.860 * [misc]backup-simplify: Simplify n into n 1540201897.860 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540201897.860 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540201897.861 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201897.861 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.861 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540201897.861 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201897.861 * [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))) 1540201897.861 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540201897.861 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201897.861 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201897.861 * [misc]taylor: Taking taylor expansion of -1 in k 1540201897.861 * [misc]backup-simplify: Simplify -1 into -1 1540201897.861 * [misc]taylor: Taking taylor expansion of k in k 1540201897.861 * [misc]backup-simplify: Simplify 0 into 0 1540201897.861 * [misc]backup-simplify: Simplify 1 into 1 1540201897.862 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201897.862 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.862 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201897.862 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201897.862 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540201897.862 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540201897.862 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201897.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201897.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.862 * [misc]taylor: Taking taylor expansion of k in k 1540201897.862 * [misc]backup-simplify: Simplify 0 into 0 1540201897.862 * [misc]backup-simplify: Simplify 1 into 1 1540201897.863 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.863 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540201897.863 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540201897.863 * [misc]taylor: Taking taylor expansion of -2 in k 1540201897.863 * [misc]backup-simplify: Simplify -2 into -2 1540201897.863 * [misc]taylor: Taking taylor expansion of n in k 1540201897.863 * [misc]backup-simplify: Simplify n into n 1540201897.863 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540201897.863 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540201897.863 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201897.863 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.863 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540201897.864 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201897.864 * [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))) 1540201897.864 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201897.864 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.864 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.864 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201897.864 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201897.864 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201897.864 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201897.864 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201897.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.864 * [misc]taylor: Taking taylor expansion of k in n 1540201897.864 * [misc]backup-simplify: Simplify k into k 1540201897.864 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.864 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201897.864 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201897.864 * [misc]taylor: Taking taylor expansion of -2 in n 1540201897.864 * [misc]backup-simplify: Simplify -2 into -2 1540201897.865 * [misc]taylor: Taking taylor expansion of n in n 1540201897.865 * [misc]backup-simplify: Simplify 0 into 0 1540201897.865 * [misc]backup-simplify: Simplify 1 into 1 1540201897.865 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201897.865 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201897.865 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201897.865 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201897.865 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201897.866 * [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))) 1540201897.866 * [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)))) 1540201897.866 * [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))))) 1540201897.867 * [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))))) 1540201897.867 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201897.868 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201897.869 * [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))))) 1540201897.869 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.869 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.869 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.869 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of k in n 1540201897.869 * [misc]backup-simplify: Simplify k into k 1540201897.869 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.869 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.869 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201897.869 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201897.870 * [misc]taylor: Taking taylor expansion of -2 in n 1540201897.870 * [misc]backup-simplify: Simplify -2 into -2 1540201897.870 * [misc]taylor: Taking taylor expansion of n in n 1540201897.870 * [misc]backup-simplify: Simplify 0 into 0 1540201897.870 * [misc]backup-simplify: Simplify 1 into 1 1540201897.870 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201897.870 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201897.870 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201897.870 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201897.871 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201897.871 * [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))) 1540201897.871 * [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)))) 1540201897.872 * [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))))) 1540201897.872 * [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))))) 1540201897.872 * [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))))))) 1540201897.873 * [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))))))) 1540201897.873 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540201897.875 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540201897.876 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201897.876 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201897.876 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.876 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201897.877 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540201897.878 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201897.879 * [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 1540201897.879 * [misc]backup-simplify: Simplify 0 into 0 1540201897.879 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201897.881 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201897.881 * [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))))) 1540201897.881 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.882 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.882 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.882 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of k in n 1540201897.882 * [misc]backup-simplify: Simplify k into k 1540201897.882 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.882 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201897.882 * [misc]taylor: Taking taylor expansion of -2 in n 1540201897.882 * [misc]backup-simplify: Simplify -2 into -2 1540201897.882 * [misc]taylor: Taking taylor expansion of n in n 1540201897.882 * [misc]backup-simplify: Simplify 0 into 0 1540201897.882 * [misc]backup-simplify: Simplify 1 into 1 1540201897.882 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201897.883 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201897.883 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201897.883 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201897.883 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201897.883 * [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))) 1540201897.884 * [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)))) 1540201897.884 * [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))))) 1540201897.884 * [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))))) 1540201897.885 * [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))))))) 1540201897.885 * [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))))))) 1540201897.887 * [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))))))))) 1540201897.887 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1540201897.887 * [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))) 1540201897.887 * [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 1540201897.887 * [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 1540201897.887 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1540201897.888 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540201897.888 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540201897.888 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540201897.888 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201897.888 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.888 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201897.888 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.888 * [misc]taylor: Taking taylor expansion of k in n 1540201897.888 * [misc]backup-simplify: Simplify k into k 1540201897.888 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540201897.888 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540201897.888 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.888 * [misc]backup-simplify: Simplify 2 into 2 1540201897.888 * [misc]taylor: Taking taylor expansion of n in n 1540201897.888 * [misc]backup-simplify: Simplify 0 into 0 1540201897.888 * [misc]backup-simplify: Simplify 1 into 1 1540201897.888 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201897.888 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540201897.889 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.889 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201897.889 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201897.889 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201897.889 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201897.889 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540201897.890 * [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)))) 1540201897.890 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1540201897.890 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1540201897.890 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1540201897.890 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201897.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.890 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201897.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201897.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.890 * [misc]taylor: Taking taylor expansion of k in n 1540201897.890 * [misc]backup-simplify: Simplify k into k 1540201897.890 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201897.890 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.890 * [misc]backup-simplify: Simplify PI into PI 1540201897.891 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.891 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201897.891 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201897.891 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201897.891 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1540201897.891 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1540201897.892 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540201897.892 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201897.892 * [misc]taylor: Taking taylor expansion of k in n 1540201897.892 * [misc]backup-simplify: Simplify k into k 1540201897.892 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201897.892 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540201897.892 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201897.892 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540201897.892 * [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 1540201897.892 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540201897.892 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540201897.892 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540201897.892 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540201897.892 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201897.892 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.892 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201897.892 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.892 * [misc]taylor: Taking taylor expansion of k in k 1540201897.892 * [misc]backup-simplify: Simplify 0 into 0 1540201897.892 * [misc]backup-simplify: Simplify 1 into 1 1540201897.892 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540201897.893 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540201897.893 * [misc]taylor: Taking taylor expansion of 2 in k 1540201897.893 * [misc]backup-simplify: Simplify 2 into 2 1540201897.893 * [misc]taylor: Taking taylor expansion of n in k 1540201897.893 * [misc]backup-simplify: Simplify n into n 1540201897.893 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540201897.893 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540201897.893 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201897.893 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.893 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.893 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540201897.893 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540201897.893 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201897.893 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201897.894 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201897.894 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201897.894 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.894 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201897.894 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.894 * [misc]taylor: Taking taylor expansion of k in k 1540201897.894 * [misc]backup-simplify: Simplify 0 into 0 1540201897.894 * [misc]backup-simplify: Simplify 1 into 1 1540201897.894 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201897.894 * [misc]taylor: Taking taylor expansion of PI in k 1540201897.894 * [misc]backup-simplify: Simplify PI into PI 1540201897.894 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.894 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201897.894 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.895 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.895 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201897.896 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201897.896 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201897.896 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.896 * [misc]taylor: Taking taylor expansion of k in k 1540201897.896 * [misc]backup-simplify: Simplify 0 into 0 1540201897.896 * [misc]backup-simplify: Simplify 1 into 1 1540201897.896 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.897 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.897 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201897.897 * [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 1540201897.897 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540201897.897 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540201897.897 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540201897.897 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540201897.897 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201897.897 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.897 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201897.897 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.897 * [misc]taylor: Taking taylor expansion of k in k 1540201897.897 * [misc]backup-simplify: Simplify 0 into 0 1540201897.897 * [misc]backup-simplify: Simplify 1 into 1 1540201897.898 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540201897.898 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540201897.898 * [misc]taylor: Taking taylor expansion of 2 in k 1540201897.898 * [misc]backup-simplify: Simplify 2 into 2 1540201897.898 * [misc]taylor: Taking taylor expansion of n in k 1540201897.898 * [misc]backup-simplify: Simplify n into n 1540201897.898 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540201897.898 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540201897.898 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201897.898 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.898 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.898 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540201897.898 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540201897.898 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201897.899 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201897.899 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201897.899 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201897.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.899 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201897.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201897.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201897.899 * [misc]taylor: Taking taylor expansion of k in k 1540201897.899 * [misc]backup-simplify: Simplify 0 into 0 1540201897.899 * [misc]backup-simplify: Simplify 1 into 1 1540201897.899 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201897.899 * [misc]taylor: Taking taylor expansion of PI in k 1540201897.899 * [misc]backup-simplify: Simplify PI into PI 1540201897.899 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.899 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201897.899 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.900 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201897.900 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201897.901 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201897.901 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201897.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201897.901 * [misc]taylor: Taking taylor expansion of k in k 1540201897.901 * [misc]backup-simplify: Simplify 0 into 0 1540201897.901 * [misc]backup-simplify: Simplify 1 into 1 1540201897.901 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201897.901 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.902 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201897.902 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1540201897.902 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1540201897.902 * [misc]taylor: Taking taylor expansion of 0 in n 1540201897.902 * [misc]backup-simplify: Simplify 0 into 0 1540201897.902 * [misc]backup-simplify: Simplify 0 into 0 1540201897.905 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201897.905 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201897.905 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201897.905 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201897.906 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540201897.911 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540201897.911 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540201897.912 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540201897.912 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201897.912 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201897.912 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201897.913 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540201897.913 * [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)))) 1540201897.914 * [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)))))) 1540201897.916 * [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))))) 1540201897.916 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540201897.916 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540201897.916 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.916 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.916 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540201897.916 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.916 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.916 * [misc]backup-simplify: Simplify 2 into 2 1540201897.916 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.917 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.917 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201897.917 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201897.917 * [misc]taylor: Taking taylor expansion of n in n 1540201897.917 * [misc]backup-simplify: Simplify 0 into 0 1540201897.917 * [misc]backup-simplify: Simplify 1 into 1 1540201897.917 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.917 * [misc]backup-simplify: Simplify PI into PI 1540201897.917 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201897.918 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201897.918 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.918 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201897.918 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540201897.919 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201897.919 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.919 * [misc]backup-simplify: Simplify 0 into 0 1540201897.919 * [misc]backup-simplify: Simplify 0 into 0 1540201897.919 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201897.920 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201897.924 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201897.925 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201897.925 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.925 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.926 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540201897.930 * [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))) 1540201897.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540201897.932 * [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 1540201897.932 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201897.933 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.933 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540201897.934 * [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))) 1540201897.937 * [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))))))) 1540201897.941 * [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))))))))) 1540201897.941 * [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 1540201897.942 * [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 1540201897.942 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540201897.942 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.942 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.942 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540201897.942 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540201897.942 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.942 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.942 * [misc]backup-simplify: Simplify 2 into 2 1540201897.942 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.942 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.942 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201897.942 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.942 * [misc]backup-simplify: Simplify PI into PI 1540201897.943 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.943 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201897.943 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201897.943 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.943 * [misc]backup-simplify: Simplify PI into PI 1540201897.943 * [misc]taylor: Taking taylor expansion of n in n 1540201897.943 * [misc]backup-simplify: Simplify 0 into 0 1540201897.943 * [misc]backup-simplify: Simplify 1 into 1 1540201897.943 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201897.944 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201897.944 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.944 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201897.944 * [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 1540201897.944 * [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 1540201897.944 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540201897.944 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.944 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.944 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540201897.944 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.944 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.944 * [misc]backup-simplify: Simplify 2 into 2 1540201897.945 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.945 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.945 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201897.945 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201897.945 * [misc]taylor: Taking taylor expansion of n in n 1540201897.945 * [misc]backup-simplify: Simplify 0 into 0 1540201897.945 * [misc]backup-simplify: Simplify 1 into 1 1540201897.945 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.945 * [misc]backup-simplify: Simplify PI into PI 1540201897.945 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201897.946 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201897.946 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.947 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201897.947 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1540201897.947 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1540201897.947 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.947 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.947 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1540201897.947 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1540201897.947 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.947 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.947 * [misc]backup-simplify: Simplify 2 into 2 1540201897.947 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.947 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.948 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540201897.948 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540201897.948 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.948 * [misc]backup-simplify: Simplify 2 into 2 1540201897.948 * [misc]taylor: Taking taylor expansion of n in n 1540201897.948 * [misc]backup-simplify: Simplify 0 into 0 1540201897.948 * [misc]backup-simplify: Simplify 1 into 1 1540201897.948 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201897.948 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540201897.948 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.948 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201897.948 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201897.948 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.948 * [misc]backup-simplify: Simplify PI into PI 1540201897.948 * [misc]taylor: Taking taylor expansion of n in n 1540201897.948 * [misc]backup-simplify: Simplify 0 into 0 1540201897.948 * [misc]backup-simplify: Simplify 1 into 1 1540201897.949 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201897.949 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201897.949 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.950 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201897.950 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540201897.951 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540201897.951 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201897.952 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540201897.952 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201897.952 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201897.952 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1540201897.953 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1540201897.953 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201897.953 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.953 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.954 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.954 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.954 * [misc]backup-simplify: Simplify 0 into 0 1540201897.955 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201897.956 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201897.958 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201897.959 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201897.959 * [misc]backup-simplify: Simplify 0 into 0 1540201897.959 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201897.960 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201897.966 * [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 1540201897.967 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201897.967 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.967 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.969 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540201897.975 * [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))) 1540201897.976 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1540201897.978 * [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 1540201897.979 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201897.979 * [misc]backup-simplify: Simplify (- 0) into 0 1540201897.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201897.979 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1540201897.981 * [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))) 1540201897.985 * [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))))))))) 1540201897.990 * [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))))))))))))))) 1540201897.990 * [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 1540201897.990 * [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 1540201897.990 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540201897.990 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.990 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.990 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540201897.990 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540201897.990 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.990 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.990 * [misc]backup-simplify: Simplify 2 into 2 1540201897.990 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.990 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.990 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201897.990 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.990 * [misc]backup-simplify: Simplify PI into PI 1540201897.991 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.991 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201897.991 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201897.991 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.991 * [misc]backup-simplify: Simplify PI into PI 1540201897.991 * [misc]taylor: Taking taylor expansion of n in n 1540201897.991 * [misc]backup-simplify: Simplify 0 into 0 1540201897.991 * [misc]backup-simplify: Simplify 1 into 1 1540201897.991 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201897.991 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201897.991 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.992 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201897.992 * [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 1540201897.992 * [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 1540201897.992 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1540201897.992 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.992 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.992 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1540201897.992 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1540201897.992 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.992 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.992 * [misc]backup-simplify: Simplify 2 into 2 1540201897.992 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.992 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.992 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1540201897.992 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201897.992 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.992 * [misc]backup-simplify: Simplify PI into PI 1540201897.992 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.992 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201897.992 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201897.992 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.992 * [misc]backup-simplify: Simplify PI into PI 1540201897.992 * [misc]taylor: Taking taylor expansion of n in n 1540201897.992 * [misc]backup-simplify: Simplify 0 into 0 1540201897.993 * [misc]backup-simplify: Simplify 1 into 1 1540201897.993 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201897.993 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201897.993 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.993 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201897.993 * [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 1540201897.993 * [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 1540201897.993 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1540201897.994 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.994 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.994 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1540201897.994 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1540201897.994 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.994 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.994 * [misc]backup-simplify: Simplify 2 into 2 1540201897.994 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.994 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.994 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1540201897.994 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540201897.994 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540201897.994 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.994 * [misc]backup-simplify: Simplify 2 into 2 1540201897.994 * [misc]taylor: Taking taylor expansion of n in n 1540201897.994 * [misc]backup-simplify: Simplify 0 into 0 1540201897.994 * [misc]backup-simplify: Simplify 1 into 1 1540201897.994 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201897.994 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540201897.994 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.995 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201897.995 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201897.995 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201897.995 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.995 * [misc]backup-simplify: Simplify PI into PI 1540201897.995 * [misc]taylor: Taking taylor expansion of n in n 1540201897.995 * [misc]backup-simplify: Simplify 0 into 0 1540201897.995 * [misc]backup-simplify: Simplify 1 into 1 1540201897.995 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201897.995 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201897.995 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.996 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201897.996 * [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 1540201897.996 * [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 1540201897.996 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1540201897.996 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.996 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.996 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1540201897.996 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1540201897.996 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.996 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.996 * [misc]backup-simplify: Simplify 2 into 2 1540201897.996 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.996 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.996 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1540201897.996 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540201897.996 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540201897.996 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.996 * [misc]backup-simplify: Simplify 2 into 2 1540201897.996 * [misc]taylor: Taking taylor expansion of n in n 1540201897.996 * [misc]backup-simplify: Simplify 0 into 0 1540201897.996 * [misc]backup-simplify: Simplify 1 into 1 1540201897.996 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201897.997 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540201897.997 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201897.997 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201897.997 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.997 * [misc]backup-simplify: Simplify PI into PI 1540201897.997 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201897.997 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201897.997 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201897.997 * [misc]taylor: Taking taylor expansion of n in n 1540201897.997 * [misc]backup-simplify: Simplify 0 into 0 1540201897.997 * [misc]backup-simplify: Simplify 1 into 1 1540201897.997 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.997 * [misc]backup-simplify: Simplify PI into PI 1540201897.997 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201897.998 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201897.998 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.998 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201897.998 * [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 1540201897.998 * [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 1540201897.998 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540201897.998 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201897.998 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201897.998 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540201897.998 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201897.998 * [misc]taylor: Taking taylor expansion of 2 in n 1540201897.998 * [misc]backup-simplify: Simplify 2 into 2 1540201897.998 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201897.998 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201897.998 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201897.998 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201897.998 * [misc]taylor: Taking taylor expansion of n in n 1540201897.998 * [misc]backup-simplify: Simplify 0 into 0 1540201897.999 * [misc]backup-simplify: Simplify 1 into 1 1540201897.999 * [misc]taylor: Taking taylor expansion of PI in n 1540201897.999 * [misc]backup-simplify: Simplify PI into PI 1540201897.999 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201897.999 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201897.999 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201897.999 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201897.999 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1540201897.999 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1540201898.000 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201898.000 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201898.000 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1540201898.000 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1540201898.000 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201898.000 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.000 * [misc]backup-simplify: Simplify 2 into 2 1540201898.000 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201898.000 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201898.000 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540201898.000 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540201898.000 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.000 * [misc]backup-simplify: Simplify 2 into 2 1540201898.000 * [misc]taylor: Taking taylor expansion of n in n 1540201898.000 * [misc]backup-simplify: Simplify 0 into 0 1540201898.000 * [misc]backup-simplify: Simplify 1 into 1 1540201898.000 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201898.000 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540201898.000 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.000 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201898.000 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201898.000 * [misc]taylor: Taking taylor expansion of PI in n 1540201898.000 * [misc]backup-simplify: Simplify PI into PI 1540201898.000 * [misc]taylor: Taking taylor expansion of n in n 1540201898.000 * [misc]backup-simplify: Simplify 0 into 0 1540201898.000 * [misc]backup-simplify: Simplify 1 into 1 1540201898.001 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201898.001 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201898.001 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201898.001 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201898.002 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540201898.002 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540201898.002 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201898.003 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1540201898.003 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1540201898.004 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1540201898.004 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201898.004 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201898.005 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201898.005 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1540201898.005 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1540201898.005 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1540201898.006 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201898.006 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201898.006 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1540201898.006 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1540201898.007 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1540201898.007 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201898.007 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540201898.007 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201898.007 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201898.008 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1540201898.008 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1540201898.008 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201898.008 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.008 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.008 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.008 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.008 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.009 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.009 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.009 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.009 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.009 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.009 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.009 * [misc]backup-simplify: Simplify 0 into 0 1540201898.010 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201898.011 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1540201898.012 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540201898.013 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540201898.014 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201898.015 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201898.016 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540201898.018 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201898.018 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201898.019 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1540201898.019 * [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)))))) 1540201898.021 * [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)))))) 1540201898.023 * [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)))))) 1540201898.026 * [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))))))) 1540201898.030 * [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))))))) 1540201898.035 * [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))))))))) 1540201898.042 * [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))))))))) 1540201898.049 * [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))))))))) 1540201898.052 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540201898.053 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540201898.054 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540201898.056 * [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)))) 1540201898.060 * [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)))) 1540201898.062 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540201898.063 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540201898.073 * [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))))))))))))))) 1540201898.073 * [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)) 1540201898.073 * [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 1540201898.073 * [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 1540201898.073 * [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 1540201898.073 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.074 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201898.074 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201898.074 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.074 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.074 * [misc]taylor: Taking taylor expansion of k in n 1540201898.074 * [misc]backup-simplify: Simplify k into k 1540201898.074 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.074 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201898.074 * [misc]taylor: Taking taylor expansion of PI in n 1540201898.074 * [misc]backup-simplify: Simplify PI into PI 1540201898.074 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.074 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.075 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.075 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.075 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201898.075 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.075 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.075 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201898.075 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201898.076 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.076 * [misc]taylor: Taking taylor expansion of k in n 1540201898.076 * [misc]backup-simplify: Simplify k into k 1540201898.076 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.076 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201898.076 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201898.076 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.076 * [misc]backup-simplify: Simplify 2 into 2 1540201898.076 * [misc]taylor: Taking taylor expansion of n in n 1540201898.076 * [misc]backup-simplify: Simplify 0 into 0 1540201898.076 * [misc]backup-simplify: Simplify 1 into 1 1540201898.076 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201898.076 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.076 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.076 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.077 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.077 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.077 * [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))) 1540201898.078 * [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)))) 1540201898.078 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540201898.078 * [misc]taylor: Taking taylor expansion of k in n 1540201898.078 * [misc]backup-simplify: Simplify k into k 1540201898.078 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540201898.078 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540201898.078 * [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 1540201898.078 * [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 1540201898.078 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201898.078 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201898.078 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201898.078 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201898.078 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.078 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.078 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.078 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.078 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.078 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.078 * [misc]taylor: Taking taylor expansion of k in k 1540201898.078 * [misc]backup-simplify: Simplify 0 into 0 1540201898.078 * [misc]backup-simplify: Simplify 1 into 1 1540201898.078 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.078 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201898.079 * [misc]taylor: Taking taylor expansion of PI in k 1540201898.079 * [misc]backup-simplify: Simplify PI into PI 1540201898.079 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.079 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.079 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201898.079 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201898.080 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201898.080 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.080 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201898.080 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540201898.080 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540201898.080 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201898.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.080 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.080 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.080 * [misc]taylor: Taking taylor expansion of k in k 1540201898.080 * [misc]backup-simplify: Simplify 0 into 0 1540201898.080 * [misc]backup-simplify: Simplify 1 into 1 1540201898.081 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.081 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540201898.081 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540201898.081 * [misc]taylor: Taking taylor expansion of 2 in k 1540201898.081 * [misc]backup-simplify: Simplify 2 into 2 1540201898.081 * [misc]taylor: Taking taylor expansion of n in k 1540201898.081 * [misc]backup-simplify: Simplify n into n 1540201898.081 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540201898.081 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540201898.081 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.081 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201898.081 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201898.082 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540201898.082 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.082 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201898.082 * [misc]taylor: Taking taylor expansion of k in k 1540201898.082 * [misc]backup-simplify: Simplify 0 into 0 1540201898.082 * [misc]backup-simplify: Simplify 1 into 1 1540201898.082 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201898.082 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201898.082 * [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 1540201898.082 * [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 1540201898.083 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201898.083 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201898.083 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201898.083 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201898.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.083 * [misc]taylor: Taking taylor expansion of k in k 1540201898.083 * [misc]backup-simplify: Simplify 0 into 0 1540201898.083 * [misc]backup-simplify: Simplify 1 into 1 1540201898.083 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.083 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201898.083 * [misc]taylor: Taking taylor expansion of PI in k 1540201898.083 * [misc]backup-simplify: Simplify PI into PI 1540201898.083 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.083 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.084 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201898.084 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201898.084 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201898.085 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.085 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201898.085 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540201898.085 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540201898.085 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201898.085 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.085 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.085 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.085 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.085 * [misc]taylor: Taking taylor expansion of k in k 1540201898.085 * [misc]backup-simplify: Simplify 0 into 0 1540201898.085 * [misc]backup-simplify: Simplify 1 into 1 1540201898.085 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.085 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540201898.085 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540201898.085 * [misc]taylor: Taking taylor expansion of 2 in k 1540201898.085 * [misc]backup-simplify: Simplify 2 into 2 1540201898.085 * [misc]taylor: Taking taylor expansion of n in k 1540201898.085 * [misc]backup-simplify: Simplify n into n 1540201898.085 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540201898.085 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540201898.086 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.086 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201898.086 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201898.086 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540201898.086 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.086 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201898.086 * [misc]taylor: Taking taylor expansion of k in k 1540201898.086 * [misc]backup-simplify: Simplify 0 into 0 1540201898.086 * [misc]backup-simplify: Simplify 1 into 1 1540201898.086 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201898.087 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201898.087 * [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))))) 1540201898.088 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540201898.088 * [misc]taylor: Taking taylor expansion of 0 in n 1540201898.088 * [misc]backup-simplify: Simplify 0 into 0 1540201898.088 * [misc]backup-simplify: Simplify 0 into 0 1540201898.088 * [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 1540201898.088 * [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))))))) 1540201898.088 * [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 1540201898.089 * [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 1540201898.089 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201898.089 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201898.089 * [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 1540201898.089 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.089 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201898.089 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201898.089 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.089 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.089 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.089 * [misc]taylor: Taking taylor expansion of k in n 1540201898.089 * [misc]backup-simplify: Simplify k into k 1540201898.089 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.089 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201898.089 * [misc]taylor: Taking taylor expansion of PI in n 1540201898.089 * [misc]backup-simplify: Simplify PI into PI 1540201898.089 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.089 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.090 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.090 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.090 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201898.090 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.090 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.090 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201898.090 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201898.090 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.091 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.091 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.091 * [misc]taylor: Taking taylor expansion of k in n 1540201898.091 * [misc]backup-simplify: Simplify k into k 1540201898.091 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.091 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201898.091 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201898.091 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.091 * [misc]backup-simplify: Simplify 2 into 2 1540201898.091 * [misc]taylor: Taking taylor expansion of n in n 1540201898.091 * [misc]backup-simplify: Simplify 0 into 0 1540201898.091 * [misc]backup-simplify: Simplify 1 into 1 1540201898.091 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201898.091 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.091 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.091 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.092 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.092 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.092 * [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))) 1540201898.093 * [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)))) 1540201898.093 * [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))))) 1540201898.093 * [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)))))) 1540201898.094 * [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))))))) 1540201898.094 * [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))))))) 1540201898.095 * [misc]backup-simplify: Simplify 0 into 0 1540201898.096 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201898.096 * [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 1540201898.097 * [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))))))) 1540201898.097 * [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 1540201898.097 * [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 1540201898.097 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201898.097 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201898.097 * [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 1540201898.097 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.097 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201898.097 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201898.097 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.097 * [misc]taylor: Taking taylor expansion of k in n 1540201898.097 * [misc]backup-simplify: Simplify k into k 1540201898.098 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.098 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201898.098 * [misc]taylor: Taking taylor expansion of PI in n 1540201898.098 * [misc]backup-simplify: Simplify PI into PI 1540201898.098 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.098 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.098 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.098 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.099 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201898.099 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.099 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.099 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201898.099 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201898.099 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.099 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.099 * [misc]taylor: Taking taylor expansion of k in n 1540201898.099 * [misc]backup-simplify: Simplify k into k 1540201898.099 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.099 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201898.100 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201898.100 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.100 * [misc]backup-simplify: Simplify 2 into 2 1540201898.100 * [misc]taylor: Taking taylor expansion of n in n 1540201898.100 * [misc]backup-simplify: Simplify 0 into 0 1540201898.100 * [misc]backup-simplify: Simplify 1 into 1 1540201898.100 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201898.100 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.100 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.100 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.100 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.101 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.101 * [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))) 1540201898.101 * [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)))) 1540201898.102 * [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))))) 1540201898.102 * [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)))))) 1540201898.103 * [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))))))) 1540201898.103 * [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))))))) 1540201898.104 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540201898.106 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201898.107 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201898.107 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201898.107 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.107 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.107 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.108 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540201898.109 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201898.112 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201898.112 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201898.112 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201898.112 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.112 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.113 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540201898.114 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201898.115 * [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 1540201898.115 * [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 1540201898.115 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.115 * [misc]backup-simplify: Simplify 0 into 0 1540201898.116 * [misc]backup-simplify: Simplify 0 into 0 1540201898.117 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201898.117 * [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 1540201898.118 * [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))))))) 1540201898.118 * [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 1540201898.118 * [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 1540201898.118 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201898.118 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201898.118 * [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 1540201898.118 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.118 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201898.118 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201898.118 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.119 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.119 * [misc]taylor: Taking taylor expansion of k in n 1540201898.119 * [misc]backup-simplify: Simplify k into k 1540201898.119 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.119 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201898.119 * [misc]taylor: Taking taylor expansion of PI in n 1540201898.119 * [misc]backup-simplify: Simplify PI into PI 1540201898.119 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.119 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.119 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.119 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.120 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201898.120 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.120 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.120 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201898.120 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201898.120 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.120 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.120 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.120 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.120 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.120 * [misc]taylor: Taking taylor expansion of k in n 1540201898.120 * [misc]backup-simplify: Simplify k into k 1540201898.120 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.121 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201898.121 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201898.121 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.121 * [misc]backup-simplify: Simplify 2 into 2 1540201898.121 * [misc]taylor: Taking taylor expansion of n in n 1540201898.121 * [misc]backup-simplify: Simplify 0 into 0 1540201898.121 * [misc]backup-simplify: Simplify 1 into 1 1540201898.121 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201898.121 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.121 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.121 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.121 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.122 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.122 * [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))) 1540201898.122 * [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)))) 1540201898.123 * [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))))) 1540201898.123 * [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)))))) 1540201898.124 * [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))))))) 1540201898.124 * [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))))))) 1540201898.127 * [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)))))))) 1540201898.127 * [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))) 1540201898.127 * [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 1540201898.128 * [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 1540201898.128 * [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 1540201898.128 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.128 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201898.128 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201898.128 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.128 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.128 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.128 * [misc]taylor: Taking taylor expansion of k in n 1540201898.128 * [misc]backup-simplify: Simplify k into k 1540201898.128 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.128 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201898.128 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201898.128 * [misc]taylor: Taking taylor expansion of -2 in n 1540201898.128 * [misc]backup-simplify: Simplify -2 into -2 1540201898.128 * [misc]taylor: Taking taylor expansion of n in n 1540201898.128 * [misc]backup-simplify: Simplify 0 into 0 1540201898.128 * [misc]backup-simplify: Simplify 1 into 1 1540201898.128 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201898.129 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201898.129 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.129 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.129 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.129 * [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))) 1540201898.130 * [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)))) 1540201898.130 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.130 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201898.130 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201898.130 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.130 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.130 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.130 * [misc]taylor: Taking taylor expansion of k in n 1540201898.130 * [misc]backup-simplify: Simplify k into k 1540201898.130 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.130 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201898.130 * [misc]taylor: Taking taylor expansion of PI in n 1540201898.130 * [misc]backup-simplify: Simplify PI into PI 1540201898.131 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.131 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.131 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.131 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201898.132 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.132 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540201898.132 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540201898.132 * [misc]taylor: Taking taylor expansion of -1 in n 1540201898.132 * [misc]backup-simplify: Simplify -1 into -1 1540201898.132 * [misc]taylor: Taking taylor expansion of k in n 1540201898.132 * [misc]backup-simplify: Simplify k into k 1540201898.132 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540201898.132 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540201898.132 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540201898.132 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540201898.133 * [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))) 1540201898.133 * [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))) 1540201898.133 * [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 1540201898.133 * [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 1540201898.133 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201898.133 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540201898.133 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540201898.134 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201898.134 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.134 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.134 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.134 * [misc]taylor: Taking taylor expansion of k in k 1540201898.134 * [misc]backup-simplify: Simplify 0 into 0 1540201898.134 * [misc]backup-simplify: Simplify 1 into 1 1540201898.134 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.134 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.134 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540201898.134 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540201898.134 * [misc]taylor: Taking taylor expansion of -2 in k 1540201898.134 * [misc]backup-simplify: Simplify -2 into -2 1540201898.134 * [misc]taylor: Taking taylor expansion of n in k 1540201898.134 * [misc]backup-simplify: Simplify n into n 1540201898.134 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540201898.134 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540201898.134 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.135 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201898.135 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540201898.135 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.135 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201898.135 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201898.135 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201898.135 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201898.135 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.135 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.135 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.135 * [misc]taylor: Taking taylor expansion of k in k 1540201898.135 * [misc]backup-simplify: Simplify 0 into 0 1540201898.135 * [misc]backup-simplify: Simplify 1 into 1 1540201898.135 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.136 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201898.136 * [misc]taylor: Taking taylor expansion of PI in k 1540201898.136 * [misc]backup-simplify: Simplify PI into PI 1540201898.136 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.136 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.136 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201898.137 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201898.137 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.137 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201898.137 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201898.137 * [misc]taylor: Taking taylor expansion of -1 in k 1540201898.137 * [misc]backup-simplify: Simplify -1 into -1 1540201898.137 * [misc]taylor: Taking taylor expansion of k in k 1540201898.137 * [misc]backup-simplify: Simplify 0 into 0 1540201898.137 * [misc]backup-simplify: Simplify 1 into 1 1540201898.137 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201898.138 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201898.138 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201898.138 * [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))) 1540201898.139 * [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)))) 1540201898.139 * [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 1540201898.139 * [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 1540201898.139 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201898.139 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540201898.139 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540201898.139 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201898.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.139 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.139 * [misc]taylor: Taking taylor expansion of k in k 1540201898.139 * [misc]backup-simplify: Simplify 0 into 0 1540201898.139 * [misc]backup-simplify: Simplify 1 into 1 1540201898.139 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.139 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540201898.139 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540201898.139 * [misc]taylor: Taking taylor expansion of -2 in k 1540201898.139 * [misc]backup-simplify: Simplify -2 into -2 1540201898.139 * [misc]taylor: Taking taylor expansion of n in k 1540201898.139 * [misc]backup-simplify: Simplify n into n 1540201898.139 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540201898.139 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540201898.140 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.140 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201898.140 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540201898.140 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.140 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201898.140 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201898.140 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201898.140 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201898.140 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.140 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.140 * [misc]taylor: Taking taylor expansion of k in k 1540201898.140 * [misc]backup-simplify: Simplify 0 into 0 1540201898.140 * [misc]backup-simplify: Simplify 1 into 1 1540201898.140 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.141 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201898.141 * [misc]taylor: Taking taylor expansion of PI in k 1540201898.141 * [misc]backup-simplify: Simplify PI into PI 1540201898.141 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.141 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.141 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201898.142 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201898.142 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.142 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201898.142 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201898.142 * [misc]taylor: Taking taylor expansion of -1 in k 1540201898.142 * [misc]backup-simplify: Simplify -1 into -1 1540201898.142 * [misc]taylor: Taking taylor expansion of k in k 1540201898.142 * [misc]backup-simplify: Simplify 0 into 0 1540201898.142 * [misc]backup-simplify: Simplify 1 into 1 1540201898.142 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201898.142 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201898.143 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201898.143 * [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))) 1540201898.143 * [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)))) 1540201898.144 * [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 1540201898.144 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201898.144 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201898.144 * [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 1540201898.144 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.144 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201898.144 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201898.144 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.144 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.144 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.144 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.144 * [misc]taylor: Taking taylor expansion of k in n 1540201898.144 * [misc]backup-simplify: Simplify k into k 1540201898.144 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.144 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.144 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201898.144 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201898.144 * [misc]taylor: Taking taylor expansion of -2 in n 1540201898.144 * [misc]backup-simplify: Simplify -2 into -2 1540201898.144 * [misc]taylor: Taking taylor expansion of n in n 1540201898.144 * [misc]backup-simplify: Simplify 0 into 0 1540201898.144 * [misc]backup-simplify: Simplify 1 into 1 1540201898.144 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201898.145 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201898.145 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.145 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.145 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.145 * [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))) 1540201898.146 * [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)))) 1540201898.146 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.146 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201898.146 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201898.146 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.146 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.146 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.146 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.146 * [misc]taylor: Taking taylor expansion of k in n 1540201898.146 * [misc]backup-simplify: Simplify k into k 1540201898.146 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.146 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.146 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201898.146 * [misc]taylor: Taking taylor expansion of PI in n 1540201898.146 * [misc]backup-simplify: Simplify PI into PI 1540201898.147 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.147 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.147 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.147 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201898.147 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.148 * [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))) 1540201898.148 * [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)))) 1540201898.149 * [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)))) 1540201898.149 * [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 1540201898.149 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201898.150 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201898.151 * [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))))) 1540201898.151 * [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 1540201898.152 * [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 1540201898.152 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201898.152 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201898.152 * [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 1540201898.152 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.152 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201898.152 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201898.152 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.152 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.152 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.152 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.152 * [misc]taylor: Taking taylor expansion of k in n 1540201898.152 * [misc]backup-simplify: Simplify k into k 1540201898.152 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.152 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.152 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201898.152 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201898.152 * [misc]taylor: Taking taylor expansion of -2 in n 1540201898.152 * [misc]backup-simplify: Simplify -2 into -2 1540201898.152 * [misc]taylor: Taking taylor expansion of n in n 1540201898.152 * [misc]backup-simplify: Simplify 0 into 0 1540201898.152 * [misc]backup-simplify: Simplify 1 into 1 1540201898.152 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201898.153 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201898.153 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.153 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.153 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.153 * [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))) 1540201898.154 * [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)))) 1540201898.154 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.154 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201898.154 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201898.154 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.154 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.154 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.154 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.154 * [misc]taylor: Taking taylor expansion of k in n 1540201898.154 * [misc]backup-simplify: Simplify k into k 1540201898.154 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.154 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.154 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201898.154 * [misc]taylor: Taking taylor expansion of PI in n 1540201898.154 * [misc]backup-simplify: Simplify PI into PI 1540201898.155 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.155 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.155 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.155 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201898.156 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.156 * [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))) 1540201898.156 * [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)))) 1540201898.157 * [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))))) 1540201898.157 * [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))))) 1540201898.160 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201898.160 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201898.160 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201898.161 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.161 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1540201898.162 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201898.163 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540201898.165 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540201898.165 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201898.165 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201898.165 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.166 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.166 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540201898.167 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201898.168 * [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 1540201898.168 * [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 1540201898.169 * [misc]backup-simplify: Simplify 0 into 0 1540201898.169 * [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 1540201898.169 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201898.170 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201898.172 * [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))))) 1540201898.172 * [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 1540201898.172 * [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 1540201898.172 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201898.172 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201898.172 * [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 1540201898.172 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.172 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201898.172 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201898.172 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.172 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.172 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.172 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.172 * [misc]taylor: Taking taylor expansion of k in n 1540201898.172 * [misc]backup-simplify: Simplify k into k 1540201898.172 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.172 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.172 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201898.172 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201898.172 * [misc]taylor: Taking taylor expansion of -2 in n 1540201898.173 * [misc]backup-simplify: Simplify -2 into -2 1540201898.173 * [misc]taylor: Taking taylor expansion of n in n 1540201898.173 * [misc]backup-simplify: Simplify 0 into 0 1540201898.173 * [misc]backup-simplify: Simplify 1 into 1 1540201898.173 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201898.173 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201898.173 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.173 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.173 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.174 * [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))) 1540201898.174 * [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)))) 1540201898.174 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.174 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201898.174 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201898.174 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.174 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.174 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.174 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.174 * [misc]taylor: Taking taylor expansion of k in n 1540201898.174 * [misc]backup-simplify: Simplify k into k 1540201898.174 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.174 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.175 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201898.175 * [misc]taylor: Taking taylor expansion of PI in n 1540201898.175 * [misc]backup-simplify: Simplify PI into PI 1540201898.175 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201898.175 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.175 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.175 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201898.176 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.176 * [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))) 1540201898.177 * [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)))) 1540201898.177 * [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))))) 1540201898.178 * [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))))) 1540201898.180 * [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)))))))) 1540201898.180 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1540201898.180 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1540201898.180 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1540201898.180 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540201898.180 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540201898.180 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540201898.180 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201898.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.181 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201898.181 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.181 * [misc]taylor: Taking taylor expansion of k in k 1540201898.181 * [misc]backup-simplify: Simplify 0 into 0 1540201898.181 * [misc]backup-simplify: Simplify 1 into 1 1540201898.181 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540201898.181 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540201898.181 * [misc]taylor: Taking taylor expansion of 2 in k 1540201898.181 * [misc]backup-simplify: Simplify 2 into 2 1540201898.181 * [misc]taylor: Taking taylor expansion of n in k 1540201898.181 * [misc]backup-simplify: Simplify n into n 1540201898.181 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540201898.181 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540201898.181 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201898.181 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.181 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201898.182 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540201898.182 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540201898.182 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540201898.182 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540201898.182 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540201898.182 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201898.182 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.182 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201898.182 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.182 * [misc]taylor: Taking taylor expansion of k in n 1540201898.182 * [misc]backup-simplify: Simplify k into k 1540201898.182 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540201898.182 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540201898.182 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.182 * [misc]backup-simplify: Simplify 2 into 2 1540201898.182 * [misc]taylor: Taking taylor expansion of n in n 1540201898.182 * [misc]backup-simplify: Simplify 0 into 0 1540201898.182 * [misc]backup-simplify: Simplify 1 into 1 1540201898.182 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201898.183 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540201898.183 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.183 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201898.183 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201898.183 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201898.183 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201898.184 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540201898.184 * [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)))) 1540201898.184 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540201898.184 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540201898.184 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540201898.184 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201898.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.184 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201898.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.184 * [misc]taylor: Taking taylor expansion of k in n 1540201898.184 * [misc]backup-simplify: Simplify k into k 1540201898.184 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540201898.184 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540201898.184 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.184 * [misc]backup-simplify: Simplify 2 into 2 1540201898.184 * [misc]taylor: Taking taylor expansion of n in n 1540201898.184 * [misc]backup-simplify: Simplify 0 into 0 1540201898.184 * [misc]backup-simplify: Simplify 1 into 1 1540201898.185 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540201898.185 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540201898.185 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.185 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201898.185 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201898.185 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201898.186 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201898.186 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540201898.186 * [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)))) 1540201898.186 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1540201898.186 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1540201898.186 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1540201898.186 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201898.186 * [misc]taylor: Taking taylor expansion of 2 in k 1540201898.186 * [misc]backup-simplify: Simplify 2 into 2 1540201898.187 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.187 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201898.187 * [misc]taylor: Taking taylor expansion of n in k 1540201898.187 * [misc]backup-simplify: Simplify n into n 1540201898.187 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201898.187 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201898.187 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.187 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201898.187 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.187 * [misc]taylor: Taking taylor expansion of k in k 1540201898.187 * [misc]backup-simplify: Simplify 0 into 0 1540201898.187 * [misc]backup-simplify: Simplify 1 into 1 1540201898.187 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1540201898.187 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201898.187 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.188 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201898.188 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1540201898.188 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540201898.188 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540201898.189 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540201898.191 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201898.191 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540201898.191 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.192 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.192 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201898.192 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1540201898.193 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201898.193 * [misc]taylor: Taking taylor expansion of 0 in k 1540201898.194 * [misc]backup-simplify: Simplify 0 into 0 1540201898.194 * [misc]backup-simplify: Simplify 0 into 0 1540201898.194 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201898.194 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201898.194 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201898.197 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201898.197 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540201898.198 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.198 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1540201898.199 * [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))))) 1540201898.199 * [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))))) 1540201898.200 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201898.206 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201898.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540201898.206 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.207 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540201898.207 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1540201898.209 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201898.209 * [misc]taylor: Taking taylor expansion of 0 in k 1540201898.209 * [misc]backup-simplify: Simplify 0 into 0 1540201898.209 * [misc]backup-simplify: Simplify 0 into 0 1540201898.209 * [misc]backup-simplify: Simplify 0 into 0 1540201898.210 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201898.210 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.210 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.214 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201898.216 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540201898.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.216 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1540201898.218 * [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))))) 1540201898.219 * [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))))) 1540201898.221 * [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))))) 1540201898.222 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.222 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540201898.222 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201898.222 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540201898.222 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540201898.222 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201898.222 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.222 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.222 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.222 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.222 * [misc]taylor: Taking taylor expansion of k in k 1540201898.222 * [misc]backup-simplify: Simplify 0 into 0 1540201898.222 * [misc]backup-simplify: Simplify 1 into 1 1540201898.222 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.222 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540201898.222 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540201898.223 * [misc]taylor: Taking taylor expansion of 2 in k 1540201898.223 * [misc]backup-simplify: Simplify 2 into 2 1540201898.223 * [misc]taylor: Taking taylor expansion of n in k 1540201898.223 * [misc]backup-simplify: Simplify n into n 1540201898.223 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540201898.223 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540201898.223 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.223 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201898.223 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201898.223 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540201898.223 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201898.223 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.224 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201898.224 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201898.224 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.224 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.224 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.224 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.224 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.224 * [misc]taylor: Taking taylor expansion of k in n 1540201898.224 * [misc]backup-simplify: Simplify k into k 1540201898.224 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.224 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201898.224 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201898.224 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.224 * [misc]backup-simplify: Simplify 2 into 2 1540201898.224 * [misc]taylor: Taking taylor expansion of n in n 1540201898.224 * [misc]backup-simplify: Simplify 0 into 0 1540201898.224 * [misc]backup-simplify: Simplify 1 into 1 1540201898.224 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201898.224 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.224 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.224 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.225 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.225 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.225 * [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))) 1540201898.226 * [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)))) 1540201898.226 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201898.226 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540201898.226 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540201898.226 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201898.226 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.226 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.226 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.226 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.226 * [misc]taylor: Taking taylor expansion of k in n 1540201898.226 * [misc]backup-simplify: Simplify k into k 1540201898.226 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.226 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540201898.226 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540201898.226 * [misc]taylor: Taking taylor expansion of 2 in n 1540201898.226 * [misc]backup-simplify: Simplify 2 into 2 1540201898.226 * [misc]taylor: Taking taylor expansion of n in n 1540201898.226 * [misc]backup-simplify: Simplify 0 into 0 1540201898.226 * [misc]backup-simplify: Simplify 1 into 1 1540201898.226 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540201898.226 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.227 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.227 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201898.227 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201898.227 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.227 * [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))) 1540201898.228 * [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)))) 1540201898.228 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1540201898.228 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1540201898.228 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201898.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.228 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.228 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.228 * [misc]taylor: Taking taylor expansion of k in k 1540201898.228 * [misc]backup-simplify: Simplify 0 into 0 1540201898.228 * [misc]backup-simplify: Simplify 1 into 1 1540201898.228 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.228 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1540201898.228 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201898.228 * [misc]taylor: Taking taylor expansion of 2 in k 1540201898.228 * [misc]backup-simplify: Simplify 2 into 2 1540201898.229 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201898.229 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201898.229 * [misc]taylor: Taking taylor expansion of n in k 1540201898.229 * [misc]backup-simplify: Simplify n into n 1540201898.229 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201898.229 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.229 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201898.229 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201898.229 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540201898.229 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1540201898.230 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1540201898.230 * [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)))) 1540201898.230 * [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)))) 1540201898.230 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540201898.233 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201898.233 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201898.233 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201898.233 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.234 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.234 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.234 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540201898.235 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201898.235 * [misc]taylor: Taking taylor expansion of 0 in k 1540201898.236 * [misc]backup-simplify: Simplify 0 into 0 1540201898.236 * [misc]backup-simplify: Simplify 0 into 0 1540201898.236 * [misc]backup-simplify: Simplify 0 into 0 1540201898.236 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201898.240 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201898.240 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201898.240 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201898.240 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.241 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.241 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1540201898.243 * [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 1540201898.243 * [misc]taylor: Taking taylor expansion of 0 in k 1540201898.243 * [misc]backup-simplify: Simplify 0 into 0 1540201898.243 * [misc]backup-simplify: Simplify 0 into 0 1540201898.243 * [misc]backup-simplify: Simplify 0 into 0 1540201898.243 * [misc]backup-simplify: Simplify 0 into 0 1540201898.244 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201898.250 * [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 1540201898.251 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201898.251 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201898.251 * [misc]backup-simplify: Simplify (- 0) into 0 1540201898.251 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.252 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540201898.252 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1540201898.256 * [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 1540201898.256 * [misc]taylor: Taking taylor expansion of 0 in k 1540201898.256 * [misc]backup-simplify: Simplify 0 into 0 1540201898.256 * [misc]backup-simplify: Simplify 0 into 0 1540201898.256 * [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)))) 1540201898.256 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.256 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540201898.256 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201898.256 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540201898.256 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540201898.256 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201898.256 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.256 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.257 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.257 * [misc]taylor: Taking taylor expansion of k in k 1540201898.257 * [misc]backup-simplify: Simplify 0 into 0 1540201898.257 * [misc]backup-simplify: Simplify 1 into 1 1540201898.257 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.257 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.257 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540201898.257 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540201898.257 * [misc]taylor: Taking taylor expansion of -2 in k 1540201898.257 * [misc]backup-simplify: Simplify -2 into -2 1540201898.257 * [misc]taylor: Taking taylor expansion of n in k 1540201898.257 * [misc]backup-simplify: Simplify n into n 1540201898.257 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540201898.257 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540201898.258 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.258 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201898.258 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540201898.258 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201898.258 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.258 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201898.258 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201898.258 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.258 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.258 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.258 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.258 * [misc]taylor: Taking taylor expansion of k in n 1540201898.258 * [misc]backup-simplify: Simplify k into k 1540201898.258 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.258 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.258 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201898.258 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201898.258 * [misc]taylor: Taking taylor expansion of -2 in n 1540201898.258 * [misc]backup-simplify: Simplify -2 into -2 1540201898.259 * [misc]taylor: Taking taylor expansion of n in n 1540201898.259 * [misc]backup-simplify: Simplify 0 into 0 1540201898.259 * [misc]backup-simplify: Simplify 1 into 1 1540201898.259 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201898.259 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201898.259 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.259 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.259 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.260 * [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))) 1540201898.260 * [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)))) 1540201898.260 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201898.260 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540201898.260 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540201898.260 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201898.260 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201898.260 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.260 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.260 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201898.260 * [misc]taylor: Taking taylor expansion of k in n 1540201898.260 * [misc]backup-simplify: Simplify k into k 1540201898.260 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201898.260 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201898.260 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.260 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540201898.261 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540201898.261 * [misc]taylor: Taking taylor expansion of -2 in n 1540201898.261 * [misc]backup-simplify: Simplify -2 into -2 1540201898.261 * [misc]taylor: Taking taylor expansion of n in n 1540201898.261 * [misc]backup-simplify: Simplify 0 into 0 1540201898.261 * [misc]backup-simplify: Simplify 1 into 1 1540201898.261 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540201898.261 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201898.261 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201898.261 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201898.261 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.262 * [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))) 1540201898.262 * [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)))) 1540201898.262 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1540201898.262 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1540201898.262 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201898.262 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201898.262 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.262 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201898.262 * [misc]taylor: Taking taylor expansion of k in k 1540201898.262 * [misc]backup-simplify: Simplify 0 into 0 1540201898.262 * [misc]backup-simplify: Simplify 1 into 1 1540201898.263 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201898.263 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201898.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201898.263 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1540201898.263 * [misc]taylor: Taking taylor expansion of (log -2) in k 1540201898.263 * [misc]taylor: Taking taylor expansion of -2 in k 1540201898.263 * [misc]backup-simplify: Simplify -2 into -2 1540201898.263 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540201898.263 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201898.263 * [misc]taylor: Taking taylor expansion of n in k 1540201898.263 * [misc]backup-simplify: Simplify n into n 1540201898.263 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201898.263 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201898.263 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201898.263 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540201898.264 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1540201898.264 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1540201898.264 * [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)))) 1540201898.264 * [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)))) 1540201898.265 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540201898.267 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540201898.267 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201898.268 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201898.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.268 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.268 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540201898.270 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201898.270 * [misc]taylor: Taking taylor expansion of 0 in k 1540201898.270 * [misc]backup-simplify: Simplify 0 into 0 1540201898.270 * [misc]backup-simplify: Simplify 0 into 0 1540201898.270 * [misc]backup-simplify: Simplify 0 into 0 1540201898.270 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201898.274 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1540201898.275 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201898.275 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201898.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.276 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.276 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1540201898.278 * [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 1540201898.278 * [misc]taylor: Taking taylor expansion of 0 in k 1540201898.278 * [misc]backup-simplify: Simplify 0 into 0 1540201898.278 * [misc]backup-simplify: Simplify 0 into 0 1540201898.278 * [misc]backup-simplify: Simplify 0 into 0 1540201898.278 * [misc]backup-simplify: Simplify 0 into 0 1540201898.279 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201898.286 * [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 1540201898.286 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201898.287 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201898.287 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201898.287 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540201898.288 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1540201898.291 * [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 1540201898.291 * [misc]taylor: Taking taylor expansion of 0 in k 1540201898.291 * [misc]backup-simplify: Simplify 0 into 0 1540201898.291 * [misc]backup-simplify: Simplify 0 into 0 1540201898.292 * [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))))) 1540201898.292 * * * [misc]progress: simplifying candidates 1540201898.292 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1540201898.292 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1540201898.292 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1540201898.292 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1540201898.292 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540201898.293 * * [misc]simplify: iters left: 3 (5 enodes) 1540201898.294 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540201898.294 * [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)))))) 1540201898.294 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1540201898.294 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540201898.294 * * [misc]simplify: iters left: 5 (6 enodes) 1540201898.296 * * [misc]simplify: iters left: 4 (8 enodes) 1540201898.299 * * [misc]simplify: iters left: 3 (11 enodes) 1540201898.302 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540201898.302 * [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)))))) 1540201898.302 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1540201898.302 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540201898.302 * * [misc]simplify: iters left: 5 (6 enodes) 1540201898.304 * * [misc]simplify: iters left: 4 (8 enodes) 1540201898.306 * * [misc]simplify: iters left: 3 (11 enodes) 1540201898.309 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540201898.309 * [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)))))) 1540201898.309 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1540201898.309 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540201898.310 * * [misc]simplify: iters left: 4 (5 enodes) 1540201898.311 * * [misc]simplify: iters left: 3 (7 enodes) 1540201898.313 * * [misc]simplify: iters left: 2 (10 enodes) 1540201898.316 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540201898.316 * [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)))))) 1540201898.316 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1540201898.316 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540201898.317 * * [misc]simplify: iters left: 5 (6 enodes) 1540201898.318 * * [misc]simplify: iters left: 4 (8 enodes) 1540201898.321 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540201898.321 * [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)))))) 1540201898.321 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1540201898.321 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540201898.321 * * [misc]simplify: iters left: 5 (6 enodes) 1540201898.323 * * [misc]simplify: iters left: 4 (8 enodes) 1540201898.325 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540201898.325 * [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)))))) 1540201898.325 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1540201898.325 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1540201898.325 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1540201898.325 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1540201898.325 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1540201898.325 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1540201898.326 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1540201898.326 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1540201898.326 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1540201898.326 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1540201898.326 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1540201898.326 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540201898.326 * * [misc]simplify: iters left: 6 (12 enodes) 1540201898.331 * * [misc]simplify: iters left: 5 (21 enodes) 1540201898.338 * * [misc]simplify: iters left: 4 (44 enodes) 1540201898.356 * * [misc]simplify: iters left: 3 (133 enodes) 1540201898.424 * * [misc]simplify: iters left: 2 (379 enodes) 1540201898.624 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1540201898.624 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1540201898.625 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1540201898.625 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540201898.625 * * [misc]simplify: iters left: 6 (12 enodes) 1540201898.630 * * [misc]simplify: iters left: 5 (21 enodes) 1540201898.637 * * [misc]simplify: iters left: 4 (44 enodes) 1540201898.656 * * [misc]simplify: iters left: 3 (133 enodes) 1540201898.694 * * [misc]simplify: iters left: 2 (379 enodes) 1540201898.857 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1540201898.857 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1540201898.857 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1540201898.857 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1540201898.858 * * [misc]simplify: iters left: 6 (12 enodes) 1540201898.861 * * [misc]simplify: iters left: 5 (19 enodes) 1540201898.867 * * [misc]simplify: iters left: 4 (32 enodes) 1540201898.878 * * [misc]simplify: iters left: 3 (69 enodes) 1540201898.911 * * [misc]simplify: iters left: 2 (208 enodes) 1540201898.993 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1540201898.993 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1540201898.993 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1540201898.993 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1540201898.993 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1540201898.994 * [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))))) 1540201898.994 * * [misc]simplify: iters left: 6 (14 enodes) 1540201898.996 * * [misc]simplify: iters left: 5 (26 enodes) 1540201899.000 * * [misc]simplify: iters left: 4 (58 enodes) 1540201899.010 * * [misc]simplify: iters left: 3 (117 enodes) 1540201899.031 * * [misc]simplify: iters left: 2 (193 enodes) 1540201899.077 * * [misc]simplify: iters left: 1 (263 enodes) 1540201899.172 * [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))))) 1540201899.173 * [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)))))))) 1540201899.173 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1540201899.173 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1540201899.173 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1540201899.173 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1540201899.173 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1540201899.173 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1540201899.173 * * [misc]simplify: iters left: 6 (10 enodes) 1540201899.175 * * [misc]simplify: iters left: 5 (14 enodes) 1540201899.176 * * [misc]simplify: iters left: 4 (16 enodes) 1540201899.178 * * [misc]simplify: iters left: 3 (17 enodes) 1540201899.181 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1540201899.181 * [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))))))) 1540201899.181 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540201899.181 * * [misc]simplify: iters left: 6 (10 enodes) 1540201899.182 * * [misc]simplify: iters left: 5 (13 enodes) 1540201899.184 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201899.184 * [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)))))) 1540201899.184 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1540201899.184 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1540201899.184 * * [misc]simplify: iters left: 6 (10 enodes) 1540201899.186 * * [misc]simplify: iters left: 5 (14 enodes) 1540201899.187 * * [misc]simplify: iters left: 4 (16 enodes) 1540201899.189 * * [misc]simplify: iters left: 3 (17 enodes) 1540201899.192 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1540201899.192 * [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))))))) 1540201899.192 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540201899.192 * * [misc]simplify: iters left: 6 (10 enodes) 1540201899.193 * * [misc]simplify: iters left: 5 (13 enodes) 1540201899.195 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201899.195 * [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)))))) 1540201899.195 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1540201899.195 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201899.195 * * [misc]simplify: iters left: 6 (11 enodes) 1540201899.198 * * [misc]simplify: iters left: 5 (15 enodes) 1540201899.200 * * [misc]simplify: iters left: 4 (20 enodes) 1540201899.202 * * [misc]simplify: iters left: 3 (21 enodes) 1540201899.207 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201899.207 * [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))))))) 1540201899.207 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201899.207 * * [misc]simplify: iters left: 6 (9 enodes) 1540201899.210 * * [misc]simplify: iters left: 5 (11 enodes) 1540201899.212 * * [misc]simplify: iters left: 4 (14 enodes) 1540201899.214 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201899.214 * [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))))))) 1540201899.214 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1540201899.214 * [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)))))) 1540201899.214 * * [misc]simplify: iters left: 6 (14 enodes) 1540201899.216 * * [misc]simplify: iters left: 5 (23 enodes) 1540201899.220 * * [misc]simplify: iters left: 4 (35 enodes) 1540201899.224 * * [misc]simplify: iters left: 3 (38 enodes) 1540201899.229 * * [misc]simplify: iters left: 2 (41 enodes) 1540201899.235 * [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)))))) 1540201899.235 * [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)))))))) 1540201899.235 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.235 * * [misc]simplify: iters left: 6 (12 enodes) 1540201899.237 * * [misc]simplify: iters left: 5 (15 enodes) 1540201899.238 * * [misc]simplify: iters left: 4 (18 enodes) 1540201899.242 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.243 * [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)))))))) 1540201899.243 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1540201899.243 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.243 * * [misc]simplify: iters left: 6 (13 enodes) 1540201899.247 * * [misc]simplify: iters left: 5 (18 enodes) 1540201899.252 * * [misc]simplify: iters left: 4 (23 enodes) 1540201899.258 * * [misc]simplify: iters left: 3 (24 enodes) 1540201899.264 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.264 * [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)))))))) 1540201899.264 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.264 * * [misc]simplify: iters left: 6 (12 enodes) 1540201899.266 * * [misc]simplify: iters left: 5 (15 enodes) 1540201899.268 * * [misc]simplify: iters left: 4 (18 enodes) 1540201899.270 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.270 * [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)))))))) 1540201899.270 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1540201899.271 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540201899.271 * * [misc]simplify: iters left: 6 (6 enodes) 1540201899.271 * * [misc]simplify: iters left: 5 (10 enodes) 1540201899.273 * * [misc]simplify: iters left: 4 (16 enodes) 1540201899.275 * * [misc]simplify: iters left: 3 (18 enodes) 1540201899.277 * * [misc]simplify: iters left: 2 (23 enodes) 1540201899.279 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540201899.280 * [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))))))) 1540201899.280 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.280 * * [misc]simplify: iters left: 6 (11 enodes) 1540201899.281 * * [misc]simplify: iters left: 5 (14 enodes) 1540201899.283 * * [misc]simplify: iters left: 4 (17 enodes) 1540201899.286 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.286 * [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))))))) 1540201899.286 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1540201899.286 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1540201899.286 * * [misc]simplify: iters left: 5 (9 enodes) 1540201899.288 * * [misc]simplify: iters left: 4 (11 enodes) 1540201899.291 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1540201899.291 * [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))))))) 1540201899.291 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540201899.291 * * [misc]simplify: iters left: 6 (10 enodes) 1540201899.294 * * [misc]simplify: iters left: 5 (13 enodes) 1540201899.298 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201899.298 * [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)))))) 1540201899.298 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1540201899.298 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1540201899.298 * * [misc]simplify: iters left: 5 (9 enodes) 1540201899.301 * * [misc]simplify: iters left: 4 (11 enodes) 1540201899.304 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1540201899.304 * [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))))))) 1540201899.304 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540201899.304 * * [misc]simplify: iters left: 6 (10 enodes) 1540201899.307 * * [misc]simplify: iters left: 5 (13 enodes) 1540201899.310 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201899.310 * [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)))))) 1540201899.310 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1540201899.311 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540201899.311 * * [misc]simplify: iters left: 6 (10 enodes) 1540201899.314 * * [misc]simplify: iters left: 5 (12 enodes) 1540201899.317 * * [misc]simplify: iters left: 4 (15 enodes) 1540201899.321 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540201899.321 * [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))))))) 1540201899.321 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201899.321 * * [misc]simplify: iters left: 6 (9 enodes) 1540201899.324 * * [misc]simplify: iters left: 5 (11 enodes) 1540201899.327 * * [misc]simplify: iters left: 4 (14 enodes) 1540201899.330 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201899.331 * [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))))))) 1540201899.331 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1540201899.331 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201899.331 * * [misc]simplify: iters left: 6 (13 enodes) 1540201899.335 * * [misc]simplify: iters left: 5 (18 enodes) 1540201899.337 * * [misc]simplify: iters left: 4 (21 enodes) 1540201899.340 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201899.340 * [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)))))))) 1540201899.340 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.340 * * [misc]simplify: iters left: 6 (12 enodes) 1540201899.342 * * [misc]simplify: iters left: 5 (15 enodes) 1540201899.344 * * [misc]simplify: iters left: 4 (18 enodes) 1540201899.346 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.346 * [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)))))))) 1540201899.346 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1540201899.346 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.346 * * [misc]simplify: iters left: 6 (12 enodes) 1540201899.348 * * [misc]simplify: iters left: 5 (15 enodes) 1540201899.350 * * [misc]simplify: iters left: 4 (18 enodes) 1540201899.352 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.352 * [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)))))))) 1540201899.352 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.352 * * [misc]simplify: iters left: 6 (12 enodes) 1540201899.354 * * [misc]simplify: iters left: 5 (15 enodes) 1540201899.356 * * [misc]simplify: iters left: 4 (18 enodes) 1540201899.358 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.358 * [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)))))))) 1540201899.358 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1540201899.358 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540201899.359 * * [misc]simplify: iters left: 4 (5 enodes) 1540201899.359 * * [misc]simplify: iters left: 3 (7 enodes) 1540201899.362 * * [misc]simplify: iters left: 2 (9 enodes) 1540201899.363 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540201899.363 * [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))))))) 1540201899.363 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.364 * * [misc]simplify: iters left: 6 (11 enodes) 1540201899.367 * * [misc]simplify: iters left: 5 (14 enodes) 1540201899.371 * * [misc]simplify: iters left: 4 (17 enodes) 1540201899.375 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.375 * [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))))))) 1540201899.375 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1540201899.376 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1540201899.376 * * [misc]simplify: iters left: 5 (7 enodes) 1540201899.378 * * [misc]simplify: iters left: 4 (11 enodes) 1540201899.381 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1540201899.381 * [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))))))) 1540201899.381 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540201899.381 * * [misc]simplify: iters left: 6 (9 enodes) 1540201899.384 * * [misc]simplify: iters left: 5 (12 enodes) 1540201899.387 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540201899.387 * [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)))))) 1540201899.387 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1540201899.387 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1540201899.388 * * [misc]simplify: iters left: 5 (7 enodes) 1540201899.390 * * [misc]simplify: iters left: 4 (11 enodes) 1540201899.393 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1540201899.393 * [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))))))) 1540201899.394 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540201899.394 * * [misc]simplify: iters left: 6 (9 enodes) 1540201899.397 * * [misc]simplify: iters left: 5 (12 enodes) 1540201899.400 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540201899.400 * [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)))))) 1540201899.400 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1540201899.400 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1540201899.400 * * [misc]simplify: iters left: 6 (9 enodes) 1540201899.404 * * [misc]simplify: iters left: 5 (13 enodes) 1540201899.407 * * [misc]simplify: iters left: 4 (16 enodes) 1540201899.412 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1540201899.412 * [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))))))) 1540201899.412 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540201899.412 * * [misc]simplify: iters left: 6 (8 enodes) 1540201899.414 * * [misc]simplify: iters left: 5 (10 enodes) 1540201899.416 * * [misc]simplify: iters left: 4 (13 enodes) 1540201899.418 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540201899.418 * [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))))))) 1540201899.418 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1540201899.418 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201899.418 * * [misc]simplify: iters left: 6 (12 enodes) 1540201899.420 * * [misc]simplify: iters left: 5 (19 enodes) 1540201899.422 * * [misc]simplify: iters left: 4 (22 enodes) 1540201899.425 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201899.425 * [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)))))))) 1540201899.425 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.425 * * [misc]simplify: iters left: 6 (11 enodes) 1540201899.427 * * [misc]simplify: iters left: 5 (14 enodes) 1540201899.429 * * [misc]simplify: iters left: 4 (17 enodes) 1540201899.431 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.431 * [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)))))))) 1540201899.431 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1540201899.431 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.431 * * [misc]simplify: iters left: 6 (11 enodes) 1540201899.433 * * [misc]simplify: iters left: 5 (16 enodes) 1540201899.435 * * [misc]simplify: iters left: 4 (19 enodes) 1540201899.437 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201899.437 * [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)))))))) 1540201899.437 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.437 * * [misc]simplify: iters left: 6 (11 enodes) 1540201899.439 * * [misc]simplify: iters left: 5 (14 enodes) 1540201899.441 * * [misc]simplify: iters left: 4 (17 enodes) 1540201899.443 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201899.443 * [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)))))))) 1540201899.443 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1540201899.443 * [enter]simplify: Simplifying (/ 1 1) 1540201899.443 * * [misc]simplify: iters left: 2 (2 enodes) 1540201899.443 * * [misc]simplify: iters left: 1 (4 enodes) 1540201899.444 * [exit]simplify: Simplified to 1 1540201899.444 * [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))))))) 1540201899.444 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.444 * * [misc]simplify: iters left: 6 (10 enodes) 1540201899.445 * * [misc]simplify: iters left: 5 (13 enodes) 1540201899.447 * * [misc]simplify: iters left: 4 (16 enodes) 1540201899.451 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.451 * [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))))))) 1540201899.451 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1540201899.451 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1540201899.451 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1540201899.451 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1540201899.452 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540201899.452 * * [misc]simplify: iters left: 5 (7 enodes) 1540201899.454 * * [misc]simplify: iters left: 4 (10 enodes) 1540201899.457 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540201899.457 * [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)))))) 1540201899.457 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1540201899.457 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540201899.457 * * [misc]simplify: iters left: 5 (7 enodes) 1540201899.459 * * [misc]simplify: iters left: 4 (10 enodes) 1540201899.462 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540201899.462 * [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)))))) 1540201899.462 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1540201899.463 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540201899.463 * * [misc]simplify: iters left: 5 (6 enodes) 1540201899.465 * * [misc]simplify: iters left: 4 (8 enodes) 1540201899.467 * * [misc]simplify: iters left: 3 (11 enodes) 1540201899.470 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540201899.470 * [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)))))) 1540201899.470 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1540201899.470 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.470 * * [misc]simplify: iters left: 6 (9 enodes) 1540201899.473 * * [misc]simplify: iters left: 5 (12 enodes) 1540201899.477 * * [misc]simplify: iters left: 4 (15 enodes) 1540201899.481 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.481 * [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))))))) 1540201899.481 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1540201899.481 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.481 * * [misc]simplify: iters left: 6 (9 enodes) 1540201899.484 * * [misc]simplify: iters left: 5 (12 enodes) 1540201899.488 * * [misc]simplify: iters left: 4 (15 enodes) 1540201899.492 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540201899.492 * [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))))))) 1540201899.492 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1540201899.492 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540201899.492 * * [misc]simplify: iters left: 5 (8 enodes) 1540201899.495 * * [misc]simplify: iters left: 4 (11 enodes) 1540201899.497 * * [misc]simplify: iters left: 3 (14 enodes) 1540201899.501 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540201899.501 * [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)))))) 1540201899.501 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1540201899.502 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540201899.502 * * [misc]simplify: iters left: 4 (4 enodes) 1540201899.503 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540201899.503 * [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)))))) 1540201899.503 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1540201899.503 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540201899.503 * * [misc]simplify: iters left: 2 (3 enodes) 1540201899.504 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540201899.504 * [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)))))) 1540201899.504 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1540201899.504 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1540201899.505 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540201899.505 * * [misc]simplify: iters left: 3 (6 enodes) 1540201899.506 * * [misc]simplify: iters left: 2 (7 enodes) 1540201899.508 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540201899.508 * [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))))) 1540201899.508 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1540201899.509 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1540201899.509 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1540201899.509 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1540201899.509 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540201899.509 * * [misc]simplify: iters left: 6 (16 enodes) 1540201899.515 * * [misc]simplify: iters left: 5 (31 enodes) 1540201899.526 * * [misc]simplify: iters left: 4 (70 enodes) 1540201899.553 * * [misc]simplify: iters left: 3 (225 enodes) 1540201899.675 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1540201899.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1540201899.675 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1540201899.675 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540201899.675 * * [misc]simplify: iters left: 6 (16 enodes) 1540201899.681 * * [misc]simplify: iters left: 5 (31 enodes) 1540201899.691 * * [misc]simplify: iters left: 4 (70 enodes) 1540201899.726 * * [misc]simplify: iters left: 3 (225 enodes) 1540201899.845 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1540201899.845 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1540201899.845 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1540201899.846 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201899.846 * * [misc]simplify: iters left: 6 (16 enodes) 1540201899.848 * * [misc]simplify: iters left: 5 (29 enodes) 1540201899.853 * * [misc]simplify: iters left: 4 (58 enodes) 1540201899.868 * * [misc]simplify: iters left: 3 (142 enodes) 1540201899.944 * * [misc]simplify: iters left: 2 (491 enodes) 1540201900.382 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))) 1540201900.382 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))))) 1540201900.382 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1540201900.382 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201900.383 * * [misc]simplify: iters left: 6 (15 enodes) 1540201900.387 * * [misc]simplify: iters left: 5 (25 enodes) 1540201900.395 * * [misc]simplify: iters left: 4 (42 enodes) 1540201900.410 * * [misc]simplify: iters left: 3 (87 enodes) 1540201900.440 * * [misc]simplify: iters left: 2 (190 enodes) 1540201900.585 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1540201900.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1540201900.585 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1540201900.585 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540201900.585 * * [misc]simplify: iters left: 6 (16 enodes) 1540201900.591 * * [misc]simplify: iters left: 5 (31 enodes) 1540201900.596 * * [misc]simplify: iters left: 4 (64 enodes) 1540201900.610 * * [misc]simplify: iters left: 3 (197 enodes) 1540201900.717 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1540201900.717 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1540201900.717 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1540201900.717 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540201900.717 * * [misc]simplify: iters left: 6 (16 enodes) 1540201900.720 * * [misc]simplify: iters left: 5 (31 enodes) 1540201900.725 * * [misc]simplify: iters left: 4 (64 enodes) 1540201900.739 * * [misc]simplify: iters left: 3 (197 enodes) 1540201900.832 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1540201900.832 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1540201900.832 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1540201900.832 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201900.832 * * [misc]simplify: iters left: 6 (16 enodes) 1540201900.837 * * [misc]simplify: iters left: 5 (29 enodes) 1540201900.850 * * [misc]simplify: iters left: 4 (52 enodes) 1540201900.862 * * [misc]simplify: iters left: 3 (114 enodes) 1540201900.905 * * [misc]simplify: iters left: 2 (450 enodes) 1540201901.130 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1540201901.130 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1540201901.130 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1540201901.131 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201901.131 * * [misc]simplify: iters left: 6 (15 enodes) 1540201901.133 * * [misc]simplify: iters left: 5 (25 enodes) 1540201901.142 * * [misc]simplify: iters left: 4 (37 enodes) 1540201901.153 * * [misc]simplify: iters left: 3 (63 enodes) 1540201901.174 * * [misc]simplify: iters left: 2 (161 enodes) 1540201901.228 * * [misc]simplify: iters left: 1 (499 enodes) 1540201901.521 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1540201901.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1540201901.521 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1540201901.521 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1540201901.521 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1540201901.521 * [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)))))) 1540201901.521 * * [misc]simplify: iters left: 6 (19 enodes) 1540201901.526 * * [misc]simplify: iters left: 5 (36 enodes) 1540201901.539 * * [misc]simplify: iters left: 4 (112 enodes) 1540201901.592 * * [misc]simplify: iters left: 3 (434 enodes) 1540201901.962 * [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)))))) 1540201901.963 * [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)))))))) 1540201901.963 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1540201901.963 * [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)))))) 1540201901.963 * * [misc]simplify: iters left: 6 (17 enodes) 1540201901.966 * * [misc]simplify: iters left: 5 (35 enodes) 1540201901.972 * * [misc]simplify: iters left: 4 (92 enodes) 1540201902.002 * * [misc]simplify: iters left: 3 (254 enodes) 1540201902.214 * [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)))))) 1540201902.214 * [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)))))))) 1540201902.214 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1540201902.214 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1540201902.214 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1540201902.214 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1540201902.214 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1540201902.215 * [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))))))) 1540201902.215 * * [misc]simplify: iters left: 6 (15 enodes) 1540201902.217 * * [misc]simplify: iters left: 5 (21 enodes) 1540201902.220 * * [misc]simplify: iters left: 4 (24 enodes) 1540201902.223 * [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)))))) 1540201902.224 * [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)))))))) 1540201902.224 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.224 * * [misc]simplify: iters left: 6 (15 enodes) 1540201902.226 * * [misc]simplify: iters left: 5 (19 enodes) 1540201902.228 * * [misc]simplify: iters left: 4 (20 enodes) 1540201902.231 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.231 * [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)))))))) 1540201902.231 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1540201902.231 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.231 * * [misc]simplify: iters left: 6 (14 enodes) 1540201902.236 * * [misc]simplify: iters left: 5 (18 enodes) 1540201902.241 * * [misc]simplify: iters left: 4 (21 enodes) 1540201902.246 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.247 * [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)))))))) 1540201902.247 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.247 * * [misc]simplify: iters left: 6 (15 enodes) 1540201902.251 * * [misc]simplify: iters left: 5 (19 enodes) 1540201902.256 * * [misc]simplify: iters left: 4 (20 enodes) 1540201902.259 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.259 * [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)))))))) 1540201902.259 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1540201902.259 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540201902.259 * * [misc]simplify: iters left: 6 (13 enodes) 1540201902.261 * * [misc]simplify: iters left: 5 (20 enodes) 1540201902.263 * * [misc]simplify: iters left: 4 (27 enodes) 1540201902.267 * * [misc]simplify: iters left: 3 (39 enodes) 1540201902.272 * * [misc]simplify: iters left: 2 (44 enodes) 1540201902.277 * * [misc]simplify: iters left: 1 (51 enodes) 1540201902.284 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1540201902.284 * [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))))))) 1540201902.284 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201902.284 * * [misc]simplify: iters left: 6 (13 enodes) 1540201902.288 * * [misc]simplify: iters left: 5 (18 enodes) 1540201902.294 * * [misc]simplify: iters left: 4 (21 enodes) 1540201902.300 * * [misc]simplify: iters left: 3 (23 enodes) 1540201902.306 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540201902.306 * [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)))))) 1540201902.306 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1540201902.307 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540201902.307 * * [misc]simplify: iters left: 6 (13 enodes) 1540201902.311 * * [misc]simplify: iters left: 5 (20 enodes) 1540201902.317 * * [misc]simplify: iters left: 4 (27 enodes) 1540201902.325 * * [misc]simplify: iters left: 3 (39 enodes) 1540201902.336 * * [misc]simplify: iters left: 2 (44 enodes) 1540201902.347 * * [misc]simplify: iters left: 1 (51 enodes) 1540201902.360 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1540201902.360 * [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))))))) 1540201902.360 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201902.361 * * [misc]simplify: iters left: 6 (13 enodes) 1540201902.364 * * [misc]simplify: iters left: 5 (18 enodes) 1540201902.370 * * [misc]simplify: iters left: 4 (21 enodes) 1540201902.376 * * [misc]simplify: iters left: 3 (23 enodes) 1540201902.382 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540201902.382 * [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)))))) 1540201902.382 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1540201902.383 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201902.383 * * [misc]simplify: iters left: 6 (14 enodes) 1540201902.387 * * [misc]simplify: iters left: 5 (21 enodes) 1540201902.393 * * [misc]simplify: iters left: 4 (31 enodes) 1540201902.403 * * [misc]simplify: iters left: 3 (43 enodes) 1540201902.415 * * [misc]simplify: iters left: 2 (48 enodes) 1540201902.427 * * [misc]simplify: iters left: 1 (55 enodes) 1540201902.435 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1540201902.435 * [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))))))) 1540201902.435 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201902.435 * * [misc]simplify: iters left: 6 (13 enodes) 1540201902.437 * * [misc]simplify: iters left: 5 (18 enodes) 1540201902.439 * * [misc]simplify: iters left: 4 (22 enodes) 1540201902.443 * * [misc]simplify: iters left: 3 (24 enodes) 1540201902.445 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540201902.446 * [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)))))) 1540201902.446 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1540201902.446 * [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))))))) 1540201902.446 * * [misc]simplify: iters left: 6 (17 enodes) 1540201902.448 * * [misc]simplify: iters left: 5 (29 enodes) 1540201902.453 * * [misc]simplify: iters left: 4 (50 enodes) 1540201902.460 * * [misc]simplify: iters left: 3 (73 enodes) 1540201902.473 * * [misc]simplify: iters left: 2 (103 enodes) 1540201902.488 * * [misc]simplify: iters left: 1 (127 enodes) 1540201902.509 * [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)))) 1540201902.509 * [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)))))))) 1540201902.509 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.510 * * [misc]simplify: iters left: 6 (16 enodes) 1540201902.512 * * [misc]simplify: iters left: 5 (22 enodes) 1540201902.518 * * [misc]simplify: iters left: 4 (26 enodes) 1540201902.525 * * [misc]simplify: iters left: 3 (28 enodes) 1540201902.533 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201902.533 * [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))))))) 1540201902.533 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1540201902.534 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.534 * * [misc]simplify: iters left: 6 (16 enodes) 1540201902.539 * * [misc]simplify: iters left: 5 (24 enodes) 1540201902.546 * * [misc]simplify: iters left: 4 (34 enodes) 1540201902.555 * * [misc]simplify: iters left: 3 (46 enodes) 1540201902.567 * * [misc]simplify: iters left: 2 (51 enodes) 1540201902.580 * * [misc]simplify: iters left: 1 (58 enodes) 1540201902.595 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1540201902.595 * [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)))))))) 1540201902.596 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.596 * * [misc]simplify: iters left: 6 (16 enodes) 1540201902.601 * * [misc]simplify: iters left: 5 (22 enodes) 1540201902.607 * * [misc]simplify: iters left: 4 (26 enodes) 1540201902.614 * * [misc]simplify: iters left: 3 (28 enodes) 1540201902.621 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201902.621 * [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))))))) 1540201902.621 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1540201902.622 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540201902.622 * * [misc]simplify: iters left: 6 (10 enodes) 1540201902.625 * * [misc]simplify: iters left: 5 (17 enodes) 1540201902.631 * * [misc]simplify: iters left: 4 (28 enodes) 1540201902.638 * * [misc]simplify: iters left: 3 (33 enodes) 1540201902.646 * * [misc]simplify: iters left: 2 (50 enodes) 1540201902.662 * * [misc]simplify: iters left: 1 (65 enodes) 1540201902.679 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540201902.679 * [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))))))) 1540201902.680 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201902.680 * * [misc]simplify: iters left: 6 (15 enodes) 1540201902.684 * * [misc]simplify: iters left: 5 (21 enodes) 1540201902.690 * * [misc]simplify: iters left: 4 (25 enodes) 1540201902.698 * * [misc]simplify: iters left: 3 (27 enodes) 1540201902.705 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1540201902.705 * [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))))) 1540201902.705 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1540201902.706 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540201902.706 * * [misc]simplify: iters left: 6 (12 enodes) 1540201902.709 * * [misc]simplify: iters left: 5 (17 enodes) 1540201902.714 * * [misc]simplify: iters left: 4 (20 enodes) 1540201902.719 * * [misc]simplify: iters left: 3 (22 enodes) 1540201902.725 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1540201902.725 * [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))))))) 1540201902.725 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201902.725 * * [misc]simplify: iters left: 6 (13 enodes) 1540201902.729 * * [misc]simplify: iters left: 5 (18 enodes) 1540201902.734 * * [misc]simplify: iters left: 4 (21 enodes) 1540201902.740 * * [misc]simplify: iters left: 3 (23 enodes) 1540201902.747 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201902.747 * [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)))))) 1540201902.747 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1540201902.747 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540201902.747 * * [misc]simplify: iters left: 6 (12 enodes) 1540201902.749 * * [misc]simplify: iters left: 5 (17 enodes) 1540201902.751 * * [misc]simplify: iters left: 4 (20 enodes) 1540201902.754 * * [misc]simplify: iters left: 3 (22 enodes) 1540201902.757 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1540201902.757 * [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))))))) 1540201902.757 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201902.757 * * [misc]simplify: iters left: 6 (13 enodes) 1540201902.759 * * [misc]simplify: iters left: 5 (18 enodes) 1540201902.761 * * [misc]simplify: iters left: 4 (21 enodes) 1540201902.764 * * [misc]simplify: iters left: 3 (23 enodes) 1540201902.767 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201902.767 * [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)))))) 1540201902.767 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1540201902.767 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201902.767 * * [misc]simplify: iters left: 6 (13 enodes) 1540201902.770 * * [misc]simplify: iters left: 5 (18 enodes) 1540201902.772 * * [misc]simplify: iters left: 4 (24 enodes) 1540201902.775 * * [misc]simplify: iters left: 3 (26 enodes) 1540201902.779 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201902.779 * [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))))))) 1540201902.779 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201902.779 * * [misc]simplify: iters left: 6 (13 enodes) 1540201902.781 * * [misc]simplify: iters left: 5 (18 enodes) 1540201902.784 * * [misc]simplify: iters left: 4 (22 enodes) 1540201902.788 * * [misc]simplify: iters left: 3 (24 enodes) 1540201902.792 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201902.792 * [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)))))) 1540201902.792 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1540201902.792 * [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))))))) 1540201902.792 * * [misc]simplify: iters left: 6 (16 enodes) 1540201902.794 * * [misc]simplify: iters left: 5 (24 enodes) 1540201902.798 * * [misc]simplify: iters left: 4 (32 enodes) 1540201902.803 * * [misc]simplify: iters left: 3 (41 enodes) 1540201902.809 * * [misc]simplify: iters left: 2 (49 enodes) 1540201902.815 * * [misc]simplify: iters left: 1 (51 enodes) 1540201902.821 * [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)))))) 1540201902.821 * [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)))))))) 1540201902.822 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.822 * * [misc]simplify: iters left: 6 (16 enodes) 1540201902.824 * * [misc]simplify: iters left: 5 (22 enodes) 1540201902.827 * * [misc]simplify: iters left: 4 (26 enodes) 1540201902.830 * * [misc]simplify: iters left: 3 (28 enodes) 1540201902.834 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201902.834 * [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))))))) 1540201902.834 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1540201902.834 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.834 * * [misc]simplify: iters left: 6 (15 enodes) 1540201902.837 * * [misc]simplify: iters left: 5 (21 enodes) 1540201902.843 * * [misc]simplify: iters left: 4 (27 enodes) 1540201902.851 * * [misc]simplify: iters left: 3 (29 enodes) 1540201902.859 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540201902.859 * [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)))))))) 1540201902.859 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201902.860 * * [misc]simplify: iters left: 6 (16 enodes) 1540201902.864 * * [misc]simplify: iters left: 5 (22 enodes) 1540201902.871 * * [misc]simplify: iters left: 4 (26 enodes) 1540201902.878 * * [misc]simplify: iters left: 3 (28 enodes) 1540201902.885 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201902.885 * [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))))))) 1540201902.885 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1540201902.886 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1540201902.886 * * [misc]simplify: iters left: 6 (9 enodes) 1540201902.889 * * [misc]simplify: iters left: 5 (14 enodes) 1540201902.893 * * [misc]simplify: iters left: 4 (21 enodes) 1540201902.898 * * [misc]simplify: iters left: 3 (23 enodes) 1540201902.902 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540201902.902 * [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))))))) 1540201902.903 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201902.903 * * [misc]simplify: iters left: 6 (15 enodes) 1540201902.908 * * [misc]simplify: iters left: 5 (21 enodes) 1540201902.913 * * [misc]simplify: iters left: 4 (25 enodes) 1540201902.920 * * [misc]simplify: iters left: 3 (27 enodes) 1540201902.927 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1540201902.927 * [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))))) 1540201902.927 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1540201902.928 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1540201902.928 * * [misc]simplify: iters left: 6 (10 enodes) 1540201902.931 * * [misc]simplify: iters left: 5 (17 enodes) 1540201902.935 * * [misc]simplify: iters left: 4 (19 enodes) 1540201902.941 * * [misc]simplify: iters left: 3 (28 enodes) 1540201902.947 * * [misc]simplify: iters left: 2 (31 enodes) 1540201902.954 * * [misc]simplify: iters left: 1 (33 enodes) 1540201902.962 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1540201902.962 * [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))))))) 1540201902.962 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201902.962 * * [misc]simplify: iters left: 6 (12 enodes) 1540201902.966 * * [misc]simplify: iters left: 5 (17 enodes) 1540201902.970 * * [misc]simplify: iters left: 4 (20 enodes) 1540201902.976 * * [misc]simplify: iters left: 3 (22 enodes) 1540201902.982 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201902.982 * [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))))) 1540201902.982 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1540201902.982 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1540201902.982 * * [misc]simplify: iters left: 6 (10 enodes) 1540201902.985 * * [misc]simplify: iters left: 5 (17 enodes) 1540201902.989 * * [misc]simplify: iters left: 4 (19 enodes) 1540201902.995 * * [misc]simplify: iters left: 3 (28 enodes) 1540201903.002 * * [misc]simplify: iters left: 2 (31 enodes) 1540201903.010 * * [misc]simplify: iters left: 1 (33 enodes) 1540201903.017 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1540201903.017 * [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))))))) 1540201903.017 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201903.018 * * [misc]simplify: iters left: 6 (12 enodes) 1540201903.021 * * [misc]simplify: iters left: 5 (17 enodes) 1540201903.026 * * [misc]simplify: iters left: 4 (20 enodes) 1540201903.031 * * [misc]simplify: iters left: 3 (22 enodes) 1540201903.037 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201903.037 * [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))))) 1540201903.037 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1540201903.038 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201903.038 * * [misc]simplify: iters left: 6 (12 enodes) 1540201903.041 * * [misc]simplify: iters left: 5 (19 enodes) 1540201903.045 * * [misc]simplify: iters left: 4 (24 enodes) 1540201903.048 * * [misc]simplify: iters left: 3 (33 enodes) 1540201903.057 * * [misc]simplify: iters left: 2 (36 enodes) 1540201903.065 * * [misc]simplify: iters left: 1 (39 enodes) 1540201903.072 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1540201903.073 * [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))))))) 1540201903.073 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201903.073 * * [misc]simplify: iters left: 6 (12 enodes) 1540201903.074 * * [misc]simplify: iters left: 5 (17 enodes) 1540201903.077 * * [misc]simplify: iters left: 4 (21 enodes) 1540201903.079 * * [misc]simplify: iters left: 3 (23 enodes) 1540201903.082 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201903.082 * [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)))))) 1540201903.082 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1540201903.082 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201903.082 * * [misc]simplify: iters left: 6 (15 enodes) 1540201903.085 * * [misc]simplify: iters left: 5 (25 enodes) 1540201903.088 * * [misc]simplify: iters left: 4 (32 enodes) 1540201903.092 * * [misc]simplify: iters left: 3 (47 enodes) 1540201903.099 * * [misc]simplify: iters left: 2 (62 enodes) 1540201903.116 * * [misc]simplify: iters left: 1 (76 enodes) 1540201903.139 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1540201903.139 * [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)))))))) 1540201903.139 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.139 * * [misc]simplify: iters left: 6 (15 enodes) 1540201903.144 * * [misc]simplify: iters left: 5 (21 enodes) 1540201903.149 * * [misc]simplify: iters left: 4 (25 enodes) 1540201903.154 * * [misc]simplify: iters left: 3 (27 enodes) 1540201903.157 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540201903.157 * [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))))) 1540201903.157 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1540201903.157 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.158 * * [misc]simplify: iters left: 6 (14 enodes) 1540201903.160 * * [misc]simplify: iters left: 5 (22 enodes) 1540201903.162 * * [misc]simplify: iters left: 4 (27 enodes) 1540201903.166 * * [misc]simplify: iters left: 3 (36 enodes) 1540201903.170 * * [misc]simplify: iters left: 2 (39 enodes) 1540201903.175 * * [misc]simplify: iters left: 1 (42 enodes) 1540201903.180 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1540201903.180 * [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)))))))) 1540201903.181 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.181 * * [misc]simplify: iters left: 6 (15 enodes) 1540201903.185 * * [misc]simplify: iters left: 5 (21 enodes) 1540201903.191 * * [misc]simplify: iters left: 4 (25 enodes) 1540201903.197 * * [misc]simplify: iters left: 3 (27 enodes) 1540201903.204 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540201903.205 * [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))))) 1540201903.205 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1540201903.205 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1540201903.205 * * [misc]simplify: iters left: 4 (6 enodes) 1540201903.207 * * [misc]simplify: iters left: 3 (9 enodes) 1540201903.209 * [exit]simplify: Simplified to (sqrt PI) 1540201903.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201903.209 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201903.209 * * [misc]simplify: iters left: 6 (14 enodes) 1540201903.214 * * [misc]simplify: iters left: 5 (20 enodes) 1540201903.219 * * [misc]simplify: iters left: 4 (24 enodes) 1540201903.226 * * [misc]simplify: iters left: 3 (26 enodes) 1540201903.234 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201903.234 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201903.234 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1540201903.234 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1540201903.234 * * [misc]simplify: iters left: 3 (5 enodes) 1540201903.236 * * [misc]simplify: iters left: 2 (8 enodes) 1540201903.238 * * [misc]simplify: iters left: 1 (10 enodes) 1540201903.240 * [exit]simplify: Simplified to (sqrt PI) 1540201903.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201903.240 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201903.240 * * [misc]simplify: iters left: 6 (14 enodes) 1540201903.242 * * [misc]simplify: iters left: 5 (20 enodes) 1540201903.245 * * [misc]simplify: iters left: 4 (24 enodes) 1540201903.248 * * [misc]simplify: iters left: 3 (26 enodes) 1540201903.251 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201903.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201903.251 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1540201903.251 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1540201903.251 * * [misc]simplify: iters left: 3 (6 enodes) 1540201903.252 * * [misc]simplify: iters left: 2 (7 enodes) 1540201903.253 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540201903.253 * [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))))))) 1540201903.253 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540201903.253 * * [misc]simplify: iters left: 6 (14 enodes) 1540201903.255 * * [misc]simplify: iters left: 5 (22 enodes) 1540201903.258 * * [misc]simplify: iters left: 4 (26 enodes) 1540201903.262 * * [misc]simplify: iters left: 3 (36 enodes) 1540201903.266 * * [misc]simplify: iters left: 2 (38 enodes) 1540201903.269 * * [misc]simplify: iters left: 1 (43 enodes) 1540201903.274 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540201903.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1540201903.274 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1540201903.274 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1540201903.274 * * [misc]simplify: iters left: 6 (11 enodes) 1540201903.276 * * [misc]simplify: iters left: 5 (16 enodes) 1540201903.278 * * [misc]simplify: iters left: 4 (19 enodes) 1540201903.280 * * [misc]simplify: iters left: 3 (21 enodes) 1540201903.283 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1540201903.283 * [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))))) 1540201903.283 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1540201903.283 * * [misc]simplify: iters left: 6 (10 enodes) 1540201903.285 * * [misc]simplify: iters left: 5 (13 enodes) 1540201903.289 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1540201903.289 * [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))))) 1540201903.289 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1540201903.290 * [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))))))) 1540201903.290 * * [misc]simplify: iters left: 6 (15 enodes) 1540201903.294 * * [misc]simplify: iters left: 5 (21 enodes) 1540201903.300 * * [misc]simplify: iters left: 4 (24 enodes) 1540201903.307 * [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)))))) 1540201903.307 * [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)))))))) 1540201903.307 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.307 * * [misc]simplify: iters left: 6 (15 enodes) 1540201903.311 * * [misc]simplify: iters left: 5 (19 enodes) 1540201903.317 * * [misc]simplify: iters left: 4 (20 enodes) 1540201903.323 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.323 * [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)))))))) 1540201903.323 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1540201903.323 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.323 * * [misc]simplify: iters left: 6 (14 enodes) 1540201903.328 * * [misc]simplify: iters left: 5 (18 enodes) 1540201903.333 * * [misc]simplify: iters left: 4 (21 enodes) 1540201903.340 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.340 * [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)))))))) 1540201903.340 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.341 * * [misc]simplify: iters left: 6 (15 enodes) 1540201903.344 * * [misc]simplify: iters left: 5 (19 enodes) 1540201903.347 * * [misc]simplify: iters left: 4 (20 enodes) 1540201903.349 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.349 * [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)))))))) 1540201903.350 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1540201903.350 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540201903.350 * * [misc]simplify: iters left: 6 (13 enodes) 1540201903.352 * * [misc]simplify: iters left: 5 (20 enodes) 1540201903.354 * * [misc]simplify: iters left: 4 (27 enodes) 1540201903.358 * * [misc]simplify: iters left: 3 (39 enodes) 1540201903.364 * * [misc]simplify: iters left: 2 (44 enodes) 1540201903.369 * * [misc]simplify: iters left: 1 (51 enodes) 1540201903.376 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1540201903.376 * [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))))))) 1540201903.376 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201903.376 * * [misc]simplify: iters left: 6 (13 enodes) 1540201903.378 * * [misc]simplify: iters left: 5 (18 enodes) 1540201903.381 * * [misc]simplify: iters left: 4 (21 enodes) 1540201903.383 * * [misc]simplify: iters left: 3 (23 enodes) 1540201903.389 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540201903.389 * [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)))))) 1540201903.390 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1540201903.390 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540201903.390 * * [misc]simplify: iters left: 6 (13 enodes) 1540201903.394 * * [misc]simplify: iters left: 5 (20 enodes) 1540201903.400 * * [misc]simplify: iters left: 4 (27 enodes) 1540201903.408 * * [misc]simplify: iters left: 3 (39 enodes) 1540201903.418 * * [misc]simplify: iters left: 2 (44 enodes) 1540201903.429 * * [misc]simplify: iters left: 1 (51 enodes) 1540201903.443 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1540201903.443 * [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))))))) 1540201903.444 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201903.444 * * [misc]simplify: iters left: 6 (13 enodes) 1540201903.448 * * [misc]simplify: iters left: 5 (18 enodes) 1540201903.453 * * [misc]simplify: iters left: 4 (21 enodes) 1540201903.459 * * [misc]simplify: iters left: 3 (23 enodes) 1540201903.465 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540201903.465 * [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)))))) 1540201903.465 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1540201903.465 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201903.466 * * [misc]simplify: iters left: 6 (14 enodes) 1540201903.470 * * [misc]simplify: iters left: 5 (21 enodes) 1540201903.476 * * [misc]simplify: iters left: 4 (31 enodes) 1540201903.482 * * [misc]simplify: iters left: 3 (43 enodes) 1540201903.488 * * [misc]simplify: iters left: 2 (48 enodes) 1540201903.493 * * [misc]simplify: iters left: 1 (55 enodes) 1540201903.500 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1540201903.500 * [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))))))) 1540201903.500 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201903.500 * * [misc]simplify: iters left: 6 (13 enodes) 1540201903.502 * * [misc]simplify: iters left: 5 (18 enodes) 1540201903.505 * * [misc]simplify: iters left: 4 (22 enodes) 1540201903.507 * * [misc]simplify: iters left: 3 (24 enodes) 1540201903.510 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540201903.510 * [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)))))) 1540201903.510 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1540201903.511 * [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))))))) 1540201903.511 * * [misc]simplify: iters left: 6 (17 enodes) 1540201903.513 * * [misc]simplify: iters left: 5 (29 enodes) 1540201903.520 * * [misc]simplify: iters left: 4 (50 enodes) 1540201903.535 * * [misc]simplify: iters left: 3 (73 enodes) 1540201903.559 * * [misc]simplify: iters left: 2 (103 enodes) 1540201903.576 * * [misc]simplify: iters left: 1 (127 enodes) 1540201903.599 * [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)))) 1540201903.600 * [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)))))))) 1540201903.600 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.600 * * [misc]simplify: iters left: 6 (16 enodes) 1540201903.605 * * [misc]simplify: iters left: 5 (22 enodes) 1540201903.611 * * [misc]simplify: iters left: 4 (26 enodes) 1540201903.617 * * [misc]simplify: iters left: 3 (28 enodes) 1540201903.620 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201903.620 * [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))))))) 1540201903.620 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1540201903.620 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.621 * * [misc]simplify: iters left: 6 (16 enodes) 1540201903.623 * * [misc]simplify: iters left: 5 (24 enodes) 1540201903.626 * * [misc]simplify: iters left: 4 (34 enodes) 1540201903.630 * * [misc]simplify: iters left: 3 (46 enodes) 1540201903.637 * * [misc]simplify: iters left: 2 (51 enodes) 1540201903.643 * * [misc]simplify: iters left: 1 (58 enodes) 1540201903.653 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1540201903.653 * [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)))))))) 1540201903.654 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.654 * * [misc]simplify: iters left: 6 (16 enodes) 1540201903.659 * * [misc]simplify: iters left: 5 (22 enodes) 1540201903.665 * * [misc]simplify: iters left: 4 (26 enodes) 1540201903.672 * * [misc]simplify: iters left: 3 (28 enodes) 1540201903.679 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201903.679 * [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))))))) 1540201903.679 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1540201903.680 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540201903.680 * * [misc]simplify: iters left: 6 (10 enodes) 1540201903.681 * * [misc]simplify: iters left: 5 (17 enodes) 1540201903.684 * * [misc]simplify: iters left: 4 (28 enodes) 1540201903.687 * * [misc]simplify: iters left: 3 (33 enodes) 1540201903.691 * * [misc]simplify: iters left: 2 (50 enodes) 1540201903.698 * * [misc]simplify: iters left: 1 (65 enodes) 1540201903.707 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540201903.707 * [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))))))) 1540201903.707 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201903.707 * * [misc]simplify: iters left: 6 (15 enodes) 1540201903.709 * * [misc]simplify: iters left: 5 (21 enodes) 1540201903.713 * * [misc]simplify: iters left: 4 (25 enodes) 1540201903.719 * * [misc]simplify: iters left: 3 (27 enodes) 1540201903.726 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1540201903.726 * [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))))) 1540201903.726 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1540201903.727 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540201903.727 * * [misc]simplify: iters left: 6 (12 enodes) 1540201903.730 * * [misc]simplify: iters left: 5 (17 enodes) 1540201903.736 * * [misc]simplify: iters left: 4 (20 enodes) 1540201903.741 * * [misc]simplify: iters left: 3 (22 enodes) 1540201903.743 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1540201903.743 * [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))))))) 1540201903.743 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201903.744 * * [misc]simplify: iters left: 6 (13 enodes) 1540201903.745 * * [misc]simplify: iters left: 5 (18 enodes) 1540201903.748 * * [misc]simplify: iters left: 4 (21 enodes) 1540201903.750 * * [misc]simplify: iters left: 3 (23 enodes) 1540201903.753 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201903.753 * [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)))))) 1540201903.753 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1540201903.753 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540201903.753 * * [misc]simplify: iters left: 6 (12 enodes) 1540201903.755 * * [misc]simplify: iters left: 5 (17 enodes) 1540201903.757 * * [misc]simplify: iters left: 4 (20 enodes) 1540201903.760 * * [misc]simplify: iters left: 3 (22 enodes) 1540201903.762 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1540201903.762 * [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))))))) 1540201903.762 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201903.762 * * [misc]simplify: iters left: 6 (13 enodes) 1540201903.764 * * [misc]simplify: iters left: 5 (18 enodes) 1540201903.767 * * [misc]simplify: iters left: 4 (21 enodes) 1540201903.772 * * [misc]simplify: iters left: 3 (23 enodes) 1540201903.778 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201903.778 * [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)))))) 1540201903.778 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1540201903.778 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201903.778 * * [misc]simplify: iters left: 6 (13 enodes) 1540201903.782 * * [misc]simplify: iters left: 5 (18 enodes) 1540201903.788 * * [misc]simplify: iters left: 4 (24 enodes) 1540201903.794 * * [misc]simplify: iters left: 3 (26 enodes) 1540201903.798 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201903.798 * [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))))))) 1540201903.798 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201903.798 * * [misc]simplify: iters left: 6 (13 enodes) 1540201903.800 * * [misc]simplify: iters left: 5 (18 enodes) 1540201903.803 * * [misc]simplify: iters left: 4 (22 enodes) 1540201903.806 * * [misc]simplify: iters left: 3 (24 enodes) 1540201903.809 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201903.809 * [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)))))) 1540201903.809 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1540201903.809 * [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))))))) 1540201903.809 * * [misc]simplify: iters left: 6 (16 enodes) 1540201903.811 * * [misc]simplify: iters left: 5 (24 enodes) 1540201903.814 * * [misc]simplify: iters left: 4 (32 enodes) 1540201903.819 * * [misc]simplify: iters left: 3 (41 enodes) 1540201903.826 * * [misc]simplify: iters left: 2 (49 enodes) 1540201903.837 * * [misc]simplify: iters left: 1 (51 enodes) 1540201903.851 * [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)))))) 1540201903.851 * [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)))))))) 1540201903.851 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.852 * * [misc]simplify: iters left: 6 (16 enodes) 1540201903.856 * * [misc]simplify: iters left: 5 (22 enodes) 1540201903.863 * * [misc]simplify: iters left: 4 (26 enodes) 1540201903.870 * * [misc]simplify: iters left: 3 (28 enodes) 1540201903.877 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201903.877 * [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))))))) 1540201903.877 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1540201903.877 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.878 * * [misc]simplify: iters left: 6 (15 enodes) 1540201903.882 * * [misc]simplify: iters left: 5 (21 enodes) 1540201903.887 * * [misc]simplify: iters left: 4 (27 enodes) 1540201903.894 * * [misc]simplify: iters left: 3 (29 enodes) 1540201903.902 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540201903.902 * [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)))))))) 1540201903.902 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201903.902 * * [misc]simplify: iters left: 6 (16 enodes) 1540201903.907 * * [misc]simplify: iters left: 5 (22 enodes) 1540201903.913 * * [misc]simplify: iters left: 4 (26 enodes) 1540201903.920 * * [misc]simplify: iters left: 3 (28 enodes) 1540201903.928 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201903.928 * [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))))))) 1540201903.928 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1540201903.928 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1540201903.928 * * [misc]simplify: iters left: 6 (9 enodes) 1540201903.931 * * [misc]simplify: iters left: 5 (14 enodes) 1540201903.936 * * [misc]simplify: iters left: 4 (21 enodes) 1540201903.941 * * [misc]simplify: iters left: 3 (23 enodes) 1540201903.945 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540201903.945 * [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))))))) 1540201903.946 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201903.946 * * [misc]simplify: iters left: 6 (15 enodes) 1540201903.950 * * [misc]simplify: iters left: 5 (21 enodes) 1540201903.956 * * [misc]simplify: iters left: 4 (25 enodes) 1540201903.963 * * [misc]simplify: iters left: 3 (27 enodes) 1540201903.972 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1540201903.972 * [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))))) 1540201903.972 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1540201903.972 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1540201903.973 * * [misc]simplify: iters left: 6 (10 enodes) 1540201903.976 * * [misc]simplify: iters left: 5 (17 enodes) 1540201903.980 * * [misc]simplify: iters left: 4 (19 enodes) 1540201903.986 * * [misc]simplify: iters left: 3 (28 enodes) 1540201903.993 * * [misc]simplify: iters left: 2 (31 enodes) 1540201904.000 * * [misc]simplify: iters left: 1 (33 enodes) 1540201904.007 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1540201904.007 * [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))))))) 1540201904.008 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201904.008 * * [misc]simplify: iters left: 6 (12 enodes) 1540201904.012 * * [misc]simplify: iters left: 5 (17 enodes) 1540201904.017 * * [misc]simplify: iters left: 4 (20 enodes) 1540201904.022 * * [misc]simplify: iters left: 3 (22 enodes) 1540201904.028 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201904.028 * [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))))) 1540201904.028 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1540201904.029 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1540201904.029 * * [misc]simplify: iters left: 6 (10 enodes) 1540201904.032 * * [misc]simplify: iters left: 5 (17 enodes) 1540201904.037 * * [misc]simplify: iters left: 4 (19 enodes) 1540201904.043 * * [misc]simplify: iters left: 3 (28 enodes) 1540201904.050 * * [misc]simplify: iters left: 2 (31 enodes) 1540201904.057 * * [misc]simplify: iters left: 1 (33 enodes) 1540201904.064 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1540201904.064 * [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))))))) 1540201904.064 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201904.064 * * [misc]simplify: iters left: 6 (12 enodes) 1540201904.068 * * [misc]simplify: iters left: 5 (17 enodes) 1540201904.073 * * [misc]simplify: iters left: 4 (20 enodes) 1540201904.079 * * [misc]simplify: iters left: 3 (22 enodes) 1540201904.085 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201904.085 * [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))))) 1540201904.085 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1540201904.085 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201904.085 * * [misc]simplify: iters left: 6 (12 enodes) 1540201904.089 * * [misc]simplify: iters left: 5 (19 enodes) 1540201904.094 * * [misc]simplify: iters left: 4 (24 enodes) 1540201904.102 * * [misc]simplify: iters left: 3 (33 enodes) 1540201904.109 * * [misc]simplify: iters left: 2 (36 enodes) 1540201904.118 * * [misc]simplify: iters left: 1 (39 enodes) 1540201904.128 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1540201904.128 * [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))))))) 1540201904.128 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201904.128 * * [misc]simplify: iters left: 6 (12 enodes) 1540201904.132 * * [misc]simplify: iters left: 5 (17 enodes) 1540201904.137 * * [misc]simplify: iters left: 4 (21 enodes) 1540201904.143 * * [misc]simplify: iters left: 3 (23 enodes) 1540201904.149 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201904.149 * [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)))))) 1540201904.149 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1540201904.150 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201904.150 * * [misc]simplify: iters left: 6 (15 enodes) 1540201904.154 * * [misc]simplify: iters left: 5 (25 enodes) 1540201904.161 * * [misc]simplify: iters left: 4 (32 enodes) 1540201904.171 * * [misc]simplify: iters left: 3 (47 enodes) 1540201904.184 * * [misc]simplify: iters left: 2 (62 enodes) 1540201904.202 * * [misc]simplify: iters left: 1 (76 enodes) 1540201904.225 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1540201904.225 * [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)))))))) 1540201904.225 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201904.226 * * [misc]simplify: iters left: 6 (15 enodes) 1540201904.230 * * [misc]simplify: iters left: 5 (21 enodes) 1540201904.236 * * [misc]simplify: iters left: 4 (25 enodes) 1540201904.243 * * [misc]simplify: iters left: 3 (27 enodes) 1540201904.250 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540201904.250 * [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))))) 1540201904.250 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1540201904.250 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201904.250 * * [misc]simplify: iters left: 6 (14 enodes) 1540201904.255 * * [misc]simplify: iters left: 5 (22 enodes) 1540201904.261 * * [misc]simplify: iters left: 4 (27 enodes) 1540201904.269 * * [misc]simplify: iters left: 3 (36 enodes) 1540201904.278 * * [misc]simplify: iters left: 2 (39 enodes) 1540201904.287 * * [misc]simplify: iters left: 1 (42 enodes) 1540201904.292 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1540201904.292 * [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)))))))) 1540201904.292 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201904.292 * * [misc]simplify: iters left: 6 (15 enodes) 1540201904.294 * * [misc]simplify: iters left: 5 (21 enodes) 1540201904.297 * * [misc]simplify: iters left: 4 (25 enodes) 1540201904.300 * * [misc]simplify: iters left: 3 (27 enodes) 1540201904.304 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540201904.304 * [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))))) 1540201904.304 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1540201904.304 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1540201904.304 * * [misc]simplify: iters left: 4 (6 enodes) 1540201904.305 * * [misc]simplify: iters left: 3 (9 enodes) 1540201904.306 * [exit]simplify: Simplified to (sqrt PI) 1540201904.306 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201904.307 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201904.307 * * [misc]simplify: iters left: 6 (14 enodes) 1540201904.309 * * [misc]simplify: iters left: 5 (20 enodes) 1540201904.311 * * [misc]simplify: iters left: 4 (24 enodes) 1540201904.314 * * [misc]simplify: iters left: 3 (26 enodes) 1540201904.318 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201904.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201904.318 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1540201904.318 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1540201904.318 * * [misc]simplify: iters left: 3 (5 enodes) 1540201904.319 * * [misc]simplify: iters left: 2 (8 enodes) 1540201904.321 * * [misc]simplify: iters left: 1 (10 enodes) 1540201904.323 * [exit]simplify: Simplified to (sqrt PI) 1540201904.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201904.323 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201904.323 * * [misc]simplify: iters left: 6 (14 enodes) 1540201904.327 * * [misc]simplify: iters left: 5 (20 enodes) 1540201904.333 * * [misc]simplify: iters left: 4 (24 enodes) 1540201904.339 * * [misc]simplify: iters left: 3 (26 enodes) 1540201904.346 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201904.346 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201904.346 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1540201904.346 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1540201904.346 * * [misc]simplify: iters left: 3 (6 enodes) 1540201904.348 * * [misc]simplify: iters left: 2 (7 enodes) 1540201904.350 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540201904.350 * [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))))))) 1540201904.350 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540201904.351 * * [misc]simplify: iters left: 6 (14 enodes) 1540201904.355 * * [misc]simplify: iters left: 5 (22 enodes) 1540201904.361 * * [misc]simplify: iters left: 4 (26 enodes) 1540201904.369 * * [misc]simplify: iters left: 3 (36 enodes) 1540201904.377 * * [misc]simplify: iters left: 2 (38 enodes) 1540201904.386 * * [misc]simplify: iters left: 1 (43 enodes) 1540201904.396 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540201904.396 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1540201904.396 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1540201904.396 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1540201904.396 * * [misc]simplify: iters left: 6 (11 enodes) 1540201904.399 * * [misc]simplify: iters left: 5 (16 enodes) 1540201904.401 * * [misc]simplify: iters left: 4 (19 enodes) 1540201904.404 * * [misc]simplify: iters left: 3 (21 enodes) 1540201904.406 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1540201904.406 * [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))))) 1540201904.406 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1540201904.406 * * [misc]simplify: iters left: 6 (10 enodes) 1540201904.408 * * [misc]simplify: iters left: 5 (13 enodes) 1540201904.410 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1540201904.410 * [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))))) 1540201904.410 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1540201904.410 * [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))))))) 1540201904.410 * * [misc]simplify: iters left: 6 (17 enodes) 1540201904.412 * * [misc]simplify: iters left: 5 (26 enodes) 1540201904.416 * * [misc]simplify: iters left: 4 (38 enodes) 1540201904.421 * * [misc]simplify: iters left: 3 (41 enodes) 1540201904.426 * * [misc]simplify: iters left: 2 (44 enodes) 1540201904.432 * [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))))))) 1540201904.432 * [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)))))))) 1540201904.433 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201904.433 * * [misc]simplify: iters left: 6 (15 enodes) 1540201904.437 * * [misc]simplify: iters left: 5 (18 enodes) 1540201904.442 * * [misc]simplify: iters left: 4 (21 enodes) 1540201904.448 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540201904.448 * [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)))))))) 1540201904.448 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1540201904.449 * [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)))))) 1540201904.449 * * [misc]simplify: iters left: 6 (16 enodes) 1540201904.452 * * [misc]simplify: iters left: 5 (21 enodes) 1540201904.455 * * [misc]simplify: iters left: 4 (26 enodes) 1540201904.459 * * [misc]simplify: iters left: 3 (27 enodes) 1540201904.462 * [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)))))) 1540201904.462 * [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)))))))) 1540201904.462 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201904.462 * * [misc]simplify: iters left: 6 (15 enodes) 1540201904.464 * * [misc]simplify: iters left: 5 (18 enodes) 1540201904.467 * * [misc]simplify: iters left: 4 (21 enodes) 1540201904.469 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540201904.470 * [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 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540201904.470 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1540201904.470 * [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))) 1540201904.470 * * [misc]simplify: iters left: 6 (17 enodes) 1540201904.473 * * [misc]simplify: iters left: 5 (27 enodes) 1540201904.477 * * [misc]simplify: iters left: 4 (45 enodes) 1540201904.484 * * [misc]simplify: iters left: 3 (86 enodes) 1540201904.515 * * [misc]simplify: iters left: 2 (137 enodes) 1540201904.542 * * [misc]simplify: iters left: 1 (166 enodes) 1540201904.591 * [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)))))) 1540201904.591 * [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))))))) 1540201904.591 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201904.591 * * [misc]simplify: iters left: 6 (16 enodes) 1540201904.596 * * [misc]simplify: iters left: 5 (22 enodes) 1540201904.601 * * [misc]simplify: iters left: 4 (26 enodes) 1540201904.604 * * [misc]simplify: iters left: 3 (28 enodes) 1540201904.607 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201904.607 * [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))))))) 1540201904.607 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1540201904.608 * [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))) 1540201904.608 * * [misc]simplify: iters left: 6 (17 enodes) 1540201904.610 * * [misc]simplify: iters left: 5 (27 enodes) 1540201904.614 * * [misc]simplify: iters left: 4 (45 enodes) 1540201904.621 * * [misc]simplify: iters left: 3 (86 enodes) 1540201904.644 * * [misc]simplify: iters left: 2 (137 enodes) 1540201904.697 * * [misc]simplify: iters left: 1 (166 enodes) 1540201904.754 * [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)))))) 1540201904.755 * [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))))))) 1540201904.755 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201904.755 * * [misc]simplify: iters left: 6 (16 enodes) 1540201904.757 * * [misc]simplify: iters left: 5 (22 enodes) 1540201904.760 * * [misc]simplify: iters left: 4 (26 enodes) 1540201904.763 * * [misc]simplify: iters left: 3 (28 enodes) 1540201904.767 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201904.767 * [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))))))) 1540201904.767 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1540201904.767 * [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))))) 1540201904.767 * * [misc]simplify: iters left: 6 (16 enodes) 1540201904.769 * * [misc]simplify: iters left: 5 (24 enodes) 1540201904.774 * * [misc]simplify: iters left: 4 (42 enodes) 1540201904.780 * * [misc]simplify: iters left: 3 (83 enodes) 1540201904.795 * * [misc]simplify: iters left: 2 (134 enodes) 1540201904.845 * * [misc]simplify: iters left: 1 (163 enodes) 1540201904.906 * [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))))) 1540201904.906 * [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))))))) 1540201904.906 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201904.906 * * [misc]simplify: iters left: 6 (13 enodes) 1540201904.910 * * [misc]simplify: iters left: 5 (17 enodes) 1540201904.915 * * [misc]simplify: iters left: 4 (23 enodes) 1540201904.922 * * [misc]simplify: iters left: 3 (25 enodes) 1540201904.928 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201904.928 * [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))))))) 1540201904.928 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1540201904.929 * [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))))))) 1540201904.929 * * [misc]simplify: iters left: 6 (19 enodes) 1540201904.935 * * [misc]simplify: iters left: 5 (32 enodes) 1540201904.946 * * [misc]simplify: iters left: 4 (66 enodes) 1540201904.962 * * [misc]simplify: iters left: 3 (135 enodes) 1540201904.995 * * [misc]simplify: iters left: 2 (266 enodes) 1540201905.152 * * [misc]simplify: iters left: 1 (376 enodes) 1540201905.333 * [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))))) 1540201905.333 * [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)))))))) 1540201905.334 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201905.334 * * [misc]simplify: iters left: 6 (16 enodes) 1540201905.339 * * [misc]simplify: iters left: 5 (21 enodes) 1540201905.345 * * [misc]simplify: iters left: 4 (27 enodes) 1540201905.352 * * [misc]simplify: iters left: 3 (29 enodes) 1540201905.360 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540201905.360 * [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))))) 1540201905.361 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1540201905.361 * [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)))))) 1540201905.361 * * [misc]simplify: iters left: 6 (18 enodes) 1540201905.367 * * [misc]simplify: iters left: 5 (27 enodes) 1540201905.376 * * [misc]simplify: iters left: 4 (45 enodes) 1540201905.393 * * [misc]simplify: iters left: 3 (86 enodes) 1540201905.425 * * [misc]simplify: iters left: 2 (137 enodes) 1540201905.466 * * [misc]simplify: iters left: 1 (166 enodes) 1540201905.511 * [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)))))) 1540201905.511 * [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)))))))) 1540201905.511 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201905.511 * * [misc]simplify: iters left: 6 (16 enodes) 1540201905.516 * * [misc]simplify: iters left: 5 (21 enodes) 1540201905.523 * * [misc]simplify: iters left: 4 (27 enodes) 1540201905.530 * * [misc]simplify: iters left: 3 (29 enodes) 1540201905.537 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540201905.537 * [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))))) 1540201905.538 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1540201905.538 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540201905.538 * * [misc]simplify: iters left: 6 (15 enodes) 1540201905.543 * * [misc]simplify: iters left: 5 (25 enodes) 1540201905.552 * * [misc]simplify: iters left: 4 (46 enodes) 1540201905.565 * * [misc]simplify: iters left: 3 (70 enodes) 1540201905.584 * * [misc]simplify: iters left: 2 (144 enodes) 1540201905.636 * * [misc]simplify: iters left: 1 (214 enodes) 1540201905.666 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540201905.666 * [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))))))) 1540201905.666 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201905.667 * * [misc]simplify: iters left: 6 (15 enodes) 1540201905.670 * * [misc]simplify: iters left: 5 (20 enodes) 1540201905.675 * * [misc]simplify: iters left: 4 (26 enodes) 1540201905.679 * * [misc]simplify: iters left: 3 (28 enodes) 1540201905.682 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201905.682 * [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))))))) 1540201905.682 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1540201905.683 * [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))) 1540201905.683 * * [misc]simplify: iters left: 6 (16 enodes) 1540201905.685 * * [misc]simplify: iters left: 5 (24 enodes) 1540201905.689 * * [misc]simplify: iters left: 4 (34 enodes) 1540201905.694 * * [misc]simplify: iters left: 3 (46 enodes) 1540201905.699 * * [misc]simplify: iters left: 2 (58 enodes) 1540201905.710 * * [misc]simplify: iters left: 1 (64 enodes) 1540201905.728 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1540201905.728 * [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))))))) 1540201905.729 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201905.729 * * [misc]simplify: iters left: 6 (16 enodes) 1540201905.734 * * [misc]simplify: iters left: 5 (22 enodes) 1540201905.740 * * [misc]simplify: iters left: 4 (26 enodes) 1540201905.747 * * [misc]simplify: iters left: 3 (28 enodes) 1540201905.754 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201905.754 * [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))))))) 1540201905.755 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1540201905.755 * [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))) 1540201905.755 * * [misc]simplify: iters left: 6 (16 enodes) 1540201905.760 * * [misc]simplify: iters left: 5 (24 enodes) 1540201905.765 * * [misc]simplify: iters left: 4 (34 enodes) 1540201905.770 * * [misc]simplify: iters left: 3 (46 enodes) 1540201905.776 * * [misc]simplify: iters left: 2 (58 enodes) 1540201905.783 * * [misc]simplify: iters left: 1 (64 enodes) 1540201905.793 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1540201905.793 * [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))))))) 1540201905.793 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201905.794 * * [misc]simplify: iters left: 6 (16 enodes) 1540201905.796 * * [misc]simplify: iters left: 5 (22 enodes) 1540201905.799 * * [misc]simplify: iters left: 4 (26 enodes) 1540201905.802 * * [misc]simplify: iters left: 3 (28 enodes) 1540201905.808 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201905.808 * [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))))))) 1540201905.808 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1540201905.809 * [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))))) 1540201905.809 * * [misc]simplify: iters left: 6 (15 enodes) 1540201905.814 * * [misc]simplify: iters left: 5 (21 enodes) 1540201905.820 * * [misc]simplify: iters left: 4 (31 enodes) 1540201905.829 * * [misc]simplify: iters left: 3 (43 enodes) 1540201905.841 * * [misc]simplify: iters left: 2 (55 enodes) 1540201905.849 * * [misc]simplify: iters left: 1 (61 enodes) 1540201905.857 * [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)))))) 1540201905.857 * [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))))))) 1540201905.858 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201905.858 * * [misc]simplify: iters left: 6 (13 enodes) 1540201905.859 * * [misc]simplify: iters left: 5 (17 enodes) 1540201905.862 * * [misc]simplify: iters left: 4 (23 enodes) 1540201905.865 * * [misc]simplify: iters left: 3 (25 enodes) 1540201905.868 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201905.868 * [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))))))) 1540201905.868 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1540201905.868 * [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))))))) 1540201905.868 * * [misc]simplify: iters left: 6 (18 enodes) 1540201905.871 * * [misc]simplify: iters left: 5 (27 enodes) 1540201905.878 * * [misc]simplify: iters left: 4 (41 enodes) 1540201905.885 * * [misc]simplify: iters left: 3 (67 enodes) 1540201905.896 * * [misc]simplify: iters left: 2 (106 enodes) 1540201905.913 * * [misc]simplify: iters left: 1 (137 enodes) 1540201905.935 * [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))))))) 1540201905.935 * [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)))))))) 1540201905.936 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201905.936 * * [misc]simplify: iters left: 6 (16 enodes) 1540201905.941 * * [misc]simplify: iters left: 5 (21 enodes) 1540201905.947 * * [misc]simplify: iters left: 4 (27 enodes) 1540201905.954 * * [misc]simplify: iters left: 3 (29 enodes) 1540201905.962 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540201905.962 * [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))))) 1540201905.962 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1540201905.962 * [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)))))) 1540201905.962 * * [misc]simplify: iters left: 6 (17 enodes) 1540201905.964 * * [misc]simplify: iters left: 5 (24 enodes) 1540201905.968 * * [misc]simplify: iters left: 4 (34 enodes) 1540201905.972 * * [misc]simplify: iters left: 3 (46 enodes) 1540201905.978 * * [misc]simplify: iters left: 2 (58 enodes) 1540201905.985 * * [misc]simplify: iters left: 1 (64 enodes) 1540201906.001 * [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)))))) 1540201906.001 * [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)))))))) 1540201906.001 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201906.001 * * [misc]simplify: iters left: 6 (16 enodes) 1540201906.006 * * [misc]simplify: iters left: 5 (21 enodes) 1540201906.012 * * [misc]simplify: iters left: 4 (27 enodes) 1540201906.020 * * [misc]simplify: iters left: 3 (29 enodes) 1540201906.028 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540201906.028 * [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))))) 1540201906.028 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1540201906.028 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1540201906.028 * * [misc]simplify: iters left: 6 (14 enodes) 1540201906.033 * * [misc]simplify: iters left: 5 (22 enodes) 1540201906.041 * * [misc]simplify: iters left: 4 (33 enodes) 1540201906.046 * * [misc]simplify: iters left: 3 (44 enodes) 1540201906.051 * * [misc]simplify: iters left: 2 (45 enodes) 1540201906.055 * * [misc]simplify: iters left: 1 (51 enodes) 1540201906.062 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201906.062 * [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))))))) 1540201906.062 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201906.062 * * [misc]simplify: iters left: 6 (15 enodes) 1540201906.064 * * [misc]simplify: iters left: 5 (20 enodes) 1540201906.067 * * [misc]simplify: iters left: 4 (26 enodes) 1540201906.070 * * [misc]simplify: iters left: 3 (28 enodes) 1540201906.075 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201906.075 * [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))))))) 1540201906.075 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1540201906.075 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1540201906.076 * * [misc]simplify: iters left: 6 (15 enodes) 1540201906.080 * * [misc]simplify: iters left: 5 (25 enodes) 1540201906.086 * * [misc]simplify: iters left: 4 (35 enodes) 1540201906.096 * * [misc]simplify: iters left: 3 (50 enodes) 1540201906.109 * * [misc]simplify: iters left: 2 (98 enodes) 1540201906.132 * * [misc]simplify: iters left: 1 (235 enodes) 1540201906.211 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1540201906.211 * [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))))))) 1540201906.211 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201906.211 * * [misc]simplify: iters left: 6 (15 enodes) 1540201906.216 * * [misc]simplify: iters left: 5 (21 enodes) 1540201906.219 * * [misc]simplify: iters left: 4 (25 enodes) 1540201906.222 * * [misc]simplify: iters left: 3 (27 enodes) 1540201906.225 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540201906.225 * [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)))))) 1540201906.225 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1540201906.226 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1540201906.226 * * [misc]simplify: iters left: 6 (15 enodes) 1540201906.228 * * [misc]simplify: iters left: 5 (25 enodes) 1540201906.231 * * [misc]simplify: iters left: 4 (35 enodes) 1540201906.237 * * [misc]simplify: iters left: 3 (50 enodes) 1540201906.246 * * [misc]simplify: iters left: 2 (98 enodes) 1540201906.291 * * [misc]simplify: iters left: 1 (235 enodes) 1540201906.362 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1540201906.362 * [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))))))) 1540201906.362 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201906.362 * * [misc]simplify: iters left: 6 (15 enodes) 1540201906.364 * * [misc]simplify: iters left: 5 (21 enodes) 1540201906.367 * * [misc]simplify: iters left: 4 (25 enodes) 1540201906.373 * * [misc]simplify: iters left: 3 (27 enodes) 1540201906.378 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540201906.378 * [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)))))) 1540201906.378 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1540201906.378 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201906.378 * * [misc]simplify: iters left: 6 (14 enodes) 1540201906.380 * * [misc]simplify: iters left: 5 (22 enodes) 1540201906.383 * * [misc]simplify: iters left: 4 (32 enodes) 1540201906.388 * * [misc]simplify: iters left: 3 (47 enodes) 1540201906.395 * * [misc]simplify: iters left: 2 (95 enodes) 1540201906.419 * * [misc]simplify: iters left: 1 (215 enodes) 1540201906.484 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201906.485 * [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))))))) 1540201906.485 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201906.485 * * [misc]simplify: iters left: 6 (12 enodes) 1540201906.488 * * [misc]simplify: iters left: 5 (16 enodes) 1540201906.490 * * [misc]simplify: iters left: 4 (22 enodes) 1540201906.495 * * [misc]simplify: iters left: 3 (24 enodes) 1540201906.501 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201906.501 * [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))))))) 1540201906.501 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1540201906.502 * [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))))))) 1540201906.502 * * [misc]simplify: iters left: 6 (17 enodes) 1540201906.507 * * [misc]simplify: iters left: 5 (28 enodes) 1540201906.516 * * [misc]simplify: iters left: 4 (42 enodes) 1540201906.529 * * [misc]simplify: iters left: 3 (69 enodes) 1540201906.553 * * [misc]simplify: iters left: 2 (137 enodes) 1540201906.628 * * [misc]simplify: iters left: 1 (398 enodes) 1540201906.862 * [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)))))) 1540201906.862 * [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)))))))) 1540201906.862 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201906.862 * * [misc]simplify: iters left: 6 (15 enodes) 1540201906.867 * * [misc]simplify: iters left: 5 (20 enodes) 1540201906.870 * * [misc]simplify: iters left: 4 (26 enodes) 1540201906.873 * * [misc]simplify: iters left: 3 (28 enodes) 1540201906.877 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201906.877 * [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))))))) 1540201906.877 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1540201906.877 * [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)))))) 1540201906.877 * * [misc]simplify: iters left: 6 (16 enodes) 1540201906.879 * * [misc]simplify: iters left: 5 (25 enodes) 1540201906.883 * * [misc]simplify: iters left: 4 (35 enodes) 1540201906.888 * * [misc]simplify: iters left: 3 (50 enodes) 1540201906.895 * * [misc]simplify: iters left: 2 (73 enodes) 1540201906.921 * * [misc]simplify: iters left: 1 (148 enodes) 1540201906.991 * [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)))))) 1540201906.991 * [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)))))))) 1540201906.992 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201906.992 * * [misc]simplify: iters left: 6 (15 enodes) 1540201906.996 * * [misc]simplify: iters left: 5 (20 enodes) 1540201907.002 * * [misc]simplify: iters left: 4 (26 enodes) 1540201907.009 * * [misc]simplify: iters left: 3 (28 enodes) 1540201907.017 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201907.017 * [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))))))) 1540201907.017 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1540201907.017 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1540201907.017 * * [misc]simplify: iters left: 6 (12 enodes) 1540201907.021 * * [misc]simplify: iters left: 5 (18 enodes) 1540201907.026 * * [misc]simplify: iters left: 4 (21 enodes) 1540201907.033 * * [misc]simplify: iters left: 3 (29 enodes) 1540201907.039 * * [misc]simplify: iters left: 2 (31 enodes) 1540201907.046 * * [misc]simplify: iters left: 1 (38 enodes) 1540201907.055 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201907.055 * [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))))))) 1540201907.055 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201907.055 * * [misc]simplify: iters left: 6 (14 enodes) 1540201907.060 * * [misc]simplify: iters left: 5 (19 enodes) 1540201907.065 * * [misc]simplify: iters left: 4 (25 enodes) 1540201907.074 * * [misc]simplify: iters left: 3 (27 enodes) 1540201907.081 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201907.081 * [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))))))) 1540201907.081 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1540201907.082 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1540201907.082 * * [misc]simplify: iters left: 6 (11 enodes) 1540201907.085 * * [misc]simplify: iters left: 5 (17 enodes) 1540201907.090 * * [misc]simplify: iters left: 4 (26 enodes) 1540201907.096 * * [misc]simplify: iters left: 3 (28 enodes) 1540201907.102 * * [misc]simplify: iters left: 2 (33 enodes) 1540201907.110 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201907.110 * [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))))))) 1540201907.110 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201907.110 * * [misc]simplify: iters left: 6 (14 enodes) 1540201907.114 * * [misc]simplify: iters left: 5 (19 enodes) 1540201907.120 * * [misc]simplify: iters left: 4 (25 enodes) 1540201907.126 * * [misc]simplify: iters left: 3 (27 enodes) 1540201907.133 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201907.133 * [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))))))) 1540201907.133 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1540201907.133 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1540201907.133 * * [misc]simplify: iters left: 6 (11 enodes) 1540201907.137 * * [misc]simplify: iters left: 5 (15 enodes) 1540201907.141 * * [misc]simplify: iters left: 4 (20 enodes) 1540201907.147 * * [misc]simplify: iters left: 3 (21 enodes) 1540201907.150 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540201907.150 * [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))))))) 1540201907.150 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540201907.150 * * [misc]simplify: iters left: 6 (14 enodes) 1540201907.152 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.155 * * [misc]simplify: iters left: 4 (27 enodes) 1540201907.159 * * [misc]simplify: iters left: 3 (37 enodes) 1540201907.163 * * [misc]simplify: iters left: 2 (39 enodes) 1540201907.167 * * [misc]simplify: iters left: 1 (44 enodes) 1540201907.171 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201907.171 * [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))))))) 1540201907.171 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1540201907.172 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1540201907.172 * * [misc]simplify: iters left: 6 (15 enodes) 1540201907.174 * * [misc]simplify: iters left: 5 (23 enodes) 1540201907.179 * * [misc]simplify: iters left: 4 (33 enodes) 1540201907.189 * * [misc]simplify: iters left: 3 (45 enodes) 1540201907.201 * * [misc]simplify: iters left: 2 (57 enodes) 1540201907.210 * * [misc]simplify: iters left: 1 (63 enodes) 1540201907.218 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540201907.218 * [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))))) 1540201907.218 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540201907.218 * * [misc]simplify: iters left: 6 (12 enodes) 1540201907.220 * * [misc]simplify: iters left: 5 (15 enodes) 1540201907.222 * * [misc]simplify: iters left: 4 (18 enodes) 1540201907.224 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540201907.224 * [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))))) 1540201907.224 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1540201907.224 * [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))))))) 1540201907.224 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.227 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.230 * * [misc]simplify: iters left: 4 (24 enodes) 1540201907.233 * [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)))))) 1540201907.233 * [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)))))))) 1540201907.233 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201907.233 * * [misc]simplify: iters left: 6 (15 enodes) 1540201907.235 * * [misc]simplify: iters left: 5 (18 enodes) 1540201907.238 * * [misc]simplify: iters left: 4 (21 enodes) 1540201907.242 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540201907.242 * [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)))))))) 1540201907.242 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1540201907.243 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201907.243 * * [misc]simplify: iters left: 6 (15 enodes) 1540201907.247 * * [misc]simplify: iters left: 5 (18 enodes) 1540201907.252 * * [misc]simplify: iters left: 4 (21 enodes) 1540201907.258 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540201907.258 * [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)))))))) 1540201907.259 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201907.259 * * [misc]simplify: iters left: 6 (15 enodes) 1540201907.263 * * [misc]simplify: iters left: 5 (18 enodes) 1540201907.268 * * [misc]simplify: iters left: 4 (21 enodes) 1540201907.274 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540201907.274 * [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)))))))) 1540201907.274 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1540201907.275 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540201907.275 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.280 * * [misc]simplify: iters left: 5 (24 enodes) 1540201907.287 * * [misc]simplify: iters left: 4 (34 enodes) 1540201907.298 * * [misc]simplify: iters left: 3 (46 enodes) 1540201907.310 * * [misc]simplify: iters left: 2 (51 enodes) 1540201907.317 * * [misc]simplify: iters left: 1 (58 enodes) 1540201907.324 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1540201907.324 * [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))))))) 1540201907.324 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201907.324 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.326 * * [misc]simplify: iters left: 5 (22 enodes) 1540201907.329 * * [misc]simplify: iters left: 4 (26 enodes) 1540201907.332 * * [misc]simplify: iters left: 3 (28 enodes) 1540201907.336 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201907.336 * [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))))))) 1540201907.336 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1540201907.336 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540201907.336 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.338 * * [misc]simplify: iters left: 5 (24 enodes) 1540201907.344 * * [misc]simplify: iters left: 4 (34 enodes) 1540201907.354 * * [misc]simplify: iters left: 3 (46 enodes) 1540201907.360 * * [misc]simplify: iters left: 2 (51 enodes) 1540201907.366 * * [misc]simplify: iters left: 1 (58 enodes) 1540201907.373 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1540201907.373 * [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))))))) 1540201907.373 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201907.374 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.376 * * [misc]simplify: iters left: 5 (22 enodes) 1540201907.379 * * [misc]simplify: iters left: 4 (26 enodes) 1540201907.383 * * [misc]simplify: iters left: 3 (28 enodes) 1540201907.386 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201907.386 * [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))))))) 1540201907.386 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1540201907.386 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201907.386 * * [misc]simplify: iters left: 6 (15 enodes) 1540201907.388 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.391 * * [misc]simplify: iters left: 4 (31 enodes) 1540201907.401 * * [misc]simplify: iters left: 3 (43 enodes) 1540201907.408 * * [misc]simplify: iters left: 2 (48 enodes) 1540201907.413 * * [misc]simplify: iters left: 1 (55 enodes) 1540201907.420 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201907.420 * [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))))))) 1540201907.420 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201907.420 * * [misc]simplify: iters left: 6 (13 enodes) 1540201907.422 * * [misc]simplify: iters left: 5 (17 enodes) 1540201907.424 * * [misc]simplify: iters left: 4 (23 enodes) 1540201907.427 * * [misc]simplify: iters left: 3 (25 enodes) 1540201907.430 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201907.430 * [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))))))) 1540201907.431 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1540201907.431 * [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))))))) 1540201907.431 * * [misc]simplify: iters left: 6 (18 enodes) 1540201907.433 * * [misc]simplify: iters left: 5 (29 enodes) 1540201907.438 * * [misc]simplify: iters left: 4 (50 enodes) 1540201907.445 * * [misc]simplify: iters left: 3 (73 enodes) 1540201907.457 * * [misc]simplify: iters left: 2 (103 enodes) 1540201907.472 * * [misc]simplify: iters left: 1 (127 enodes) 1540201907.494 * [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))))) 1540201907.494 * [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)))))))) 1540201907.494 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201907.494 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.496 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.499 * * [misc]simplify: iters left: 4 (27 enodes) 1540201907.502 * * [misc]simplify: iters left: 3 (29 enodes) 1540201907.506 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540201907.506 * [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))))) 1540201907.506 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1540201907.506 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201907.506 * * [misc]simplify: iters left: 6 (17 enodes) 1540201907.509 * * [misc]simplify: iters left: 5 (24 enodes) 1540201907.512 * * [misc]simplify: iters left: 4 (34 enodes) 1540201907.518 * * [misc]simplify: iters left: 3 (46 enodes) 1540201907.530 * * [misc]simplify: iters left: 2 (51 enodes) 1540201907.544 * * [misc]simplify: iters left: 1 (58 enodes) 1540201907.559 * [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)))))) 1540201907.559 * [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)))))))) 1540201907.559 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201907.559 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.564 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.569 * * [misc]simplify: iters left: 4 (27 enodes) 1540201907.572 * * [misc]simplify: iters left: 3 (29 enodes) 1540201907.576 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540201907.576 * [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))))) 1540201907.576 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1540201907.576 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540201907.576 * * [misc]simplify: iters left: 6 (14 enodes) 1540201907.578 * * [misc]simplify: iters left: 5 (22 enodes) 1540201907.582 * * [misc]simplify: iters left: 4 (36 enodes) 1540201907.586 * * [misc]simplify: iters left: 3 (57 enodes) 1540201907.595 * * [misc]simplify: iters left: 2 (119 enodes) 1540201907.647 * * [misc]simplify: iters left: 1 (178 enodes) 1540201907.680 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201907.680 * [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))))))) 1540201907.680 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201907.680 * * [misc]simplify: iters left: 6 (15 enodes) 1540201907.684 * * [misc]simplify: iters left: 5 (20 enodes) 1540201907.690 * * [misc]simplify: iters left: 4 (26 enodes) 1540201907.697 * * [misc]simplify: iters left: 3 (28 enodes) 1540201907.704 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201907.704 * [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))))))) 1540201907.704 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1540201907.704 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540201907.704 * * [misc]simplify: iters left: 6 (15 enodes) 1540201907.709 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.714 * * [misc]simplify: iters left: 4 (27 enodes) 1540201907.721 * * [misc]simplify: iters left: 3 (29 enodes) 1540201907.728 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1540201907.729 * [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))))))) 1540201907.729 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201907.729 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.734 * * [misc]simplify: iters left: 5 (22 enodes) 1540201907.739 * * [misc]simplify: iters left: 4 (26 enodes) 1540201907.746 * * [misc]simplify: iters left: 3 (28 enodes) 1540201907.753 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201907.753 * [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))))))) 1540201907.753 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1540201907.754 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540201907.754 * * [misc]simplify: iters left: 6 (15 enodes) 1540201907.758 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.764 * * [misc]simplify: iters left: 4 (27 enodes) 1540201907.771 * * [misc]simplify: iters left: 3 (29 enodes) 1540201907.778 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1540201907.779 * [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))))))) 1540201907.779 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201907.779 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.785 * * [misc]simplify: iters left: 5 (22 enodes) 1540201907.791 * * [misc]simplify: iters left: 4 (26 enodes) 1540201907.798 * * [misc]simplify: iters left: 3 (28 enodes) 1540201907.805 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201907.805 * [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))))))) 1540201907.805 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1540201907.805 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201907.805 * * [misc]simplify: iters left: 6 (14 enodes) 1540201907.809 * * [misc]simplify: iters left: 5 (18 enodes) 1540201907.814 * * [misc]simplify: iters left: 4 (24 enodes) 1540201907.820 * * [misc]simplify: iters left: 3 (26 enodes) 1540201907.827 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201907.827 * [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))))))) 1540201907.827 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201907.827 * * [misc]simplify: iters left: 6 (13 enodes) 1540201907.831 * * [misc]simplify: iters left: 5 (17 enodes) 1540201907.836 * * [misc]simplify: iters left: 4 (23 enodes) 1540201907.842 * * [misc]simplify: iters left: 3 (25 enodes) 1540201907.848 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201907.848 * [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))))))) 1540201907.848 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1540201907.848 * [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))))))) 1540201907.848 * * [misc]simplify: iters left: 6 (17 enodes) 1540201907.853 * * [misc]simplify: iters left: 5 (24 enodes) 1540201907.859 * * [misc]simplify: iters left: 4 (32 enodes) 1540201907.866 * * [misc]simplify: iters left: 3 (41 enodes) 1540201907.877 * * [misc]simplify: iters left: 2 (49 enodes) 1540201907.887 * * [misc]simplify: iters left: 1 (51 enodes) 1540201907.899 * [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)))))) 1540201907.899 * [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)))))))) 1540201907.900 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201907.900 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.902 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.905 * * [misc]simplify: iters left: 4 (27 enodes) 1540201907.908 * * [misc]simplify: iters left: 3 (29 enodes) 1540201907.912 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540201907.912 * [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))))) 1540201907.912 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1540201907.913 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201907.913 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.915 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.921 * * [misc]simplify: iters left: 4 (27 enodes) 1540201907.928 * * [misc]simplify: iters left: 3 (29 enodes) 1540201907.936 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540201907.936 * [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)))))))) 1540201907.936 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201907.936 * * [misc]simplify: iters left: 6 (16 enodes) 1540201907.941 * * [misc]simplify: iters left: 5 (21 enodes) 1540201907.947 * * [misc]simplify: iters left: 4 (27 enodes) 1540201907.954 * * [misc]simplify: iters left: 3 (29 enodes) 1540201907.962 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540201907.962 * [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))))) 1540201907.962 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1540201907.962 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1540201907.962 * * [misc]simplify: iters left: 6 (13 enodes) 1540201907.966 * * [misc]simplify: iters left: 5 (19 enodes) 1540201907.972 * * [misc]simplify: iters left: 4 (29 enodes) 1540201907.979 * * [misc]simplify: iters left: 3 (33 enodes) 1540201907.986 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201907.986 * [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))))))) 1540201907.987 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201907.987 * * [misc]simplify: iters left: 6 (15 enodes) 1540201907.992 * * [misc]simplify: iters left: 5 (20 enodes) 1540201907.998 * * [misc]simplify: iters left: 4 (26 enodes) 1540201908.005 * * [misc]simplify: iters left: 3 (28 enodes) 1540201908.012 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201908.012 * [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))))))) 1540201908.012 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1540201908.013 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1540201908.013 * * [misc]simplify: iters left: 6 (14 enodes) 1540201908.017 * * [misc]simplify: iters left: 5 (22 enodes) 1540201908.023 * * [misc]simplify: iters left: 4 (28 enodes) 1540201908.031 * * [misc]simplify: iters left: 3 (38 enodes) 1540201908.041 * * [misc]simplify: iters left: 2 (40 enodes) 1540201908.049 * * [misc]simplify: iters left: 1 (45 enodes) 1540201908.061 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201908.061 * [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))))))) 1540201908.061 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201908.061 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.066 * * [misc]simplify: iters left: 5 (21 enodes) 1540201908.071 * * [misc]simplify: iters left: 4 (25 enodes) 1540201908.078 * * [misc]simplify: iters left: 3 (27 enodes) 1540201908.085 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540201908.085 * [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)))))) 1540201908.085 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1540201908.085 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1540201908.086 * * [misc]simplify: iters left: 6 (14 enodes) 1540201908.090 * * [misc]simplify: iters left: 5 (22 enodes) 1540201908.096 * * [misc]simplify: iters left: 4 (28 enodes) 1540201908.104 * * [misc]simplify: iters left: 3 (38 enodes) 1540201908.114 * * [misc]simplify: iters left: 2 (40 enodes) 1540201908.122 * * [misc]simplify: iters left: 1 (45 enodes) 1540201908.132 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201908.133 * [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))))))) 1540201908.133 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201908.133 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.138 * * [misc]simplify: iters left: 5 (21 enodes) 1540201908.144 * * [misc]simplify: iters left: 4 (25 enodes) 1540201908.149 * * [misc]simplify: iters left: 3 (27 enodes) 1540201908.152 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540201908.152 * [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)))))) 1540201908.152 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1540201908.152 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201908.153 * * [misc]simplify: iters left: 6 (13 enodes) 1540201908.154 * * [misc]simplify: iters left: 5 (19 enodes) 1540201908.157 * * [misc]simplify: iters left: 4 (25 enodes) 1540201908.160 * * [misc]simplify: iters left: 3 (35 enodes) 1540201908.165 * * [misc]simplify: iters left: 2 (37 enodes) 1540201908.168 * * [misc]simplify: iters left: 1 (42 enodes) 1540201908.174 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201908.174 * [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))))))) 1540201908.174 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201908.175 * * [misc]simplify: iters left: 6 (12 enodes) 1540201908.179 * * [misc]simplify: iters left: 5 (16 enodes) 1540201908.184 * * [misc]simplify: iters left: 4 (22 enodes) 1540201908.190 * * [misc]simplify: iters left: 3 (24 enodes) 1540201908.197 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201908.197 * [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))))))) 1540201908.197 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1540201908.197 * [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))))))) 1540201908.198 * * [misc]simplify: iters left: 6 (16 enodes) 1540201908.203 * * [misc]simplify: iters left: 5 (25 enodes) 1540201908.210 * * [misc]simplify: iters left: 4 (33 enodes) 1540201908.220 * * [misc]simplify: iters left: 3 (47 enodes) 1540201908.233 * * [misc]simplify: iters left: 2 (56 enodes) 1540201908.246 * * [misc]simplify: iters left: 1 (66 enodes) 1540201908.266 * [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))))) 1540201908.267 * [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)))))))) 1540201908.267 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.267 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.272 * * [misc]simplify: iters left: 5 (20 enodes) 1540201908.278 * * [misc]simplify: iters left: 4 (26 enodes) 1540201908.285 * * [misc]simplify: iters left: 3 (28 enodes) 1540201908.292 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201908.292 * [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))))))) 1540201908.292 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1540201908.293 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.293 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.298 * * [misc]simplify: iters left: 5 (22 enodes) 1540201908.305 * * [misc]simplify: iters left: 4 (28 enodes) 1540201908.313 * * [misc]simplify: iters left: 3 (38 enodes) 1540201908.322 * * [misc]simplify: iters left: 2 (40 enodes) 1540201908.331 * * [misc]simplify: iters left: 1 (45 enodes) 1540201908.341 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201908.342 * [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)))))))) 1540201908.342 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.342 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.346 * * [misc]simplify: iters left: 5 (20 enodes) 1540201908.350 * * [misc]simplify: iters left: 4 (26 enodes) 1540201908.353 * * [misc]simplify: iters left: 3 (28 enodes) 1540201908.357 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201908.357 * [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))))))) 1540201908.357 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1540201908.357 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1540201908.357 * * [misc]simplify: iters left: 6 (11 enodes) 1540201908.359 * * [misc]simplify: iters left: 5 (15 enodes) 1540201908.361 * * [misc]simplify: iters left: 4 (18 enodes) 1540201908.363 * * [misc]simplify: iters left: 3 (20 enodes) 1540201908.365 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540201908.365 * [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))))))) 1540201908.365 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201908.365 * * [misc]simplify: iters left: 6 (14 enodes) 1540201908.367 * * [misc]simplify: iters left: 5 (19 enodes) 1540201908.370 * * [misc]simplify: iters left: 4 (25 enodes) 1540201908.373 * * [misc]simplify: iters left: 3 (27 enodes) 1540201908.376 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201908.376 * [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))))))) 1540201908.376 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1540201908.376 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1540201908.377 * * [misc]simplify: iters left: 6 (10 enodes) 1540201908.378 * * [misc]simplify: iters left: 5 (14 enodes) 1540201908.380 * * [misc]simplify: iters left: 4 (19 enodes) 1540201908.382 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540201908.382 * [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))))))) 1540201908.382 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201908.383 * * [misc]simplify: iters left: 6 (14 enodes) 1540201908.384 * * [misc]simplify: iters left: 5 (19 enodes) 1540201908.387 * * [misc]simplify: iters left: 4 (25 enodes) 1540201908.390 * * [misc]simplify: iters left: 3 (27 enodes) 1540201908.393 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201908.393 * [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))))))) 1540201908.393 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1540201908.394 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540201908.394 * * [misc]simplify: iters left: 6 (10 enodes) 1540201908.395 * * [misc]simplify: iters left: 5 (12 enodes) 1540201908.397 * * [misc]simplify: iters left: 4 (15 enodes) 1540201908.399 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540201908.399 * [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))))))) 1540201908.399 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540201908.399 * * [misc]simplify: iters left: 6 (14 enodes) 1540201908.401 * * [misc]simplify: iters left: 5 (21 enodes) 1540201908.404 * * [misc]simplify: iters left: 4 (27 enodes) 1540201908.408 * * [misc]simplify: iters left: 3 (37 enodes) 1540201908.413 * * [misc]simplify: iters left: 2 (39 enodes) 1540201908.417 * * [misc]simplify: iters left: 1 (44 enodes) 1540201908.421 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201908.421 * [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))))))) 1540201908.421 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1540201908.422 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1540201908.422 * * [misc]simplify: iters left: 6 (14 enodes) 1540201908.424 * * [misc]simplify: iters left: 5 (20 enodes) 1540201908.426 * * [misc]simplify: iters left: 4 (26 enodes) 1540201908.430 * * [misc]simplify: iters left: 3 (28 enodes) 1540201908.433 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1540201908.433 * [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))))) 1540201908.433 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540201908.433 * * [misc]simplify: iters left: 6 (12 enodes) 1540201908.435 * * [misc]simplify: iters left: 5 (15 enodes) 1540201908.437 * * [misc]simplify: iters left: 4 (18 enodes) 1540201908.440 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540201908.440 * [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))))) 1540201908.440 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1540201908.440 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201908.440 * * [misc]simplify: iters left: 6 (14 enodes) 1540201908.442 * * [misc]simplify: iters left: 5 (21 enodes) 1540201908.445 * * [misc]simplify: iters left: 4 (24 enodes) 1540201908.448 * [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)))))) 1540201908.448 * [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)))))))) 1540201908.448 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.448 * * [misc]simplify: iters left: 6 (14 enodes) 1540201908.450 * * [misc]simplify: iters left: 5 (17 enodes) 1540201908.453 * * [misc]simplify: iters left: 4 (20 enodes) 1540201908.455 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.455 * [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)))))))) 1540201908.455 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1540201908.455 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.456 * * [misc]simplify: iters left: 6 (13 enodes) 1540201908.457 * * [misc]simplify: iters left: 5 (18 enodes) 1540201908.460 * * [misc]simplify: iters left: 4 (21 enodes) 1540201908.462 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.462 * [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)))))))) 1540201908.463 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.463 * * [misc]simplify: iters left: 6 (14 enodes) 1540201908.465 * * [misc]simplify: iters left: 5 (17 enodes) 1540201908.467 * * [misc]simplify: iters left: 4 (20 enodes) 1540201908.470 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.470 * [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)))))))) 1540201908.470 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1540201908.470 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540201908.470 * * [misc]simplify: iters left: 6 (12 enodes) 1540201908.472 * * [misc]simplify: iters left: 5 (20 enodes) 1540201908.474 * * [misc]simplify: iters left: 4 (27 enodes) 1540201908.478 * * [misc]simplify: iters left: 3 (37 enodes) 1540201908.485 * * [misc]simplify: iters left: 2 (64 enodes) 1540201908.495 * * [misc]simplify: iters left: 1 (93 enodes) 1540201908.510 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201908.510 * [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))))))) 1540201908.510 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201908.510 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.512 * * [misc]simplify: iters left: 5 (21 enodes) 1540201908.515 * * [misc]simplify: iters left: 4 (25 enodes) 1540201908.518 * * [misc]simplify: iters left: 3 (27 enodes) 1540201908.522 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540201908.522 * [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)))))) 1540201908.522 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1540201908.522 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540201908.522 * * [misc]simplify: iters left: 6 (12 enodes) 1540201908.525 * * [misc]simplify: iters left: 5 (20 enodes) 1540201908.531 * * [misc]simplify: iters left: 4 (27 enodes) 1540201908.538 * * [misc]simplify: iters left: 3 (37 enodes) 1540201908.551 * * [misc]simplify: iters left: 2 (64 enodes) 1540201908.572 * * [misc]simplify: iters left: 1 (93 enodes) 1540201908.604 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201908.604 * [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))))))) 1540201908.605 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201908.605 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.609 * * [misc]simplify: iters left: 5 (21 enodes) 1540201908.616 * * [misc]simplify: iters left: 4 (25 enodes) 1540201908.621 * * [misc]simplify: iters left: 3 (27 enodes) 1540201908.624 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540201908.624 * [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)))))) 1540201908.624 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1540201908.624 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201908.625 * * [misc]simplify: iters left: 6 (13 enodes) 1540201908.626 * * [misc]simplify: iters left: 5 (21 enodes) 1540201908.629 * * [misc]simplify: iters left: 4 (31 enodes) 1540201908.633 * * [misc]simplify: iters left: 3 (51 enodes) 1540201908.642 * * [misc]simplify: iters left: 2 (90 enodes) 1540201908.664 * * [misc]simplify: iters left: 1 (181 enodes) 1540201908.758 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201908.758 * [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))))))) 1540201908.758 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201908.758 * * [misc]simplify: iters left: 6 (12 enodes) 1540201908.762 * * [misc]simplify: iters left: 5 (16 enodes) 1540201908.767 * * [misc]simplify: iters left: 4 (22 enodes) 1540201908.773 * * [misc]simplify: iters left: 3 (24 enodes) 1540201908.777 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540201908.777 * [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)))))) 1540201908.777 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1540201908.777 * [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))))))) 1540201908.778 * * [misc]simplify: iters left: 6 (16 enodes) 1540201908.780 * * [misc]simplify: iters left: 5 (29 enodes) 1540201908.784 * * [misc]simplify: iters left: 4 (50 enodes) 1540201908.791 * * [misc]simplify: iters left: 3 (70 enodes) 1540201908.806 * * [misc]simplify: iters left: 2 (169 enodes) 1540201908.877 * [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)))) 1540201908.877 * [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)))))))) 1540201908.877 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.877 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.879 * * [misc]simplify: iters left: 5 (20 enodes) 1540201908.882 * * [misc]simplify: iters left: 4 (26 enodes) 1540201908.885 * * [misc]simplify: iters left: 3 (28 enodes) 1540201908.891 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201908.891 * [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))))))) 1540201908.891 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1540201908.891 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.891 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.894 * * [misc]simplify: iters left: 5 (24 enodes) 1540201908.901 * * [misc]simplify: iters left: 4 (34 enodes) 1540201908.910 * * [misc]simplify: iters left: 3 (54 enodes) 1540201908.920 * * [misc]simplify: iters left: 2 (93 enodes) 1540201908.934 * * [misc]simplify: iters left: 1 (182 enodes) 1540201908.989 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201908.989 * [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)))))))) 1540201908.990 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201908.990 * * [misc]simplify: iters left: 6 (15 enodes) 1540201908.994 * * [misc]simplify: iters left: 5 (20 enodes) 1540201909.000 * * [misc]simplify: iters left: 4 (26 enodes) 1540201909.007 * * [misc]simplify: iters left: 3 (28 enodes) 1540201909.015 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201909.015 * [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))))))) 1540201909.015 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1540201909.015 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540201909.015 * * [misc]simplify: iters left: 6 (7 enodes) 1540201909.018 * * [misc]simplify: iters left: 5 (13 enodes) 1540201909.023 * * [misc]simplify: iters left: 4 (22 enodes) 1540201909.028 * * [misc]simplify: iters left: 3 (24 enodes) 1540201909.032 * * [misc]simplify: iters left: 2 (29 enodes) 1540201909.039 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540201909.039 * [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))))))) 1540201909.039 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.040 * * [misc]simplify: iters left: 6 (14 enodes) 1540201909.044 * * [misc]simplify: iters left: 5 (19 enodes) 1540201909.049 * * [misc]simplify: iters left: 4 (25 enodes) 1540201909.056 * * [misc]simplify: iters left: 3 (27 enodes) 1540201909.063 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540201909.063 * [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)))))) 1540201909.063 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1540201909.063 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540201909.064 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.067 * * [misc]simplify: iters left: 5 (17 enodes) 1540201909.071 * * [misc]simplify: iters left: 4 (20 enodes) 1540201909.077 * * [misc]simplify: iters left: 3 (22 enodes) 1540201909.084 * * [misc]simplify: iters left: 2 (34 enodes) 1540201909.093 * * [misc]simplify: iters left: 1 (42 enodes) 1540201909.102 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540201909.102 * [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))))))) 1540201909.102 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201909.102 * * [misc]simplify: iters left: 6 (15 enodes) 1540201909.108 * * [misc]simplify: iters left: 5 (21 enodes) 1540201909.114 * * [misc]simplify: iters left: 4 (25 enodes) 1540201909.121 * * [misc]simplify: iters left: 3 (27 enodes) 1540201909.128 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540201909.128 * [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)))))) 1540201909.128 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1540201909.129 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540201909.129 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.132 * * [misc]simplify: iters left: 5 (17 enodes) 1540201909.136 * * [misc]simplify: iters left: 4 (20 enodes) 1540201909.142 * * [misc]simplify: iters left: 3 (22 enodes) 1540201909.148 * * [misc]simplify: iters left: 2 (34 enodes) 1540201909.157 * * [misc]simplify: iters left: 1 (42 enodes) 1540201909.166 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540201909.166 * [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))))))) 1540201909.167 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540201909.167 * * [misc]simplify: iters left: 6 (15 enodes) 1540201909.171 * * [misc]simplify: iters left: 5 (21 enodes) 1540201909.178 * * [misc]simplify: iters left: 4 (25 enodes) 1540201909.184 * * [misc]simplify: iters left: 3 (27 enodes) 1540201909.191 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540201909.191 * [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)))))) 1540201909.191 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1540201909.192 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201909.192 * * [misc]simplify: iters left: 6 (12 enodes) 1540201909.193 * * [misc]simplify: iters left: 5 (18 enodes) 1540201909.196 * * [misc]simplify: iters left: 4 (24 enodes) 1540201909.199 * * [misc]simplify: iters left: 3 (32 enodes) 1540201909.203 * * [misc]simplify: iters left: 2 (41 enodes) 1540201909.208 * * [misc]simplify: iters left: 1 (51 enodes) 1540201909.215 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540201909.215 * [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))))))) 1540201909.216 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201909.216 * * [misc]simplify: iters left: 6 (12 enodes) 1540201909.219 * * [misc]simplify: iters left: 5 (16 enodes) 1540201909.224 * * [misc]simplify: iters left: 4 (22 enodes) 1540201909.230 * * [misc]simplify: iters left: 3 (24 enodes) 1540201909.238 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540201909.238 * [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)))))) 1540201909.238 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1540201909.238 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201909.239 * * [misc]simplify: iters left: 6 (15 enodes) 1540201909.243 * * [misc]simplify: iters left: 5 (24 enodes) 1540201909.250 * * [misc]simplify: iters left: 4 (32 enodes) 1540201909.259 * * [misc]simplify: iters left: 3 (43 enodes) 1540201909.272 * * [misc]simplify: iters left: 2 (69 enodes) 1540201909.295 * * [misc]simplify: iters left: 1 (119 enodes) 1540201909.352 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201909.352 * [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)))))))) 1540201909.352 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201909.352 * * [misc]simplify: iters left: 6 (15 enodes) 1540201909.357 * * [misc]simplify: iters left: 5 (20 enodes) 1540201909.363 * * [misc]simplify: iters left: 4 (26 enodes) 1540201909.368 * * [misc]simplify: iters left: 3 (28 enodes) 1540201909.373 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201909.373 * [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))))))) 1540201909.373 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1540201909.373 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201909.373 * * [misc]simplify: iters left: 6 (14 enodes) 1540201909.375 * * [misc]simplify: iters left: 5 (21 enodes) 1540201909.378 * * [misc]simplify: iters left: 4 (27 enodes) 1540201909.382 * * [misc]simplify: iters left: 3 (35 enodes) 1540201909.387 * * [misc]simplify: iters left: 2 (43 enodes) 1540201909.392 * * [misc]simplify: iters left: 1 (56 enodes) 1540201909.399 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201909.399 * [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)))))))) 1540201909.399 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201909.399 * * [misc]simplify: iters left: 6 (15 enodes) 1540201909.401 * * [misc]simplify: iters left: 5 (20 enodes) 1540201909.404 * * [misc]simplify: iters left: 4 (26 enodes) 1540201909.407 * * [misc]simplify: iters left: 3 (28 enodes) 1540201909.411 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201909.411 * [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))))))) 1540201909.411 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1540201909.411 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1540201909.411 * * [misc]simplify: iters left: 6 (6 enodes) 1540201909.412 * * [misc]simplify: iters left: 5 (10 enodes) 1540201909.413 * * [misc]simplify: iters left: 4 (16 enodes) 1540201909.415 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540201909.415 * [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))))))) 1540201909.416 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.416 * * [misc]simplify: iters left: 6 (14 enodes) 1540201909.419 * * [misc]simplify: iters left: 5 (19 enodes) 1540201909.425 * * [misc]simplify: iters left: 4 (25 enodes) 1540201909.432 * * [misc]simplify: iters left: 3 (27 enodes) 1540201909.439 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540201909.439 * [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)))))) 1540201909.440 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1540201909.440 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540201909.440 * * [misc]simplify: iters left: 6 (8 enodes) 1540201909.443 * * [misc]simplify: iters left: 5 (14 enodes) 1540201909.446 * * [misc]simplify: iters left: 4 (15 enodes) 1540201909.449 * * [misc]simplify: iters left: 3 (19 enodes) 1540201909.451 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540201909.451 * [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))))))) 1540201909.451 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201909.451 * * [misc]simplify: iters left: 6 (14 enodes) 1540201909.453 * * [misc]simplify: iters left: 5 (20 enodes) 1540201909.456 * * [misc]simplify: iters left: 4 (24 enodes) 1540201909.459 * * [misc]simplify: iters left: 3 (26 enodes) 1540201909.463 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540201909.463 * [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)))) 1540201909.463 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1540201909.463 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540201909.463 * * [misc]simplify: iters left: 6 (8 enodes) 1540201909.465 * * [misc]simplify: iters left: 5 (14 enodes) 1540201909.466 * * [misc]simplify: iters left: 4 (15 enodes) 1540201909.468 * * [misc]simplify: iters left: 3 (19 enodes) 1540201909.470 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540201909.470 * [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))))))) 1540201909.470 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540201909.470 * * [misc]simplify: iters left: 6 (14 enodes) 1540201909.472 * * [misc]simplify: iters left: 5 (20 enodes) 1540201909.475 * * [misc]simplify: iters left: 4 (24 enodes) 1540201909.480 * * [misc]simplify: iters left: 3 (26 enodes) 1540201909.487 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540201909.487 * [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)))) 1540201909.487 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1540201909.488 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201909.488 * * [misc]simplify: iters left: 6 (10 enodes) 1540201909.491 * * [misc]simplify: iters left: 5 (16 enodes) 1540201909.496 * * [misc]simplify: iters left: 4 (20 enodes) 1540201909.501 * * [misc]simplify: iters left: 3 (24 enodes) 1540201909.506 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540201909.507 * [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))))))) 1540201909.507 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201909.507 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.510 * * [misc]simplify: iters left: 5 (15 enodes) 1540201909.515 * * [misc]simplify: iters left: 4 (21 enodes) 1540201909.520 * * [misc]simplify: iters left: 3 (23 enodes) 1540201909.527 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201909.527 * [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))))))) 1540201909.527 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1540201909.527 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540201909.527 * * [misc]simplify: iters left: 6 (13 enodes) 1540201909.533 * * [misc]simplify: iters left: 5 (22 enodes) 1540201909.538 * * [misc]simplify: iters left: 4 (26 enodes) 1540201909.546 * * [misc]simplify: iters left: 3 (32 enodes) 1540201909.550 * * [misc]simplify: iters left: 2 (34 enodes) 1540201909.554 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540201909.554 * [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)))))))) 1540201909.554 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201909.554 * * [misc]simplify: iters left: 6 (14 enodes) 1540201909.556 * * [misc]simplify: iters left: 5 (19 enodes) 1540201909.559 * * [misc]simplify: iters left: 4 (25 enodes) 1540201909.562 * * [misc]simplify: iters left: 3 (27 enodes) 1540201909.565 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.565 * [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))))))) 1540201909.565 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1540201909.566 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201909.566 * * [misc]simplify: iters left: 6 (12 enodes) 1540201909.568 * * [misc]simplify: iters left: 5 (19 enodes) 1540201909.571 * * [misc]simplify: iters left: 4 (23 enodes) 1540201909.575 * * [misc]simplify: iters left: 3 (27 enodes) 1540201909.578 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540201909.578 * [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)))))))) 1540201909.578 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201909.578 * * [misc]simplify: iters left: 6 (14 enodes) 1540201909.580 * * [misc]simplify: iters left: 5 (19 enodes) 1540201909.583 * * [misc]simplify: iters left: 4 (25 enodes) 1540201909.586 * * [misc]simplify: iters left: 3 (27 enodes) 1540201909.592 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.592 * [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))))))) 1540201909.592 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1540201909.592 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540201909.592 * * [misc]simplify: iters left: 4 (3 enodes) 1540201909.593 * * [misc]simplify: iters left: 3 (5 enodes) 1540201909.594 * [exit]simplify: Simplified to 1 1540201909.594 * [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))))))) 1540201909.594 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.595 * * [misc]simplify: iters left: 6 (13 enodes) 1540201909.598 * * [misc]simplify: iters left: 5 (18 enodes) 1540201909.603 * * [misc]simplify: iters left: 4 (24 enodes) 1540201909.610 * * [misc]simplify: iters left: 3 (26 enodes) 1540201909.617 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540201909.617 * [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)))) 1540201909.617 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1540201909.617 * [enter]simplify: Simplifying (/ 1 1) 1540201909.617 * * [misc]simplify: iters left: 2 (2 enodes) 1540201909.618 * * [misc]simplify: iters left: 1 (4 enodes) 1540201909.619 * [exit]simplify: Simplified to 1 1540201909.619 * [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))))))) 1540201909.619 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.619 * * [misc]simplify: iters left: 6 (13 enodes) 1540201909.623 * * [misc]simplify: iters left: 5 (18 enodes) 1540201909.629 * * [misc]simplify: iters left: 4 (24 enodes) 1540201909.636 * * [misc]simplify: iters left: 3 (26 enodes) 1540201909.642 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540201909.642 * [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)))) 1540201909.642 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1540201909.643 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540201909.643 * * [misc]simplify: iters left: 3 (4 enodes) 1540201909.644 * * [misc]simplify: iters left: 2 (6 enodes) 1540201909.646 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540201909.646 * [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))))))) 1540201909.646 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.646 * * [misc]simplify: iters left: 6 (13 enodes) 1540201909.650 * * [misc]simplify: iters left: 5 (20 enodes) 1540201909.655 * * [misc]simplify: iters left: 4 (26 enodes) 1540201909.663 * * [misc]simplify: iters left: 3 (36 enodes) 1540201909.667 * * [misc]simplify: iters left: 2 (38 enodes) 1540201909.671 * * [misc]simplify: iters left: 1 (43 enodes) 1540201909.675 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1540201909.675 * [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)))))) 1540201909.675 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1540201909.676 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1540201909.676 * * [misc]simplify: iters left: 6 (10 enodes) 1540201909.677 * * [misc]simplify: iters left: 5 (16 enodes) 1540201909.679 * * [misc]simplify: iters left: 4 (19 enodes) 1540201909.681 * * [misc]simplify: iters left: 3 (21 enodes) 1540201909.685 * * [misc]simplify: iters left: 2 (33 enodes) 1540201909.689 * * [misc]simplify: iters left: 1 (41 enodes) 1540201909.694 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1540201909.694 * [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))))) 1540201909.694 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1540201909.694 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.695 * * [misc]simplify: iters left: 5 (14 enodes) 1540201909.697 * * [misc]simplify: iters left: 4 (17 enodes) 1540201909.700 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1540201909.700 * [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))))) 1540201909.700 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1540201909.700 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1540201909.700 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1540201909.700 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1540201909.700 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.700 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.704 * * [misc]simplify: iters left: 5 (14 enodes) 1540201909.708 * * [misc]simplify: iters left: 4 (17 enodes) 1540201909.712 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.712 * [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))))))) 1540201909.712 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1540201909.713 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.713 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.716 * * [misc]simplify: iters left: 5 (14 enodes) 1540201909.720 * * [misc]simplify: iters left: 4 (17 enodes) 1540201909.725 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.725 * [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))))))) 1540201909.725 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1540201909.725 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540201909.725 * * [misc]simplify: iters left: 6 (10 enodes) 1540201909.728 * * [misc]simplify: iters left: 5 (13 enodes) 1540201909.732 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201909.732 * [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))))) 1540201909.732 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1540201909.732 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540201909.732 * * [misc]simplify: iters left: 6 (10 enodes) 1540201909.735 * * [misc]simplify: iters left: 5 (13 enodes) 1540201909.739 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201909.739 * [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))))) 1540201909.739 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1540201909.740 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201909.740 * * [misc]simplify: iters left: 6 (9 enodes) 1540201909.742 * * [misc]simplify: iters left: 5 (11 enodes) 1540201909.746 * * [misc]simplify: iters left: 4 (14 enodes) 1540201909.750 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201909.750 * [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)))))) 1540201909.750 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1540201909.750 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.750 * * [misc]simplify: iters left: 6 (12 enodes) 1540201909.754 * * [misc]simplify: iters left: 5 (15 enodes) 1540201909.758 * * [misc]simplify: iters left: 4 (18 enodes) 1540201909.761 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.761 * [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))))))) 1540201909.761 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1540201909.761 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.761 * * [misc]simplify: iters left: 6 (12 enodes) 1540201909.763 * * [misc]simplify: iters left: 5 (15 enodes) 1540201909.765 * * [misc]simplify: iters left: 4 (18 enodes) 1540201909.767 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.768 * [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))))))) 1540201909.768 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1540201909.768 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201909.768 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.769 * * [misc]simplify: iters left: 5 (14 enodes) 1540201909.771 * * [misc]simplify: iters left: 4 (17 enodes) 1540201909.773 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201909.773 * [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)))))) 1540201909.773 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1540201909.774 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540201909.774 * * [misc]simplify: iters left: 6 (10 enodes) 1540201909.775 * * [misc]simplify: iters left: 5 (13 enodes) 1540201909.777 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201909.777 * [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))))) 1540201909.777 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1540201909.777 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540201909.777 * * [misc]simplify: iters left: 6 (10 enodes) 1540201909.778 * * [misc]simplify: iters left: 5 (13 enodes) 1540201909.781 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540201909.781 * [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))))) 1540201909.781 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1540201909.781 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201909.782 * * [misc]simplify: iters left: 6 (9 enodes) 1540201909.785 * * [misc]simplify: iters left: 5 (11 enodes) 1540201909.788 * * [misc]simplify: iters left: 4 (14 enodes) 1540201909.793 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201909.793 * [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)))))) 1540201909.793 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1540201909.793 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.793 * * [misc]simplify: iters left: 6 (12 enodes) 1540201909.797 * * [misc]simplify: iters left: 5 (15 enodes) 1540201909.800 * * [misc]simplify: iters left: 4 (18 enodes) 1540201909.802 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.802 * [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))))))) 1540201909.803 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1540201909.803 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.803 * * [misc]simplify: iters left: 6 (12 enodes) 1540201909.804 * * [misc]simplify: iters left: 5 (15 enodes) 1540201909.806 * * [misc]simplify: iters left: 4 (18 enodes) 1540201909.809 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.809 * [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))))))) 1540201909.809 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1540201909.809 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201909.809 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.810 * * [misc]simplify: iters left: 5 (14 enodes) 1540201909.812 * * [misc]simplify: iters left: 4 (17 enodes) 1540201909.814 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201909.814 * [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)))))) 1540201909.814 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1540201909.815 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540201909.815 * * [misc]simplify: iters left: 6 (9 enodes) 1540201909.816 * * [misc]simplify: iters left: 5 (12 enodes) 1540201909.818 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540201909.818 * [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))))) 1540201909.818 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1540201909.818 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540201909.818 * * [misc]simplify: iters left: 6 (9 enodes) 1540201909.819 * * [misc]simplify: iters left: 5 (12 enodes) 1540201909.821 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540201909.821 * [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))))) 1540201909.821 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1540201909.821 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540201909.821 * * [misc]simplify: iters left: 6 (8 enodes) 1540201909.822 * * [misc]simplify: iters left: 5 (10 enodes) 1540201909.823 * * [misc]simplify: iters left: 4 (13 enodes) 1540201909.825 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540201909.825 * [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)))))) 1540201909.825 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1540201909.825 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.825 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.827 * * [misc]simplify: iters left: 5 (14 enodes) 1540201909.831 * * [misc]simplify: iters left: 4 (17 enodes) 1540201909.836 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.836 * [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))))))) 1540201909.836 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1540201909.836 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.836 * * [misc]simplify: iters left: 6 (11 enodes) 1540201909.839 * * [misc]simplify: iters left: 5 (14 enodes) 1540201909.843 * * [misc]simplify: iters left: 4 (17 enodes) 1540201909.848 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.848 * [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))))))) 1540201909.848 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1540201909.849 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201909.849 * * [misc]simplify: iters left: 6 (10 enodes) 1540201909.852 * * [misc]simplify: iters left: 5 (13 enodes) 1540201909.855 * * [misc]simplify: iters left: 4 (16 enodes) 1540201909.860 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201909.860 * [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)))))) 1540201909.860 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1540201909.860 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201909.860 * * [misc]simplify: iters left: 6 (10 enodes) 1540201909.863 * * [misc]simplify: iters left: 5 (13 enodes) 1540201909.867 * * [misc]simplify: iters left: 4 (16 enodes) 1540201909.871 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540201909.871 * [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)))))) 1540201909.871 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1540201909.872 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1540201909.872 * * [misc]simplify: iters left: 6 (10 enodes) 1540201909.875 * * [misc]simplify: iters left: 5 (15 enodes) 1540201909.879 * * [misc]simplify: iters left: 4 (18 enodes) 1540201909.884 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1540201909.884 * [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)))))) 1540201909.884 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1540201909.885 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540201909.885 * * [misc]simplify: iters left: 3 (6 enodes) 1540201909.886 * * [misc]simplify: iters left: 2 (7 enodes) 1540201909.888 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540201909.888 * [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)))) 1540201909.888 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1540201909.889 * [enter]simplify: Simplifying (pow PI 1/2) 1540201909.889 * * [misc]simplify: iters left: 1 (3 enodes) 1540201909.890 * [exit]simplify: Simplified to (sqrt PI) 1540201909.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1540201909.890 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1540201909.890 * [enter]simplify: Simplifying (pow PI 1/2) 1540201909.890 * * [misc]simplify: iters left: 1 (3 enodes) 1540201909.891 * [exit]simplify: Simplified to (sqrt PI) 1540201909.891 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1540201909.891 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1540201909.891 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201909.891 * * [misc]simplify: iters left: 6 (9 enodes) 1540201909.894 * * [misc]simplify: iters left: 5 (11 enodes) 1540201909.897 * * [misc]simplify: iters left: 4 (14 enodes) 1540201909.901 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201909.901 * [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))))))) 1540201909.901 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1540201909.902 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1540201909.902 * * [misc]simplify: iters left: 6 (8 enodes) 1540201909.904 * * [misc]simplify: iters left: 5 (10 enodes) 1540201909.907 * * [misc]simplify: iters left: 4 (13 enodes) 1540201909.912 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540201909.912 * [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))))))) 1540201909.912 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1540201909.912 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1540201909.912 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540201909.912 * * [misc]simplify: iters left: 5 (8 enodes) 1540201909.915 * * [misc]simplify: iters left: 4 (11 enodes) 1540201909.918 * * [misc]simplify: iters left: 3 (14 enodes) 1540201909.922 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540201909.922 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540201909.922 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1540201909.922 * [enter]simplify: Simplifying (pow PI 1/2) 1540201909.922 * * [misc]simplify: iters left: 1 (3 enodes) 1540201909.923 * [exit]simplify: Simplified to (sqrt PI) 1540201909.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1540201909.923 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1540201909.923 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1540201909.923 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1540201909.923 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1540201909.924 * * [misc]simplify: iters left: 6 (9 enodes) 1540201909.927 * * [misc]simplify: iters left: 5 (16 enodes) 1540201909.932 * * [misc]simplify: iters left: 4 (32 enodes) 1540201909.938 * * [misc]simplify: iters left: 3 (72 enodes) 1540201909.957 * * [misc]simplify: iters left: 2 (195 enodes) 1540201910.038 * * [misc]simplify: iters left: 1 (418 enodes) 1540201910.220 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1540201910.220 * [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))))))) 1540201910.220 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1540201910.220 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1540201910.221 * [enter]simplify: Simplifying (* n 2) 1540201910.221 * * [misc]simplify: iters left: 2 (3 enodes) 1540201910.221 * * [misc]simplify: iters left: 1 (4 enodes) 1540201910.222 * [exit]simplify: Simplified to (* n 2) 1540201910.222 * [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))))))) 1540201910.222 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1540201910.222 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540201910.222 * * [misc]simplify: iters left: 3 (6 enodes) 1540201910.223 * * [misc]simplify: iters left: 2 (7 enodes) 1540201910.224 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540201910.224 * [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)))))) 1540201910.224 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1540201910.224 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540201910.224 * * [misc]simplify: iters left: 5 (6 enodes) 1540201910.225 * * [misc]simplify: iters left: 4 (8 enodes) 1540201910.226 * * [misc]simplify: iters left: 3 (11 enodes) 1540201910.227 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540201910.227 * [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))))))) 1540201910.227 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1540201910.227 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540201910.227 * * [misc]simplify: iters left: 5 (6 enodes) 1540201910.228 * * [misc]simplify: iters left: 4 (8 enodes) 1540201910.229 * * [misc]simplify: iters left: 3 (11 enodes) 1540201910.231 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540201910.231 * [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))))))) 1540201910.231 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1540201910.231 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540201910.231 * * [misc]simplify: iters left: 4 (5 enodes) 1540201910.232 * * [misc]simplify: iters left: 3 (7 enodes) 1540201910.233 * * [misc]simplify: iters left: 2 (10 enodes) 1540201910.234 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540201910.234 * [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)))))) 1540201910.234 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1540201910.234 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540201910.234 * * [misc]simplify: iters left: 5 (7 enodes) 1540201910.235 * * [misc]simplify: iters left: 4 (10 enodes) 1540201910.237 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540201910.237 * [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))))))) 1540201910.237 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1540201910.237 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540201910.237 * * [misc]simplify: iters left: 5 (7 enodes) 1540201910.238 * * [misc]simplify: iters left: 4 (10 enodes) 1540201910.239 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540201910.239 * [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))))))) 1540201910.239 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1540201910.239 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540201910.239 * * [misc]simplify: iters left: 5 (7 enodes) 1540201910.240 * * [misc]simplify: iters left: 4 (9 enodes) 1540201910.242 * * [misc]simplify: iters left: 3 (12 enodes) 1540201910.243 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540201910.243 * [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))))))) 1540201910.243 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1540201910.243 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1540201910.243 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1540201910.243 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1540201910.243 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1540201910.243 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1540201910.243 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1540201910.244 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1540201910.244 * [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)))) 1540201910.244 * * [misc]simplify: iters left: 6 (18 enodes) 1540201910.250 * * [misc]simplify: iters left: 5 (39 enodes) 1540201910.265 * * [misc]simplify: iters left: 4 (110 enodes) 1540201910.316 * * [misc]simplify: iters left: 3 (321 enodes) 1540201910.508 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1540201910.508 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201910.508 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1540201910.508 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540201910.509 * * [misc]simplify: iters left: 5 (6 enodes) 1540201910.509 * * [misc]simplify: iters left: 4 (9 enodes) 1540201910.511 * * [misc]simplify: iters left: 3 (17 enodes) 1540201910.513 * * [misc]simplify: iters left: 2 (24 enodes) 1540201910.516 * * [misc]simplify: iters left: 1 (28 enodes) 1540201910.522 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1540201910.522 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201910.522 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1540201910.522 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540201910.522 * * [misc]simplify: iters left: 5 (6 enodes) 1540201910.524 * * [misc]simplify: iters left: 4 (9 enodes) 1540201910.527 * * [misc]simplify: iters left: 3 (17 enodes) 1540201910.531 * * [misc]simplify: iters left: 2 (24 enodes) 1540201910.537 * * [misc]simplify: iters left: 1 (28 enodes) 1540201910.549 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1540201910.549 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540201910.549 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1540201910.549 * [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)))))))))))) 1540201910.549 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1540201910.550 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1540201910.550 * [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))))))))))) 1540201910.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1540201910.550 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1540201910.550 * [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))))))))) 1540201910.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1540201910.550 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1540201910.551 * [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))))))))))))))) 1540201910.551 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540201910.551 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1540201910.551 * [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)))))))) 1540201910.551 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540201910.551 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1540201910.551 * [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)))))))) 1540201910.551 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540201910.551 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1540201910.552 * [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))))) 1540201910.552 * * [misc]simplify: iters left: 6 (35 enodes) 1540201910.563 * * [misc]simplify: iters left: 5 (102 enodes) 1540201910.588 * * [misc]simplify: iters left: 4 (321 enodes) 1540201910.818 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1540201910.818 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1540201910.819 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1540201910.819 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1540201910.819 * * [misc]simplify: iters left: 6 (13 enodes) 1540201910.824 * * [misc]simplify: iters left: 5 (27 enodes) 1540201910.830 * * [misc]simplify: iters left: 4 (53 enodes) 1540201910.840 * * [misc]simplify: iters left: 3 (124 enodes) 1540201910.884 * * [misc]simplify: iters left: 2 (394 enodes) 1540201911.341 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1540201911.341 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1540201911.341 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1540201911.341 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1540201911.341 * * [misc]simplify: iters left: 6 (13 enodes) 1540201911.344 * * [misc]simplify: iters left: 5 (24 enodes) 1540201911.348 * * [misc]simplify: iters left: 4 (54 enodes) 1540201911.365 * * [misc]simplify: iters left: 3 (151 enodes) 1540201911.437 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1540201911.437 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1540201911.437 * * * [misc]progress: adding candidates to table 1540201914.681 * * [misc]progress: iteration 3 / 4 1540201914.681 * * * [misc]progress: picking best candidate 1540201914.698 * * * * [misc]pick: Picked # 1540201914.698 * * * [misc]progress: localizing error 1540201914.784 * * * [misc]progress: generating rewritten candidates 1540201914.785 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1540201914.785 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) 1540201914.802 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1540201914.849 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1540201914.861 * * * [misc]progress: generating series expansions 1540201914.861 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1540201914.861 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) 1540201914.861 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) 1540201914.861 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0 1540201914.861 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540201914.861 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1540201914.862 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540201914.862 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540201914.862 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540201914.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201914.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201914.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201914.862 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201914.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201914.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201914.862 * [misc]taylor: Taking taylor expansion of k in k 1540201914.862 * [misc]backup-simplify: Simplify 0 into 0 1540201914.862 * [misc]backup-simplify: Simplify 1 into 1 1540201914.862 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201914.862 * [misc]taylor: Taking taylor expansion of 2 in k 1540201914.862 * [misc]backup-simplify: Simplify 2 into 2 1540201914.862 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201914.863 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201914.863 * [misc]backup-simplify: Simplify (- 0) into 0 1540201914.863 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201914.863 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201914.864 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540201914.865 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1540201914.865 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201914.865 * [misc]taylor: Taking taylor expansion of k in k 1540201914.865 * [misc]backup-simplify: Simplify 0 into 0 1540201914.865 * [misc]backup-simplify: Simplify 1 into 1 1540201914.865 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201914.865 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201914.865 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540201914.866 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1540201914.866 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540201914.866 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540201914.866 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540201914.866 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201914.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201914.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201914.866 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201914.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201914.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201914.866 * [misc]taylor: Taking taylor expansion of k in k 1540201914.866 * [misc]backup-simplify: Simplify 0 into 0 1540201914.866 * [misc]backup-simplify: Simplify 1 into 1 1540201914.866 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201914.866 * [misc]taylor: Taking taylor expansion of 2 in k 1540201914.866 * [misc]backup-simplify: Simplify 2 into 2 1540201914.866 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201914.866 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201914.866 * [misc]backup-simplify: Simplify (- 0) into 0 1540201914.867 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201914.867 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201914.867 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540201914.868 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1540201914.868 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201914.868 * [misc]taylor: Taking taylor expansion of k in k 1540201914.868 * [misc]backup-simplify: Simplify 0 into 0 1540201914.868 * [misc]backup-simplify: Simplify 1 into 1 1540201914.868 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201914.869 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201914.869 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 2)) 0) into 0 1540201914.869 * [misc]backup-simplify: Simplify 0 into 0 1540201914.871 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201914.871 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201914.872 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201914.872 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201914.872 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1540201914.875 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1540201914.878 * [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)))) 1540201914.881 * [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))) 1540201914.881 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540201914.882 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201914.887 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201914.887 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201914.887 * [misc]backup-simplify: Simplify (- 0) into 0 1540201914.887 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201914.888 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1540201914.891 * [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))) 1540201914.899 * [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))))) 1540201914.910 * [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))))) 1540201914.913 * [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))))) 1540201914.914 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201914.921 * [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 1540201914.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201914.922 * [misc]backup-simplify: Simplify (- 0) into 0 1540201914.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201914.923 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1540201914.929 * [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))) 1540201914.950 * [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))))) 1540201914.973 * [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))))))))) 1540201914.986 * [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))))))))) 1540201915.004 * [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)))))))))))))))) 1540201915.004 * [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))) 1540201915.004 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0 1540201915.004 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540201915.004 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1540201915.005 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201915.005 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540201915.005 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540201915.005 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201915.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.005 * [misc]taylor: Taking taylor expansion of k in k 1540201915.005 * [misc]backup-simplify: Simplify 0 into 0 1540201915.005 * [misc]backup-simplify: Simplify 1 into 1 1540201915.005 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.005 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.005 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.005 * [misc]backup-simplify: Simplify 2 into 2 1540201915.005 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.005 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.006 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.006 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.006 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540201915.006 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201915.007 * [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)))))) 1540201915.007 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201915.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.007 * [misc]taylor: Taking taylor expansion of k in k 1540201915.007 * [misc]backup-simplify: Simplify 0 into 0 1540201915.007 * [misc]backup-simplify: Simplify 1 into 1 1540201915.007 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.007 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.008 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201915.008 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540201915.008 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1540201915.008 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201915.008 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540201915.008 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540201915.008 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201915.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.008 * [misc]taylor: Taking taylor expansion of k in k 1540201915.008 * [misc]backup-simplify: Simplify 0 into 0 1540201915.008 * [misc]backup-simplify: Simplify 1 into 1 1540201915.009 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.009 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.009 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.009 * [misc]backup-simplify: Simplify 2 into 2 1540201915.009 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.009 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.009 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.009 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.010 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540201915.010 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201915.010 * [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)))))) 1540201915.010 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201915.010 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.010 * [misc]taylor: Taking taylor expansion of k in k 1540201915.010 * [misc]backup-simplify: Simplify 0 into 0 1540201915.010 * [misc]backup-simplify: Simplify 1 into 1 1540201915.011 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.011 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.011 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201915.012 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1540201915.012 * [misc]backup-simplify: Simplify 0 into 0 1540201915.012 * [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 1540201915.013 * [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)))))))) 1540201915.013 * [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)))))))) 1540201915.013 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201915.014 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201915.015 * [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 1540201915.016 * [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)))))))) 1540201915.016 * [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)))))))) 1540201915.017 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.018 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201915.019 * [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 1540201915.020 * [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)))))))) 1540201915.020 * [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)))))))) 1540201915.021 * [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)))))))) 1540201915.021 * [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))) 1540201915.021 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0 1540201915.022 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540201915.022 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201915.022 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201915.022 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.022 * [misc]backup-simplify: Simplify -1 into -1 1540201915.022 * [misc]taylor: Taking taylor expansion of k in k 1540201915.022 * [misc]backup-simplify: Simplify 0 into 0 1540201915.022 * [misc]backup-simplify: Simplify 1 into 1 1540201915.022 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201915.022 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.022 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201915.023 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201915.023 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540201915.023 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540201915.023 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201915.023 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.023 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.023 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.023 * [misc]taylor: Taking taylor expansion of k in k 1540201915.023 * [misc]backup-simplify: Simplify 0 into 0 1540201915.023 * [misc]backup-simplify: Simplify 1 into 1 1540201915.023 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.023 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.023 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.023 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.023 * [misc]backup-simplify: Simplify 2 into 2 1540201915.023 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.023 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.024 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.024 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201915.024 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201915.025 * [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)))) 1540201915.025 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540201915.025 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201915.025 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201915.025 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.025 * [misc]backup-simplify: Simplify -1 into -1 1540201915.025 * [misc]taylor: Taking taylor expansion of k in k 1540201915.025 * [misc]backup-simplify: Simplify 0 into 0 1540201915.025 * [misc]backup-simplify: Simplify 1 into 1 1540201915.025 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201915.025 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.026 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201915.026 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201915.026 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540201915.026 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540201915.026 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201915.026 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.026 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.026 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.026 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.026 * [misc]taylor: Taking taylor expansion of k in k 1540201915.026 * [misc]backup-simplify: Simplify 0 into 0 1540201915.026 * [misc]backup-simplify: Simplify 1 into 1 1540201915.026 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.026 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.026 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.026 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.026 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.026 * [misc]backup-simplify: Simplify 2 into 2 1540201915.026 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.027 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.027 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.027 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201915.027 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201915.028 * [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)))) 1540201915.028 * [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)))) 1540201915.028 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201915.029 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201915.030 * [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)))))) 1540201915.031 * [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)))))) 1540201915.031 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.032 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201915.034 * [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)))))) 1540201915.034 * [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)))))) 1540201915.035 * [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)))))))) 1540201915.035 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1540201915.036 * [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))) 1540201915.036 * [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 1540201915.036 * [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 1540201915.036 * [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 1540201915.036 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540201915.036 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540201915.036 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540201915.036 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201915.036 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.037 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201915.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.037 * [misc]taylor: Taking taylor expansion of k in k 1540201915.037 * [misc]backup-simplify: Simplify 0 into 0 1540201915.037 * [misc]backup-simplify: Simplify 1 into 1 1540201915.037 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201915.037 * [misc]taylor: Taking taylor expansion of n in k 1540201915.037 * [misc]backup-simplify: Simplify n into n 1540201915.037 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201915.037 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201915.037 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.037 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.037 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540201915.037 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540201915.037 * [misc]taylor: Taking taylor expansion of (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in k 1540201915.038 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 k))) in k 1540201915.038 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log PI))) in k 1540201915.038 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log PI)) in k 1540201915.038 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1540201915.038 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201915.038 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.038 * [misc]taylor: Taking taylor expansion of k in k 1540201915.038 * [misc]backup-simplify: Simplify 0 into 0 1540201915.038 * [misc]backup-simplify: Simplify 1 into 1 1540201915.038 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201915.038 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.038 * [misc]backup-simplify: Simplify PI into PI 1540201915.038 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.038 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201915.038 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.039 * [misc]backup-simplify: Simplify (* 0 (log PI)) into 0 1540201915.039 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.041 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201915.042 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201915.042 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.043 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540201915.043 * [misc]backup-simplify: Simplify (exp 0) into 1 1540201915.043 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540201915.043 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540201915.043 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540201915.043 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201915.043 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.043 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201915.043 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.043 * [misc]taylor: Taking taylor expansion of k in k 1540201915.043 * [misc]backup-simplify: Simplify 0 into 0 1540201915.043 * [misc]backup-simplify: Simplify 1 into 1 1540201915.043 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.043 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.043 * [misc]backup-simplify: Simplify 2 into 2 1540201915.043 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.043 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201915.044 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.044 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.044 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201915.045 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540201915.045 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1540201915.045 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1540201915.045 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.045 * [misc]backup-simplify: Simplify PI into PI 1540201915.045 * [misc]taylor: Taking taylor expansion of k in k 1540201915.045 * [misc]backup-simplify: Simplify 0 into 0 1540201915.045 * [misc]backup-simplify: Simplify 1 into 1 1540201915.045 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201915.045 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.046 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201915.046 * [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 1540201915.046 * [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 1540201915.046 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540201915.046 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540201915.046 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540201915.046 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201915.046 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.046 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201915.046 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.046 * [misc]taylor: Taking taylor expansion of k in n 1540201915.046 * [misc]backup-simplify: Simplify k into k 1540201915.046 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201915.046 * [misc]taylor: Taking taylor expansion of n in n 1540201915.046 * [misc]backup-simplify: Simplify 0 into 0 1540201915.046 * [misc]backup-simplify: Simplify 1 into 1 1540201915.046 * [misc]backup-simplify: Simplify (log 1) into 0 1540201915.046 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201915.046 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.047 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201915.047 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201915.047 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540201915.047 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540201915.047 * [misc]taylor: Taking taylor expansion of (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1540201915.047 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 k))) in n 1540201915.047 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log PI))) in n 1540201915.047 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log PI)) in n 1540201915.047 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1540201915.047 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201915.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.047 * [misc]taylor: Taking taylor expansion of k in n 1540201915.047 * [misc]backup-simplify: Simplify k into k 1540201915.047 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201915.047 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.047 * [misc]backup-simplify: Simplify PI into PI 1540201915.048 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.048 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201915.048 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.048 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (log PI)) into (* -1/2 (* (log PI) k)) 1540201915.048 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (log PI) k))) into (exp (* -1/2 (* (log PI) k))) 1540201915.048 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1540201915.048 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1540201915.048 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1540201915.048 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201915.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.048 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201915.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.048 * [misc]taylor: Taking taylor expansion of k in n 1540201915.048 * [misc]backup-simplify: Simplify k into k 1540201915.048 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201915.049 * [misc]taylor: Taking taylor expansion of 2 in n 1540201915.049 * [misc]backup-simplify: Simplify 2 into 2 1540201915.049 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.049 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201915.049 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.049 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201915.049 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1540201915.049 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1540201915.049 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in n 1540201915.049 * [misc]taylor: Taking taylor expansion of (/ PI k) in n 1540201915.049 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.049 * [misc]backup-simplify: Simplify PI into PI 1540201915.049 * [misc]taylor: Taking taylor expansion of k in n 1540201915.049 * [misc]backup-simplify: Simplify k into k 1540201915.049 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540201915.049 * [misc]backup-simplify: Simplify (sqrt (/ PI k)) into (sqrt (/ PI k)) 1540201915.049 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540201915.049 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ PI k)))) into 0 1540201915.049 * [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 1540201915.049 * [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 1540201915.050 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.050 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.050 * [misc]taylor: Taking taylor expansion of k in n 1540201915.050 * [misc]backup-simplify: Simplify k into k 1540201915.050 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of n in n 1540201915.050 * [misc]backup-simplify: Simplify 0 into 0 1540201915.050 * [misc]backup-simplify: Simplify 1 into 1 1540201915.050 * [misc]backup-simplify: Simplify (log 1) into 0 1540201915.050 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201915.050 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.050 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201915.050 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201915.050 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540201915.050 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540201915.050 * [misc]taylor: Taking taylor expansion of (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 k))) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log PI))) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log PI)) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.050 * [misc]taylor: Taking taylor expansion of k in n 1540201915.050 * [misc]backup-simplify: Simplify k into k 1540201915.050 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201915.050 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.050 * [misc]backup-simplify: Simplify PI into PI 1540201915.051 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.051 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201915.051 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.051 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (log PI)) into (* -1/2 (* (log PI) k)) 1540201915.051 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (log PI) k))) into (exp (* -1/2 (* (log PI) k))) 1540201915.051 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1540201915.051 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1540201915.051 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1540201915.051 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201915.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.051 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201915.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.051 * [misc]taylor: Taking taylor expansion of k in n 1540201915.051 * [misc]backup-simplify: Simplify k into k 1540201915.051 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201915.051 * [misc]taylor: Taking taylor expansion of 2 in n 1540201915.051 * [misc]backup-simplify: Simplify 2 into 2 1540201915.051 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.051 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201915.052 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.052 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201915.052 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1540201915.052 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1540201915.052 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in n 1540201915.052 * [misc]taylor: Taking taylor expansion of (/ PI k) in n 1540201915.052 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.052 * [misc]backup-simplify: Simplify PI into PI 1540201915.052 * [misc]taylor: Taking taylor expansion of k in n 1540201915.052 * [misc]backup-simplify: Simplify k into k 1540201915.052 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540201915.052 * [misc]backup-simplify: Simplify (sqrt (/ PI k)) into (sqrt (/ PI k)) 1540201915.052 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540201915.052 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ PI k)))) into 0 1540201915.053 * [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)))) 1540201915.053 * [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))))) 1540201915.053 * [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))))))) 1540201915.054 * [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 1540201915.054 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1540201915.054 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1540201915.054 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.054 * [misc]backup-simplify: Simplify PI into PI 1540201915.054 * [misc]taylor: Taking taylor expansion of k in k 1540201915.054 * [misc]backup-simplify: Simplify 0 into 0 1540201915.054 * [misc]backup-simplify: Simplify 1 into 1 1540201915.054 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540201915.054 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.054 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201915.054 * [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 1540201915.054 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540201915.054 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540201915.054 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540201915.054 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201915.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.054 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201915.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.054 * [misc]taylor: Taking taylor expansion of k in k 1540201915.054 * [misc]backup-simplify: Simplify 0 into 0 1540201915.054 * [misc]backup-simplify: Simplify 1 into 1 1540201915.054 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201915.054 * [misc]taylor: Taking taylor expansion of n in k 1540201915.054 * [misc]backup-simplify: Simplify n into n 1540201915.055 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201915.055 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201915.055 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.055 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.055 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540201915.055 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540201915.055 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) in k 1540201915.055 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (log PI) k))) in k 1540201915.055 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (log PI) k)) in k 1540201915.055 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540201915.055 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540201915.055 * [misc]taylor: Taking taylor expansion of (* (log PI) k) in k 1540201915.055 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201915.055 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.055 * [misc]backup-simplify: Simplify PI into PI 1540201915.055 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.055 * [misc]taylor: Taking taylor expansion of k in k 1540201915.055 * [misc]backup-simplify: Simplify 0 into 0 1540201915.055 * [misc]backup-simplify: Simplify 1 into 1 1540201915.056 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1540201915.056 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1540201915.057 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201915.058 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1540201915.058 * [misc]backup-simplify: Simplify (+ (* -1/2 (log PI)) (* 0 0)) into (- (* 1/2 (log PI))) 1540201915.058 * [misc]backup-simplify: Simplify (exp 0) into 1 1540201915.058 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 k)))) in k 1540201915.058 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 k))) in k 1540201915.058 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.058 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.058 * [misc]backup-simplify: Simplify 2 into 2 1540201915.058 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.058 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201915.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.058 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201915.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.058 * [misc]taylor: Taking taylor expansion of k in k 1540201915.058 * [misc]backup-simplify: Simplify 0 into 0 1540201915.059 * [misc]backup-simplify: Simplify 1 into 1 1540201915.059 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201915.059 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.059 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.059 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1540201915.059 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540201915.060 * [misc]backup-simplify: Simplify (* 1 (pow 2 1/2)) into (sqrt 2) 1540201915.060 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt n)) 1540201915.060 * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) (sqrt n))) into 0 1540201915.060 * [misc]backup-simplify: Simplify 0 into 0 1540201915.061 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201915.061 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540201915.062 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.062 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.062 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log 2))) into 0 1540201915.063 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.063 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.064 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201915.064 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540201915.064 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.065 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (log PI))) into 0 1540201915.065 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (log PI) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.066 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (log PI) k))) 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) into 0 1540201915.067 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201915.067 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540201915.067 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.067 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201915.068 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1540201915.068 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.069 * [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 1540201915.069 * [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 1540201915.069 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.069 * [misc]backup-simplify: Simplify 0 into 0 1540201915.069 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201915.069 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.070 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.071 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201915.071 * [misc]backup-simplify: Simplify (+ (* (log 2) -1/2) (* 0 1/2)) into (- (* 1/2 (log 2))) 1540201915.074 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1540201915.075 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (log PI)) 1540201915.077 * [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))))) 1540201915.077 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540201915.077 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201915.078 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.078 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1540201915.078 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1540201915.080 * [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)))))) 1540201915.081 * [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)))) 1540201915.081 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (* (sqrt 2) PI) (sqrt n)))) into (- (* +nan.0 (* (* (sqrt 2) PI) (sqrt n)))) 1540201915.081 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.082 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ PI k)))) into 0 1540201915.084 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201915.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540201915.085 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.085 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.085 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1540201915.086 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.086 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.089 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201915.089 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.089 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540201915.089 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.090 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1540201915.091 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (log PI) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.091 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (log PI) k))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k))))))) into 0 1540201915.095 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540201915.096 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540201915.096 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.096 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201915.097 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1540201915.099 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.100 * [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 1540201915.100 * [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 1540201915.100 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.100 * [misc]backup-simplify: Simplify 0 into 0 1540201915.100 * [misc]backup-simplify: Simplify 0 into 0 1540201915.101 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201915.101 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.101 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.105 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201915.105 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1540201915.109 * [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))) 1540201915.113 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201915.114 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 1) (* 0 0))) into 0 1540201915.115 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 (log PI)) (* 0 0))) into 0 1540201915.119 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log PI) 2)) 1540201915.122 * [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)))))) 1540201915.123 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540201915.123 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201915.124 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.124 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.124 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1540201915.124 * [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))) 1540201915.129 * [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)))))))) 1540201915.130 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540201915.131 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540201915.136 * [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)))))))))) 1540201915.138 * [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)))))))))) 1540201915.139 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.139 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ PI k)))) into 0 1540201915.143 * [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 1540201915.143 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540201915.143 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.143 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.144 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1540201915.147 * [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 1540201915.147 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.153 * [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 1540201915.153 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.154 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.154 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540201915.154 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.155 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540201915.158 * [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 1540201915.159 * [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 1540201915.166 * [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 1540201915.166 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540201915.166 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.167 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.167 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201915.167 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 1540201915.170 * [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 1540201915.171 * [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 1540201915.172 * [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 1540201915.172 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.172 * [misc]backup-simplify: Simplify 0 into 0 1540201915.173 * [misc]backup-simplify: Simplify 0 into 0 1540201915.173 * [misc]backup-simplify: Simplify 0 into 0 1540201915.173 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201915.173 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.173 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.178 * [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 1540201915.178 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1540201915.182 * [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))) 1540201915.187 * [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 1540201915.188 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201915.189 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 0)))) into 0 1540201915.192 * [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)) 1540201915.198 * [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))))))) 1540201915.200 * [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 1540201915.200 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201915.200 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.200 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1540201915.201 * [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))) 1540201915.213 * [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))))))))))))) 1540201915.214 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.217 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540201915.240 * [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)))))))))))))))))))))) 1540201915.259 * [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)))))))))))))))))))))) 1540201915.284 * [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)))))))))))))))))))))))))))))))) 1540201915.286 * [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))) 1540201915.287 * [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 1540201915.287 * [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 1540201915.287 * [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 1540201915.287 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201915.287 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540201915.287 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540201915.287 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201915.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.287 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.287 * [misc]taylor: Taking taylor expansion of k in k 1540201915.287 * [misc]backup-simplify: Simplify 0 into 0 1540201915.287 * [misc]backup-simplify: Simplify 1 into 1 1540201915.288 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.288 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.288 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.288 * [misc]backup-simplify: Simplify 2 into 2 1540201915.288 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.288 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.288 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.288 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.289 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540201915.289 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201915.289 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) in k 1540201915.289 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201915.289 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540201915.289 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540201915.289 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201915.289 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.289 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.289 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.289 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.289 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.289 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.289 * [misc]taylor: Taking taylor expansion of k in k 1540201915.289 * [misc]backup-simplify: Simplify 0 into 0 1540201915.289 * [misc]backup-simplify: Simplify 1 into 1 1540201915.290 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.290 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540201915.290 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540201915.290 * [misc]taylor: Taking taylor expansion of n in k 1540201915.290 * [misc]backup-simplify: Simplify n into n 1540201915.290 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540201915.290 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540201915.290 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.290 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.290 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.290 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540201915.291 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201915.291 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 (/ 1 k)))) in k 1540201915.291 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log PI))) in k 1540201915.291 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log PI)) in k 1540201915.291 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1540201915.291 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.291 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.291 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.291 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.291 * [misc]taylor: Taking taylor expansion of k in k 1540201915.291 * [misc]backup-simplify: Simplify 0 into 0 1540201915.291 * [misc]backup-simplify: Simplify 1 into 1 1540201915.291 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.291 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201915.291 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.291 * [misc]backup-simplify: Simplify PI into PI 1540201915.291 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.292 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.292 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.292 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201915.292 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log PI))) into (exp (* -1/2 (/ (log PI) k))) 1540201915.292 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in k 1540201915.292 * [misc]taylor: Taking taylor expansion of (* k PI) in k 1540201915.292 * [misc]taylor: Taking taylor expansion of k in k 1540201915.292 * [misc]backup-simplify: Simplify 0 into 0 1540201915.292 * [misc]backup-simplify: Simplify 1 into 1 1540201915.292 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.292 * [misc]backup-simplify: Simplify PI into PI 1540201915.292 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201915.293 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201915.293 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.293 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201915.293 * [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 1540201915.293 * [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 1540201915.293 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201915.293 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1540201915.293 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1540201915.293 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201915.293 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.293 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.293 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.293 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.293 * [misc]taylor: Taking taylor expansion of k in n 1540201915.293 * [misc]backup-simplify: Simplify k into k 1540201915.293 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.294 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of 2 in n 1540201915.294 * [misc]backup-simplify: Simplify 2 into 2 1540201915.294 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.294 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.294 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.294 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201915.294 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540201915.294 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201915.294 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.294 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.294 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of k in n 1540201915.294 * [misc]backup-simplify: Simplify k into k 1540201915.294 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.294 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201915.294 * [misc]taylor: Taking taylor expansion of n in n 1540201915.295 * [misc]backup-simplify: Simplify 0 into 0 1540201915.295 * [misc]backup-simplify: Simplify 1 into 1 1540201915.295 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.295 * [misc]backup-simplify: Simplify (log 1) into 0 1540201915.295 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.295 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.295 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201915.295 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.295 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201915.295 * [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)))) 1540201915.295 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 (/ 1 k)))) in n 1540201915.295 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log PI))) in n 1540201915.295 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log PI)) in n 1540201915.295 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1540201915.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.295 * [misc]taylor: Taking taylor expansion of k in n 1540201915.295 * [misc]backup-simplify: Simplify k into k 1540201915.295 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.295 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201915.295 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.296 * [misc]backup-simplify: Simplify PI into PI 1540201915.296 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.296 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.296 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.296 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (log PI)) into (* -1/2 (/ (log PI) k)) 1540201915.296 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log PI) k))) into (exp (* -1/2 (/ (log PI) k))) 1540201915.296 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in n 1540201915.296 * [misc]taylor: Taking taylor expansion of (* k PI) in n 1540201915.296 * [misc]taylor: Taking taylor expansion of k in n 1540201915.296 * [misc]backup-simplify: Simplify k into k 1540201915.296 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.296 * [misc]backup-simplify: Simplify PI into PI 1540201915.296 * [misc]backup-simplify: Simplify (* k PI) into (* PI k) 1540201915.296 * [misc]backup-simplify: Simplify (sqrt (* PI k)) into (sqrt (* PI k)) 1540201915.297 * [misc]backup-simplify: Simplify (+ (* k 0) (* 0 PI)) into 0 1540201915.297 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* PI k)))) into 0 1540201915.297 * [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 1540201915.297 * [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 1540201915.297 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201915.297 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1540201915.297 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1540201915.297 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201915.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.297 * [misc]taylor: Taking taylor expansion of k in n 1540201915.297 * [misc]backup-simplify: Simplify k into k 1540201915.297 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.297 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201915.297 * [misc]taylor: Taking taylor expansion of 2 in n 1540201915.297 * [misc]backup-simplify: Simplify 2 into 2 1540201915.297 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.297 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.297 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.297 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201915.297 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540201915.298 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201915.298 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) in n 1540201915.298 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201915.298 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201915.298 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201915.298 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201915.298 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.298 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.298 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.298 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.298 * [misc]taylor: Taking taylor expansion of k in n 1540201915.298 * [misc]backup-simplify: Simplify k into k 1540201915.298 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.298 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201915.298 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201915.298 * [misc]taylor: Taking taylor expansion of n in n 1540201915.298 * [misc]backup-simplify: Simplify 0 into 0 1540201915.298 * [misc]backup-simplify: Simplify 1 into 1 1540201915.298 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.298 * [misc]backup-simplify: Simplify (log 1) into 0 1540201915.298 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.298 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.298 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201915.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.299 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201915.299 * [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)))) 1540201915.299 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 (/ 1 k)))) in n 1540201915.299 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log PI))) in n 1540201915.299 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log PI)) in n 1540201915.299 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1540201915.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.299 * [misc]taylor: Taking taylor expansion of k in n 1540201915.299 * [misc]backup-simplify: Simplify k into k 1540201915.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.299 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201915.299 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.299 * [misc]backup-simplify: Simplify PI into PI 1540201915.299 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.299 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.299 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.299 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (log PI)) into (* -1/2 (/ (log PI) k)) 1540201915.300 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log PI) k))) into (exp (* -1/2 (/ (log PI) k))) 1540201915.300 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in n 1540201915.300 * [misc]taylor: Taking taylor expansion of (* k PI) in n 1540201915.300 * [misc]taylor: Taking taylor expansion of k in n 1540201915.300 * [misc]backup-simplify: Simplify k into k 1540201915.300 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.300 * [misc]backup-simplify: Simplify PI into PI 1540201915.300 * [misc]backup-simplify: Simplify (* k PI) into (* PI k) 1540201915.300 * [misc]backup-simplify: Simplify (sqrt (* PI k)) into (sqrt (* PI k)) 1540201915.300 * [misc]backup-simplify: Simplify (+ (* k 0) (* 0 PI)) into 0 1540201915.300 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* PI k)))) into 0 1540201915.300 * [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)))) 1540201915.301 * [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))))) 1540201915.301 * [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))) 1540201915.301 * [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 1540201915.301 * [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 1540201915.301 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1540201915.301 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1540201915.301 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.301 * [misc]backup-simplify: Simplify -1 into -1 1540201915.301 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1540201915.302 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201915.302 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.302 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.302 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.302 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.302 * [misc]taylor: Taking taylor expansion of k in k 1540201915.302 * [misc]backup-simplify: Simplify 0 into 0 1540201915.302 * [misc]backup-simplify: Simplify 1 into 1 1540201915.302 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.302 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201915.302 * [misc]taylor: Taking taylor expansion of n in k 1540201915.302 * [misc]backup-simplify: Simplify n into n 1540201915.302 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201915.302 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.302 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.302 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.302 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1540201915.302 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1540201915.302 * [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)))) 1540201915.302 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k)))) in k 1540201915.302 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540201915.302 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201915.302 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.302 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.302 * [misc]backup-simplify: Simplify 2 into 2 1540201915.303 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.303 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201915.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.303 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.303 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.303 * [misc]taylor: Taking taylor expansion of k in k 1540201915.303 * [misc]backup-simplify: Simplify 0 into 0 1540201915.303 * [misc]backup-simplify: Simplify 1 into 1 1540201915.303 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.303 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.303 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.303 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.303 * [misc]backup-simplify: Simplify (* (log 2) -1/2) into (* -1/2 (log 2)) 1540201915.304 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201915.304 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log PI) k))) in k 1540201915.304 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log PI) k)) in k 1540201915.304 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540201915.304 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540201915.304 * [misc]taylor: Taking taylor expansion of (/ (log PI) k) in k 1540201915.304 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201915.304 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.304 * [misc]backup-simplify: Simplify PI into PI 1540201915.304 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.304 * [misc]taylor: Taking taylor expansion of k in k 1540201915.304 * [misc]backup-simplify: Simplify 0 into 0 1540201915.304 * [misc]backup-simplify: Simplify 1 into 1 1540201915.304 * [misc]backup-simplify: Simplify (/ (log PI) 1) into (log PI) 1540201915.304 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201915.305 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log PI) k))) into (exp (* -1/2 (/ (log PI) k))) 1540201915.305 * [misc]taylor: Taking taylor expansion of (sqrt (* PI k)) in k 1540201915.305 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540201915.305 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.305 * [misc]backup-simplify: Simplify PI into PI 1540201915.305 * [misc]taylor: Taking taylor expansion of k in k 1540201915.305 * [misc]backup-simplify: Simplify 0 into 0 1540201915.305 * [misc]backup-simplify: Simplify 1 into 1 1540201915.305 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201915.305 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201915.305 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.306 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201915.306 * [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)))) 1540201915.306 * [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))))) 1540201915.307 * [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 1540201915.307 * [misc]backup-simplify: Simplify 0 into 0 1540201915.307 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.308 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201915.309 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201915.309 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201915.309 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.309 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540201915.310 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log PI) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.310 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201915.312 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201915.312 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201915.312 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201915.312 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.312 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.312 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.312 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1540201915.313 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.313 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (exp (* -1/2 (/ (log PI) k))))) into 0 1540201915.315 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201915.315 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201915.315 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201915.315 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.315 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log 2))) into 0 1540201915.316 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.317 * [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 1540201915.317 * [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 1540201915.317 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.317 * [misc]backup-simplify: Simplify 0 into 0 1540201915.317 * [misc]backup-simplify: Simplify 0 into 0 1540201915.318 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (exp (* -1/2 (/ (log PI) k))))) into 0 1540201915.318 * [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 1540201915.319 * [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))))) 1540201915.319 * [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))))) 1540201915.320 * [misc]backup-simplify: Simplify (+ (* k 0) (+ (* 0 0) (* 0 PI))) into 0 1540201915.320 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* PI k)))) into 0 1540201915.321 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.323 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201915.323 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.323 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.323 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201915.324 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.324 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1540201915.325 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log PI) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.326 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.328 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540201915.328 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.328 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201915.328 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.328 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.329 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.329 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1540201915.330 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.330 * [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 1540201915.333 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201915.333 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.333 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201915.333 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.333 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.333 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1540201915.335 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.335 * [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 1540201915.336 * [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 1540201915.336 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.336 * [misc]backup-simplify: Simplify 0 into 0 1540201915.336 * [misc]backup-simplify: Simplify 0 into 0 1540201915.336 * [misc]backup-simplify: Simplify 0 into 0 1540201915.337 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540201915.337 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540201915.338 * [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 1540201915.338 * [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 1540201915.340 * [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)))))) 1540201915.341 * [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)))))) 1540201915.341 * [misc]backup-simplify: Simplify (+ (* k 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540201915.341 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* PI k)))) into 0 1540201915.342 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.345 * [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 1540201915.346 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.346 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.346 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.346 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201915.346 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.347 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540201915.349 * [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 1540201915.349 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.353 * [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 1540201915.353 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.354 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201915.354 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.354 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.354 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1540201915.356 * [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 1540201915.357 * [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 1540201915.361 * [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 1540201915.361 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.361 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201915.361 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.362 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.362 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1540201915.364 * [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 1540201915.364 * [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 1540201915.365 * [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 1540201915.365 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.365 * [misc]backup-simplify: Simplify 0 into 0 1540201915.365 * [misc]backup-simplify: Simplify 0 into 0 1540201915.365 * [misc]backup-simplify: Simplify 0 into 0 1540201915.365 * [misc]backup-simplify: Simplify 0 into 0 1540201915.366 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201915.367 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540201915.368 * [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 1540201915.369 * [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 1540201915.371 * [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)))))) 1540201915.371 * [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)))))) 1540201915.374 * [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)))))))) 1540201915.375 * [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)) 1540201915.375 * [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 1540201915.375 * [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 1540201915.375 * [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 1540201915.375 * [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 1540201915.375 * [misc]taylor: Taking taylor expansion of (pow PI (* 1/2 (/ 1 k))) in k 1540201915.375 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log PI))) in k 1540201915.375 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log PI)) in k 1540201915.375 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.375 * [misc]taylor: Taking taylor expansion of k in k 1540201915.375 * [misc]backup-simplify: Simplify 0 into 0 1540201915.375 * [misc]backup-simplify: Simplify 1 into 1 1540201915.375 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.375 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201915.375 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.375 * [misc]backup-simplify: Simplify PI into PI 1540201915.375 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.375 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.376 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201915.376 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log PI))) into (exp (* 1/2 (/ (log PI) k))) 1540201915.376 * [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 1540201915.376 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201915.376 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540201915.376 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540201915.376 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201915.376 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.376 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.376 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.376 * [misc]taylor: Taking taylor expansion of k in k 1540201915.376 * [misc]backup-simplify: Simplify 0 into 0 1540201915.376 * [misc]backup-simplify: Simplify 1 into 1 1540201915.376 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.376 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.376 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540201915.376 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540201915.376 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.376 * [misc]backup-simplify: Simplify -1 into -1 1540201915.376 * [misc]taylor: Taking taylor expansion of n in k 1540201915.376 * [misc]backup-simplify: Simplify n into n 1540201915.376 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540201915.376 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540201915.376 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.377 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.377 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540201915.377 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201915.377 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201915.377 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540201915.377 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540201915.377 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201915.377 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.377 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.377 * [misc]taylor: Taking taylor expansion of k in k 1540201915.377 * [misc]backup-simplify: Simplify 0 into 0 1540201915.377 * [misc]backup-simplify: Simplify 1 into 1 1540201915.377 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.377 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.377 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.377 * [misc]backup-simplify: Simplify 2 into 2 1540201915.377 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.377 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.377 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.378 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201915.378 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201915.378 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201915.378 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201915.378 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.378 * [misc]backup-simplify: Simplify -1 into -1 1540201915.378 * [misc]taylor: Taking taylor expansion of k in k 1540201915.378 * [misc]backup-simplify: Simplify 0 into 0 1540201915.378 * [misc]backup-simplify: Simplify 1 into 1 1540201915.378 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201915.378 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.378 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201915.379 * [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))) 1540201915.379 * [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))))) 1540201915.380 * [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)))))) 1540201915.380 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540201915.380 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.380 * [misc]backup-simplify: Simplify PI into PI 1540201915.380 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.380 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.380 * [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 1540201915.380 * [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 1540201915.380 * [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 1540201915.380 * [misc]taylor: Taking taylor expansion of (pow PI (* 1/2 (/ 1 k))) in n 1540201915.380 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log PI))) in n 1540201915.380 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log PI)) in n 1540201915.380 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.380 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.380 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.380 * [misc]taylor: Taking taylor expansion of k in n 1540201915.381 * [misc]backup-simplify: Simplify k into k 1540201915.381 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.381 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201915.381 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.381 * [misc]backup-simplify: Simplify PI into PI 1540201915.381 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.381 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.381 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (log PI)) into (* 1/2 (/ (log PI) k)) 1540201915.381 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log PI) k))) into (exp (* 1/2 (/ (log PI) k))) 1540201915.381 * [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 1540201915.381 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201915.381 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201915.381 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201915.381 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201915.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.381 * [misc]taylor: Taking taylor expansion of k in n 1540201915.381 * [misc]backup-simplify: Simplify k into k 1540201915.381 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.381 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201915.381 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201915.381 * [misc]taylor: Taking taylor expansion of -1 in n 1540201915.382 * [misc]backup-simplify: Simplify -1 into -1 1540201915.382 * [misc]taylor: Taking taylor expansion of n in n 1540201915.382 * [misc]backup-simplify: Simplify 0 into 0 1540201915.382 * [misc]backup-simplify: Simplify 1 into 1 1540201915.382 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201915.382 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201915.382 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.382 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201915.382 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201915.382 * [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))) 1540201915.382 * [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)))) 1540201915.383 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201915.383 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1540201915.383 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1540201915.383 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201915.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.383 * [misc]taylor: Taking taylor expansion of k in n 1540201915.383 * [misc]backup-simplify: Simplify k into k 1540201915.383 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.383 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201915.383 * [misc]taylor: Taking taylor expansion of 2 in n 1540201915.383 * [misc]backup-simplify: Simplify 2 into 2 1540201915.383 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.383 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.383 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201915.383 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201915.383 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201915.383 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540201915.383 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540201915.383 * [misc]taylor: Taking taylor expansion of -1 in n 1540201915.383 * [misc]backup-simplify: Simplify -1 into -1 1540201915.383 * [misc]taylor: Taking taylor expansion of k in n 1540201915.383 * [misc]backup-simplify: Simplify k into k 1540201915.384 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540201915.384 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540201915.384 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540201915.384 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540201915.384 * [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))))) 1540201915.385 * [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)))))) 1540201915.386 * [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))) 1540201915.386 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540201915.386 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.386 * [misc]backup-simplify: Simplify PI into PI 1540201915.386 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.387 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.387 * [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 1540201915.387 * [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 1540201915.387 * [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 1540201915.387 * [misc]taylor: Taking taylor expansion of (pow PI (* 1/2 (/ 1 k))) in n 1540201915.387 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log PI))) in n 1540201915.387 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log PI)) in n 1540201915.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.387 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.387 * [misc]taylor: Taking taylor expansion of k in n 1540201915.387 * [misc]backup-simplify: Simplify k into k 1540201915.387 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.387 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201915.387 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.387 * [misc]backup-simplify: Simplify PI into PI 1540201915.387 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.387 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.387 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (log PI)) into (* 1/2 (/ (log PI) k)) 1540201915.387 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log PI) k))) into (exp (* 1/2 (/ (log PI) k))) 1540201915.387 * [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 1540201915.387 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201915.387 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201915.388 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201915.388 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201915.388 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.388 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.388 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.388 * [misc]taylor: Taking taylor expansion of k in n 1540201915.388 * [misc]backup-simplify: Simplify k into k 1540201915.388 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.388 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.388 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201915.388 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201915.388 * [misc]taylor: Taking taylor expansion of -1 in n 1540201915.388 * [misc]backup-simplify: Simplify -1 into -1 1540201915.388 * [misc]taylor: Taking taylor expansion of n in n 1540201915.388 * [misc]backup-simplify: Simplify 0 into 0 1540201915.388 * [misc]backup-simplify: Simplify 1 into 1 1540201915.388 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201915.388 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201915.388 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.388 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201915.388 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201915.389 * [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))) 1540201915.389 * [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)))) 1540201915.389 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201915.389 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1540201915.389 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1540201915.389 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201915.389 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.389 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.389 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.389 * [misc]taylor: Taking taylor expansion of k in n 1540201915.389 * [misc]backup-simplify: Simplify k into k 1540201915.389 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.389 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.389 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201915.389 * [misc]taylor: Taking taylor expansion of 2 in n 1540201915.389 * [misc]backup-simplify: Simplify 2 into 2 1540201915.389 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.389 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.389 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201915.389 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201915.390 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201915.390 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540201915.390 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540201915.390 * [misc]taylor: Taking taylor expansion of -1 in n 1540201915.390 * [misc]backup-simplify: Simplify -1 into -1 1540201915.390 * [misc]taylor: Taking taylor expansion of k in n 1540201915.390 * [misc]backup-simplify: Simplify k into k 1540201915.390 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540201915.390 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540201915.390 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540201915.390 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540201915.390 * [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))))) 1540201915.391 * [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)))))) 1540201915.391 * [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))) 1540201915.391 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540201915.391 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.392 * [misc]backup-simplify: Simplify PI into PI 1540201915.392 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.392 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.393 * [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)))) 1540201915.393 * [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 1540201915.393 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540201915.393 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.393 * [misc]backup-simplify: Simplify PI into PI 1540201915.393 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.394 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.394 * [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 1540201915.394 * [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 1540201915.394 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540201915.394 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201915.394 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201915.394 * [misc]taylor: Taking taylor expansion of 2 in k 1540201915.394 * [misc]backup-simplify: Simplify 2 into 2 1540201915.394 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201915.394 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201915.394 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.394 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.394 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.394 * [misc]taylor: Taking taylor expansion of k in k 1540201915.394 * [misc]backup-simplify: Simplify 0 into 0 1540201915.394 * [misc]backup-simplify: Simplify 1 into 1 1540201915.394 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.394 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.394 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.395 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.395 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1540201915.395 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201915.395 * [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 1540201915.395 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log PI) k))) in k 1540201915.395 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log PI) k)) in k 1540201915.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.395 * [misc]taylor: Taking taylor expansion of (/ (log PI) k) in k 1540201915.395 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201915.395 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.395 * [misc]backup-simplify: Simplify PI into PI 1540201915.396 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201915.396 * [misc]taylor: Taking taylor expansion of k in k 1540201915.396 * [misc]backup-simplify: Simplify 0 into 0 1540201915.396 * [misc]backup-simplify: Simplify 1 into 1 1540201915.396 * [misc]backup-simplify: Simplify (/ (log PI) 1) into (log PI) 1540201915.397 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201915.397 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log PI) k))) into (exp (* 1/2 (/ (log PI) k))) 1540201915.397 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1540201915.397 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1540201915.397 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201915.397 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.397 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.397 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.397 * [misc]taylor: Taking taylor expansion of k in k 1540201915.397 * [misc]backup-simplify: Simplify 0 into 0 1540201915.397 * [misc]backup-simplify: Simplify 1 into 1 1540201915.397 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.397 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.398 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1540201915.398 * [misc]taylor: Taking taylor expansion of (log -1) in k 1540201915.398 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.398 * [misc]backup-simplify: Simplify -1 into -1 1540201915.398 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201915.398 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201915.398 * [misc]taylor: Taking taylor expansion of n in k 1540201915.398 * [misc]backup-simplify: Simplify n into n 1540201915.398 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201915.398 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.398 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.398 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540201915.399 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1540201915.399 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1540201915.399 * [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)))) 1540201915.399 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201915.399 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201915.399 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.399 * [misc]backup-simplify: Simplify -1 into -1 1540201915.399 * [misc]taylor: Taking taylor expansion of k in k 1540201915.399 * [misc]backup-simplify: Simplify 0 into 0 1540201915.399 * [misc]backup-simplify: Simplify 1 into 1 1540201915.400 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201915.400 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201915.400 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201915.401 * [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))))) 1540201915.402 * [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)))))) 1540201915.403 * [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))))))) 1540201915.404 * [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))) 1540201915.405 * [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))) 1540201915.407 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201915.407 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201915.408 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201915.408 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.408 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log 2))) into 0 1540201915.409 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.410 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201915.412 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540201915.413 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201915.413 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201915.413 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201915.414 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1540201915.415 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.417 * [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 1540201915.420 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201915.420 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201915.420 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201915.421 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (log PI))) into 0 1540201915.422 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.423 * [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 1540201915.425 * [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 1540201915.426 * [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 1540201915.426 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.426 * [misc]backup-simplify: Simplify 0 into 0 1540201915.426 * [misc]backup-simplify: Simplify 0 into 0 1540201915.427 * [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 1540201915.428 * [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 1540201915.428 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201915.429 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201915.431 * [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)))))))) 1540201915.432 * [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)))) 1540201915.433 * [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)))) 1540201915.435 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540201915.437 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201915.437 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.437 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201915.438 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.438 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1540201915.439 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.439 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.442 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1540201915.442 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.442 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201915.442 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.442 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201915.443 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1540201915.444 * [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 1540201915.445 * [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 1540201915.447 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201915.447 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201915.448 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1540201915.450 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.451 * [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 1540201915.451 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.451 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1540201915.452 * [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 1540201915.453 * [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 1540201915.453 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.453 * [misc]backup-simplify: Simplify 0 into 0 1540201915.454 * [misc]backup-simplify: Simplify 0 into 0 1540201915.454 * [misc]backup-simplify: Simplify 0 into 0 1540201915.454 * [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 1540201915.455 * [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 1540201915.455 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.456 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201915.457 * [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)))))))) 1540201915.458 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540201915.460 * [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)))) 1540201915.461 * [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)))) 1540201915.464 * [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)))))))) 1540201915.465 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1540201915.465 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) into (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) 1540201915.465 * [misc]approximate: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in (n k) around 0 1540201915.465 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in k 1540201915.465 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540201915.465 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540201915.465 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540201915.465 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201915.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.465 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201915.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.465 * [misc]taylor: Taking taylor expansion of k in k 1540201915.465 * [misc]backup-simplify: Simplify 0 into 0 1540201915.465 * [misc]backup-simplify: Simplify 1 into 1 1540201915.465 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201915.465 * [misc]taylor: Taking taylor expansion of n in k 1540201915.465 * [misc]backup-simplify: Simplify n into n 1540201915.465 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201915.465 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201915.465 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.466 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.466 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540201915.466 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540201915.466 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540201915.466 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.466 * [misc]backup-simplify: Simplify PI into PI 1540201915.466 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.466 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.466 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in n 1540201915.466 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540201915.466 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540201915.466 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540201915.466 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201915.466 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.466 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.466 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201915.466 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.467 * [misc]taylor: Taking taylor expansion of k in n 1540201915.467 * [misc]backup-simplify: Simplify k into k 1540201915.467 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201915.467 * [misc]taylor: Taking taylor expansion of n in n 1540201915.467 * [misc]backup-simplify: Simplify 0 into 0 1540201915.467 * [misc]backup-simplify: Simplify 1 into 1 1540201915.467 * [misc]backup-simplify: Simplify (log 1) into 0 1540201915.467 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201915.467 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.467 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201915.467 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201915.467 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540201915.467 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540201915.467 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540201915.467 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.467 * [misc]backup-simplify: Simplify PI into PI 1540201915.467 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.468 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.468 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in n 1540201915.468 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540201915.468 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540201915.468 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540201915.468 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201915.468 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.468 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201915.468 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.469 * [misc]taylor: Taking taylor expansion of k in n 1540201915.469 * [misc]backup-simplify: Simplify k into k 1540201915.469 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201915.469 * [misc]taylor: Taking taylor expansion of n in n 1540201915.469 * [misc]backup-simplify: Simplify 0 into 0 1540201915.469 * [misc]backup-simplify: Simplify 1 into 1 1540201915.469 * [misc]backup-simplify: Simplify (log 1) into 0 1540201915.469 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201915.469 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201915.469 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201915.469 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201915.469 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540201915.470 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540201915.470 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540201915.470 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.470 * [misc]backup-simplify: Simplify PI into PI 1540201915.470 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.471 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.471 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) into (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) 1540201915.471 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in k 1540201915.471 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540201915.471 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540201915.471 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540201915.471 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201915.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.471 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201915.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.471 * [misc]taylor: Taking taylor expansion of k in k 1540201915.471 * [misc]backup-simplify: Simplify 0 into 0 1540201915.471 * [misc]backup-simplify: Simplify 1 into 1 1540201915.471 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201915.471 * [misc]taylor: Taking taylor expansion of n in k 1540201915.472 * [misc]backup-simplify: Simplify n into n 1540201915.472 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201915.472 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201915.472 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.472 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.472 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540201915.472 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540201915.472 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540201915.472 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.472 * [misc]backup-simplify: Simplify PI into PI 1540201915.473 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.473 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.474 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt PI)) into (sqrt (* n PI)) 1540201915.474 * [misc]backup-simplify: Simplify (sqrt (* n PI)) into (sqrt (* n PI)) 1540201915.476 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201915.476 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540201915.476 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.476 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201915.477 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1540201915.478 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.478 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (sqrt PI))) into 0 1540201915.478 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.478 * [misc]backup-simplify: Simplify 0 into 0 1540201915.478 * [misc]backup-simplify: Simplify 0 into 0 1540201915.479 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540201915.479 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201915.479 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.480 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.480 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1540201915.480 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1540201915.480 * [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)))) 1540201915.481 * [misc]backup-simplify: Simplify (- (* 1/2 (* (sqrt (* n PI)) (log n)))) into (- (* 1/2 (* (sqrt (* n PI)) (log n)))) 1540201915.482 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540201915.486 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540201915.486 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540201915.486 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.486 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.487 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201915.487 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1540201915.489 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.490 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1540201915.490 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.490 * [misc]backup-simplify: Simplify 0 into 0 1540201915.490 * [misc]backup-simplify: Simplify 0 into 0 1540201915.490 * [misc]backup-simplify: Simplify 0 into 0 1540201915.491 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540201915.492 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540201915.493 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201915.493 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.493 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.493 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1540201915.494 * [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))) 1540201915.495 * [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))) 1540201915.495 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) into (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) 1540201915.496 * [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)))) 1540201915.496 * [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))))) 1540201915.496 * [misc]approximate: Taking taylor expansion of (* (sqrt PI) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1540201915.496 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540201915.496 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540201915.496 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.496 * [misc]backup-simplify: Simplify PI into PI 1540201915.496 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.497 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.497 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201915.497 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540201915.497 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540201915.497 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201915.497 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.497 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.497 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.497 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.497 * [misc]taylor: Taking taylor expansion of k in k 1540201915.497 * [misc]backup-simplify: Simplify 0 into 0 1540201915.497 * [misc]backup-simplify: Simplify 1 into 1 1540201915.497 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.498 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540201915.498 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540201915.498 * [misc]taylor: Taking taylor expansion of n in k 1540201915.498 * [misc]backup-simplify: Simplify n into n 1540201915.498 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540201915.498 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540201915.498 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.498 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.498 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.498 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540201915.498 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201915.498 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201915.498 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540201915.498 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.499 * [misc]backup-simplify: Simplify PI into PI 1540201915.499 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.499 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.499 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201915.499 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201915.499 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201915.500 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201915.500 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.500 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.500 * [misc]taylor: Taking taylor expansion of k in n 1540201915.500 * [misc]backup-simplify: Simplify k into k 1540201915.500 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.500 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201915.500 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201915.500 * [misc]taylor: Taking taylor expansion of n in n 1540201915.500 * [misc]backup-simplify: Simplify 0 into 0 1540201915.500 * [misc]backup-simplify: Simplify 1 into 1 1540201915.500 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.500 * [misc]backup-simplify: Simplify (log 1) into 0 1540201915.500 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.500 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.500 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201915.501 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.501 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201915.501 * [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)))) 1540201915.501 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201915.501 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540201915.501 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.501 * [misc]backup-simplify: Simplify PI into PI 1540201915.501 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.502 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.502 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201915.502 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201915.502 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201915.502 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201915.502 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.502 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.502 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.502 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.502 * [misc]taylor: Taking taylor expansion of k in n 1540201915.502 * [misc]backup-simplify: Simplify k into k 1540201915.502 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.502 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201915.502 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201915.502 * [misc]taylor: Taking taylor expansion of n in n 1540201915.502 * [misc]backup-simplify: Simplify 0 into 0 1540201915.502 * [misc]backup-simplify: Simplify 1 into 1 1540201915.503 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.503 * [misc]backup-simplify: Simplify (log 1) into 0 1540201915.503 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.503 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201915.503 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201915.503 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.503 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201915.504 * [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)))) 1540201915.504 * [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)) 1540201915.504 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt PI)) in k 1540201915.504 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1540201915.504 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1540201915.504 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.504 * [misc]backup-simplify: Simplify -1 into -1 1540201915.504 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1540201915.504 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201915.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.504 * [misc]taylor: Taking taylor expansion of k in k 1540201915.504 * [misc]backup-simplify: Simplify 0 into 0 1540201915.504 * [misc]backup-simplify: Simplify 1 into 1 1540201915.505 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.505 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201915.505 * [misc]taylor: Taking taylor expansion of n in k 1540201915.505 * [misc]backup-simplify: Simplify n into n 1540201915.505 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201915.505 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.505 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201915.505 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201915.505 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1540201915.505 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1540201915.505 * [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)))) 1540201915.505 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540201915.505 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.505 * [misc]backup-simplify: Simplify PI into PI 1540201915.506 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.506 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.507 * [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)) 1540201915.507 * [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)) 1540201915.507 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201915.509 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201915.510 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201915.510 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201915.510 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.511 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1540201915.512 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.513 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1540201915.513 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.513 * [misc]backup-simplify: Simplify 0 into 0 1540201915.513 * [misc]backup-simplify: Simplify 0 into 0 1540201915.514 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (sqrt PI))) into 0 1540201915.514 * [misc]backup-simplify: Simplify 0 into 0 1540201915.514 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.518 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540201915.518 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.518 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201915.518 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.519 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.519 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.519 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1540201915.522 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201915.523 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540201915.524 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1540201915.524 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.524 * [misc]backup-simplify: Simplify 0 into 0 1540201915.524 * [misc]backup-simplify: Simplify 0 into 0 1540201915.524 * [misc]backup-simplify: Simplify 0 into 0 1540201915.526 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540201915.527 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1540201915.527 * [misc]backup-simplify: Simplify 0 into 0 1540201915.527 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.534 * [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 1540201915.534 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.534 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201915.535 * [misc]backup-simplify: Simplify (- 0) into 0 1540201915.535 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.535 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201915.535 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1540201915.539 * [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 1540201915.540 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into 0 1540201915.541 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0 1540201915.541 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.541 * [misc]backup-simplify: Simplify 0 into 0 1540201915.541 * [misc]backup-simplify: Simplify 0 into 0 1540201915.541 * [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)) 1540201915.542 * [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)) 1540201915.542 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt PI)) in (n k) around 0 1540201915.542 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt PI)) in k 1540201915.542 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201915.542 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540201915.542 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540201915.542 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201915.542 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.542 * [misc]taylor: Taking taylor expansion of k in k 1540201915.542 * [misc]backup-simplify: Simplify 0 into 0 1540201915.542 * [misc]backup-simplify: Simplify 1 into 1 1540201915.542 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.543 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540201915.543 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540201915.543 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.543 * [misc]backup-simplify: Simplify -1 into -1 1540201915.543 * [misc]taylor: Taking taylor expansion of n in k 1540201915.543 * [misc]backup-simplify: Simplify n into n 1540201915.543 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540201915.543 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540201915.543 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.543 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.543 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540201915.543 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201915.543 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540201915.543 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.544 * [misc]backup-simplify: Simplify PI into PI 1540201915.544 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.544 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.545 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt PI)) in n 1540201915.545 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201915.545 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201915.545 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201915.545 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201915.545 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.545 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.545 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.545 * [misc]taylor: Taking taylor expansion of k in n 1540201915.545 * [misc]backup-simplify: Simplify k into k 1540201915.545 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.545 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.545 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201915.545 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201915.545 * [misc]taylor: Taking taylor expansion of -1 in n 1540201915.545 * [misc]backup-simplify: Simplify -1 into -1 1540201915.545 * [misc]taylor: Taking taylor expansion of n in n 1540201915.545 * [misc]backup-simplify: Simplify 0 into 0 1540201915.545 * [misc]backup-simplify: Simplify 1 into 1 1540201915.545 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201915.545 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201915.546 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.546 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201915.546 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201915.546 * [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))) 1540201915.547 * [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)))) 1540201915.547 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540201915.547 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.547 * [misc]backup-simplify: Simplify PI into PI 1540201915.547 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.548 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.548 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt PI)) in n 1540201915.548 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201915.548 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201915.548 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201915.548 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201915.548 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201915.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201915.548 * [misc]taylor: Taking taylor expansion of k in n 1540201915.548 * [misc]backup-simplify: Simplify k into k 1540201915.548 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201915.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201915.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.548 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201915.548 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201915.548 * [misc]taylor: Taking taylor expansion of -1 in n 1540201915.548 * [misc]backup-simplify: Simplify -1 into -1 1540201915.548 * [misc]taylor: Taking taylor expansion of n in n 1540201915.548 * [misc]backup-simplify: Simplify 0 into 0 1540201915.548 * [misc]backup-simplify: Simplify 1 into 1 1540201915.549 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201915.549 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201915.549 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201915.549 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201915.549 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201915.550 * [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))) 1540201915.550 * [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)))) 1540201915.550 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540201915.550 * [misc]taylor: Taking taylor expansion of PI in n 1540201915.550 * [misc]backup-simplify: Simplify PI into PI 1540201915.550 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.551 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.552 * [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))))) 1540201915.552 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) in k 1540201915.552 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540201915.552 * [misc]taylor: Taking taylor expansion of PI in k 1540201915.552 * [misc]backup-simplify: Simplify PI into PI 1540201915.552 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540201915.553 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540201915.553 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1540201915.553 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1540201915.553 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201915.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201915.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201915.553 * [misc]taylor: Taking taylor expansion of k in k 1540201915.553 * [misc]backup-simplify: Simplify 0 into 0 1540201915.553 * [misc]backup-simplify: Simplify 1 into 1 1540201915.553 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201915.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201915.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201915.553 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1540201915.553 * [misc]taylor: Taking taylor expansion of (log -1) in k 1540201915.553 * [misc]taylor: Taking taylor expansion of -1 in k 1540201915.553 * [misc]backup-simplify: Simplify -1 into -1 1540201915.553 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201915.554 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201915.554 * [misc]taylor: Taking taylor expansion of n in k 1540201915.554 * [misc]backup-simplify: Simplify n into n 1540201915.554 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201915.554 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201915.554 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201915.554 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540201915.554 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1540201915.554 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1540201915.555 * [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)))) 1540201915.555 * [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))))) 1540201915.556 * [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))))) 1540201915.556 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201915.558 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540201915.559 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201915.559 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201915.559 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.559 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201915.560 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1540201915.561 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201915.562 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (sqrt PI))) into 0 1540201915.562 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.562 * [misc]backup-simplify: Simplify 0 into 0 1540201915.562 * [misc]backup-simplify: Simplify 0 into 0 1540201915.563 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into 0 1540201915.563 * [misc]backup-simplify: Simplify 0 into 0 1540201915.564 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540201915.565 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.569 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1540201915.569 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.569 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201915.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.570 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201915.570 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1540201915.572 * [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 1540201915.573 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1540201915.573 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.573 * [misc]backup-simplify: Simplify 0 into 0 1540201915.573 * [misc]backup-simplify: Simplify 0 into 0 1540201915.573 * [misc]backup-simplify: Simplify 0 into 0 1540201915.575 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540201915.576 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1540201915.576 * [misc]backup-simplify: Simplify 0 into 0 1540201915.577 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into 0 1540201915.577 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201915.583 * [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 1540201915.583 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201915.584 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540201915.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201915.584 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201915.584 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1540201915.586 * [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 1540201915.587 * [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 1540201915.587 * [misc]taylor: Taking taylor expansion of 0 in k 1540201915.587 * [misc]backup-simplify: Simplify 0 into 0 1540201915.587 * [misc]backup-simplify: Simplify 0 into 0 1540201915.588 * [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)) 1540201915.588 * * * [misc]progress: simplifying candidates 1540201915.588 * * * * [misc]progress: [ 1 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 2 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 3 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 4 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 5 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 6 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 7 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 8 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 9 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 10 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 11 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 12 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 13 / 188 ] simplifiying candidate # 1540201915.588 * * * * [misc]progress: [ 14 / 188 ] simplifiying candidate # 1540201915.589 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))) 1540201915.589 * * [misc]simplify: iters left: 6 (10 enodes) 1540201915.591 * * [misc]simplify: iters left: 5 (15 enodes) 1540201915.593 * * [misc]simplify: iters left: 4 (31 enodes) 1540201915.599 * * [misc]simplify: iters left: 3 (70 enodes) 1540201915.614 * * [misc]simplify: iters left: 2 (125 enodes) 1540201915.660 * * [misc]simplify: iters left: 1 (187 enodes) 1540201915.717 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt k))) 1540201915.717 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt k))))))) 1540201915.717 * * * * [misc]progress: [ 15 / 188 ] simplifiying candidate # 1540201915.718 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))) 1540201915.718 * * [misc]simplify: iters left: 6 (10 enodes) 1540201915.722 * * [misc]simplify: iters left: 5 (16 enodes) 1540201915.727 * * [misc]simplify: iters left: 4 (25 enodes) 1540201915.736 * * [misc]simplify: iters left: 3 (42 enodes) 1540201915.750 * * [misc]simplify: iters left: 2 (91 enodes) 1540201915.780 * * [misc]simplify: iters left: 1 (143 enodes) 1540201915.830 * [exit]simplify: Simplified to (fma (log 2) (+ -1/2 (/ k 2)) (log (sqrt k))) 1540201915.830 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (exp (fma (log 2) (+ -1/2 (/ k 2)) (log (sqrt k))))))) 1540201915.830 * * * * [misc]progress: [ 16 / 188 ] simplifiying candidate # 1540201915.831 * * * * [misc]progress: [ 17 / 188 ] simplifiying candidate # 1540201915.831 * * * * [misc]progress: [ 18 / 188 ] simplifiying candidate # 1540201915.831 * [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))))) 1540201915.831 * * [misc]simplify: iters left: 6 (12 enodes) 1540201915.835 * * [misc]simplify: iters left: 5 (23 enodes) 1540201915.843 * * [misc]simplify: iters left: 4 (56 enodes) 1540201915.864 * * [misc]simplify: iters left: 3 (118 enodes) 1540201915.907 * * [misc]simplify: iters left: 2 (201 enodes) 1540201915.967 * * [misc]simplify: iters left: 1 (281 enodes) 1540201916.086 * [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))))) 1540201916.086 * [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))))))))) 1540201916.086 * * * * [misc]progress: [ 19 / 188 ] simplifiying candidate # 1540201916.087 * * * * [misc]progress: [ 20 / 188 ] simplifiying candidate # 1540201916.087 * * * * [misc]progress: [ 21 / 188 ] simplifiying candidate # 1540201916.087 * * * * [misc]progress: [ 22 / 188 ] simplifiying candidate # 1540201916.087 * * * * [misc]progress: [ 23 / 188 ] simplifiying candidate # 1540201916.087 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1540201916.087 * * [misc]simplify: iters left: 6 (8 enodes) 1540201916.091 * * [misc]simplify: iters left: 5 (11 enodes) 1540201916.093 * * [misc]simplify: iters left: 4 (13 enodes) 1540201916.095 * * [misc]simplify: iters left: 3 (14 enodes) 1540201916.098 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1540201916.098 * [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)))))))) 1540201916.098 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540201916.098 * * [misc]simplify: iters left: 6 (8 enodes) 1540201916.099 * * [misc]simplify: iters left: 5 (10 enodes) 1540201916.101 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540201916.101 * [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))))))) 1540201916.101 * * * * [misc]progress: [ 24 / 188 ] simplifiying candidate # 1540201916.101 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1540201916.101 * * [misc]simplify: iters left: 6 (8 enodes) 1540201916.103 * * [misc]simplify: iters left: 5 (11 enodes) 1540201916.104 * * [misc]simplify: iters left: 4 (13 enodes) 1540201916.107 * * [misc]simplify: iters left: 3 (14 enodes) 1540201916.109 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1540201916.109 * [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)))))))) 1540201916.109 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540201916.109 * * [misc]simplify: iters left: 6 (8 enodes) 1540201916.110 * * [misc]simplify: iters left: 5 (10 enodes) 1540201916.112 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540201916.113 * [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))))))) 1540201916.113 * * * * [misc]progress: [ 25 / 188 ] simplifiying candidate # 1540201916.113 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201916.113 * * [misc]simplify: iters left: 6 (12 enodes) 1540201916.117 * * [misc]simplify: iters left: 5 (20 enodes) 1540201916.123 * * [misc]simplify: iters left: 4 (32 enodes) 1540201916.131 * * [misc]simplify: iters left: 3 (35 enodes) 1540201916.138 * * [misc]simplify: iters left: 2 (38 enodes) 1540201916.143 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201916.143 * [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))))))))) 1540201916.143 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.143 * * [misc]simplify: iters left: 6 (10 enodes) 1540201916.144 * * [misc]simplify: iters left: 5 (12 enodes) 1540201916.146 * * [misc]simplify: iters left: 4 (15 enodes) 1540201916.148 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.148 * [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))))))))) 1540201916.148 * * * * [misc]progress: [ 26 / 188 ] simplifiying candidate # 1540201916.148 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.148 * * [misc]simplify: iters left: 6 (11 enodes) 1540201916.150 * * [misc]simplify: iters left: 5 (15 enodes) 1540201916.152 * * [misc]simplify: iters left: 4 (20 enodes) 1540201916.155 * * [misc]simplify: iters left: 3 (21 enodes) 1540201916.157 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.157 * [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))))))))) 1540201916.158 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.158 * * [misc]simplify: iters left: 6 (10 enodes) 1540201916.161 * * [misc]simplify: iters left: 5 (12 enodes) 1540201916.162 * * [misc]simplify: iters left: 4 (15 enodes) 1540201916.164 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.164 * [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))))))))) 1540201916.164 * * * * [misc]progress: [ 27 / 188 ] simplifiying candidate # 1540201916.164 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540201916.165 * * [misc]simplify: iters left: 6 (6 enodes) 1540201916.165 * * [misc]simplify: iters left: 5 (10 enodes) 1540201916.167 * * [misc]simplify: iters left: 4 (16 enodes) 1540201916.169 * * [misc]simplify: iters left: 3 (18 enodes) 1540201916.171 * * [misc]simplify: iters left: 2 (23 enodes) 1540201916.176 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540201916.176 * [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)))))))) 1540201916.177 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201916.177 * * [misc]simplify: iters left: 6 (9 enodes) 1540201916.179 * * [misc]simplify: iters left: 5 (11 enodes) 1540201916.183 * * [misc]simplify: iters left: 4 (14 enodes) 1540201916.186 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201916.187 * [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)))))))) 1540201916.187 * * * * [misc]progress: [ 28 / 188 ] simplifiying candidate # 1540201916.187 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1540201916.187 * * [misc]simplify: iters left: 4 (7 enodes) 1540201916.190 * * [misc]simplify: iters left: 3 (8 enodes) 1540201916.193 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1540201916.193 * [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)))))))) 1540201916.193 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540201916.193 * * [misc]simplify: iters left: 6 (8 enodes) 1540201916.195 * * [misc]simplify: iters left: 5 (10 enodes) 1540201916.198 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540201916.198 * [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))))))) 1540201916.199 * * * * [misc]progress: [ 29 / 188 ] simplifiying candidate # 1540201916.199 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1540201916.199 * * [misc]simplify: iters left: 4 (7 enodes) 1540201916.202 * * [misc]simplify: iters left: 3 (8 enodes) 1540201916.205 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1540201916.205 * [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)))))))) 1540201916.205 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540201916.205 * * [misc]simplify: iters left: 6 (8 enodes) 1540201916.208 * * [misc]simplify: iters left: 5 (10 enodes) 1540201916.211 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540201916.211 * [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))))))) 1540201916.211 * * * * [misc]progress: [ 30 / 188 ] simplifiying candidate # 1540201916.211 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201916.212 * * [misc]simplify: iters left: 6 (11 enodes) 1540201916.215 * * [misc]simplify: iters left: 5 (15 enodes) 1540201916.219 * * [misc]simplify: iters left: 4 (18 enodes) 1540201916.225 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201916.225 * [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))))))))) 1540201916.225 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.225 * * [misc]simplify: iters left: 6 (10 enodes) 1540201916.228 * * [misc]simplify: iters left: 5 (12 enodes) 1540201916.232 * * [misc]simplify: iters left: 4 (15 enodes) 1540201916.236 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.236 * [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))))))))) 1540201916.236 * * * * [misc]progress: [ 31 / 188 ] simplifiying candidate # 1540201916.237 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.237 * * [misc]simplify: iters left: 6 (10 enodes) 1540201916.240 * * [misc]simplify: iters left: 5 (12 enodes) 1540201916.243 * * [misc]simplify: iters left: 4 (15 enodes) 1540201916.247 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.248 * [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))))))))) 1540201916.248 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.248 * * [misc]simplify: iters left: 6 (10 enodes) 1540201916.251 * * [misc]simplify: iters left: 5 (12 enodes) 1540201916.254 * * [misc]simplify: iters left: 4 (15 enodes) 1540201916.259 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.259 * [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))))))))) 1540201916.259 * * * * [misc]progress: [ 32 / 188 ] simplifiying candidate # 1540201916.259 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540201916.259 * * [misc]simplify: iters left: 4 (5 enodes) 1540201916.261 * * [misc]simplify: iters left: 3 (7 enodes) 1540201916.263 * * [misc]simplify: iters left: 2 (9 enodes) 1540201916.265 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540201916.265 * [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)))))))) 1540201916.265 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201916.265 * * [misc]simplify: iters left: 6 (9 enodes) 1540201916.268 * * [misc]simplify: iters left: 5 (11 enodes) 1540201916.271 * * [misc]simplify: iters left: 4 (14 enodes) 1540201916.275 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201916.275 * [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)))))))) 1540201916.275 * * * * [misc]progress: [ 33 / 188 ] simplifiying candidate # 1540201916.276 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1540201916.276 * * [misc]simplify: iters left: 3 (5 enodes) 1540201916.278 * * [misc]simplify: iters left: 2 (8 enodes) 1540201916.281 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540201916.281 * [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)))))))) 1540201916.282 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1540201916.282 * * [misc]simplify: iters left: 6 (7 enodes) 1540201916.284 * * [misc]simplify: iters left: 5 (9 enodes) 1540201916.286 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1540201916.286 * [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))))))) 1540201916.286 * * * * [misc]progress: [ 34 / 188 ] simplifiying candidate # 1540201916.287 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1540201916.287 * * [misc]simplify: iters left: 3 (5 enodes) 1540201916.289 * * [misc]simplify: iters left: 2 (8 enodes) 1540201916.292 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540201916.292 * [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)))))))) 1540201916.292 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1540201916.292 * * [misc]simplify: iters left: 6 (7 enodes) 1540201916.294 * * [misc]simplify: iters left: 5 (9 enodes) 1540201916.297 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1540201916.297 * [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))))))) 1540201916.297 * * * * [misc]progress: [ 35 / 188 ] simplifiying candidate # 1540201916.297 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201916.297 * * [misc]simplify: iters left: 6 (10 enodes) 1540201916.300 * * [misc]simplify: iters left: 5 (16 enodes) 1540201916.303 * * [misc]simplify: iters left: 4 (19 enodes) 1540201916.305 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201916.305 * [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))))))))) 1540201916.306 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.306 * * [misc]simplify: iters left: 6 (9 enodes) 1540201916.307 * * [misc]simplify: iters left: 5 (11 enodes) 1540201916.308 * * [misc]simplify: iters left: 4 (14 enodes) 1540201916.310 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.310 * [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))))))))) 1540201916.310 * * * * [misc]progress: [ 36 / 188 ] simplifiying candidate # 1540201916.310 * [enter]simplify: Simplifying (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.311 * * [misc]simplify: iters left: 6 (9 enodes) 1540201916.312 * * [misc]simplify: iters left: 5 (13 enodes) 1540201916.314 * * [misc]simplify: iters left: 4 (16 enodes) 1540201916.316 * [exit]simplify: Simplified to (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.316 * [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))))))))) 1540201916.316 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.316 * * [misc]simplify: iters left: 6 (9 enodes) 1540201916.317 * * [misc]simplify: iters left: 5 (11 enodes) 1540201916.318 * * [misc]simplify: iters left: 4 (14 enodes) 1540201916.320 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201916.320 * [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))))))))) 1540201916.320 * * * * [misc]progress: [ 37 / 188 ] simplifiying candidate # 1540201916.321 * [enter]simplify: Simplifying (/ 1 1) 1540201916.321 * * [misc]simplify: iters left: 2 (2 enodes) 1540201916.321 * * [misc]simplify: iters left: 1 (4 enodes) 1540201916.321 * [exit]simplify: Simplified to 1 1540201916.321 * [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)))))))) 1540201916.321 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540201916.321 * * [misc]simplify: iters left: 6 (8 enodes) 1540201916.323 * * [misc]simplify: iters left: 5 (10 enodes) 1540201916.324 * * [misc]simplify: iters left: 4 (13 enodes) 1540201916.326 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540201916.326 * [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)))))))) 1540201916.326 * * * * [misc]progress: [ 38 / 188 ] simplifiying candidate # 1540201916.326 * * * * [misc]progress: [ 39 / 188 ] simplifiying candidate # 1540201916.326 * * * * [misc]progress: [ 40 / 188 ] simplifiying candidate # 1540201916.326 * * * * [misc]progress: [ 41 / 188 ] simplifiying candidate # 1540201916.326 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1540201916.326 * * [misc]simplify: iters left: 5 (5 enodes) 1540201916.327 * * [misc]simplify: iters left: 4 (7 enodes) 1540201916.328 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1540201916.328 * [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))))))) 1540201916.328 * * * * [misc]progress: [ 42 / 188 ] simplifiying candidate # 1540201916.328 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1540201916.328 * * [misc]simplify: iters left: 5 (5 enodes) 1540201916.329 * * [misc]simplify: iters left: 4 (7 enodes) 1540201916.330 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1540201916.330 * [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))))))) 1540201916.330 * * * * [misc]progress: [ 43 / 188 ] simplifiying candidate # 1540201916.330 * [enter]simplify: Simplifying (cbrt (pow 2 (- 1/2 (/ k 2)))) 1540201916.330 * * [misc]simplify: iters left: 6 (7 enodes) 1540201916.332 * * [misc]simplify: iters left: 5 (9 enodes) 1540201916.333 * * [misc]simplify: iters left: 4 (12 enodes) 1540201916.334 * [exit]simplify: Simplified to (cbrt (pow 2 (- 1/2 (/ k 2)))) 1540201916.334 * [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)))))))) 1540201916.334 * * * * [misc]progress: [ 44 / 188 ] simplifiying candidate # 1540201916.335 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (/ k 2)))) 1540201916.335 * * [misc]simplify: iters left: 6 (7 enodes) 1540201916.336 * * [misc]simplify: iters left: 5 (9 enodes) 1540201916.337 * * [misc]simplify: iters left: 4 (12 enodes) 1540201916.338 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (/ k 2)))) 1540201916.338 * [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)))))))) 1540201916.339 * * * * [misc]progress: [ 45 / 188 ] simplifiying candidate # 1540201916.339 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540201916.339 * * [misc]simplify: iters left: 5 (6 enodes) 1540201916.340 * * [misc]simplify: iters left: 4 (8 enodes) 1540201916.341 * * [misc]simplify: iters left: 3 (11 enodes) 1540201916.342 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540201916.342 * [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))))))) 1540201916.342 * * * * [misc]progress: [ 46 / 188 ] simplifiying candidate # 1540201916.342 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540201916.342 * * [misc]simplify: iters left: 4 (4 enodes) 1540201916.343 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540201916.343 * [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))))))) 1540201916.343 * * * * [misc]progress: [ 47 / 188 ] simplifiying candidate # 1540201916.343 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540201916.343 * * [misc]simplify: iters left: 2 (3 enodes) 1540201916.344 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540201916.344 * [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))))))) 1540201916.344 * * * * [misc]progress: [ 48 / 188 ] simplifiying candidate # 1540201916.344 * * * * [misc]progress: [ 49 / 188 ] simplifiying candidate # 1540201916.344 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1540201916.344 * * [misc]simplify: iters left: 3 (4 enodes) 1540201916.345 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1540201916.345 * [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)))))) 1540201916.345 * * * * [misc]progress: [ 50 / 188 ] simplifiying candidate # 1540201916.345 * * * * [misc]progress: [ 51 / 188 ] simplifiying candidate # 1540201916.345 * * * * [misc]progress: [ 52 / 188 ] simplifiying candidate # 1540201916.345 * [enter]simplify: Simplifying (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201916.345 * * [misc]simplify: iters left: 6 (17 enodes) 1540201916.347 * * [misc]simplify: iters left: 5 (28 enodes) 1540201916.352 * * [misc]simplify: iters left: 4 (55 enodes) 1540201916.362 * * [misc]simplify: iters left: 3 (129 enodes) 1540201916.389 * * [misc]simplify: iters left: 2 (216 enodes) 1540201916.473 * * [misc]simplify: iters left: 1 (306 enodes) 1540201916.629 * [exit]simplify: Simplified to (* (* (pow PI (- (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) 1540201916.629 * [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)) 1540201916.629 * * * * [misc]progress: [ 53 / 188 ] simplifiying candidate # 1540201916.629 * * * * [misc]progress: [ 54 / 188 ] simplifiying candidate # 1540201916.629 * [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)))))) 1540201916.630 * * [misc]simplify: iters left: 6 (22 enodes) 1540201916.638 * * [misc]simplify: iters left: 5 (44 enodes) 1540201916.654 * * [misc]simplify: iters left: 4 (117 enodes) 1540201916.700 * * [misc]simplify: iters left: 3 (379 enodes) 1540201917.079 * [exit]simplify: Simplified to (- (fma (- 1/2 (/ k 2)) (log 2) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))) 1540201917.079 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (- 1/2 (/ k 2)) (log 2) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))))) 1540201917.079 * * * * [misc]progress: [ 55 / 188 ] simplifiying candidate # 1540201917.080 * [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))))))) 1540201917.080 * * [misc]simplify: iters left: 6 (22 enodes) 1540201917.088 * * [misc]simplify: iters left: 5 (45 enodes) 1540201917.103 * * [misc]simplify: iters left: 4 (111 enodes) 1540201917.159 * * [misc]simplify: iters left: 3 (323 enodes) 1540201917.498 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (/ k 2) (log PI) (log (sqrt k))))) 1540201917.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (/ k 2) (log PI) (log (sqrt k))))))) 1540201917.498 * * * * [misc]progress: [ 56 / 188 ] simplifiying candidate # 1540201917.498 * [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))))))) 1540201917.498 * * [misc]simplify: iters left: 6 (21 enodes) 1540201917.501 * * [misc]simplify: iters left: 5 (41 enodes) 1540201917.512 * * [misc]simplify: iters left: 4 (92 enodes) 1540201917.533 * * [misc]simplify: iters left: 3 (257 enodes) 1540201917.685 * [exit]simplify: Simplified to (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))) 1540201917.685 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))))) 1540201917.685 * * * * [misc]progress: [ 57 / 188 ] simplifiying candidate # 1540201917.685 * [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)))))) 1540201917.685 * * [misc]simplify: iters left: 6 (22 enodes) 1540201917.693 * * [misc]simplify: iters left: 5 (42 enodes) 1540201917.702 * * [misc]simplify: iters left: 4 (106 enodes) 1540201917.748 * * [misc]simplify: iters left: 3 (354 enodes) 1540201918.108 * [exit]simplify: Simplified to (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (/ k 2) (log PI) (log (sqrt k))))) 1540201918.108 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (/ k 2) (log PI) (log (sqrt k))))))) 1540201918.108 * * * * [misc]progress: [ 58 / 188 ] simplifiying candidate # 1540201918.109 * [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))))))) 1540201918.109 * * [misc]simplify: iters left: 6 (22 enodes) 1540201918.113 * * [misc]simplify: iters left: 5 (43 enodes) 1540201918.120 * * [misc]simplify: iters left: 4 (100 enodes) 1540201918.147 * * [misc]simplify: iters left: 3 (299 enodes) 1540201918.402 * [exit]simplify: Simplified to (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (/ k 2) (log PI) (log (sqrt k))))) 1540201918.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (/ k 2) (log PI) (log (sqrt k))))))) 1540201918.402 * * * * [misc]progress: [ 59 / 188 ] simplifiying candidate # 1540201918.402 * [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))))))) 1540201918.403 * * [misc]simplify: iters left: 6 (21 enodes) 1540201918.409 * * [misc]simplify: iters left: 5 (39 enodes) 1540201918.419 * * [misc]simplify: iters left: 4 (82 enodes) 1540201918.437 * * [misc]simplify: iters left: 3 (230 enodes) 1540201918.599 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))) 1540201918.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))))) 1540201918.599 * * * * [misc]progress: [ 60 / 188 ] simplifiying candidate # 1540201918.600 * [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))))))) 1540201918.600 * * [misc]simplify: iters left: 6 (20 enodes) 1540201918.606 * * [misc]simplify: iters left: 5 (34 enodes) 1540201918.617 * * [misc]simplify: iters left: 4 (68 enodes) 1540201918.642 * * [misc]simplify: iters left: 3 (164 enodes) 1540201918.722 * * [misc]simplify: iters left: 2 (485 enodes) 1540201919.106 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))) 1540201919.107 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))))) 1540201919.107 * * * * [misc]progress: [ 61 / 188 ] simplifiying candidate # 1540201919.107 * [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)))))) 1540201919.107 * * [misc]simplify: iters left: 6 (22 enodes) 1540201919.111 * * [misc]simplify: iters left: 5 (44 enodes) 1540201919.119 * * [misc]simplify: iters left: 4 (111 enodes) 1540201919.150 * * [misc]simplify: iters left: 3 (344 enodes) 1540201919.472 * [exit]simplify: Simplified to (- (fma (log 2) (- 1/2 (/ k 2)) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))) 1540201919.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log 2) (- 1/2 (/ k 2)) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))))) 1540201919.472 * * * * [misc]progress: [ 62 / 188 ] simplifiying candidate # 1540201919.472 * [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))))))) 1540201919.473 * * [misc]simplify: iters left: 6 (22 enodes) 1540201919.479 * * [misc]simplify: iters left: 5 (45 enodes) 1540201919.494 * * [misc]simplify: iters left: 4 (105 enodes) 1540201919.539 * * [misc]simplify: iters left: 3 (289 enodes) 1540201919.841 * [exit]simplify: Simplified to (- (fma (log 2) (- 1/2 (/ k 2)) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))) 1540201919.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log 2) (- 1/2 (/ k 2)) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))))) 1540201919.842 * * * * [misc]progress: [ 63 / 188 ] simplifiying candidate # 1540201919.842 * [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))))))) 1540201919.842 * * [misc]simplify: iters left: 6 (21 enodes) 1540201919.849 * * [misc]simplify: iters left: 5 (41 enodes) 1540201919.862 * * [misc]simplify: iters left: 4 (86 enodes) 1540201919.896 * * [misc]simplify: iters left: 3 (220 enodes) 1540201920.020 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))) 1540201920.020 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))))) 1540201920.020 * * * * [misc]progress: [ 64 / 188 ] simplifiying candidate # 1540201920.020 * [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)))))) 1540201920.021 * * [misc]simplify: iters left: 6 (22 enodes) 1540201920.028 * * [misc]simplify: iters left: 5 (42 enodes) 1540201920.042 * * [misc]simplify: iters left: 4 (100 enodes) 1540201920.096 * * [misc]simplify: iters left: 3 (317 enodes) 1540201920.421 * [exit]simplify: Simplified to (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))) 1540201920.421 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))))) 1540201920.421 * * * * [misc]progress: [ 65 / 188 ] simplifiying candidate # 1540201920.421 * [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))))))) 1540201920.421 * * [misc]simplify: iters left: 6 (22 enodes) 1540201920.425 * * [misc]simplify: iters left: 5 (43 enodes) 1540201920.432 * * [misc]simplify: iters left: 4 (94 enodes) 1540201920.461 * * [misc]simplify: iters left: 3 (262 enodes) 1540201920.664 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))) 1540201920.664 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))))) 1540201920.665 * * * * [misc]progress: [ 66 / 188 ] simplifiying candidate # 1540201920.665 * [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))))))) 1540201920.665 * * [misc]simplify: iters left: 6 (21 enodes) 1540201920.672 * * [misc]simplify: iters left: 5 (39 enodes) 1540201920.682 * * [misc]simplify: iters left: 4 (76 enodes) 1540201920.698 * * [misc]simplify: iters left: 3 (194 enodes) 1540201920.814 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))) 1540201920.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))))) 1540201920.814 * * * * [misc]progress: [ 67 / 188 ] simplifiying candidate # 1540201920.814 * [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))))))) 1540201920.815 * * [misc]simplify: iters left: 6 (20 enodes) 1540201920.820 * * [misc]simplify: iters left: 5 (34 enodes) 1540201920.825 * * [misc]simplify: iters left: 4 (62 enodes) 1540201920.836 * * [misc]simplify: iters left: 3 (135 enodes) 1540201920.884 * * [misc]simplify: iters left: 2 (416 enodes) 1540201921.145 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log 2) (- (fma (log n) (- 1/2 (/ k 2)) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))) 1540201921.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log 2) (- (fma (log n) (- 1/2 (/ k 2)) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))))) 1540201921.145 * * * * [misc]progress: [ 68 / 188 ] simplifiying candidate # 1540201921.145 * [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)))))) 1540201921.145 * * [misc]simplify: iters left: 6 (21 enodes) 1540201921.153 * * [misc]simplify: iters left: 5 (42 enodes) 1540201921.172 * * [misc]simplify: iters left: 4 (101 enodes) 1540201921.199 * * [misc]simplify: iters left: 3 (303 enodes) 1540201921.403 * [exit]simplify: Simplified to (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))) 1540201921.403 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))))) 1540201921.403 * * * * [misc]progress: [ 69 / 188 ] simplifiying candidate # 1540201921.403 * [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))))))) 1540201921.403 * * [misc]simplify: iters left: 6 (21 enodes) 1540201921.407 * * [misc]simplify: iters left: 5 (43 enodes) 1540201921.414 * * [misc]simplify: iters left: 4 (95 enodes) 1540201921.440 * * [misc]simplify: iters left: 3 (252 enodes) 1540201921.673 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))) 1540201921.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log 2) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k))))))) 1540201921.673 * * * * [misc]progress: [ 70 / 188 ] simplifiying candidate # 1540201921.674 * [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))))))) 1540201921.674 * * [misc]simplify: iters left: 6 (20 enodes) 1540201921.680 * * [misc]simplify: iters left: 5 (39 enodes) 1540201921.686 * * [misc]simplify: iters left: 4 (78 enodes) 1540201921.702 * * [misc]simplify: iters left: 3 (191 enodes) 1540201921.789 * * [misc]simplify: iters left: 2 (448 enodes) 1540201922.179 * [exit]simplify: Simplified to (- (fma (- 1/2 (/ k 2)) (+ (log 2) (log n)) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k)))) 1540201922.179 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (- 1/2 (/ k 2)) (+ (log 2) (log n)) (log (sqrt PI))) (fma (log PI) (/ k 2) (log (sqrt k)))))) 1540201922.179 * * * * [misc]progress: [ 71 / 188 ] simplifiying candidate # 1540201922.179 * [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)))))) 1540201922.179 * * [misc]simplify: iters left: 6 (21 enodes) 1540201922.186 * * [misc]simplify: iters left: 5 (40 enodes) 1540201922.198 * * [misc]simplify: iters left: 4 (90 enodes) 1540201922.218 * * [misc]simplify: iters left: 3 (276 enodes) 1540201922.418 * [exit]simplify: Simplified to (- (fma (- 1/2 (/ k 2)) (log 2) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))) 1540201922.418 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (- 1/2 (/ k 2)) (log 2) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))))) 1540201922.418 * * * * [misc]progress: [ 72 / 188 ] simplifiying candidate # 1540201922.418 * [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))))))) 1540201922.419 * * [misc]simplify: iters left: 6 (21 enodes) 1540201922.426 * * [misc]simplify: iters left: 5 (41 enodes) 1540201922.761 * * [misc]simplify: iters left: 4 (84 enodes) 1540201922.778 * * [misc]simplify: iters left: 3 (224 enodes) 1540201922.961 * [exit]simplify: Simplified to (- (fma (- 1/2 (/ k 2)) (log 2) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))) 1540201922.961 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (- 1/2 (/ k 2)) (log 2) (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (fma (/ k 2) (log PI) (log (sqrt k)))))) 1540201922.961 * * * * [misc]progress: [ 73 / 188 ] simplifiying candidate # 1540201922.961 * [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))))))) 1540201922.962 * * [misc]simplify: iters left: 6 (20 enodes) 1540201922.967 * * [misc]simplify: iters left: 5 (37 enodes) 1540201922.980 * * [misc]simplify: iters left: 4 (68 enodes) 1540201923.003 * * [misc]simplify: iters left: 3 (164 enodes) 1540201923.058 * * [misc]simplify: iters left: 2 (409 enodes) 1540201923.387 * [exit]simplify: Simplified to (- (fma (- 1/2 (/ k 2)) (+ (log 2) (log n)) (log (sqrt PI))) (fma (/ k 2) (log PI) (log (sqrt k)))) 1540201923.387 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (- 1/2 (/ k 2)) (+ (log 2) (log n)) (log (sqrt PI))) (fma (/ k 2) (log PI) (log (sqrt k)))))) 1540201923.387 * * * * [misc]progress: [ 74 / 188 ] simplifiying candidate # 1540201923.388 * [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))))))) 1540201923.388 * * [misc]simplify: iters left: 6 (19 enodes) 1540201923.394 * * [misc]simplify: iters left: 5 (32 enodes) 1540201923.403 * * [misc]simplify: iters left: 4 (56 enodes) 1540201923.421 * * [misc]simplify: iters left: 3 (115 enodes) 1540201923.449 * * [misc]simplify: iters left: 2 (274 enodes) 1540201923.584 * [exit]simplify: Simplified to (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))) 1540201923.584 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log 2) (- 1/2 (/ k 2)) (- (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) (+ (* (/ k 2) (log PI)) (log (sqrt k))))))) 1540201923.584 * * * * [misc]progress: [ 75 / 188 ] simplifiying candidate # 1540201923.585 * * * * [misc]progress: [ 76 / 188 ] simplifiying candidate # 1540201923.585 * * * * [misc]progress: [ 77 / 188 ] simplifiying candidate # 1540201923.585 * [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))))))) 1540201923.585 * * [misc]simplify: iters left: 6 (27 enodes) 1540201923.595 * * [misc]simplify: iters left: 5 (56 enodes) 1540201923.608 * * [misc]simplify: iters left: 4 (215 enodes) 1540201923.816 * [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))))))) 1540201923.816 * [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))))))))) 1540201923.816 * * * * [misc]progress: [ 78 / 188 ] simplifiying candidate # 1540201923.816 * [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))))))) 1540201923.816 * * [misc]simplify: iters left: 6 (25 enodes) 1540201923.824 * * [misc]simplify: iters left: 5 (55 enodes) 1540201923.845 * * [misc]simplify: iters left: 4 (199 enodes) 1540201924.046 * [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))))) 1540201924.046 * [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))))))) 1540201924.046 * * * * [misc]progress: [ 79 / 188 ] simplifiying candidate # 1540201924.047 * [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))))))) 1540201924.047 * * [misc]simplify: iters left: 6 (23 enodes) 1540201924.055 * * [misc]simplify: iters left: 5 (47 enodes) 1540201924.074 * * [misc]simplify: iters left: 4 (160 enodes) 1540201924.209 * [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)))))) 1540201924.209 * [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)))))))) 1540201924.209 * * * * [misc]progress: [ 80 / 188 ] simplifiying candidate # 1540201924.210 * [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))))))) 1540201924.210 * * [misc]simplify: iters left: 6 (25 enodes) 1540201924.220 * * [misc]simplify: iters left: 5 (55 enodes) 1540201924.242 * * [misc]simplify: iters left: 4 (201 enodes) 1540201924.433 * [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))) 1540201924.433 * [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))))) 1540201924.433 * * * * [misc]progress: [ 81 / 188 ] simplifiying candidate # 1540201924.436 * [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))))))) 1540201924.436 * * [misc]simplify: iters left: 6 (23 enodes) 1540201924.444 * * [misc]simplify: iters left: 5 (54 enodes) 1540201924.467 * * [misc]simplify: iters left: 4 (189 enodes) 1540201924.591 * [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))))) 1540201924.591 * [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))))))) 1540201924.591 * * * * [misc]progress: [ 82 / 188 ] simplifiying candidate # 1540201924.591 * [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))))))) 1540201924.591 * * [misc]simplify: iters left: 6 (21 enodes) 1540201924.595 * * [misc]simplify: iters left: 5 (46 enodes) 1540201924.603 * * [misc]simplify: iters left: 4 (148 enodes) 1540201924.722 * [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))))) 1540201924.722 * [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))))))) 1540201924.723 * * * * [misc]progress: [ 83 / 188 ] simplifiying candidate # 1540201924.723 * * * * [misc]progress: [ 84 / 188 ] simplifiying candidate # 1540201924.723 * * * * [misc]progress: [ 85 / 188 ] simplifiying candidate # 1540201924.723 * * * * [misc]progress: [ 86 / 188 ] simplifiying candidate # 1540201924.723 * [enter]simplify: Simplifying (* (* (pow n 1/2) (sqrt PI)) (pow PI (- (/ k 2)))) 1540201924.723 * * [misc]simplify: iters left: 6 (12 enodes) 1540201924.727 * * [misc]simplify: iters left: 5 (19 enodes) 1540201924.734 * * [misc]simplify: iters left: 4 (25 enodes) 1540201924.740 * * [misc]simplify: iters left: 3 (26 enodes) 1540201924.746 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (pow PI (/ (- k) 2))) 1540201924.746 * [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))))))) 1540201924.746 * [enter]simplify: Simplifying (* (pow n (/ k 2)) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201924.746 * * [misc]simplify: iters left: 6 (11 enodes) 1540201924.749 * * [misc]simplify: iters left: 5 (16 enodes) 1540201924.754 * * [misc]simplify: iters left: 4 (23 enodes) 1540201924.759 * * [misc]simplify: iters left: 3 (25 enodes) 1540201924.764 * * [misc]simplify: iters left: 2 (27 enodes) 1540201924.770 * * [misc]simplify: iters left: 1 (28 enodes) 1540201924.776 * [exit]simplify: Simplified to (/ (* (pow n (/ k 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201924.777 * [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)))))) 1540201924.777 * * * * [misc]progress: [ 87 / 188 ] simplifiying candidate # 1540201924.777 * * * * [misc]progress: [ 88 / 188 ] simplifiying candidate # 1540201924.777 * [enter]simplify: Simplifying (cbrt (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201924.777 * * [misc]simplify: iters left: 6 (13 enodes) 1540201924.780 * * [misc]simplify: iters left: 5 (18 enodes) 1540201924.785 * * [misc]simplify: iters left: 4 (22 enodes) 1540201924.789 * * [misc]simplify: iters left: 3 (24 enodes) 1540201924.795 * [exit]simplify: Simplified to (cbrt (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt k)))) 1540201924.795 * [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)))))) 1540201924.795 * * * * [misc]progress: [ 89 / 188 ] simplifiying candidate # 1540201924.795 * [enter]simplify: Simplifying (sqrt (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201924.795 * * [misc]simplify: iters left: 6 (13 enodes) 1540201924.799 * * [misc]simplify: iters left: 5 (18 enodes) 1540201924.803 * * [misc]simplify: iters left: 4 (22 enodes) 1540201924.808 * * [misc]simplify: iters left: 3 (24 enodes) 1540201924.814 * [exit]simplify: Simplified to (sqrt (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt k)))) 1540201924.814 * [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)))))) 1540201924.814 * * * * [misc]progress: [ 90 / 188 ] simplifiying candidate # 1540201924.814 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201924.815 * * [misc]simplify: iters left: 6 (14 enodes) 1540201924.819 * * [misc]simplify: iters left: 5 (17 enodes) 1540201924.823 * * [misc]simplify: iters left: 4 (18 enodes) 1540201924.827 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201924.827 * [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)))))))) 1540201924.827 * * * * [misc]progress: [ 91 / 188 ] simplifiying candidate # 1540201924.827 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201924.828 * * [misc]simplify: iters left: 6 (14 enodes) 1540201924.831 * * [misc]simplify: iters left: 5 (17 enodes) 1540201924.835 * * [misc]simplify: iters left: 4 (18 enodes) 1540201924.839 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201924.839 * [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)))))))) 1540201924.839 * * * * [misc]progress: [ 92 / 188 ] simplifiying candidate # 1540201924.840 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201924.840 * * [misc]simplify: iters left: 6 (12 enodes) 1540201924.843 * * [misc]simplify: iters left: 5 (16 enodes) 1540201924.846 * * [misc]simplify: iters left: 4 (19 enodes) 1540201924.851 * * [misc]simplify: iters left: 3 (21 enodes) 1540201924.855 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540201924.855 * [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)))))) 1540201924.856 * * * * [misc]progress: [ 93 / 188 ] simplifiying candidate # 1540201924.856 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201924.856 * * [misc]simplify: iters left: 6 (12 enodes) 1540201924.859 * * [misc]simplify: iters left: 5 (16 enodes) 1540201924.863 * * [misc]simplify: iters left: 4 (19 enodes) 1540201924.867 * * [misc]simplify: iters left: 3 (21 enodes) 1540201924.872 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540201924.872 * [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)))))) 1540201924.872 * * * * [misc]progress: [ 94 / 188 ] simplifiying candidate # 1540201924.873 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201924.873 * * [misc]simplify: iters left: 6 (15 enodes) 1540201924.877 * * [misc]simplify: iters left: 5 (20 enodes) 1540201924.881 * * [misc]simplify: iters left: 4 (24 enodes) 1540201924.887 * * [misc]simplify: iters left: 3 (26 enodes) 1540201924.893 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201924.893 * [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)))))))) 1540201924.893 * * * * [misc]progress: [ 95 / 188 ] simplifiying candidate # 1540201924.893 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201924.893 * * [misc]simplify: iters left: 6 (15 enodes) 1540201924.897 * * [misc]simplify: iters left: 5 (20 enodes) 1540201924.902 * * [misc]simplify: iters left: 4 (24 enodes) 1540201924.907 * * [misc]simplify: iters left: 3 (26 enodes) 1540201924.912 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201924.912 * [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)))))))) 1540201924.913 * * * * [misc]progress: [ 96 / 188 ] simplifiying candidate # 1540201924.913 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201924.913 * * [misc]simplify: iters left: 6 (14 enodes) 1540201924.915 * * [misc]simplify: iters left: 5 (19 enodes) 1540201924.917 * * [misc]simplify: iters left: 4 (23 enodes) 1540201924.921 * * [misc]simplify: iters left: 3 (25 enodes) 1540201924.927 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201924.927 * [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))))))) 1540201924.927 * * * * [misc]progress: [ 97 / 188 ] simplifiying candidate # 1540201924.927 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201924.927 * * [misc]simplify: iters left: 6 (12 enodes) 1540201924.929 * * [misc]simplify: iters left: 5 (16 enodes) 1540201924.931 * * [misc]simplify: iters left: 4 (19 enodes) 1540201924.933 * * [misc]simplify: iters left: 3 (21 enodes) 1540201924.936 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540201924.936 * [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)))))) 1540201924.936 * * * * [misc]progress: [ 98 / 188 ] simplifiying candidate # 1540201924.936 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201924.936 * * [misc]simplify: iters left: 6 (12 enodes) 1540201924.938 * * [misc]simplify: iters left: 5 (16 enodes) 1540201924.940 * * [misc]simplify: iters left: 4 (19 enodes) 1540201924.942 * * [misc]simplify: iters left: 3 (21 enodes) 1540201924.944 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540201924.945 * [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)))))) 1540201924.945 * * * * [misc]progress: [ 99 / 188 ] simplifiying candidate # 1540201924.945 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201924.945 * * [misc]simplify: iters left: 6 (15 enodes) 1540201924.947 * * [misc]simplify: iters left: 5 (20 enodes) 1540201924.949 * * [misc]simplify: iters left: 4 (24 enodes) 1540201924.952 * * [misc]simplify: iters left: 3 (26 enodes) 1540201924.956 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201924.957 * [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)))))))) 1540201924.957 * * * * [misc]progress: [ 100 / 188 ] simplifiying candidate # 1540201924.957 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201924.957 * * [misc]simplify: iters left: 6 (15 enodes) 1540201924.961 * * [misc]simplify: iters left: 5 (20 enodes) 1540201924.965 * * [misc]simplify: iters left: 4 (24 enodes) 1540201924.968 * * [misc]simplify: iters left: 3 (26 enodes) 1540201924.971 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201924.971 * [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)))))))) 1540201924.971 * * * * [misc]progress: [ 101 / 188 ] simplifiying candidate # 1540201924.971 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201924.971 * * [misc]simplify: iters left: 6 (14 enodes) 1540201924.973 * * [misc]simplify: iters left: 5 (19 enodes) 1540201924.975 * * [misc]simplify: iters left: 4 (23 enodes) 1540201924.978 * * [misc]simplify: iters left: 3 (25 enodes) 1540201924.981 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201924.981 * [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))))))) 1540201924.981 * * * * [misc]progress: [ 102 / 188 ] simplifiying candidate # 1540201924.982 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201924.982 * * [misc]simplify: iters left: 6 (11 enodes) 1540201924.983 * * [misc]simplify: iters left: 5 (15 enodes) 1540201924.985 * * [misc]simplify: iters left: 4 (18 enodes) 1540201924.988 * * [misc]simplify: iters left: 3 (20 enodes) 1540201924.990 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201924.990 * [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))))))) 1540201924.990 * * * * [misc]progress: [ 103 / 188 ] simplifiying candidate # 1540201924.990 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201924.991 * * [misc]simplify: iters left: 6 (11 enodes) 1540201924.992 * * [misc]simplify: iters left: 5 (15 enodes) 1540201924.994 * * [misc]simplify: iters left: 4 (18 enodes) 1540201924.996 * * [misc]simplify: iters left: 3 (20 enodes) 1540201924.999 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201924.999 * [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))))))) 1540201924.999 * * * * [misc]progress: [ 104 / 188 ] simplifiying candidate # 1540201924.999 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201924.999 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.001 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.004 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.007 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.010 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (sqrt k))) 1540201925.010 * [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))))) 1540201925.010 * * * * [misc]progress: [ 105 / 188 ] simplifiying candidate # 1540201925.010 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.010 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.012 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.015 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.018 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.021 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (sqrt k))) 1540201925.021 * [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))))) 1540201925.021 * * * * [misc]progress: [ 106 / 188 ] simplifiying candidate # 1540201925.021 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.022 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.024 * * [misc]simplify: iters left: 5 (18 enodes) 1540201925.026 * * [misc]simplify: iters left: 4 (22 enodes) 1540201925.029 * * [misc]simplify: iters left: 3 (24 enodes) 1540201925.032 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.032 * [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))))))) 1540201925.032 * * * * [misc]progress: [ 107 / 188 ] simplifiying candidate # 1540201925.033 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.033 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.034 * * [misc]simplify: iters left: 5 (18 enodes) 1540201925.037 * * [misc]simplify: iters left: 4 (22 enodes) 1540201925.040 * * [misc]simplify: iters left: 3 (24 enodes) 1540201925.042 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.042 * [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))))))) 1540201925.042 * * * * [misc]progress: [ 108 / 188 ] simplifiying candidate # 1540201925.043 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540201925.043 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.045 * * [misc]simplify: iters left: 5 (20 enodes) 1540201925.047 * * [misc]simplify: iters left: 4 (24 enodes) 1540201925.051 * * [misc]simplify: iters left: 3 (34 enodes) 1540201925.055 * * [misc]simplify: iters left: 2 (36 enodes) 1540201925.058 * * [misc]simplify: iters left: 1 (41 enodes) 1540201925.062 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (cbrt (pow PI (/ (- k) 2)))) 1540201925.062 * [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)))))) 1540201925.062 * * * * [misc]progress: [ 109 / 188 ] simplifiying candidate # 1540201925.062 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (pow 2 (/ k 2))) 1540201925.062 * * [misc]simplify: iters left: 6 (9 enodes) 1540201925.064 * * [misc]simplify: iters left: 5 (11 enodes) 1540201925.065 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (pow 2 (/ k 2))) 1540201925.065 * [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))))) 1540201925.065 * * * * [misc]progress: [ 110 / 188 ] simplifiying candidate # 1540201925.065 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201925.065 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.067 * * [misc]simplify: iters left: 5 (17 enodes) 1540201925.069 * * [misc]simplify: iters left: 4 (18 enodes) 1540201925.072 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201925.072 * [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)))))))) 1540201925.072 * * * * [misc]progress: [ 111 / 188 ] simplifiying candidate # 1540201925.072 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201925.072 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.074 * * [misc]simplify: iters left: 5 (17 enodes) 1540201925.076 * * [misc]simplify: iters left: 4 (18 enodes) 1540201925.078 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201925.078 * [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)))))))) 1540201925.078 * * * * [misc]progress: [ 112 / 188 ] simplifiying candidate # 1540201925.078 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201925.079 * * [misc]simplify: iters left: 6 (12 enodes) 1540201925.080 * * [misc]simplify: iters left: 5 (16 enodes) 1540201925.082 * * [misc]simplify: iters left: 4 (19 enodes) 1540201925.085 * * [misc]simplify: iters left: 3 (21 enodes) 1540201925.087 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540201925.087 * [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)))))) 1540201925.087 * * * * [misc]progress: [ 113 / 188 ] simplifiying candidate # 1540201925.087 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201925.087 * * [misc]simplify: iters left: 6 (12 enodes) 1540201925.089 * * [misc]simplify: iters left: 5 (16 enodes) 1540201925.091 * * [misc]simplify: iters left: 4 (19 enodes) 1540201925.094 * * [misc]simplify: iters left: 3 (21 enodes) 1540201925.098 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540201925.098 * [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)))))) 1540201925.098 * * * * [misc]progress: [ 114 / 188 ] simplifiying candidate # 1540201925.099 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.099 * * [misc]simplify: iters left: 6 (15 enodes) 1540201925.103 * * [misc]simplify: iters left: 5 (20 enodes) 1540201925.108 * * [misc]simplify: iters left: 4 (24 enodes) 1540201925.114 * * [misc]simplify: iters left: 3 (26 enodes) 1540201925.121 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.121 * [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)))))))) 1540201925.121 * * * * [misc]progress: [ 115 / 188 ] simplifiying candidate # 1540201925.121 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.121 * * [misc]simplify: iters left: 6 (15 enodes) 1540201925.125 * * [misc]simplify: iters left: 5 (20 enodes) 1540201925.131 * * [misc]simplify: iters left: 4 (24 enodes) 1540201925.137 * * [misc]simplify: iters left: 3 (26 enodes) 1540201925.143 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.143 * [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)))))))) 1540201925.143 * * * * [misc]progress: [ 116 / 188 ] simplifiying candidate # 1540201925.143 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201925.144 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.147 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.152 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.158 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.164 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201925.164 * [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))))))) 1540201925.164 * * * * [misc]progress: [ 117 / 188 ] simplifiying candidate # 1540201925.164 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201925.164 * * [misc]simplify: iters left: 6 (12 enodes) 1540201925.167 * * [misc]simplify: iters left: 5 (16 enodes) 1540201925.172 * * [misc]simplify: iters left: 4 (19 enodes) 1540201925.176 * * [misc]simplify: iters left: 3 (21 enodes) 1540201925.181 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540201925.181 * [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)))))) 1540201925.181 * * * * [misc]progress: [ 118 / 188 ] simplifiying candidate # 1540201925.182 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201925.182 * * [misc]simplify: iters left: 6 (12 enodes) 1540201925.185 * * [misc]simplify: iters left: 5 (16 enodes) 1540201925.189 * * [misc]simplify: iters left: 4 (19 enodes) 1540201925.194 * * [misc]simplify: iters left: 3 (21 enodes) 1540201925.199 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540201925.199 * [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)))))) 1540201925.199 * * * * [misc]progress: [ 119 / 188 ] simplifiying candidate # 1540201925.199 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.199 * * [misc]simplify: iters left: 6 (15 enodes) 1540201925.201 * * [misc]simplify: iters left: 5 (20 enodes) 1540201925.204 * * [misc]simplify: iters left: 4 (24 enodes) 1540201925.207 * * [misc]simplify: iters left: 3 (26 enodes) 1540201925.210 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.210 * [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)))))))) 1540201925.210 * * * * [misc]progress: [ 120 / 188 ] simplifiying candidate # 1540201925.210 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.210 * * [misc]simplify: iters left: 6 (15 enodes) 1540201925.212 * * [misc]simplify: iters left: 5 (20 enodes) 1540201925.215 * * [misc]simplify: iters left: 4 (24 enodes) 1540201925.218 * * [misc]simplify: iters left: 3 (26 enodes) 1540201925.222 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.222 * [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)))))))) 1540201925.222 * * * * [misc]progress: [ 121 / 188 ] simplifiying candidate # 1540201925.222 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201925.222 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.224 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.226 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.229 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.233 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201925.233 * [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))))))) 1540201925.233 * * * * [misc]progress: [ 122 / 188 ] simplifiying candidate # 1540201925.233 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201925.234 * * [misc]simplify: iters left: 6 (11 enodes) 1540201925.237 * * [misc]simplify: iters left: 5 (15 enodes) 1540201925.240 * * [misc]simplify: iters left: 4 (18 enodes) 1540201925.243 * * [misc]simplify: iters left: 3 (20 enodes) 1540201925.245 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201925.246 * [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))))))) 1540201925.246 * * * * [misc]progress: [ 123 / 188 ] simplifiying candidate # 1540201925.246 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201925.246 * * [misc]simplify: iters left: 6 (11 enodes) 1540201925.247 * * [misc]simplify: iters left: 5 (15 enodes) 1540201925.249 * * [misc]simplify: iters left: 4 (18 enodes) 1540201925.252 * * [misc]simplify: iters left: 3 (20 enodes) 1540201925.254 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201925.254 * [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))))))) 1540201925.254 * * * * [misc]progress: [ 124 / 188 ] simplifiying candidate # 1540201925.255 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.255 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.257 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.260 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.263 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.266 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt k))) 1540201925.266 * [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))))) 1540201925.266 * * * * [misc]progress: [ 125 / 188 ] simplifiying candidate # 1540201925.266 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.266 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.269 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.275 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.281 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.287 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt k))) 1540201925.287 * [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))))) 1540201925.288 * * * * [misc]progress: [ 126 / 188 ] simplifiying candidate # 1540201925.288 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.288 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.292 * * [misc]simplify: iters left: 5 (18 enodes) 1540201925.294 * * [misc]simplify: iters left: 4 (22 enodes) 1540201925.297 * * [misc]simplify: iters left: 3 (24 enodes) 1540201925.300 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.300 * [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))))))) 1540201925.300 * * * * [misc]progress: [ 127 / 188 ] simplifiying candidate # 1540201925.300 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.300 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.303 * * [misc]simplify: iters left: 5 (18 enodes) 1540201925.305 * * [misc]simplify: iters left: 4 (22 enodes) 1540201925.308 * * [misc]simplify: iters left: 3 (24 enodes) 1540201925.311 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.311 * [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))))))) 1540201925.311 * * * * [misc]progress: [ 128 / 188 ] simplifiying candidate # 1540201925.311 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540201925.311 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.313 * * [misc]simplify: iters left: 5 (20 enodes) 1540201925.315 * * [misc]simplify: iters left: 4 (24 enodes) 1540201925.319 * * [misc]simplify: iters left: 3 (34 enodes) 1540201925.323 * * [misc]simplify: iters left: 2 (36 enodes) 1540201925.326 * * [misc]simplify: iters left: 1 (41 enodes) 1540201925.330 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (sqrt (pow PI (/ (- k) 2)))) 1540201925.330 * [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)))))) 1540201925.330 * * * * [misc]progress: [ 129 / 188 ] simplifiying candidate # 1540201925.331 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (pow 2 (/ k 2))) 1540201925.331 * * [misc]simplify: iters left: 6 (9 enodes) 1540201925.332 * * [misc]simplify: iters left: 5 (11 enodes) 1540201925.333 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (pow 2 (/ k 2))) 1540201925.333 * [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))))) 1540201925.333 * * * * [misc]progress: [ 130 / 188 ] simplifiying candidate # 1540201925.334 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201925.334 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.335 * * [misc]simplify: iters left: 5 (16 enodes) 1540201925.337 * * [misc]simplify: iters left: 4 (17 enodes) 1540201925.340 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201925.340 * [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)))))))) 1540201925.340 * * * * [misc]progress: [ 131 / 188 ] simplifiying candidate # 1540201925.340 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201925.340 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.342 * * [misc]simplify: iters left: 5 (16 enodes) 1540201925.344 * * [misc]simplify: iters left: 4 (17 enodes) 1540201925.347 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201925.347 * [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)))))))) 1540201925.347 * * * * [misc]progress: [ 132 / 188 ] simplifiying candidate # 1540201925.347 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201925.347 * * [misc]simplify: iters left: 6 (11 enodes) 1540201925.348 * * [misc]simplify: iters left: 5 (15 enodes) 1540201925.351 * * [misc]simplify: iters left: 4 (18 enodes) 1540201925.353 * * [misc]simplify: iters left: 3 (20 enodes) 1540201925.355 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201925.355 * [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)))))) 1540201925.356 * * * * [misc]progress: [ 133 / 188 ] simplifiying candidate # 1540201925.356 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201925.356 * * [misc]simplify: iters left: 6 (11 enodes) 1540201925.357 * * [misc]simplify: iters left: 5 (15 enodes) 1540201925.359 * * [misc]simplify: iters left: 4 (18 enodes) 1540201925.364 * * [misc]simplify: iters left: 3 (20 enodes) 1540201925.369 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201925.369 * [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)))))) 1540201925.369 * * * * [misc]progress: [ 134 / 188 ] simplifiying candidate # 1540201925.369 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.369 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.373 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.378 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.384 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.391 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540201925.391 * [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)))))) 1540201925.391 * * * * [misc]progress: [ 135 / 188 ] simplifiying candidate # 1540201925.391 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.391 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.395 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.401 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.407 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.413 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540201925.413 * [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)))))) 1540201925.413 * * * * [misc]progress: [ 136 / 188 ] simplifiying candidate # 1540201925.414 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201925.414 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.418 * * [misc]simplify: iters left: 5 (18 enodes) 1540201925.422 * * [misc]simplify: iters left: 4 (22 enodes) 1540201925.428 * * [misc]simplify: iters left: 3 (24 enodes) 1540201925.434 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540201925.434 * [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)))))) 1540201925.434 * * * * [misc]progress: [ 137 / 188 ] simplifiying candidate # 1540201925.435 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201925.435 * * [misc]simplify: iters left: 6 (11 enodes) 1540201925.438 * * [misc]simplify: iters left: 5 (15 enodes) 1540201925.442 * * [misc]simplify: iters left: 4 (18 enodes) 1540201925.447 * * [misc]simplify: iters left: 3 (20 enodes) 1540201925.452 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201925.452 * [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)))))) 1540201925.452 * * * * [misc]progress: [ 138 / 188 ] simplifiying candidate # 1540201925.453 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201925.453 * * [misc]simplify: iters left: 6 (11 enodes) 1540201925.456 * * [misc]simplify: iters left: 5 (15 enodes) 1540201925.460 * * [misc]simplify: iters left: 4 (18 enodes) 1540201925.462 * * [misc]simplify: iters left: 3 (20 enodes) 1540201925.465 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201925.465 * [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)))))) 1540201925.465 * * * * [misc]progress: [ 139 / 188 ] simplifiying candidate # 1540201925.465 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.465 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.467 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.469 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.472 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.475 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201925.475 * [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)))))) 1540201925.475 * * * * [misc]progress: [ 140 / 188 ] simplifiying candidate # 1540201925.476 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.476 * * [misc]simplify: iters left: 6 (14 enodes) 1540201925.478 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.480 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.483 * * [misc]simplify: iters left: 3 (25 enodes) 1540201925.486 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201925.486 * [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)))))) 1540201925.486 * * * * [misc]progress: [ 141 / 188 ] simplifiying candidate # 1540201925.486 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201925.487 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.490 * * [misc]simplify: iters left: 5 (18 enodes) 1540201925.495 * * [misc]simplify: iters left: 4 (22 enodes) 1540201925.502 * * [misc]simplify: iters left: 3 (24 enodes) 1540201925.508 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201925.509 * [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)))))) 1540201925.509 * * * * [misc]progress: [ 142 / 188 ] simplifiying candidate # 1540201925.509 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201925.509 * * [misc]simplify: iters left: 6 (10 enodes) 1540201925.512 * * [misc]simplify: iters left: 5 (14 enodes) 1540201925.514 * * [misc]simplify: iters left: 4 (17 enodes) 1540201925.516 * * [misc]simplify: iters left: 3 (19 enodes) 1540201925.519 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt k)) 1540201925.519 * [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)))) 1540201925.519 * * * * [misc]progress: [ 143 / 188 ] simplifiying candidate # 1540201925.519 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540201925.519 * * [misc]simplify: iters left: 6 (10 enodes) 1540201925.521 * * [misc]simplify: iters left: 5 (14 enodes) 1540201925.522 * * [misc]simplify: iters left: 4 (17 enodes) 1540201925.525 * * [misc]simplify: iters left: 3 (19 enodes) 1540201925.527 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt k)) 1540201925.527 * [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)))) 1540201925.527 * * * * [misc]progress: [ 144 / 188 ] simplifiying candidate # 1540201925.528 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.528 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.530 * * [misc]simplify: iters left: 5 (18 enodes) 1540201925.532 * * [misc]simplify: iters left: 4 (22 enodes) 1540201925.535 * * [misc]simplify: iters left: 3 (24 enodes) 1540201925.538 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540201925.538 * [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))))) 1540201925.538 * * * * [misc]progress: [ 145 / 188 ] simplifiying candidate # 1540201925.539 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201925.539 * * [misc]simplify: iters left: 6 (13 enodes) 1540201925.541 * * [misc]simplify: iters left: 5 (18 enodes) 1540201925.543 * * [misc]simplify: iters left: 4 (22 enodes) 1540201925.546 * * [misc]simplify: iters left: 3 (24 enodes) 1540201925.549 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540201925.549 * [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))))) 1540201925.549 * * * * [misc]progress: [ 146 / 188 ] simplifiying candidate # 1540201925.549 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.549 * * [misc]simplify: iters left: 6 (12 enodes) 1540201925.551 * * [misc]simplify: iters left: 5 (17 enodes) 1540201925.556 * * [misc]simplify: iters left: 4 (21 enodes) 1540201925.561 * * [misc]simplify: iters left: 3 (23 enodes) 1540201925.568 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201925.568 * [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)))))) 1540201925.568 * * * * [misc]progress: [ 147 / 188 ] simplifiying candidate # 1540201925.568 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.568 * * [misc]simplify: iters left: 6 (12 enodes) 1540201925.572 * * [misc]simplify: iters left: 5 (17 enodes) 1540201925.577 * * [misc]simplify: iters left: 4 (21 enodes) 1540201925.581 * * [misc]simplify: iters left: 3 (23 enodes) 1540201925.584 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201925.584 * [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)))))) 1540201925.584 * * * * [misc]progress: [ 148 / 188 ] simplifiying candidate # 1540201925.584 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540201925.584 * * [misc]simplify: iters left: 6 (12 enodes) 1540201925.586 * * [misc]simplify: iters left: 5 (19 enodes) 1540201925.588 * * [misc]simplify: iters left: 4 (23 enodes) 1540201925.592 * * [misc]simplify: iters left: 3 (33 enodes) 1540201925.597 * * [misc]simplify: iters left: 2 (35 enodes) 1540201925.600 * * [misc]simplify: iters left: 1 (40 enodes) 1540201925.604 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540201925.604 * [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))))) 1540201925.604 * * * * [misc]progress: [ 149 / 188 ] simplifiying candidate # 1540201925.604 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))) 1540201925.605 * * [misc]simplify: iters left: 6 (8 enodes) 1540201925.606 * * [misc]simplify: iters left: 5 (10 enodes) 1540201925.607 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))) 1540201925.607 * [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))))) 1540201925.607 * * * * [misc]progress: [ 150 / 188 ] simplifiying candidate # 1540201925.608 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.608 * * [misc]simplify: iters left: 6 (12 enodes) 1540201925.609 * * [misc]simplify: iters left: 5 (17 enodes) 1540201925.612 * * [misc]simplify: iters left: 4 (21 enodes) 1540201925.614 * * [misc]simplify: iters left: 3 (23 enodes) 1540201925.617 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201925.618 * [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)))))) 1540201925.618 * * * * [misc]progress: [ 151 / 188 ] simplifiying candidate # 1540201925.618 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540201925.618 * * [misc]simplify: iters left: 6 (10 enodes) 1540201925.619 * * [misc]simplify: iters left: 5 (16 enodes) 1540201925.622 * * [misc]simplify: iters left: 4 (22 enodes) 1540201925.625 * * [misc]simplify: iters left: 3 (30 enodes) 1540201925.629 * * [misc]simplify: iters left: 2 (38 enodes) 1540201925.635 * * [misc]simplify: iters left: 1 (48 enodes) 1540201925.646 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1540201925.646 * [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)))) 1540201925.646 * * * * [misc]progress: [ 152 / 188 ] simplifiying candidate # 1540201925.646 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540201925.646 * * [misc]simplify: iters left: 5 (6 enodes) 1540201925.648 * * [misc]simplify: iters left: 4 (8 enodes) 1540201925.651 * * [misc]simplify: iters left: 3 (11 enodes) 1540201925.654 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540201925.654 * [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))))) 1540201925.654 * * * * [misc]progress: [ 153 / 188 ] simplifiying candidate # 1540201925.654 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540201925.654 * * [misc]simplify: iters left: 5 (7 enodes) 1540201925.656 * * [misc]simplify: iters left: 4 (9 enodes) 1540201925.659 * * [misc]simplify: iters left: 3 (12 enodes) 1540201925.663 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540201925.663 * [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)))))))) 1540201925.663 * * * * [misc]progress: [ 154 / 188 ] simplifiying candidate # 1540201925.663 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540201925.663 * * [misc]simplify: iters left: 6 (8 enodes) 1540201925.666 * * [misc]simplify: iters left: 5 (10 enodes) 1540201925.669 * * [misc]simplify: iters left: 4 (13 enodes) 1540201925.673 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540201925.673 * [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)))))) 1540201925.673 * * * * [misc]progress: [ 155 / 188 ] simplifiying candidate # 1540201925.673 * [enter]simplify: Simplifying (* (* (pow n 1/2) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201925.673 * * [misc]simplify: iters left: 6 (17 enodes) 1540201925.678 * * [misc]simplify: iters left: 5 (29 enodes) 1540201925.688 * * [misc]simplify: iters left: 4 (56 enodes) 1540201925.710 * * [misc]simplify: iters left: 3 (131 enodes) 1540201925.763 * * [misc]simplify: iters left: 2 (220 enodes) 1540201925.851 * * [misc]simplify: iters left: 1 (307 enodes) 1540201926.014 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (sqrt PI))) (* (sqrt n) (pow 2 (- 1/2 (/ k 2))))) 1540201926.014 * [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)))) 1540201926.014 * * * * [misc]progress: [ 156 / 188 ] simplifiying candidate # 1540201926.014 * * * * [misc]progress: [ 157 / 188 ] simplifiying candidate # 1540201926.014 * * * * [misc]progress: [ 158 / 188 ] simplifiying candidate # 1540201926.014 * * * * [misc]progress: [ 159 / 188 ] simplifiying candidate # 1540201926.014 * * * * [misc]progress: [ 160 / 188 ] simplifiying candidate # 1540201926.014 * [enter]simplify: Simplifying (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) 1540201926.014 * * [misc]simplify: iters left: 6 (12 enodes) 1540201926.016 * * [misc]simplify: iters left: 5 (17 enodes) 1540201926.018 * * [misc]simplify: iters left: 4 (27 enodes) 1540201926.024 * * [misc]simplify: iters left: 3 (47 enodes) 1540201926.030 * * [misc]simplify: iters left: 2 (77 enodes) 1540201926.041 * * [misc]simplify: iters left: 1 (100 enodes) 1540201926.054 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI))) 1540201926.054 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (fma (- 1/2 (/ k 2)) (log n) (log (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540201926.054 * * * * [misc]progress: [ 161 / 188 ] simplifiying candidate # 1540201926.054 * [enter]simplify: Simplifying (+ (log (pow n (- 1/2 (/ k 2)))) (log (sqrt PI))) 1540201926.054 * * [misc]simplify: iters left: 6 (12 enodes) 1540201926.057 * * [misc]simplify: iters left: 5 (17 enodes) 1540201926.062 * * [misc]simplify: iters left: 4 (22 enodes) 1540201926.068 * * [misc]simplify: iters left: 3 (30 enodes) 1540201926.078 * * [misc]simplify: iters left: 2 (58 enodes) 1540201926.094 * * [misc]simplify: iters left: 1 (97 enodes) 1540201926.124 * [exit]simplify: Simplified to (fma (log n) (- 1/2 (/ k 2)) (log (sqrt PI))) 1540201926.124 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (fma (log n) (- 1/2 (/ k 2)) (log (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540201926.124 * * * * [misc]progress: [ 162 / 188 ] simplifiying candidate # 1540201926.124 * * * * [misc]progress: [ 163 / 188 ] simplifiying candidate # 1540201926.124 * * * * [misc]progress: [ 164 / 188 ] simplifiying candidate # 1540201926.124 * [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))) 1540201926.124 * * [misc]simplify: iters left: 6 (14 enodes) 1540201926.129 * * [misc]simplify: iters left: 5 (23 enodes) 1540201926.136 * * [misc]simplify: iters left: 4 (51 enodes) 1540201926.151 * * [misc]simplify: iters left: 3 (85 enodes) 1540201926.175 * * [misc]simplify: iters left: 2 (106 enodes) 1540201926.201 * * [misc]simplify: iters left: 1 (112 enodes) 1540201926.229 * [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))))) 1540201926.229 * [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))))))) 1540201926.229 * * * * [misc]progress: [ 165 / 188 ] simplifiying candidate # 1540201926.229 * * * * [misc]progress: [ 166 / 188 ] simplifiying candidate # 1540201926.229 * * * * [misc]progress: [ 167 / 188 ] simplifiying candidate # 1540201926.230 * * * * [misc]progress: [ 168 / 188 ] simplifiying candidate # 1540201926.230 * * * * [misc]progress: [ 169 / 188 ] simplifiying candidate # 1540201926.230 * [enter]simplify: Simplifying (cbrt (sqrt PI)) 1540201926.230 * * [misc]simplify: iters left: 2 (3 enodes) 1540201926.231 * [exit]simplify: Simplified to (cbrt (sqrt PI)) 1540201926.231 * [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))))))) 1540201926.231 * * * * [misc]progress: [ 170 / 188 ] simplifiying candidate # 1540201926.231 * [enter]simplify: Simplifying (sqrt (sqrt PI)) 1540201926.231 * * [misc]simplify: iters left: 2 (3 enodes) 1540201926.232 * [exit]simplify: Simplified to (sqrt (sqrt PI)) 1540201926.232 * [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))))))) 1540201926.232 * * * * [misc]progress: [ 171 / 188 ] simplifiying candidate # 1540201926.233 * [enter]simplify: Simplifying (sqrt PI) 1540201926.233 * * [misc]simplify: iters left: 1 (2 enodes) 1540201926.233 * [exit]simplify: Simplified to (sqrt PI) 1540201926.233 * [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))))))) 1540201926.233 * * * * [misc]progress: [ 172 / 188 ] simplifiying candidate # 1540201926.233 * [enter]simplify: Simplifying (pow n 1/2) 1540201926.234 * * [misc]simplify: iters left: 1 (3 enodes) 1540201926.235 * [exit]simplify: Simplified to (sqrt n) 1540201926.235 * [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))))))) 1540201926.235 * * * * [misc]progress: [ 173 / 188 ] simplifiying candidate # 1540201926.235 * [enter]simplify: Simplifying (pow n 1/2) 1540201926.235 * * [misc]simplify: iters left: 1 (3 enodes) 1540201926.236 * [exit]simplify: Simplified to (sqrt n) 1540201926.236 * [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))))))) 1540201926.236 * * * * [misc]progress: [ 174 / 188 ] simplifiying candidate # 1540201926.236 * [enter]simplify: Simplifying (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201926.236 * * [misc]simplify: iters left: 6 (9 enodes) 1540201926.239 * * [misc]simplify: iters left: 5 (11 enodes) 1540201926.242 * * [misc]simplify: iters left: 4 (14 enodes) 1540201926.246 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201926.246 * [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))))))) 1540201926.247 * * * * [misc]progress: [ 175 / 188 ] simplifiying candidate # 1540201926.247 * [enter]simplify: Simplifying (sqrt (pow n (- 1/2 (/ k 2)))) 1540201926.247 * * [misc]simplify: iters left: 6 (8 enodes) 1540201926.249 * * [misc]simplify: iters left: 5 (10 enodes) 1540201926.252 * * [misc]simplify: iters left: 4 (13 enodes) 1540201926.256 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 1540201926.256 * [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))))))) 1540201926.256 * * * * [misc]progress: [ 176 / 188 ] simplifiying candidate # 1540201926.256 * * * * [misc]progress: [ 177 / 188 ] simplifiying candidate # 1540201926.256 * [enter]simplify: Simplifying (* (pow n 1/2) (sqrt PI)) 1540201926.257 * * [misc]simplify: iters left: 3 (6 enodes) 1540201926.258 * * [misc]simplify: iters left: 2 (8 enodes) 1540201926.261 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540201926.261 * [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))))))) 1540201926.261 * * * * [misc]progress: [ 178 / 188 ] simplifiying candidate # 1540201926.261 * * * * [misc]progress: [ 179 / 188 ] simplifiying candidate # 1540201926.262 * [enter]simplify: Simplifying (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540201926.262 * * [misc]simplify: iters left: 6 (17 enodes) 1540201926.267 * * [misc]simplify: iters left: 5 (28 enodes) 1540201926.275 * * [misc]simplify: iters left: 4 (55 enodes) 1540201926.291 * * [misc]simplify: iters left: 3 (129 enodes) 1540201926.317 * * [misc]simplify: iters left: 2 (216 enodes) 1540201926.375 * * [misc]simplify: iters left: 1 (306 enodes) 1540201926.483 * [exit]simplify: Simplified to (* (* (pow PI (- (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) 1540201926.483 * [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))))) 1540201926.483 * * * * [misc]progress: [ 180 / 188 ] simplifiying candidate # 1540201926.483 * [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)))))))))))))))) 1540201926.483 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) +nan.0))) 1540201926.483 * * * * [misc]progress: [ 181 / 188 ] simplifiying candidate # 1540201926.483 * [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)))))))) 1540201926.483 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) +nan.0))) 1540201926.483 * * * * [misc]progress: [ 182 / 188 ] simplifiying candidate # 1540201926.484 * [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)))))))) 1540201926.484 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) +nan.0))) 1540201926.484 * * * * [misc]progress: [ 183 / 188 ] simplifiying candidate # 1540201926.484 * [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)))))))))))))))))))))))))))))))) 1540201926.484 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540201926.484 * * * * [misc]progress: [ 184 / 188 ] simplifiying candidate # 1540201926.484 * [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)))))))) 1540201926.484 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540201926.485 * * * * [misc]progress: [ 185 / 188 ] simplifiying candidate # 1540201926.485 * [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)))))))) 1540201926.485 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540201926.485 * * * * [misc]progress: [ 186 / 188 ] simplifiying candidate # 1540201926.485 * [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)))) 1540201926.485 * * [misc]simplify: iters left: 6 (19 enodes) 1540201926.492 * * [misc]simplify: iters left: 5 (42 enodes) 1540201926.503 * * [misc]simplify: iters left: 4 (117 enodes) 1540201926.530 * * [misc]simplify: iters left: 3 (306 enodes) 1540201926.715 * [exit]simplify: Simplified to (fma 1/8 (* (sqrt (* PI n)) (* (* k (log n)) (* k (log n)))) (fma (sqrt (* PI n)) (* -1/2 (* k (log n))) (sqrt (* PI n)))) 1540201926.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fma 1/8 (* (sqrt (* PI n)) (* (* k (log n)) (* k (log n)))) (fma (sqrt (* PI n)) (* -1/2 (* k (log n))) (sqrt (* PI n)))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540201926.715 * * * * [misc]progress: [ 187 / 188 ] simplifiying candidate # 1540201926.715 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (sqrt PI)) 1540201926.716 * * [misc]simplify: iters left: 6 (15 enodes) 1540201926.719 * * [misc]simplify: iters left: 5 (32 enodes) 1540201926.724 * * [misc]simplify: iters left: 4 (71 enodes) 1540201926.737 * * [misc]simplify: iters left: 3 (188 enodes) 1540201926.880 * * [misc]simplify: iters left: 2 (457 enodes) 1540201927.208 * [exit]simplify: Simplified to (* (pow n (fma -1/2 k 1/2)) (sqrt PI)) 1540201927.208 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (fma -1/2 k 1/2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540201927.208 * * * * [misc]progress: [ 188 / 188 ] simplifiying candidate # 1540201927.208 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt PI)) 1540201927.208 * * [misc]simplify: iters left: 6 (15 enodes) 1540201927.211 * * [misc]simplify: iters left: 5 (26 enodes) 1540201927.215 * * [misc]simplify: iters left: 4 (56 enodes) 1540201927.228 * * [misc]simplify: iters left: 3 (153 enodes) 1540201927.279 * * [misc]simplify: iters left: 2 (465 enodes) 1540201927.929 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (sqrt PI)) 1540201927.929 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (fma k -1/2 1/2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540201927.929 * * * [misc]progress: adding candidates to table 1540201930.879 * * [misc]progress: iteration 4 / 4 1540201930.879 * * * [misc]progress: picking best candidate 1540201930.902 * * * * [misc]pick: Picked # 1540201930.902 * * * [misc]progress: localizing error 1540201930.930 * * * [misc]progress: generating rewritten candidates 1540201930.930 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1540201930.934 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1540201930.947 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1540201930.967 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1540201931.447 * * * [misc]progress: generating series expansions 1540201931.447 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1540201931.447 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540201931.447 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540201931.447 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201931.447 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201931.447 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201931.447 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.447 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.448 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.448 * [misc]taylor: Taking taylor expansion of k in k 1540201931.448 * [misc]backup-simplify: Simplify 0 into 0 1540201931.448 * [misc]backup-simplify: Simplify 1 into 1 1540201931.448 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.448 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.448 * [misc]backup-simplify: Simplify PI into PI 1540201931.448 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.449 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.449 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.449 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.449 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.450 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201931.450 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201931.450 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201931.450 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201931.450 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.450 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.450 * [misc]taylor: Taking taylor expansion of k in k 1540201931.450 * [misc]backup-simplify: Simplify 0 into 0 1540201931.450 * [misc]backup-simplify: Simplify 1 into 1 1540201931.450 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.450 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.450 * [misc]backup-simplify: Simplify PI into PI 1540201931.451 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.451 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.451 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.451 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.452 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.452 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201931.453 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540201931.455 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201931.455 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201931.455 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.455 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.456 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540201931.459 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540201931.460 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540201931.464 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201931.465 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201931.465 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.465 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.466 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540201931.470 * [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))) 1540201931.471 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540201931.474 * [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)))) 1540201931.474 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.474 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540201931.474 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201931.474 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201931.474 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201931.474 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201931.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.475 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.475 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.475 * [misc]taylor: Taking taylor expansion of k in k 1540201931.475 * [misc]backup-simplify: Simplify 0 into 0 1540201931.475 * [misc]backup-simplify: Simplify 1 into 1 1540201931.475 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.475 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.475 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.475 * [misc]backup-simplify: Simplify PI into PI 1540201931.475 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.476 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.476 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.476 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.476 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201931.477 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.477 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201931.477 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201931.477 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201931.477 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201931.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.477 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.477 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.477 * [misc]taylor: Taking taylor expansion of k in k 1540201931.477 * [misc]backup-simplify: Simplify 0 into 0 1540201931.477 * [misc]backup-simplify: Simplify 1 into 1 1540201931.477 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.477 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.477 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.477 * [misc]backup-simplify: Simplify PI into PI 1540201931.477 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.478 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.478 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.478 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.478 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201931.479 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.479 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.479 * [misc]backup-simplify: Simplify 0 into 0 1540201931.479 * [misc]backup-simplify: Simplify 0 into 0 1540201931.479 * [misc]backup-simplify: Simplify 0 into 0 1540201931.479 * [misc]backup-simplify: Simplify 0 into 0 1540201931.479 * [misc]backup-simplify: Simplify 0 into 0 1540201931.479 * [misc]backup-simplify: Simplify 0 into 0 1540201931.479 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540201931.480 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.480 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540201931.480 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201931.480 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201931.480 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201931.480 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201931.480 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.480 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.480 * [misc]taylor: Taking taylor expansion of k in k 1540201931.480 * [misc]backup-simplify: Simplify 0 into 0 1540201931.480 * [misc]backup-simplify: Simplify 1 into 1 1540201931.480 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.480 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.480 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.480 * [misc]backup-simplify: Simplify PI into PI 1540201931.481 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.481 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.481 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.481 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.482 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.482 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201931.482 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201931.482 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201931.482 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201931.482 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.482 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.482 * [misc]taylor: Taking taylor expansion of k in k 1540201931.482 * [misc]backup-simplify: Simplify 0 into 0 1540201931.482 * [misc]backup-simplify: Simplify 1 into 1 1540201931.482 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.482 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.482 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.483 * [misc]backup-simplify: Simplify PI into PI 1540201931.483 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.483 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.483 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.484 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.484 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.484 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.484 * [misc]backup-simplify: Simplify 0 into 0 1540201931.484 * [misc]backup-simplify: Simplify 0 into 0 1540201931.484 * [misc]backup-simplify: Simplify 0 into 0 1540201931.484 * [misc]backup-simplify: Simplify 0 into 0 1540201931.484 * [misc]backup-simplify: Simplify 0 into 0 1540201931.484 * [misc]backup-simplify: Simplify 0 into 0 1540201931.485 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540201931.485 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1540201931.485 * [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)) 1540201931.485 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (pow k 1/4)) in (k) around 0 1540201931.485 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (pow k 1/4)) in k 1540201931.485 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1540201931.485 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540201931.485 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540201931.485 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540201931.485 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.485 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.485 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.485 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.485 * [misc]taylor: Taking taylor expansion of k in k 1540201931.485 * [misc]backup-simplify: Simplify 0 into 0 1540201931.485 * [misc]backup-simplify: Simplify 1 into 1 1540201931.485 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201931.485 * [misc]taylor: Taking taylor expansion of 2 in k 1540201931.485 * [misc]backup-simplify: Simplify 2 into 2 1540201931.486 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201931.486 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.486 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.486 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.486 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201931.487 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540201931.488 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1540201931.488 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1540201931.488 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1540201931.488 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1540201931.488 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540201931.488 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.488 * [misc]taylor: Taking taylor expansion of (log k) in k 1540201931.488 * [misc]taylor: Taking taylor expansion of k in k 1540201931.488 * [misc]backup-simplify: Simplify 0 into 0 1540201931.488 * [misc]backup-simplify: Simplify 1 into 1 1540201931.488 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.488 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540201931.488 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540201931.488 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540201931.489 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (pow k 1/4)) in k 1540201931.489 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1540201931.489 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540201931.489 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540201931.489 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540201931.489 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.489 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.489 * [misc]taylor: Taking taylor expansion of k in k 1540201931.489 * [misc]backup-simplify: Simplify 0 into 0 1540201931.489 * [misc]backup-simplify: Simplify 1 into 1 1540201931.489 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201931.489 * [misc]taylor: Taking taylor expansion of 2 in k 1540201931.489 * [misc]backup-simplify: Simplify 2 into 2 1540201931.489 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201931.489 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.489 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.490 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.490 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201931.490 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540201931.491 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1540201931.491 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1540201931.491 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1540201931.491 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1540201931.491 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540201931.491 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.491 * [misc]taylor: Taking taylor expansion of (log k) in k 1540201931.491 * [misc]taylor: Taking taylor expansion of k in k 1540201931.491 * [misc]backup-simplify: Simplify 0 into 0 1540201931.491 * [misc]backup-simplify: Simplify 1 into 1 1540201931.491 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.492 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540201931.492 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540201931.492 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540201931.492 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 2)) (pow k 1/4)) into (* (sqrt 1/2) (pow k 1/4)) 1540201931.493 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (pow k 1/4)) into (* (sqrt 1/2) (pow k 1/4)) 1540201931.495 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201931.495 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540201931.495 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1540201931.496 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.499 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201931.499 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201931.500 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.500 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.500 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1540201931.503 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1540201931.506 * [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)))) 1540201931.508 * [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))) 1540201931.509 * [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))) 1540201931.511 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540201931.511 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540201931.512 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1540201931.513 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201931.515 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201931.515 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201931.515 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.515 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.516 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1540201931.518 * [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))) 1540201931.522 * [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))))) 1540201931.527 * [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)))) 1540201931.529 * [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)))) 1540201931.533 * [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)))) 1540201931.533 * [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)) 1540201931.533 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ 1 k) 1/4)) in (k) around 0 1540201931.533 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ 1 k) 1/4)) in k 1540201931.533 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1540201931.533 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201931.533 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540201931.533 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540201931.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201931.533 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.533 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.533 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.533 * [misc]taylor: Taking taylor expansion of k in k 1540201931.533 * [misc]backup-simplify: Simplify 0 into 0 1540201931.533 * [misc]backup-simplify: Simplify 1 into 1 1540201931.534 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.534 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201931.534 * [misc]taylor: Taking taylor expansion of 2 in k 1540201931.534 * [misc]backup-simplify: Simplify 2 into 2 1540201931.534 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201931.534 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.534 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.534 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.534 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540201931.534 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201931.535 * [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)))))) 1540201931.535 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1540201931.535 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1540201931.535 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1540201931.535 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540201931.535 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.535 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1540201931.535 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.535 * [misc]taylor: Taking taylor expansion of k in k 1540201931.535 * [misc]backup-simplify: Simplify 0 into 0 1540201931.535 * [misc]backup-simplify: Simplify 1 into 1 1540201931.535 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.535 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.535 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.535 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1540201931.535 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1540201931.535 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ 1 k) 1/4)) in k 1540201931.535 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1540201931.535 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201931.535 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540201931.535 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540201931.536 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201931.536 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.536 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.536 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.536 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.536 * [misc]taylor: Taking taylor expansion of k in k 1540201931.536 * [misc]backup-simplify: Simplify 0 into 0 1540201931.536 * [misc]backup-simplify: Simplify 1 into 1 1540201931.536 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.536 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201931.536 * [misc]taylor: Taking taylor expansion of 2 in k 1540201931.536 * [misc]backup-simplify: Simplify 2 into 2 1540201931.536 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201931.536 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.536 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.537 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.537 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540201931.537 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201931.537 * [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)))))) 1540201931.537 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1540201931.538 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1540201931.538 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1540201931.538 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540201931.538 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.538 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1540201931.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.538 * [misc]taylor: Taking taylor expansion of k in k 1540201931.538 * [misc]backup-simplify: Simplify 0 into 0 1540201931.538 * [misc]backup-simplify: Simplify 1 into 1 1540201931.538 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.538 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.538 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.538 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1540201931.538 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1540201931.539 * [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)) 1540201931.539 * [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)) 1540201931.540 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201931.542 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201931.542 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.542 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1540201931.543 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.544 * [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 1540201931.544 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (* 0 (pow k -1/4))) into 0 1540201931.544 * [misc]backup-simplify: Simplify 0 into 0 1540201931.545 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201931.549 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540201931.549 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.549 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1540201931.551 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201931.552 * [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 1540201931.553 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 1540201931.553 * [misc]backup-simplify: Simplify 0 into 0 1540201931.553 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201931.560 * [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 1540201931.560 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.560 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 1540201931.563 * [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 1540201931.565 * [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 1540201931.565 * [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 1540201931.565 * [misc]backup-simplify: Simplify 0 into 0 1540201931.566 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201931.574 * [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 1540201931.575 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.575 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 1540201931.578 * [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 1540201931.579 * [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 1540201931.580 * [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 1540201931.580 * [misc]backup-simplify: Simplify 0 into 0 1540201931.581 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201931.590 * [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 1540201931.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.591 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 1540201931.596 * [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 1540201931.597 * [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 1540201931.597 * [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 1540201931.597 * [misc]backup-simplify: Simplify 0 into 0 1540201931.598 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201931.621 * [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 1540201931.622 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.623 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 1540201931.635 * [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 1540201931.637 * [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 1540201931.638 * [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 1540201931.638 * [misc]backup-simplify: Simplify 0 into 0 1540201931.638 * [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)) 1540201931.639 * [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)))) 1540201931.639 * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (/ -1 k))) (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) in (k) around 0 1540201931.639 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ -1 k))) (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1540201931.639 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1540201931.639 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201931.639 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201931.639 * [misc]taylor: Taking taylor expansion of -1 in k 1540201931.639 * [misc]backup-simplify: Simplify -1 into -1 1540201931.639 * [misc]taylor: Taking taylor expansion of k in k 1540201931.639 * [misc]backup-simplify: Simplify 0 into 0 1540201931.639 * [misc]backup-simplify: Simplify 1 into 1 1540201931.639 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201931.639 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.640 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201931.640 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540201931.640 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201931.641 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201931.642 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1540201931.642 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540201931.642 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201931.642 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540201931.642 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540201931.642 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201931.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.642 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.642 * [misc]taylor: Taking taylor expansion of k in k 1540201931.642 * [misc]backup-simplify: Simplify 0 into 0 1540201931.642 * [misc]backup-simplify: Simplify 1 into 1 1540201931.642 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.642 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.642 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201931.642 * [misc]taylor: Taking taylor expansion of 2 in k 1540201931.642 * [misc]backup-simplify: Simplify 2 into 2 1540201931.643 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201931.643 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.643 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.643 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201931.643 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201931.644 * [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)))) 1540201931.644 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ -1 k))) (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1540201931.644 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1540201931.644 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201931.644 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201931.644 * [misc]taylor: Taking taylor expansion of -1 in k 1540201931.644 * [misc]backup-simplify: Simplify -1 into -1 1540201931.644 * [misc]taylor: Taking taylor expansion of k in k 1540201931.644 * [misc]backup-simplify: Simplify 0 into 0 1540201931.644 * [misc]backup-simplify: Simplify 1 into 1 1540201931.644 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201931.644 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.645 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201931.645 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540201931.645 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201931.646 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201931.647 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1540201931.647 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540201931.647 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201931.647 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540201931.647 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540201931.647 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201931.647 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.647 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.647 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.647 * [misc]taylor: Taking taylor expansion of k in k 1540201931.647 * [misc]backup-simplify: Simplify 0 into 0 1540201931.647 * [misc]backup-simplify: Simplify 1 into 1 1540201931.647 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.647 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.647 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201931.647 * [misc]taylor: Taking taylor expansion of 2 in k 1540201931.647 * [misc]backup-simplify: Simplify 2 into 2 1540201931.647 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201931.648 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.648 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.648 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201931.648 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201931.649 * [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)))) 1540201931.649 * [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)))) 1540201931.650 * [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)))) 1540201931.650 * [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 1540201931.651 * [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))))) 1540201931.651 * [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))))) 1540201931.652 * [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 1540201931.653 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201931.654 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201931.655 * [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))) 1540201931.658 * [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))))))) 1540201931.660 * [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))))))) 1540201931.663 * [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)))))))))) 1540201931.663 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1540201931.663 * [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)) 1540201931.664 * [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 1540201931.664 * [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 1540201931.664 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1540201931.664 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540201931.664 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540201931.664 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540201931.664 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201931.664 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.664 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201931.664 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.664 * [misc]taylor: Taking taylor expansion of k in n 1540201931.664 * [misc]backup-simplify: Simplify k into k 1540201931.664 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201931.664 * [misc]taylor: Taking taylor expansion of n in n 1540201931.664 * [misc]backup-simplify: Simplify 0 into 0 1540201931.664 * [misc]backup-simplify: Simplify 1 into 1 1540201931.664 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.664 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201931.664 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201931.664 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201931.665 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201931.665 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540201931.665 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540201931.665 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1540201931.665 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1540201931.665 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1540201931.665 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201931.665 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.665 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201931.665 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.665 * [misc]taylor: Taking taylor expansion of k in n 1540201931.665 * [misc]backup-simplify: Simplify k into k 1540201931.665 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.665 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.665 * [misc]backup-simplify: Simplify PI into PI 1540201931.666 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.666 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201931.666 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201931.666 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201931.666 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1540201931.667 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1540201931.667 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540201931.667 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540201931.667 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540201931.667 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.667 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.667 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540201931.667 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.667 * [misc]taylor: Taking taylor expansion of k in n 1540201931.667 * [misc]backup-simplify: Simplify k into k 1540201931.667 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.667 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540201931.667 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540201931.667 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540201931.667 * [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 1540201931.667 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540201931.667 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540201931.667 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540201931.667 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540201931.667 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.667 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.667 * [misc]taylor: Taking taylor expansion of k in k 1540201931.667 * [misc]backup-simplify: Simplify 0 into 0 1540201931.667 * [misc]backup-simplify: Simplify 1 into 1 1540201931.668 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201931.668 * [misc]taylor: Taking taylor expansion of n in k 1540201931.668 * [misc]backup-simplify: Simplify n into n 1540201931.668 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201931.668 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.668 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.668 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.668 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540201931.668 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540201931.668 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201931.668 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201931.668 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201931.668 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.668 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.668 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.668 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.668 * [misc]taylor: Taking taylor expansion of k in k 1540201931.669 * [misc]backup-simplify: Simplify 0 into 0 1540201931.669 * [misc]backup-simplify: Simplify 1 into 1 1540201931.669 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.669 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.669 * [misc]backup-simplify: Simplify PI into PI 1540201931.669 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.669 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.669 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.669 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.670 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.670 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201931.670 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1540201931.671 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1540201931.671 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1540201931.671 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540201931.671 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.671 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1540201931.671 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.671 * [misc]taylor: Taking taylor expansion of k in k 1540201931.671 * [misc]backup-simplify: Simplify 0 into 0 1540201931.671 * [misc]backup-simplify: Simplify 1 into 1 1540201931.671 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.671 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.671 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.671 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1540201931.671 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1540201931.671 * [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 1540201931.671 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540201931.672 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540201931.672 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540201931.672 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540201931.672 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.672 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.672 * [misc]taylor: Taking taylor expansion of k in k 1540201931.672 * [misc]backup-simplify: Simplify 0 into 0 1540201931.672 * [misc]backup-simplify: Simplify 1 into 1 1540201931.672 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201931.672 * [misc]taylor: Taking taylor expansion of n in k 1540201931.672 * [misc]backup-simplify: Simplify n into n 1540201931.672 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201931.672 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.672 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.672 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.672 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540201931.673 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540201931.673 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201931.673 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201931.673 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201931.673 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.673 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.673 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.673 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.673 * [misc]taylor: Taking taylor expansion of k in k 1540201931.673 * [misc]backup-simplify: Simplify 0 into 0 1540201931.673 * [misc]backup-simplify: Simplify 1 into 1 1540201931.673 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.673 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.673 * [misc]backup-simplify: Simplify PI into PI 1540201931.673 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.673 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.674 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.674 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.674 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.675 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201931.675 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1540201931.675 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1540201931.675 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1540201931.675 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540201931.675 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.675 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1540201931.675 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.675 * [misc]taylor: Taking taylor expansion of k in k 1540201931.675 * [misc]backup-simplify: Simplify 0 into 0 1540201931.675 * [misc]backup-simplify: Simplify 1 into 1 1540201931.675 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.675 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.676 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.676 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1540201931.676 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1540201931.676 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow PI 1/2)) into (sqrt (* n PI)) 1540201931.676 * [misc]backup-simplify: Simplify (* (sqrt (* n PI)) (pow k -1/4)) into (* (sqrt (* n PI)) (pow (/ 1 k) 1/4)) 1540201931.676 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (/ 1 k) 1/4)) in n 1540201931.676 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201931.676 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201931.676 * [misc]taylor: Taking taylor expansion of n in n 1540201931.676 * [misc]backup-simplify: Simplify 0 into 0 1540201931.676 * [misc]backup-simplify: Simplify 1 into 1 1540201931.676 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.676 * [misc]backup-simplify: Simplify PI into PI 1540201931.677 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201931.677 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201931.677 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.678 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201931.678 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540201931.678 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540201931.678 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540201931.678 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.678 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.678 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540201931.678 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.678 * [misc]taylor: Taking taylor expansion of k in n 1540201931.678 * [misc]backup-simplify: Simplify k into k 1540201931.678 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.678 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540201931.678 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540201931.678 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540201931.679 * [misc]backup-simplify: Simplify (* 0 (pow (/ 1 k) 1/4)) into 0 1540201931.679 * [misc]backup-simplify: Simplify 0 into 0 1540201931.679 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201931.681 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201931.681 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.681 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1540201931.682 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.685 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201931.685 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201931.685 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.685 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.686 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540201931.689 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540201931.690 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540201931.690 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201931.691 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.691 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1540201931.691 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1540201931.693 * [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))))) 1540201931.694 * [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)))))) 1540201931.694 * [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 1540201931.694 * [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 1540201931.694 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (* (log n) (pow (/ 1 k) 1/4)))) in n 1540201931.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.694 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (log n) (pow (/ 1 k) 1/4))) in n 1540201931.694 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201931.694 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201931.694 * [misc]taylor: Taking taylor expansion of n in n 1540201931.694 * [misc]backup-simplify: Simplify 0 into 0 1540201931.694 * [misc]backup-simplify: Simplify 1 into 1 1540201931.694 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.694 * [misc]backup-simplify: Simplify PI into PI 1540201931.694 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201931.695 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201931.695 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.696 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201931.696 * [misc]taylor: Taking taylor expansion of (* (log n) (pow (/ 1 k) 1/4)) in n 1540201931.696 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201931.696 * [misc]taylor: Taking taylor expansion of n in n 1540201931.696 * [misc]backup-simplify: Simplify 0 into 0 1540201931.696 * [misc]backup-simplify: Simplify 1 into 1 1540201931.696 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.696 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540201931.696 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540201931.696 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540201931.696 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.696 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.696 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540201931.696 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.696 * [misc]taylor: Taking taylor expansion of k in n 1540201931.696 * [misc]backup-simplify: Simplify k into k 1540201931.696 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.696 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540201931.696 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540201931.696 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540201931.696 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (* (log PI) (pow (/ 1 k) 1/4)))) in n 1540201931.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.697 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (log PI) (pow (/ 1 k) 1/4))) in n 1540201931.697 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201931.697 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201931.697 * [misc]taylor: Taking taylor expansion of n in n 1540201931.697 * [misc]backup-simplify: Simplify 0 into 0 1540201931.697 * [misc]backup-simplify: Simplify 1 into 1 1540201931.697 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.697 * [misc]backup-simplify: Simplify PI into PI 1540201931.697 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201931.698 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201931.698 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.698 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201931.698 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow (/ 1 k) 1/4)) in n 1540201931.698 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.698 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.698 * [misc]backup-simplify: Simplify PI into PI 1540201931.699 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.699 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540201931.699 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540201931.699 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540201931.699 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.699 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.699 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540201931.699 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.699 * [misc]taylor: Taking taylor expansion of k in n 1540201931.699 * [misc]backup-simplify: Simplify k into k 1540201931.699 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.699 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540201931.699 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540201931.699 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540201931.699 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201931.700 * [misc]backup-simplify: Simplify (* (log n) (pow (/ 1 k) 1/4)) into (* (log n) (pow (/ 1 k) 1/4)) 1540201931.700 * [misc]backup-simplify: Simplify (* 0 (* (log n) (pow (/ 1 k) 1/4))) into 0 1540201931.700 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.700 * [misc]backup-simplify: Simplify (* (log PI) (pow (/ 1 k) 1/4)) into (* (log PI) (pow (/ 1 k) 1/4)) 1540201931.701 * [misc]backup-simplify: Simplify (* 0 (* (log PI) (pow (/ 1 k) 1/4))) into 0 1540201931.701 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.701 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.701 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.701 * [misc]backup-simplify: Simplify 0 into 0 1540201931.701 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201931.702 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1540201931.702 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1540201931.703 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.704 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (pow (/ 1 k) 1/4))) into (- (* +nan.0 (* PI (pow (/ 1 k) 1/4)))) 1540201931.704 * [misc]backup-simplify: Simplify (- (* +nan.0 (* PI (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* PI (pow (/ 1 k) 1/4)))) 1540201931.704 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201931.710 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540201931.710 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540201931.711 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1540201931.712 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201931.717 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201931.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201931.717 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.719 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540201931.723 * [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))) 1540201931.724 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540201931.724 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201931.725 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.725 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1540201931.726 * [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))) 1540201931.729 * [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))))) 1540201931.732 * [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)))))) 1540201931.732 * [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 1540201931.732 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (* (pow (log PI) 2) (pow (/ 1 k) 1/4)))) in n 1540201931.732 * [misc]taylor: Taking taylor expansion of 1/8 in n 1540201931.732 * [misc]backup-simplify: Simplify 1/8 into 1/8 1540201931.732 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (pow (log PI) 2) (pow (/ 1 k) 1/4))) in n 1540201931.732 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201931.732 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201931.732 * [misc]taylor: Taking taylor expansion of n in n 1540201931.732 * [misc]backup-simplify: Simplify 0 into 0 1540201931.732 * [misc]backup-simplify: Simplify 1 into 1 1540201931.732 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.732 * [misc]backup-simplify: Simplify PI into PI 1540201931.733 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201931.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201931.733 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.734 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201931.734 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (pow (/ 1 k) 1/4)) in n 1540201931.734 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1540201931.734 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.734 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.734 * [misc]backup-simplify: Simplify PI into PI 1540201931.734 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.734 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540201931.734 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540201931.734 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540201931.734 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.734 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.734 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540201931.734 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.734 * [misc]taylor: Taking taylor expansion of k in n 1540201931.734 * [misc]backup-simplify: Simplify k into k 1540201931.735 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.735 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540201931.735 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540201931.735 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540201931.735 * [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 1540201931.735 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (pow (/ 1 k) 1/4) (* (* (log PI) (log n)) (sqrt (* PI n))))) in n 1540201931.735 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.735 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.735 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (* (log PI) (log n)) (sqrt (* PI n)))) in n 1540201931.735 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540201931.735 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540201931.735 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540201931.735 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.735 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.735 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540201931.735 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.735 * [misc]taylor: Taking taylor expansion of k in n 1540201931.735 * [misc]backup-simplify: Simplify k into k 1540201931.735 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.735 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540201931.735 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540201931.736 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540201931.736 * [misc]taylor: Taking taylor expansion of (* (* (log PI) (log n)) (sqrt (* PI n))) in n 1540201931.736 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1540201931.736 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.736 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.736 * [misc]backup-simplify: Simplify PI into PI 1540201931.736 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.736 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201931.736 * [misc]taylor: Taking taylor expansion of n in n 1540201931.736 * [misc]backup-simplify: Simplify 0 into 0 1540201931.736 * [misc]backup-simplify: Simplify 1 into 1 1540201931.736 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.736 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201931.736 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201931.736 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.736 * [misc]backup-simplify: Simplify PI into PI 1540201931.736 * [misc]taylor: Taking taylor expansion of n in n 1540201931.736 * [misc]backup-simplify: Simplify 0 into 0 1540201931.736 * [misc]backup-simplify: Simplify 1 into 1 1540201931.737 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201931.737 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201931.737 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.738 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201931.738 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow (/ 1 k) 1/4)))) in n 1540201931.738 * [misc]taylor: Taking taylor expansion of 1/8 in n 1540201931.738 * [misc]backup-simplify: Simplify 1/8 into 1/8 1540201931.738 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (pow (log n) 2) (pow (/ 1 k) 1/4))) in n 1540201931.738 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201931.738 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201931.738 * [misc]taylor: Taking taylor expansion of n in n 1540201931.738 * [misc]backup-simplify: Simplify 0 into 0 1540201931.738 * [misc]backup-simplify: Simplify 1 into 1 1540201931.738 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.738 * [misc]backup-simplify: Simplify PI into PI 1540201931.738 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201931.739 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201931.739 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.739 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201931.740 * [misc]taylor: Taking taylor expansion of (* (pow (log n) 2) (pow (/ 1 k) 1/4)) in n 1540201931.740 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1540201931.740 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201931.740 * [misc]taylor: Taking taylor expansion of n in n 1540201931.740 * [misc]backup-simplify: Simplify 0 into 0 1540201931.740 * [misc]backup-simplify: Simplify 1 into 1 1540201931.740 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.740 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201931.740 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540201931.740 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540201931.740 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540201931.740 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.740 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.740 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540201931.740 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.740 * [misc]taylor: Taking taylor expansion of k in n 1540201931.740 * [misc]backup-simplify: Simplify k into k 1540201931.740 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.740 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540201931.740 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540201931.741 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540201931.741 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1540201931.742 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) (pow (/ 1 k) 1/4)) into (* (pow (log PI) 2) (pow (/ 1 k) 1/4)) 1540201931.742 * [misc]backup-simplify: Simplify (* 0 (* (pow (log PI) 2) (pow (/ 1 k) 1/4))) into 0 1540201931.742 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1540201931.743 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201931.743 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1540201931.743 * [misc]backup-simplify: Simplify (* (* (log PI) (log n)) 0) into 0 1540201931.743 * [misc]backup-simplify: Simplify (* (pow (/ 1 k) 1/4) 0) into 0 1540201931.744 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1540201931.744 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201931.744 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201931.744 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1540201931.744 * [misc]backup-simplify: Simplify (* (pow (log n) 2) (pow (/ 1 k) 1/4)) into (* (pow (log n) 2) (pow (/ 1 k) 1/4)) 1540201931.744 * [misc]backup-simplify: Simplify (* 0 (* (pow (log n) 2) (pow (/ 1 k) 1/4))) into 0 1540201931.745 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1540201931.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.745 * [misc]backup-simplify: Simplify 0 into 0 1540201931.745 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201931.745 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201931.746 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1540201931.746 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1540201931.747 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.749 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201931.750 * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (pow (/ 1 k) 1/4))) into 0 1540201931.750 * [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)))) 1540201931.751 * [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)))) 1540201931.751 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201931.752 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1540201931.752 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1540201931.753 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.755 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201931.756 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (pow (/ 1 k) 1/4))) into 0 1540201931.757 * [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)))) 1540201931.758 * [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)))) 1540201931.759 * [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)))))) 1540201931.760 * [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)))))) 1540201931.761 * [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)))))) 1540201931.761 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201931.763 * [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 1540201931.763 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 1540201931.765 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201931.766 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540201931.767 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540201931.769 * [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)))) 1540201931.770 * [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)))) 1540201931.772 * [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)))))))))) 1540201931.773 * [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)) 1540201931.773 * [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 1540201931.773 * [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 1540201931.773 * [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 1540201931.773 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201931.773 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201931.773 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201931.773 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201931.773 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.773 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.773 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.773 * [misc]taylor: Taking taylor expansion of k in n 1540201931.773 * [misc]backup-simplify: Simplify k into k 1540201931.773 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.773 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.773 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.773 * [misc]backup-simplify: Simplify PI into PI 1540201931.774 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.774 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.774 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201931.774 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201931.774 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201931.775 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.775 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201931.775 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201931.775 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201931.775 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201931.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.775 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.775 * [misc]taylor: Taking taylor expansion of k in n 1540201931.775 * [misc]backup-simplify: Simplify k into k 1540201931.775 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.775 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201931.775 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201931.775 * [misc]taylor: Taking taylor expansion of n in n 1540201931.775 * [misc]backup-simplify: Simplify 0 into 0 1540201931.775 * [misc]backup-simplify: Simplify 1 into 1 1540201931.775 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.776 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.776 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.776 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201931.776 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201931.776 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201931.776 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201931.776 * [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)))) 1540201931.776 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1540201931.776 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1540201931.776 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1540201931.777 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.777 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.777 * [misc]taylor: Taking taylor expansion of (log k) in n 1540201931.777 * [misc]taylor: Taking taylor expansion of k in n 1540201931.777 * [misc]backup-simplify: Simplify k into k 1540201931.777 * [misc]backup-simplify: Simplify (log k) into (log k) 1540201931.777 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540201931.777 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540201931.777 * [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 1540201931.777 * [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 1540201931.777 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201931.777 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201931.777 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201931.777 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201931.777 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.777 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.777 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.777 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.777 * [misc]taylor: Taking taylor expansion of k in k 1540201931.777 * [misc]backup-simplify: Simplify 0 into 0 1540201931.777 * [misc]backup-simplify: Simplify 1 into 1 1540201931.777 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.777 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.778 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.778 * [misc]backup-simplify: Simplify PI into PI 1540201931.778 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.778 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.778 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.778 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.779 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201931.779 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.779 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201931.779 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540201931.779 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540201931.779 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201931.779 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.779 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.779 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.779 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.780 * [misc]taylor: Taking taylor expansion of k in k 1540201931.780 * [misc]backup-simplify: Simplify 0 into 0 1540201931.780 * [misc]backup-simplify: Simplify 1 into 1 1540201931.780 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.780 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540201931.780 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540201931.780 * [misc]taylor: Taking taylor expansion of n in k 1540201931.780 * [misc]backup-simplify: Simplify n into n 1540201931.780 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540201931.780 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540201931.780 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.780 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.780 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.780 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540201931.781 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.781 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1540201931.781 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1540201931.781 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1540201931.781 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540201931.781 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.781 * [misc]taylor: Taking taylor expansion of (log k) in k 1540201931.781 * [misc]taylor: Taking taylor expansion of k in k 1540201931.781 * [misc]backup-simplify: Simplify 0 into 0 1540201931.781 * [misc]backup-simplify: Simplify 1 into 1 1540201931.781 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.781 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540201931.781 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540201931.781 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540201931.781 * [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 1540201931.781 * [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 1540201931.781 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201931.782 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201931.782 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201931.782 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201931.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.782 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.782 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.782 * [misc]taylor: Taking taylor expansion of k in k 1540201931.782 * [misc]backup-simplify: Simplify 0 into 0 1540201931.782 * [misc]backup-simplify: Simplify 1 into 1 1540201931.782 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.782 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.782 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.782 * [misc]backup-simplify: Simplify PI into PI 1540201931.782 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.782 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.783 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.783 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.783 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201931.783 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.783 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201931.784 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540201931.784 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540201931.784 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201931.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.784 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.784 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.784 * [misc]taylor: Taking taylor expansion of k in k 1540201931.784 * [misc]backup-simplify: Simplify 0 into 0 1540201931.784 * [misc]backup-simplify: Simplify 1 into 1 1540201931.784 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.784 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540201931.784 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540201931.784 * [misc]taylor: Taking taylor expansion of n in k 1540201931.784 * [misc]backup-simplify: Simplify n into n 1540201931.784 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540201931.784 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540201931.784 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.784 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.785 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.785 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540201931.785 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.785 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1540201931.785 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1540201931.785 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1540201931.785 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540201931.785 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.785 * [misc]taylor: Taking taylor expansion of (log k) in k 1540201931.785 * [misc]taylor: Taking taylor expansion of k in k 1540201931.785 * [misc]backup-simplify: Simplify 0 into 0 1540201931.785 * [misc]backup-simplify: Simplify 1 into 1 1540201931.785 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.785 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540201931.786 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540201931.786 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540201931.786 * [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))))) 1540201931.786 * [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)) 1540201931.786 * [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 1540201931.786 * [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 1540201931.786 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201931.786 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201931.786 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201931.786 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201931.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.787 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.787 * [misc]taylor: Taking taylor expansion of k in n 1540201931.787 * [misc]backup-simplify: Simplify k into k 1540201931.787 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.787 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.787 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.787 * [misc]backup-simplify: Simplify PI into PI 1540201931.787 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.787 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.787 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201931.787 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201931.788 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201931.788 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201931.788 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201931.788 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201931.788 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201931.788 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201931.788 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.788 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.788 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.788 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.788 * [misc]taylor: Taking taylor expansion of k in n 1540201931.788 * [misc]backup-simplify: Simplify k into k 1540201931.788 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.788 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201931.788 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201931.789 * [misc]taylor: Taking taylor expansion of n in n 1540201931.789 * [misc]backup-simplify: Simplify 0 into 0 1540201931.789 * [misc]backup-simplify: Simplify 1 into 1 1540201931.789 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.789 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.789 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.789 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201931.789 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201931.789 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201931.790 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201931.790 * [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)))) 1540201931.790 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1540201931.790 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1540201931.790 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1540201931.790 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540201931.790 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540201931.790 * [misc]taylor: Taking taylor expansion of (log k) in n 1540201931.790 * [misc]taylor: Taking taylor expansion of k in n 1540201931.790 * [misc]backup-simplify: Simplify k into k 1540201931.790 * [misc]backup-simplify: Simplify (log k) into (log k) 1540201931.790 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540201931.790 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540201931.790 * [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))))) 1540201931.791 * [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)) 1540201931.791 * [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)) 1540201931.793 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201931.794 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540201931.794 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1540201931.795 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.795 * [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 1540201931.795 * [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 1540201931.795 * [misc]taylor: Taking taylor expansion of 0 in n 1540201931.795 * [misc]backup-simplify: Simplify 0 into 0 1540201931.796 * [misc]backup-simplify: Simplify 0 into 0 1540201931.796 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 1540201931.796 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1540201931.797 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.798 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201931.800 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201931.800 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201931.800 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201931.800 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.801 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.801 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201931.801 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1540201931.802 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.804 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201931.804 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201931.805 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201931.805 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.806 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540201931.807 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.807 * [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 1540201931.808 * [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 1540201931.808 * [misc]backup-simplify: Simplify 0 into 0 1540201931.812 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540201931.812 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540201931.812 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1540201931.814 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201931.814 * [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 1540201931.815 * [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 1540201931.815 * [misc]taylor: Taking taylor expansion of 0 in n 1540201931.815 * [misc]backup-simplify: Simplify 0 into 0 1540201931.815 * [misc]backup-simplify: Simplify 0 into 0 1540201931.815 * [misc]backup-simplify: Simplify 0 into 0 1540201931.816 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 1540201931.817 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1540201931.818 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201931.819 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201931.823 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540201931.823 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201931.823 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201931.824 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.824 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.824 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201931.824 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1540201931.826 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201931.830 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201931.830 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540201931.831 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540201931.831 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.832 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1540201931.834 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540201931.834 * [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 1540201931.835 * [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 1540201931.835 * [misc]backup-simplify: Simplify 0 into 0 1540201931.841 * [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 1540201931.842 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540201931.842 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1540201931.845 * [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 1540201931.846 * [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 1540201931.846 * [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 1540201931.846 * [misc]taylor: Taking taylor expansion of 0 in n 1540201931.847 * [misc]backup-simplify: Simplify 0 into 0 1540201931.847 * [misc]backup-simplify: Simplify 0 into 0 1540201931.847 * [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)) 1540201931.847 * [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)))) 1540201931.847 * [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 1540201931.847 * [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 1540201931.847 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 1540201931.847 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 1540201931.847 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540201931.847 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540201931.847 * [misc]taylor: Taking taylor expansion of -1 in n 1540201931.847 * [misc]backup-simplify: Simplify -1 into -1 1540201931.848 * [misc]taylor: Taking taylor expansion of k in n 1540201931.848 * [misc]backup-simplify: Simplify k into k 1540201931.848 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540201931.848 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540201931.848 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540201931.848 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540201931.848 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 1540201931.848 * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 1540201931.848 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1540201931.848 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1540201931.848 * [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 1540201931.848 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.848 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201931.848 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201931.848 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.848 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.848 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.848 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.848 * [misc]taylor: Taking taylor expansion of k in n 1540201931.848 * [misc]backup-simplify: Simplify k into k 1540201931.848 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.848 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.848 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201931.848 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201931.848 * [misc]taylor: Taking taylor expansion of -1 in n 1540201931.848 * [misc]backup-simplify: Simplify -1 into -1 1540201931.848 * [misc]taylor: Taking taylor expansion of n in n 1540201931.848 * [misc]backup-simplify: Simplify 0 into 0 1540201931.848 * [misc]backup-simplify: Simplify 1 into 1 1540201931.849 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201931.849 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201931.849 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.849 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.849 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201931.849 * [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))) 1540201931.849 * [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)))) 1540201931.849 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.849 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201931.849 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201931.849 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.849 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.849 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.850 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.850 * [misc]taylor: Taking taylor expansion of k in n 1540201931.850 * [misc]backup-simplify: Simplify k into k 1540201931.850 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.850 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.850 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.850 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.850 * [misc]backup-simplify: Simplify PI into PI 1540201931.850 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.850 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.850 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.850 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201931.851 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.851 * [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 1540201931.851 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1540201931.851 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540201931.851 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201931.851 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201931.851 * [misc]taylor: Taking taylor expansion of -1 in k 1540201931.851 * [misc]backup-simplify: Simplify -1 into -1 1540201931.851 * [misc]taylor: Taking taylor expansion of k in k 1540201931.851 * [misc]backup-simplify: Simplify 0 into 0 1540201931.851 * [misc]backup-simplify: Simplify 1 into 1 1540201931.851 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201931.851 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.851 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201931.851 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540201931.851 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540201931.852 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201931.852 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201931.853 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1540201931.853 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1540201931.853 * [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 1540201931.853 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201931.853 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540201931.853 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540201931.853 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201931.853 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.853 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.853 * [misc]taylor: Taking taylor expansion of k in k 1540201931.853 * [misc]backup-simplify: Simplify 0 into 0 1540201931.853 * [misc]backup-simplify: Simplify 1 into 1 1540201931.853 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.853 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540201931.853 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540201931.853 * [misc]taylor: Taking taylor expansion of -1 in k 1540201931.853 * [misc]backup-simplify: Simplify -1 into -1 1540201931.853 * [misc]taylor: Taking taylor expansion of n in k 1540201931.854 * [misc]backup-simplify: Simplify n into n 1540201931.854 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540201931.854 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540201931.854 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.854 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.854 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540201931.854 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.854 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201931.854 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201931.854 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201931.854 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201931.854 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.854 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.854 * [misc]taylor: Taking taylor expansion of k in k 1540201931.854 * [misc]backup-simplify: Simplify 0 into 0 1540201931.854 * [misc]backup-simplify: Simplify 1 into 1 1540201931.854 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.854 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.854 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.854 * [misc]backup-simplify: Simplify PI into PI 1540201931.855 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.855 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.855 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.855 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.855 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.855 * [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 1540201931.855 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1540201931.855 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540201931.855 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201931.855 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201931.855 * [misc]taylor: Taking taylor expansion of -1 in k 1540201931.855 * [misc]backup-simplify: Simplify -1 into -1 1540201931.855 * [misc]taylor: Taking taylor expansion of k in k 1540201931.855 * [misc]backup-simplify: Simplify 0 into 0 1540201931.855 * [misc]backup-simplify: Simplify 1 into 1 1540201931.856 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201931.856 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.856 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201931.856 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540201931.856 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540201931.856 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201931.857 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201931.857 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1540201931.858 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1540201931.858 * [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 1540201931.858 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201931.858 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540201931.858 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540201931.858 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201931.858 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.858 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.858 * [misc]taylor: Taking taylor expansion of k in k 1540201931.858 * [misc]backup-simplify: Simplify 0 into 0 1540201931.858 * [misc]backup-simplify: Simplify 1 into 1 1540201931.858 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.858 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540201931.858 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540201931.858 * [misc]taylor: Taking taylor expansion of -1 in k 1540201931.858 * [misc]backup-simplify: Simplify -1 into -1 1540201931.858 * [misc]taylor: Taking taylor expansion of n in k 1540201931.858 * [misc]backup-simplify: Simplify n into n 1540201931.858 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540201931.858 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540201931.858 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.859 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.859 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540201931.859 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.859 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201931.859 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201931.860 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201931.860 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201931.860 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201931.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.860 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.860 * [misc]taylor: Taking taylor expansion of k in k 1540201931.860 * [misc]backup-simplify: Simplify 0 into 0 1540201931.860 * [misc]backup-simplify: Simplify 1 into 1 1540201931.860 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.860 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.860 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.860 * [misc]backup-simplify: Simplify PI into PI 1540201931.860 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.860 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201931.860 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.861 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.861 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.861 * [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))) 1540201931.861 * [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)))) 1540201931.861 * [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 1540201931.861 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.861 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201931.861 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201931.861 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.861 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.861 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.861 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.862 * [misc]taylor: Taking taylor expansion of k in n 1540201931.862 * [misc]backup-simplify: Simplify k into k 1540201931.862 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.862 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201931.862 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201931.862 * [misc]taylor: Taking taylor expansion of -1 in n 1540201931.862 * [misc]backup-simplify: Simplify -1 into -1 1540201931.862 * [misc]taylor: Taking taylor expansion of n in n 1540201931.862 * [misc]backup-simplify: Simplify 0 into 0 1540201931.862 * [misc]backup-simplify: Simplify 1 into 1 1540201931.862 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201931.862 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201931.862 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.862 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.862 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201931.862 * [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))) 1540201931.863 * [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)))) 1540201931.863 * [misc]taylor: Taking taylor expansion of (* (sqrt +nan.0) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201931.863 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1540201931.863 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201931.863 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201931.863 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540201931.863 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1540201931.863 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.863 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201931.863 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201931.863 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.863 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.863 * [misc]taylor: Taking taylor expansion of k in n 1540201931.863 * [misc]backup-simplify: Simplify k into k 1540201931.863 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.863 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.863 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.863 * [misc]backup-simplify: Simplify PI into PI 1540201931.863 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.864 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.864 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.864 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201931.864 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.864 * [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))) 1540201931.865 * [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)))) 1540201931.865 * [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)))))) 1540201931.865 * [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 1540201931.866 * [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)))) 1540201931.866 * [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 1540201931.866 * [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 1540201931.866 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201931.866 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201931.866 * [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 1540201931.866 * [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 1540201931.866 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.866 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201931.866 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201931.866 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.866 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.866 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.866 * [misc]taylor: Taking taylor expansion of k in n 1540201931.866 * [misc]backup-simplify: Simplify k into k 1540201931.866 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.866 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201931.866 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201931.866 * [misc]taylor: Taking taylor expansion of -1 in n 1540201931.866 * [misc]backup-simplify: Simplify -1 into -1 1540201931.866 * [misc]taylor: Taking taylor expansion of n in n 1540201931.866 * [misc]backup-simplify: Simplify 0 into 0 1540201931.866 * [misc]backup-simplify: Simplify 1 into 1 1540201931.866 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201931.866 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201931.866 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.866 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.867 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201931.867 * [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))) 1540201931.867 * [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)))) 1540201931.867 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.867 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201931.867 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201931.867 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.867 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.867 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.867 * [misc]taylor: Taking taylor expansion of k in n 1540201931.867 * [misc]backup-simplify: Simplify k into k 1540201931.867 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.867 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.868 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.868 * [misc]backup-simplify: Simplify PI into PI 1540201931.868 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.868 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.868 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.868 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201931.869 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.869 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1540201931.869 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201931.869 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201931.869 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540201931.869 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1540201931.869 * [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))) 1540201931.869 * [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)) 1540201931.870 * [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))) 1540201931.870 * [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)))) 1540201931.871 * [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)))) 1540201931.872 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201931.872 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201931.873 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201931.873 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.873 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1540201931.874 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.874 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1540201931.875 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201931.876 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540201931.876 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201931.876 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201931.876 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.877 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201931.877 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1540201931.878 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201931.878 * [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 1540201931.878 * [misc]backup-simplify: Simplify 0 into 0 1540201931.878 * [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 1540201931.878 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201931.879 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201931.880 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1540201931.881 * [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))) 1540201931.883 * [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)))))) 1540201931.883 * [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 1540201931.883 * [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 1540201931.883 * [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 1540201931.883 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201931.883 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201931.883 * [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 1540201931.883 * [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 1540201931.883 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.884 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201931.884 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201931.884 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.884 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.884 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.884 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.884 * [misc]taylor: Taking taylor expansion of k in n 1540201931.884 * [misc]backup-simplify: Simplify k into k 1540201931.884 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.884 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.884 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201931.884 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201931.884 * [misc]taylor: Taking taylor expansion of -1 in n 1540201931.884 * [misc]backup-simplify: Simplify -1 into -1 1540201931.884 * [misc]taylor: Taking taylor expansion of n in n 1540201931.884 * [misc]backup-simplify: Simplify 0 into 0 1540201931.884 * [misc]backup-simplify: Simplify 1 into 1 1540201931.884 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201931.884 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201931.885 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.885 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201931.885 * [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))) 1540201931.886 * [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)))) 1540201931.886 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.886 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201931.886 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201931.886 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.886 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.886 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.886 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.886 * [misc]taylor: Taking taylor expansion of k in n 1540201931.886 * [misc]backup-simplify: Simplify k into k 1540201931.886 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.886 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.886 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.886 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.886 * [misc]backup-simplify: Simplify PI into PI 1540201931.886 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.887 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.887 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.887 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201931.887 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.887 * [misc]taylor: Taking taylor expansion of (pow (sqrt +nan.0) 3) in n 1540201931.887 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1540201931.887 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201931.887 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201931.888 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540201931.888 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1540201931.888 * [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))) 1540201931.889 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2) 1540201931.890 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3) 1540201931.890 * [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)) 1540201931.891 * [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 1540201931.891 * [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 1540201931.891 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201931.891 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201931.891 * [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 1540201931.891 * [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 1540201931.891 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.891 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201931.891 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201931.891 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.891 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.891 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.891 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.891 * [misc]taylor: Taking taylor expansion of k in n 1540201931.891 * [misc]backup-simplify: Simplify k into k 1540201931.891 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.891 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.891 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201931.891 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201931.891 * [misc]taylor: Taking taylor expansion of -1 in n 1540201931.891 * [misc]backup-simplify: Simplify -1 into -1 1540201931.891 * [misc]taylor: Taking taylor expansion of n in n 1540201931.891 * [misc]backup-simplify: Simplify 0 into 0 1540201931.891 * [misc]backup-simplify: Simplify 1 into 1 1540201931.891 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201931.892 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201931.892 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.892 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.892 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201931.893 * [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))) 1540201931.893 * [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)))) 1540201931.893 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201931.893 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201931.893 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201931.893 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201931.893 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201931.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.893 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.893 * [misc]taylor: Taking taylor expansion of k in n 1540201931.893 * [misc]backup-simplify: Simplify k into k 1540201931.893 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.893 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.893 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.893 * [misc]backup-simplify: Simplify PI into PI 1540201931.894 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.894 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201931.894 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201931.894 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201931.895 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201931.895 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1540201931.895 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201931.895 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201931.895 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540201931.895 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1540201931.896 * [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))) 1540201931.896 * [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)) 1540201931.897 * [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))) 1540201931.898 * [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))) 1540201931.899 * [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)))) 1540201931.901 * [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)))))) 1540201931.903 * [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)))))) 1540201931.905 * [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)))))) 1540201931.909 * [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))))))))) 1540201931.909 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1540201931.910 * [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))) 1540201931.910 * [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 1540201931.910 * [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 1540201931.910 * [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 1540201931.910 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540201931.910 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540201931.910 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540201931.910 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201931.910 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.910 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201931.910 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.910 * [misc]taylor: Taking taylor expansion of k in n 1540201931.911 * [misc]backup-simplify: Simplify k into k 1540201931.911 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201931.911 * [misc]taylor: Taking taylor expansion of n in n 1540201931.911 * [misc]backup-simplify: Simplify 0 into 0 1540201931.911 * [misc]backup-simplify: Simplify 1 into 1 1540201931.911 * [misc]backup-simplify: Simplify (log 1) into 0 1540201931.911 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201931.911 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201931.911 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201931.911 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201931.911 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540201931.911 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540201931.912 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1540201931.912 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1540201931.912 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1540201931.912 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1540201931.912 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201931.912 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.912 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201931.912 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.912 * [misc]taylor: Taking taylor expansion of k in n 1540201931.912 * [misc]backup-simplify: Simplify k into k 1540201931.912 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201931.912 * [misc]taylor: Taking taylor expansion of 2 in n 1540201931.912 * [misc]backup-simplify: Simplify 2 into 2 1540201931.912 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201931.912 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201931.912 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201931.912 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201931.913 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1540201931.913 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1540201931.913 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1540201931.913 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1540201931.913 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1540201931.913 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540201931.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.913 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540201931.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201931.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.913 * [misc]taylor: Taking taylor expansion of k in n 1540201931.913 * [misc]backup-simplify: Simplify k into k 1540201931.913 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201931.913 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.913 * [misc]backup-simplify: Simplify PI into PI 1540201931.914 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.914 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540201931.914 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540201931.914 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540201931.914 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1540201931.915 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1540201931.915 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540201931.915 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201931.915 * [misc]taylor: Taking taylor expansion of k in n 1540201931.915 * [misc]backup-simplify: Simplify k into k 1540201931.915 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201931.915 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540201931.915 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201931.915 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540201931.915 * [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 1540201931.915 * [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 1540201931.915 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540201931.915 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540201931.915 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540201931.915 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.915 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.915 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.916 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.916 * [misc]taylor: Taking taylor expansion of k in k 1540201931.916 * [misc]backup-simplify: Simplify 0 into 0 1540201931.916 * [misc]backup-simplify: Simplify 1 into 1 1540201931.916 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201931.916 * [misc]taylor: Taking taylor expansion of n in k 1540201931.916 * [misc]backup-simplify: Simplify n into n 1540201931.916 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201931.916 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.916 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.916 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.916 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540201931.916 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540201931.916 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540201931.916 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540201931.916 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540201931.917 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540201931.917 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.917 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.917 * [misc]taylor: Taking taylor expansion of k in k 1540201931.917 * [misc]backup-simplify: Simplify 0 into 0 1540201931.917 * [misc]backup-simplify: Simplify 1 into 1 1540201931.917 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201931.917 * [misc]taylor: Taking taylor expansion of 2 in k 1540201931.917 * [misc]backup-simplify: Simplify 2 into 2 1540201931.917 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201931.917 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.917 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.917 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.918 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201931.918 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540201931.918 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201931.918 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201931.918 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201931.918 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.918 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.919 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.919 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.919 * [misc]taylor: Taking taylor expansion of k in k 1540201931.919 * [misc]backup-simplify: Simplify 0 into 0 1540201931.919 * [misc]backup-simplify: Simplify 1 into 1 1540201931.919 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.919 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.919 * [misc]backup-simplify: Simplify PI into PI 1540201931.919 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.919 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.919 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.920 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.920 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.921 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201931.921 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201931.921 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.921 * [misc]taylor: Taking taylor expansion of k in k 1540201931.921 * [misc]backup-simplify: Simplify 0 into 0 1540201931.921 * [misc]backup-simplify: Simplify 1 into 1 1540201931.921 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.921 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.921 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201931.922 * [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 1540201931.922 * [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 1540201931.922 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540201931.922 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540201931.922 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540201931.922 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.922 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.922 * [misc]taylor: Taking taylor expansion of k in k 1540201931.922 * [misc]backup-simplify: Simplify 0 into 0 1540201931.922 * [misc]backup-simplify: Simplify 1 into 1 1540201931.922 * [misc]taylor: Taking taylor expansion of (log n) in k 1540201931.922 * [misc]taylor: Taking taylor expansion of n in k 1540201931.922 * [misc]backup-simplify: Simplify n into n 1540201931.922 * [misc]backup-simplify: Simplify (log n) into (log n) 1540201931.922 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.922 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.922 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.923 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540201931.923 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540201931.923 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540201931.923 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540201931.923 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540201931.923 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540201931.923 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.923 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.923 * [misc]taylor: Taking taylor expansion of k in k 1540201931.923 * [misc]backup-simplify: Simplify 0 into 0 1540201931.923 * [misc]backup-simplify: Simplify 1 into 1 1540201931.923 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201931.923 * [misc]taylor: Taking taylor expansion of 2 in k 1540201931.923 * [misc]backup-simplify: Simplify 2 into 2 1540201931.923 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201931.923 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.924 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.924 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.924 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201931.924 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540201931.925 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540201931.925 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540201931.925 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540201931.925 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540201931.925 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.925 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540201931.925 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201931.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201931.925 * [misc]taylor: Taking taylor expansion of k in k 1540201931.925 * [misc]backup-simplify: Simplify 0 into 0 1540201931.925 * [misc]backup-simplify: Simplify 1 into 1 1540201931.925 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201931.925 * [misc]taylor: Taking taylor expansion of PI in k 1540201931.925 * [misc]backup-simplify: Simplify PI into PI 1540201931.925 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201931.925 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540201931.925 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.926 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201931.926 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201931.927 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540201931.927 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540201931.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201931.927 * [misc]taylor: Taking taylor expansion of k in k 1540201931.927 * [misc]backup-simplify: Simplify 0 into 0 1540201931.927 * [misc]backup-simplify: Simplify 1 into 1 1540201931.927 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201931.927 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.928 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201931.929 * [misc]backup-simplify: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 1540201931.929 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 1540201931.930 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 1540201931.930 * [misc]taylor: Taking taylor expansion of 0 in n 1540201931.930 * [misc]backup-simplify: Simplify 0 into 0 1540201931.930 * [misc]backup-simplify: Simplify 0 into 0 1540201931.932 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201931.932 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201931.932 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.932 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540201931.936 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540201931.938 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201931.939 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201931.939 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.939 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.940 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1540201931.942 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1540201931.945 * [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))))) 1540201931.946 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540201931.946 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540201931.946 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201931.947 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201931.947 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1540201931.947 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1540201931.952 * [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))))))) 1540201931.954 * [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))))) 1540201931.954 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540201931.954 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540201931.954 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201931.954 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201931.954 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540201931.954 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201931.954 * [misc]taylor: Taking taylor expansion of 2 in n 1540201931.954 * [misc]backup-simplify: Simplify 2 into 2 1540201931.955 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201931.955 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201931.955 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201931.955 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201931.955 * [misc]taylor: Taking taylor expansion of n in n 1540201931.955 * [misc]backup-simplify: Simplify 0 into 0 1540201931.955 * [misc]backup-simplify: Simplify 1 into 1 1540201931.955 * [misc]taylor: Taking taylor expansion of PI in n 1540201931.955 * [misc]backup-simplify: Simplify PI into PI 1540201931.955 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201931.956 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201931.956 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201931.956 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201931.956 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540201931.956 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201931.956 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.956 * [misc]backup-simplify: Simplify 0 into 0 1540201931.956 * [misc]backup-simplify: Simplify 0 into 0 1540201931.957 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201931.957 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201931.960 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540201931.960 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201931.960 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.960 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.961 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540201931.963 * [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))) 1540201931.966 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540201931.966 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201931.966 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.966 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.966 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1540201931.968 * [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))) 1540201931.974 * [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))))) 1540201931.975 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540201931.976 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540201931.976 * [misc]backup-simplify: Simplify (- 0) into 0 1540201931.976 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201931.976 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1540201931.977 * [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))) 1540201931.991 * [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))))))))) 1540201932.000 * [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))))))))))) 1540201932.000 * [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 1540201932.000 * [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 1540201932.000 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1540201932.000 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.000 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.000 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1540201932.000 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1540201932.000 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.000 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.000 * [misc]backup-simplify: Simplify 2 into 2 1540201932.000 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.000 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.000 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.000 * [misc]backup-simplify: Simplify 2 into 2 1540201932.001 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.001 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.001 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201932.001 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201932.001 * [misc]taylor: Taking taylor expansion of n in n 1540201932.001 * [misc]backup-simplify: Simplify 0 into 0 1540201932.001 * [misc]backup-simplify: Simplify 1 into 1 1540201932.001 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.001 * [misc]backup-simplify: Simplify PI into PI 1540201932.001 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201932.001 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201932.002 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.002 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.002 * [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 1540201932.002 * [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 1540201932.002 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540201932.002 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.002 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.002 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540201932.002 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540201932.002 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.002 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.002 * [misc]backup-simplify: Simplify 2 into 2 1540201932.002 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.002 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.002 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.002 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.002 * [misc]backup-simplify: Simplify PI into PI 1540201932.002 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.002 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201932.002 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201932.003 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.003 * [misc]backup-simplify: Simplify PI into PI 1540201932.003 * [misc]taylor: Taking taylor expansion of n in n 1540201932.003 * [misc]backup-simplify: Simplify 0 into 0 1540201932.003 * [misc]backup-simplify: Simplify 1 into 1 1540201932.003 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201932.003 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201932.003 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.004 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.004 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1540201932.004 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1540201932.004 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540201932.004 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.004 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.004 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540201932.004 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.004 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.004 * [misc]backup-simplify: Simplify 2 into 2 1540201932.004 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.004 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.004 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201932.004 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201932.004 * [misc]taylor: Taking taylor expansion of n in n 1540201932.004 * [misc]backup-simplify: Simplify 0 into 0 1540201932.004 * [misc]backup-simplify: Simplify 1 into 1 1540201932.004 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.004 * [misc]backup-simplify: Simplify PI into PI 1540201932.004 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201932.005 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201932.005 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.005 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.005 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1540201932.005 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1540201932.005 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.005 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.005 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1540201932.005 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1540201932.005 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.005 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.005 * [misc]backup-simplify: Simplify 2 into 2 1540201932.005 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.005 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.005 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201932.005 * [misc]taylor: Taking taylor expansion of n in n 1540201932.005 * [misc]backup-simplify: Simplify 0 into 0 1540201932.005 * [misc]backup-simplify: Simplify 1 into 1 1540201932.006 * [misc]backup-simplify: Simplify (log 1) into 0 1540201932.006 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201932.006 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201932.006 * [misc]taylor: Taking taylor expansion of n in n 1540201932.006 * [misc]backup-simplify: Simplify 0 into 0 1540201932.006 * [misc]backup-simplify: Simplify 1 into 1 1540201932.006 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.006 * [misc]backup-simplify: Simplify PI into PI 1540201932.006 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201932.006 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201932.006 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.007 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.007 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1540201932.007 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1540201932.007 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.008 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540201932.008 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540201932.008 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.008 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540201932.008 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.009 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201932.009 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1540201932.009 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1540201932.009 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.009 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.009 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.009 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.009 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.009 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.010 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.010 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.010 * [misc]backup-simplify: Simplify 0 into 0 1540201932.011 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201932.012 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201932.012 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201932.013 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201932.013 * [misc]backup-simplify: Simplify 0 into 0 1540201932.013 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201932.014 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201932.018 * [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 1540201932.018 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201932.018 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.018 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.019 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540201932.023 * [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))) 1540201932.027 * [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 1540201932.027 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201932.028 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.028 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.028 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1540201932.031 * [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))) 1540201932.038 * [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))))))) 1540201932.040 * [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 1540201932.040 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540201932.040 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.041 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.041 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1540201932.042 * [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))) 1540201932.067 * [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)))))))))))))) 1540201932.089 * [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))))))))))))))))))))))) 1540201932.089 * [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 1540201932.089 * [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 1540201932.089 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1540201932.089 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.089 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.089 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1540201932.089 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1540201932.089 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.089 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.089 * [misc]backup-simplify: Simplify 2 into 2 1540201932.090 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.090 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.090 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1540201932.090 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201932.090 * [misc]taylor: Taking taylor expansion of n in n 1540201932.090 * [misc]backup-simplify: Simplify 0 into 0 1540201932.090 * [misc]backup-simplify: Simplify 1 into 1 1540201932.090 * [misc]backup-simplify: Simplify (log 1) into 0 1540201932.090 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201932.090 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201932.090 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201932.090 * [misc]taylor: Taking taylor expansion of n in n 1540201932.090 * [misc]backup-simplify: Simplify 0 into 0 1540201932.090 * [misc]backup-simplify: Simplify 1 into 1 1540201932.090 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.090 * [misc]backup-simplify: Simplify PI into PI 1540201932.091 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201932.091 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201932.091 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.091 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.091 * [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 1540201932.091 * [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 1540201932.091 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1540201932.091 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.091 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.092 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1540201932.092 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1540201932.092 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.092 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.092 * [misc]backup-simplify: Simplify 2 into 2 1540201932.092 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.092 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.092 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1540201932.092 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.092 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.092 * [misc]backup-simplify: Simplify PI into PI 1540201932.092 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.092 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201932.092 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201932.092 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.092 * [misc]backup-simplify: Simplify PI into PI 1540201932.092 * [misc]taylor: Taking taylor expansion of n in n 1540201932.092 * [misc]backup-simplify: Simplify 0 into 0 1540201932.092 * [misc]backup-simplify: Simplify 1 into 1 1540201932.092 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201932.093 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201932.093 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.093 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.093 * [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 1540201932.093 * [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 1540201932.093 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1540201932.093 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.093 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.093 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1540201932.093 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1540201932.093 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1540201932.093 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.093 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.093 * [misc]backup-simplify: Simplify 2 into 2 1540201932.093 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.093 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.093 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.093 * [misc]backup-simplify: Simplify 2 into 2 1540201932.094 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.094 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.094 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201932.094 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201932.094 * [misc]taylor: Taking taylor expansion of n in n 1540201932.094 * [misc]backup-simplify: Simplify 0 into 0 1540201932.094 * [misc]backup-simplify: Simplify 1 into 1 1540201932.094 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.094 * [misc]backup-simplify: Simplify PI into PI 1540201932.094 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201932.094 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201932.094 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.095 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.095 * [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 1540201932.095 * [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 1540201932.095 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540201932.095 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.095 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.095 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540201932.095 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.095 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.095 * [misc]backup-simplify: Simplify 2 into 2 1540201932.095 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.095 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.095 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201932.095 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201932.095 * [misc]taylor: Taking taylor expansion of n in n 1540201932.095 * [misc]backup-simplify: Simplify 0 into 0 1540201932.095 * [misc]backup-simplify: Simplify 1 into 1 1540201932.095 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.095 * [misc]backup-simplify: Simplify PI into PI 1540201932.096 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201932.096 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201932.097 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.097 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.097 * [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 1540201932.097 * [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 1540201932.097 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1540201932.097 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.097 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.097 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1540201932.097 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1540201932.097 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.097 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.097 * [misc]backup-simplify: Simplify 2 into 2 1540201932.097 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.098 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.098 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201932.098 * [misc]taylor: Taking taylor expansion of n in n 1540201932.098 * [misc]backup-simplify: Simplify 0 into 0 1540201932.098 * [misc]backup-simplify: Simplify 1 into 1 1540201932.098 * [misc]backup-simplify: Simplify (log 1) into 0 1540201932.098 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201932.098 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201932.098 * [misc]taylor: Taking taylor expansion of n in n 1540201932.098 * [misc]backup-simplify: Simplify 0 into 0 1540201932.098 * [misc]backup-simplify: Simplify 1 into 1 1540201932.098 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.098 * [misc]backup-simplify: Simplify PI into PI 1540201932.098 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201932.098 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201932.099 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.099 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.099 * [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 1540201932.099 * [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 1540201932.099 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540201932.099 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.099 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.099 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540201932.099 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540201932.099 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.099 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.099 * [misc]backup-simplify: Simplify 2 into 2 1540201932.099 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.099 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.099 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.099 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.099 * [misc]backup-simplify: Simplify PI into PI 1540201932.099 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.100 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201932.100 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201932.100 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.100 * [misc]backup-simplify: Simplify PI into PI 1540201932.100 * [misc]taylor: Taking taylor expansion of n in n 1540201932.100 * [misc]backup-simplify: Simplify 0 into 0 1540201932.100 * [misc]backup-simplify: Simplify 1 into 1 1540201932.100 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201932.100 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201932.100 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.101 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.101 * [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 1540201932.101 * [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 1540201932.101 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1540201932.101 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.101 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.101 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1540201932.101 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1540201932.101 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.101 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.101 * [misc]backup-simplify: Simplify 2 into 2 1540201932.101 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.101 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.101 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1540201932.101 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.101 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.101 * [misc]backup-simplify: Simplify PI into PI 1540201932.101 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.101 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201932.101 * [misc]taylor: Taking taylor expansion of n in n 1540201932.101 * [misc]backup-simplify: Simplify 0 into 0 1540201932.101 * [misc]backup-simplify: Simplify 1 into 1 1540201932.101 * [misc]backup-simplify: Simplify (log 1) into 0 1540201932.101 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201932.101 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201932.101 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.101 * [misc]backup-simplify: Simplify PI into PI 1540201932.101 * [misc]taylor: Taking taylor expansion of n in n 1540201932.101 * [misc]backup-simplify: Simplify 0 into 0 1540201932.101 * [misc]backup-simplify: Simplify 1 into 1 1540201932.102 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201932.102 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201932.102 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.102 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.102 * [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 1540201932.102 * [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 1540201932.102 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1540201932.102 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.103 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.103 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1540201932.103 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1540201932.103 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.103 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.103 * [misc]backup-simplify: Simplify 2 into 2 1540201932.103 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.103 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1540201932.103 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.103 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.103 * [misc]backup-simplify: Simplify 2 into 2 1540201932.103 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.103 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.103 * [misc]taylor: Taking taylor expansion of (log n) in n 1540201932.103 * [misc]taylor: Taking taylor expansion of n in n 1540201932.103 * [misc]backup-simplify: Simplify 0 into 0 1540201932.103 * [misc]backup-simplify: Simplify 1 into 1 1540201932.103 * [misc]backup-simplify: Simplify (log 1) into 0 1540201932.103 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201932.103 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201932.103 * [misc]taylor: Taking taylor expansion of n in n 1540201932.103 * [misc]backup-simplify: Simplify 0 into 0 1540201932.103 * [misc]backup-simplify: Simplify 1 into 1 1540201932.103 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.103 * [misc]backup-simplify: Simplify PI into PI 1540201932.103 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201932.104 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201932.104 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.104 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.104 * [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 1540201932.104 * [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 1540201932.104 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1540201932.104 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.104 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.104 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1540201932.104 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1540201932.104 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.104 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.104 * [misc]backup-simplify: Simplify 2 into 2 1540201932.105 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.105 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540201932.105 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.105 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.105 * [misc]backup-simplify: Simplify 2 into 2 1540201932.105 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.105 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.105 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.105 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.105 * [misc]backup-simplify: Simplify PI into PI 1540201932.105 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.105 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540201932.105 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540201932.105 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.105 * [misc]backup-simplify: Simplify PI into PI 1540201932.105 * [misc]taylor: Taking taylor expansion of n in n 1540201932.105 * [misc]backup-simplify: Simplify 0 into 0 1540201932.105 * [misc]backup-simplify: Simplify 1 into 1 1540201932.105 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540201932.106 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540201932.106 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.106 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.106 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))) in n 1540201932.106 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1540201932.106 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.106 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.106 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1540201932.106 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1540201932.106 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.106 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.106 * [misc]backup-simplify: Simplify 2 into 2 1540201932.106 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.106 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540201932.106 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.106 * [misc]backup-simplify: Simplify 2 into 2 1540201932.107 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540201932.107 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540201932.107 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540201932.107 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540201932.107 * [misc]taylor: Taking taylor expansion of n in n 1540201932.107 * [misc]backup-simplify: Simplify 0 into 0 1540201932.107 * [misc]backup-simplify: Simplify 1 into 1 1540201932.107 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.107 * [misc]backup-simplify: Simplify PI into PI 1540201932.107 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540201932.107 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540201932.107 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.108 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540201932.108 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201932.108 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201932.108 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1540201932.108 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1540201932.108 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1540201932.109 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.109 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1540201932.110 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1540201932.110 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1540201932.110 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.111 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1540201932.111 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1540201932.112 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1540201932.112 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.112 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540201932.112 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.112 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201932.112 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1540201932.113 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1540201932.113 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.113 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540201932.114 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540201932.114 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.114 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201932.114 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1540201932.114 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1540201932.115 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1540201932.115 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.115 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201932.115 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1540201932.115 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1540201932.115 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1540201932.115 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.116 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540201932.117 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1540201932.117 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1540201932.117 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.118 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1540201932.118 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1540201932.118 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540201932.118 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.118 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.118 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.119 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.119 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.119 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.119 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.119 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.119 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.119 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.119 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.119 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.120 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.120 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.120 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.120 * [misc]backup-simplify: Simplify 0 into 0 1540201932.122 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201932.123 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1540201932.124 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1540201932.127 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1540201932.129 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201932.130 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1540201932.131 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540201932.134 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540201932.135 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201932.137 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540201932.139 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201932.139 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540201932.140 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1540201932.140 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1540201932.141 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1540201932.141 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1540201932.142 * [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))))) 1540201932.144 * [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))))) 1540201932.147 * [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))))))) 1540201932.150 * [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))))))) 1540201932.156 * [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))))))))) 1540201932.163 * [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))))))))) 1540201932.169 * [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))))))))) 1540201932.171 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540201932.172 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540201932.174 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540201932.176 * [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)))) 1540201932.180 * [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)))) 1540201932.181 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540201932.181 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540201932.187 * [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))))))))))))))) 1540201932.188 * [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)) 1540201932.188 * [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 1540201932.188 * [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 1540201932.188 * [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 1540201932.188 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.188 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1540201932.188 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1540201932.188 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.188 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.188 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.188 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.188 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.188 * [misc]taylor: Taking taylor expansion of k in n 1540201932.188 * [misc]backup-simplify: Simplify k into k 1540201932.188 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.188 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.188 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.188 * [misc]backup-simplify: Simplify 2 into 2 1540201932.188 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.188 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.188 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.188 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.188 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.189 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201932.189 * [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 1540201932.189 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.189 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201932.189 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201932.189 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.189 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.189 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.189 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.189 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.189 * [misc]taylor: Taking taylor expansion of k in n 1540201932.189 * [misc]backup-simplify: Simplify k into k 1540201932.189 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.189 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.189 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.189 * [misc]backup-simplify: Simplify PI into PI 1540201932.189 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.189 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.189 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.189 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.190 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201932.190 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.190 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.190 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201932.190 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201932.190 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.190 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.190 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.190 * [misc]taylor: Taking taylor expansion of k in n 1540201932.190 * [misc]backup-simplify: Simplify k into k 1540201932.190 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.190 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201932.190 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201932.190 * [misc]taylor: Taking taylor expansion of n in n 1540201932.190 * [misc]backup-simplify: Simplify 0 into 0 1540201932.190 * [misc]backup-simplify: Simplify 1 into 1 1540201932.190 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.190 * [misc]backup-simplify: Simplify (log 1) into 0 1540201932.190 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.190 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.190 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.191 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201932.191 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201932.191 * [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)))) 1540201932.191 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540201932.191 * [misc]taylor: Taking taylor expansion of k in n 1540201932.191 * [misc]backup-simplify: Simplify k into k 1540201932.191 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540201932.191 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540201932.191 * [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 1540201932.191 * [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 1540201932.191 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201932.191 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540201932.191 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540201932.191 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201932.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.191 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.191 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.191 * [misc]taylor: Taking taylor expansion of k in k 1540201932.191 * [misc]backup-simplify: Simplify 0 into 0 1540201932.191 * [misc]backup-simplify: Simplify 1 into 1 1540201932.191 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.191 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201932.191 * [misc]taylor: Taking taylor expansion of 2 in k 1540201932.191 * [misc]backup-simplify: Simplify 2 into 2 1540201932.191 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.192 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.192 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201932.192 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201932.192 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540201932.192 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201932.192 * [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 1540201932.192 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201932.192 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201932.192 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201932.192 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201932.192 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.192 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.192 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.192 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.192 * [misc]taylor: Taking taylor expansion of k in k 1540201932.192 * [misc]backup-simplify: Simplify 0 into 0 1540201932.192 * [misc]backup-simplify: Simplify 1 into 1 1540201932.193 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.193 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201932.193 * [misc]taylor: Taking taylor expansion of PI in k 1540201932.193 * [misc]backup-simplify: Simplify PI into PI 1540201932.193 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.193 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.193 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201932.193 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201932.193 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201932.194 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.194 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201932.194 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540201932.194 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540201932.194 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201932.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.194 * [misc]taylor: Taking taylor expansion of k in k 1540201932.194 * [misc]backup-simplify: Simplify 0 into 0 1540201932.194 * [misc]backup-simplify: Simplify 1 into 1 1540201932.194 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.194 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540201932.194 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540201932.194 * [misc]taylor: Taking taylor expansion of n in k 1540201932.194 * [misc]backup-simplify: Simplify n into n 1540201932.194 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540201932.194 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540201932.194 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.194 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201932.194 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201932.194 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540201932.194 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.194 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201932.195 * [misc]taylor: Taking taylor expansion of k in k 1540201932.195 * [misc]backup-simplify: Simplify 0 into 0 1540201932.195 * [misc]backup-simplify: Simplify 1 into 1 1540201932.195 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.195 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201932.195 * [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 1540201932.195 * [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 1540201932.195 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201932.195 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540201932.195 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540201932.195 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201932.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.195 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.195 * [misc]taylor: Taking taylor expansion of k in k 1540201932.195 * [misc]backup-simplify: Simplify 0 into 0 1540201932.195 * [misc]backup-simplify: Simplify 1 into 1 1540201932.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.195 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201932.195 * [misc]taylor: Taking taylor expansion of 2 in k 1540201932.195 * [misc]backup-simplify: Simplify 2 into 2 1540201932.195 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.196 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.196 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201932.196 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201932.196 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540201932.196 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201932.196 * [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 1540201932.196 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201932.196 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540201932.196 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540201932.196 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201932.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.196 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.196 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.196 * [misc]taylor: Taking taylor expansion of k in k 1540201932.196 * [misc]backup-simplify: Simplify 0 into 0 1540201932.196 * [misc]backup-simplify: Simplify 1 into 1 1540201932.196 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.197 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201932.197 * [misc]taylor: Taking taylor expansion of PI in k 1540201932.197 * [misc]backup-simplify: Simplify PI into PI 1540201932.197 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.197 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.197 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201932.197 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201932.197 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540201932.198 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.198 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540201932.198 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540201932.198 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540201932.198 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540201932.198 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.198 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.198 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.198 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.198 * [misc]taylor: Taking taylor expansion of k in k 1540201932.198 * [misc]backup-simplify: Simplify 0 into 0 1540201932.198 * [misc]backup-simplify: Simplify 1 into 1 1540201932.198 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.198 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540201932.198 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540201932.198 * [misc]taylor: Taking taylor expansion of n in k 1540201932.198 * [misc]backup-simplify: Simplify n into n 1540201932.198 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540201932.198 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540201932.198 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.198 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540201932.198 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540201932.198 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540201932.198 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.198 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540201932.199 * [misc]taylor: Taking taylor expansion of k in k 1540201932.199 * [misc]backup-simplify: Simplify 0 into 0 1540201932.199 * [misc]backup-simplify: Simplify 1 into 1 1540201932.199 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.199 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540201932.199 * [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))))) 1540201932.199 * [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)))))) 1540201932.200 * [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 1540201932.200 * [misc]taylor: Taking taylor expansion of 0 in n 1540201932.200 * [misc]backup-simplify: Simplify 0 into 0 1540201932.200 * [misc]backup-simplify: Simplify 0 into 0 1540201932.200 * [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 1540201932.200 * [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 1540201932.201 * [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)))))))) 1540201932.201 * [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 1540201932.201 * [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 1540201932.201 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.201 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.201 * [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 1540201932.201 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201932.201 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.201 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.201 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.201 * [misc]backup-simplify: Simplify 2 into 2 1540201932.201 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.201 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.201 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.201 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.201 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.201 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.201 * [misc]taylor: Taking taylor expansion of k in n 1540201932.201 * [misc]backup-simplify: Simplify k into k 1540201932.201 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.201 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.201 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.201 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.202 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.202 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201932.202 * [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 1540201932.202 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.202 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201932.202 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201932.202 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.202 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.202 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.202 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.202 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.202 * [misc]taylor: Taking taylor expansion of k in n 1540201932.202 * [misc]backup-simplify: Simplify k into k 1540201932.202 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.202 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.202 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.202 * [misc]backup-simplify: Simplify PI into PI 1540201932.202 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.202 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.202 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.202 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.203 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201932.203 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.203 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.203 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201932.203 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201932.203 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.203 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.203 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.203 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.203 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.203 * [misc]taylor: Taking taylor expansion of k in n 1540201932.203 * [misc]backup-simplify: Simplify k into k 1540201932.203 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.203 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201932.203 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201932.203 * [misc]taylor: Taking taylor expansion of n in n 1540201932.203 * [misc]backup-simplify: Simplify 0 into 0 1540201932.203 * [misc]backup-simplify: Simplify 1 into 1 1540201932.203 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.203 * [misc]backup-simplify: Simplify (log 1) into 0 1540201932.204 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.204 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.204 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.204 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201932.204 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201932.204 * [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)))) 1540201932.204 * [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))))) 1540201932.204 * [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)))))) 1540201932.205 * [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))))))) 1540201932.205 * [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)))))))) 1540201932.206 * [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)))))))) 1540201932.206 * [misc]backup-simplify: Simplify 0 into 0 1540201932.206 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201932.207 * [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 1540201932.207 * [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 1540201932.208 * [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)))))))) 1540201932.208 * [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 1540201932.208 * [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 1540201932.208 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.208 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.208 * [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 1540201932.208 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201932.208 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.208 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.208 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.208 * [misc]backup-simplify: Simplify 2 into 2 1540201932.208 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.208 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.208 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.209 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.209 * [misc]taylor: Taking taylor expansion of k in n 1540201932.209 * [misc]backup-simplify: Simplify k into k 1540201932.209 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.209 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.209 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.209 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.209 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.209 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201932.209 * [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 1540201932.210 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.210 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201932.210 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201932.210 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.210 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.210 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.210 * [misc]taylor: Taking taylor expansion of k in n 1540201932.210 * [misc]backup-simplify: Simplify k into k 1540201932.210 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.210 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.210 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.210 * [misc]backup-simplify: Simplify PI into PI 1540201932.210 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.210 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.210 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.210 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.211 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201932.211 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.211 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.211 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201932.211 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201932.211 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.211 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.211 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.211 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.211 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.211 * [misc]taylor: Taking taylor expansion of k in n 1540201932.212 * [misc]backup-simplify: Simplify k into k 1540201932.212 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.212 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201932.212 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201932.212 * [misc]taylor: Taking taylor expansion of n in n 1540201932.212 * [misc]backup-simplify: Simplify 0 into 0 1540201932.212 * [misc]backup-simplify: Simplify 1 into 1 1540201932.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.212 * [misc]backup-simplify: Simplify (log 1) into 0 1540201932.212 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.212 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.212 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.213 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201932.213 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201932.213 * [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)))) 1540201932.213 * [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))))) 1540201932.214 * [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)))))) 1540201932.214 * [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))))))) 1540201932.215 * [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)))))))) 1540201932.216 * [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)))))))) 1540201932.216 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540201932.218 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540201932.218 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201932.219 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201932.219 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.219 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201932.219 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1540201932.220 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201932.225 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201932.225 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201932.225 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201932.225 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.226 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540201932.227 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201932.228 * [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 1540201932.228 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201932.228 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201932.228 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.228 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.231 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201932.231 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1540201932.232 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201932.233 * [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 1540201932.233 * [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 1540201932.234 * [misc]backup-simplify: Simplify (- 0) into 0 1540201932.234 * [misc]backup-simplify: Simplify 0 into 0 1540201932.234 * [misc]backup-simplify: Simplify 0 into 0 1540201932.235 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201932.235 * [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 1540201932.236 * [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 1540201932.237 * [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)))))))) 1540201932.237 * [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 1540201932.237 * [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 1540201932.237 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.237 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.237 * [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 1540201932.237 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540201932.237 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.237 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.237 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.237 * [misc]backup-simplify: Simplify 2 into 2 1540201932.238 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.238 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.238 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.238 * [misc]taylor: Taking taylor expansion of k in n 1540201932.238 * [misc]backup-simplify: Simplify k into k 1540201932.238 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.238 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.238 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.238 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.238 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.239 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540201932.239 * [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 1540201932.239 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.239 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540201932.239 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540201932.239 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.239 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.239 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.239 * [misc]taylor: Taking taylor expansion of k in n 1540201932.239 * [misc]backup-simplify: Simplify k into k 1540201932.239 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.239 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.239 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.239 * [misc]backup-simplify: Simplify PI into PI 1540201932.240 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.240 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.240 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.240 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.241 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540201932.241 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540201932.241 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540201932.241 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540201932.241 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540201932.241 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540201932.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.241 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.241 * [misc]taylor: Taking taylor expansion of k in n 1540201932.241 * [misc]backup-simplify: Simplify k into k 1540201932.241 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.241 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540201932.242 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540201932.242 * [misc]taylor: Taking taylor expansion of n in n 1540201932.242 * [misc]backup-simplify: Simplify 0 into 0 1540201932.242 * [misc]backup-simplify: Simplify 1 into 1 1540201932.242 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.242 * [misc]backup-simplify: Simplify (log 1) into 0 1540201932.242 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.242 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540201932.242 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540201932.242 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540201932.243 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540201932.243 * [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)))) 1540201932.243 * [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))))) 1540201932.244 * [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)))))) 1540201932.244 * [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))))))) 1540201932.245 * [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)))))))) 1540201932.245 * [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)))))))) 1540201932.248 * [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)))))))) 1540201932.249 * [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))) 1540201932.249 * [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 1540201932.249 * [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 1540201932.249 * [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 1540201932.249 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.249 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201932.249 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201932.249 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.250 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.250 * [misc]taylor: Taking taylor expansion of k in n 1540201932.250 * [misc]backup-simplify: Simplify k into k 1540201932.250 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.250 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201932.250 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201932.250 * [misc]taylor: Taking taylor expansion of -1 in n 1540201932.250 * [misc]backup-simplify: Simplify -1 into -1 1540201932.250 * [misc]taylor: Taking taylor expansion of n in n 1540201932.250 * [misc]backup-simplify: Simplify 0 into 0 1540201932.250 * [misc]backup-simplify: Simplify 1 into 1 1540201932.250 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201932.250 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201932.250 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.250 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.251 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201932.251 * [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))) 1540201932.251 * [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)))) 1540201932.251 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201932.251 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.252 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1540201932.252 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1540201932.252 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.252 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.252 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.252 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.252 * [misc]taylor: Taking taylor expansion of k in n 1540201932.252 * [misc]backup-simplify: Simplify k into k 1540201932.252 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.252 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.252 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.252 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.252 * [misc]backup-simplify: Simplify 2 into 2 1540201932.252 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.252 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.252 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.253 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.253 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201932.253 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.253 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201932.253 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201932.253 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.253 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.253 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.253 * [misc]taylor: Taking taylor expansion of k in n 1540201932.253 * [misc]backup-simplify: Simplify k into k 1540201932.253 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.253 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.253 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.253 * [misc]backup-simplify: Simplify PI into PI 1540201932.254 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.254 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.254 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.254 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201932.255 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.255 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540201932.255 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540201932.255 * [misc]taylor: Taking taylor expansion of -1 in n 1540201932.255 * [misc]backup-simplify: Simplify -1 into -1 1540201932.255 * [misc]taylor: Taking taylor expansion of k in n 1540201932.255 * [misc]backup-simplify: Simplify k into k 1540201932.255 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540201932.255 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540201932.255 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540201932.255 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540201932.255 * [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))) 1540201932.256 * [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)))) 1540201932.257 * [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))) 1540201932.257 * [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 1540201932.257 * [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 1540201932.257 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201932.257 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540201932.257 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540201932.257 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201932.257 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.257 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.257 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.257 * [misc]taylor: Taking taylor expansion of k in k 1540201932.257 * [misc]backup-simplify: Simplify 0 into 0 1540201932.257 * [misc]backup-simplify: Simplify 1 into 1 1540201932.258 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.258 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540201932.258 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540201932.258 * [misc]taylor: Taking taylor expansion of -1 in k 1540201932.258 * [misc]backup-simplify: Simplify -1 into -1 1540201932.258 * [misc]taylor: Taking taylor expansion of n in k 1540201932.258 * [misc]backup-simplify: Simplify n into n 1540201932.258 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540201932.258 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540201932.258 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.258 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201932.258 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540201932.258 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.258 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540201932.259 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201932.259 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540201932.259 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540201932.259 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201932.259 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.259 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.259 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.259 * [misc]taylor: Taking taylor expansion of k in k 1540201932.259 * [misc]backup-simplify: Simplify 0 into 0 1540201932.259 * [misc]backup-simplify: Simplify 1 into 1 1540201932.259 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.259 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.259 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201932.259 * [misc]taylor: Taking taylor expansion of 2 in k 1540201932.259 * [misc]backup-simplify: Simplify 2 into 2 1540201932.259 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.259 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.260 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201932.260 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201932.260 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201932.260 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201932.260 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201932.260 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201932.260 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201932.260 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.260 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.260 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.260 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.260 * [misc]taylor: Taking taylor expansion of k in k 1540201932.261 * [misc]backup-simplify: Simplify 0 into 0 1540201932.261 * [misc]backup-simplify: Simplify 1 into 1 1540201932.261 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.261 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.261 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201932.261 * [misc]taylor: Taking taylor expansion of PI in k 1540201932.261 * [misc]backup-simplify: Simplify PI into PI 1540201932.261 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.261 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.261 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201932.262 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201932.262 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.262 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201932.262 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201932.262 * [misc]taylor: Taking taylor expansion of -1 in k 1540201932.262 * [misc]backup-simplify: Simplify -1 into -1 1540201932.262 * [misc]taylor: Taking taylor expansion of k in k 1540201932.262 * [misc]backup-simplify: Simplify 0 into 0 1540201932.262 * [misc]backup-simplify: Simplify 1 into 1 1540201932.263 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201932.263 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.263 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201932.263 * [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))) 1540201932.264 * [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)))) 1540201932.265 * [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))))) 1540201932.265 * [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 1540201932.265 * [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 1540201932.265 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201932.265 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540201932.265 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540201932.265 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201932.265 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.265 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.265 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.265 * [misc]taylor: Taking taylor expansion of k in k 1540201932.265 * [misc]backup-simplify: Simplify 0 into 0 1540201932.265 * [misc]backup-simplify: Simplify 1 into 1 1540201932.265 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.265 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.265 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540201932.265 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540201932.265 * [misc]taylor: Taking taylor expansion of -1 in k 1540201932.265 * [misc]backup-simplify: Simplify -1 into -1 1540201932.265 * [misc]taylor: Taking taylor expansion of n in k 1540201932.265 * [misc]backup-simplify: Simplify n into n 1540201932.265 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540201932.266 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540201932.266 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.266 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201932.266 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540201932.266 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.266 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540201932.266 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201932.266 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540201932.266 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540201932.266 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201932.266 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.266 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.266 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.266 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.266 * [misc]taylor: Taking taylor expansion of k in k 1540201932.266 * [misc]backup-simplify: Simplify 0 into 0 1540201932.266 * [misc]backup-simplify: Simplify 1 into 1 1540201932.267 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.267 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.267 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540201932.267 * [misc]taylor: Taking taylor expansion of 2 in k 1540201932.267 * [misc]backup-simplify: Simplify 2 into 2 1540201932.267 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.267 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.267 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201932.268 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540201932.268 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201932.268 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540201932.268 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540201932.268 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540201932.268 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540201932.268 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540201932.268 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540201932.268 * [misc]taylor: Taking taylor expansion of k in k 1540201932.268 * [misc]backup-simplify: Simplify 0 into 0 1540201932.268 * [misc]backup-simplify: Simplify 1 into 1 1540201932.268 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540201932.268 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540201932.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.268 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540201932.268 * [misc]taylor: Taking taylor expansion of PI in k 1540201932.268 * [misc]backup-simplify: Simplify PI into PI 1540201932.269 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.269 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540201932.269 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540201932.269 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540201932.270 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.270 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540201932.270 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540201932.270 * [misc]taylor: Taking taylor expansion of -1 in k 1540201932.270 * [misc]backup-simplify: Simplify -1 into -1 1540201932.270 * [misc]taylor: Taking taylor expansion of k in k 1540201932.270 * [misc]backup-simplify: Simplify 0 into 0 1540201932.270 * [misc]backup-simplify: Simplify 1 into 1 1540201932.270 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201932.270 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540201932.271 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540201932.271 * [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))) 1540201932.272 * [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)))) 1540201932.272 * [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))))) 1540201932.272 * [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 1540201932.272 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.272 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.272 * [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 1540201932.272 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201932.272 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.272 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.272 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.273 * [misc]backup-simplify: Simplify 2 into 2 1540201932.273 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.273 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.273 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.273 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.273 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.273 * [misc]taylor: Taking taylor expansion of k in n 1540201932.273 * [misc]backup-simplify: Simplify k into k 1540201932.273 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.273 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.273 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.273 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.273 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.274 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201932.274 * [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 1540201932.274 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.274 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201932.274 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201932.274 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.274 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.274 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.274 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.274 * [misc]taylor: Taking taylor expansion of k in n 1540201932.274 * [misc]backup-simplify: Simplify k into k 1540201932.274 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.274 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.274 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201932.274 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201932.274 * [misc]taylor: Taking taylor expansion of -1 in n 1540201932.274 * [misc]backup-simplify: Simplify -1 into -1 1540201932.274 * [misc]taylor: Taking taylor expansion of n in n 1540201932.274 * [misc]backup-simplify: Simplify 0 into 0 1540201932.274 * [misc]backup-simplify: Simplify 1 into 1 1540201932.274 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201932.275 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201932.275 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.275 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.275 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201932.275 * [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))) 1540201932.276 * [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)))) 1540201932.276 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.276 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201932.276 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201932.276 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.276 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.276 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.276 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.276 * [misc]taylor: Taking taylor expansion of k in n 1540201932.276 * [misc]backup-simplify: Simplify k into k 1540201932.276 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.276 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.276 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.276 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.276 * [misc]backup-simplify: Simplify PI into PI 1540201932.277 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.277 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.277 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.277 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201932.277 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.278 * [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))) 1540201932.278 * [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)))) 1540201932.279 * [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))))) 1540201932.280 * [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))))) 1540201932.280 * [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 1540201932.281 * [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 1540201932.281 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201932.282 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540201932.283 * [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)))))) 1540201932.283 * [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 1540201932.283 * [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 1540201932.283 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.284 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.284 * [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 1540201932.284 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.284 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201932.284 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201932.284 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.284 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.284 * [misc]taylor: Taking taylor expansion of k in n 1540201932.284 * [misc]backup-simplify: Simplify k into k 1540201932.284 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.284 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201932.284 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201932.284 * [misc]taylor: Taking taylor expansion of -1 in n 1540201932.284 * [misc]backup-simplify: Simplify -1 into -1 1540201932.284 * [misc]taylor: Taking taylor expansion of n in n 1540201932.284 * [misc]backup-simplify: Simplify 0 into 0 1540201932.284 * [misc]backup-simplify: Simplify 1 into 1 1540201932.284 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201932.284 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201932.285 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.285 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.285 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201932.285 * [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))) 1540201932.286 * [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)))) 1540201932.286 * [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 1540201932.286 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201932.286 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.286 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.286 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.286 * [misc]backup-simplify: Simplify 2 into 2 1540201932.286 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.286 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.286 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.286 * [misc]taylor: Taking taylor expansion of k in n 1540201932.286 * [misc]backup-simplify: Simplify k into k 1540201932.286 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.286 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.286 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.287 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.287 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201932.287 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.287 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201932.287 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201932.287 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.287 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.287 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.287 * [misc]taylor: Taking taylor expansion of k in n 1540201932.287 * [misc]backup-simplify: Simplify k into k 1540201932.287 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.287 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.287 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.287 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.287 * [misc]backup-simplify: Simplify PI into PI 1540201932.288 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.288 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.288 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.288 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201932.289 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.289 * [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))) 1540201932.290 * [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)))) 1540201932.290 * [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))))) 1540201932.291 * [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)))))) 1540201932.292 * [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)))))) 1540201932.295 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540201932.295 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201932.295 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201932.296 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.296 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1540201932.298 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201932.298 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540201932.301 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540201932.301 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201932.302 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201932.302 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.302 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201932.303 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1540201932.304 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201932.305 * [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 1540201932.305 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540201932.305 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540201932.305 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540201932.308 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540201932.308 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1540201932.309 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1540201932.310 * [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 1540201932.311 * [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 1540201932.311 * [misc]backup-simplify: Simplify 0 into 0 1540201932.312 * [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 1540201932.313 * [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 1540201932.313 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540201932.314 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540201932.317 * [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)))))))) 1540201932.317 * [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 1540201932.317 * [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 1540201932.317 * [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 1540201932.317 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.317 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.317 * [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 1540201932.317 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201932.317 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.317 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.317 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.317 * [misc]backup-simplify: Simplify 2 into 2 1540201932.317 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.317 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.317 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.317 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.318 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.318 * [misc]taylor: Taking taylor expansion of k in n 1540201932.318 * [misc]backup-simplify: Simplify k into k 1540201932.318 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.318 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.318 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.318 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.318 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.319 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201932.319 * [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 1540201932.319 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.319 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201932.319 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201932.319 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.319 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.319 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.319 * [misc]taylor: Taking taylor expansion of k in n 1540201932.319 * [misc]backup-simplify: Simplify k into k 1540201932.319 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.319 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201932.319 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201932.319 * [misc]taylor: Taking taylor expansion of -1 in n 1540201932.319 * [misc]backup-simplify: Simplify -1 into -1 1540201932.319 * [misc]taylor: Taking taylor expansion of n in n 1540201932.319 * [misc]backup-simplify: Simplify 0 into 0 1540201932.319 * [misc]backup-simplify: Simplify 1 into 1 1540201932.319 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201932.320 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201932.320 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.320 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.320 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201932.321 * [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))) 1540201932.321 * [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)))) 1540201932.321 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.321 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201932.321 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201932.321 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.321 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.321 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.321 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.321 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.321 * [misc]taylor: Taking taylor expansion of k in n 1540201932.321 * [misc]backup-simplify: Simplify k into k 1540201932.321 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.321 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.321 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.321 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.322 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.322 * [misc]backup-simplify: Simplify PI into PI 1540201932.322 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.322 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.322 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.322 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201932.323 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.323 * [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 1540201932.323 * [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 1540201932.323 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540201932.323 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540201932.323 * [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 1540201932.323 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.323 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540201932.323 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540201932.323 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.323 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.323 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.323 * [misc]taylor: Taking taylor expansion of k in n 1540201932.323 * [misc]backup-simplify: Simplify k into k 1540201932.323 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.324 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540201932.324 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540201932.324 * [misc]taylor: Taking taylor expansion of -1 in n 1540201932.324 * [misc]backup-simplify: Simplify -1 into -1 1540201932.324 * [misc]taylor: Taking taylor expansion of n in n 1540201932.324 * [misc]backup-simplify: Simplify 0 into 0 1540201932.324 * [misc]backup-simplify: Simplify 1 into 1 1540201932.324 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540201932.324 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540201932.324 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.324 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.325 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540201932.325 * [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))) 1540201932.325 * [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)))) 1540201932.325 * [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 1540201932.325 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540201932.325 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.326 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540201932.326 * [misc]taylor: Taking taylor expansion of 2 in n 1540201932.326 * [misc]backup-simplify: Simplify 2 into 2 1540201932.326 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540201932.326 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.326 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.326 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.326 * [misc]taylor: Taking taylor expansion of k in n 1540201932.326 * [misc]backup-simplify: Simplify k into k 1540201932.326 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.326 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.326 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.327 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.327 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540201932.327 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540201932.327 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540201932.327 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540201932.327 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540201932.327 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540201932.327 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.327 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540201932.327 * [misc]taylor: Taking taylor expansion of k in n 1540201932.327 * [misc]backup-simplify: Simplify k into k 1540201932.327 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540201932.327 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540201932.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540201932.327 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540201932.327 * [misc]taylor: Taking taylor expansion of PI in n 1540201932.327 * [misc]backup-simplify: Simplify PI into PI 1540201932.328 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540201932.328 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540201932.328 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540201932.328 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540201932.328 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540201932.329 * [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))) 1540201932.330 * [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)))) 1540201932.330 * [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))))) 1540201932.331 * [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))) 1540201932.331 * [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)))) 1540201932.332 * [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))))) 1540201932.333 * [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)))))) 1540201932.334 * [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)))))) 1540201932.335 * [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)))))) 1540201932.336 * [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)))))) 1540201932.339 * [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))))))) 1540201932.339 * * * [misc]progress: simplifying candidates 1540201932.339 * * * * [misc]progress: [ 1 / 6878 ] simplifiying candidate # 1540201932.340 * * * * [misc]progress: [ 2 / 6878 ] simplifiying candidate # 1540201932.340 * * * * [misc]progress: [ 3 / 6878 ] simplifiying candidate # 1540201932.340 * * * * [misc]progress: [ 4 / 6878 ] simplifiying candidate # 1540201932.340 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540201932.340 * * [misc]simplify: iters left: 3 (5 enodes) 1540201932.342 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540201932.342 * [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)))))) 1540201932.342 * * * * [misc]progress: [ 5 / 6878 ] simplifiying candidate # 1540201932.342 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540201932.342 * * [misc]simplify: iters left: 5 (6 enodes) 1540201932.344 * * [misc]simplify: iters left: 4 (8 enodes) 1540201932.346 * * [misc]simplify: iters left: 3 (11 enodes) 1540201932.349 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540201932.349 * [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)))))) 1540201932.349 * * * * [misc]progress: [ 6 / 6878 ] simplifiying candidate # 1540201932.350 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540201932.350 * * [misc]simplify: iters left: 5 (6 enodes) 1540201932.352 * * [misc]simplify: iters left: 4 (8 enodes) 1540201932.354 * * [misc]simplify: iters left: 3 (11 enodes) 1540201932.357 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540201932.357 * [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)))))) 1540201932.357 * * * * [misc]progress: [ 7 / 6878 ] simplifiying candidate # 1540201932.358 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540201932.358 * * [misc]simplify: iters left: 4 (5 enodes) 1540201932.360 * * [misc]simplify: iters left: 3 (7 enodes) 1540201932.362 * * [misc]simplify: iters left: 2 (10 enodes) 1540201932.364 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540201932.365 * [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)))))) 1540201932.365 * * * * [misc]progress: [ 8 / 6878 ] simplifiying candidate # 1540201932.365 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540201932.365 * * [misc]simplify: iters left: 5 (6 enodes) 1540201932.367 * * [misc]simplify: iters left: 4 (8 enodes) 1540201932.370 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540201932.370 * [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)))))) 1540201932.370 * * * * [misc]progress: [ 9 / 6878 ] simplifiying candidate # 1540201932.370 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540201932.370 * * [misc]simplify: iters left: 5 (6 enodes) 1540201932.372 * * [misc]simplify: iters left: 4 (8 enodes) 1540201932.374 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540201932.374 * [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)))))) 1540201932.375 * * * * [misc]progress: [ 10 / 6878 ] simplifiying candidate # 1540201932.375 * * * * [misc]progress: [ 11 / 6878 ] simplifiying candidate # 1540201932.375 * * * * [misc]progress: [ 12 / 6878 ] simplifiying candidate # 1540201932.375 * * * * [misc]progress: [ 13 / 6878 ] simplifiying candidate # 1540201932.375 * * * * [misc]progress: [ 14 / 6878 ] simplifiying candidate # 1540201932.375 * * * * [misc]progress: [ 15 / 6878 ] simplifiying candidate # 1540201932.375 * * * * [misc]progress: [ 16 / 6878 ] simplifiying candidate # 1540201932.375 * * * * [misc]progress: [ 17 / 6878 ] simplifiying candidate # 1540201932.375 * * * * [misc]progress: [ 18 / 6878 ] simplifiying candidate # 1540201932.375 * * * * [misc]progress: [ 19 / 6878 ] simplifiying candidate # 1540201932.376 * * * * [misc]progress: [ 20 / 6878 ] simplifiying candidate # 1540201932.376 * [enter]simplify: Simplifying (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2)))) 1540201932.376 * * [misc]simplify: iters left: 6 (11 enodes) 1540201932.380 * * [misc]simplify: iters left: 5 (16 enodes) 1540201932.387 * * [misc]simplify: iters left: 4 (32 enodes) 1540201932.399 * * [misc]simplify: iters left: 3 (71 enodes) 1540201932.421 * * [misc]simplify: iters left: 2 (123 enodes) 1540201932.445 * * [misc]simplify: iters left: 1 (181 enodes) 1540201932.473 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt (sqrt k)))) 1540201932.473 * [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 (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt (sqrt k))))))) 1540201932.473 * * * * [misc]progress: [ 21 / 6878 ] simplifiying candidate # 1540201932.473 * [enter]simplify: Simplifying (- (log (sqrt (sqrt k))) (log (pow 2 (- 1/2 (/ k 2))))) 1540201932.473 * * [misc]simplify: iters left: 6 (11 enodes) 1540201932.475 * * [misc]simplify: iters left: 5 (17 enodes) 1540201932.478 * * [misc]simplify: iters left: 4 (26 enodes) 1540201932.482 * * [misc]simplify: iters left: 3 (43 enodes) 1540201932.490 * * [misc]simplify: iters left: 2 (92 enodes) 1540201932.520 * * [misc]simplify: iters left: 1 (144 enodes) 1540201932.550 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log 2) (log (sqrt (sqrt k)))) 1540201932.550 * [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 (fma (+ (/ k 2) -1/2) (log 2) (log (sqrt (sqrt k))))))) 1540201932.551 * * * * [misc]progress: [ 22 / 6878 ] simplifiying candidate # 1540201932.551 * * * * [misc]progress: [ 23 / 6878 ] simplifiying candidate # 1540201932.551 * * * * [misc]progress: [ 24 / 6878 ] simplifiying candidate # 1540201932.551 * [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))))) 1540201932.551 * * [misc]simplify: iters left: 6 (13 enodes) 1540201932.553 * * [misc]simplify: iters left: 5 (24 enodes) 1540201932.557 * * [misc]simplify: iters left: 4 (56 enodes) 1540201932.571 * * [misc]simplify: iters left: 3 (106 enodes) 1540201932.612 * * [misc]simplify: iters left: 2 (164 enodes) 1540201932.674 * * [misc]simplify: iters left: 1 (181 enodes) 1540201932.713 * [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))))) 1540201932.713 * [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)))))))) 1540201932.713 * * * * [misc]progress: [ 25 / 6878 ] simplifiying candidate # 1540201932.713 * * * * [misc]progress: [ 26 / 6878 ] simplifiying candidate # 1540201932.713 * * * * [misc]progress: [ 27 / 6878 ] simplifiying candidate # 1540201932.713 * * * * [misc]progress: [ 28 / 6878 ] simplifiying candidate # 1540201932.714 * * * * [misc]progress: [ 29 / 6878 ] simplifiying candidate # 1540201932.714 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2)) 1540201932.714 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.717 * * [misc]simplify: iters left: 5 (12 enodes) 1540201932.721 * * [misc]simplify: iters left: 4 (14 enodes) 1540201932.725 * * [misc]simplify: iters left: 3 (15 enodes) 1540201932.730 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2)) 1540201932.730 * [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))))))) 1540201932.730 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201932.731 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.733 * * [misc]simplify: iters left: 5 (11 enodes) 1540201932.736 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540201932.736 * [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)))))) 1540201932.736 * * * * [misc]progress: [ 30 / 6878 ] simplifiying candidate # 1540201932.736 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2)) 1540201932.736 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.739 * * [misc]simplify: iters left: 5 (12 enodes) 1540201932.741 * * [misc]simplify: iters left: 4 (14 enodes) 1540201932.744 * * [misc]simplify: iters left: 3 (15 enodes) 1540201932.746 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2)) 1540201932.746 * [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))))))) 1540201932.747 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201932.747 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.748 * * [misc]simplify: iters left: 5 (11 enodes) 1540201932.749 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540201932.749 * [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)))))) 1540201932.749 * * * * [misc]progress: [ 31 / 6878 ] simplifiying candidate # 1540201932.750 * [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)))))) 1540201932.750 * * [misc]simplify: iters left: 6 (13 enodes) 1540201932.752 * * [misc]simplify: iters left: 5 (21 enodes) 1540201932.755 * * [misc]simplify: iters left: 4 (33 enodes) 1540201932.759 * * [misc]simplify: iters left: 3 (36 enodes) 1540201932.764 * * [misc]simplify: iters left: 2 (39 enodes) 1540201932.769 * [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)))))) 1540201932.769 * [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)))))))) 1540201932.769 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.769 * * [misc]simplify: iters left: 6 (11 enodes) 1540201932.770 * * [misc]simplify: iters left: 5 (13 enodes) 1540201932.772 * * [misc]simplify: iters left: 4 (16 enodes) 1540201932.774 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.774 * [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)))))))) 1540201932.774 * * * * [misc]progress: [ 32 / 6878 ] simplifiying candidate # 1540201932.775 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.775 * * [misc]simplify: iters left: 6 (12 enodes) 1540201932.776 * * [misc]simplify: iters left: 5 (16 enodes) 1540201932.779 * * [misc]simplify: iters left: 4 (21 enodes) 1540201932.782 * * [misc]simplify: iters left: 3 (22 enodes) 1540201932.785 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.785 * [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)))))))) 1540201932.786 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.786 * * [misc]simplify: iters left: 6 (11 enodes) 1540201932.787 * * [misc]simplify: iters left: 5 (13 enodes) 1540201932.789 * * [misc]simplify: iters left: 4 (16 enodes) 1540201932.791 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.791 * [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 (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540201932.791 * * * * [misc]progress: [ 33 / 6878 ] simplifiying candidate # 1540201932.791 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1) 1540201932.792 * * [misc]simplify: iters left: 6 (7 enodes) 1540201932.794 * * [misc]simplify: iters left: 5 (11 enodes) 1540201932.798 * * [misc]simplify: iters left: 4 (17 enodes) 1540201932.802 * * [misc]simplify: iters left: 3 (31 enodes) 1540201932.811 * * [misc]simplify: iters left: 2 (57 enodes) 1540201932.821 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540201932.821 * [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))))))) 1540201932.821 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540201932.821 * * [misc]simplify: iters left: 6 (10 enodes) 1540201932.822 * * [misc]simplify: iters left: 5 (12 enodes) 1540201932.824 * * [misc]simplify: iters left: 4 (15 enodes) 1540201932.826 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540201932.826 * [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))))))) 1540201932.826 * * * * [misc]progress: [ 34 / 6878 ] simplifiying candidate # 1540201932.826 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2)) 1540201932.826 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.828 * * [misc]simplify: iters left: 5 (11 enodes) 1540201932.830 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt 2)) 1540201932.830 * [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))))))) 1540201932.830 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201932.830 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.832 * * [misc]simplify: iters left: 5 (11 enodes) 1540201932.833 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540201932.833 * [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)))))) 1540201932.833 * * * * [misc]progress: [ 35 / 6878 ] simplifiying candidate # 1540201932.834 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2)) 1540201932.834 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.836 * * [misc]simplify: iters left: 5 (11 enodes) 1540201932.838 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt 2)) 1540201932.838 * [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))))))) 1540201932.838 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201932.838 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.839 * * [misc]simplify: iters left: 5 (11 enodes) 1540201932.840 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540201932.840 * [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)))))) 1540201932.841 * * * * [misc]progress: [ 36 / 6878 ] simplifiying candidate # 1540201932.841 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201932.841 * * [misc]simplify: iters left: 6 (13 enodes) 1540201932.843 * * [misc]simplify: iters left: 5 (18 enodes) 1540201932.847 * * [misc]simplify: iters left: 4 (21 enodes) 1540201932.852 * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.852 * [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)))))))) 1540201932.853 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.853 * * [misc]simplify: iters left: 6 (11 enodes) 1540201932.854 * * [misc]simplify: iters left: 5 (13 enodes) 1540201932.856 * * [misc]simplify: iters left: 4 (16 enodes) 1540201932.858 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.858 * [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)))))))) 1540201932.858 * * * * [misc]progress: [ 37 / 6878 ] simplifiying candidate # 1540201932.858 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.858 * * [misc]simplify: iters left: 6 (12 enodes) 1540201932.860 * * [misc]simplify: iters left: 5 (15 enodes) 1540201932.862 * * [misc]simplify: iters left: 4 (18 enodes) 1540201932.864 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.864 * [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)))))))) 1540201932.865 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.865 * * [misc]simplify: iters left: 6 (11 enodes) 1540201932.866 * * [misc]simplify: iters left: 5 (13 enodes) 1540201932.868 * * [misc]simplify: iters left: 4 (16 enodes) 1540201932.870 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.870 * [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))))) (* (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540201932.870 * * * * [misc]progress: [ 38 / 6878 ] simplifiying candidate # 1540201932.870 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1540201932.870 * * [misc]simplify: iters left: 6 (7 enodes) 1540201932.871 * * [misc]simplify: iters left: 5 (10 enodes) 1540201932.874 * * [misc]simplify: iters left: 4 (12 enodes) 1540201932.875 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1540201932.875 * [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))))))) 1540201932.875 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540201932.875 * * [misc]simplify: iters left: 6 (10 enodes) 1540201932.877 * * [misc]simplify: iters left: 5 (12 enodes) 1540201932.878 * * [misc]simplify: iters left: 4 (15 enodes) 1540201932.882 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540201932.882 * [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))))))) 1540201932.882 * * * * [misc]progress: [ 39 / 6878 ] simplifiying candidate # 1540201932.882 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2)) 1540201932.882 * * [misc]simplify: iters left: 5 (8 enodes) 1540201932.886 * * [misc]simplify: iters left: 4 (9 enodes) 1540201932.890 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1540201932.890 * [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))))))) 1540201932.890 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201932.890 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.893 * * [misc]simplify: iters left: 5 (11 enodes) 1540201932.896 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540201932.896 * [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)))))) 1540201932.896 * * * * [misc]progress: [ 40 / 6878 ] simplifiying candidate # 1540201932.896 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2)) 1540201932.896 * * [misc]simplify: iters left: 5 (8 enodes) 1540201932.900 * * [misc]simplify: iters left: 4 (9 enodes) 1540201932.903 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1540201932.903 * [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))))))) 1540201932.903 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201932.903 * * [misc]simplify: iters left: 6 (9 enodes) 1540201932.906 * * [misc]simplify: iters left: 5 (11 enodes) 1540201932.909 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540201932.909 * [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)))))) 1540201932.909 * * * * [misc]progress: [ 41 / 6878 ] simplifiying candidate # 1540201932.909 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201932.909 * * [misc]simplify: iters left: 6 (12 enodes) 1540201932.913 * * [misc]simplify: iters left: 5 (16 enodes) 1540201932.916 * * [misc]simplify: iters left: 4 (19 enodes) 1540201932.921 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201932.921 * [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)))))))) 1540201932.921 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.922 * * [misc]simplify: iters left: 6 (11 enodes) 1540201932.924 * * [misc]simplify: iters left: 5 (13 enodes) 1540201932.928 * * [misc]simplify: iters left: 4 (16 enodes) 1540201932.931 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.931 * [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)))))))) 1540201932.931 * * * * [misc]progress: [ 42 / 6878 ] simplifiying candidate # 1540201932.932 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.932 * * [misc]simplify: iters left: 6 (11 enodes) 1540201932.935 * * [misc]simplify: iters left: 5 (13 enodes) 1540201932.938 * * [misc]simplify: iters left: 4 (16 enodes) 1540201932.941 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.941 * [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)))))))) 1540201932.942 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.942 * * [misc]simplify: iters left: 6 (11 enodes) 1540201932.945 * * [misc]simplify: iters left: 5 (13 enodes) 1540201932.949 * * [misc]simplify: iters left: 4 (16 enodes) 1540201932.953 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201932.954 * [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)))))))) 1540201932.954 * * * * [misc]progress: [ 43 / 6878 ] simplifiying candidate # 1540201932.954 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1540201932.954 * * [misc]simplify: iters left: 5 (6 enodes) 1540201932.956 * * [misc]simplify: iters left: 4 (8 enodes) 1540201932.959 * * [misc]simplify: iters left: 3 (10 enodes) 1540201932.961 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1540201932.961 * [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))))))) 1540201932.961 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540201932.962 * * [misc]simplify: iters left: 6 (10 enodes) 1540201932.965 * * [misc]simplify: iters left: 5 (12 enodes) 1540201932.970 * * [misc]simplify: iters left: 4 (15 enodes) 1540201932.975 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540201932.975 * [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))))))) 1540201932.975 * * * * [misc]progress: [ 44 / 6878 ] simplifiying candidate # 1540201932.976 * [enter]simplify: Simplifying (/ (sqrt 1) (pow 2 1/2)) 1540201932.976 * * [misc]simplify: iters left: 3 (6 enodes) 1540201932.979 * * [misc]simplify: iters left: 2 (9 enodes) 1540201932.982 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540201932.982 * [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))))))) 1540201932.982 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540201932.983 * * [misc]simplify: iters left: 6 (8 enodes) 1540201932.985 * * [misc]simplify: iters left: 5 (10 enodes) 1540201932.988 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540201932.988 * [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)))))) 1540201932.988 * * * * [misc]progress: [ 45 / 6878 ] simplifiying candidate # 1540201932.988 * [enter]simplify: Simplifying (/ (sqrt 1) (pow 2 1/2)) 1540201932.988 * * [misc]simplify: iters left: 3 (6 enodes) 1540201932.992 * * [misc]simplify: iters left: 2 (9 enodes) 1540201932.995 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540201932.995 * [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))))))) 1540201932.995 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540201932.995 * * [misc]simplify: iters left: 6 (8 enodes) 1540201932.997 * * [misc]simplify: iters left: 5 (10 enodes) 1540201933.000 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540201933.000 * [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)))))) 1540201933.001 * * * * [misc]progress: [ 46 / 6878 ] simplifiying candidate # 1540201933.001 * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201933.001 * * [misc]simplify: iters left: 6 (11 enodes) 1540201933.005 * * [misc]simplify: iters left: 5 (17 enodes) 1540201933.009 * * [misc]simplify: iters left: 4 (21 enodes) 1540201933.014 * * [misc]simplify: iters left: 3 (23 enodes) 1540201933.021 * * [misc]simplify: iters left: 2 (24 enodes) 1540201933.027 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201933.027 * [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)))))))) 1540201933.027 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.027 * * [misc]simplify: iters left: 6 (10 enodes) 1540201933.030 * * [misc]simplify: iters left: 5 (12 enodes) 1540201933.034 * * [misc]simplify: iters left: 4 (15 enodes) 1540201933.038 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.038 * [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)))))))) 1540201933.038 * * * * [misc]progress: [ 47 / 6878 ] simplifiying candidate # 1540201933.038 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.039 * * [misc]simplify: iters left: 6 (10 enodes) 1540201933.042 * * [misc]simplify: iters left: 5 (14 enodes) 1540201933.046 * * [misc]simplify: iters left: 4 (17 enodes) 1540201933.050 * [exit]simplify: Simplified to (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.050 * [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)))))))) 1540201933.050 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.050 * * [misc]simplify: iters left: 6 (10 enodes) 1540201933.053 * * [misc]simplify: iters left: 5 (12 enodes) 1540201933.056 * * [misc]simplify: iters left: 4 (15 enodes) 1540201933.060 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.060 * [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 (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540201933.060 * * * * [misc]progress: [ 48 / 6878 ] simplifiying candidate # 1540201933.061 * [enter]simplify: Simplifying (/ (sqrt 1) 1) 1540201933.061 * * [misc]simplify: iters left: 3 (3 enodes) 1540201933.062 * * [misc]simplify: iters left: 2 (5 enodes) 1540201933.063 * [exit]simplify: Simplified to 1 1540201933.063 * [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))))))) 1540201933.063 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201933.064 * * [misc]simplify: iters left: 6 (9 enodes) 1540201933.066 * * [misc]simplify: iters left: 5 (11 enodes) 1540201933.069 * * [misc]simplify: iters left: 4 (14 enodes) 1540201933.073 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201933.073 * [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))))))) 1540201933.073 * * * * [misc]progress: [ 49 / 6878 ] simplifiying candidate # 1540201933.073 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2)) 1540201933.073 * * [misc]simplify: iters left: 5 (8 enodes) 1540201933.076 * * [misc]simplify: iters left: 4 (9 enodes) 1540201933.079 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1540201933.079 * [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))))))) 1540201933.079 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201933.080 * * [misc]simplify: iters left: 6 (9 enodes) 1540201933.082 * * [misc]simplify: iters left: 5 (11 enodes) 1540201933.085 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540201933.085 * [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)))))) 1540201933.086 * * * * [misc]progress: [ 50 / 6878 ] simplifiying candidate # 1540201933.086 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2)) 1540201933.086 * * [misc]simplify: iters left: 5 (8 enodes) 1540201933.089 * * [misc]simplify: iters left: 4 (9 enodes) 1540201933.092 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1540201933.092 * [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))))))) 1540201933.092 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540201933.093 * * [misc]simplify: iters left: 6 (9 enodes) 1540201933.095 * * [misc]simplify: iters left: 5 (11 enodes) 1540201933.098 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540201933.098 * [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)))))) 1540201933.098 * * * * [misc]progress: [ 51 / 6878 ] simplifiying candidate # 1540201933.099 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201933.099 * * [misc]simplify: iters left: 6 (12 enodes) 1540201933.102 * * [misc]simplify: iters left: 5 (16 enodes) 1540201933.106 * * [misc]simplify: iters left: 4 (19 enodes) 1540201933.111 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201933.111 * [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)))))))) 1540201933.112 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.112 * * [misc]simplify: iters left: 6 (11 enodes) 1540201933.115 * * [misc]simplify: iters left: 5 (13 enodes) 1540201933.118 * * [misc]simplify: iters left: 4 (16 enodes) 1540201933.122 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.122 * [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))) (* (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)))))))) 1540201933.122 * * * * [misc]progress: [ 52 / 6878 ] simplifiying candidate # 1540201933.122 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.122 * * [misc]simplify: iters left: 6 (11 enodes) 1540201933.125 * * [misc]simplify: iters left: 5 (13 enodes) 1540201933.129 * * [misc]simplify: iters left: 4 (16 enodes) 1540201933.132 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.132 * [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)))))))) 1540201933.132 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.132 * * [misc]simplify: iters left: 6 (11 enodes) 1540201933.134 * * [misc]simplify: iters left: 5 (13 enodes) 1540201933.135 * * [misc]simplify: iters left: 4 (16 enodes) 1540201933.137 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.137 * [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)))))))) 1540201933.137 * * * * [misc]progress: [ 53 / 6878 ] simplifiying candidate # 1540201933.138 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1540201933.138 * * [misc]simplify: iters left: 5 (6 enodes) 1540201933.138 * * [misc]simplify: iters left: 4 (8 enodes) 1540201933.140 * * [misc]simplify: iters left: 3 (10 enodes) 1540201933.141 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1540201933.141 * [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))))))) 1540201933.141 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540201933.141 * * [misc]simplify: iters left: 6 (10 enodes) 1540201933.142 * * [misc]simplify: iters left: 5 (12 enodes) 1540201933.144 * * [misc]simplify: iters left: 4 (15 enodes) 1540201933.147 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540201933.147 * [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))))))) 1540201933.147 * * * * [misc]progress: [ 54 / 6878 ] simplifiying candidate # 1540201933.147 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1540201933.147 * * [misc]simplify: iters left: 3 (5 enodes) 1540201933.148 * * [misc]simplify: iters left: 2 (8 enodes) 1540201933.150 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540201933.150 * [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))))))) 1540201933.150 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540201933.150 * * [misc]simplify: iters left: 6 (8 enodes) 1540201933.151 * * [misc]simplify: iters left: 5 (10 enodes) 1540201933.152 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540201933.152 * [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)))))) 1540201933.153 * * * * [misc]progress: [ 55 / 6878 ] simplifiying candidate # 1540201933.153 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1540201933.153 * * [misc]simplify: iters left: 3 (5 enodes) 1540201933.154 * * [misc]simplify: iters left: 2 (8 enodes) 1540201933.155 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540201933.155 * [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))))))) 1540201933.155 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540201933.155 * * [misc]simplify: iters left: 6 (8 enodes) 1540201933.157 * * [misc]simplify: iters left: 5 (10 enodes) 1540201933.158 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540201933.158 * [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)))))) 1540201933.158 * * * * [misc]progress: [ 56 / 6878 ] simplifiying candidate # 1540201933.158 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201933.158 * * [misc]simplify: iters left: 6 (10 enodes) 1540201933.160 * * [misc]simplify: iters left: 5 (16 enodes) 1540201933.164 * * [misc]simplify: iters left: 4 (19 enodes) 1540201933.169 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540201933.169 * [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)))))))) 1540201933.169 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.169 * * [misc]simplify: iters left: 6 (10 enodes) 1540201933.172 * * [misc]simplify: iters left: 5 (12 enodes) 1540201933.175 * * [misc]simplify: iters left: 4 (15 enodes) 1540201933.178 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.178 * [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)))))))) 1540201933.179 * * * * [misc]progress: [ 57 / 6878 ] simplifiying candidate # 1540201933.179 * [enter]simplify: Simplifying (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.179 * * [misc]simplify: iters left: 6 (9 enodes) 1540201933.181 * * [misc]simplify: iters left: 5 (13 enodes) 1540201933.185 * * [misc]simplify: iters left: 4 (16 enodes) 1540201933.188 * [exit]simplify: Simplified to (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.188 * [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 (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540201933.189 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.189 * * [misc]simplify: iters left: 6 (10 enodes) 1540201933.191 * * [misc]simplify: iters left: 5 (12 enodes) 1540201933.194 * * [misc]simplify: iters left: 4 (15 enodes) 1540201933.197 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540201933.197 * [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)))))))) 1540201933.197 * * * * [misc]progress: [ 58 / 6878 ] simplifiying candidate # 1540201933.197 * [enter]simplify: Simplifying (/ 1 1) 1540201933.197 * * [misc]simplify: iters left: 2 (2 enodes) 1540201933.198 * * [misc]simplify: iters left: 1 (4 enodes) 1540201933.198 * [exit]simplify: Simplified to 1 1540201933.198 * [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))))))) 1540201933.198 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201933.198 * * [misc]simplify: iters left: 6 (9 enodes) 1540201933.199 * * [misc]simplify: iters left: 5 (11 enodes) 1540201933.201 * * [misc]simplify: iters left: 4 (14 enodes) 1540201933.202 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540201933.202 * [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))))))) 1540201933.203 * * * * [misc]progress: [ 59 / 6878 ] simplifiying candidate # 1540201933.203 * * * * [misc]progress: [ 60 / 6878 ] simplifiying candidate # 1540201933.203 * * * * [misc]progress: [ 61 / 6878 ] simplifiying candidate # 1540201933.203 * * * * [misc]progress: [ 62 / 6878 ] simplifiying candidate # 1540201933.203 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1540201933.203 * * [misc]simplify: iters left: 5 (5 enodes) 1540201933.204 * * [misc]simplify: iters left: 4 (7 enodes) 1540201933.205 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1540201933.205 * [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)))))) 1540201933.205 * * * * [misc]progress: [ 63 / 6878 ] simplifiying candidate # 1540201933.205 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1540201933.205 * * [misc]simplify: iters left: 5 (5 enodes) 1540201933.206 * * [misc]simplify: iters left: 4 (7 enodes) 1540201933.206 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1540201933.206 * [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)))))) 1540201933.207 * * * * [misc]progress: [ 64 / 6878 ] simplifiying candidate # 1540201933.207 * [enter]simplify: Simplifying (cbrt (pow 2 (- 1/2 (/ k 2)))) 1540201933.207 * * [misc]simplify: iters left: 6 (7 enodes) 1540201933.208 * * [misc]simplify: iters left: 5 (9 enodes) 1540201933.209 * * [misc]simplify: iters left: 4 (12 enodes) 1540201933.210 * [exit]simplify: Simplified to (cbrt (pow 2 (- 1/2 (/ k 2)))) 1540201933.210 * [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))))))) 1540201933.210 * * * * [misc]progress: [ 65 / 6878 ] simplifiying candidate # 1540201933.211 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (/ k 2)))) 1540201933.211 * * [misc]simplify: iters left: 6 (7 enodes) 1540201933.212 * * [misc]simplify: iters left: 5 (9 enodes) 1540201933.213 * * [misc]simplify: iters left: 4 (12 enodes) 1540201933.214 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (/ k 2)))) 1540201933.214 * [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))))))) 1540201933.214 * * * * [misc]progress: [ 66 / 6878 ] simplifiying candidate # 1540201933.214 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540201933.215 * * [misc]simplify: iters left: 5 (6 enodes) 1540201933.215 * * [misc]simplify: iters left: 4 (8 enodes) 1540201933.216 * * [misc]simplify: iters left: 3 (11 enodes) 1540201933.218 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540201933.218 * [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)))))) 1540201933.218 * * * * [misc]progress: [ 67 / 6878 ] simplifiying candidate # 1540201933.218 * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540201933.218 * * [misc]simplify: iters left: 5 (5 enodes) 1540201933.219 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540201933.219 * [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))))))) 1540201933.219 * * * * [misc]progress: [ 68 / 6878 ] simplifiying candidate # 1540201933.219 * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540201933.219 * * [misc]simplify: iters left: 5 (5 enodes) 1540201933.220 * * [misc]simplify: iters left: 4 (6 enodes) 1540201933.221 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1540201933.221 * [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))))))) 1540201933.221 * * * * [misc]progress: [ 69 / 6878 ] simplifiying candidate # 1540201933.221 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1540201933.221 * * [misc]simplify: iters left: 3 (4 enodes) 1540201933.221 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1540201933.221 * [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))))))) 1540201933.221 * * * * [misc]progress: [ 70 / 6878 ] simplifiying candidate # 1540201933.222 * [enter]simplify: Simplifying (sqrt 1) 1540201933.222 * * [misc]simplify: iters left: 1 (2 enodes) 1540201933.222 * [exit]simplify: Simplified to 1 1540201933.222 * [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)))))) 1540201933.222 * * * * [misc]progress: [ 71 / 6878 ] simplifiying candidate # 1540201933.223 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1540201933.223 * * [misc]simplify: iters left: 3 (4 enodes) 1540201933.223 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1540201933.223 * [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))))))) 1540201933.223 * * * * [misc]progress: [ 72 / 6878 ] simplifiying candidate # 1540201933.223 * * * * [misc]progress: [ 73 / 6878 ] simplifiying candidate # 1540201933.223 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1540201933.224 * * [misc]simplify: iters left: 3 (4 enodes) 1540201933.225 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1540201933.225 * [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))))) 1540201933.225 * * * * [misc]progress: [ 74 / 6878 ] simplifiying candidate # 1540201933.225 * * * * [misc]progress: [ 75 / 6878 ] simplifiying candidate # 1540201933.225 * * * * [misc]progress: [ 76 / 6878 ] simplifiying candidate # 1540201933.225 * * * * [misc]progress: [ 77 / 6878 ] simplifiying candidate # 1540201933.225 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) 1540201933.225 * * [misc]simplify: iters left: 6 (16 enodes) 1540201933.230 * * [misc]simplify: iters left: 5 (27 enodes) 1540201933.238 * * [misc]simplify: iters left: 4 (59 enodes) 1540201933.264 * * [misc]simplify: iters left: 3 (156 enodes) 1540201933.348 * * [misc]simplify: iters left: 2 (462 enodes) 1540201933.561 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) 1540201933.561 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540201933.561 * * * * [misc]progress: [ 78 / 6878 ] simplifiying candidate # 1540201933.562 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) 1540201933.562 * * [misc]simplify: iters left: 6 (16 enodes) 1540201933.564 * * [misc]simplify: iters left: 5 (28 enodes) 1540201933.568 * * [misc]simplify: iters left: 4 (53 enodes) 1540201933.578 * * [misc]simplify: iters left: 3 (117 enodes) 1540201933.617 * * [misc]simplify: iters left: 2 (309 enodes) 1540201933.780 * [exit]simplify: Simplified to (- (* (+ (log PI) (log n)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1540201933.780 * [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)))))) 1540201933.780 * * * * [misc]progress: [ 79 / 6878 ] simplifiying candidate # 1540201933.781 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201933.781 * * [misc]simplify: iters left: 6 (15 enodes) 1540201933.783 * * [misc]simplify: iters left: 5 (24 enodes) 1540201933.786 * * [misc]simplify: iters left: 4 (41 enodes) 1540201933.795 * * [misc]simplify: iters left: 3 (82 enodes) 1540201933.816 * * [misc]simplify: iters left: 2 (164 enodes) 1540201933.909 * * [misc]simplify: iters left: 1 (398 enodes) 1540201934.107 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) 1540201934.107 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540201934.108 * * * * [misc]progress: [ 80 / 6878 ] simplifiying candidate # 1540201934.108 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) 1540201934.108 * * [misc]simplify: iters left: 6 (16 enodes) 1540201934.110 * * [misc]simplify: iters left: 5 (27 enodes) 1540201934.117 * * [misc]simplify: iters left: 4 (53 enodes) 1540201934.137 * * [misc]simplify: iters left: 3 (128 enodes) 1540201934.221 * * [misc]simplify: iters left: 2 (416 enodes) 1540201934.474 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log n))) (log (sqrt (sqrt k)))) 1540201934.474 * [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)))))) 1540201934.474 * * * * [misc]progress: [ 81 / 6878 ] simplifiying candidate # 1540201934.475 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) 1540201934.475 * * [misc]simplify: iters left: 6 (16 enodes) 1540201934.479 * * [misc]simplify: iters left: 5 (28 enodes) 1540201934.491 * * [misc]simplify: iters left: 4 (47 enodes) 1540201934.505 * * [misc]simplify: iters left: 3 (89 enodes) 1540201934.550 * * [misc]simplify: iters left: 2 (269 enodes) 1540201934.654 * [exit]simplify: Simplified to (- (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1540201934.654 * [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)))))) 1540201934.654 * * * * [misc]progress: [ 82 / 6878 ] simplifiying candidate # 1540201934.654 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201934.654 * * [misc]simplify: iters left: 6 (15 enodes) 1540201934.657 * * [misc]simplify: iters left: 5 (24 enodes) 1540201934.660 * * [misc]simplify: iters left: 4 (36 enodes) 1540201934.667 * * [misc]simplify: iters left: 3 (58 enodes) 1540201934.693 * * [misc]simplify: iters left: 2 (136 enodes) 1540201934.742 * * [misc]simplify: iters left: 1 (338 enodes) 1540201934.872 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log n))) (log (sqrt (sqrt k)))) 1540201934.872 * [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)))))) 1540201934.872 * * * * [misc]progress: [ 83 / 6878 ] simplifiying candidate # 1540201934.872 * * * * [misc]progress: [ 84 / 6878 ] simplifiying candidate # 1540201934.872 * * * * [misc]progress: [ 85 / 6878 ] simplifiying candidate # 1540201934.872 * [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)))))) 1540201934.872 * * [misc]simplify: iters left: 6 (19 enodes) 1540201934.875 * * [misc]simplify: iters left: 5 (35 enodes) 1540201934.882 * * [misc]simplify: iters left: 4 (110 enodes) 1540201934.924 * * [misc]simplify: iters left: 3 (405 enodes) 1540201935.269 * [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)))))) 1540201935.269 * [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)))))) 1540201935.269 * * * * [misc]progress: [ 86 / 6878 ] simplifiying candidate # 1540201935.270 * [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)))))) 1540201935.270 * * [misc]simplify: iters left: 6 (17 enodes) 1540201935.272 * * [misc]simplify: iters left: 5 (34 enodes) 1540201935.278 * * [misc]simplify: iters left: 4 (91 enodes) 1540201935.305 * * [misc]simplify: iters left: 3 (263 enodes) 1540201935.533 * [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)))))) 1540201935.533 * [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)))))) 1540201935.533 * * * * [misc]progress: [ 87 / 6878 ] simplifiying candidate # 1540201935.533 * * * * [misc]progress: [ 88 / 6878 ] simplifiying candidate # 1540201935.533 * * * * [misc]progress: [ 89 / 6878 ] simplifiying candidate # 1540201935.533 * * * * [misc]progress: [ 90 / 6878 ] simplifiying candidate # 1540201935.533 * * * * [misc]progress: [ 91 / 6878 ] simplifiying candidate # 1540201935.533 * [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))))))) 1540201935.534 * * [misc]simplify: iters left: 6 (15 enodes) 1540201935.538 * * [misc]simplify: iters left: 5 (20 enodes) 1540201935.543 * * [misc]simplify: iters left: 4 (23 enodes) 1540201935.549 * [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)))))) 1540201935.549 * [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)))))) 1540201935.549 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201935.549 * * [misc]simplify: iters left: 6 (15 enodes) 1540201935.553 * * [misc]simplify: iters left: 5 (18 enodes) 1540201935.558 * * [misc]simplify: iters left: 4 (19 enodes) 1540201935.562 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201935.563 * [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)))))) 1540201935.563 * * * * [misc]progress: [ 92 / 6878 ] simplifiying candidate # 1540201935.563 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201935.563 * * [misc]simplify: iters left: 6 (14 enodes) 1540201935.567 * * [misc]simplify: iters left: 5 (17 enodes) 1540201935.571 * * [misc]simplify: iters left: 4 (20 enodes) 1540201935.576 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201935.576 * [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)))))) 1540201935.576 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201935.577 * * [misc]simplify: iters left: 6 (15 enodes) 1540201935.583 * * [misc]simplify: iters left: 5 (18 enodes) 1540201935.587 * * [misc]simplify: iters left: 4 (19 enodes) 1540201935.592 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201935.592 * [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)))))) 1540201935.592 * * * * [misc]progress: [ 93 / 6878 ] simplifiying candidate # 1540201935.593 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540201935.593 * * [misc]simplify: iters left: 6 (12 enodes) 1540201935.596 * * [misc]simplify: iters left: 5 (18 enodes) 1540201935.601 * * [misc]simplify: iters left: 4 (25 enodes) 1540201935.607 * * [misc]simplify: iters left: 3 (37 enodes) 1540201935.614 * * [misc]simplify: iters left: 2 (42 enodes) 1540201935.619 * * [misc]simplify: iters left: 1 (49 enodes) 1540201935.625 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540201935.625 * [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)))))) 1540201935.625 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201935.625 * * [misc]simplify: iters left: 6 (13 enodes) 1540201935.627 * * [misc]simplify: iters left: 5 (17 enodes) 1540201935.629 * * [misc]simplify: iters left: 4 (20 enodes) 1540201935.632 * * [misc]simplify: iters left: 3 (22 enodes) 1540201935.634 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201935.634 * [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)))))) 1540201935.634 * * * * [misc]progress: [ 94 / 6878 ] simplifiying candidate # 1540201935.635 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540201935.635 * * [misc]simplify: iters left: 6 (12 enodes) 1540201935.636 * * [misc]simplify: iters left: 5 (18 enodes) 1540201935.639 * * [misc]simplify: iters left: 4 (25 enodes) 1540201935.642 * * [misc]simplify: iters left: 3 (37 enodes) 1540201935.650 * * [misc]simplify: iters left: 2 (42 enodes) 1540201935.660 * * [misc]simplify: iters left: 1 (49 enodes) 1540201935.672 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540201935.673 * [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)))))) 1540201935.673 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201935.673 * * [misc]simplify: iters left: 6 (13 enodes) 1540201935.677 * * [misc]simplify: iters left: 5 (17 enodes) 1540201935.681 * * [misc]simplify: iters left: 4 (20 enodes) 1540201935.687 * * [misc]simplify: iters left: 3 (22 enodes) 1540201935.693 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201935.693 * [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)))))) 1540201935.694 * * * * [misc]progress: [ 95 / 6878 ] simplifiying candidate # 1540201935.694 * [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))))))) 1540201935.694 * * [misc]simplify: iters left: 6 (17 enodes) 1540201935.700 * * [misc]simplify: iters left: 5 (28 enodes) 1540201935.709 * * [misc]simplify: iters left: 4 (49 enodes) 1540201935.723 * * [misc]simplify: iters left: 3 (72 enodes) 1540201935.745 * * [misc]simplify: iters left: 2 (102 enodes) 1540201935.774 * * [misc]simplify: iters left: 1 (125 enodes) 1540201935.816 * [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))))) 1540201935.816 * [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)))))) 1540201935.816 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201935.816 * * [misc]simplify: iters left: 6 (16 enodes) 1540201935.821 * * [misc]simplify: iters left: 5 (21 enodes) 1540201935.827 * * [misc]simplify: iters left: 4 (25 enodes) 1540201935.834 * * [misc]simplify: iters left: 3 (27 enodes) 1540201935.840 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201935.841 * [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)))))) 1540201935.841 * * * * [misc]progress: [ 96 / 6878 ] simplifiying candidate # 1540201935.841 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201935.841 * * [misc]simplify: iters left: 6 (16 enodes) 1540201935.846 * * [misc]simplify: iters left: 5 (23 enodes) 1540201935.853 * * [misc]simplify: iters left: 4 (33 enodes) 1540201935.862 * * [misc]simplify: iters left: 3 (45 enodes) 1540201935.874 * * [misc]simplify: iters left: 2 (50 enodes) 1540201935.887 * * [misc]simplify: iters left: 1 (57 enodes) 1540201935.901 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540201935.902 * [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)))))) 1540201935.902 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201935.902 * * [misc]simplify: iters left: 6 (16 enodes) 1540201935.907 * * [misc]simplify: iters left: 5 (21 enodes) 1540201935.912 * * [misc]simplify: iters left: 4 (25 enodes) 1540201935.919 * * [misc]simplify: iters left: 3 (27 enodes) 1540201935.926 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201935.926 * [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)))))) 1540201935.926 * * * * [misc]progress: [ 97 / 6878 ] simplifiying candidate # 1540201935.927 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540201935.927 * * [misc]simplify: iters left: 6 (11 enodes) 1540201935.930 * * [misc]simplify: iters left: 5 (18 enodes) 1540201935.936 * * [misc]simplify: iters left: 4 (29 enodes) 1540201935.944 * * [misc]simplify: iters left: 3 (34 enodes) 1540201935.951 * * [misc]simplify: iters left: 2 (49 enodes) 1540201935.966 * * [misc]simplify: iters left: 1 (63 enodes) 1540201935.983 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201935.983 * [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)))))) 1540201935.984 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201935.984 * * [misc]simplify: iters left: 6 (15 enodes) 1540201935.988 * * [misc]simplify: iters left: 5 (20 enodes) 1540201935.994 * * [misc]simplify: iters left: 4 (24 enodes) 1540201936.000 * * [misc]simplify: iters left: 3 (26 enodes) 1540201936.007 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) 1540201936.007 * [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)))))) 1540201936.007 * * * * [misc]progress: [ 98 / 6878 ] simplifiying candidate # 1540201936.007 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540201936.007 * * [misc]simplify: iters left: 6 (12 enodes) 1540201936.011 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.015 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.020 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.023 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540201936.023 * [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)))))) 1540201936.023 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201936.023 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.025 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.027 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.029 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.032 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540201936.032 * [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)))))) 1540201936.032 * * * * [misc]progress: [ 99 / 6878 ] simplifiying candidate # 1540201936.033 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540201936.033 * * [misc]simplify: iters left: 6 (12 enodes) 1540201936.035 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.037 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.039 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.042 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540201936.042 * [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)))))) 1540201936.042 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201936.042 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.044 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.046 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.049 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.055 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540201936.055 * [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)))))) 1540201936.055 * * * * [misc]progress: [ 100 / 6878 ] simplifiying candidate # 1540201936.056 * [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))))))) 1540201936.056 * * [misc]simplify: iters left: 6 (17 enodes) 1540201936.061 * * [misc]simplify: iters left: 5 (25 enodes) 1540201936.065 * * [misc]simplify: iters left: 4 (33 enodes) 1540201936.070 * * [misc]simplify: iters left: 3 (42 enodes) 1540201936.076 * * [misc]simplify: iters left: 2 (50 enodes) 1540201936.082 * * [misc]simplify: iters left: 1 (52 enodes) 1540201936.089 * [exit]simplify: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201936.089 * [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)))))) 1540201936.089 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201936.089 * * [misc]simplify: iters left: 6 (16 enodes) 1540201936.091 * * [misc]simplify: iters left: 5 (21 enodes) 1540201936.096 * * [misc]simplify: iters left: 4 (25 enodes) 1540201936.103 * * [misc]simplify: iters left: 3 (27 enodes) 1540201936.109 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201936.109 * [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)))))) 1540201936.109 * * * * [misc]progress: [ 101 / 6878 ] simplifiying candidate # 1540201936.110 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.110 * * [misc]simplify: iters left: 6 (16 enodes) 1540201936.114 * * [misc]simplify: iters left: 5 (22 enodes) 1540201936.120 * * [misc]simplify: iters left: 4 (28 enodes) 1540201936.127 * * [misc]simplify: iters left: 3 (30 enodes) 1540201936.134 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201936.134 * [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)))))) 1540201936.134 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.134 * * [misc]simplify: iters left: 6 (16 enodes) 1540201936.137 * * [misc]simplify: iters left: 5 (21 enodes) 1540201936.140 * * [misc]simplify: iters left: 4 (25 enodes) 1540201936.143 * * [misc]simplify: iters left: 3 (27 enodes) 1540201936.147 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201936.147 * [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)))))) 1540201936.147 * * * * [misc]progress: [ 102 / 6878 ] simplifiying candidate # 1540201936.147 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540201936.147 * * [misc]simplify: iters left: 6 (11 enodes) 1540201936.149 * * [misc]simplify: iters left: 5 (16 enodes) 1540201936.151 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.153 * * [misc]simplify: iters left: 3 (24 enodes) 1540201936.156 * * [misc]simplify: iters left: 2 (26 enodes) 1540201936.159 * * [misc]simplify: iters left: 1 (29 enodes) 1540201936.162 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540201936.162 * [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)))))) 1540201936.162 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201936.162 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.165 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.169 * * [misc]simplify: iters left: 4 (24 enodes) 1540201936.172 * * [misc]simplify: iters left: 3 (26 enodes) 1540201936.175 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) 1540201936.175 * [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)))))) 1540201936.175 * * * * [misc]progress: [ 103 / 6878 ] simplifiying candidate # 1540201936.176 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201936.176 * * [misc]simplify: iters left: 6 (11 enodes) 1540201936.177 * * [misc]simplify: iters left: 5 (15 enodes) 1540201936.179 * * [misc]simplify: iters left: 4 (18 enodes) 1540201936.181 * * [misc]simplify: iters left: 3 (20 enodes) 1540201936.183 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540201936.183 * [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)))))) 1540201936.184 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201936.184 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.186 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.188 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.194 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.201 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540201936.201 * [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)))))) 1540201936.201 * * * * [misc]progress: [ 104 / 6878 ] simplifiying candidate # 1540201936.201 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201936.201 * * [misc]simplify: iters left: 6 (11 enodes) 1540201936.204 * * [misc]simplify: iters left: 5 (15 enodes) 1540201936.208 * * [misc]simplify: iters left: 4 (18 enodes) 1540201936.213 * * [misc]simplify: iters left: 3 (20 enodes) 1540201936.218 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540201936.218 * [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)))))) 1540201936.218 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201936.218 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.222 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.227 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.232 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.237 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540201936.238 * [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)))))) 1540201936.238 * * * * [misc]progress: [ 105 / 6878 ] simplifiying candidate # 1540201936.238 * [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))))))) 1540201936.238 * * [misc]simplify: iters left: 6 (16 enodes) 1540201936.243 * * [misc]simplify: iters left: 5 (23 enodes) 1540201936.246 * * [misc]simplify: iters left: 4 (31 enodes) 1540201936.250 * * [misc]simplify: iters left: 3 (40 enodes) 1540201936.256 * * [misc]simplify: iters left: 2 (48 enodes) 1540201936.261 * * [misc]simplify: iters left: 1 (50 enodes) 1540201936.268 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540201936.268 * [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)))))) 1540201936.269 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201936.269 * * [misc]simplify: iters left: 6 (16 enodes) 1540201936.271 * * [misc]simplify: iters left: 5 (21 enodes) 1540201936.274 * * [misc]simplify: iters left: 4 (25 enodes) 1540201936.277 * * [misc]simplify: iters left: 3 (27 enodes) 1540201936.280 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201936.280 * [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)))))) 1540201936.280 * * * * [misc]progress: [ 106 / 6878 ] simplifiying candidate # 1540201936.280 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.280 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.282 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.285 * * [misc]simplify: iters left: 4 (26 enodes) 1540201936.288 * * [misc]simplify: iters left: 3 (28 enodes) 1540201936.292 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540201936.292 * [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)))))) 1540201936.292 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.292 * * [misc]simplify: iters left: 6 (16 enodes) 1540201936.294 * * [misc]simplify: iters left: 5 (21 enodes) 1540201936.297 * * [misc]simplify: iters left: 4 (25 enodes) 1540201936.300 * * [misc]simplify: iters left: 3 (27 enodes) 1540201936.303 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201936.303 * [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)))))) 1540201936.303 * * * * [misc]progress: [ 107 / 6878 ] simplifiying candidate # 1540201936.303 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201936.303 * * [misc]simplify: iters left: 6 (10 enodes) 1540201936.305 * * [misc]simplify: iters left: 5 (15 enodes) 1540201936.307 * * [misc]simplify: iters left: 4 (22 enodes) 1540201936.309 * * [misc]simplify: iters left: 3 (24 enodes) 1540201936.312 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540201936.312 * [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)))))) 1540201936.312 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201936.312 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.314 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.316 * * [misc]simplify: iters left: 4 (24 enodes) 1540201936.319 * * [misc]simplify: iters left: 3 (26 enodes) 1540201936.322 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) 1540201936.322 * [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)))))) 1540201936.322 * * * * [misc]progress: [ 108 / 6878 ] simplifiying candidate # 1540201936.323 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1540201936.323 * * [misc]simplify: iters left: 5 (9 enodes) 1540201936.325 * * [misc]simplify: iters left: 4 (15 enodes) 1540201936.329 * * [misc]simplify: iters left: 3 (17 enodes) 1540201936.333 * * [misc]simplify: iters left: 2 (25 enodes) 1540201936.339 * * [misc]simplify: iters left: 1 (35 enodes) 1540201936.345 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540201936.345 * [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)))))) 1540201936.347 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201936.347 * * [misc]simplify: iters left: 6 (12 enodes) 1540201936.350 * * [misc]simplify: iters left: 5 (16 enodes) 1540201936.355 * * [misc]simplify: iters left: 4 (19 enodes) 1540201936.359 * * [misc]simplify: iters left: 3 (21 enodes) 1540201936.362 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540201936.362 * [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)))))) 1540201936.362 * * * * [misc]progress: [ 109 / 6878 ] simplifiying candidate # 1540201936.362 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1540201936.362 * * [misc]simplify: iters left: 5 (9 enodes) 1540201936.364 * * [misc]simplify: iters left: 4 (15 enodes) 1540201936.366 * * [misc]simplify: iters left: 3 (17 enodes) 1540201936.368 * * [misc]simplify: iters left: 2 (25 enodes) 1540201936.371 * * [misc]simplify: iters left: 1 (35 enodes) 1540201936.374 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540201936.374 * [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)))))) 1540201936.375 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201936.375 * * [misc]simplify: iters left: 6 (12 enodes) 1540201936.376 * * [misc]simplify: iters left: 5 (16 enodes) 1540201936.378 * * [misc]simplify: iters left: 4 (19 enodes) 1540201936.381 * * [misc]simplify: iters left: 3 (21 enodes) 1540201936.383 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540201936.383 * [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)))))) 1540201936.383 * * * * [misc]progress: [ 110 / 6878 ] simplifiying candidate # 1540201936.383 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540201936.383 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.386 * * [misc]simplify: iters left: 5 (24 enodes) 1540201936.389 * * [misc]simplify: iters left: 4 (32 enodes) 1540201936.393 * * [misc]simplify: iters left: 3 (45 enodes) 1540201936.399 * * [misc]simplify: iters left: 2 (70 enodes) 1540201936.410 * * [misc]simplify: iters left: 1 (96 enodes) 1540201936.427 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540201936.427 * [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)))))) 1540201936.428 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201936.428 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.432 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.438 * * [misc]simplify: iters left: 4 (24 enodes) 1540201936.444 * * [misc]simplify: iters left: 3 (26 enodes) 1540201936.447 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201936.447 * [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)))))) 1540201936.447 * * * * [misc]progress: [ 111 / 6878 ] simplifiying candidate # 1540201936.447 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.447 * * [misc]simplify: iters left: 6 (14 enodes) 1540201936.449 * * [misc]simplify: iters left: 5 (21 enodes) 1540201936.452 * * [misc]simplify: iters left: 4 (26 enodes) 1540201936.455 * * [misc]simplify: iters left: 3 (34 enodes) 1540201936.460 * * [misc]simplify: iters left: 2 (44 enodes) 1540201936.464 * * [misc]simplify: iters left: 1 (47 enodes) 1540201936.469 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201936.469 * [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)))))) 1540201936.469 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.469 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.471 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.473 * * [misc]simplify: iters left: 4 (24 enodes) 1540201936.476 * * [misc]simplify: iters left: 3 (26 enodes) 1540201936.480 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201936.480 * [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)))))) 1540201936.480 * * * * [misc]progress: [ 112 / 6878 ] simplifiying candidate # 1540201936.480 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) 1)) 1540201936.480 * * [misc]simplify: iters left: 5 (7 enodes) 1540201936.483 * * [misc]simplify: iters left: 4 (12 enodes) 1540201936.486 * [exit]simplify: Simplified to (sqrt PI) 1540201936.486 * [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)))))) 1540201936.486 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201936.486 * * [misc]simplify: iters left: 6 (14 enodes) 1540201936.490 * * [misc]simplify: iters left: 5 (19 enodes) 1540201936.495 * * [misc]simplify: iters left: 4 (23 enodes) 1540201936.501 * * [misc]simplify: iters left: 3 (25 enodes) 1540201936.507 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201936.507 * [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)))))) 1540201936.507 * * * * [misc]progress: [ 113 / 6878 ] simplifiying candidate # 1540201936.508 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201936.508 * * [misc]simplify: iters left: 6 (11 enodes) 1540201936.511 * * [misc]simplify: iters left: 5 (15 enodes) 1540201936.514 * * [misc]simplify: iters left: 4 (18 enodes) 1540201936.519 * * [misc]simplify: iters left: 3 (20 enodes) 1540201936.521 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540201936.521 * [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)))))) 1540201936.521 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201936.521 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.523 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.526 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.529 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.531 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540201936.531 * [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)))))) 1540201936.532 * * * * [misc]progress: [ 114 / 6878 ] simplifiying candidate # 1540201936.532 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201936.532 * * [misc]simplify: iters left: 6 (11 enodes) 1540201936.533 * * [misc]simplify: iters left: 5 (15 enodes) 1540201936.535 * * [misc]simplify: iters left: 4 (18 enodes) 1540201936.537 * * [misc]simplify: iters left: 3 (20 enodes) 1540201936.540 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540201936.540 * [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)))))) 1540201936.540 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201936.540 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.543 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.546 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.548 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.551 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540201936.551 * [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)))))) 1540201936.551 * * * * [misc]progress: [ 115 / 6878 ] simplifiying candidate # 1540201936.551 * [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))))))) 1540201936.551 * * [misc]simplify: iters left: 6 (16 enodes) 1540201936.553 * * [misc]simplify: iters left: 5 (23 enodes) 1540201936.556 * * [misc]simplify: iters left: 4 (31 enodes) 1540201936.560 * * [misc]simplify: iters left: 3 (40 enodes) 1540201936.565 * * [misc]simplify: iters left: 2 (48 enodes) 1540201936.571 * * [misc]simplify: iters left: 1 (50 enodes) 1540201936.577 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540201936.577 * [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)))))) 1540201936.577 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201936.577 * * [misc]simplify: iters left: 6 (16 enodes) 1540201936.579 * * [misc]simplify: iters left: 5 (21 enodes) 1540201936.582 * * [misc]simplify: iters left: 4 (25 enodes) 1540201936.585 * * [misc]simplify: iters left: 3 (27 enodes) 1540201936.588 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201936.588 * [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)))))) 1540201936.588 * * * * [misc]progress: [ 116 / 6878 ] simplifiying candidate # 1540201936.589 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.589 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.591 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.593 * * [misc]simplify: iters left: 4 (26 enodes) 1540201936.597 * * [misc]simplify: iters left: 3 (28 enodes) 1540201936.600 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540201936.600 * [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)))))) 1540201936.600 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.600 * * [misc]simplify: iters left: 6 (16 enodes) 1540201936.602 * * [misc]simplify: iters left: 5 (21 enodes) 1540201936.605 * * [misc]simplify: iters left: 4 (25 enodes) 1540201936.608 * * [misc]simplify: iters left: 3 (27 enodes) 1540201936.612 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201936.612 * [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)))))) 1540201936.612 * * * * [misc]progress: [ 117 / 6878 ] simplifiying candidate # 1540201936.612 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201936.612 * * [misc]simplify: iters left: 6 (10 enodes) 1540201936.613 * * [misc]simplify: iters left: 5 (15 enodes) 1540201936.616 * * [misc]simplify: iters left: 4 (22 enodes) 1540201936.618 * * [misc]simplify: iters left: 3 (24 enodes) 1540201936.620 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540201936.620 * [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)))))) 1540201936.620 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201936.621 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.623 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.625 * * [misc]simplify: iters left: 4 (24 enodes) 1540201936.628 * * [misc]simplify: iters left: 3 (26 enodes) 1540201936.632 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) 1540201936.632 * [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)))))) 1540201936.632 * * * * [misc]progress: [ 118 / 6878 ] simplifiying candidate # 1540201936.632 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1540201936.632 * * [misc]simplify: iters left: 5 (8 enodes) 1540201936.633 * * [misc]simplify: iters left: 4 (14 enodes) 1540201936.635 * * [misc]simplify: iters left: 3 (16 enodes) 1540201936.637 * * [misc]simplify: iters left: 2 (25 enodes) 1540201936.640 * * [misc]simplify: iters left: 1 (28 enodes) 1540201936.643 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540201936.643 * [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)))))) 1540201936.643 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201936.643 * * [misc]simplify: iters left: 6 (12 enodes) 1540201936.645 * * [misc]simplify: iters left: 5 (16 enodes) 1540201936.647 * * [misc]simplify: iters left: 4 (19 enodes) 1540201936.649 * * [misc]simplify: iters left: 3 (21 enodes) 1540201936.651 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540201936.652 * [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)))))) 1540201936.652 * * * * [misc]progress: [ 119 / 6878 ] simplifiying candidate # 1540201936.652 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1540201936.652 * * [misc]simplify: iters left: 5 (8 enodes) 1540201936.653 * * [misc]simplify: iters left: 4 (14 enodes) 1540201936.655 * * [misc]simplify: iters left: 3 (16 enodes) 1540201936.657 * * [misc]simplify: iters left: 2 (25 enodes) 1540201936.660 * * [misc]simplify: iters left: 1 (28 enodes) 1540201936.663 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540201936.663 * [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)))))) 1540201936.663 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201936.663 * * [misc]simplify: iters left: 6 (12 enodes) 1540201936.666 * * [misc]simplify: iters left: 5 (16 enodes) 1540201936.668 * * [misc]simplify: iters left: 4 (19 enodes) 1540201936.670 * * [misc]simplify: iters left: 3 (21 enodes) 1540201936.672 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540201936.672 * [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)))))) 1540201936.673 * * * * [misc]progress: [ 120 / 6878 ] simplifiying candidate # 1540201936.673 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540201936.673 * * [misc]simplify: iters left: 6 (14 enodes) 1540201936.675 * * [misc]simplify: iters left: 5 (23 enodes) 1540201936.678 * * [misc]simplify: iters left: 4 (30 enodes) 1540201936.682 * * [misc]simplify: iters left: 3 (45 enodes) 1540201936.688 * * [misc]simplify: iters left: 2 (60 enodes) 1540201936.696 * * [misc]simplify: iters left: 1 (74 enodes) 1540201936.708 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201936.708 * [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)))))) 1540201936.709 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201936.709 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.711 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.713 * * [misc]simplify: iters left: 4 (24 enodes) 1540201936.716 * * [misc]simplify: iters left: 3 (26 enodes) 1540201936.719 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201936.719 * [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)))))) 1540201936.719 * * * * [misc]progress: [ 121 / 6878 ] simplifiying candidate # 1540201936.720 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.720 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.721 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.724 * * [misc]simplify: iters left: 4 (25 enodes) 1540201936.727 * * [misc]simplify: iters left: 3 (34 enodes) 1540201936.731 * * [misc]simplify: iters left: 2 (37 enodes) 1540201936.736 * * [misc]simplify: iters left: 1 (40 enodes) 1540201936.741 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) 1540201936.741 * [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)))))) 1540201936.741 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201936.742 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.746 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.751 * * [misc]simplify: iters left: 4 (24 enodes) 1540201936.756 * * [misc]simplify: iters left: 3 (26 enodes) 1540201936.763 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201936.763 * [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)))))) 1540201936.763 * * * * [misc]progress: [ 122 / 6878 ] simplifiying candidate # 1540201936.763 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1540201936.763 * * [misc]simplify: iters left: 4 (6 enodes) 1540201936.765 * * [misc]simplify: iters left: 3 (9 enodes) 1540201936.767 * [exit]simplify: Simplified to (sqrt PI) 1540201936.767 * [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)))))) 1540201936.767 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201936.767 * * [misc]simplify: iters left: 6 (14 enodes) 1540201936.771 * * [misc]simplify: iters left: 5 (19 enodes) 1540201936.777 * * [misc]simplify: iters left: 4 (23 enodes) 1540201936.782 * * [misc]simplify: iters left: 3 (25 enodes) 1540201936.788 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201936.788 * [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)))))) 1540201936.788 * * * * [misc]progress: [ 123 / 6878 ] simplifiying candidate # 1540201936.788 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1540201936.789 * * [misc]simplify: iters left: 3 (5 enodes) 1540201936.789 * * [misc]simplify: iters left: 2 (8 enodes) 1540201936.791 * * [misc]simplify: iters left: 1 (10 enodes) 1540201936.791 * [exit]simplify: Simplified to (sqrt PI) 1540201936.791 * [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)))))) 1540201936.792 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201936.792 * * [misc]simplify: iters left: 6 (14 enodes) 1540201936.794 * * [misc]simplify: iters left: 5 (19 enodes) 1540201936.796 * * [misc]simplify: iters left: 4 (23 enodes) 1540201936.799 * * [misc]simplify: iters left: 3 (25 enodes) 1540201936.802 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201936.802 * [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)))))) 1540201936.802 * * * * [misc]progress: [ 124 / 6878 ] simplifiying candidate # 1540201936.802 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (sqrt k))) 1540201936.802 * * [misc]simplify: iters left: 4 (7 enodes) 1540201936.803 * * [misc]simplify: iters left: 3 (8 enodes) 1540201936.804 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540201936.804 * [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)))))) 1540201936.804 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201936.804 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.806 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.808 * * [misc]simplify: iters left: 4 (24 enodes) 1540201936.812 * * [misc]simplify: iters left: 3 (34 enodes) 1540201936.816 * * [misc]simplify: iters left: 2 (36 enodes) 1540201936.819 * * [misc]simplify: iters left: 1 (41 enodes) 1540201936.823 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540201936.824 * [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)))))) 1540201936.824 * * * * [misc]progress: [ 125 / 6878 ] simplifiying candidate # 1540201936.824 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1540201936.824 * * [misc]simplify: iters left: 6 (10 enodes) 1540201936.825 * * [misc]simplify: iters left: 5 (14 enodes) 1540201936.828 * * [misc]simplify: iters left: 4 (17 enodes) 1540201936.830 * * [misc]simplify: iters left: 3 (19 enodes) 1540201936.832 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540201936.832 * [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)))))) 1540201936.832 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1540201936.832 * * [misc]simplify: iters left: 6 (9 enodes) 1540201936.834 * * [misc]simplify: iters left: 5 (11 enodes) 1540201936.835 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1540201936.835 * [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)))))) 1540201936.835 * * * * [misc]progress: [ 126 / 6878 ] simplifiying candidate # 1540201936.836 * [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))))))) 1540201936.836 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.838 * * [misc]simplify: iters left: 5 (20 enodes) 1540201936.840 * * [misc]simplify: iters left: 4 (23 enodes) 1540201936.844 * [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)))))) 1540201936.844 * [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)))))) 1540201936.844 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201936.844 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.846 * * [misc]simplify: iters left: 5 (18 enodes) 1540201936.848 * * [misc]simplify: iters left: 4 (19 enodes) 1540201936.851 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201936.851 * [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)))))) 1540201936.851 * * * * [misc]progress: [ 127 / 6878 ] simplifiying candidate # 1540201936.851 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201936.851 * * [misc]simplify: iters left: 6 (14 enodes) 1540201936.853 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.855 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.858 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201936.858 * [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)))))) 1540201936.859 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201936.859 * * [misc]simplify: iters left: 6 (15 enodes) 1540201936.861 * * [misc]simplify: iters left: 5 (18 enodes) 1540201936.863 * * [misc]simplify: iters left: 4 (19 enodes) 1540201936.865 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201936.865 * [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)))))) 1540201936.866 * * * * [misc]progress: [ 128 / 6878 ] simplifiying candidate # 1540201936.866 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540201936.866 * * [misc]simplify: iters left: 6 (12 enodes) 1540201936.867 * * [misc]simplify: iters left: 5 (18 enodes) 1540201936.870 * * [misc]simplify: iters left: 4 (25 enodes) 1540201936.875 * * [misc]simplify: iters left: 3 (37 enodes) 1540201936.884 * * [misc]simplify: iters left: 2 (42 enodes) 1540201936.894 * * [misc]simplify: iters left: 1 (49 enodes) 1540201936.905 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540201936.905 * [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)))))) 1540201936.906 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201936.906 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.910 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.914 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.919 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.926 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201936.926 * [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)))))) 1540201936.926 * * * * [misc]progress: [ 129 / 6878 ] simplifiying candidate # 1540201936.926 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540201936.926 * * [misc]simplify: iters left: 6 (12 enodes) 1540201936.930 * * [misc]simplify: iters left: 5 (18 enodes) 1540201936.935 * * [misc]simplify: iters left: 4 (25 enodes) 1540201936.942 * * [misc]simplify: iters left: 3 (37 enodes) 1540201936.951 * * [misc]simplify: iters left: 2 (42 enodes) 1540201936.961 * * [misc]simplify: iters left: 1 (49 enodes) 1540201936.970 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540201936.970 * [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)))))) 1540201936.971 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201936.971 * * [misc]simplify: iters left: 6 (13 enodes) 1540201936.972 * * [misc]simplify: iters left: 5 (17 enodes) 1540201936.975 * * [misc]simplify: iters left: 4 (20 enodes) 1540201936.977 * * [misc]simplify: iters left: 3 (22 enodes) 1540201936.980 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201936.980 * [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)))))) 1540201936.980 * * * * [misc]progress: [ 130 / 6878 ] simplifiying candidate # 1540201936.980 * [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))))))) 1540201936.980 * * [misc]simplify: iters left: 6 (17 enodes) 1540201936.983 * * [misc]simplify: iters left: 5 (28 enodes) 1540201936.987 * * [misc]simplify: iters left: 4 (49 enodes) 1540201936.994 * * [misc]simplify: iters left: 3 (72 enodes) 1540201937.010 * * [misc]simplify: iters left: 2 (102 enodes) 1540201937.036 * * [misc]simplify: iters left: 1 (125 enodes) 1540201937.057 * [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))))) 1540201937.057 * [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)))))) 1540201937.057 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201937.057 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.059 * * [misc]simplify: iters left: 5 (21 enodes) 1540201937.062 * * [misc]simplify: iters left: 4 (25 enodes) 1540201937.067 * * [misc]simplify: iters left: 3 (27 enodes) 1540201937.075 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201937.075 * [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)))))) 1540201937.075 * * * * [misc]progress: [ 131 / 6878 ] simplifiying candidate # 1540201937.075 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.075 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.080 * * [misc]simplify: iters left: 5 (23 enodes) 1540201937.087 * * [misc]simplify: iters left: 4 (33 enodes) 1540201937.096 * * [misc]simplify: iters left: 3 (45 enodes) 1540201937.108 * * [misc]simplify: iters left: 2 (50 enodes) 1540201937.119 * * [misc]simplify: iters left: 1 (57 enodes) 1540201937.134 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540201937.134 * [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)))))) 1540201937.135 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.135 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.139 * * [misc]simplify: iters left: 5 (21 enodes) 1540201937.145 * * [misc]simplify: iters left: 4 (25 enodes) 1540201937.151 * * [misc]simplify: iters left: 3 (27 enodes) 1540201937.158 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201937.158 * [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)))))) 1540201937.158 * * * * [misc]progress: [ 132 / 6878 ] simplifiying candidate # 1540201937.159 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540201937.159 * * [misc]simplify: iters left: 6 (11 enodes) 1540201937.162 * * [misc]simplify: iters left: 5 (18 enodes) 1540201937.168 * * [misc]simplify: iters left: 4 (29 enodes) 1540201937.175 * * [misc]simplify: iters left: 3 (34 enodes) 1540201937.181 * * [misc]simplify: iters left: 2 (49 enodes) 1540201937.194 * * [misc]simplify: iters left: 1 (63 enodes) 1540201937.210 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201937.210 * [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)))))) 1540201937.210 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201937.211 * * [misc]simplify: iters left: 6 (15 enodes) 1540201937.215 * * [misc]simplify: iters left: 5 (20 enodes) 1540201937.220 * * [misc]simplify: iters left: 4 (24 enodes) 1540201937.226 * * [misc]simplify: iters left: 3 (26 enodes) 1540201937.232 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) 1540201937.232 * [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)))))) 1540201937.232 * * * * [misc]progress: [ 133 / 6878 ] simplifiying candidate # 1540201937.232 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540201937.232 * * [misc]simplify: iters left: 6 (12 enodes) 1540201937.234 * * [misc]simplify: iters left: 5 (17 enodes) 1540201937.236 * * [misc]simplify: iters left: 4 (20 enodes) 1540201937.239 * * [misc]simplify: iters left: 3 (22 enodes) 1540201937.241 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540201937.241 * [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)))))) 1540201937.242 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201937.242 * * [misc]simplify: iters left: 6 (13 enodes) 1540201937.243 * * [misc]simplify: iters left: 5 (17 enodes) 1540201937.246 * * [misc]simplify: iters left: 4 (20 enodes) 1540201937.248 * * [misc]simplify: iters left: 3 (22 enodes) 1540201937.252 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540201937.252 * [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)))))) 1540201937.252 * * * * [misc]progress: [ 134 / 6878 ] simplifiying candidate # 1540201937.252 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540201937.252 * * [misc]simplify: iters left: 6 (12 enodes) 1540201937.254 * * [misc]simplify: iters left: 5 (17 enodes) 1540201937.256 * * [misc]simplify: iters left: 4 (20 enodes) 1540201937.259 * * [misc]simplify: iters left: 3 (22 enodes) 1540201937.261 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540201937.261 * [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)))))) 1540201937.262 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201937.262 * * [misc]simplify: iters left: 6 (13 enodes) 1540201937.264 * * [misc]simplify: iters left: 5 (17 enodes) 1540201937.266 * * [misc]simplify: iters left: 4 (20 enodes) 1540201937.269 * * [misc]simplify: iters left: 3 (22 enodes) 1540201937.272 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540201937.272 * [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)))))) 1540201937.272 * * * * [misc]progress: [ 135 / 6878 ] simplifiying candidate # 1540201937.272 * [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))))))) 1540201937.272 * * [misc]simplify: iters left: 6 (17 enodes) 1540201937.274 * * [misc]simplify: iters left: 5 (25 enodes) 1540201937.278 * * [misc]simplify: iters left: 4 (33 enodes) 1540201937.282 * * [misc]simplify: iters left: 3 (42 enodes) 1540201937.288 * * [misc]simplify: iters left: 2 (50 enodes) 1540201937.294 * * [misc]simplify: iters left: 1 (52 enodes) 1540201937.301 * [exit]simplify: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201937.301 * [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)))))) 1540201937.302 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201937.302 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.306 * * [misc]simplify: iters left: 5 (21 enodes) 1540201937.312 * * [misc]simplify: iters left: 4 (25 enodes) 1540201937.319 * * [misc]simplify: iters left: 3 (27 enodes) 1540201937.326 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201937.326 * [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)))))) 1540201937.327 * * * * [misc]progress: [ 136 / 6878 ] simplifiying candidate # 1540201937.327 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.327 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.332 * * [misc]simplify: iters left: 5 (22 enodes) 1540201937.338 * * [misc]simplify: iters left: 4 (28 enodes) 1540201937.345 * * [misc]simplify: iters left: 3 (30 enodes) 1540201937.354 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201937.354 * [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)))))) 1540201937.354 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.354 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.359 * * [misc]simplify: iters left: 5 (21 enodes) 1540201937.362 * * [misc]simplify: iters left: 4 (25 enodes) 1540201937.365 * * [misc]simplify: iters left: 3 (27 enodes) 1540201937.368 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201937.369 * [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)))))) 1540201937.369 * * * * [misc]progress: [ 137 / 6878 ] simplifiying candidate # 1540201937.369 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540201937.369 * * [misc]simplify: iters left: 6 (11 enodes) 1540201937.371 * * [misc]simplify: iters left: 5 (16 enodes) 1540201937.373 * * [misc]simplify: iters left: 4 (20 enodes) 1540201937.375 * * [misc]simplify: iters left: 3 (24 enodes) 1540201937.378 * * [misc]simplify: iters left: 2 (26 enodes) 1540201937.381 * * [misc]simplify: iters left: 1 (29 enodes) 1540201937.384 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540201937.384 * [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)))))) 1540201937.384 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201937.385 * * [misc]simplify: iters left: 6 (15 enodes) 1540201937.387 * * [misc]simplify: iters left: 5 (20 enodes) 1540201937.390 * * [misc]simplify: iters left: 4 (24 enodes) 1540201937.393 * * [misc]simplify: iters left: 3 (26 enodes) 1540201937.396 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) 1540201937.396 * [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)))))) 1540201937.396 * * * * [misc]progress: [ 138 / 6878 ] simplifiying candidate # 1540201937.396 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201937.396 * * [misc]simplify: iters left: 6 (11 enodes) 1540201937.398 * * [misc]simplify: iters left: 5 (15 enodes) 1540201937.400 * * [misc]simplify: iters left: 4 (18 enodes) 1540201937.403 * * [misc]simplify: iters left: 3 (20 enodes) 1540201937.405 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540201937.405 * [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)))))) 1540201937.405 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201937.405 * * [misc]simplify: iters left: 6 (13 enodes) 1540201937.407 * * [misc]simplify: iters left: 5 (17 enodes) 1540201937.410 * * [misc]simplify: iters left: 4 (20 enodes) 1540201937.412 * * [misc]simplify: iters left: 3 (22 enodes) 1540201937.415 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540201937.415 * [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)))))) 1540201937.415 * * * * [misc]progress: [ 139 / 6878 ] simplifiying candidate # 1540201937.415 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201937.415 * * [misc]simplify: iters left: 6 (11 enodes) 1540201937.417 * * [misc]simplify: iters left: 5 (15 enodes) 1540201937.419 * * [misc]simplify: iters left: 4 (18 enodes) 1540201937.421 * * [misc]simplify: iters left: 3 (20 enodes) 1540201937.423 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540201937.423 * [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)))))) 1540201937.424 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201937.424 * * [misc]simplify: iters left: 6 (13 enodes) 1540201937.425 * * [misc]simplify: iters left: 5 (17 enodes) 1540201937.428 * * [misc]simplify: iters left: 4 (20 enodes) 1540201937.431 * * [misc]simplify: iters left: 3 (22 enodes) 1540201937.437 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540201937.437 * [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)))))) 1540201937.437 * * * * [misc]progress: [ 140 / 6878 ] simplifiying candidate # 1540201937.437 * [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))))))) 1540201937.438 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.442 * * [misc]simplify: iters left: 5 (23 enodes) 1540201937.449 * * [misc]simplify: iters left: 4 (31 enodes) 1540201937.454 * * [misc]simplify: iters left: 3 (40 enodes) 1540201937.460 * * [misc]simplify: iters left: 2 (48 enodes) 1540201937.465 * * [misc]simplify: iters left: 1 (50 enodes) 1540201937.472 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540201937.472 * [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)))))) 1540201937.472 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201937.472 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.474 * * [misc]simplify: iters left: 5 (21 enodes) 1540201937.477 * * [misc]simplify: iters left: 4 (25 enodes) 1540201937.481 * * [misc]simplify: iters left: 3 (27 enodes) 1540201937.484 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201937.484 * [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)))))) 1540201937.484 * * * * [misc]progress: [ 141 / 6878 ] simplifiying candidate # 1540201937.484 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.485 * * [misc]simplify: iters left: 6 (15 enodes) 1540201937.487 * * [misc]simplify: iters left: 5 (20 enodes) 1540201937.489 * * [misc]simplify: iters left: 4 (26 enodes) 1540201937.492 * * [misc]simplify: iters left: 3 (28 enodes) 1540201937.496 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540201937.496 * [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)))))) 1540201937.496 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.497 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.501 * * [misc]simplify: iters left: 5 (21 enodes) 1540201937.507 * * [misc]simplify: iters left: 4 (25 enodes) 1540201937.513 * * [misc]simplify: iters left: 3 (27 enodes) 1540201937.520 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201937.520 * [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)))))) 1540201937.521 * * * * [misc]progress: [ 142 / 6878 ] simplifiying candidate # 1540201937.521 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201937.522 * * [misc]simplify: iters left: 6 (10 enodes) 1540201937.525 * * [misc]simplify: iters left: 5 (15 enodes) 1540201937.529 * * [misc]simplify: iters left: 4 (22 enodes) 1540201937.534 * * [misc]simplify: iters left: 3 (24 enodes) 1540201937.539 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540201937.539 * [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)))))) 1540201937.540 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201937.540 * * [misc]simplify: iters left: 6 (15 enodes) 1540201937.544 * * [misc]simplify: iters left: 5 (20 enodes) 1540201937.550 * * [misc]simplify: iters left: 4 (24 enodes) 1540201937.556 * * [misc]simplify: iters left: 3 (26 enodes) 1540201937.563 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) 1540201937.563 * [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)))))) 1540201937.564 * * * * [misc]progress: [ 143 / 6878 ] simplifiying candidate # 1540201937.564 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1540201937.564 * * [misc]simplify: iters left: 5 (9 enodes) 1540201937.567 * * [misc]simplify: iters left: 4 (15 enodes) 1540201937.571 * * [misc]simplify: iters left: 3 (17 enodes) 1540201937.576 * * [misc]simplify: iters left: 2 (25 enodes) 1540201937.583 * * [misc]simplify: iters left: 1 (35 enodes) 1540201937.590 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540201937.590 * [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)))))) 1540201937.590 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201937.590 * * [misc]simplify: iters left: 6 (12 enodes) 1540201937.594 * * [misc]simplify: iters left: 5 (16 enodes) 1540201937.598 * * [misc]simplify: iters left: 4 (19 enodes) 1540201937.603 * * [misc]simplify: iters left: 3 (21 enodes) 1540201937.609 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540201937.609 * [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)))))) 1540201937.609 * * * * [misc]progress: [ 144 / 6878 ] simplifiying candidate # 1540201937.609 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1540201937.610 * * [misc]simplify: iters left: 5 (9 enodes) 1540201937.613 * * [misc]simplify: iters left: 4 (15 enodes) 1540201937.616 * * [misc]simplify: iters left: 3 (17 enodes) 1540201937.621 * * [misc]simplify: iters left: 2 (25 enodes) 1540201937.627 * * [misc]simplify: iters left: 1 (35 enodes) 1540201937.634 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540201937.634 * [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)))))) 1540201937.634 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201937.635 * * [misc]simplify: iters left: 6 (12 enodes) 1540201937.638 * * [misc]simplify: iters left: 5 (16 enodes) 1540201937.642 * * [misc]simplify: iters left: 4 (19 enodes) 1540201937.648 * * [misc]simplify: iters left: 3 (21 enodes) 1540201937.653 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540201937.653 * [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)))))) 1540201937.653 * * * * [misc]progress: [ 145 / 6878 ] simplifiying candidate # 1540201937.654 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540201937.654 * * [misc]simplify: iters left: 6 (15 enodes) 1540201937.659 * * [misc]simplify: iters left: 5 (24 enodes) 1540201937.665 * * [misc]simplify: iters left: 4 (32 enodes) 1540201937.671 * * [misc]simplify: iters left: 3 (45 enodes) 1540201937.677 * * [misc]simplify: iters left: 2 (70 enodes) 1540201937.688 * * [misc]simplify: iters left: 1 (96 enodes) 1540201937.707 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540201937.707 * [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)))))) 1540201937.707 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201937.707 * * [misc]simplify: iters left: 6 (15 enodes) 1540201937.712 * * [misc]simplify: iters left: 5 (20 enodes) 1540201937.717 * * [misc]simplify: iters left: 4 (24 enodes) 1540201937.723 * * [misc]simplify: iters left: 3 (26 enodes) 1540201937.730 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201937.730 * [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)))))) 1540201937.730 * * * * [misc]progress: [ 146 / 6878 ] simplifiying candidate # 1540201937.730 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.730 * * [misc]simplify: iters left: 6 (14 enodes) 1540201937.735 * * [misc]simplify: iters left: 5 (21 enodes) 1540201937.740 * * [misc]simplify: iters left: 4 (26 enodes) 1540201937.747 * * [misc]simplify: iters left: 3 (34 enodes) 1540201937.755 * * [misc]simplify: iters left: 2 (44 enodes) 1540201937.762 * * [misc]simplify: iters left: 1 (47 enodes) 1540201937.766 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201937.767 * [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)))))) 1540201937.767 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.767 * * [misc]simplify: iters left: 6 (15 enodes) 1540201937.769 * * [misc]simplify: iters left: 5 (20 enodes) 1540201937.773 * * [misc]simplify: iters left: 4 (24 enodes) 1540201937.775 * * [misc]simplify: iters left: 3 (26 enodes) 1540201937.779 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201937.779 * [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)))))) 1540201937.779 * * * * [misc]progress: [ 147 / 6878 ] simplifiying candidate # 1540201937.779 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) 1)) 1540201937.779 * * [misc]simplify: iters left: 5 (7 enodes) 1540201937.781 * * [misc]simplify: iters left: 4 (12 enodes) 1540201937.782 * [exit]simplify: Simplified to (sqrt PI) 1540201937.782 * [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)))))) 1540201937.782 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201937.782 * * [misc]simplify: iters left: 6 (14 enodes) 1540201937.784 * * [misc]simplify: iters left: 5 (19 enodes) 1540201937.787 * * [misc]simplify: iters left: 4 (23 enodes) 1540201937.793 * * [misc]simplify: iters left: 3 (25 enodes) 1540201937.799 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201937.799 * [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)))))) 1540201937.799 * * * * [misc]progress: [ 148 / 6878 ] simplifiying candidate # 1540201937.799 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201937.800 * * [misc]simplify: iters left: 6 (11 enodes) 1540201937.803 * * [misc]simplify: iters left: 5 (15 enodes) 1540201937.807 * * [misc]simplify: iters left: 4 (18 enodes) 1540201937.812 * * [misc]simplify: iters left: 3 (20 enodes) 1540201937.816 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540201937.817 * [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)))))) 1540201937.817 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201937.817 * * [misc]simplify: iters left: 6 (13 enodes) 1540201937.821 * * [misc]simplify: iters left: 5 (17 enodes) 1540201937.825 * * [misc]simplify: iters left: 4 (20 enodes) 1540201937.831 * * [misc]simplify: iters left: 3 (22 enodes) 1540201937.836 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540201937.836 * [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)))))) 1540201937.837 * * * * [misc]progress: [ 149 / 6878 ] simplifiying candidate # 1540201937.837 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201937.837 * * [misc]simplify: iters left: 6 (11 enodes) 1540201937.840 * * [misc]simplify: iters left: 5 (15 enodes) 1540201937.844 * * [misc]simplify: iters left: 4 (18 enodes) 1540201937.848 * * [misc]simplify: iters left: 3 (20 enodes) 1540201937.853 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540201937.853 * [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)))))) 1540201937.854 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201937.854 * * [misc]simplify: iters left: 6 (13 enodes) 1540201937.856 * * [misc]simplify: iters left: 5 (17 enodes) 1540201937.859 * * [misc]simplify: iters left: 4 (20 enodes) 1540201937.861 * * [misc]simplify: iters left: 3 (22 enodes) 1540201937.864 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540201937.864 * [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)))))) 1540201937.864 * * * * [misc]progress: [ 150 / 6878 ] simplifiying candidate # 1540201937.864 * [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))))))) 1540201937.864 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.866 * * [misc]simplify: iters left: 5 (23 enodes) 1540201937.869 * * [misc]simplify: iters left: 4 (31 enodes) 1540201937.873 * * [misc]simplify: iters left: 3 (40 enodes) 1540201937.880 * * [misc]simplify: iters left: 2 (48 enodes) 1540201937.887 * * [misc]simplify: iters left: 1 (50 enodes) 1540201937.900 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540201937.900 * [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)))))) 1540201937.900 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201937.901 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.905 * * [misc]simplify: iters left: 5 (21 enodes) 1540201937.911 * * [misc]simplify: iters left: 4 (25 enodes) 1540201937.918 * * [misc]simplify: iters left: 3 (27 enodes) 1540201937.925 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201937.925 * [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)))))) 1540201937.925 * * * * [misc]progress: [ 151 / 6878 ] simplifiying candidate # 1540201937.926 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.926 * * [misc]simplify: iters left: 6 (15 enodes) 1540201937.930 * * [misc]simplify: iters left: 5 (20 enodes) 1540201937.936 * * [misc]simplify: iters left: 4 (26 enodes) 1540201937.942 * * [misc]simplify: iters left: 3 (28 enodes) 1540201937.949 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540201937.949 * [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)))))) 1540201937.950 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201937.950 * * [misc]simplify: iters left: 6 (16 enodes) 1540201937.955 * * [misc]simplify: iters left: 5 (21 enodes) 1540201937.958 * * [misc]simplify: iters left: 4 (25 enodes) 1540201937.961 * * [misc]simplify: iters left: 3 (27 enodes) 1540201937.964 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201937.964 * [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)))))) 1540201937.964 * * * * [misc]progress: [ 152 / 6878 ] simplifiying candidate # 1540201937.964 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201937.964 * * [misc]simplify: iters left: 6 (10 enodes) 1540201937.966 * * [misc]simplify: iters left: 5 (15 enodes) 1540201937.968 * * [misc]simplify: iters left: 4 (22 enodes) 1540201937.971 * * [misc]simplify: iters left: 3 (24 enodes) 1540201937.973 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540201937.973 * [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)))))) 1540201937.973 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201937.973 * * [misc]simplify: iters left: 6 (15 enodes) 1540201937.975 * * [misc]simplify: iters left: 5 (20 enodes) 1540201937.978 * * [misc]simplify: iters left: 4 (24 enodes) 1540201937.981 * * [misc]simplify: iters left: 3 (26 enodes) 1540201937.984 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) 1540201937.984 * [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)))))) 1540201937.985 * * * * [misc]progress: [ 153 / 6878 ] simplifiying candidate # 1540201937.986 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1540201937.986 * * [misc]simplify: iters left: 5 (8 enodes) 1540201937.988 * * [misc]simplify: iters left: 4 (14 enodes) 1540201937.991 * * [misc]simplify: iters left: 3 (16 enodes) 1540201937.996 * * [misc]simplify: iters left: 2 (25 enodes) 1540201938.002 * * [misc]simplify: iters left: 1 (28 enodes) 1540201938.009 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540201938.009 * [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)))))) 1540201938.010 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201938.010 * * [misc]simplify: iters left: 6 (12 enodes) 1540201938.013 * * [misc]simplify: iters left: 5 (16 enodes) 1540201938.018 * * [misc]simplify: iters left: 4 (19 enodes) 1540201938.023 * * [misc]simplify: iters left: 3 (21 enodes) 1540201938.029 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540201938.029 * [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)))))) 1540201938.029 * * * * [misc]progress: [ 154 / 6878 ] simplifiying candidate # 1540201938.029 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1540201938.029 * * [misc]simplify: iters left: 5 (8 enodes) 1540201938.032 * * [misc]simplify: iters left: 4 (14 enodes) 1540201938.036 * * [misc]simplify: iters left: 3 (16 enodes) 1540201938.041 * * [misc]simplify: iters left: 2 (25 enodes) 1540201938.047 * * [misc]simplify: iters left: 1 (28 enodes) 1540201938.053 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540201938.053 * [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)))))) 1540201938.053 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201938.053 * * [misc]simplify: iters left: 6 (12 enodes) 1540201938.057 * * [misc]simplify: iters left: 5 (16 enodes) 1540201938.062 * * [misc]simplify: iters left: 4 (19 enodes) 1540201938.067 * * [misc]simplify: iters left: 3 (21 enodes) 1540201938.072 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540201938.072 * [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)))))) 1540201938.072 * * * * [misc]progress: [ 155 / 6878 ] simplifiying candidate # 1540201938.072 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540201938.073 * * [misc]simplify: iters left: 6 (14 enodes) 1540201938.077 * * [misc]simplify: iters left: 5 (23 enodes) 1540201938.083 * * [misc]simplify: iters left: 4 (30 enodes) 1540201938.091 * * [misc]simplify: iters left: 3 (45 enodes) 1540201938.103 * * [misc]simplify: iters left: 2 (60 enodes) 1540201938.116 * * [misc]simplify: iters left: 1 (74 enodes) 1540201938.129 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201938.129 * [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)))))) 1540201938.129 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201938.129 * * [misc]simplify: iters left: 6 (15 enodes) 1540201938.131 * * [misc]simplify: iters left: 5 (20 enodes) 1540201938.134 * * [misc]simplify: iters left: 4 (24 enodes) 1540201938.136 * * [misc]simplify: iters left: 3 (26 enodes) 1540201938.140 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201938.140 * [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)))))) 1540201938.140 * * * * [misc]progress: [ 156 / 6878 ] simplifiying candidate # 1540201938.140 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201938.141 * * [misc]simplify: iters left: 6 (13 enodes) 1540201938.144 * * [misc]simplify: iters left: 5 (20 enodes) 1540201938.150 * * [misc]simplify: iters left: 4 (25 enodes) 1540201938.157 * * [misc]simplify: iters left: 3 (34 enodes) 1540201938.165 * * [misc]simplify: iters left: 2 (37 enodes) 1540201938.172 * * [misc]simplify: iters left: 1 (40 enodes) 1540201938.177 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) 1540201938.177 * [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)))))) 1540201938.177 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201938.177 * * [misc]simplify: iters left: 6 (15 enodes) 1540201938.179 * * [misc]simplify: iters left: 5 (20 enodes) 1540201938.182 * * [misc]simplify: iters left: 4 (24 enodes) 1540201938.185 * * [misc]simplify: iters left: 3 (26 enodes) 1540201938.188 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540201938.188 * [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)))))) 1540201938.188 * * * * [misc]progress: [ 157 / 6878 ] simplifiying candidate # 1540201938.188 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1540201938.188 * * [misc]simplify: iters left: 4 (6 enodes) 1540201938.189 * * [misc]simplify: iters left: 3 (9 enodes) 1540201938.190 * [exit]simplify: Simplified to (sqrt PI) 1540201938.190 * [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)))))) 1540201938.190 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201938.190 * * [misc]simplify: iters left: 6 (14 enodes) 1540201938.192 * * [misc]simplify: iters left: 5 (19 enodes) 1540201938.195 * * [misc]simplify: iters left: 4 (23 enodes) 1540201938.198 * * [misc]simplify: iters left: 3 (25 enodes) 1540201938.203 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201938.203 * [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)))))) 1540201938.203 * * * * [misc]progress: [ 158 / 6878 ] simplifiying candidate # 1540201938.204 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1540201938.204 * * [misc]simplify: iters left: 3 (5 enodes) 1540201938.205 * * [misc]simplify: iters left: 2 (8 enodes) 1540201938.207 * * [misc]simplify: iters left: 1 (10 enodes) 1540201938.209 * [exit]simplify: Simplified to (sqrt PI) 1540201938.209 * [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)))))) 1540201938.210 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201938.210 * * [misc]simplify: iters left: 6 (14 enodes) 1540201938.214 * * [misc]simplify: iters left: 5 (19 enodes) 1540201938.220 * * [misc]simplify: iters left: 4 (23 enodes) 1540201938.226 * * [misc]simplify: iters left: 3 (25 enodes) 1540201938.233 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201938.233 * [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)))))) 1540201938.233 * * * * [misc]progress: [ 159 / 6878 ] simplifiying candidate # 1540201938.233 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (sqrt k))) 1540201938.233 * * [misc]simplify: iters left: 4 (7 enodes) 1540201938.235 * * [misc]simplify: iters left: 3 (8 enodes) 1540201938.238 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540201938.238 * [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)))))) 1540201938.238 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201938.238 * * [misc]simplify: iters left: 6 (13 enodes) 1540201938.242 * * [misc]simplify: iters left: 5 (20 enodes) 1540201938.247 * * [misc]simplify: iters left: 4 (24 enodes) 1540201938.254 * * [misc]simplify: iters left: 3 (34 enodes) 1540201938.262 * * [misc]simplify: iters left: 2 (36 enodes) 1540201938.268 * * [misc]simplify: iters left: 1 (41 enodes) 1540201938.277 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540201938.277 * [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)))))) 1540201938.277 * * * * [misc]progress: [ 160 / 6878 ] simplifiying candidate # 1540201938.278 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1540201938.278 * * [misc]simplify: iters left: 6 (10 enodes) 1540201938.281 * * [misc]simplify: iters left: 5 (14 enodes) 1540201938.284 * * [misc]simplify: iters left: 4 (17 enodes) 1540201938.288 * * [misc]simplify: iters left: 3 (19 enodes) 1540201938.293 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540201938.293 * [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)))))) 1540201938.293 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1540201938.293 * * [misc]simplify: iters left: 6 (9 enodes) 1540201938.296 * * [misc]simplify: iters left: 5 (11 enodes) 1540201938.299 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1540201938.299 * [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)))))) 1540201938.299 * * * * [misc]progress: [ 161 / 6878 ] simplifiying candidate # 1540201938.299 * [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))))))) 1540201938.299 * * [misc]simplify: iters left: 6 (17 enodes) 1540201938.304 * * [misc]simplify: iters left: 5 (25 enodes) 1540201938.311 * * [misc]simplify: iters left: 4 (37 enodes) 1540201938.321 * * [misc]simplify: iters left: 3 (40 enodes) 1540201938.331 * * [misc]simplify: iters left: 2 (43 enodes) 1540201938.339 * [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))))))) 1540201938.339 * [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)))))) 1540201938.339 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201938.339 * * [misc]simplify: iters left: 6 (15 enodes) 1540201938.341 * * [misc]simplify: iters left: 5 (17 enodes) 1540201938.343 * * [misc]simplify: iters left: 4 (20 enodes) 1540201938.346 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201938.346 * [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)))))) 1540201938.346 * * * * [misc]progress: [ 162 / 6878 ] simplifiying candidate # 1540201938.346 * [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)))))) 1540201938.346 * * [misc]simplify: iters left: 6 (16 enodes) 1540201938.349 * * [misc]simplify: iters left: 5 (20 enodes) 1540201938.352 * * [misc]simplify: iters left: 4 (25 enodes) 1540201938.355 * * [misc]simplify: iters left: 3 (26 enodes) 1540201938.359 * [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)))))) 1540201938.359 * [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)))))) 1540201938.359 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201938.359 * * [misc]simplify: iters left: 6 (15 enodes) 1540201938.361 * * [misc]simplify: iters left: 5 (17 enodes) 1540201938.363 * * [misc]simplify: iters left: 4 (20 enodes) 1540201938.369 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201938.369 * [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)))))) 1540201938.369 * * * * [misc]progress: [ 163 / 6878 ] simplifiying candidate # 1540201938.369 * [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))) 1540201938.370 * * [misc]simplify: iters left: 6 (17 enodes) 1540201938.375 * * [misc]simplify: iters left: 5 (26 enodes) 1540201938.382 * * [misc]simplify: iters left: 4 (44 enodes) 1540201938.396 * * [misc]simplify: iters left: 3 (85 enodes) 1540201938.425 * * [misc]simplify: iters left: 2 (134 enodes) 1540201938.476 * * [misc]simplify: iters left: 1 (163 enodes) 1540201938.515 * [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))))) 1540201938.515 * [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)))))) 1540201938.515 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201938.516 * * [misc]simplify: iters left: 6 (16 enodes) 1540201938.518 * * [misc]simplify: iters left: 5 (21 enodes) 1540201938.520 * * [misc]simplify: iters left: 4 (25 enodes) 1540201938.524 * * [misc]simplify: iters left: 3 (27 enodes) 1540201938.530 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201938.530 * [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)))))) 1540201938.530 * * * * [misc]progress: [ 164 / 6878 ] simplifiying candidate # 1540201938.530 * [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))) 1540201938.531 * * [misc]simplify: iters left: 6 (17 enodes) 1540201938.535 * * [misc]simplify: iters left: 5 (26 enodes) 1540201938.543 * * [misc]simplify: iters left: 4 (44 enodes) 1540201938.556 * * [misc]simplify: iters left: 3 (85 enodes) 1540201938.586 * * [misc]simplify: iters left: 2 (134 enodes) 1540201938.626 * * [misc]simplify: iters left: 1 (163 enodes) 1540201938.672 * [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))))) 1540201938.672 * [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)))))) 1540201938.673 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201938.673 * * [misc]simplify: iters left: 6 (16 enodes) 1540201938.677 * * [misc]simplify: iters left: 5 (21 enodes) 1540201938.683 * * [misc]simplify: iters left: 4 (25 enodes) 1540201938.690 * * [misc]simplify: iters left: 3 (27 enodes) 1540201938.697 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201938.697 * [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)))))) 1540201938.697 * * * * [misc]progress: [ 165 / 6878 ] simplifiying candidate # 1540201938.698 * [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))))))) 1540201938.698 * * [misc]simplify: iters left: 6 (19 enodes) 1540201938.704 * * [misc]simplify: iters left: 5 (31 enodes) 1540201938.714 * * [misc]simplify: iters left: 4 (65 enodes) 1540201938.736 * * [misc]simplify: iters left: 3 (136 enodes) 1540201938.776 * * [misc]simplify: iters left: 2 (267 enodes) 1540201938.876 * * [misc]simplify: iters left: 1 (386 enodes) 1540201939.070 * [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)))))) 1540201939.070 * [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)))))) 1540201939.071 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201939.071 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.075 * * [misc]simplify: iters left: 5 (20 enodes) 1540201939.081 * * [misc]simplify: iters left: 4 (26 enodes) 1540201939.088 * * [misc]simplify: iters left: 3 (28 enodes) 1540201939.096 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201939.096 * [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)))))) 1540201939.096 * * * * [misc]progress: [ 166 / 6878 ] simplifiying candidate # 1540201939.097 * [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)))))) 1540201939.097 * * [misc]simplify: iters left: 6 (18 enodes) 1540201939.102 * * [misc]simplify: iters left: 5 (26 enodes) 1540201939.110 * * [misc]simplify: iters left: 4 (44 enodes) 1540201939.124 * * [misc]simplify: iters left: 3 (85 enodes) 1540201939.154 * * [misc]simplify: iters left: 2 (134 enodes) 1540201939.189 * * [misc]simplify: iters left: 1 (163 enodes) 1540201939.230 * [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)))))) 1540201939.230 * [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)))))) 1540201939.230 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201939.230 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.232 * * [misc]simplify: iters left: 5 (20 enodes) 1540201939.235 * * [misc]simplify: iters left: 4 (26 enodes) 1540201939.238 * * [misc]simplify: iters left: 3 (28 enodes) 1540201939.242 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201939.242 * [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)))))) 1540201939.242 * * * * [misc]progress: [ 167 / 6878 ] simplifiying candidate # 1540201939.242 * [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)) 1540201939.242 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.245 * * [misc]simplify: iters left: 5 (26 enodes) 1540201939.250 * * [misc]simplify: iters left: 4 (47 enodes) 1540201939.264 * * [misc]simplify: iters left: 3 (90 enodes) 1540201939.284 * * [misc]simplify: iters left: 2 (271 enodes) 1540201939.461 * [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))))) 1540201939.461 * [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)))))) 1540201939.462 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201939.462 * * [misc]simplify: iters left: 6 (15 enodes) 1540201939.466 * * [misc]simplify: iters left: 5 (19 enodes) 1540201939.472 * * [misc]simplify: iters left: 4 (25 enodes) 1540201939.478 * * [misc]simplify: iters left: 3 (27 enodes) 1540201939.485 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201939.485 * [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)))))) 1540201939.485 * * * * [misc]progress: [ 168 / 6878 ] simplifiying candidate # 1540201939.486 * [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))) 1540201939.486 * * [misc]simplify: iters left: 6 (17 enodes) 1540201939.491 * * [misc]simplify: iters left: 5 (25 enodes) 1540201939.494 * * [misc]simplify: iters left: 4 (35 enodes) 1540201939.499 * * [misc]simplify: iters left: 3 (47 enodes) 1540201939.505 * * [misc]simplify: iters left: 2 (59 enodes) 1540201939.512 * * [misc]simplify: iters left: 1 (65 enodes) 1540201939.522 * [exit]simplify: Simplified to (/ (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540201939.522 * [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)))))) 1540201939.523 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201939.523 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.527 * * [misc]simplify: iters left: 5 (21 enodes) 1540201939.533 * * [misc]simplify: iters left: 4 (25 enodes) 1540201939.541 * * [misc]simplify: iters left: 3 (27 enodes) 1540201939.548 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201939.548 * [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)))))) 1540201939.548 * * * * [misc]progress: [ 169 / 6878 ] simplifiying candidate # 1540201939.549 * [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))) 1540201939.549 * * [misc]simplify: iters left: 6 (17 enodes) 1540201939.553 * * [misc]simplify: iters left: 5 (25 enodes) 1540201939.556 * * [misc]simplify: iters left: 4 (35 enodes) 1540201939.560 * * [misc]simplify: iters left: 3 (47 enodes) 1540201939.566 * * [misc]simplify: iters left: 2 (59 enodes) 1540201939.574 * * [misc]simplify: iters left: 1 (65 enodes) 1540201939.586 * [exit]simplify: Simplified to (/ (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540201939.586 * [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)))))) 1540201939.586 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201939.586 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.591 * * [misc]simplify: iters left: 5 (21 enodes) 1540201939.596 * * [misc]simplify: iters left: 4 (25 enodes) 1540201939.603 * * [misc]simplify: iters left: 3 (27 enodes) 1540201939.610 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201939.610 * [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)))))) 1540201939.610 * * * * [misc]progress: [ 170 / 6878 ] simplifiying candidate # 1540201939.610 * [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))))))) 1540201939.610 * * [misc]simplify: iters left: 6 (19 enodes) 1540201939.614 * * [misc]simplify: iters left: 5 (28 enodes) 1540201939.617 * * [misc]simplify: iters left: 4 (42 enodes) 1540201939.623 * * [misc]simplify: iters left: 3 (68 enodes) 1540201939.634 * * [misc]simplify: iters left: 2 (107 enodes) 1540201939.666 * * [misc]simplify: iters left: 1 (140 enodes) 1540201939.693 * [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)))) 1540201939.693 * [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)))))) 1540201939.693 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201939.694 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.696 * * [misc]simplify: iters left: 5 (20 enodes) 1540201939.699 * * [misc]simplify: iters left: 4 (26 enodes) 1540201939.702 * * [misc]simplify: iters left: 3 (28 enodes) 1540201939.705 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201939.705 * [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)))))) 1540201939.705 * * * * [misc]progress: [ 171 / 6878 ] simplifiying candidate # 1540201939.706 * [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)))))) 1540201939.706 * * [misc]simplify: iters left: 6 (18 enodes) 1540201939.709 * * [misc]simplify: iters left: 5 (25 enodes) 1540201939.716 * * [misc]simplify: iters left: 4 (35 enodes) 1540201939.727 * * [misc]simplify: iters left: 3 (47 enodes) 1540201939.739 * * [misc]simplify: iters left: 2 (59 enodes) 1540201939.749 * * [misc]simplify: iters left: 1 (65 enodes) 1540201939.758 * [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)))))) 1540201939.758 * [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)))))) 1540201939.758 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201939.758 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.760 * * [misc]simplify: iters left: 5 (20 enodes) 1540201939.763 * * [misc]simplify: iters left: 4 (26 enodes) 1540201939.766 * * [misc]simplify: iters left: 3 (28 enodes) 1540201939.770 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201939.770 * [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)))))) 1540201939.770 * * * * [misc]progress: [ 172 / 6878 ] simplifiying candidate # 1540201939.770 * [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)) 1540201939.770 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.772 * * [misc]simplify: iters left: 5 (24 enodes) 1540201939.776 * * [misc]simplify: iters left: 4 (34 enodes) 1540201939.781 * * [misc]simplify: iters left: 3 (49 enodes) 1540201939.787 * * [misc]simplify: iters left: 2 (61 enodes) 1540201939.794 * * [misc]simplify: iters left: 1 (64 enodes) 1540201939.800 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540201939.800 * [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)))))) 1540201939.800 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201939.800 * * [misc]simplify: iters left: 6 (15 enodes) 1540201939.803 * * [misc]simplify: iters left: 5 (19 enodes) 1540201939.806 * * [misc]simplify: iters left: 4 (25 enodes) 1540201939.809 * * [misc]simplify: iters left: 3 (27 enodes) 1540201939.812 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201939.812 * [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)))))) 1540201939.812 * * * * [misc]progress: [ 173 / 6878 ] simplifiying candidate # 1540201939.813 * [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))) 1540201939.813 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.815 * * [misc]simplify: iters left: 5 (23 enodes) 1540201939.821 * * [misc]simplify: iters left: 4 (33 enodes) 1540201939.830 * * [misc]simplify: iters left: 3 (45 enodes) 1540201939.842 * * [misc]simplify: iters left: 2 (57 enodes) 1540201939.852 * * [misc]simplify: iters left: 1 (63 enodes) 1540201939.860 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540201939.860 * [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)))))) 1540201939.861 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201939.861 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.863 * * [misc]simplify: iters left: 5 (21 enodes) 1540201939.865 * * [misc]simplify: iters left: 4 (25 enodes) 1540201939.869 * * [misc]simplify: iters left: 3 (27 enodes) 1540201939.872 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201939.872 * [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)))))) 1540201939.872 * * * * [misc]progress: [ 174 / 6878 ] simplifiying candidate # 1540201939.872 * [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))) 1540201939.872 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.874 * * [misc]simplify: iters left: 5 (23 enodes) 1540201939.878 * * [misc]simplify: iters left: 4 (33 enodes) 1540201939.882 * * [misc]simplify: iters left: 3 (45 enodes) 1540201939.889 * * [misc]simplify: iters left: 2 (57 enodes) 1540201939.896 * * [misc]simplify: iters left: 1 (63 enodes) 1540201939.910 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540201939.910 * [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)))))) 1540201939.910 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201939.910 * * [misc]simplify: iters left: 6 (16 enodes) 1540201939.915 * * [misc]simplify: iters left: 5 (21 enodes) 1540201939.921 * * [misc]simplify: iters left: 4 (25 enodes) 1540201939.927 * * [misc]simplify: iters left: 3 (27 enodes) 1540201939.934 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201939.935 * [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)))))) 1540201939.935 * * * * [misc]progress: [ 175 / 6878 ] simplifiying candidate # 1540201939.935 * [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))))))) 1540201939.935 * * [misc]simplify: iters left: 6 (18 enodes) 1540201939.940 * * [misc]simplify: iters left: 5 (26 enodes) 1540201939.948 * * [misc]simplify: iters left: 4 (40 enodes) 1540201939.959 * * [misc]simplify: iters left: 3 (66 enodes) 1540201939.979 * * [misc]simplify: iters left: 2 (105 enodes) 1540201940.008 * * [misc]simplify: iters left: 1 (136 enodes) 1540201940.029 * [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)))) 1540201940.029 * [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)))))) 1540201940.029 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201940.030 * * [misc]simplify: iters left: 6 (16 enodes) 1540201940.032 * * [misc]simplify: iters left: 5 (20 enodes) 1540201940.035 * * [misc]simplify: iters left: 4 (26 enodes) 1540201940.038 * * [misc]simplify: iters left: 3 (28 enodes) 1540201940.045 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201940.045 * [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)))))) 1540201940.045 * * * * [misc]progress: [ 176 / 6878 ] simplifiying candidate # 1540201940.046 * [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)))))) 1540201940.046 * * [misc]simplify: iters left: 6 (17 enodes) 1540201940.051 * * [misc]simplify: iters left: 5 (23 enodes) 1540201940.057 * * [misc]simplify: iters left: 4 (33 enodes) 1540201940.067 * * [misc]simplify: iters left: 3 (45 enodes) 1540201940.078 * * [misc]simplify: iters left: 2 (57 enodes) 1540201940.094 * * [misc]simplify: iters left: 1 (63 enodes) 1540201940.114 * [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)))))) 1540201940.114 * [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)))))) 1540201940.114 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201940.114 * * [misc]simplify: iters left: 6 (16 enodes) 1540201940.119 * * [misc]simplify: iters left: 5 (20 enodes) 1540201940.124 * * [misc]simplify: iters left: 4 (26 enodes) 1540201940.131 * * [misc]simplify: iters left: 3 (28 enodes) 1540201940.139 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201940.139 * [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)))))) 1540201940.139 * * * * [misc]progress: [ 177 / 6878 ] simplifiying candidate # 1540201940.139 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201940.139 * * [misc]simplify: iters left: 6 (15 enodes) 1540201940.142 * * [misc]simplify: iters left: 5 (23 enodes) 1540201940.146 * * [misc]simplify: iters left: 4 (34 enodes) 1540201940.150 * * [misc]simplify: iters left: 3 (45 enodes) 1540201940.155 * * [misc]simplify: iters left: 2 (46 enodes) 1540201940.159 * * [misc]simplify: iters left: 1 (52 enodes) 1540201940.165 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201940.165 * [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)))))) 1540201940.166 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201940.166 * * [misc]simplify: iters left: 6 (15 enodes) 1540201940.168 * * [misc]simplify: iters left: 5 (19 enodes) 1540201940.174 * * [misc]simplify: iters left: 4 (25 enodes) 1540201940.181 * * [misc]simplify: iters left: 3 (27 enodes) 1540201940.185 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201940.185 * [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)))))) 1540201940.185 * * * * [misc]progress: [ 178 / 6878 ] simplifiying candidate # 1540201940.186 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow n 1/2))) 1540201940.186 * * [misc]simplify: iters left: 6 (15 enodes) 1540201940.188 * * [misc]simplify: iters left: 5 (24 enodes) 1540201940.192 * * [misc]simplify: iters left: 4 (34 enodes) 1540201940.196 * * [misc]simplify: iters left: 3 (49 enodes) 1540201940.203 * * [misc]simplify: iters left: 2 (76 enodes) 1540201940.221 * * [misc]simplify: iters left: 1 (159 enodes) 1540201940.253 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540201940.253 * [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)))))) 1540201940.254 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201940.254 * * [misc]simplify: iters left: 6 (15 enodes) 1540201940.256 * * [misc]simplify: iters left: 5 (20 enodes) 1540201940.258 * * [misc]simplify: iters left: 4 (24 enodes) 1540201940.261 * * [misc]simplify: iters left: 3 (26 enodes) 1540201940.265 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540201940.265 * [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)))))) 1540201940.265 * * * * [misc]progress: [ 179 / 6878 ] simplifiying candidate # 1540201940.265 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow n 1/2))) 1540201940.265 * * [misc]simplify: iters left: 6 (15 enodes) 1540201940.267 * * [misc]simplify: iters left: 5 (24 enodes) 1540201940.271 * * [misc]simplify: iters left: 4 (34 enodes) 1540201940.275 * * [misc]simplify: iters left: 3 (49 enodes) 1540201940.283 * * [misc]simplify: iters left: 2 (76 enodes) 1540201940.296 * * [misc]simplify: iters left: 1 (159 enodes) 1540201940.344 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540201940.344 * [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)))))) 1540201940.344 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201940.345 * * [misc]simplify: iters left: 6 (15 enodes) 1540201940.347 * * [misc]simplify: iters left: 5 (20 enodes) 1540201940.349 * * [misc]simplify: iters left: 4 (24 enodes) 1540201940.352 * * [misc]simplify: iters left: 3 (26 enodes) 1540201940.356 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540201940.356 * [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)))))) 1540201940.356 * * * * [misc]progress: [ 180 / 6878 ] simplifiying candidate # 1540201940.356 * [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))))))) 1540201940.356 * * [misc]simplify: iters left: 6 (17 enodes) 1540201940.359 * * [misc]simplify: iters left: 5 (27 enodes) 1540201940.369 * * [misc]simplify: iters left: 4 (42 enodes) 1540201940.381 * * [misc]simplify: iters left: 3 (69 enodes) 1540201940.403 * * [misc]simplify: iters left: 2 (154 enodes) 1540201940.502 * * [misc]simplify: iters left: 1 (416 enodes) 1540201940.762 * [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)))))) 1540201940.762 * [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)))))) 1540201940.762 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201940.762 * * [misc]simplify: iters left: 6 (15 enodes) 1540201940.767 * * [misc]simplify: iters left: 5 (19 enodes) 1540201940.772 * * [misc]simplify: iters left: 4 (25 enodes) 1540201940.777 * * [misc]simplify: iters left: 3 (27 enodes) 1540201940.780 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201940.780 * [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)))))) 1540201940.780 * * * * [misc]progress: [ 181 / 6878 ] simplifiying candidate # 1540201940.781 * [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)))))) 1540201940.781 * * [misc]simplify: iters left: 6 (16 enodes) 1540201940.783 * * [misc]simplify: iters left: 5 (24 enodes) 1540201940.787 * * [misc]simplify: iters left: 4 (34 enodes) 1540201940.791 * * [misc]simplify: iters left: 3 (49 enodes) 1540201940.798 * * [misc]simplify: iters left: 2 (76 enodes) 1540201940.818 * * [misc]simplify: iters left: 1 (140 enodes) 1540201940.845 * [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)))))) 1540201940.845 * [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)))))) 1540201940.845 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201940.845 * * [misc]simplify: iters left: 6 (15 enodes) 1540201940.847 * * [misc]simplify: iters left: 5 (19 enodes) 1540201940.853 * * [misc]simplify: iters left: 4 (25 enodes) 1540201940.859 * * [misc]simplify: iters left: 3 (27 enodes) 1540201940.866 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201940.866 * [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)))))) 1540201940.866 * * * * [misc]progress: [ 182 / 6878 ] simplifiying candidate # 1540201940.866 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt 1) 1)) 1540201940.866 * * [misc]simplify: iters left: 6 (13 enodes) 1540201940.871 * * [misc]simplify: iters left: 5 (21 enodes) 1540201940.876 * * [misc]simplify: iters left: 4 (24 enodes) 1540201940.882 * * [misc]simplify: iters left: 3 (33 enodes) 1540201940.890 * * [misc]simplify: iters left: 2 (38 enodes) 1540201940.898 * * [misc]simplify: iters left: 1 (49 enodes) 1540201940.910 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201940.910 * [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)))))) 1540201940.911 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201940.911 * * [misc]simplify: iters left: 6 (14 enodes) 1540201940.913 * * [misc]simplify: iters left: 5 (18 enodes) 1540201940.915 * * [misc]simplify: iters left: 4 (24 enodes) 1540201940.918 * * [misc]simplify: iters left: 3 (26 enodes) 1540201940.921 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201940.921 * [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)))))) 1540201940.921 * * * * [misc]progress: [ 183 / 6878 ] simplifiying candidate # 1540201940.922 * [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))) 1540201940.922 * * [misc]simplify: iters left: 6 (16 enodes) 1540201940.924 * * [misc]simplify: iters left: 5 (23 enodes) 1540201940.928 * * [misc]simplify: iters left: 4 (33 enodes) 1540201940.932 * * [misc]simplify: iters left: 3 (45 enodes) 1540201940.938 * * [misc]simplify: iters left: 2 (57 enodes) 1540201940.947 * * [misc]simplify: iters left: 1 (63 enodes) 1540201940.964 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540201940.964 * [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)))))) 1540201940.964 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201940.964 * * [misc]simplify: iters left: 6 (16 enodes) 1540201940.969 * * [misc]simplify: iters left: 5 (21 enodes) 1540201940.973 * * [misc]simplify: iters left: 4 (25 enodes) 1540201940.976 * * [misc]simplify: iters left: 3 (27 enodes) 1540201940.979 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201940.979 * [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)))))) 1540201940.979 * * * * [misc]progress: [ 184 / 6878 ] simplifiying candidate # 1540201940.980 * [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))) 1540201940.980 * * [misc]simplify: iters left: 6 (16 enodes) 1540201940.982 * * [misc]simplify: iters left: 5 (23 enodes) 1540201940.985 * * [misc]simplify: iters left: 4 (33 enodes) 1540201940.990 * * [misc]simplify: iters left: 3 (45 enodes) 1540201940.999 * * [misc]simplify: iters left: 2 (57 enodes) 1540201941.013 * * [misc]simplify: iters left: 1 (63 enodes) 1540201941.031 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540201941.031 * [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)))))) 1540201941.031 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201941.031 * * [misc]simplify: iters left: 6 (16 enodes) 1540201941.036 * * [misc]simplify: iters left: 5 (21 enodes) 1540201941.041 * * [misc]simplify: iters left: 4 (25 enodes) 1540201941.047 * * [misc]simplify: iters left: 3 (27 enodes) 1540201941.051 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201941.051 * [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)))))) 1540201941.051 * * * * [misc]progress: [ 185 / 6878 ] simplifiying candidate # 1540201941.051 * [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))))))) 1540201941.051 * * [misc]simplify: iters left: 6 (18 enodes) 1540201941.054 * * [misc]simplify: iters left: 5 (26 enodes) 1540201941.057 * * [misc]simplify: iters left: 4 (40 enodes) 1540201941.064 * * [misc]simplify: iters left: 3 (66 enodes) 1540201941.074 * * [misc]simplify: iters left: 2 (105 enodes) 1540201941.103 * * [misc]simplify: iters left: 1 (136 enodes) 1540201941.126 * [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)))) 1540201941.127 * [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)))))) 1540201941.127 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201941.127 * * [misc]simplify: iters left: 6 (16 enodes) 1540201941.129 * * [misc]simplify: iters left: 5 (20 enodes) 1540201941.132 * * [misc]simplify: iters left: 4 (26 enodes) 1540201941.135 * * [misc]simplify: iters left: 3 (28 enodes) 1540201941.139 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201941.139 * [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)))))) 1540201941.139 * * * * [misc]progress: [ 186 / 6878 ] simplifiying candidate # 1540201941.139 * [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)))))) 1540201941.139 * * [misc]simplify: iters left: 6 (17 enodes) 1540201941.142 * * [misc]simplify: iters left: 5 (23 enodes) 1540201941.145 * * [misc]simplify: iters left: 4 (33 enodes) 1540201941.150 * * [misc]simplify: iters left: 3 (45 enodes) 1540201941.156 * * [misc]simplify: iters left: 2 (57 enodes) 1540201941.165 * * [misc]simplify: iters left: 1 (63 enodes) 1540201941.183 * [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)))))) 1540201941.183 * [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)))))) 1540201941.183 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201941.183 * * [misc]simplify: iters left: 6 (16 enodes) 1540201941.188 * * [misc]simplify: iters left: 5 (20 enodes) 1540201941.193 * * [misc]simplify: iters left: 4 (26 enodes) 1540201941.200 * * [misc]simplify: iters left: 3 (28 enodes) 1540201941.208 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201941.208 * [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)))))) 1540201941.208 * * * * [misc]progress: [ 187 / 6878 ] simplifiying candidate # 1540201941.209 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201941.209 * * [misc]simplify: iters left: 6 (15 enodes) 1540201941.213 * * [misc]simplify: iters left: 5 (23 enodes) 1540201941.220 * * [misc]simplify: iters left: 4 (34 enodes) 1540201941.229 * * [misc]simplify: iters left: 3 (45 enodes) 1540201941.239 * * [misc]simplify: iters left: 2 (46 enodes) 1540201941.247 * * [misc]simplify: iters left: 1 (52 enodes) 1540201941.258 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201941.258 * [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)))))) 1540201941.259 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201941.259 * * [misc]simplify: iters left: 6 (15 enodes) 1540201941.263 * * [misc]simplify: iters left: 5 (19 enodes) 1540201941.269 * * [misc]simplify: iters left: 4 (25 enodes) 1540201941.274 * * [misc]simplify: iters left: 3 (27 enodes) 1540201941.281 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201941.281 * [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)))))) 1540201941.281 * * * * [misc]progress: [ 188 / 6878 ] simplifiying candidate # 1540201941.281 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n 1/2))) 1540201941.281 * * [misc]simplify: iters left: 6 (14 enodes) 1540201941.286 * * [misc]simplify: iters left: 5 (23 enodes) 1540201941.292 * * [misc]simplify: iters left: 4 (33 enodes) 1540201941.301 * * [misc]simplify: iters left: 3 (48 enodes) 1540201941.316 * * [misc]simplify: iters left: 2 (96 enodes) 1540201941.351 * * [misc]simplify: iters left: 1 (237 enodes) 1540201941.434 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540201941.434 * [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)))))) 1540201941.435 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201941.435 * * [misc]simplify: iters left: 6 (15 enodes) 1540201941.437 * * [misc]simplify: iters left: 5 (20 enodes) 1540201941.439 * * [misc]simplify: iters left: 4 (24 enodes) 1540201941.443 * * [misc]simplify: iters left: 3 (26 enodes) 1540201941.446 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540201941.446 * [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)))))) 1540201941.446 * * * * [misc]progress: [ 189 / 6878 ] simplifiying candidate # 1540201941.446 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n 1/2))) 1540201941.446 * * [misc]simplify: iters left: 6 (14 enodes) 1540201941.448 * * [misc]simplify: iters left: 5 (23 enodes) 1540201941.451 * * [misc]simplify: iters left: 4 (33 enodes) 1540201941.456 * * [misc]simplify: iters left: 3 (48 enodes) 1540201941.467 * * [misc]simplify: iters left: 2 (96 enodes) 1540201941.517 * * [misc]simplify: iters left: 1 (237 enodes) 1540201941.618 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540201941.618 * [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)))))) 1540201941.618 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201941.619 * * [misc]simplify: iters left: 6 (15 enodes) 1540201941.623 * * [misc]simplify: iters left: 5 (20 enodes) 1540201941.628 * * [misc]simplify: iters left: 4 (24 enodes) 1540201941.634 * * [misc]simplify: iters left: 3 (26 enodes) 1540201941.640 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540201941.640 * [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)))))) 1540201941.640 * * * * [misc]progress: [ 190 / 6878 ] simplifiying candidate # 1540201941.641 * [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))))))) 1540201941.641 * * [misc]simplify: iters left: 6 (16 enodes) 1540201941.645 * * [misc]simplify: iters left: 5 (26 enodes) 1540201941.652 * * [misc]simplify: iters left: 4 (40 enodes) 1540201941.661 * * [misc]simplify: iters left: 3 (67 enodes) 1540201941.673 * * [misc]simplify: iters left: 2 (133 enodes) 1540201941.735 * * [misc]simplify: iters left: 1 (387 enodes) 1540201942.000 * [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)))))) 1540201942.000 * [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)))))) 1540201942.001 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201942.001 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.006 * * [misc]simplify: iters left: 5 (19 enodes) 1540201942.011 * * [misc]simplify: iters left: 4 (25 enodes) 1540201942.018 * * [misc]simplify: iters left: 3 (27 enodes) 1540201942.025 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201942.025 * [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)))))) 1540201942.026 * * * * [misc]progress: [ 191 / 6878 ] simplifiying candidate # 1540201942.026 * [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)))))) 1540201942.026 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.031 * * [misc]simplify: iters left: 5 (23 enodes) 1540201942.037 * * [misc]simplify: iters left: 4 (33 enodes) 1540201942.047 * * [misc]simplify: iters left: 3 (48 enodes) 1540201942.062 * * [misc]simplify: iters left: 2 (96 enodes) 1540201942.109 * * [misc]simplify: iters left: 1 (228 enodes) 1540201942.214 * [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))))) 1540201942.214 * [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)))))) 1540201942.214 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201942.214 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.220 * * [misc]simplify: iters left: 5 (19 enodes) 1540201942.225 * * [misc]simplify: iters left: 4 (25 enodes) 1540201942.232 * * [misc]simplify: iters left: 3 (27 enodes) 1540201942.238 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201942.239 * [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)))))) 1540201942.239 * * * * [misc]progress: [ 192 / 6878 ] simplifiying candidate # 1540201942.239 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1540201942.239 * * [misc]simplify: iters left: 6 (12 enodes) 1540201942.243 * * [misc]simplify: iters left: 5 (18 enodes) 1540201942.247 * * [misc]simplify: iters left: 4 (21 enodes) 1540201942.253 * * [misc]simplify: iters left: 3 (29 enodes) 1540201942.259 * * [misc]simplify: iters left: 2 (31 enodes) 1540201942.265 * * [misc]simplify: iters left: 1 (38 enodes) 1540201942.274 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201942.274 * [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)))))) 1540201942.274 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201942.275 * * [misc]simplify: iters left: 6 (14 enodes) 1540201942.277 * * [misc]simplify: iters left: 5 (18 enodes) 1540201942.279 * * [misc]simplify: iters left: 4 (24 enodes) 1540201942.282 * * [misc]simplify: iters left: 3 (26 enodes) 1540201942.285 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201942.285 * [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)))))) 1540201942.286 * * * * [misc]progress: [ 193 / 6878 ] simplifiying candidate # 1540201942.286 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1540201942.286 * * [misc]simplify: iters left: 6 (11 enodes) 1540201942.287 * * [misc]simplify: iters left: 5 (17 enodes) 1540201942.290 * * [misc]simplify: iters left: 4 (26 enodes) 1540201942.293 * * [misc]simplify: iters left: 3 (28 enodes) 1540201942.296 * * [misc]simplify: iters left: 2 (33 enodes) 1540201942.304 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201942.304 * [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)))))) 1540201942.304 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201942.304 * * [misc]simplify: iters left: 6 (14 enodes) 1540201942.308 * * [misc]simplify: iters left: 5 (18 enodes) 1540201942.313 * * [misc]simplify: iters left: 4 (24 enodes) 1540201942.317 * * [misc]simplify: iters left: 3 (26 enodes) 1540201942.320 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201942.320 * [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)))))) 1540201942.320 * * * * [misc]progress: [ 194 / 6878 ] simplifiying candidate # 1540201942.320 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540201942.320 * * [misc]simplify: iters left: 6 (12 enodes) 1540201942.322 * * [misc]simplify: iters left: 5 (16 enodes) 1540201942.324 * * [misc]simplify: iters left: 4 (21 enodes) 1540201942.328 * * [misc]simplify: iters left: 3 (22 enodes) 1540201942.331 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540201942.331 * [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)))))) 1540201942.331 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201942.331 * * [misc]simplify: iters left: 6 (13 enodes) 1540201942.333 * * [misc]simplify: iters left: 5 (19 enodes) 1540201942.335 * * [misc]simplify: iters left: 4 (25 enodes) 1540201942.339 * * [misc]simplify: iters left: 3 (35 enodes) 1540201942.343 * * [misc]simplify: iters left: 2 (37 enodes) 1540201942.346 * * [misc]simplify: iters left: 1 (42 enodes) 1540201942.355 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201942.355 * [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)))))) 1540201942.355 * * * * [misc]progress: [ 195 / 6878 ] simplifiying candidate # 1540201942.355 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1540201942.355 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.360 * * [misc]simplify: iters left: 5 (22 enodes) 1540201942.366 * * [misc]simplify: iters left: 4 (32 enodes) 1540201942.375 * * [misc]simplify: iters left: 3 (44 enodes) 1540201942.386 * * [misc]simplify: iters left: 2 (56 enodes) 1540201942.401 * * [misc]simplify: iters left: 1 (62 enodes) 1540201942.415 * [exit]simplify: Simplified to (* (/ (sqrt n) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540201942.415 * [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)))))) 1540201942.415 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1540201942.415 * * [misc]simplify: iters left: 6 (11 enodes) 1540201942.417 * * [misc]simplify: iters left: 5 (13 enodes) 1540201942.420 * * [misc]simplify: iters left: 4 (16 enodes) 1540201942.422 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1540201942.422 * [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)))))) 1540201942.422 * * * * [misc]progress: [ 196 / 6878 ] simplifiying candidate # 1540201942.422 * [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))))))) 1540201942.423 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.425 * * [misc]simplify: iters left: 5 (20 enodes) 1540201942.427 * * [misc]simplify: iters left: 4 (23 enodes) 1540201942.431 * [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)))))) 1540201942.431 * [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)))))) 1540201942.431 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201942.431 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.433 * * [misc]simplify: iters left: 5 (17 enodes) 1540201942.435 * * [misc]simplify: iters left: 4 (20 enodes) 1540201942.438 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201942.438 * [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)))))) 1540201942.438 * * * * [misc]progress: [ 197 / 6878 ] simplifiying candidate # 1540201942.439 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201942.439 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.442 * * [misc]simplify: iters left: 5 (17 enodes) 1540201942.447 * * [misc]simplify: iters left: 4 (20 enodes) 1540201942.452 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201942.453 * [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)))))) 1540201942.453 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201942.453 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.456 * * [misc]simplify: iters left: 5 (17 enodes) 1540201942.458 * * [misc]simplify: iters left: 4 (20 enodes) 1540201942.461 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201942.461 * [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)))))) 1540201942.461 * * * * [misc]progress: [ 198 / 6878 ] simplifiying candidate # 1540201942.461 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540201942.461 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.463 * * [misc]simplify: iters left: 5 (23 enodes) 1540201942.466 * * [misc]simplify: iters left: 4 (33 enodes) 1540201942.471 * * [misc]simplify: iters left: 3 (45 enodes) 1540201942.476 * * [misc]simplify: iters left: 2 (50 enodes) 1540201942.482 * * [misc]simplify: iters left: 1 (57 enodes) 1540201942.496 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540201942.496 * [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)))))) 1540201942.496 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201942.496 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.501 * * [misc]simplify: iters left: 5 (21 enodes) 1540201942.507 * * [misc]simplify: iters left: 4 (25 enodes) 1540201942.512 * * [misc]simplify: iters left: 3 (27 enodes) 1540201942.516 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201942.516 * [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)))))) 1540201942.516 * * * * [misc]progress: [ 199 / 6878 ] simplifiying candidate # 1540201942.516 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540201942.516 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.518 * * [misc]simplify: iters left: 5 (23 enodes) 1540201942.521 * * [misc]simplify: iters left: 4 (33 enodes) 1540201942.526 * * [misc]simplify: iters left: 3 (45 enodes) 1540201942.532 * * [misc]simplify: iters left: 2 (50 enodes) 1540201942.538 * * [misc]simplify: iters left: 1 (57 enodes) 1540201942.551 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540201942.551 * [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)))))) 1540201942.552 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201942.552 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.556 * * [misc]simplify: iters left: 5 (21 enodes) 1540201942.559 * * [misc]simplify: iters left: 4 (25 enodes) 1540201942.562 * * [misc]simplify: iters left: 3 (27 enodes) 1540201942.565 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201942.565 * [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)))))) 1540201942.565 * * * * [misc]progress: [ 200 / 6878 ] simplifiying candidate # 1540201942.565 * [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))))))) 1540201942.566 * * [misc]simplify: iters left: 6 (18 enodes) 1540201942.568 * * [misc]simplify: iters left: 5 (28 enodes) 1540201942.572 * * [misc]simplify: iters left: 4 (49 enodes) 1540201942.579 * * [misc]simplify: iters left: 3 (72 enodes) 1540201942.600 * * [misc]simplify: iters left: 2 (102 enodes) 1540201942.616 * * [misc]simplify: iters left: 1 (126 enodes) 1540201942.647 * [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)))))) 1540201942.648 * [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)))))) 1540201942.648 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201942.648 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.653 * * [misc]simplify: iters left: 5 (20 enodes) 1540201942.658 * * [misc]simplify: iters left: 4 (26 enodes) 1540201942.666 * * [misc]simplify: iters left: 3 (28 enodes) 1540201942.673 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201942.673 * [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)))))) 1540201942.673 * * * * [misc]progress: [ 201 / 6878 ] simplifiying candidate # 1540201942.674 * [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)))))) 1540201942.674 * * [misc]simplify: iters left: 6 (17 enodes) 1540201942.679 * * [misc]simplify: iters left: 5 (23 enodes) 1540201942.686 * * [misc]simplify: iters left: 4 (33 enodes) 1540201942.691 * * [misc]simplify: iters left: 3 (45 enodes) 1540201942.697 * * [misc]simplify: iters left: 2 (50 enodes) 1540201942.703 * * [misc]simplify: iters left: 1 (57 enodes) 1540201942.711 * [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)))))) 1540201942.711 * [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)))))) 1540201942.711 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201942.711 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.713 * * [misc]simplify: iters left: 5 (20 enodes) 1540201942.717 * * [misc]simplify: iters left: 4 (26 enodes) 1540201942.724 * * [misc]simplify: iters left: 3 (28 enodes) 1540201942.731 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201942.731 * [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)))))) 1540201942.731 * * * * [misc]progress: [ 202 / 6878 ] simplifiying candidate # 1540201942.732 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540201942.732 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.736 * * [misc]simplify: iters left: 5 (23 enodes) 1540201942.745 * * [misc]simplify: iters left: 4 (37 enodes) 1540201942.754 * * [misc]simplify: iters left: 3 (43 enodes) 1540201942.763 * * [misc]simplify: iters left: 2 (64 enodes) 1540201942.784 * * [misc]simplify: iters left: 1 (86 enodes) 1540201942.797 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201942.797 * [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)))))) 1540201942.798 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201942.798 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.800 * * [misc]simplify: iters left: 5 (19 enodes) 1540201942.802 * * [misc]simplify: iters left: 4 (25 enodes) 1540201942.805 * * [misc]simplify: iters left: 3 (27 enodes) 1540201942.809 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201942.809 * [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)))))) 1540201942.809 * * * * [misc]progress: [ 203 / 6878 ] simplifiying candidate # 1540201942.809 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540201942.809 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.811 * * [misc]simplify: iters left: 5 (22 enodes) 1540201942.814 * * [misc]simplify: iters left: 4 (28 enodes) 1540201942.818 * * [misc]simplify: iters left: 3 (30 enodes) 1540201942.822 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540201942.822 * [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)))))) 1540201942.822 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201942.822 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.824 * * [misc]simplify: iters left: 5 (21 enodes) 1540201942.827 * * [misc]simplify: iters left: 4 (25 enodes) 1540201942.833 * * [misc]simplify: iters left: 3 (27 enodes) 1540201942.840 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201942.840 * [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)))))) 1540201942.840 * * * * [misc]progress: [ 204 / 6878 ] simplifiying candidate # 1540201942.840 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540201942.841 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.845 * * [misc]simplify: iters left: 5 (22 enodes) 1540201942.852 * * [misc]simplify: iters left: 4 (28 enodes) 1540201942.859 * * [misc]simplify: iters left: 3 (30 enodes) 1540201942.866 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540201942.866 * [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)))))) 1540201942.867 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201942.867 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.871 * * [misc]simplify: iters left: 5 (21 enodes) 1540201942.877 * * [misc]simplify: iters left: 4 (25 enodes) 1540201942.884 * * [misc]simplify: iters left: 3 (27 enodes) 1540201942.890 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201942.891 * [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)))))) 1540201942.891 * * * * [misc]progress: [ 205 / 6878 ] simplifiying candidate # 1540201942.891 * [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))))))) 1540201942.891 * * [misc]simplify: iters left: 6 (18 enodes) 1540201942.896 * * [misc]simplify: iters left: 5 (25 enodes) 1540201942.904 * * [misc]simplify: iters left: 4 (33 enodes) 1540201942.913 * * [misc]simplify: iters left: 3 (42 enodes) 1540201942.922 * * [misc]simplify: iters left: 2 (50 enodes) 1540201942.927 * * [misc]simplify: iters left: 1 (52 enodes) 1540201942.935 * [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))))) 1540201942.935 * [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)))))) 1540201942.935 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201942.935 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.937 * * [misc]simplify: iters left: 5 (20 enodes) 1540201942.940 * * [misc]simplify: iters left: 4 (26 enodes) 1540201942.943 * * [misc]simplify: iters left: 3 (28 enodes) 1540201942.947 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201942.947 * [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)))))) 1540201942.947 * * * * [misc]progress: [ 206 / 6878 ] simplifiying candidate # 1540201942.947 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201942.947 * * [misc]simplify: iters left: 6 (17 enodes) 1540201942.952 * * [misc]simplify: iters left: 5 (22 enodes) 1540201942.958 * * [misc]simplify: iters left: 4 (28 enodes) 1540201942.966 * * [misc]simplify: iters left: 3 (30 enodes) 1540201942.974 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201942.974 * [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)))))) 1540201942.975 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201942.975 * * [misc]simplify: iters left: 6 (16 enodes) 1540201942.980 * * [misc]simplify: iters left: 5 (20 enodes) 1540201942.986 * * [misc]simplify: iters left: 4 (26 enodes) 1540201942.990 * * [misc]simplify: iters left: 3 (28 enodes) 1540201942.993 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201942.993 * [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)))))) 1540201942.993 * * * * [misc]progress: [ 207 / 6878 ] simplifiying candidate # 1540201942.994 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540201942.994 * * [misc]simplify: iters left: 6 (15 enodes) 1540201942.996 * * [misc]simplify: iters left: 5 (21 enodes) 1540201942.999 * * [misc]simplify: iters left: 4 (28 enodes) 1540201943.004 * * [misc]simplify: iters left: 3 (32 enodes) 1540201943.012 * * [misc]simplify: iters left: 2 (37 enodes) 1540201943.020 * * [misc]simplify: iters left: 1 (40 enodes) 1540201943.029 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1540201943.029 * [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)))))) 1540201943.030 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201943.030 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.034 * * [misc]simplify: iters left: 5 (19 enodes) 1540201943.040 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.046 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.055 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201943.055 * [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)))))) 1540201943.055 * * * * [misc]progress: [ 208 / 6878 ] simplifiying candidate # 1540201943.056 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201943.056 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.060 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.066 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.073 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.080 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540201943.080 * [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)))))) 1540201943.080 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201943.081 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.085 * * [misc]simplify: iters left: 5 (21 enodes) 1540201943.091 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.098 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.106 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201943.106 * [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)))))) 1540201943.106 * * * * [misc]progress: [ 209 / 6878 ] simplifiying candidate # 1540201943.106 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201943.106 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.111 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.116 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.121 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.124 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540201943.125 * [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)))))) 1540201943.125 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201943.125 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.127 * * [misc]simplify: iters left: 5 (21 enodes) 1540201943.130 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.133 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.136 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201943.136 * [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)))))) 1540201943.136 * * * * [misc]progress: [ 210 / 6878 ] simplifiying candidate # 1540201943.136 * [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))))))) 1540201943.136 * * [misc]simplify: iters left: 6 (17 enodes) 1540201943.139 * * [misc]simplify: iters left: 5 (23 enodes) 1540201943.142 * * [misc]simplify: iters left: 4 (31 enodes) 1540201943.146 * * [misc]simplify: iters left: 3 (40 enodes) 1540201943.155 * * [misc]simplify: iters left: 2 (48 enodes) 1540201943.167 * * [misc]simplify: iters left: 1 (50 enodes) 1540201943.180 * [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)))))) 1540201943.180 * [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)))))) 1540201943.180 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201943.180 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.182 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.185 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.188 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.192 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201943.192 * [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)))))) 1540201943.192 * * * * [misc]progress: [ 211 / 6878 ] simplifiying candidate # 1540201943.192 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.192 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.194 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.197 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.200 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.204 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.204 * [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)))))) 1540201943.204 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.204 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.206 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.210 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.217 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.225 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.225 * [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)))))) 1540201943.225 * * * * [misc]progress: [ 212 / 6878 ] simplifiying candidate # 1540201943.225 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201943.226 * * [misc]simplify: iters left: 6 (14 enodes) 1540201943.230 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.236 * * [misc]simplify: iters left: 4 (30 enodes) 1540201943.243 * * [misc]simplify: iters left: 3 (34 enodes) 1540201943.250 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1540201943.250 * [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)))))) 1540201943.251 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201943.251 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.255 * * [misc]simplify: iters left: 5 (19 enodes) 1540201943.260 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.267 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.274 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201943.274 * [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)))))) 1540201943.274 * * * * [misc]progress: [ 213 / 6878 ] simplifiying candidate # 1540201943.275 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow n 1/2))) 1540201943.275 * * [misc]simplify: iters left: 6 (14 enodes) 1540201943.280 * * [misc]simplify: iters left: 5 (21 enodes) 1540201943.286 * * [misc]simplify: iters left: 4 (27 enodes) 1540201943.293 * * [misc]simplify: iters left: 3 (37 enodes) 1540201943.303 * * [misc]simplify: iters left: 2 (46 enodes) 1540201943.312 * * [misc]simplify: iters left: 1 (49 enodes) 1540201943.321 * [exit]simplify: Simplified to (* (sqrt n) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201943.321 * [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)))))) 1540201943.321 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201943.321 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.326 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.331 * * [misc]simplify: iters left: 4 (24 enodes) 1540201943.338 * * [misc]simplify: iters left: 3 (26 enodes) 1540201943.344 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540201943.345 * [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)))))) 1540201943.345 * * * * [misc]progress: [ 214 / 6878 ] simplifiying candidate # 1540201943.345 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow n 1/2))) 1540201943.345 * * [misc]simplify: iters left: 6 (14 enodes) 1540201943.350 * * [misc]simplify: iters left: 5 (21 enodes) 1540201943.353 * * [misc]simplify: iters left: 4 (27 enodes) 1540201943.357 * * [misc]simplify: iters left: 3 (37 enodes) 1540201943.362 * * [misc]simplify: iters left: 2 (46 enodes) 1540201943.366 * * [misc]simplify: iters left: 1 (49 enodes) 1540201943.370 * [exit]simplify: Simplified to (* (sqrt n) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201943.370 * [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)))))) 1540201943.371 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201943.371 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.373 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.375 * * [misc]simplify: iters left: 4 (24 enodes) 1540201943.378 * * [misc]simplify: iters left: 3 (26 enodes) 1540201943.384 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540201943.384 * [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)))))) 1540201943.384 * * * * [misc]progress: [ 215 / 6878 ] simplifiying candidate # 1540201943.385 * [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))))))) 1540201943.385 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.390 * * [misc]simplify: iters left: 5 (24 enodes) 1540201943.397 * * [misc]simplify: iters left: 4 (33 enodes) 1540201943.407 * * [misc]simplify: iters left: 3 (49 enodes) 1540201943.421 * * [misc]simplify: iters left: 2 (63 enodes) 1540201943.432 * * [misc]simplify: iters left: 1 (81 enodes) 1540201943.442 * [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))))) 1540201943.442 * [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)))))) 1540201943.442 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201943.443 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.445 * * [misc]simplify: iters left: 5 (19 enodes) 1540201943.447 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.450 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.454 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201943.454 * [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)))))) 1540201943.454 * * * * [misc]progress: [ 216 / 6878 ] simplifiying candidate # 1540201943.454 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.454 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.458 * * [misc]simplify: iters left: 5 (21 enodes) 1540201943.463 * * [misc]simplify: iters left: 4 (27 enodes) 1540201943.471 * * [misc]simplify: iters left: 3 (37 enodes) 1540201943.480 * * [misc]simplify: iters left: 2 (46 enodes) 1540201943.490 * * [misc]simplify: iters left: 1 (49 enodes) 1540201943.499 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201943.499 * [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)))))) 1540201943.500 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.500 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.504 * * [misc]simplify: iters left: 5 (19 enodes) 1540201943.509 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.515 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.518 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201943.518 * [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)))))) 1540201943.518 * * * * [misc]progress: [ 217 / 6878 ] simplifiying candidate # 1540201943.518 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt 1) 1)) 1540201943.518 * * [misc]simplify: iters left: 6 (12 enodes) 1540201943.521 * * [misc]simplify: iters left: 5 (18 enodes) 1540201943.523 * * [misc]simplify: iters left: 4 (21 enodes) 1540201943.525 * * [misc]simplify: iters left: 3 (24 enodes) 1540201943.527 * * [misc]simplify: iters left: 2 (25 enodes) 1540201943.530 * * [misc]simplify: iters left: 1 (27 enodes) 1540201943.533 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540201943.533 * [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)))))) 1540201943.533 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201943.533 * * [misc]simplify: iters left: 6 (14 enodes) 1540201943.535 * * [misc]simplify: iters left: 5 (18 enodes) 1540201943.537 * * [misc]simplify: iters left: 4 (24 enodes) 1540201943.541 * * [misc]simplify: iters left: 3 (26 enodes) 1540201943.548 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201943.548 * [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)))))) 1540201943.548 * * * * [misc]progress: [ 218 / 6878 ] simplifiying candidate # 1540201943.549 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201943.549 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.553 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.559 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.565 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.572 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540201943.572 * [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)))))) 1540201943.572 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201943.572 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.574 * * [misc]simplify: iters left: 5 (21 enodes) 1540201943.577 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.580 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.583 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201943.583 * [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)))))) 1540201943.583 * * * * [misc]progress: [ 219 / 6878 ] simplifiying candidate # 1540201943.583 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201943.583 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.585 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.588 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.591 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.594 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540201943.594 * [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)))))) 1540201943.595 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201943.595 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.597 * * [misc]simplify: iters left: 5 (21 enodes) 1540201943.601 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.604 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.607 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201943.607 * [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)))))) 1540201943.607 * * * * [misc]progress: [ 220 / 6878 ] simplifiying candidate # 1540201943.607 * [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))))))) 1540201943.607 * * [misc]simplify: iters left: 6 (17 enodes) 1540201943.610 * * [misc]simplify: iters left: 5 (23 enodes) 1540201943.613 * * [misc]simplify: iters left: 4 (31 enodes) 1540201943.617 * * [misc]simplify: iters left: 3 (40 enodes) 1540201943.622 * * [misc]simplify: iters left: 2 (48 enodes) 1540201943.632 * * [misc]simplify: iters left: 1 (50 enodes) 1540201943.646 * [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)))))) 1540201943.647 * [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)))))) 1540201943.647 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201943.647 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.651 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.654 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.657 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.661 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201943.661 * [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)))))) 1540201943.661 * * * * [misc]progress: [ 221 / 6878 ] simplifiying candidate # 1540201943.661 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.661 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.663 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.666 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.669 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.673 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.673 * [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)))))) 1540201943.673 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.673 * * [misc]simplify: iters left: 6 (16 enodes) 1540201943.675 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.678 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.681 * * [misc]simplify: iters left: 3 (28 enodes) 1540201943.687 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.687 * [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)))))) 1540201943.687 * * * * [misc]progress: [ 222 / 6878 ] simplifiying candidate # 1540201943.688 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201943.688 * * [misc]simplify: iters left: 6 (14 enodes) 1540201943.692 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.698 * * [misc]simplify: iters left: 4 (30 enodes) 1540201943.705 * * [misc]simplify: iters left: 3 (34 enodes) 1540201943.713 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1540201943.713 * [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)))))) 1540201943.713 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201943.713 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.717 * * [misc]simplify: iters left: 5 (19 enodes) 1540201943.721 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.724 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.727 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201943.727 * [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)))))) 1540201943.727 * * * * [misc]progress: [ 223 / 6878 ] simplifiying candidate # 1540201943.728 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n 1/2))) 1540201943.728 * * [misc]simplify: iters left: 6 (13 enodes) 1540201943.729 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.732 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.736 * * [misc]simplify: iters left: 3 (36 enodes) 1540201943.740 * * [misc]simplify: iters left: 2 (38 enodes) 1540201943.743 * * [misc]simplify: iters left: 1 (43 enodes) 1540201943.748 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) 1540201943.748 * [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)))))) 1540201943.749 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201943.749 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.753 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.759 * * [misc]simplify: iters left: 4 (24 enodes) 1540201943.765 * * [misc]simplify: iters left: 3 (26 enodes) 1540201943.772 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540201943.772 * [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)))))) 1540201943.773 * * * * [misc]progress: [ 224 / 6878 ] simplifiying candidate # 1540201943.773 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n 1/2))) 1540201943.773 * * [misc]simplify: iters left: 6 (13 enodes) 1540201943.777 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.783 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.790 * * [misc]simplify: iters left: 3 (36 enodes) 1540201943.799 * * [misc]simplify: iters left: 2 (38 enodes) 1540201943.807 * * [misc]simplify: iters left: 1 (43 enodes) 1540201943.812 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) 1540201943.812 * [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)))))) 1540201943.812 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201943.813 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.815 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.817 * * [misc]simplify: iters left: 4 (24 enodes) 1540201943.820 * * [misc]simplify: iters left: 3 (26 enodes) 1540201943.824 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540201943.824 * [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)))))) 1540201943.824 * * * * [misc]progress: [ 225 / 6878 ] simplifiying candidate # 1540201943.824 * [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))))))) 1540201943.824 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.826 * * [misc]simplify: iters left: 5 (23 enodes) 1540201943.829 * * [misc]simplify: iters left: 4 (31 enodes) 1540201943.834 * * [misc]simplify: iters left: 3 (45 enodes) 1540201943.845 * * [misc]simplify: iters left: 2 (54 enodes) 1540201943.858 * * [misc]simplify: iters left: 1 (59 enodes) 1540201943.874 * [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)))))) 1540201943.874 * [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)))))) 1540201943.874 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201943.874 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.879 * * [misc]simplify: iters left: 5 (19 enodes) 1540201943.884 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.891 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.899 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201943.899 * [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)))))) 1540201943.899 * * * * [misc]progress: [ 226 / 6878 ] simplifiying candidate # 1540201943.899 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.899 * * [misc]simplify: iters left: 6 (14 enodes) 1540201943.903 * * [misc]simplify: iters left: 5 (20 enodes) 1540201943.909 * * [misc]simplify: iters left: 4 (26 enodes) 1540201943.916 * * [misc]simplify: iters left: 3 (36 enodes) 1540201943.926 * * [misc]simplify: iters left: 2 (38 enodes) 1540201943.934 * * [misc]simplify: iters left: 1 (43 enodes) 1540201943.944 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201943.944 * [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)))))) 1540201943.944 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201943.944 * * [misc]simplify: iters left: 6 (15 enodes) 1540201943.949 * * [misc]simplify: iters left: 5 (19 enodes) 1540201943.954 * * [misc]simplify: iters left: 4 (25 enodes) 1540201943.961 * * [misc]simplify: iters left: 3 (27 enodes) 1540201943.969 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201943.969 * [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)))))) 1540201943.969 * * * * [misc]progress: [ 227 / 6878 ] simplifiying candidate # 1540201943.969 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1540201943.969 * * [misc]simplify: iters left: 6 (11 enodes) 1540201943.973 * * [misc]simplify: iters left: 5 (15 enodes) 1540201943.976 * * [misc]simplify: iters left: 4 (18 enodes) 1540201943.978 * * [misc]simplify: iters left: 3 (20 enodes) 1540201943.980 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540201943.980 * [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)))))) 1540201943.980 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201943.981 * * [misc]simplify: iters left: 6 (14 enodes) 1540201943.982 * * [misc]simplify: iters left: 5 (18 enodes) 1540201943.985 * * [misc]simplify: iters left: 4 (24 enodes) 1540201943.988 * * [misc]simplify: iters left: 3 (26 enodes) 1540201943.991 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201943.991 * [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)))))) 1540201943.991 * * * * [misc]progress: [ 228 / 6878 ] simplifiying candidate # 1540201943.991 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1540201943.991 * * [misc]simplify: iters left: 6 (10 enodes) 1540201943.993 * * [misc]simplify: iters left: 5 (14 enodes) 1540201943.995 * * [misc]simplify: iters left: 4 (19 enodes) 1540201943.997 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540201943.997 * [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)))))) 1540201943.997 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201943.997 * * [misc]simplify: iters left: 6 (14 enodes) 1540201943.999 * * [misc]simplify: iters left: 5 (18 enodes) 1540201944.001 * * [misc]simplify: iters left: 4 (24 enodes) 1540201944.004 * * [misc]simplify: iters left: 3 (26 enodes) 1540201944.008 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201944.008 * [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)))))) 1540201944.008 * * * * [misc]progress: [ 229 / 6878 ] simplifiying candidate # 1540201944.008 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201944.009 * * [misc]simplify: iters left: 6 (11 enodes) 1540201944.012 * * [misc]simplify: iters left: 5 (13 enodes) 1540201944.015 * * [misc]simplify: iters left: 4 (16 enodes) 1540201944.020 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201944.021 * [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)))))) 1540201944.021 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201944.021 * * [misc]simplify: iters left: 6 (13 enodes) 1540201944.025 * * [misc]simplify: iters left: 5 (19 enodes) 1540201944.030 * * [misc]simplify: iters left: 4 (25 enodes) 1540201944.038 * * [misc]simplify: iters left: 3 (35 enodes) 1540201944.047 * * [misc]simplify: iters left: 2 (37 enodes) 1540201944.054 * * [misc]simplify: iters left: 1 (42 enodes) 1540201944.063 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540201944.063 * [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)))))) 1540201944.063 * * * * [misc]progress: [ 230 / 6878 ] simplifiying candidate # 1540201944.064 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1540201944.064 * * [misc]simplify: iters left: 6 (14 enodes) 1540201944.068 * * [misc]simplify: iters left: 5 (19 enodes) 1540201944.074 * * [misc]simplify: iters left: 4 (25 enodes) 1540201944.080 * * [misc]simplify: iters left: 3 (27 enodes) 1540201944.087 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt n))) 1540201944.087 * [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)))))) 1540201944.087 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1540201944.088 * * [misc]simplify: iters left: 6 (11 enodes) 1540201944.091 * * [misc]simplify: iters left: 5 (13 enodes) 1540201944.094 * * [misc]simplify: iters left: 4 (16 enodes) 1540201944.099 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1540201944.099 * [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)))))) 1540201944.099 * * * * [misc]progress: [ 231 / 6878 ] simplifiying candidate # 1540201944.099 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540201944.100 * * [misc]simplify: iters left: 6 (14 enodes) 1540201944.104 * * [misc]simplify: iters left: 5 (20 enodes) 1540201944.109 * * [misc]simplify: iters left: 4 (23 enodes) 1540201944.116 * [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)))))) 1540201944.116 * [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)))))) 1540201944.116 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201944.116 * * [misc]simplify: iters left: 6 (14 enodes) 1540201944.120 * * [misc]simplify: iters left: 5 (16 enodes) 1540201944.125 * * [misc]simplify: iters left: 4 (19 enodes) 1540201944.130 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201944.130 * [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)))))) 1540201944.130 * * * * [misc]progress: [ 232 / 6878 ] simplifiying candidate # 1540201944.131 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201944.131 * * [misc]simplify: iters left: 6 (13 enodes) 1540201944.134 * * [misc]simplify: iters left: 5 (17 enodes) 1540201944.139 * * [misc]simplify: iters left: 4 (20 enodes) 1540201944.144 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201944.144 * [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)))))) 1540201944.145 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201944.145 * * [misc]simplify: iters left: 6 (14 enodes) 1540201944.149 * * [misc]simplify: iters left: 5 (16 enodes) 1540201944.153 * * [misc]simplify: iters left: 4 (19 enodes) 1540201944.158 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201944.159 * [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)))))) 1540201944.159 * * * * [misc]progress: [ 233 / 6878 ] simplifiying candidate # 1540201944.159 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540201944.159 * * [misc]simplify: iters left: 6 (11 enodes) 1540201944.162 * * [misc]simplify: iters left: 5 (18 enodes) 1540201944.167 * * [misc]simplify: iters left: 4 (25 enodes) 1540201944.174 * * [misc]simplify: iters left: 3 (35 enodes) 1540201944.188 * * [misc]simplify: iters left: 2 (62 enodes) 1540201944.197 * * [misc]simplify: iters left: 1 (91 enodes) 1540201944.212 * [exit]simplify: Simplified to (/ (sqrt n) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201944.212 * [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)))))) 1540201944.212 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201944.212 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.214 * * [misc]simplify: iters left: 5 (20 enodes) 1540201944.217 * * [misc]simplify: iters left: 4 (24 enodes) 1540201944.220 * * [misc]simplify: iters left: 3 (26 enodes) 1540201944.223 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540201944.224 * [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)))))) 1540201944.224 * * * * [misc]progress: [ 234 / 6878 ] simplifiying candidate # 1540201944.224 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540201944.224 * * [misc]simplify: iters left: 6 (11 enodes) 1540201944.227 * * [misc]simplify: iters left: 5 (18 enodes) 1540201944.232 * * [misc]simplify: iters left: 4 (25 enodes) 1540201944.239 * * [misc]simplify: iters left: 3 (35 enodes) 1540201944.251 * * [misc]simplify: iters left: 2 (62 enodes) 1540201944.271 * * [misc]simplify: iters left: 1 (91 enodes) 1540201944.300 * [exit]simplify: Simplified to (/ (sqrt n) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201944.300 * [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)))))) 1540201944.301 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201944.301 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.303 * * [misc]simplify: iters left: 5 (20 enodes) 1540201944.305 * * [misc]simplify: iters left: 4 (24 enodes) 1540201944.308 * * [misc]simplify: iters left: 3 (26 enodes) 1540201944.312 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540201944.312 * [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)))))) 1540201944.312 * * * * [misc]progress: [ 235 / 6878 ] simplifiying candidate # 1540201944.312 * [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))))))) 1540201944.312 * * [misc]simplify: iters left: 6 (16 enodes) 1540201944.314 * * [misc]simplify: iters left: 5 (28 enodes) 1540201944.318 * * [misc]simplify: iters left: 4 (49 enodes) 1540201944.326 * * [misc]simplify: iters left: 3 (71 enodes) 1540201944.348 * * [misc]simplify: iters left: 2 (172 enodes) 1540201944.452 * [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))))) 1540201944.452 * [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)))))) 1540201944.452 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201944.453 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.457 * * [misc]simplify: iters left: 5 (19 enodes) 1540201944.461 * * [misc]simplify: iters left: 4 (25 enodes) 1540201944.464 * * [misc]simplify: iters left: 3 (27 enodes) 1540201944.467 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201944.467 * [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)))))) 1540201944.467 * * * * [misc]progress: [ 236 / 6878 ] simplifiying candidate # 1540201944.467 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201944.468 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.470 * * [misc]simplify: iters left: 5 (23 enodes) 1540201944.473 * * [misc]simplify: iters left: 4 (33 enodes) 1540201944.477 * * [misc]simplify: iters left: 3 (53 enodes) 1540201944.486 * * [misc]simplify: iters left: 2 (91 enodes) 1540201944.501 * * [misc]simplify: iters left: 1 (169 enodes) 1540201944.550 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201944.550 * [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)))))) 1540201944.550 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201944.550 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.555 * * [misc]simplify: iters left: 5 (19 enodes) 1540201944.560 * * [misc]simplify: iters left: 4 (25 enodes) 1540201944.565 * * [misc]simplify: iters left: 3 (27 enodes) 1540201944.568 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201944.568 * [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)))))) 1540201944.568 * * * * [misc]progress: [ 237 / 6878 ] simplifiying candidate # 1540201944.568 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540201944.568 * * [misc]simplify: iters left: 6 (8 enodes) 1540201944.570 * * [misc]simplify: iters left: 5 (14 enodes) 1540201944.572 * * [misc]simplify: iters left: 4 (23 enodes) 1540201944.576 * * [misc]simplify: iters left: 3 (25 enodes) 1540201944.578 * * [misc]simplify: iters left: 2 (30 enodes) 1540201944.581 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201944.581 * [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)))))) 1540201944.581 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201944.581 * * [misc]simplify: iters left: 6 (14 enodes) 1540201944.583 * * [misc]simplify: iters left: 5 (18 enodes) 1540201944.586 * * [misc]simplify: iters left: 4 (24 enodes) 1540201944.589 * * [misc]simplify: iters left: 3 (26 enodes) 1540201944.592 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1540201944.592 * [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)))))) 1540201944.592 * * * * [misc]progress: [ 238 / 6878 ] simplifiying candidate # 1540201944.592 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540201944.592 * * [misc]simplify: iters left: 6 (11 enodes) 1540201944.594 * * [misc]simplify: iters left: 5 (17 enodes) 1540201944.596 * * [misc]simplify: iters left: 4 (20 enodes) 1540201944.601 * * [misc]simplify: iters left: 3 (22 enodes) 1540201944.607 * * [misc]simplify: iters left: 2 (34 enodes) 1540201944.615 * * [misc]simplify: iters left: 1 (35 enodes) 1540201944.622 * [exit]simplify: Simplified to (/ (sqrt n) (fabs (cbrt (sqrt k)))) 1540201944.622 * [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)))))) 1540201944.622 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201944.622 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.627 * * [misc]simplify: iters left: 5 (20 enodes) 1540201944.632 * * [misc]simplify: iters left: 4 (24 enodes) 1540201944.635 * * [misc]simplify: iters left: 3 (26 enodes) 1540201944.638 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (/ (- k) 2)))) 1540201944.638 * [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)))))) 1540201944.639 * * * * [misc]progress: [ 239 / 6878 ] simplifiying candidate # 1540201944.639 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540201944.639 * * [misc]simplify: iters left: 6 (11 enodes) 1540201944.641 * * [misc]simplify: iters left: 5 (17 enodes) 1540201944.642 * * [misc]simplify: iters left: 4 (20 enodes) 1540201944.645 * * [misc]simplify: iters left: 3 (22 enodes) 1540201944.648 * * [misc]simplify: iters left: 2 (34 enodes) 1540201944.652 * * [misc]simplify: iters left: 1 (35 enodes) 1540201944.655 * [exit]simplify: Simplified to (/ (sqrt n) (fabs (cbrt (sqrt k)))) 1540201944.655 * [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)))))) 1540201944.656 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540201944.656 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.658 * * [misc]simplify: iters left: 5 (20 enodes) 1540201944.660 * * [misc]simplify: iters left: 4 (24 enodes) 1540201944.663 * * [misc]simplify: iters left: 3 (26 enodes) 1540201944.667 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (/ (- k) 2)))) 1540201944.667 * [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)))))) 1540201944.667 * * * * [misc]progress: [ 240 / 6878 ] simplifiying candidate # 1540201944.668 * [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))))))) 1540201944.668 * * [misc]simplify: iters left: 6 (16 enodes) 1540201944.670 * * [misc]simplify: iters left: 5 (25 enodes) 1540201944.673 * * [misc]simplify: iters left: 4 (33 enodes) 1540201944.677 * * [misc]simplify: iters left: 3 (44 enodes) 1540201944.684 * * [misc]simplify: iters left: 2 (70 enodes) 1540201944.702 * * [misc]simplify: iters left: 1 (101 enodes) 1540201944.722 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201944.722 * [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)))))) 1540201944.722 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201944.722 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.724 * * [misc]simplify: iters left: 5 (19 enodes) 1540201944.727 * * [misc]simplify: iters left: 4 (25 enodes) 1540201944.730 * * [misc]simplify: iters left: 3 (27 enodes) 1540201944.733 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201944.733 * [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)))))) 1540201944.733 * * * * [misc]progress: [ 241 / 6878 ] simplifiying candidate # 1540201944.734 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201944.734 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.736 * * [misc]simplify: iters left: 5 (22 enodes) 1540201944.739 * * [misc]simplify: iters left: 4 (28 enodes) 1540201944.742 * * [misc]simplify: iters left: 3 (36 enodes) 1540201944.749 * * [misc]simplify: iters left: 2 (45 enodes) 1540201944.757 * * [misc]simplify: iters left: 1 (49 enodes) 1540201944.762 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1540201944.762 * [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)))))) 1540201944.762 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201944.762 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.764 * * [misc]simplify: iters left: 5 (19 enodes) 1540201944.767 * * [misc]simplify: iters left: 4 (25 enodes) 1540201944.770 * * [misc]simplify: iters left: 3 (27 enodes) 1540201944.773 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201944.773 * [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)))))) 1540201944.773 * * * * [misc]progress: [ 242 / 6878 ] simplifiying candidate # 1540201944.774 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540201944.774 * * [misc]simplify: iters left: 6 (8 enodes) 1540201944.775 * * [misc]simplify: iters left: 5 (12 enodes) 1540201944.777 * * [misc]simplify: iters left: 4 (16 enodes) 1540201944.778 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1540201944.778 * [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)))))) 1540201944.779 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201944.779 * * [misc]simplify: iters left: 6 (14 enodes) 1540201944.780 * * [misc]simplify: iters left: 5 (18 enodes) 1540201944.783 * * [misc]simplify: iters left: 4 (24 enodes) 1540201944.788 * * [misc]simplify: iters left: 3 (26 enodes) 1540201944.795 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1540201944.795 * [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)))))) 1540201944.795 * * * * [misc]progress: [ 243 / 6878 ] simplifiying candidate # 1540201944.795 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201944.795 * * [misc]simplify: iters left: 6 (10 enodes) 1540201944.798 * * [misc]simplify: iters left: 5 (15 enodes) 1540201944.802 * * [misc]simplify: iters left: 4 (18 enodes) 1540201944.806 * * [misc]simplify: iters left: 3 (20 enodes) 1540201944.812 * * [misc]simplify: iters left: 2 (32 enodes) 1540201944.819 * * [misc]simplify: iters left: 1 (40 enodes) 1540201944.827 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt (sqrt k)))) 1540201944.827 * [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)))))) 1540201944.827 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201944.827 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.832 * * [misc]simplify: iters left: 5 (20 enodes) 1540201944.837 * * [misc]simplify: iters left: 4 (24 enodes) 1540201944.843 * * [misc]simplify: iters left: 3 (26 enodes) 1540201944.849 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540201944.850 * [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)))))) 1540201944.850 * * * * [misc]progress: [ 244 / 6878 ] simplifiying candidate # 1540201944.850 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201944.850 * * [misc]simplify: iters left: 6 (10 enodes) 1540201944.853 * * [misc]simplify: iters left: 5 (15 enodes) 1540201944.858 * * [misc]simplify: iters left: 4 (18 enodes) 1540201944.862 * * [misc]simplify: iters left: 3 (20 enodes) 1540201944.868 * * [misc]simplify: iters left: 2 (32 enodes) 1540201944.875 * * [misc]simplify: iters left: 1 (40 enodes) 1540201944.883 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt (sqrt k)))) 1540201944.883 * [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)))))) 1540201944.883 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201944.884 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.888 * * [misc]simplify: iters left: 5 (20 enodes) 1540201944.893 * * [misc]simplify: iters left: 4 (24 enodes) 1540201944.899 * * [misc]simplify: iters left: 3 (26 enodes) 1540201944.905 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540201944.905 * [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)))))) 1540201944.906 * * * * [misc]progress: [ 245 / 6878 ] simplifiying candidate # 1540201944.906 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540201944.906 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.910 * * [misc]simplify: iters left: 5 (23 enodes) 1540201944.916 * * [misc]simplify: iters left: 4 (31 enodes) 1540201944.924 * * [misc]simplify: iters left: 3 (42 enodes) 1540201944.934 * * [misc]simplify: iters left: 2 (68 enodes) 1540201944.945 * * [misc]simplify: iters left: 1 (117 enodes) 1540201944.974 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1540201944.974 * [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)))))) 1540201944.974 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201944.974 * * [misc]simplify: iters left: 6 (15 enodes) 1540201944.976 * * [misc]simplify: iters left: 5 (19 enodes) 1540201944.978 * * [misc]simplify: iters left: 4 (25 enodes) 1540201944.982 * * [misc]simplify: iters left: 3 (27 enodes) 1540201944.985 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201944.985 * [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)))))) 1540201944.985 * * * * [misc]progress: [ 246 / 6878 ] simplifiying candidate # 1540201944.985 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201944.985 * * [misc]simplify: iters left: 6 (14 enodes) 1540201944.987 * * [misc]simplify: iters left: 5 (20 enodes) 1540201944.990 * * [misc]simplify: iters left: 4 (26 enodes) 1540201944.993 * * [misc]simplify: iters left: 3 (34 enodes) 1540201944.998 * * [misc]simplify: iters left: 2 (42 enodes) 1540201945.007 * * [misc]simplify: iters left: 1 (52 enodes) 1540201945.019 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1540201945.019 * [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)))))) 1540201945.019 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201945.019 * * [misc]simplify: iters left: 6 (15 enodes) 1540201945.023 * * [misc]simplify: iters left: 5 (19 enodes) 1540201945.029 * * [misc]simplify: iters left: 4 (25 enodes) 1540201945.036 * * [misc]simplify: iters left: 3 (27 enodes) 1540201945.043 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.043 * [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)))))) 1540201945.043 * * * * [misc]progress: [ 247 / 6878 ] simplifiying candidate # 1540201945.043 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) 1)) 1540201945.043 * * [misc]simplify: iters left: 6 (7 enodes) 1540201945.044 * * [misc]simplify: iters left: 5 (11 enodes) 1540201945.046 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.048 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1540201945.048 * [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)))))) 1540201945.048 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201945.048 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.050 * * [misc]simplify: iters left: 5 (18 enodes) 1540201945.053 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.057 * * [misc]simplify: iters left: 3 (26 enodes) 1540201945.060 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1540201945.060 * [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)))))) 1540201945.060 * * * * [misc]progress: [ 248 / 6878 ] simplifiying candidate # 1540201945.060 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (pow n 1/2))) 1540201945.061 * * [misc]simplify: iters left: 5 (7 enodes) 1540201945.062 * * [misc]simplify: iters left: 4 (12 enodes) 1540201945.064 * [exit]simplify: Simplified to (sqrt n) 1540201945.064 * [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)))))) 1540201945.064 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201945.064 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.066 * * [misc]simplify: iters left: 5 (19 enodes) 1540201945.069 * * [misc]simplify: iters left: 4 (23 enodes) 1540201945.072 * * [misc]simplify: iters left: 3 (25 enodes) 1540201945.078 * [exit]simplify: Simplified to (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201945.078 * [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)))))) 1540201945.078 * * * * [misc]progress: [ 249 / 6878 ] simplifiying candidate # 1540201945.079 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (pow n 1/2))) 1540201945.079 * * [misc]simplify: iters left: 5 (7 enodes) 1540201945.082 * * [misc]simplify: iters left: 4 (12 enodes) 1540201945.085 * [exit]simplify: Simplified to (sqrt n) 1540201945.085 * [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)))))) 1540201945.085 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201945.085 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.089 * * [misc]simplify: iters left: 5 (19 enodes) 1540201945.093 * * [misc]simplify: iters left: 4 (23 enodes) 1540201945.099 * * [misc]simplify: iters left: 3 (25 enodes) 1540201945.105 * [exit]simplify: Simplified to (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201945.105 * [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)))))) 1540201945.105 * * * * [misc]progress: [ 250 / 6878 ] simplifiying candidate # 1540201945.105 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540201945.105 * * [misc]simplify: iters left: 6 (13 enodes) 1540201945.109 * * [misc]simplify: iters left: 5 (21 enodes) 1540201945.115 * * [misc]simplify: iters left: 4 (28 enodes) 1540201945.121 * * [misc]simplify: iters left: 3 (34 enodes) 1540201945.129 * * [misc]simplify: iters left: 2 (41 enodes) 1540201945.139 * * [misc]simplify: iters left: 1 (57 enodes) 1540201945.155 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.155 * [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)))))) 1540201945.155 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201945.155 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.159 * * [misc]simplify: iters left: 5 (18 enodes) 1540201945.163 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.169 * * [misc]simplify: iters left: 3 (26 enodes) 1540201945.175 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.175 * [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)))))) 1540201945.175 * * * * [misc]progress: [ 251 / 6878 ] simplifiying candidate # 1540201945.175 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201945.175 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.180 * * [misc]simplify: iters left: 5 (18 enodes) 1540201945.184 * * [misc]simplify: iters left: 4 (22 enodes) 1540201945.189 * * [misc]simplify: iters left: 3 (25 enodes) 1540201945.193 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 1540201945.193 * [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)))))) 1540201945.193 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201945.193 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.195 * * [misc]simplify: iters left: 5 (18 enodes) 1540201945.197 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.200 * * [misc]simplify: iters left: 3 (26 enodes) 1540201945.203 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.203 * [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)))))) 1540201945.204 * * * * [misc]progress: [ 252 / 6878 ] simplifiying candidate # 1540201945.204 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) 1)) 1540201945.204 * * [misc]simplify: iters left: 5 (4 enodes) 1540201945.205 * * [misc]simplify: iters left: 4 (8 enodes) 1540201945.206 * [exit]simplify: Simplified to 1 1540201945.206 * [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)))))) 1540201945.206 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201945.206 * * [misc]simplify: iters left: 6 (13 enodes) 1540201945.208 * * [misc]simplify: iters left: 5 (17 enodes) 1540201945.210 * * [misc]simplify: iters left: 4 (23 enodes) 1540201945.213 * * [misc]simplify: iters left: 3 (25 enodes) 1540201945.216 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201945.216 * [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)))))) 1540201945.217 * * * * [misc]progress: [ 253 / 6878 ] simplifiying candidate # 1540201945.217 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201945.217 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.218 * * [misc]simplify: iters left: 5 (15 enodes) 1540201945.222 * * [misc]simplify: iters left: 4 (18 enodes) 1540201945.228 * * [misc]simplify: iters left: 3 (20 enodes) 1540201945.235 * * [misc]simplify: iters left: 2 (32 enodes) 1540201945.243 * * [misc]simplify: iters left: 1 (40 enodes) 1540201945.251 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt (sqrt k)))) 1540201945.251 * [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)))))) 1540201945.251 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201945.251 * * [misc]simplify: iters left: 6 (15 enodes) 1540201945.255 * * [misc]simplify: iters left: 5 (20 enodes) 1540201945.261 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.267 * * [misc]simplify: iters left: 3 (26 enodes) 1540201945.272 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540201945.272 * [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)))))) 1540201945.272 * * * * [misc]progress: [ 254 / 6878 ] simplifiying candidate # 1540201945.273 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540201945.273 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.275 * * [misc]simplify: iters left: 5 (15 enodes) 1540201945.279 * * [misc]simplify: iters left: 4 (18 enodes) 1540201945.283 * * [misc]simplify: iters left: 3 (20 enodes) 1540201945.288 * * [misc]simplify: iters left: 2 (32 enodes) 1540201945.297 * * [misc]simplify: iters left: 1 (40 enodes) 1540201945.304 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt (sqrt k)))) 1540201945.304 * [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)))))) 1540201945.305 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540201945.305 * * [misc]simplify: iters left: 6 (15 enodes) 1540201945.307 * * [misc]simplify: iters left: 5 (20 enodes) 1540201945.309 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.312 * * [misc]simplify: iters left: 3 (26 enodes) 1540201945.315 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540201945.315 * [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)))))) 1540201945.316 * * * * [misc]progress: [ 255 / 6878 ] simplifiying candidate # 1540201945.316 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540201945.316 * * [misc]simplify: iters left: 6 (15 enodes) 1540201945.318 * * [misc]simplify: iters left: 5 (23 enodes) 1540201945.321 * * [misc]simplify: iters left: 4 (31 enodes) 1540201945.325 * * [misc]simplify: iters left: 3 (42 enodes) 1540201945.331 * * [misc]simplify: iters left: 2 (68 enodes) 1540201945.341 * * [misc]simplify: iters left: 1 (117 enodes) 1540201945.368 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1540201945.368 * [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)))))) 1540201945.368 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201945.368 * * [misc]simplify: iters left: 6 (15 enodes) 1540201945.370 * * [misc]simplify: iters left: 5 (19 enodes) 1540201945.373 * * [misc]simplify: iters left: 4 (25 enodes) 1540201945.380 * * [misc]simplify: iters left: 3 (27 enodes) 1540201945.386 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.387 * [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)))))) 1540201945.387 * * * * [misc]progress: [ 256 / 6878 ] simplifiying candidate # 1540201945.387 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201945.387 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.391 * * [misc]simplify: iters left: 5 (20 enodes) 1540201945.396 * * [misc]simplify: iters left: 4 (26 enodes) 1540201945.403 * * [misc]simplify: iters left: 3 (34 enodes) 1540201945.410 * * [misc]simplify: iters left: 2 (42 enodes) 1540201945.414 * * [misc]simplify: iters left: 1 (52 enodes) 1540201945.422 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1540201945.422 * [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)))))) 1540201945.422 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201945.423 * * [misc]simplify: iters left: 6 (15 enodes) 1540201945.424 * * [misc]simplify: iters left: 5 (19 enodes) 1540201945.427 * * [misc]simplify: iters left: 4 (25 enodes) 1540201945.430 * * [misc]simplify: iters left: 3 (27 enodes) 1540201945.433 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.433 * [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)))))) 1540201945.433 * * * * [misc]progress: [ 257 / 6878 ] simplifiying candidate # 1540201945.433 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) 1)) 1540201945.434 * * [misc]simplify: iters left: 6 (7 enodes) 1540201945.435 * * [misc]simplify: iters left: 5 (11 enodes) 1540201945.436 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.438 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1540201945.438 * [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)))))) 1540201945.438 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540201945.438 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.440 * * [misc]simplify: iters left: 5 (18 enodes) 1540201945.442 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.445 * * [misc]simplify: iters left: 3 (26 enodes) 1540201945.449 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1540201945.449 * [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)))))) 1540201945.449 * * * * [misc]progress: [ 258 / 6878 ] simplifiying candidate # 1540201945.449 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n 1/2))) 1540201945.449 * * [misc]simplify: iters left: 5 (6 enodes) 1540201945.450 * * [misc]simplify: iters left: 4 (11 enodes) 1540201945.451 * * [misc]simplify: iters left: 3 (12 enodes) 1540201945.453 * * [misc]simplify: iters left: 2 (16 enodes) 1540201945.455 * [exit]simplify: Simplified to (sqrt n) 1540201945.455 * [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)))))) 1540201945.456 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201945.456 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.458 * * [misc]simplify: iters left: 5 (19 enodes) 1540201945.460 * * [misc]simplify: iters left: 4 (23 enodes) 1540201945.463 * * [misc]simplify: iters left: 3 (25 enodes) 1540201945.466 * [exit]simplify: Simplified to (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201945.466 * [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)))))) 1540201945.466 * * * * [misc]progress: [ 259 / 6878 ] simplifiying candidate # 1540201945.466 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n 1/2))) 1540201945.466 * * [misc]simplify: iters left: 5 (6 enodes) 1540201945.468 * * [misc]simplify: iters left: 4 (11 enodes) 1540201945.469 * * [misc]simplify: iters left: 3 (12 enodes) 1540201945.471 * * [misc]simplify: iters left: 2 (16 enodes) 1540201945.472 * [exit]simplify: Simplified to (sqrt n) 1540201945.472 * [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)))))) 1540201945.472 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540201945.472 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.474 * * [misc]simplify: iters left: 5 (19 enodes) 1540201945.477 * * [misc]simplify: iters left: 4 (23 enodes) 1540201945.479 * * [misc]simplify: iters left: 3 (25 enodes) 1540201945.483 * [exit]simplify: Simplified to (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201945.483 * [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)))))) 1540201945.483 * * * * [misc]progress: [ 260 / 6878 ] simplifiying candidate # 1540201945.483 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540201945.483 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.485 * * [misc]simplify: iters left: 5 (20 enodes) 1540201945.487 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.491 * * [misc]simplify: iters left: 3 (30 enodes) 1540201945.494 * * [misc]simplify: iters left: 2 (32 enodes) 1540201945.497 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.497 * [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)))))) 1540201945.497 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540201945.497 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.499 * * [misc]simplify: iters left: 5 (18 enodes) 1540201945.502 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.506 * * [misc]simplify: iters left: 3 (26 enodes) 1540201945.512 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.512 * [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)))))) 1540201945.512 * * * * [misc]progress: [ 261 / 6878 ] simplifiying candidate # 1540201945.512 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201945.513 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.516 * * [misc]simplify: iters left: 5 (17 enodes) 1540201945.520 * * [misc]simplify: iters left: 4 (21 enodes) 1540201945.526 * * [misc]simplify: iters left: 3 (25 enodes) 1540201945.531 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 1540201945.531 * [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)))))) 1540201945.532 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540201945.532 * * [misc]simplify: iters left: 6 (14 enodes) 1540201945.536 * * [misc]simplify: iters left: 5 (18 enodes) 1540201945.540 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.547 * * [misc]simplify: iters left: 3 (26 enodes) 1540201945.554 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.554 * [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)))))) 1540201945.554 * * * * [misc]progress: [ 262 / 6878 ] simplifiying candidate # 1540201945.554 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540201945.554 * * [misc]simplify: iters left: 4 (3 enodes) 1540201945.555 * * [misc]simplify: iters left: 3 (5 enodes) 1540201945.556 * [exit]simplify: Simplified to 1 1540201945.556 * [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)))))) 1540201945.556 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201945.556 * * [misc]simplify: iters left: 6 (13 enodes) 1540201945.559 * * [misc]simplify: iters left: 5 (17 enodes) 1540201945.564 * * [misc]simplify: iters left: 4 (23 enodes) 1540201945.570 * * [misc]simplify: iters left: 3 (25 enodes) 1540201945.576 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201945.576 * [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)))))) 1540201945.576 * * * * [misc]progress: [ 263 / 6878 ] simplifiying candidate # 1540201945.576 * [enter]simplify: Simplifying (/ 1 1) 1540201945.576 * * [misc]simplify: iters left: 2 (2 enodes) 1540201945.577 * * [misc]simplify: iters left: 1 (4 enodes) 1540201945.577 * [exit]simplify: Simplified to 1 1540201945.577 * [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)))))) 1540201945.578 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201945.578 * * [misc]simplify: iters left: 6 (13 enodes) 1540201945.581 * * [misc]simplify: iters left: 5 (17 enodes) 1540201945.586 * * [misc]simplify: iters left: 4 (23 enodes) 1540201945.591 * * [misc]simplify: iters left: 3 (25 enodes) 1540201945.597 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540201945.598 * [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)))))) 1540201945.598 * * * * [misc]progress: [ 264 / 6878 ] simplifiying candidate # 1540201945.598 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540201945.598 * * [misc]simplify: iters left: 4 (5 enodes) 1540201945.599 * * [misc]simplify: iters left: 3 (7 enodes) 1540201945.601 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540201945.601 * [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)))))) 1540201945.601 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540201945.601 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.605 * * [misc]simplify: iters left: 5 (18 enodes) 1540201945.609 * * [misc]simplify: iters left: 4 (24 enodes) 1540201945.616 * * [misc]simplify: iters left: 3 (34 enodes) 1540201945.624 * * [misc]simplify: iters left: 2 (36 enodes) 1540201945.630 * * [misc]simplify: iters left: 1 (41 enodes) 1540201945.638 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 1540201945.639 * [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)))))) 1540201945.639 * * * * [misc]progress: [ 265 / 6878 ] simplifiying candidate # 1540201945.639 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n 1/2))) 1540201945.639 * * [misc]simplify: iters left: 6 (9 enodes) 1540201945.641 * * [misc]simplify: iters left: 5 (14 enodes) 1540201945.645 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.648 * * [misc]simplify: iters left: 3 (19 enodes) 1540201945.651 * * [misc]simplify: iters left: 2 (31 enodes) 1540201945.655 * * [misc]simplify: iters left: 1 (39 enodes) 1540201945.659 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt k))) 1540201945.659 * [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)))))) 1540201945.659 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1540201945.659 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.660 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.662 * * [misc]simplify: iters left: 4 (15 enodes) 1540201945.664 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1540201945.664 * [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)))))) 1540201945.664 * * * * [misc]progress: [ 266 / 6878 ] simplifiying candidate # 1540201945.664 * * * * [misc]progress: [ 267 / 6878 ] simplifiying candidate # 1540201945.664 * * * * [misc]progress: [ 268 / 6878 ] simplifiying candidate # 1540201945.664 * * * * [misc]progress: [ 269 / 6878 ] simplifiying candidate # 1540201945.665 * [enter]simplify: Simplifying (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201945.665 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.667 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.669 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.671 * [exit]simplify: Simplified to (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201945.671 * [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)))))) 1540201945.671 * * * * [misc]progress: [ 270 / 6878 ] simplifiying candidate # 1540201945.671 * [enter]simplify: Simplifying (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201945.671 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.673 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.675 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.677 * [exit]simplify: Simplified to (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540201945.677 * [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)))))) 1540201945.677 * * * * [misc]progress: [ 271 / 6878 ] simplifiying candidate # 1540201945.677 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.677 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.679 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.680 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.680 * [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)))))) 1540201945.680 * * * * [misc]progress: [ 272 / 6878 ] simplifiying candidate # 1540201945.681 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.681 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.682 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.684 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.684 * [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)))))) 1540201945.684 * * * * [misc]progress: [ 273 / 6878 ] simplifiying candidate # 1540201945.684 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.684 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.686 * * [misc]simplify: iters left: 5 (14 enodes) 1540201945.687 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.689 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.690 * [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)))))) 1540201945.690 * * * * [misc]progress: [ 274 / 6878 ] simplifiying candidate # 1540201945.690 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.690 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.691 * * [misc]simplify: iters left: 5 (14 enodes) 1540201945.693 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.695 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.695 * [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)))))) 1540201945.695 * * * * [misc]progress: [ 275 / 6878 ] simplifiying candidate # 1540201945.696 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201945.696 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.697 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.699 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.701 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201945.701 * [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)))))) 1540201945.701 * * * * [misc]progress: [ 276 / 6878 ] simplifiying candidate # 1540201945.701 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.701 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.702 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.704 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.704 * [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)))))) 1540201945.704 * * * * [misc]progress: [ 277 / 6878 ] simplifiying candidate # 1540201945.704 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.704 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.705 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.707 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.707 * [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)))))) 1540201945.707 * * * * [misc]progress: [ 278 / 6878 ] simplifiying candidate # 1540201945.707 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.707 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.709 * * [misc]simplify: iters left: 5 (14 enodes) 1540201945.710 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.713 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.713 * [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)))))) 1540201945.713 * * * * [misc]progress: [ 279 / 6878 ] simplifiying candidate # 1540201945.713 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.713 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.714 * * [misc]simplify: iters left: 5 (14 enodes) 1540201945.716 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.718 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.719 * [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)))))) 1540201945.719 * * * * [misc]progress: [ 280 / 6878 ] simplifiying candidate # 1540201945.719 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201945.719 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.721 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.725 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.729 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201945.729 * [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)))))) 1540201945.729 * * * * [misc]progress: [ 281 / 6878 ] simplifiying candidate # 1540201945.729 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.729 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.731 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.733 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.733 * [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)))))) 1540201945.733 * * * * [misc]progress: [ 282 / 6878 ] simplifiying candidate # 1540201945.733 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.733 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.735 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.736 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.736 * [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)))))) 1540201945.736 * * * * [misc]progress: [ 283 / 6878 ] simplifiying candidate # 1540201945.736 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.736 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.738 * * [misc]simplify: iters left: 5 (14 enodes) 1540201945.740 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.742 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.742 * [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)))))) 1540201945.743 * * * * [misc]progress: [ 284 / 6878 ] simplifiying candidate # 1540201945.743 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.743 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.744 * * [misc]simplify: iters left: 5 (14 enodes) 1540201945.746 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.748 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.748 * [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)))))) 1540201945.748 * * * * [misc]progress: [ 285 / 6878 ] simplifiying candidate # 1540201945.748 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201945.749 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.750 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.752 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.754 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201945.754 * [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)))))) 1540201945.754 * * * * [misc]progress: [ 286 / 6878 ] simplifiying candidate # 1540201945.754 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))) 1540201945.754 * * [misc]simplify: iters left: 6 (9 enodes) 1540201945.755 * * [misc]simplify: iters left: 5 (11 enodes) 1540201945.756 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))) 1540201945.757 * [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)))))) 1540201945.757 * * * * [misc]progress: [ 287 / 6878 ] simplifiying candidate # 1540201945.757 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))) 1540201945.757 * * [misc]simplify: iters left: 6 (9 enodes) 1540201945.758 * * [misc]simplify: iters left: 5 (11 enodes) 1540201945.759 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))) 1540201945.759 * [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)))))) 1540201945.759 * * * * [misc]progress: [ 288 / 6878 ] simplifiying candidate # 1540201945.760 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.760 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.761 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.763 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.765 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.765 * [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)))))) 1540201945.765 * * * * [misc]progress: [ 289 / 6878 ] simplifiying candidate # 1540201945.765 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.765 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.766 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.768 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.770 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.770 * [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)))))) 1540201945.770 * * * * [misc]progress: [ 290 / 6878 ] simplifiying candidate # 1540201945.771 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540201945.771 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.772 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.773 * * [misc]simplify: iters left: 4 (15 enodes) 1540201945.775 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540201945.775 * [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)))))) 1540201945.775 * * * * [misc]progress: [ 291 / 6878 ] simplifiying candidate # 1540201945.776 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.776 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.777 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.779 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.779 * [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)))))) 1540201945.779 * * * * [misc]progress: [ 292 / 6878 ] simplifiying candidate # 1540201945.779 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.779 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.781 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.784 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540201945.784 * [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)))))) 1540201945.784 * * * * [misc]progress: [ 293 / 6878 ] simplifiying candidate # 1540201945.785 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.785 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.788 * * [misc]simplify: iters left: 5 (14 enodes) 1540201945.791 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.795 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.795 * [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)))))) 1540201945.796 * * * * [misc]progress: [ 294 / 6878 ] simplifiying candidate # 1540201945.796 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.796 * * [misc]simplify: iters left: 6 (12 enodes) 1540201945.799 * * [misc]simplify: iters left: 5 (14 enodes) 1540201945.802 * * [misc]simplify: iters left: 4 (17 enodes) 1540201945.806 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.806 * [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)))))) 1540201945.807 * * * * [misc]progress: [ 295 / 6878 ] simplifiying candidate # 1540201945.807 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201945.807 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.810 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.813 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.816 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540201945.816 * [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)))))) 1540201945.816 * * * * [misc]progress: [ 296 / 6878 ] simplifiying candidate # 1540201945.816 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))) 1540201945.816 * * [misc]simplify: iters left: 6 (9 enodes) 1540201945.817 * * [misc]simplify: iters left: 5 (11 enodes) 1540201945.819 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))) 1540201945.819 * [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)))))) 1540201945.819 * * * * [misc]progress: [ 297 / 6878 ] simplifiying candidate # 1540201945.819 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))) 1540201945.819 * * [misc]simplify: iters left: 6 (9 enodes) 1540201945.820 * * [misc]simplify: iters left: 5 (11 enodes) 1540201945.822 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))) 1540201945.822 * [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)))))) 1540201945.822 * * * * [misc]progress: [ 298 / 6878 ] simplifiying candidate # 1540201945.822 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.822 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.824 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.825 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.828 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540201945.828 * [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)))))) 1540201945.828 * * * * [misc]progress: [ 299 / 6878 ] simplifiying candidate # 1540201945.828 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.828 * * [misc]simplify: iters left: 6 (11 enodes) 1540201945.829 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.831 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.833 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540201945.833 * [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)))))) 1540201945.833 * * * * [misc]progress: [ 300 / 6878 ] simplifiying candidate # 1540201945.833 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540201945.833 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.835 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.836 * * [misc]simplify: iters left: 4 (15 enodes) 1540201945.838 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540201945.838 * [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)))))) 1540201945.838 * * * * [misc]progress: [ 301 / 6878 ] simplifiying candidate # 1540201945.838 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540201945.838 * * [misc]simplify: iters left: 6 (10 enodes) 1540201945.840 * * [misc]simplify: iters left: 5 (12 enodes) 1540201945.841 * * [misc]simplify: iters left: 4 (15 enodes) 1540201945.843 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540201945.843 * [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)))))) 1540201945.843 * * * * [misc]progress: [ 302 / 6878 ] simplifiying candidate # 1540201945.843 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1540201945.843 * * [misc]simplify: iters left: 6 (9 enodes) 1540201945.845 * * [misc]simplify: iters left: 5 (13 enodes) 1540201945.846 * * [misc]simplify: iters left: 4 (16 enodes) 1540201945.848 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1540201945.848 * [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)))))) 1540201945.848 * * * * [misc]progress: [ 303 / 6878 ] simplifiying candidate # 1540201945.848 * [enter]simplify: Simplifying (pow n (/ k 2)) 1540201945.848 * * [misc]simplify: iters left: 3 (5 enodes) 1540201945.849 * [exit]simplify: Simplified to (pow n (/ k 2)) 1540201945.849 * [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)))))) 1540201945.849 * * * * [misc]progress: [ 304 / 6878 ] simplifiying candidate # 1540201945.849 * [enter]simplify: Simplifying (pow PI 1/2) 1540201945.849 * * [misc]simplify: iters left: 1 (3 enodes) 1540201945.850 * [exit]simplify: Simplified to (sqrt PI) 1540201945.850 * [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)))))) 1540201945.850 * * * * [misc]progress: [ 305 / 6878 ] simplifiying candidate # 1540201945.850 * [enter]simplify: Simplifying (pow PI 1/2) 1540201945.850 * * [misc]simplify: iters left: 1 (3 enodes) 1540201945.850 * [exit]simplify: Simplified to (sqrt PI) 1540201945.850 * [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)))))) 1540201945.851 * * * * [misc]progress: [ 306 / 6878 ] simplifiying candidate # 1540201945.851 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201945.851 * * [misc]simplify: iters left: 6 (9 enodes) 1540201945.852 * * [misc]simplify: iters left: 5 (11 enodes) 1540201945.853 * * [misc]simplify: iters left: 4 (14 enodes) 1540201945.855 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540201945.855 * [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)))))) 1540201945.855 * * * * [misc]progress: [ 307 / 6878 ] simplifiying candidate # 1540201945.856 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1540201945.856 * * [misc]simplify: iters left: 6 (8 enodes) 1540201945.857 * * [misc]simplify: iters left: 5 (10 enodes) 1540201945.858 * * [misc]simplify: iters left: 4 (13 enodes) 1540201945.860 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540201945.860 * [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)))))) 1540201945.860 * * * * [misc]progress: [ 308 / 6878 ] simplifiying candidate # 1540201945.860 * * * * [misc]progress: [ 309 / 6878 ] simplifiying candidate # 1540201945.860 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540201945.860 * * [misc]simplify: iters left: 5 (7 enodes) 1540201945.861 * * [misc]simplify: iters left: 4 (9 enodes) 1540201945.862 * * [misc]simplify: iters left: 3 (12 enodes) 1540201945.864 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540201945.864 * [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)))))) 1540201945.864 * * * * [misc]progress: [ 310 / 6878 ] simplifiying candidate # 1540201945.864 * [enter]simplify: Simplifying (pow PI 1/2) 1540201945.864 * * [misc]simplify: iters left: 1 (3 enodes) 1540201945.864 * [exit]simplify: Simplified to (sqrt PI) 1540201945.864 * [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)))))) 1540201945.864 * * * * [misc]progress: [ 311 / 6878 ] simplifiying candidate # 1540201945.864 * * * * [misc]progress: [ 312 / 6878 ] simplifiying candidate # 1540201945.864 * * * * [misc]progress: [ 313 / 6878 ] simplifiying candidate # 1540201945.864 * * * * [misc]progress: [ 314 / 6878 ] simplifiying candidate # 1540201945.865 * [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))))) 1540201945.865 * * [misc]simplify: iters left: 6 (20 enodes) 1540201945.868 * * [misc]simplify: iters left: 5 (40 enodes) 1540201945.875 * * [misc]simplify: iters left: 4 (115 enodes) 1540201945.911 * * [misc]simplify: iters left: 3 (414 enodes) 1540201946.351 * [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))))) 1540201946.351 * [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))))))) 1540201946.352 * * * * [misc]progress: [ 315 / 6878 ] simplifiying candidate # 1540201946.352 * [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)))))) 1540201946.352 * * [misc]simplify: iters left: 6 (20 enodes) 1540201946.355 * * [misc]simplify: iters left: 5 (41 enodes) 1540201946.363 * * [misc]simplify: iters left: 4 (109 enodes) 1540201946.418 * * [misc]simplify: iters left: 3 (372 enodes) 1540201946.759 * [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))))) 1540201946.759 * [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))))))) 1540201946.759 * * * * [misc]progress: [ 316 / 6878 ] simplifiying candidate # 1540201946.759 * [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)))))) 1540201946.759 * * [misc]simplify: iters left: 6 (20 enodes) 1540201946.762 * * [misc]simplify: iters left: 5 (37 enodes) 1540201946.768 * * [misc]simplify: iters left: 4 (95 enodes) 1540201946.793 * * [misc]simplify: iters left: 3 (297 enodes) 1540201947.054 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (fma (+ (/ k 2) -1/2) (log 2) (log (sqrt (sqrt k))))) 1540201947.054 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (fma (+ (/ k 2) -1/2) (log 2) (log (sqrt (sqrt k))))))) 1540201947.055 * * * * [misc]progress: [ 317 / 6878 ] simplifiying candidate # 1540201947.055 * [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))))) 1540201947.055 * * [misc]simplify: iters left: 6 (20 enodes) 1540201947.062 * * [misc]simplify: iters left: 5 (41 enodes) 1540201947.076 * * [misc]simplify: iters left: 4 (109 enodes) 1540201947.138 * * [misc]simplify: iters left: 3 (362 enodes) 1540201947.485 * [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))))) 1540201947.485 * [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))))))) 1540201947.485 * * * * [misc]progress: [ 318 / 6878 ] simplifiying candidate # 1540201947.486 * [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)))))) 1540201947.486 * * [misc]simplify: iters left: 6 (20 enodes) 1540201947.492 * * [misc]simplify: iters left: 5 (42 enodes) 1540201947.505 * * [misc]simplify: iters left: 4 (103 enodes) 1540201947.557 * * [misc]simplify: iters left: 3 (319 enodes) 1540201947.837 * [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))))) 1540201947.837 * [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))))))) 1540201947.837 * * * * [misc]progress: [ 319 / 6878 ] simplifiying candidate # 1540201947.837 * [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)))))) 1540201947.837 * * [misc]simplify: iters left: 6 (20 enodes) 1540201947.840 * * [misc]simplify: iters left: 5 (38 enodes) 1540201947.846 * * [misc]simplify: iters left: 4 (89 enodes) 1540201947.866 * * [misc]simplify: iters left: 3 (248 enodes) 1540201947.971 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt (sqrt k))))) 1540201947.971 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt (sqrt k))))))) 1540201947.971 * * * * [misc]progress: [ 320 / 6878 ] simplifiying candidate # 1540201947.971 * [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))))) 1540201947.971 * * [misc]simplify: iters left: 6 (20 enodes) 1540201947.974 * * [misc]simplify: iters left: 5 (37 enodes) 1540201947.980 * * [misc]simplify: iters left: 4 (92 enodes) 1540201948.007 * * [misc]simplify: iters left: 3 (296 enodes) 1540201948.204 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log n) (log (sqrt (sqrt k))))) 1540201948.204 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log n) (log (sqrt (sqrt k))))))) 1540201948.204 * * * * [misc]progress: [ 321 / 6878 ] simplifiying candidate # 1540201948.204 * [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)))))) 1540201948.204 * * [misc]simplify: iters left: 6 (20 enodes) 1540201948.211 * * [misc]simplify: iters left: 5 (38 enodes) 1540201948.222 * * [misc]simplify: iters left: 4 (86 enodes) 1540201948.260 * * [misc]simplify: iters left: 3 (253 enodes) 1540201948.424 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log n) (log (sqrt (sqrt k))))) 1540201948.424 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log n) (log (sqrt (sqrt k))))))) 1540201948.424 * * * * [misc]progress: [ 322 / 6878 ] simplifiying candidate # 1540201948.425 * [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)))))) 1540201948.425 * * [misc]simplify: iters left: 6 (19 enodes) 1540201948.431 * * [misc]simplify: iters left: 5 (34 enodes) 1540201948.439 * * [misc]simplify: iters left: 4 (72 enodes) 1540201948.456 * * [misc]simplify: iters left: 3 (188 enodes) 1540201948.518 * * [misc]simplify: iters left: 2 (485 enodes) 1540201949.063 * [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))))) 1540201949.063 * [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))))))) 1540201949.063 * * * * [misc]progress: [ 323 / 6878 ] simplifiying candidate # 1540201949.063 * [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))))) 1540201949.063 * * [misc]simplify: iters left: 6 (20 enodes) 1540201949.070 * * [misc]simplify: iters left: 5 (40 enodes) 1540201949.084 * * [misc]simplify: iters left: 4 (108 enodes) 1540201949.148 * * [misc]simplify: iters left: 3 (366 enodes) 1540201949.922 * [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))))) 1540201949.922 * [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))))))) 1540201949.922 * * * * [misc]progress: [ 324 / 6878 ] simplifiying candidate # 1540201949.923 * [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)))))) 1540201949.923 * * [misc]simplify: iters left: 6 (20 enodes) 1540201949.930 * * [misc]simplify: iters left: 5 (41 enodes) 1540201949.944 * * [misc]simplify: iters left: 4 (102 enodes) 1540201949.996 * * [misc]simplify: iters left: 3 (324 enodes) 1540201950.311 * [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))))) 1540201950.311 * [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))))))) 1540201950.311 * * * * [misc]progress: [ 325 / 6878 ] simplifiying candidate # 1540201950.312 * [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)))))) 1540201950.312 * * [misc]simplify: iters left: 6 (20 enodes) 1540201950.318 * * [misc]simplify: iters left: 5 (37 enodes) 1540201950.330 * * [misc]simplify: iters left: 4 (88 enodes) 1540201950.371 * * [misc]simplify: iters left: 3 (257 enodes) 1540201950.586 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt (sqrt k))))) 1540201950.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log 2) (log (sqrt (sqrt k))))))) 1540201950.586 * * * * [misc]progress: [ 326 / 6878 ] simplifiying candidate # 1540201950.586 * [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))))) 1540201950.586 * * [misc]simplify: iters left: 6 (20 enodes) 1540201950.590 * * [misc]simplify: iters left: 5 (41 enodes) 1540201950.598 * * [misc]simplify: iters left: 4 (102 enodes) 1540201950.637 * * [misc]simplify: iters left: 3 (314 enodes) 1540201950.883 * [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))))) 1540201950.883 * [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))))))) 1540201950.883 * * * * [misc]progress: [ 327 / 6878 ] simplifiying candidate # 1540201950.884 * [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)))))) 1540201950.884 * * [misc]simplify: iters left: 6 (20 enodes) 1540201950.891 * * [misc]simplify: iters left: 5 (42 enodes) 1540201950.905 * * [misc]simplify: iters left: 4 (96 enodes) 1540201950.936 * * [misc]simplify: iters left: 3 (271 enodes) 1540201951.106 * [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))))) 1540201951.106 * [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))))))) 1540201951.106 * * * * [misc]progress: [ 328 / 6878 ] simplifiying candidate # 1540201951.107 * [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)))))) 1540201951.107 * * [misc]simplify: iters left: 6 (20 enodes) 1540201951.110 * * [misc]simplify: iters left: 5 (38 enodes) 1540201951.115 * * [misc]simplify: iters left: 4 (82 enodes) 1540201951.132 * * [misc]simplify: iters left: 3 (208 enodes) 1540201951.278 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (fma (+ (/ k 2) -1/2) (log 2) (log (sqrt (sqrt k))))) 1540201951.278 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (fma (+ (/ k 2) -1/2) (log 2) (log (sqrt (sqrt k))))))) 1540201951.278 * * * * [misc]progress: [ 329 / 6878 ] simplifiying candidate # 1540201951.279 * [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))))) 1540201951.279 * * [misc]simplify: iters left: 6 (20 enodes) 1540201951.285 * * [misc]simplify: iters left: 5 (37 enodes) 1540201951.296 * * [misc]simplify: iters left: 4 (86 enodes) 1540201951.333 * * [misc]simplify: iters left: 3 (252 enodes) 1540201951.541 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (fma (+ (/ k 2) -1/2) (log n) (log (sqrt (sqrt k))))) 1540201951.541 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (fma (+ (/ k 2) -1/2) (log n) (log (sqrt (sqrt k))))))) 1540201951.542 * * * * [misc]progress: [ 330 / 6878 ] simplifiying candidate # 1540201951.542 * [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)))))) 1540201951.542 * * [misc]simplify: iters left: 6 (20 enodes) 1540201951.548 * * [misc]simplify: iters left: 5 (38 enodes) 1540201951.560 * * [misc]simplify: iters left: 4 (80 enodes) 1540201951.596 * * [misc]simplify: iters left: 3 (209 enodes) 1540201951.718 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log n) (log (sqrt (sqrt k))))) 1540201951.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (fma (+ -1/2 (/ k 2)) (log n) (log (sqrt (sqrt k))))))) 1540201951.718 * * * * [misc]progress: [ 331 / 6878 ] simplifiying candidate # 1540201951.718 * [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)))))) 1540201951.718 * * [misc]simplify: iters left: 6 (19 enodes) 1540201951.723 * * [misc]simplify: iters left: 5 (34 enodes) 1540201951.733 * * [misc]simplify: iters left: 4 (66 enodes) 1540201951.751 * * [misc]simplify: iters left: 3 (151 enodes) 1540201951.818 * * [misc]simplify: iters left: 2 (414 enodes) 1540201952.197 * [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))))) 1540201952.197 * [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))))))) 1540201952.197 * * * * [misc]progress: [ 332 / 6878 ] simplifiying candidate # 1540201952.197 * [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))))) 1540201952.197 * * [misc]simplify: iters left: 6 (19 enodes) 1540201952.204 * * [misc]simplify: iters left: 5 (33 enodes) 1540201952.214 * * [misc]simplify: iters left: 4 (73 enodes) 1540201952.243 * * [misc]simplify: iters left: 3 (195 enodes) 1540201952.340 * [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))))) 1540201952.340 * [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))))))) 1540201952.341 * * * * [misc]progress: [ 333 / 6878 ] simplifiying candidate # 1540201952.341 * [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)))))) 1540201952.341 * * [misc]simplify: iters left: 6 (19 enodes) 1540201952.348 * * [misc]simplify: iters left: 5 (34 enodes) 1540201952.358 * * [misc]simplify: iters left: 4 (67 enodes) 1540201952.381 * * [misc]simplify: iters left: 3 (156 enodes) 1540201952.446 * * [misc]simplify: iters left: 2 (445 enodes) 1540201952.768 * [exit]simplify: Simplified to (- (fma (log 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log PI) (log n)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1540201952.768 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log 2) (- 1/2 (/ k 2)) (* (- 1/2 (/ k 2)) (+ (log PI) (log n)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 1540201952.768 * * * * [misc]progress: [ 334 / 6878 ] simplifiying candidate # 1540201952.768 * [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)))))) 1540201952.768 * * [misc]simplify: iters left: 6 (18 enodes) 1540201952.771 * * [misc]simplify: iters left: 5 (30 enodes) 1540201952.775 * * [misc]simplify: iters left: 4 (55 enodes) 1540201952.784 * * [misc]simplify: iters left: 3 (111 enodes) 1540201952.809 * * [misc]simplify: iters left: 2 (250 enodes) 1540201952.968 * [exit]simplify: Simplified to (- (+ (* (log 2) (- 1/2 (/ k 2))) (* (- 1/2 (/ k 2)) (+ (log n) (log PI)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1540201952.968 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log 2) (- 1/2 (/ k 2))) (* (- 1/2 (/ k 2)) (+ (log n) (log PI)))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 1540201952.968 * * * * [misc]progress: [ 335 / 6878 ] simplifiying candidate # 1540201952.968 * * * * [misc]progress: [ 336 / 6878 ] simplifiying candidate # 1540201952.968 * * * * [misc]progress: [ 337 / 6878 ] simplifiying candidate # 1540201952.969 * [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)))))) 1540201952.969 * * [misc]simplify: iters left: 6 (24 enodes) 1540201952.973 * * [misc]simplify: iters left: 5 (52 enodes) 1540201952.984 * * [misc]simplify: iters left: 4 (212 enodes) 1540201953.147 * [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))) 1540201953.147 * [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))))) 1540201953.147 * * * * [misc]progress: [ 338 / 6878 ] simplifiying candidate # 1540201953.147 * [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)))))) 1540201953.147 * * [misc]simplify: iters left: 6 (24 enodes) 1540201953.151 * * [misc]simplify: iters left: 5 (51 enodes) 1540201953.162 * * [misc]simplify: iters left: 4 (190 enodes) 1540201953.294 * [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)))))) 1540201953.294 * [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)))))))) 1540201953.295 * * * * [misc]progress: [ 339 / 6878 ] simplifiying candidate # 1540201953.295 * [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)))))) 1540201953.295 * * [misc]simplify: iters left: 6 (24 enodes) 1540201953.299 * * [misc]simplify: iters left: 5 (54 enodes) 1540201953.311 * * [misc]simplify: iters left: 4 (202 enodes) 1540201953.439 * [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)))))) 1540201953.440 * [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)))))))) 1540201953.440 * * * * [misc]progress: [ 340 / 6878 ] simplifiying candidate # 1540201953.440 * [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)))))) 1540201953.440 * * [misc]simplify: iters left: 6 (22 enodes) 1540201953.448 * * [misc]simplify: iters left: 5 (50 enodes) 1540201953.468 * * [misc]simplify: iters left: 4 (172 enodes) 1540201953.575 * [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))))))) 1540201953.575 * [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))))))))) 1540201953.575 * * * * [misc]progress: [ 341 / 6878 ] simplifiying candidate # 1540201953.576 * [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)))))) 1540201953.576 * * [misc]simplify: iters left: 6 (22 enodes) 1540201953.584 * * [misc]simplify: iters left: 5 (46 enodes) 1540201953.602 * * [misc]simplify: iters left: 4 (169 enodes) 1540201953.728 * [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)))))) 1540201953.728 * [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)))))))) 1540201953.728 * * * * [misc]progress: [ 342 / 6878 ] simplifiying candidate # 1540201953.728 * [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)))))) 1540201953.728 * * [misc]simplify: iters left: 6 (20 enodes) 1540201953.732 * * [misc]simplify: iters left: 5 (45 enodes) 1540201953.741 * * [misc]simplify: iters left: 4 (161 enodes) 1540201953.875 * [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) 1540201953.875 * [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))) 1540201953.875 * * * * [misc]progress: [ 343 / 6878 ] simplifiying candidate # 1540201953.875 * * * * [misc]progress: [ 344 / 6878 ] simplifiying candidate # 1540201953.876 * * * * [misc]progress: [ 345 / 6878 ] simplifiying candidate # 1540201953.876 * * * * [misc]progress: [ 346 / 6878 ] simplifiying candidate # 1540201953.876 * * * * [misc]progress: [ 347 / 6878 ] simplifiying candidate # 1540201953.876 * [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))))))) 1540201953.876 * * [misc]simplify: iters left: 6 (20 enodes) 1540201953.879 * * [misc]simplify: iters left: 5 (30 enodes) 1540201953.884 * * [misc]simplify: iters left: 4 (45 enodes) 1540201953.890 * * [misc]simplify: iters left: 3 (50 enodes) 1540201953.897 * * [misc]simplify: iters left: 2 (53 enodes) 1540201953.912 * [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))))))) 1540201953.912 * [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)))))))) 1540201953.912 * [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)))))) 1540201953.913 * * [misc]simplify: iters left: 6 (18 enodes) 1540201953.918 * * [misc]simplify: iters left: 5 (22 enodes) 1540201953.924 * * [misc]simplify: iters left: 4 (28 enodes) 1540201953.932 * * [misc]simplify: iters left: 3 (30 enodes) 1540201953.941 * [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)))))) 1540201953.941 * [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)))))))) 1540201953.941 * * * * [misc]progress: [ 348 / 6878 ] simplifiying candidate # 1540201953.941 * [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)))))) 1540201953.941 * * [misc]simplify: iters left: 6 (19 enodes) 1540201953.944 * * [misc]simplify: iters left: 5 (25 enodes) 1540201953.947 * * [misc]simplify: iters left: 4 (33 enodes) 1540201953.952 * * [misc]simplify: iters left: 3 (36 enodes) 1540201953.957 * [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))))) 1540201953.957 * [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)))) (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)))))))) 1540201953.957 * [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)))))) 1540201953.957 * * [misc]simplify: iters left: 6 (18 enodes) 1540201953.959 * * [misc]simplify: iters left: 5 (22 enodes) 1540201953.965 * * [misc]simplify: iters left: 4 (28 enodes) 1540201953.973 * * [misc]simplify: iters left: 3 (30 enodes) 1540201953.980 * [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)))))) 1540201953.980 * [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)))))))) 1540201953.980 * * * * [misc]progress: [ 349 / 6878 ] simplifiying candidate # 1540201953.981 * [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))) 1540201953.981 * * [misc]simplify: iters left: 6 (20 enodes) 1540201953.988 * * [misc]simplify: iters left: 5 (31 enodes) 1540201953.998 * * [misc]simplify: iters left: 4 (52 enodes) 1540201954.012 * * [misc]simplify: iters left: 3 (95 enodes) 1540201954.029 * * [misc]simplify: iters left: 2 (152 enodes) 1540201954.057 * * [misc]simplify: iters left: 1 (183 enodes) 1540201954.098 * [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)))))) 1540201954.098 * [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))))))) 1540201954.098 * [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))))) 1540201954.098 * * [misc]simplify: iters left: 6 (19 enodes) 1540201954.105 * * [misc]simplify: iters left: 5 (26 enodes) 1540201954.110 * * [misc]simplify: iters left: 4 (33 enodes) 1540201954.114 * * [misc]simplify: iters left: 3 (37 enodes) 1540201954.119 * [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))))) 1540201954.119 * [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))))))) 1540201954.119 * * * * [misc]progress: [ 350 / 6878 ] simplifiying candidate # 1540201954.119 * [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))) 1540201954.119 * * [misc]simplify: iters left: 6 (20 enodes) 1540201954.123 * * [misc]simplify: iters left: 5 (31 enodes) 1540201954.128 * * [misc]simplify: iters left: 4 (52 enodes) 1540201954.137 * * [misc]simplify: iters left: 3 (95 enodes) 1540201954.154 * * [misc]simplify: iters left: 2 (152 enodes) 1540201954.211 * * [misc]simplify: iters left: 1 (183 enodes) 1540201954.259 * [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)))))) 1540201954.259 * [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))))))) 1540201954.259 * [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))))) 1540201954.260 * * [misc]simplify: iters left: 6 (19 enodes) 1540201954.262 * * [misc]simplify: iters left: 5 (26 enodes) 1540201954.266 * * [misc]simplify: iters left: 4 (33 enodes) 1540201954.270 * * [misc]simplify: iters left: 3 (37 enodes) 1540201954.274 * [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))))) 1540201954.274 * [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 (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))))))) 1540201954.275 * * * * [misc]progress: [ 351 / 6878 ] simplifiying candidate # 1540201954.275 * [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))))))) 1540201954.275 * * [misc]simplify: iters left: 6 (22 enodes) 1540201954.282 * * [misc]simplify: iters left: 5 (36 enodes) 1540201954.295 * * [misc]simplify: iters left: 4 (73 enodes) 1540201954.319 * * [misc]simplify: iters left: 3 (146 enodes) 1540201954.378 * * [misc]simplify: iters left: 2 (277 enodes) 1540201954.507 * * [misc]simplify: iters left: 1 (400 enodes) 1540201954.674 * [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))))))) 1540201954.674 * [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)))))))) 1540201954.675 * [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)))))) 1540201954.675 * * [misc]simplify: iters left: 6 (19 enodes) 1540201954.680 * * [misc]simplify: iters left: 5 (25 enodes) 1540201954.688 * * [misc]simplify: iters left: 4 (34 enodes) 1540201954.697 * * [misc]simplify: iters left: 3 (38 enodes) 1540201954.707 * [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)))))) 1540201954.707 * [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)))))))) 1540201954.707 * * * * [misc]progress: [ 352 / 6878 ] simplifiying candidate # 1540201954.707 * [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)))))) 1540201954.707 * * [misc]simplify: iters left: 6 (21 enodes) 1540201954.714 * * [misc]simplify: iters left: 5 (31 enodes) 1540201954.723 * * [misc]simplify: iters left: 4 (52 enodes) 1540201954.737 * * [misc]simplify: iters left: 3 (95 enodes) 1540201954.755 * * [misc]simplify: iters left: 2 (152 enodes) 1540201954.783 * * [misc]simplify: iters left: 1 (181 enodes) 1540201954.849 * [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)))))) 1540201954.849 * [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)))))))) 1540201954.849 * [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)))))) 1540201954.850 * * [misc]simplify: iters left: 6 (19 enodes) 1540201954.855 * * [misc]simplify: iters left: 5 (25 enodes) 1540201954.862 * * [misc]simplify: iters left: 4 (34 enodes) 1540201954.871 * * [misc]simplify: iters left: 3 (38 enodes) 1540201954.881 * [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)))))) 1540201954.881 * [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)))))))) 1540201954.881 * * * * [misc]progress: [ 353 / 6878 ] simplifiying candidate # 1540201954.881 * [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)) 1540201954.881 * * [misc]simplify: iters left: 6 (20 enodes) 1540201954.887 * * [misc]simplify: iters left: 5 (32 enodes) 1540201954.898 * * [misc]simplify: iters left: 4 (56 enodes) 1540201954.907 * * [misc]simplify: iters left: 3 (101 enodes) 1540201954.927 * * [misc]simplify: iters left: 2 (279 enodes) 1540201955.076 * [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))))) 1540201955.076 * [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))))))) 1540201955.076 * [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))))) 1540201955.076 * * [misc]simplify: iters left: 6 (18 enodes) 1540201955.079 * * [misc]simplify: iters left: 5 (24 enodes) 1540201955.085 * * [misc]simplify: iters left: 4 (33 enodes) 1540201955.094 * * [misc]simplify: iters left: 3 (37 enodes) 1540201955.104 * [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))))) 1540201955.104 * [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))))))) 1540201955.104 * * * * [misc]progress: [ 354 / 6878 ] simplifiying candidate # 1540201955.105 * [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))) 1540201955.105 * * [misc]simplify: iters left: 6 (21 enodes) 1540201955.113 * * [misc]simplify: iters left: 5 (31 enodes) 1540201955.123 * * [misc]simplify: iters left: 4 (44 enodes) 1540201955.138 * * [misc]simplify: iters left: 3 (58 enodes) 1540201955.145 * * [misc]simplify: iters left: 2 (70 enodes) 1540201955.155 * * [misc]simplify: iters left: 1 (76 enodes) 1540201955.168 * [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)))))))) 1540201955.168 * [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))))))) 1540201955.169 * [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))))) 1540201955.169 * * [misc]simplify: iters left: 6 (20 enodes) 1540201955.175 * * [misc]simplify: iters left: 5 (27 enodes) 1540201955.182 * * [misc]simplify: iters left: 4 (34 enodes) 1540201955.192 * * [misc]simplify: iters left: 3 (38 enodes) 1540201955.202 * [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))))) 1540201955.202 * [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))))))) 1540201955.202 * * * * [misc]progress: [ 355 / 6878 ] simplifiying candidate # 1540201955.202 * [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))) 1540201955.203 * * [misc]simplify: iters left: 6 (21 enodes) 1540201955.210 * * [misc]simplify: iters left: 5 (31 enodes) 1540201955.220 * * [misc]simplify: iters left: 4 (44 enodes) 1540201955.234 * * [misc]simplify: iters left: 3 (58 enodes) 1540201955.250 * * [misc]simplify: iters left: 2 (70 enodes) 1540201955.271 * * [misc]simplify: iters left: 1 (76 enodes) 1540201955.293 * [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)))))))) 1540201955.293 * [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))))))) 1540201955.293 * [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))))) 1540201955.294 * * [misc]simplify: iters left: 6 (20 enodes) 1540201955.299 * * [misc]simplify: iters left: 5 (27 enodes) 1540201955.307 * * [misc]simplify: iters left: 4 (34 enodes) 1540201955.315 * * [misc]simplify: iters left: 3 (38 enodes) 1540201955.325 * [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))))) 1540201955.325 * [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))))))) 1540201955.325 * * * * [misc]progress: [ 356 / 6878 ] simplifiying candidate # 1540201955.326 * [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))))))) 1540201955.326 * * [misc]simplify: iters left: 6 (23 enodes) 1540201955.333 * * [misc]simplify: iters left: 5 (34 enodes) 1540201955.342 * * [misc]simplify: iters left: 4 (51 enodes) 1540201955.357 * * [misc]simplify: iters left: 3 (79 enodes) 1540201955.381 * * [misc]simplify: iters left: 2 (118 enodes) 1540201955.418 * * [misc]simplify: iters left: 1 (149 enodes) 1540201955.442 * [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))))))) 1540201955.442 * [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)))))))) 1540201955.442 * [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)))))) 1540201955.443 * * [misc]simplify: iters left: 6 (20 enodes) 1540201955.445 * * [misc]simplify: iters left: 5 (26 enodes) 1540201955.449 * * [misc]simplify: iters left: 4 (35 enodes) 1540201955.453 * * [misc]simplify: iters left: 3 (39 enodes) 1540201955.458 * [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)))))) 1540201955.458 * [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)))))))) 1540201955.458 * * * * [misc]progress: [ 357 / 6878 ] simplifiying candidate # 1540201955.458 * [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)))))) 1540201955.459 * * [misc]simplify: iters left: 6 (22 enodes) 1540201955.462 * * [misc]simplify: iters left: 5 (31 enodes) 1540201955.466 * * [misc]simplify: iters left: 4 (44 enodes) 1540201955.473 * * [misc]simplify: iters left: 3 (58 enodes) 1540201955.480 * * [misc]simplify: iters left: 2 (70 enodes) 1540201955.489 * * [misc]simplify: iters left: 1 (76 enodes) 1540201955.499 * [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))))) 1540201955.499 * [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)))))))) 1540201955.500 * [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)))))) 1540201955.500 * * [misc]simplify: iters left: 6 (20 enodes) 1540201955.502 * * [misc]simplify: iters left: 5 (26 enodes) 1540201955.506 * * [misc]simplify: iters left: 4 (35 enodes) 1540201955.510 * * [misc]simplify: iters left: 3 (39 enodes) 1540201955.515 * [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)))))) 1540201955.515 * [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)))))))) 1540201955.515 * * * * [misc]progress: [ 358 / 6878 ] simplifiying candidate # 1540201955.515 * [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)) 1540201955.515 * * [misc]simplify: iters left: 6 (21 enodes) 1540201955.518 * * [misc]simplify: iters left: 5 (31 enodes) 1540201955.523 * * [misc]simplify: iters left: 4 (44 enodes) 1540201955.530 * * [misc]simplify: iters left: 3 (61 enodes) 1540201955.546 * * [misc]simplify: iters left: 2 (71 enodes) 1540201955.563 * * [misc]simplify: iters left: 1 (74 enodes) 1540201955.571 * [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)))))) 1540201955.571 * [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))))))) 1540201955.571 * [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))))) 1540201955.571 * * [misc]simplify: iters left: 6 (19 enodes) 1540201955.574 * * [misc]simplify: iters left: 5 (25 enodes) 1540201955.577 * * [misc]simplify: iters left: 4 (34 enodes) 1540201955.582 * * [misc]simplify: iters left: 3 (38 enodes) 1540201955.587 * [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))))) 1540201955.587 * [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))))))) 1540201955.587 * * * * [misc]progress: [ 359 / 6878 ] simplifiying candidate # 1540201955.587 * [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))) 1540201955.587 * * [misc]simplify: iters left: 6 (19 enodes) 1540201955.591 * * [misc]simplify: iters left: 5 (28 enodes) 1540201955.595 * * [misc]simplify: iters left: 4 (41 enodes) 1540201955.601 * * [misc]simplify: iters left: 3 (55 enodes) 1540201955.608 * * [misc]simplify: iters left: 2 (67 enodes) 1540201955.617 * * [misc]simplify: iters left: 1 (73 enodes) 1540201955.628 * [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))))) 1540201955.628 * [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))))))) 1540201955.628 * [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))))) 1540201955.628 * * [misc]simplify: iters left: 6 (19 enodes) 1540201955.632 * * [misc]simplify: iters left: 5 (26 enodes) 1540201955.635 * * [misc]simplify: iters left: 4 (33 enodes) 1540201955.640 * * [misc]simplify: iters left: 3 (37 enodes) 1540201955.645 * [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))))) 1540201955.645 * [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))))))) 1540201955.645 * * * * [misc]progress: [ 360 / 6878 ] simplifiying candidate # 1540201955.646 * [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))) 1540201955.646 * * [misc]simplify: iters left: 6 (19 enodes) 1540201955.653 * * [misc]simplify: iters left: 5 (28 enodes) 1540201955.664 * * [misc]simplify: iters left: 4 (41 enodes) 1540201955.674 * * [misc]simplify: iters left: 3 (55 enodes) 1540201955.681 * * [misc]simplify: iters left: 2 (67 enodes) 1540201955.690 * * [misc]simplify: iters left: 1 (73 enodes) 1540201955.701 * [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))))) 1540201955.701 * [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))))))) 1540201955.701 * [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))))) 1540201955.701 * * [misc]simplify: iters left: 6 (19 enodes) 1540201955.705 * * [misc]simplify: iters left: 5 (26 enodes) 1540201955.712 * * [misc]simplify: iters left: 4 (33 enodes) 1540201955.720 * * [misc]simplify: iters left: 3 (37 enodes) 1540201955.730 * [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 (- (/ k 2))))) 1540201955.730 * [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))))))) 1540201955.730 * * * * [misc]progress: [ 361 / 6878 ] simplifiying candidate # 1540201955.730 * [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))))))) 1540201955.731 * * [misc]simplify: iters left: 6 (21 enodes) 1540201955.739 * * [misc]simplify: iters left: 5 (31 enodes) 1540201955.743 * * [misc]simplify: iters left: 4 (48 enodes) 1540201955.750 * * [misc]simplify: iters left: 3 (76 enodes) 1540201955.761 * * [misc]simplify: iters left: 2 (115 enodes) 1540201955.788 * * [misc]simplify: iters left: 1 (146 enodes) 1540201955.813 * [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))))) 1540201955.813 * [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)))))))) 1540201955.814 * [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)))))) 1540201955.814 * * [misc]simplify: iters left: 6 (19 enodes) 1540201955.820 * * [misc]simplify: iters left: 5 (25 enodes) 1540201955.827 * * [misc]simplify: iters left: 4 (34 enodes) 1540201955.836 * * [misc]simplify: iters left: 3 (38 enodes) 1540201955.845 * [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)))))) 1540201955.845 * [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)))))))) 1540201955.846 * * * * [misc]progress: [ 362 / 6878 ] simplifiying candidate # 1540201955.846 * [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)))))) 1540201955.846 * * [misc]simplify: iters left: 6 (20 enodes) 1540201955.852 * * [misc]simplify: iters left: 5 (28 enodes) 1540201955.860 * * [misc]simplify: iters left: 4 (41 enodes) 1540201955.871 * * [misc]simplify: iters left: 3 (55 enodes) 1540201955.885 * * [misc]simplify: iters left: 2 (67 enodes) 1540201955.894 * * [misc]simplify: iters left: 1 (73 enodes) 1540201955.904 * [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))))) 1540201955.904 * [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)))))))) 1540201955.904 * [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)))))) 1540201955.904 * * [misc]simplify: iters left: 6 (19 enodes) 1540201955.907 * * [misc]simplify: iters left: 5 (25 enodes) 1540201955.910 * * [misc]simplify: iters left: 4 (34 enodes) 1540201955.914 * * [misc]simplify: iters left: 3 (38 enodes) 1540201955.920 * [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)))))) 1540201955.920 * [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)))))))) 1540201955.920 * * * * [misc]progress: [ 363 / 6878 ] simplifiying candidate # 1540201955.921 * [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)) 1540201955.921 * * [misc]simplify: iters left: 6 (19 enodes) 1540201955.926 * * [misc]simplify: iters left: 5 (29 enodes) 1540201955.935 * * [misc]simplify: iters left: 4 (43 enodes) 1540201955.945 * * [misc]simplify: iters left: 3 (56 enodes) 1540201955.957 * * [misc]simplify: iters left: 2 (57 enodes) 1540201955.967 * * [misc]simplify: iters left: 1 (63 enodes) 1540201955.980 * [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)))))) 1540201955.980 * [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))))))) 1540201955.980 * [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))))) 1540201955.980 * * [misc]simplify: iters left: 6 (18 enodes) 1540201955.983 * * [misc]simplify: iters left: 5 (24 enodes) 1540201955.986 * * [misc]simplify: iters left: 4 (33 enodes) 1540201955.990 * * [misc]simplify: iters left: 3 (37 enodes) 1540201955.995 * [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))))) 1540201955.995 * [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))))))) 1540201955.995 * * * * [misc]progress: [ 364 / 6878 ] simplifiying candidate # 1540201955.995 * [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))) 1540201955.995 * * [misc]simplify: iters left: 6 (20 enodes) 1540201955.999 * * [misc]simplify: iters left: 5 (31 enodes) 1540201956.004 * * [misc]simplify: iters left: 4 (44 enodes) 1540201956.013 * * [misc]simplify: iters left: 3 (61 enodes) 1540201956.032 * * [misc]simplify: iters left: 2 (88 enodes) 1540201956.053 * * [misc]simplify: iters left: 1 (167 enodes) 1540201956.096 * [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)) 1540201956.096 * [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))))))) 1540201956.097 * [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))))) 1540201956.097 * * [misc]simplify: iters left: 6 (18 enodes) 1540201956.099 * * [misc]simplify: iters left: 5 (25 enodes) 1540201956.103 * * [misc]simplify: iters left: 4 (32 enodes) 1540201956.107 * * [misc]simplify: iters left: 3 (36 enodes) 1540201956.113 * [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)))) 1540201956.113 * [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)))))) 1540201956.113 * * * * [misc]progress: [ 365 / 6878 ] simplifiying candidate # 1540201956.113 * [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))) 1540201956.113 * * [misc]simplify: iters left: 6 (20 enodes) 1540201956.117 * * [misc]simplify: iters left: 5 (31 enodes) 1540201956.122 * * [misc]simplify: iters left: 4 (44 enodes) 1540201956.129 * * [misc]simplify: iters left: 3 (61 enodes) 1540201956.147 * * [misc]simplify: iters left: 2 (88 enodes) 1540201956.176 * * [misc]simplify: iters left: 1 (167 enodes) 1540201956.218 * [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)) 1540201956.218 * [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))))))) 1540201956.218 * [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))))) 1540201956.218 * * [misc]simplify: iters left: 6 (18 enodes) 1540201956.223 * * [misc]simplify: iters left: 5 (25 enodes) 1540201956.230 * * [misc]simplify: iters left: 4 (32 enodes) 1540201956.239 * * [misc]simplify: iters left: 3 (36 enodes) 1540201956.249 * [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)))) 1540201956.249 * [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)))))) 1540201956.249 * * * * [misc]progress: [ 366 / 6878 ] simplifiying candidate # 1540201956.249 * [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))))))) 1540201956.250 * * [misc]simplify: iters left: 6 (22 enodes) 1540201956.254 * * [misc]simplify: iters left: 5 (34 enodes) 1540201956.259 * * [misc]simplify: iters left: 4 (52 enodes) 1540201956.266 * * [misc]simplify: iters left: 3 (81 enodes) 1540201956.284 * * [misc]simplify: iters left: 2 (165 enodes) 1540201956.351 * * [misc]simplify: iters left: 1 (399 enodes) 1540201956.729 * [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)))))) 1540201956.729 * [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)))))))) 1540201956.729 * [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)))))) 1540201956.730 * * [misc]simplify: iters left: 6 (18 enodes) 1540201956.732 * * [misc]simplify: iters left: 5 (24 enodes) 1540201956.735 * * [misc]simplify: iters left: 4 (33 enodes) 1540201956.739 * * [misc]simplify: iters left: 3 (37 enodes) 1540201956.744 * [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)))))) 1540201956.744 * [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)))))))) 1540201956.744 * * * * [misc]progress: [ 367 / 6878 ] simplifiying candidate # 1540201956.744 * [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)))))) 1540201956.745 * * [misc]simplify: iters left: 6 (21 enodes) 1540201956.748 * * [misc]simplify: iters left: 5 (31 enodes) 1540201956.752 * * [misc]simplify: iters left: 4 (44 enodes) 1540201956.758 * * [misc]simplify: iters left: 3 (61 enodes) 1540201956.775 * * [misc]simplify: iters left: 2 (114 enodes) 1540201956.827 * * [misc]simplify: iters left: 1 (266 enodes) 1540201956.967 * [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))))))) 1540201956.967 * [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)))))))) 1540201956.967 * [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)))))) 1540201956.967 * * [misc]simplify: iters left: 6 (18 enodes) 1540201956.973 * * [misc]simplify: iters left: 5 (24 enodes) 1540201956.980 * * [misc]simplify: iters left: 4 (33 enodes) 1540201956.988 * * [misc]simplify: iters left: 3 (37 enodes) 1540201956.998 * [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)))))) 1540201956.998 * [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)))))))) 1540201956.998 * * * * [misc]progress: [ 368 / 6878 ] simplifiying candidate # 1540201956.999 * [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)) 1540201956.999 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.006 * * [misc]simplify: iters left: 5 (29 enodes) 1540201957.013 * * [misc]simplify: iters left: 4 (35 enodes) 1540201957.022 * * [misc]simplify: iters left: 3 (46 enodes) 1540201957.034 * * [misc]simplify: iters left: 2 (51 enodes) 1540201957.044 * * [misc]simplify: iters left: 1 (62 enodes) 1540201957.055 * [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))))) 1540201957.055 * [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))))))) 1540201957.055 * [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))))) 1540201957.055 * * [misc]simplify: iters left: 6 (17 enodes) 1540201957.057 * * [misc]simplify: iters left: 5 (23 enodes) 1540201957.060 * * [misc]simplify: iters left: 4 (32 enodes) 1540201957.065 * * [misc]simplify: iters left: 3 (36 enodes) 1540201957.069 * [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))))) 1540201957.069 * [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))))))) 1540201957.069 * * * * [misc]progress: [ 369 / 6878 ] simplifiying candidate # 1540201957.069 * [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 (sqrt (sqrt k))) (pow 2 1/2))) 1540201957.070 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.075 * * [misc]simplify: iters left: 5 (28 enodes) 1540201957.084 * * [misc]simplify: iters left: 4 (41 enodes) 1540201957.097 * * [misc]simplify: iters left: 3 (55 enodes) 1540201957.112 * * [misc]simplify: iters left: 2 (67 enodes) 1540201957.130 * * [misc]simplify: iters left: 1 (73 enodes) 1540201957.152 * [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))))) 1540201957.152 * [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))))))) 1540201957.152 * [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))))) 1540201957.152 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.158 * * [misc]simplify: iters left: 5 (26 enodes) 1540201957.165 * * [misc]simplify: iters left: 4 (33 enodes) 1540201957.175 * * [misc]simplify: iters left: 3 (37 enodes) 1540201957.185 * [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))))) 1540201957.185 * [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))))))) 1540201957.185 * * * * [misc]progress: [ 370 / 6878 ] simplifiying candidate # 1540201957.186 * [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))) 1540201957.186 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.193 * * [misc]simplify: iters left: 5 (28 enodes) 1540201957.201 * * [misc]simplify: iters left: 4 (41 enodes) 1540201957.214 * * [misc]simplify: iters left: 3 (55 enodes) 1540201957.226 * * [misc]simplify: iters left: 2 (67 enodes) 1540201957.235 * * [misc]simplify: iters left: 1 (73 enodes) 1540201957.253 * [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))))) 1540201957.253 * [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))))))) 1540201957.253 * [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))))) 1540201957.253 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.259 * * [misc]simplify: iters left: 5 (26 enodes) 1540201957.266 * * [misc]simplify: iters left: 4 (33 enodes) 1540201957.275 * * [misc]simplify: iters left: 3 (37 enodes) 1540201957.284 * [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))))) 1540201957.284 * [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))))))) 1540201957.285 * * * * [misc]progress: [ 371 / 6878 ] simplifiying candidate # 1540201957.285 * [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))))))) 1540201957.285 * * [misc]simplify: iters left: 6 (21 enodes) 1540201957.292 * * [misc]simplify: iters left: 5 (31 enodes) 1540201957.302 * * [misc]simplify: iters left: 4 (48 enodes) 1540201957.316 * * [misc]simplify: iters left: 3 (76 enodes) 1540201957.331 * * [misc]simplify: iters left: 2 (115 enodes) 1540201957.350 * * [misc]simplify: iters left: 1 (146 enodes) 1540201957.387 * [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))))) 1540201957.387 * [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)))))))) 1540201957.388 * [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)))))) 1540201957.388 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.390 * * [misc]simplify: iters left: 5 (25 enodes) 1540201957.395 * * [misc]simplify: iters left: 4 (34 enodes) 1540201957.399 * * [misc]simplify: iters left: 3 (38 enodes) 1540201957.404 * [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)))))) 1540201957.404 * [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)))))))) 1540201957.404 * * * * [misc]progress: [ 372 / 6878 ] simplifiying candidate # 1540201957.404 * [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)))))) 1540201957.404 * * [misc]simplify: iters left: 6 (20 enodes) 1540201957.407 * * [misc]simplify: iters left: 5 (28 enodes) 1540201957.411 * * [misc]simplify: iters left: 4 (41 enodes) 1540201957.417 * * [misc]simplify: iters left: 3 (55 enodes) 1540201957.432 * * [misc]simplify: iters left: 2 (67 enodes) 1540201957.450 * * [misc]simplify: iters left: 1 (73 enodes) 1540201957.461 * [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))))) 1540201957.461 * [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)))))))) 1540201957.461 * [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)))))) 1540201957.461 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.463 * * [misc]simplify: iters left: 5 (25 enodes) 1540201957.467 * * [misc]simplify: iters left: 4 (34 enodes) 1540201957.471 * * [misc]simplify: iters left: 3 (38 enodes) 1540201957.476 * [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)))))) 1540201957.476 * [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)))))))) 1540201957.476 * * * * [misc]progress: [ 373 / 6878 ] simplifiying candidate # 1540201957.476 * [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)) 1540201957.476 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.480 * * [misc]simplify: iters left: 5 (29 enodes) 1540201957.484 * * [misc]simplify: iters left: 4 (43 enodes) 1540201957.489 * * [misc]simplify: iters left: 3 (56 enodes) 1540201957.495 * * [misc]simplify: iters left: 2 (57 enodes) 1540201957.501 * * [misc]simplify: iters left: 1 (63 enodes) 1540201957.508 * [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)))))) 1540201957.508 * [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))))))) 1540201957.508 * [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))))) 1540201957.508 * * [misc]simplify: iters left: 6 (18 enodes) 1540201957.510 * * [misc]simplify: iters left: 5 (24 enodes) 1540201957.514 * * [misc]simplify: iters left: 4 (33 enodes) 1540201957.518 * * [misc]simplify: iters left: 3 (37 enodes) 1540201957.523 * [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))))) 1540201957.523 * [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))))))) 1540201957.523 * * * * [misc]progress: [ 374 / 6878 ] simplifiying candidate # 1540201957.523 * [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))) 1540201957.523 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.526 * * [misc]simplify: iters left: 5 (30 enodes) 1540201957.531 * * [misc]simplify: iters left: 4 (43 enodes) 1540201957.538 * * [misc]simplify: iters left: 3 (60 enodes) 1540201957.548 * * [misc]simplify: iters left: 2 (108 enodes) 1540201957.582 * * [misc]simplify: iters left: 1 (253 enodes) 1540201957.677 * [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)))))) 1540201957.677 * [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))))))) 1540201957.678 * [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))))) 1540201957.678 * * [misc]simplify: iters left: 6 (18 enodes) 1540201957.683 * * [misc]simplify: iters left: 5 (25 enodes) 1540201957.690 * * [misc]simplify: iters left: 4 (32 enodes) 1540201957.698 * * [misc]simplify: iters left: 3 (36 enodes) 1540201957.703 * [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)))) 1540201957.703 * [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)))))) 1540201957.704 * * * * [misc]progress: [ 375 / 6878 ] simplifiying candidate # 1540201957.704 * [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))) 1540201957.704 * * [misc]simplify: iters left: 6 (19 enodes) 1540201957.707 * * [misc]simplify: iters left: 5 (30 enodes) 1540201957.712 * * [misc]simplify: iters left: 4 (43 enodes) 1540201957.718 * * [misc]simplify: iters left: 3 (60 enodes) 1540201957.727 * * [misc]simplify: iters left: 2 (108 enodes) 1540201957.771 * * [misc]simplify: iters left: 1 (253 enodes) 1540201957.850 * [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)))))) 1540201957.850 * [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))))))) 1540201957.851 * [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))))) 1540201957.851 * * [misc]simplify: iters left: 6 (18 enodes) 1540201957.853 * * [misc]simplify: iters left: 5 (25 enodes) 1540201957.856 * * [misc]simplify: iters left: 4 (32 enodes) 1540201957.861 * * [misc]simplify: iters left: 3 (36 enodes) 1540201957.865 * [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)))) 1540201957.865 * [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)))))) 1540201957.865 * * * * [misc]progress: [ 376 / 6878 ] simplifiying candidate # 1540201957.865 * [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))))))) 1540201957.865 * * [misc]simplify: iters left: 6 (21 enodes) 1540201957.868 * * [misc]simplify: iters left: 5 (33 enodes) 1540201957.873 * * [misc]simplify: iters left: 4 (50 enodes) 1540201957.880 * * [misc]simplify: iters left: 3 (79 enodes) 1540201957.896 * * [misc]simplify: iters left: 2 (189 enodes) 1540201958.034 * [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)))))) 1540201958.034 * [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)))))))) 1540201958.034 * [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)))))) 1540201958.035 * * [misc]simplify: iters left: 6 (18 enodes) 1540201958.040 * * [misc]simplify: iters left: 5 (24 enodes) 1540201958.047 * * [misc]simplify: iters left: 4 (33 enodes) 1540201958.055 * * [misc]simplify: iters left: 3 (37 enodes) 1540201958.065 * [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)))))) 1540201958.065 * [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)))))))) 1540201958.065 * * * * [misc]progress: [ 377 / 6878 ] simplifiying candidate # 1540201958.066 * [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)))))) 1540201958.066 * * [misc]simplify: iters left: 6 (20 enodes) 1540201958.072 * * [misc]simplify: iters left: 5 (30 enodes) 1540201958.080 * * [misc]simplify: iters left: 4 (43 enodes) 1540201958.092 * * [misc]simplify: iters left: 3 (60 enodes) 1540201958.109 * * [misc]simplify: iters left: 2 (83 enodes) 1540201958.128 * * [misc]simplify: iters left: 1 (144 enodes) 1540201958.168 * [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))))) 1540201958.169 * [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)))))))) 1540201958.169 * [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)))))) 1540201958.169 * * [misc]simplify: iters left: 6 (18 enodes) 1540201958.174 * * [misc]simplify: iters left: 5 (24 enodes) 1540201958.180 * * [misc]simplify: iters left: 4 (33 enodes) 1540201958.184 * * [misc]simplify: iters left: 3 (37 enodes) 1540201958.189 * [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)))))) 1540201958.189 * [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)))))))) 1540201958.189 * * * * [misc]progress: [ 378 / 6878 ] simplifiying candidate # 1540201958.189 * [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)) 1540201958.189 * * [misc]simplify: iters left: 6 (18 enodes) 1540201958.192 * * [misc]simplify: iters left: 5 (26 enodes) 1540201958.195 * * [misc]simplify: iters left: 4 (32 enodes) 1540201958.199 * * [misc]simplify: iters left: 3 (42 enodes) 1540201958.205 * * [misc]simplify: iters left: 2 (44 enodes) 1540201958.212 * * [misc]simplify: iters left: 1 (51 enodes) 1540201958.224 * [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))))) 1540201958.225 * [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))))))) 1540201958.225 * [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))))) 1540201958.225 * * [misc]simplify: iters left: 6 (17 enodes) 1540201958.230 * * [misc]simplify: iters left: 5 (23 enodes) 1540201958.237 * * [misc]simplify: iters left: 4 (32 enodes) 1540201958.245 * * [misc]simplify: iters left: 3 (36 enodes) 1540201958.255 * [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))))) 1540201958.255 * [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))))))) 1540201958.255 * * * * [misc]progress: [ 379 / 6878 ] simplifiying candidate # 1540201958.255 * [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) 1540201958.255 * * [misc]simplify: iters left: 6 (17 enodes) 1540201958.261 * * [misc]simplify: iters left: 5 (25 enodes) 1540201958.268 * * [misc]simplify: iters left: 4 (37 enodes) 1540201958.272 * * [misc]simplify: iters left: 3 (41 enodes) 1540201958.277 * * [misc]simplify: iters left: 2 (46 enodes) 1540201958.282 * [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))))) 1540201958.282 * [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))))))) 1540201958.282 * [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))))) 1540201958.283 * * [misc]simplify: iters left: 6 (17 enodes) 1540201958.285 * * [misc]simplify: iters left: 5 (23 enodes) 1540201958.288 * * [misc]simplify: iters left: 4 (32 enodes) 1540201958.292 * * [misc]simplify: iters left: 3 (36 enodes) 1540201958.297 * [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))))) 1540201958.297 * [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))))))) 1540201958.297 * * * * [misc]progress: [ 380 / 6878 ] simplifiying candidate # 1540201958.297 * [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))) 1540201958.297 * * [misc]simplify: iters left: 6 (16 enodes) 1540201958.299 * * [misc]simplify: iters left: 5 (22 enodes) 1540201958.307 * * [misc]simplify: iters left: 4 (30 enodes) 1540201958.315 * * [misc]simplify: iters left: 3 (33 enodes) 1540201958.325 * [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)))) 1540201958.325 * [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))))))) 1540201958.325 * [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))))) 1540201958.325 * * [misc]simplify: iters left: 6 (18 enodes) 1540201958.331 * * [misc]simplify: iters left: 5 (26 enodes) 1540201958.338 * * [misc]simplify: iters left: 4 (35 enodes) 1540201958.349 * * [misc]simplify: iters left: 3 (47 enodes) 1540201958.361 * * [misc]simplify: iters left: 2 (49 enodes) 1540201958.371 * * [misc]simplify: iters left: 1 (54 enodes) 1540201958.383 * [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))))))) 1540201958.383 * [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))))))))) 1540201958.384 * * * * [misc]progress: [ 381 / 6878 ] simplifiying candidate # 1540201958.384 * [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))) 1540201958.384 * * [misc]simplify: iters left: 6 (18 enodes) 1540201958.391 * * [misc]simplify: iters left: 5 (27 enodes) 1540201958.399 * * [misc]simplify: iters left: 4 (40 enodes) 1540201958.412 * * [misc]simplify: iters left: 3 (54 enodes) 1540201958.426 * * [misc]simplify: iters left: 2 (66 enodes) 1540201958.444 * * [misc]simplify: iters left: 1 (72 enodes) 1540201958.455 * [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)))))) 1540201958.455 * [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))))) 1540201958.455 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540201958.456 * * [misc]simplify: iters left: 6 (16 enodes) 1540201958.458 * * [misc]simplify: iters left: 5 (20 enodes) 1540201958.460 * * [misc]simplify: iters left: 4 (26 enodes) 1540201958.464 * * [misc]simplify: iters left: 3 (28 enodes) 1540201958.472 * [exit]simplify: Simplified to (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540201958.472 * [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))))) 1540201958.472 * * * * [misc]progress: [ 382 / 6878 ] simplifiying candidate # 1540201958.472 * [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))))))) 1540201958.473 * * [misc]simplify: iters left: 6 (19 enodes) 1540201958.478 * * [misc]simplify: iters left: 5 (25 enodes) 1540201958.486 * * [misc]simplify: iters left: 4 (31 enodes) 1540201958.494 * * [misc]simplify: iters left: 3 (33 enodes) 1540201958.503 * [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))))))) 1540201958.503 * [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)))))))) 1540201958.503 * [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)))))) 1540201958.504 * * [misc]simplify: iters left: 6 (18 enodes) 1540201958.509 * * [misc]simplify: iters left: 5 (22 enodes) 1540201958.515 * * [misc]simplify: iters left: 4 (28 enodes) 1540201958.523 * * [misc]simplify: iters left: 3 (30 enodes) 1540201958.531 * [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)))))) 1540201958.531 * [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)))))))) 1540201958.531 * * * * [misc]progress: [ 383 / 6878 ] simplifiying candidate # 1540201958.532 * [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)))))) 1540201958.532 * * [misc]simplify: iters left: 6 (18 enodes) 1540201958.537 * * [misc]simplify: iters left: 5 (22 enodes) 1540201958.543 * * [misc]simplify: iters left: 4 (28 enodes) 1540201958.551 * * [misc]simplify: iters left: 3 (30 enodes) 1540201958.559 * [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)))))) 1540201958.559 * [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)))))))) 1540201958.559 * [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)))))) 1540201958.559 * * [misc]simplify: iters left: 6 (18 enodes) 1540201958.564 * * [misc]simplify: iters left: 5 (22 enodes) 1540201958.571 * * [misc]simplify: iters left: 4 (28 enodes) 1540201958.579 * * [misc]simplify: iters left: 3 (30 enodes) 1540201958.587 * [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)))))) 1540201958.587 * [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)))))))) 1540201958.587 * * * * [misc]progress: [ 384 / 6878 ] simplifiying candidate # 1540201958.588 * [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))) 1540201958.588 * * [misc]simplify: iters left: 6 (19 enodes) 1540201958.595 * * [misc]simplify: iters left: 5 (28 enodes) 1540201958.603 * * [misc]simplify: iters left: 4 (41 enodes) 1540201958.610 * * [misc]simplify: iters left: 3 (55 enodes) 1540201958.617 * * [misc]simplify: iters left: 2 (60 enodes) 1540201958.625 * * [misc]simplify: iters left: 1 (67 enodes) 1540201958.634 * [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))) 1540201958.634 * [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))))))) 1540201958.634 * [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))))) 1540201958.634 * * [misc]simplify: iters left: 6 (19 enodes) 1540201958.638 * * [misc]simplify: iters left: 5 (26 enodes) 1540201958.645 * * [misc]simplify: iters left: 4 (33 enodes) 1540201958.654 * * [misc]simplify: iters left: 3 (37 enodes) 1540201958.664 * [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))))) 1540201958.664 * [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))))))) 1540201958.664 * * * * [misc]progress: [ 385 / 6878 ] simplifiying candidate # 1540201958.664 * [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))) 1540201958.665 * * [misc]simplify: iters left: 6 (19 enodes) 1540201958.671 * * [misc]simplify: iters left: 5 (28 enodes) 1540201958.681 * * [misc]simplify: iters left: 4 (41 enodes) 1540201958.694 * * [misc]simplify: iters left: 3 (55 enodes) 1540201958.708 * * [misc]simplify: iters left: 2 (60 enodes) 1540201958.716 * * [misc]simplify: iters left: 1 (67 enodes) 1540201958.725 * [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))) 1540201958.725 * [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))))))) 1540201958.725 * [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))))) 1540201958.725 * * [misc]simplify: iters left: 6 (19 enodes) 1540201958.728 * * [misc]simplify: iters left: 5 (26 enodes) 1540201958.732 * * [misc]simplify: iters left: 4 (33 enodes) 1540201958.736 * * [misc]simplify: iters left: 3 (37 enodes) 1540201958.742 * [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))))) 1540201958.742 * [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))))))) 1540201958.742 * * * * [misc]progress: [ 386 / 6878 ] simplifiying candidate # 1540201958.742 * [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))))))) 1540201958.743 * * [misc]simplify: iters left: 6 (21 enodes) 1540201958.749 * * [misc]simplify: iters left: 5 (33 enodes) 1540201958.759 * * [misc]simplify: iters left: 4 (57 enodes) 1540201958.774 * * [misc]simplify: iters left: 3 (84 enodes) 1540201958.787 * * [misc]simplify: iters left: 2 (116 enodes) 1540201958.808 * * [misc]simplify: iters left: 1 (139 enodes) 1540201958.852 * [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))))) 1540201958.852 * [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)))))))) 1540201958.852 * [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)))))) 1540201958.852 * * [misc]simplify: iters left: 6 (19 enodes) 1540201958.855 * * [misc]simplify: iters left: 5 (25 enodes) 1540201958.858 * * [misc]simplify: iters left: 4 (34 enodes) 1540201958.863 * * [misc]simplify: iters left: 3 (38 enodes) 1540201958.867 * [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)))))) 1540201958.867 * [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)))))))) 1540201958.868 * * * * [misc]progress: [ 387 / 6878 ] simplifiying candidate # 1540201958.868 * [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)))))) 1540201958.868 * * [misc]simplify: iters left: 6 (20 enodes) 1540201958.871 * * [misc]simplify: iters left: 5 (28 enodes) 1540201958.875 * * [misc]simplify: iters left: 4 (41 enodes) 1540201958.888 * * [misc]simplify: iters left: 3 (55 enodes) 1540201958.899 * * [misc]simplify: iters left: 2 (60 enodes) 1540201958.905 * * [misc]simplify: iters left: 1 (67 enodes) 1540201958.913 * [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)))))) 1540201958.914 * [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)))))))) 1540201958.914 * [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)))))) 1540201958.914 * * [misc]simplify: iters left: 6 (19 enodes) 1540201958.916 * * [misc]simplify: iters left: 5 (25 enodes) 1540201958.920 * * [misc]simplify: iters left: 4 (34 enodes) 1540201958.924 * * [misc]simplify: iters left: 3 (38 enodes) 1540201958.929 * [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)))))) 1540201958.929 * [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)))))))) 1540201958.929 * * * * [misc]progress: [ 388 / 6878 ] simplifiying candidate # 1540201958.929 * [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)) 1540201958.929 * * [misc]simplify: iters left: 6 (19 enodes) 1540201958.932 * * [misc]simplify: iters left: 5 (29 enodes) 1540201958.937 * * [misc]simplify: iters left: 4 (46 enodes) 1540201958.943 * * [misc]simplify: iters left: 3 (54 enodes) 1540201958.949 * * [misc]simplify: iters left: 2 (75 enodes) 1540201958.968 * * [misc]simplify: iters left: 1 (97 enodes) 1540201958.987 * [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))))) 1540201958.988 * [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))))))) 1540201958.988 * [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))))) 1540201958.988 * * [misc]simplify: iters left: 6 (18 enodes) 1540201958.990 * * [misc]simplify: iters left: 5 (24 enodes) 1540201958.994 * * [misc]simplify: iters left: 4 (33 enodes) 1540201958.998 * * [misc]simplify: iters left: 3 (37 enodes) 1540201959.003 * [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))))) 1540201959.003 * [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))))))) 1540201959.003 * * * * [misc]progress: [ 389 / 6878 ] simplifiying candidate # 1540201959.003 * [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))) 1540201959.003 * * [misc]simplify: iters left: 6 (20 enodes) 1540201959.007 * * [misc]simplify: iters left: 5 (28 enodes) 1540201959.011 * * [misc]simplify: iters left: 4 (37 enodes) 1540201959.017 * * [misc]simplify: iters left: 3 (41 enodes) 1540201959.028 * [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))) 1540201959.028 * [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 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))))))) 1540201959.028 * [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))))) 1540201959.028 * * [misc]simplify: iters left: 6 (20 enodes) 1540201959.034 * * [misc]simplify: iters left: 5 (27 enodes) 1540201959.041 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.050 * * [misc]simplify: iters left: 3 (38 enodes) 1540201959.060 * [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))))) 1540201959.060 * [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))))))) 1540201959.060 * * * * [misc]progress: [ 390 / 6878 ] simplifiying candidate # 1540201959.060 * [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))) 1540201959.060 * * [misc]simplify: iters left: 6 (20 enodes) 1540201959.067 * * [misc]simplify: iters left: 5 (28 enodes) 1540201959.077 * * [misc]simplify: iters left: 4 (37 enodes) 1540201959.087 * * [misc]simplify: iters left: 3 (41 enodes) 1540201959.099 * [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))) 1540201959.099 * [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))))))) 1540201959.099 * [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))))) 1540201959.099 * * [misc]simplify: iters left: 6 (20 enodes) 1540201959.105 * * [misc]simplify: iters left: 5 (27 enodes) 1540201959.112 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.121 * * [misc]simplify: iters left: 3 (38 enodes) 1540201959.129 * [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))))) 1540201959.129 * [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))))))) 1540201959.129 * * * * [misc]progress: [ 391 / 6878 ] simplifiying candidate # 1540201959.129 * [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))))))) 1540201959.129 * * [misc]simplify: iters left: 6 (22 enodes) 1540201959.132 * * [misc]simplify: iters left: 5 (31 enodes) 1540201959.137 * * [misc]simplify: iters left: 4 (42 enodes) 1540201959.142 * * [misc]simplify: iters left: 3 (53 enodes) 1540201959.149 * * [misc]simplify: iters left: 2 (61 enodes) 1540201959.156 * * [misc]simplify: iters left: 1 (63 enodes) 1540201959.169 * [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))))) 1540201959.169 * [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)))))))) 1540201959.169 * [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)))))) 1540201959.170 * * [misc]simplify: iters left: 6 (20 enodes) 1540201959.175 * * [misc]simplify: iters left: 5 (26 enodes) 1540201959.180 * * [misc]simplify: iters left: 4 (35 enodes) 1540201959.184 * * [misc]simplify: iters left: 3 (39 enodes) 1540201959.189 * [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)))))) 1540201959.189 * [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)))))))) 1540201959.190 * * * * [misc]progress: [ 392 / 6878 ] simplifiying candidate # 1540201959.190 * [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)))))) 1540201959.190 * * [misc]simplify: iters left: 6 (21 enodes) 1540201959.193 * * [misc]simplify: iters left: 5 (28 enodes) 1540201959.197 * * [misc]simplify: iters left: 4 (37 enodes) 1540201959.201 * * [misc]simplify: iters left: 3 (41 enodes) 1540201959.210 * [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)))))) 1540201959.210 * [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)))))))) 1540201959.210 * [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)))))) 1540201959.211 * * [misc]simplify: iters left: 6 (20 enodes) 1540201959.216 * * [misc]simplify: iters left: 5 (26 enodes) 1540201959.224 * * [misc]simplify: iters left: 4 (35 enodes) 1540201959.233 * * [misc]simplify: iters left: 3 (39 enodes) 1540201959.242 * [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)))))) 1540201959.242 * [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)))))))) 1540201959.242 * * * * [misc]progress: [ 393 / 6878 ] simplifiying candidate # 1540201959.243 * [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)) 1540201959.243 * * [misc]simplify: iters left: 6 (20 enodes) 1540201959.248 * * [misc]simplify: iters left: 5 (28 enodes) 1540201959.255 * * [misc]simplify: iters left: 4 (38 enodes) 1540201959.263 * * [misc]simplify: iters left: 3 (44 enodes) 1540201959.268 * * [misc]simplify: iters left: 2 (49 enodes) 1540201959.274 * * [misc]simplify: iters left: 1 (52 enodes) 1540201959.281 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) 1540201959.281 * [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))))))) 1540201959.281 * [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))))) 1540201959.281 * * [misc]simplify: iters left: 6 (19 enodes) 1540201959.284 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.287 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.291 * * [misc]simplify: iters left: 3 (38 enodes) 1540201959.296 * [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))))) 1540201959.296 * [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))))))) 1540201959.296 * * * * [misc]progress: [ 394 / 6878 ] simplifiying candidate # 1540201959.297 * [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))) 1540201959.297 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.300 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.304 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.309 * * [misc]simplify: iters left: 3 (38 enodes) 1540201959.314 * [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))) 1540201959.315 * [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))))))) 1540201959.315 * [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))))) 1540201959.315 * * [misc]simplify: iters left: 6 (19 enodes) 1540201959.317 * * [misc]simplify: iters left: 5 (26 enodes) 1540201959.321 * * [misc]simplify: iters left: 4 (33 enodes) 1540201959.325 * * [misc]simplify: iters left: 3 (37 enodes) 1540201959.330 * [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))))) 1540201959.330 * [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))))))) 1540201959.330 * * * * [misc]progress: [ 395 / 6878 ] simplifiying candidate # 1540201959.330 * [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))) 1540201959.330 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.333 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.337 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.345 * * [misc]simplify: iters left: 3 (38 enodes) 1540201959.355 * [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))) 1540201959.355 * [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))))))) 1540201959.356 * [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))))) 1540201959.356 * * [misc]simplify: iters left: 6 (19 enodes) 1540201959.363 * * [misc]simplify: iters left: 5 (26 enodes) 1540201959.370 * * [misc]simplify: iters left: 4 (33 enodes) 1540201959.378 * * [misc]simplify: iters left: 3 (37 enodes) 1540201959.385 * [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))))) 1540201959.386 * [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))))))) 1540201959.386 * * * * [misc]progress: [ 396 / 6878 ] simplifiying candidate # 1540201959.386 * [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))))))) 1540201959.386 * * [misc]simplify: iters left: 6 (20 enodes) 1540201959.389 * * [misc]simplify: iters left: 5 (28 enodes) 1540201959.393 * * [misc]simplify: iters left: 4 (39 enodes) 1540201959.398 * * [misc]simplify: iters left: 3 (50 enodes) 1540201959.404 * * [misc]simplify: iters left: 2 (58 enodes) 1540201959.411 * * [misc]simplify: iters left: 1 (60 enodes) 1540201959.419 * [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))))))) 1540201959.419 * [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)))))))) 1540201959.419 * [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)))))) 1540201959.419 * * [misc]simplify: iters left: 6 (19 enodes) 1540201959.422 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.425 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.429 * * [misc]simplify: iters left: 3 (38 enodes) 1540201959.434 * [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)))))) 1540201959.434 * [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)))))))) 1540201959.434 * * * * [misc]progress: [ 397 / 6878 ] simplifiying candidate # 1540201959.434 * [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)))))) 1540201959.435 * * [misc]simplify: iters left: 6 (19 enodes) 1540201959.437 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.441 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.449 * * [misc]simplify: iters left: 3 (38 enodes) 1540201959.459 * [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)))))) 1540201959.459 * [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)))))))) 1540201959.459 * [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)))))) 1540201959.459 * * [misc]simplify: iters left: 6 (19 enodes) 1540201959.465 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.472 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.482 * * [misc]simplify: iters left: 3 (38 enodes) 1540201959.492 * [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)))))) 1540201959.492 * [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)))))))) 1540201959.492 * * * * [misc]progress: [ 398 / 6878 ] simplifiying candidate # 1540201959.492 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201959.492 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.498 * * [misc]simplify: iters left: 5 (26 enodes) 1540201959.506 * * [misc]simplify: iters left: 4 (39 enodes) 1540201959.516 * * [misc]simplify: iters left: 3 (45 enodes) 1540201959.525 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) 1540201959.525 * [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))))))) 1540201959.525 * [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))))) 1540201959.525 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.528 * * [misc]simplify: iters left: 5 (24 enodes) 1540201959.531 * * [misc]simplify: iters left: 4 (33 enodes) 1540201959.535 * * [misc]simplify: iters left: 3 (37 enodes) 1540201959.540 * [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))))) 1540201959.540 * [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))))))) 1540201959.540 * * * * [misc]progress: [ 399 / 6878 ] simplifiying candidate # 1540201959.540 * [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))) 1540201959.540 * * [misc]simplify: iters left: 6 (19 enodes) 1540201959.544 * * [misc]simplify: iters left: 5 (28 enodes) 1540201959.548 * * [misc]simplify: iters left: 4 (37 enodes) 1540201959.553 * * [misc]simplify: iters left: 3 (49 enodes) 1540201959.566 * * [misc]simplify: iters left: 2 (58 enodes) 1540201959.578 * * [misc]simplify: iters left: 1 (61 enodes) 1540201959.591 * [exit]simplify: Simplified to (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt 2)) 1540201959.591 * [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))))))) 1540201959.592 * [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))))) 1540201959.592 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.597 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.604 * * [misc]simplify: iters left: 4 (32 enodes) 1540201959.612 * * [misc]simplify: iters left: 3 (36 enodes) 1540201959.622 * [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)))) 1540201959.622 * [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)))))) 1540201959.622 * * * * [misc]progress: [ 400 / 6878 ] simplifiying candidate # 1540201959.622 * [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))) 1540201959.623 * * [misc]simplify: iters left: 6 (19 enodes) 1540201959.629 * * [misc]simplify: iters left: 5 (28 enodes) 1540201959.638 * * [misc]simplify: iters left: 4 (37 enodes) 1540201959.649 * * [misc]simplify: iters left: 3 (49 enodes) 1540201959.662 * * [misc]simplify: iters left: 2 (58 enodes) 1540201959.675 * * [misc]simplify: iters left: 1 (61 enodes) 1540201959.689 * [exit]simplify: Simplified to (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt 2)) 1540201959.689 * [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))))))) 1540201959.689 * [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))))) 1540201959.689 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.693 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.697 * * [misc]simplify: iters left: 4 (32 enodes) 1540201959.701 * * [misc]simplify: iters left: 3 (36 enodes) 1540201959.705 * [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)))) 1540201959.706 * [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)))))) 1540201959.706 * * * * [misc]progress: [ 401 / 6878 ] simplifiying candidate # 1540201959.706 * [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))))))) 1540201959.706 * * [misc]simplify: iters left: 6 (21 enodes) 1540201959.709 * * [misc]simplify: iters left: 5 (31 enodes) 1540201959.714 * * [misc]simplify: iters left: 4 (43 enodes) 1540201959.720 * * [misc]simplify: iters left: 3 (61 enodes) 1540201959.735 * * [misc]simplify: iters left: 2 (75 enodes) 1540201959.753 * * [misc]simplify: iters left: 1 (92 enodes) 1540201959.766 * [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)))))) 1540201959.766 * [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)))))))) 1540201959.766 * [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)))))) 1540201959.766 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.769 * * [misc]simplify: iters left: 5 (24 enodes) 1540201959.772 * * [misc]simplify: iters left: 4 (33 enodes) 1540201959.776 * * [misc]simplify: iters left: 3 (37 enodes) 1540201959.781 * [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)))))) 1540201959.781 * [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)))))))) 1540201959.781 * * * * [misc]progress: [ 402 / 6878 ] simplifiying candidate # 1540201959.781 * [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)))))) 1540201959.781 * * [misc]simplify: iters left: 6 (20 enodes) 1540201959.785 * * [misc]simplify: iters left: 5 (28 enodes) 1540201959.789 * * [misc]simplify: iters left: 4 (37 enodes) 1540201959.794 * * [misc]simplify: iters left: 3 (49 enodes) 1540201959.800 * * [misc]simplify: iters left: 2 (58 enodes) 1540201959.806 * * [misc]simplify: iters left: 1 (61 enodes) 1540201959.812 * [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))))))) 1540201959.812 * [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)))))))) 1540201959.812 * [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)))))) 1540201959.812 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.815 * * [misc]simplify: iters left: 5 (24 enodes) 1540201959.818 * * [misc]simplify: iters left: 4 (33 enodes) 1540201959.822 * * [misc]simplify: iters left: 3 (37 enodes) 1540201959.827 * [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)))))) 1540201959.827 * [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)))))))) 1540201959.827 * * * * [misc]progress: [ 403 / 6878 ] simplifiying candidate # 1540201959.828 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540201959.828 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.834 * * [misc]simplify: iters left: 5 (26 enodes) 1540201959.840 * * [misc]simplify: iters left: 4 (32 enodes) 1540201959.848 * * [misc]simplify: iters left: 3 (37 enodes) 1540201959.855 * * [misc]simplify: iters left: 2 (38 enodes) 1540201959.863 * * [misc]simplify: iters left: 1 (40 enodes) 1540201959.873 * [exit]simplify: Simplified to (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540201959.873 * [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))))))) 1540201959.873 * [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))))) 1540201959.873 * * [misc]simplify: iters left: 6 (17 enodes) 1540201959.878 * * [misc]simplify: iters left: 5 (23 enodes) 1540201959.884 * * [misc]simplify: iters left: 4 (32 enodes) 1540201959.894 * * [misc]simplify: iters left: 3 (36 enodes) 1540201959.903 * [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))))) 1540201959.903 * [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))))))) 1540201959.903 * * * * [misc]progress: [ 404 / 6878 ] simplifiying candidate # 1540201959.904 * [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))) 1540201959.904 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.910 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.918 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.928 * * [misc]simplify: iters left: 3 (38 enodes) 1540201959.938 * [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))) 1540201959.938 * [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))))))) 1540201959.939 * [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))))) 1540201959.939 * * [misc]simplify: iters left: 6 (19 enodes) 1540201959.944 * * [misc]simplify: iters left: 5 (26 enodes) 1540201959.951 * * [misc]simplify: iters left: 4 (33 enodes) 1540201959.960 * * [misc]simplify: iters left: 3 (37 enodes) 1540201959.970 * [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))))) 1540201959.970 * [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))))))) 1540201959.970 * * * * [misc]progress: [ 405 / 6878 ] simplifiying candidate # 1540201959.970 * [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))) 1540201959.971 * * [misc]simplify: iters left: 6 (18 enodes) 1540201959.977 * * [misc]simplify: iters left: 5 (25 enodes) 1540201959.985 * * [misc]simplify: iters left: 4 (34 enodes) 1540201959.994 * * [misc]simplify: iters left: 3 (38 enodes) 1540201960.005 * [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))) 1540201960.005 * [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))))))) 1540201960.005 * [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))))) 1540201960.006 * * [misc]simplify: iters left: 6 (19 enodes) 1540201960.011 * * [misc]simplify: iters left: 5 (26 enodes) 1540201960.018 * * [misc]simplify: iters left: 4 (33 enodes) 1540201960.029 * * [misc]simplify: iters left: 3 (37 enodes) 1540201960.039 * [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))))) 1540201960.039 * [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))))))) 1540201960.039 * * * * [misc]progress: [ 406 / 6878 ] simplifiying candidate # 1540201960.039 * [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))))))) 1540201960.040 * * [misc]simplify: iters left: 6 (20 enodes) 1540201960.046 * * [misc]simplify: iters left: 5 (28 enodes) 1540201960.054 * * [misc]simplify: iters left: 4 (39 enodes) 1540201960.064 * * [misc]simplify: iters left: 3 (50 enodes) 1540201960.079 * * [misc]simplify: iters left: 2 (58 enodes) 1540201960.093 * * [misc]simplify: iters left: 1 (60 enodes) 1540201960.110 * [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))))))) 1540201960.110 * [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)))))))) 1540201960.110 * [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)))))) 1540201960.110 * * [misc]simplify: iters left: 6 (19 enodes) 1540201960.116 * * [misc]simplify: iters left: 5 (25 enodes) 1540201960.123 * * [misc]simplify: iters left: 4 (34 enodes) 1540201960.133 * * [misc]simplify: iters left: 3 (38 enodes) 1540201960.143 * [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)))))) 1540201960.143 * [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)))))))) 1540201960.143 * * * * [misc]progress: [ 407 / 6878 ] simplifiying candidate # 1540201960.143 * [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)))))) 1540201960.143 * * [misc]simplify: iters left: 6 (19 enodes) 1540201960.149 * * [misc]simplify: iters left: 5 (25 enodes) 1540201960.156 * * [misc]simplify: iters left: 4 (34 enodes) 1540201960.165 * * [misc]simplify: iters left: 3 (38 enodes) 1540201960.174 * [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)))))) 1540201960.175 * [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)))))))) 1540201960.175 * [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)))))) 1540201960.175 * * [misc]simplify: iters left: 6 (19 enodes) 1540201960.178 * * [misc]simplify: iters left: 5 (25 enodes) 1540201960.181 * * [misc]simplify: iters left: 4 (34 enodes) 1540201960.186 * * [misc]simplify: iters left: 3 (38 enodes) 1540201960.190 * [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)))))) 1540201960.190 * [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)))))))) 1540201960.190 * * * * [misc]progress: [ 408 / 6878 ] simplifiying candidate # 1540201960.191 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201960.191 * * [misc]simplify: iters left: 6 (18 enodes) 1540201960.193 * * [misc]simplify: iters left: 5 (26 enodes) 1540201960.197 * * [misc]simplify: iters left: 4 (39 enodes) 1540201960.202 * * [misc]simplify: iters left: 3 (45 enodes) 1540201960.207 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) 1540201960.207 * [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))))))) 1540201960.207 * [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))))) 1540201960.207 * * [misc]simplify: iters left: 6 (18 enodes) 1540201960.210 * * [misc]simplify: iters left: 5 (24 enodes) 1540201960.213 * * [misc]simplify: iters left: 4 (33 enodes) 1540201960.217 * * [misc]simplify: iters left: 3 (37 enodes) 1540201960.224 * [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))))) 1540201960.224 * [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))))))) 1540201960.225 * * * * [misc]progress: [ 409 / 6878 ] simplifiying candidate # 1540201960.225 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540201960.225 * * [misc]simplify: iters left: 6 (18 enodes) 1540201960.232 * * [misc]simplify: iters left: 5 (27 enodes) 1540201960.240 * * [misc]simplify: iters left: 4 (36 enodes) 1540201960.245 * * [misc]simplify: iters left: 3 (48 enodes) 1540201960.251 * * [misc]simplify: iters left: 2 (50 enodes) 1540201960.258 * * [misc]simplify: iters left: 1 (55 enodes) 1540201960.264 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540201960.264 * [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))))))) 1540201960.265 * [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))))) 1540201960.265 * * [misc]simplify: iters left: 6 (18 enodes) 1540201960.267 * * [misc]simplify: iters left: 5 (25 enodes) 1540201960.271 * * [misc]simplify: iters left: 4 (32 enodes) 1540201960.275 * * [misc]simplify: iters left: 3 (36 enodes) 1540201960.280 * [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)))) 1540201960.280 * [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)))))) 1540201960.280 * * * * [misc]progress: [ 410 / 6878 ] simplifiying candidate # 1540201960.280 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540201960.280 * * [misc]simplify: iters left: 6 (18 enodes) 1540201960.283 * * [misc]simplify: iters left: 5 (27 enodes) 1540201960.287 * * [misc]simplify: iters left: 4 (36 enodes) 1540201960.294 * * [misc]simplify: iters left: 3 (48 enodes) 1540201960.306 * * [misc]simplify: iters left: 2 (50 enodes) 1540201960.316 * * [misc]simplify: iters left: 1 (55 enodes) 1540201960.326 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540201960.327 * [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))))))) 1540201960.327 * [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))))) 1540201960.327 * * [misc]simplify: iters left: 6 (18 enodes) 1540201960.329 * * [misc]simplify: iters left: 5 (25 enodes) 1540201960.333 * * [misc]simplify: iters left: 4 (32 enodes) 1540201960.337 * * [misc]simplify: iters left: 3 (36 enodes) 1540201960.341 * [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)))) 1540201960.341 * [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)))))) 1540201960.341 * * * * [misc]progress: [ 411 / 6878 ] simplifiying candidate # 1540201960.341 * [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))))))) 1540201960.342 * * [misc]simplify: iters left: 6 (20 enodes) 1540201960.345 * * [misc]simplify: iters left: 5 (30 enodes) 1540201960.349 * * [misc]simplify: iters left: 4 (41 enodes) 1540201960.355 * * [misc]simplify: iters left: 3 (57 enodes) 1540201960.363 * * [misc]simplify: iters left: 2 (66 enodes) 1540201960.370 * * [misc]simplify: iters left: 1 (71 enodes) 1540201960.379 * [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)))))) 1540201960.379 * [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)))))))) 1540201960.380 * [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)))))) 1540201960.380 * * [misc]simplify: iters left: 6 (18 enodes) 1540201960.382 * * [misc]simplify: iters left: 5 (24 enodes) 1540201960.386 * * [misc]simplify: iters left: 4 (33 enodes) 1540201960.390 * * [misc]simplify: iters left: 3 (37 enodes) 1540201960.394 * [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)))))) 1540201960.394 * [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)))))))) 1540201960.395 * * * * [misc]progress: [ 412 / 6878 ] simplifiying candidate # 1540201960.395 * [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)))))) 1540201960.395 * * [misc]simplify: iters left: 6 (19 enodes) 1540201960.397 * * [misc]simplify: iters left: 5 (27 enodes) 1540201960.401 * * [misc]simplify: iters left: 4 (36 enodes) 1540201960.408 * * [misc]simplify: iters left: 3 (48 enodes) 1540201960.420 * * [misc]simplify: iters left: 2 (50 enodes) 1540201960.427 * * [misc]simplify: iters left: 1 (55 enodes) 1540201960.433 * [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))))) 1540201960.433 * [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)))))))) 1540201960.433 * [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)))))) 1540201960.434 * * [misc]simplify: iters left: 6 (18 enodes) 1540201960.436 * * [misc]simplify: iters left: 5 (24 enodes) 1540201960.439 * * [misc]simplify: iters left: 4 (33 enodes) 1540201960.443 * * [misc]simplify: iters left: 3 (37 enodes) 1540201960.448 * [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)))))) 1540201960.448 * [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)))))))) 1540201960.448 * * * * [misc]progress: [ 413 / 6878 ] simplifiying candidate # 1540201960.448 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540201960.448 * * [misc]simplify: iters left: 6 (17 enodes) 1540201960.451 * * [misc]simplify: iters left: 5 (23 enodes) 1540201960.453 * * [misc]simplify: iters left: 4 (29 enodes) 1540201960.457 * * [misc]simplify: iters left: 3 (33 enodes) 1540201960.463 * [exit]simplify: Simplified to (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540201960.463 * [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))))))) 1540201960.463 * [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))))) 1540201960.463 * * [misc]simplify: iters left: 6 (17 enodes) 1540201960.468 * * [misc]simplify: iters left: 5 (23 enodes) 1540201960.475 * * [misc]simplify: iters left: 4 (32 enodes) 1540201960.484 * * [misc]simplify: iters left: 3 (36 enodes) 1540201960.493 * [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))))) 1540201960.493 * [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))))))) 1540201960.493 * * * * [misc]progress: [ 414 / 6878 ] simplifiying candidate # 1540201960.494 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1) 1540201960.494 * * [misc]simplify: iters left: 6 (16 enodes) 1540201960.499 * * [misc]simplify: iters left: 5 (22 enodes) 1540201960.505 * * [misc]simplify: iters left: 4 (30 enodes) 1540201960.512 * * [misc]simplify: iters left: 3 (32 enodes) 1540201960.520 * [exit]simplify: Simplified to (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540201960.520 * [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))))))) 1540201960.520 * [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))))) 1540201960.520 * * [misc]simplify: iters left: 6 (17 enodes) 1540201960.525 * * [misc]simplify: iters left: 5 (23 enodes) 1540201960.532 * * [misc]simplify: iters left: 4 (32 enodes) 1540201960.536 * * [misc]simplify: iters left: 3 (36 enodes) 1540201960.541 * [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))))) 1540201960.541 * [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))))))) 1540201960.541 * * * * [misc]progress: [ 415 / 6878 ] simplifiying candidate # 1540201960.541 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540201960.541 * * [misc]simplify: iters left: 6 (15 enodes) 1540201960.543 * * [misc]simplify: iters left: 5 (19 enodes) 1540201960.546 * * [misc]simplify: iters left: 4 (25 enodes) 1540201960.549 * * [misc]simplify: iters left: 3 (27 enodes) 1540201960.552 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt k))) 1540201960.552 * [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))))))) 1540201960.552 * [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))))) 1540201960.553 * * [misc]simplify: iters left: 6 (18 enodes) 1540201960.555 * * [misc]simplify: iters left: 5 (26 enodes) 1540201960.559 * * [misc]simplify: iters left: 4 (35 enodes) 1540201960.568 * * [misc]simplify: iters left: 3 (47 enodes) 1540201960.578 * * [misc]simplify: iters left: 2 (49 enodes) 1540201960.588 * * [misc]simplify: iters left: 1 (54 enodes) 1540201960.600 * [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))))))) 1540201960.600 * [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))))))))) 1540201960.600 * * * * [misc]progress: [ 416 / 6878 ] simplifiying candidate # 1540201960.600 * [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))) 1540201960.600 * * [misc]simplify: iters left: 6 (17 enodes) 1540201960.606 * * [misc]simplify: iters left: 5 (24 enodes) 1540201960.613 * * [misc]simplify: iters left: 4 (33 enodes) 1540201960.622 * * [misc]simplify: iters left: 3 (37 enodes) 1540201960.633 * [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))) 1540201960.633 * [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))))) 1540201960.633 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540201960.633 * * [misc]simplify: iters left: 6 (16 enodes) 1540201960.638 * * [misc]simplify: iters left: 5 (20 enodes) 1540201960.646 * * [misc]simplify: iters left: 4 (26 enodes) 1540201960.654 * * [misc]simplify: iters left: 3 (28 enodes) 1540201960.661 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540201960.661 * [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))))) 1540201960.661 * * * * [misc]progress: [ 417 / 6878 ] simplifiying candidate # 1540201960.662 * [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))))))) 1540201960.662 * * [misc]simplify: iters left: 6 (20 enodes) 1540201960.667 * * [misc]simplify: iters left: 5 (29 enodes) 1540201960.675 * * [misc]simplify: iters left: 4 (42 enodes) 1540201960.683 * * [misc]simplify: iters left: 3 (55 enodes) 1540201960.690 * * [misc]simplify: iters left: 2 (67 enodes) 1540201960.699 * * [misc]simplify: iters left: 1 (70 enodes) 1540201960.707 * [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))))))) 1540201960.707 * [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)))))))) 1540201960.707 * [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)))))) 1540201960.707 * * [misc]simplify: iters left: 6 (19 enodes) 1540201960.710 * * [misc]simplify: iters left: 5 (24 enodes) 1540201960.713 * * [misc]simplify: iters left: 4 (28 enodes) 1540201960.717 * [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)))))) 1540201960.717 * [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)))))))) 1540201960.717 * * * * [misc]progress: [ 418 / 6878 ] simplifiying candidate # 1540201960.717 * [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)))))) 1540201960.717 * * [misc]simplify: iters left: 6 (19 enodes) 1540201960.721 * * [misc]simplify: iters left: 5 (26 enodes) 1540201960.728 * * [misc]simplify: iters left: 4 (34 enodes) 1540201960.737 * * [misc]simplify: iters left: 3 (37 enodes) 1540201960.747 * * [misc]simplify: iters left: 2 (43 enodes) 1540201960.755 * [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))))))) 1540201960.755 * [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)))))))) 1540201960.755 * [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)))))) 1540201960.755 * * [misc]simplify: iters left: 6 (19 enodes) 1540201960.758 * * [misc]simplify: iters left: 5 (24 enodes) 1540201960.761 * * [misc]simplify: iters left: 4 (28 enodes) 1540201960.765 * [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)))))) 1540201960.765 * [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)))))))) 1540201960.765 * * * * [misc]progress: [ 419 / 6878 ] simplifiying candidate # 1540201960.765 * [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))) 1540201960.765 * * [misc]simplify: iters left: 6 (20 enodes) 1540201960.769 * * [misc]simplify: iters left: 5 (32 enodes) 1540201960.774 * * [misc]simplify: iters left: 4 (55 enodes) 1540201960.784 * * [misc]simplify: iters left: 3 (119 enodes) 1540201960.811 * * [misc]simplify: iters left: 2 (267 enodes) 1540201960.913 * * [misc]simplify: iters left: 1 (476 enodes) 1540201961.138 * [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))))))) 1540201961.138 * [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))))))) 1540201961.138 * [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))))) 1540201961.139 * * [misc]simplify: iters left: 6 (19 enodes) 1540201961.141 * * [misc]simplify: iters left: 5 (26 enodes) 1540201961.145 * * [misc]simplify: iters left: 4 (36 enodes) 1540201961.150 * * [misc]simplify: iters left: 3 (50 enodes) 1540201961.156 * * [misc]simplify: iters left: 2 (61 enodes) 1540201961.163 * * [misc]simplify: iters left: 1 (76 enodes) 1540201961.185 * [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)))))) 1540201961.185 * [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)))))))) 1540201961.185 * * * * [misc]progress: [ 420 / 6878 ] simplifiying candidate # 1540201961.185 * [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))) 1540201961.186 * * [misc]simplify: iters left: 6 (20 enodes) 1540201961.192 * * [misc]simplify: iters left: 5 (32 enodes) 1540201961.202 * * [misc]simplify: iters left: 4 (55 enodes) 1540201961.221 * * [misc]simplify: iters left: 3 (119 enodes) 1540201961.250 * * [misc]simplify: iters left: 2 (267 enodes) 1540201961.381 * * [misc]simplify: iters left: 1 (476 enodes) 1540201961.627 * [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))))))) 1540201961.627 * [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))))))) 1540201961.627 * [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))))) 1540201961.627 * * [misc]simplify: iters left: 6 (19 enodes) 1540201961.633 * * [misc]simplify: iters left: 5 (26 enodes) 1540201961.640 * * [misc]simplify: iters left: 4 (36 enodes) 1540201961.651 * * [misc]simplify: iters left: 3 (50 enodes) 1540201961.664 * * [misc]simplify: iters left: 2 (61 enodes) 1540201961.680 * * [misc]simplify: iters left: 1 (76 enodes) 1540201961.702 * [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)))))) 1540201961.702 * [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)))))))) 1540201961.702 * * * * [misc]progress: [ 421 / 6878 ] simplifiying candidate # 1540201961.702 * [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))))))) 1540201961.703 * * [misc]simplify: iters left: 6 (22 enodes) 1540201961.706 * * [misc]simplify: iters left: 5 (37 enodes) 1540201961.712 * * [misc]simplify: iters left: 4 (77 enodes) 1540201961.727 * * [misc]simplify: iters left: 3 (197 enodes) 1540201961.850 * [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))))))) 1540201961.850 * [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)))))))) 1540201961.850 * [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)))))) 1540201961.851 * * [misc]simplify: iters left: 6 (20 enodes) 1540201961.853 * * [misc]simplify: iters left: 5 (27 enodes) 1540201961.857 * * [misc]simplify: iters left: 4 (37 enodes) 1540201961.862 * * [misc]simplify: iters left: 3 (51 enodes) 1540201961.868 * * [misc]simplify: iters left: 2 (62 enodes) 1540201961.875 * * [misc]simplify: iters left: 1 (77 enodes) 1540201961.901 * [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)))))) 1540201961.901 * [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)))))))) 1540201961.901 * * * * [misc]progress: [ 422 / 6878 ] simplifiying candidate # 1540201961.901 * [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)))))) 1540201961.902 * * [misc]simplify: iters left: 6 (21 enodes) 1540201961.908 * * [misc]simplify: iters left: 5 (32 enodes) 1540201961.917 * * [misc]simplify: iters left: 4 (55 enodes) 1540201961.933 * * [misc]simplify: iters left: 3 (119 enodes) 1540201961.960 * * [misc]simplify: iters left: 2 (266 enodes) 1540201962.049 * * [misc]simplify: iters left: 1 (473 enodes) 1540201962.262 * [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))) 1540201962.262 * [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)))))))) 1540201962.262 * [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)))))) 1540201962.262 * * [misc]simplify: iters left: 6 (20 enodes) 1540201962.268 * * [misc]simplify: iters left: 5 (27 enodes) 1540201962.271 * * [misc]simplify: iters left: 4 (37 enodes) 1540201962.278 * * [misc]simplify: iters left: 3 (51 enodes) 1540201962.284 * * [misc]simplify: iters left: 2 (62 enodes) 1540201962.292 * * [misc]simplify: iters left: 1 (77 enodes) 1540201962.306 * [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)))))) 1540201962.306 * [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)))))))) 1540201962.306 * * * * [misc]progress: [ 423 / 6878 ] simplifiying candidate # 1540201962.307 * [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)) 1540201962.307 * * [misc]simplify: iters left: 6 (20 enodes) 1540201962.313 * * [misc]simplify: iters left: 5 (33 enodes) 1540201962.323 * * [misc]simplify: iters left: 4 (57 enodes) 1540201962.336 * * [misc]simplify: iters left: 3 (94 enodes) 1540201962.354 * * [misc]simplify: iters left: 2 (219 enodes) 1540201962.452 * [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)))))) 1540201962.452 * [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))))))) 1540201962.452 * [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))))) 1540201962.452 * * [misc]simplify: iters left: 6 (19 enodes) 1540201962.458 * * [misc]simplify: iters left: 5 (26 enodes) 1540201962.462 * * [misc]simplify: iters left: 4 (36 enodes) 1540201962.467 * * [misc]simplify: iters left: 3 (50 enodes) 1540201962.473 * * [misc]simplify: iters left: 2 (61 enodes) 1540201962.480 * * [misc]simplify: iters left: 1 (76 enodes) 1540201962.491 * [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)))))) 1540201962.491 * [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)))))))) 1540201962.492 * * * * [misc]progress: [ 424 / 6878 ] simplifiying candidate # 1540201962.492 * [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))) 1540201962.492 * * [misc]simplify: iters left: 6 (21 enodes) 1540201962.499 * * [misc]simplify: iters left: 5 (32 enodes) 1540201962.509 * * [misc]simplify: iters left: 4 (48 enodes) 1540201962.525 * * [misc]simplify: iters left: 3 (79 enodes) 1540201962.556 * * [misc]simplify: iters left: 2 (133 enodes) 1540201962.598 * * [misc]simplify: iters left: 1 (187 enodes) 1540201962.667 * [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))))))) 1540201962.667 * [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))))))) 1540201962.667 * [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))))) 1540201962.667 * * [misc]simplify: iters left: 6 (20 enodes) 1540201962.673 * * [misc]simplify: iters left: 5 (27 enodes) 1540201962.681 * * [misc]simplify: iters left: 4 (37 enodes) 1540201962.691 * * [misc]simplify: iters left: 3 (51 enodes) 1540201962.703 * * [misc]simplify: iters left: 2 (62 enodes) 1540201962.718 * * [misc]simplify: iters left: 1 (77 enodes) 1540201962.741 * [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)))))) 1540201962.741 * [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)))))))) 1540201962.741 * * * * [misc]progress: [ 425 / 6878 ] simplifiying candidate # 1540201962.742 * [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))) 1540201962.742 * * [misc]simplify: iters left: 6 (21 enodes) 1540201962.749 * * [misc]simplify: iters left: 5 (32 enodes) 1540201962.759 * * [misc]simplify: iters left: 4 (48 enodes) 1540201962.773 * * [misc]simplify: iters left: 3 (79 enodes) 1540201962.791 * * [misc]simplify: iters left: 2 (133 enodes) 1540201962.812 * * [misc]simplify: iters left: 1 (187 enodes) 1540201962.870 * [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))))))) 1540201962.870 * [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))))))) 1540201962.870 * [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))))) 1540201962.870 * * [misc]simplify: iters left: 6 (20 enodes) 1540201962.873 * * [misc]simplify: iters left: 5 (27 enodes) 1540201962.877 * * [misc]simplify: iters left: 4 (37 enodes) 1540201962.883 * * [misc]simplify: iters left: 3 (51 enodes) 1540201962.889 * * [misc]simplify: iters left: 2 (62 enodes) 1540201962.896 * * [misc]simplify: iters left: 1 (77 enodes) 1540201962.907 * [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)))))) 1540201962.907 * [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)))))))) 1540201962.907 * * * * [misc]progress: [ 426 / 6878 ] simplifiying candidate # 1540201962.908 * [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))))))) 1540201962.908 * * [misc]simplify: iters left: 6 (23 enodes) 1540201962.911 * * [misc]simplify: iters left: 5 (35 enodes) 1540201962.916 * * [misc]simplify: iters left: 4 (57 enodes) 1540201962.926 * * [misc]simplify: iters left: 3 (113 enodes) 1540201962.969 * * [misc]simplify: iters left: 2 (249 enodes) 1540201963.082 * * [misc]simplify: iters left: 1 (493 enodes) 1540201963.383 * [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))))))) 1540201963.383 * [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)))))))) 1540201963.384 * [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)))))) 1540201963.384 * * [misc]simplify: iters left: 6 (21 enodes) 1540201963.387 * * [misc]simplify: iters left: 5 (28 enodes) 1540201963.396 * * [misc]simplify: iters left: 4 (38 enodes) 1540201963.401 * * [misc]simplify: iters left: 3 (52 enodes) 1540201963.408 * * [misc]simplify: iters left: 2 (63 enodes) 1540201963.424 * * [misc]simplify: iters left: 1 (78 enodes) 1540201963.447 * [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)))))) 1540201963.447 * [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)))))))) 1540201963.447 * * * * [misc]progress: [ 427 / 6878 ] simplifiying candidate # 1540201963.447 * [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)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540201963.448 * * [misc]simplify: iters left: 6 (22 enodes) 1540201963.454 * * [misc]simplify: iters left: 5 (32 enodes) 1540201963.464 * * [misc]simplify: iters left: 4 (48 enodes) 1540201963.478 * * [misc]simplify: iters left: 3 (79 enodes) 1540201963.505 * * [misc]simplify: iters left: 2 (134 enodes) 1540201963.545 * * [misc]simplify: iters left: 1 (188 enodes) 1540201963.589 * [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))))))) 1540201963.589 * [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)))))))) 1540201963.589 * [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)))))) 1540201963.589 * * [misc]simplify: iters left: 6 (21 enodes) 1540201963.593 * * [misc]simplify: iters left: 5 (28 enodes) 1540201963.601 * * [misc]simplify: iters left: 4 (38 enodes) 1540201963.611 * * [misc]simplify: iters left: 3 (52 enodes) 1540201963.625 * * [misc]simplify: iters left: 2 (63 enodes) 1540201963.640 * * [misc]simplify: iters left: 1 (78 enodes) 1540201963.664 * [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)))))) 1540201963.664 * [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)))))))) 1540201963.664 * * * * [misc]progress: [ 428 / 6878 ] simplifiying candidate # 1540201963.665 * [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)) 1540201963.665 * * [misc]simplify: iters left: 6 (21 enodes) 1540201963.671 * * [misc]simplify: iters left: 5 (32 enodes) 1540201963.680 * * [misc]simplify: iters left: 4 (47 enodes) 1540201963.687 * * [misc]simplify: iters left: 3 (74 enodes) 1540201963.701 * * [misc]simplify: iters left: 2 (145 enodes) 1540201963.744 * * [misc]simplify: iters left: 1 (318 enodes) 1540201964.010 * [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)))))) 1540201964.010 * [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))))))) 1540201964.010 * [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))))) 1540201964.010 * * [misc]simplify: iters left: 6 (20 enodes) 1540201964.016 * * [misc]simplify: iters left: 5 (27 enodes) 1540201964.024 * * [misc]simplify: iters left: 4 (37 enodes) 1540201964.035 * * [misc]simplify: iters left: 3 (51 enodes) 1540201964.048 * * [misc]simplify: iters left: 2 (62 enodes) 1540201964.063 * * [misc]simplify: iters left: 1 (77 enodes) 1540201964.088 * [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)))))) 1540201964.088 * [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)))))))) 1540201964.088 * * * * [misc]progress: [ 429 / 6878 ] simplifiying candidate # 1540201964.089 * [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))) 1540201964.089 * * [misc]simplify: iters left: 6 (19 enodes) 1540201964.093 * * [misc]simplify: iters left: 5 (29 enodes) 1540201964.098 * * [misc]simplify: iters left: 4 (45 enodes) 1540201964.105 * * [misc]simplify: iters left: 3 (76 enodes) 1540201964.119 * * [misc]simplify: iters left: 2 (131 enodes) 1540201964.152 * * [misc]simplify: iters left: 1 (185 enodes) 1540201964.187 * [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))))))) 1540201964.187 * [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))))))) 1540201964.187 * [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))))) 1540201964.187 * * [misc]simplify: iters left: 6 (19 enodes) 1540201964.190 * * [misc]simplify: iters left: 5 (26 enodes) 1540201964.193 * * [misc]simplify: iters left: 4 (36 enodes) 1540201964.201 * * [misc]simplify: iters left: 3 (50 enodes) 1540201964.213 * * [misc]simplify: iters left: 2 (61 enodes) 1540201964.229 * * [misc]simplify: iters left: 1 (76 enodes) 1540201964.241 * [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)))))) 1540201964.241 * [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)))))))) 1540201964.241 * * * * [misc]progress: [ 430 / 6878 ] simplifiying candidate # 1540201964.241 * [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))) 1540201964.241 * * [misc]simplify: iters left: 6 (19 enodes) 1540201964.246 * * [misc]simplify: iters left: 5 (29 enodes) 1540201964.251 * * [misc]simplify: iters left: 4 (45 enodes) 1540201964.258 * * [misc]simplify: iters left: 3 (76 enodes) 1540201964.271 * * [misc]simplify: iters left: 2 (131 enodes) 1540201964.308 * * [misc]simplify: iters left: 1 (185 enodes) 1540201964.379 * [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))))))) 1540201964.379 * [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))))))) 1540201964.380 * [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))))) 1540201964.380 * * [misc]simplify: iters left: 6 (19 enodes) 1540201964.385 * * [misc]simplify: iters left: 5 (26 enodes) 1540201964.393 * * [misc]simplify: iters left: 4 (36 enodes) 1540201964.399 * * [misc]simplify: iters left: 3 (50 enodes) 1540201964.405 * * [misc]simplify: iters left: 2 (61 enodes) 1540201964.412 * * [misc]simplify: iters left: 1 (76 enodes) 1540201964.424 * [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)))))) 1540201964.424 * [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)))))))) 1540201964.424 * * * * [misc]progress: [ 431 / 6878 ] simplifiying candidate # 1540201964.425 * [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))))))) 1540201964.425 * * [misc]simplify: iters left: 6 (21 enodes) 1540201964.432 * * [misc]simplify: iters left: 5 (32 enodes) 1540201964.441 * * [misc]simplify: iters left: 4 (54 enodes) 1540201964.461 * * [misc]simplify: iters left: 3 (110 enodes) 1540201964.510 * * [misc]simplify: iters left: 2 (247 enodes) 1540201964.633 * * [misc]simplify: iters left: 1 (485 enodes) 1540201964.918 * [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))))))) 1540201964.919 * [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)))))))) 1540201964.919 * [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)))))) 1540201964.919 * * [misc]simplify: iters left: 6 (20 enodes) 1540201964.922 * * [misc]simplify: iters left: 5 (27 enodes) 1540201964.925 * * [misc]simplify: iters left: 4 (37 enodes) 1540201964.930 * * [misc]simplify: iters left: 3 (51 enodes) 1540201964.936 * * [misc]simplify: iters left: 2 (62 enodes) 1540201964.949 * * [misc]simplify: iters left: 1 (77 enodes) 1540201964.972 * [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)))))) 1540201964.972 * [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)))))))) 1540201964.972 * * * * [misc]progress: [ 432 / 6878 ] simplifiying candidate # 1540201964.973 * [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)))))) 1540201964.973 * * [misc]simplify: iters left: 6 (20 enodes) 1540201964.979 * * [misc]simplify: iters left: 5 (29 enodes) 1540201964.987 * * [misc]simplify: iters left: 4 (45 enodes) 1540201964.996 * * [misc]simplify: iters left: 3 (76 enodes) 1540201965.011 * * [misc]simplify: iters left: 2 (131 enodes) 1540201965.042 * * [misc]simplify: iters left: 1 (185 enodes) 1540201965.083 * [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))))))) 1540201965.083 * [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)))))))) 1540201965.083 * [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)))))) 1540201965.083 * * [misc]simplify: iters left: 6 (20 enodes) 1540201965.089 * * [misc]simplify: iters left: 5 (27 enodes) 1540201965.096 * * [misc]simplify: iters left: 4 (37 enodes) 1540201965.101 * * [misc]simplify: iters left: 3 (51 enodes) 1540201965.107 * * [misc]simplify: iters left: 2 (62 enodes) 1540201965.115 * * [misc]simplify: iters left: 1 (77 enodes) 1540201965.129 * [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)))))) 1540201965.129 * [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)))))))) 1540201965.129 * * * * [misc]progress: [ 433 / 6878 ] simplifiying candidate # 1540201965.129 * [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)) 1540201965.129 * * [misc]simplify: iters left: 6 (19 enodes) 1540201965.135 * * [misc]simplify: iters left: 5 (30 enodes) 1540201965.144 * * [misc]simplify: iters left: 4 (49 enodes) 1540201965.158 * * [misc]simplify: iters left: 3 (69 enodes) 1540201965.168 * * [misc]simplify: iters left: 2 (104 enodes) 1540201965.187 * * [misc]simplify: iters left: 1 (191 enodes) 1540201965.284 * [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))))))) 1540201965.284 * [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))))))) 1540201965.284 * [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))))) 1540201965.284 * * [misc]simplify: iters left: 6 (19 enodes) 1540201965.287 * * [misc]simplify: iters left: 5 (26 enodes) 1540201965.290 * * [misc]simplify: iters left: 4 (36 enodes) 1540201965.295 * * [misc]simplify: iters left: 3 (50 enodes) 1540201965.303 * * [misc]simplify: iters left: 2 (61 enodes) 1540201965.319 * * [misc]simplify: iters left: 1 (76 enodes) 1540201965.342 * [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)))))) 1540201965.342 * [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)))))))) 1540201965.342 * * * * [misc]progress: [ 434 / 6878 ] simplifiying candidate # 1540201965.342 * [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))) 1540201965.342 * * [misc]simplify: iters left: 6 (20 enodes) 1540201965.351 * * [misc]simplify: iters left: 5 (32 enodes) 1540201965.361 * * [misc]simplify: iters left: 4 (46 enodes) 1540201965.377 * * [misc]simplify: iters left: 3 (84 enodes) 1540201965.406 * * [misc]simplify: iters left: 2 (180 enodes) 1540201965.462 * * [misc]simplify: iters left: 1 (297 enodes) 1540201965.545 * [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))) 1540201965.545 * [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))))))) 1540201965.546 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201965.546 * * [misc]simplify: iters left: 6 (18 enodes) 1540201965.551 * * [misc]simplify: iters left: 5 (25 enodes) 1540201965.558 * * [misc]simplify: iters left: 4 (35 enodes) 1540201965.568 * * [misc]simplify: iters left: 3 (49 enodes) 1540201965.580 * * [misc]simplify: iters left: 2 (60 enodes) 1540201965.594 * * [misc]simplify: iters left: 1 (75 enodes) 1540201965.605 * [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)))))) 1540201965.605 * [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)))))))) 1540201965.605 * * * * [misc]progress: [ 435 / 6878 ] simplifiying candidate # 1540201965.605 * [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))) 1540201965.605 * * [misc]simplify: iters left: 6 (20 enodes) 1540201965.609 * * [misc]simplify: iters left: 5 (32 enodes) 1540201965.614 * * [misc]simplify: iters left: 4 (46 enodes) 1540201965.628 * * [misc]simplify: iters left: 3 (84 enodes) 1540201965.650 * * [misc]simplify: iters left: 2 (180 enodes) 1540201965.694 * * [misc]simplify: iters left: 1 (297 enodes) 1540201965.771 * [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))) 1540201965.771 * [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))))))) 1540201965.771 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201965.771 * * [misc]simplify: iters left: 6 (18 enodes) 1540201965.776 * * [misc]simplify: iters left: 5 (25 enodes) 1540201965.781 * * [misc]simplify: iters left: 4 (35 enodes) 1540201965.786 * * [misc]simplify: iters left: 3 (49 enodes) 1540201965.792 * * [misc]simplify: iters left: 2 (60 enodes) 1540201965.799 * * [misc]simplify: iters left: 1 (75 enodes) 1540201965.810 * [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)))))) 1540201965.810 * [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)))))))) 1540201965.810 * * * * [misc]progress: [ 436 / 6878 ] simplifiying candidate # 1540201965.810 * [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))))))) 1540201965.810 * * [misc]simplify: iters left: 6 (22 enodes) 1540201965.814 * * [misc]simplify: iters left: 5 (35 enodes) 1540201965.823 * * [misc]simplify: iters left: 4 (56 enodes) 1540201965.843 * * [misc]simplify: iters left: 3 (126 enodes) 1540201965.900 * * [misc]simplify: iters left: 2 (309 enodes) 1540201966.045 * [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))))))) 1540201966.045 * [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)))))))) 1540201966.045 * [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)))))) 1540201966.045 * * [misc]simplify: iters left: 6 (19 enodes) 1540201966.048 * * [misc]simplify: iters left: 5 (26 enodes) 1540201966.051 * * [misc]simplify: iters left: 4 (36 enodes) 1540201966.056 * * [misc]simplify: iters left: 3 (50 enodes) 1540201966.062 * * [misc]simplify: iters left: 2 (61 enodes) 1540201966.069 * * [misc]simplify: iters left: 1 (76 enodes) 1540201966.081 * [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)))))) 1540201966.081 * [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)))))))) 1540201966.081 * * * * [misc]progress: [ 437 / 6878 ] simplifiying candidate # 1540201966.082 * [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)))))) 1540201966.082 * * [misc]simplify: iters left: 6 (21 enodes) 1540201966.089 * * [misc]simplify: iters left: 5 (32 enodes) 1540201966.097 * * [misc]simplify: iters left: 4 (46 enodes) 1540201966.108 * * [misc]simplify: iters left: 3 (84 enodes) 1540201966.128 * * [misc]simplify: iters left: 2 (180 enodes) 1540201966.165 * * [misc]simplify: iters left: 1 (339 enodes) 1540201966.327 * [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)))))) 1540201966.327 * [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)))))))) 1540201966.327 * [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)))))) 1540201966.328 * * [misc]simplify: iters left: 6 (19 enodes) 1540201966.333 * * [misc]simplify: iters left: 5 (26 enodes) 1540201966.338 * * [misc]simplify: iters left: 4 (36 enodes) 1540201966.343 * * [misc]simplify: iters left: 3 (50 enodes) 1540201966.349 * * [misc]simplify: iters left: 2 (61 enodes) 1540201966.357 * * [misc]simplify: iters left: 1 (76 enodes) 1540201966.375 * [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)))))) 1540201966.375 * [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)))))))) 1540201966.375 * * * * [misc]progress: [ 438 / 6878 ] simplifiying candidate # 1540201966.376 * [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)) 1540201966.376 * * [misc]simplify: iters left: 6 (19 enodes) 1540201966.383 * * [misc]simplify: iters left: 5 (30 enodes) 1540201966.389 * * [misc]simplify: iters left: 4 (38 enodes) 1540201966.394 * * [misc]simplify: iters left: 3 (44 enodes) 1540201966.399 * * [misc]simplify: iters left: 2 (55 enodes) 1540201966.407 * * [misc]simplify: iters left: 1 (82 enodes) 1540201966.423 * [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))))))) 1540201966.423 * [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))))))) 1540201966.424 * [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))))) 1540201966.424 * * [misc]simplify: iters left: 6 (18 enodes) 1540201966.426 * * [misc]simplify: iters left: 5 (25 enodes) 1540201966.430 * * [misc]simplify: iters left: 4 (35 enodes) 1540201966.434 * * [misc]simplify: iters left: 3 (49 enodes) 1540201966.441 * * [misc]simplify: iters left: 2 (60 enodes) 1540201966.448 * * [misc]simplify: iters left: 1 (75 enodes) 1540201966.468 * [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)))))) 1540201966.468 * [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)))))))) 1540201966.469 * * * * [misc]progress: [ 439 / 6878 ] simplifiying candidate # 1540201966.469 * [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))) 1540201966.469 * * [misc]simplify: iters left: 6 (19 enodes) 1540201966.476 * * [misc]simplify: iters left: 5 (29 enodes) 1540201966.485 * * [misc]simplify: iters left: 4 (45 enodes) 1540201966.496 * * [misc]simplify: iters left: 3 (76 enodes) 1540201966.510 * * [misc]simplify: iters left: 2 (131 enodes) 1540201966.535 * * [misc]simplify: iters left: 1 (185 enodes) 1540201966.600 * [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))))))) 1540201966.600 * [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))))))) 1540201966.600 * [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))))) 1540201966.600 * * [misc]simplify: iters left: 6 (19 enodes) 1540201966.606 * * [misc]simplify: iters left: 5 (26 enodes) 1540201966.613 * * [misc]simplify: iters left: 4 (36 enodes) 1540201966.619 * * [misc]simplify: iters left: 3 (50 enodes) 1540201966.625 * * [misc]simplify: iters left: 2 (61 enodes) 1540201966.632 * * [misc]simplify: iters left: 1 (76 enodes) 1540201966.645 * [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)))))) 1540201966.646 * [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)))))))) 1540201966.646 * * * * [misc]progress: [ 440 / 6878 ] simplifiying candidate # 1540201966.646 * [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))) 1540201966.646 * * [misc]simplify: iters left: 6 (19 enodes) 1540201966.653 * * [misc]simplify: iters left: 5 (29 enodes) 1540201966.661 * * [misc]simplify: iters left: 4 (45 enodes) 1540201966.675 * * [misc]simplify: iters left: 3 (76 enodes) 1540201966.701 * * [misc]simplify: iters left: 2 (131 enodes) 1540201966.721 * * [misc]simplify: iters left: 1 (185 enodes) 1540201966.763 * [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))))))) 1540201966.763 * [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))))))) 1540201966.764 * [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))))) 1540201966.764 * * [misc]simplify: iters left: 6 (19 enodes) 1540201966.767 * * [misc]simplify: iters left: 5 (26 enodes) 1540201966.770 * * [misc]simplify: iters left: 4 (36 enodes) 1540201966.775 * * [misc]simplify: iters left: 3 (50 enodes) 1540201966.788 * * [misc]simplify: iters left: 2 (61 enodes) 1540201966.802 * * [misc]simplify: iters left: 1 (76 enodes) 1540201966.813 * [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)))))) 1540201966.813 * [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)))))))) 1540201966.814 * * * * [misc]progress: [ 441 / 6878 ] simplifiying candidate # 1540201966.814 * [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))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540201966.814 * * [misc]simplify: iters left: 6 (21 enodes) 1540201966.818 * * [misc]simplify: iters left: 5 (32 enodes) 1540201966.823 * * [misc]simplify: iters left: 4 (54 enodes) 1540201966.835 * * [misc]simplify: iters left: 3 (110 enodes) 1540201966.875 * * [misc]simplify: iters left: 2 (247 enodes) 1540201966.985 * * [misc]simplify: iters left: 1 (485 enodes) 1540201967.277 * [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))))))) 1540201967.278 * [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)))))))) 1540201967.278 * [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)))))) 1540201967.278 * * [misc]simplify: iters left: 6 (20 enodes) 1540201967.281 * * [misc]simplify: iters left: 5 (27 enodes) 1540201967.285 * * [misc]simplify: iters left: 4 (37 enodes) 1540201967.290 * * [misc]simplify: iters left: 3 (51 enodes) 1540201967.296 * * [misc]simplify: iters left: 2 (62 enodes) 1540201967.304 * * [misc]simplify: iters left: 1 (77 enodes) 1540201967.322 * [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)))))) 1540201967.322 * [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)))))))) 1540201967.322 * * * * [misc]progress: [ 442 / 6878 ] simplifiying candidate # 1540201967.322 * [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)))))) 1540201967.323 * * [misc]simplify: iters left: 6 (20 enodes) 1540201967.331 * * [misc]simplify: iters left: 5 (29 enodes) 1540201967.339 * * [misc]simplify: iters left: 4 (45 enodes) 1540201967.346 * * [misc]simplify: iters left: 3 (76 enodes) 1540201967.359 * * [misc]simplify: iters left: 2 (131 enodes) 1540201967.386 * * [misc]simplify: iters left: 1 (185 enodes) 1540201967.429 * [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))))))) 1540201967.429 * [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)))))))) 1540201967.429 * [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)))))) 1540201967.429 * * [misc]simplify: iters left: 6 (20 enodes) 1540201967.432 * * [misc]simplify: iters left: 5 (27 enodes) 1540201967.435 * * [misc]simplify: iters left: 4 (37 enodes) 1540201967.440 * * [misc]simplify: iters left: 3 (51 enodes) 1540201967.447 * * [misc]simplify: iters left: 2 (62 enodes) 1540201967.454 * * [misc]simplify: iters left: 1 (77 enodes) 1540201967.473 * [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)))))) 1540201967.473 * [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)))))))) 1540201967.473 * * * * [misc]progress: [ 443 / 6878 ] simplifiying candidate # 1540201967.473 * [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)) 1540201967.473 * * [misc]simplify: iters left: 6 (19 enodes) 1540201967.479 * * [misc]simplify: iters left: 5 (30 enodes) 1540201967.488 * * [misc]simplify: iters left: 4 (49 enodes) 1540201967.496 * * [misc]simplify: iters left: 3 (69 enodes) 1540201967.507 * * [misc]simplify: iters left: 2 (104 enodes) 1540201967.524 * * [misc]simplify: iters left: 1 (191 enodes) 1540201967.596 * [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))))))) 1540201967.596 * [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))))))) 1540201967.596 * [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))))) 1540201967.596 * * [misc]simplify: iters left: 6 (19 enodes) 1540201967.599 * * [misc]simplify: iters left: 5 (26 enodes) 1540201967.603 * * [misc]simplify: iters left: 4 (36 enodes) 1540201967.608 * * [misc]simplify: iters left: 3 (50 enodes) 1540201967.614 * * [misc]simplify: iters left: 2 (61 enodes) 1540201967.621 * * [misc]simplify: iters left: 1 (76 enodes) 1540201967.641 * [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)))))) 1540201967.641 * [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)))))))) 1540201967.642 * * * * [misc]progress: [ 444 / 6878 ] simplifiying candidate # 1540201967.642 * [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))) 1540201967.642 * * [misc]simplify: iters left: 6 (19 enodes) 1540201967.646 * * [misc]simplify: iters left: 5 (31 enodes) 1540201967.651 * * [misc]simplify: iters left: 4 (45 enodes) 1540201967.659 * * [misc]simplify: iters left: 3 (84 enodes) 1540201967.674 * * [misc]simplify: iters left: 2 (140 enodes) 1540201967.696 * * [misc]simplify: iters left: 1 (175 enodes) 1540201967.726 * [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))))))) 1540201967.726 * [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))))))) 1540201967.726 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201967.726 * * [misc]simplify: iters left: 6 (18 enodes) 1540201967.733 * * [misc]simplify: iters left: 5 (25 enodes) 1540201967.740 * * [misc]simplify: iters left: 4 (35 enodes) 1540201967.749 * * [misc]simplify: iters left: 3 (49 enodes) 1540201967.761 * * [misc]simplify: iters left: 2 (60 enodes) 1540201967.776 * * [misc]simplify: iters left: 1 (75 enodes) 1540201967.797 * [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)))))) 1540201967.797 * [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)))))))) 1540201967.797 * * * * [misc]progress: [ 445 / 6878 ] simplifiying candidate # 1540201967.797 * [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))) 1540201967.798 * * [misc]simplify: iters left: 6 (19 enodes) 1540201967.804 * * [misc]simplify: iters left: 5 (31 enodes) 1540201967.814 * * [misc]simplify: iters left: 4 (45 enodes) 1540201967.827 * * [misc]simplify: iters left: 3 (84 enodes) 1540201967.855 * * [misc]simplify: iters left: 2 (140 enodes) 1540201967.903 * * [misc]simplify: iters left: 1 (175 enodes) 1540201967.938 * [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))))))) 1540201967.938 * [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))))))) 1540201967.938 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201967.938 * * [misc]simplify: iters left: 6 (18 enodes) 1540201967.940 * * [misc]simplify: iters left: 5 (25 enodes) 1540201967.944 * * [misc]simplify: iters left: 4 (35 enodes) 1540201967.949 * * [misc]simplify: iters left: 3 (49 enodes) 1540201967.955 * * [misc]simplify: iters left: 2 (60 enodes) 1540201967.964 * * [misc]simplify: iters left: 1 (75 enodes) 1540201967.982 * [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)))))) 1540201967.982 * [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)))))))) 1540201967.982 * * * * [misc]progress: [ 446 / 6878 ] simplifiying candidate # 1540201967.982 * [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))))))) 1540201967.982 * * [misc]simplify: iters left: 6 (21 enodes) 1540201967.985 * * [misc]simplify: iters left: 5 (34 enodes) 1540201967.990 * * [misc]simplify: iters left: 4 (54 enodes) 1540201967.999 * * [misc]simplify: iters left: 3 (130 enodes) 1540201968.047 * * [misc]simplify: iters left: 2 (288 enodes) 1540201968.193 * [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)))))) 1540201968.193 * [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)))))))) 1540201968.193 * [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)))))) 1540201968.193 * * [misc]simplify: iters left: 6 (19 enodes) 1540201968.196 * * [misc]simplify: iters left: 5 (26 enodes) 1540201968.199 * * [misc]simplify: iters left: 4 (36 enodes) 1540201968.204 * * [misc]simplify: iters left: 3 (50 enodes) 1540201968.213 * * [misc]simplify: iters left: 2 (61 enodes) 1540201968.223 * * [misc]simplify: iters left: 1 (76 enodes) 1540201968.235 * [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)))))) 1540201968.235 * [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)))))))) 1540201968.235 * * * * [misc]progress: [ 447 / 6878 ] simplifiying candidate # 1540201968.235 * [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)))))) 1540201968.235 * * [misc]simplify: iters left: 6 (20 enodes) 1540201968.238 * * [misc]simplify: iters left: 5 (31 enodes) 1540201968.242 * * [misc]simplify: iters left: 4 (45 enodes) 1540201968.250 * * [misc]simplify: iters left: 3 (84 enodes) 1540201968.264 * * [misc]simplify: iters left: 2 (142 enodes) 1540201968.293 * * [misc]simplify: iters left: 1 (236 enodes) 1540201968.341 * [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)))))) 1540201968.341 * [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)))))))) 1540201968.342 * [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)))))) 1540201968.342 * * [misc]simplify: iters left: 6 (19 enodes) 1540201968.344 * * [misc]simplify: iters left: 5 (26 enodes) 1540201968.348 * * [misc]simplify: iters left: 4 (36 enodes) 1540201968.353 * * [misc]simplify: iters left: 3 (50 enodes) 1540201968.363 * * [misc]simplify: iters left: 2 (61 enodes) 1540201968.378 * * [misc]simplify: iters left: 1 (76 enodes) 1540201968.400 * [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)))))) 1540201968.402 * [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)))))))) 1540201968.402 * * * * [misc]progress: [ 448 / 6878 ] simplifiying candidate # 1540201968.402 * [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)) 1540201968.402 * * [misc]simplify: iters left: 6 (18 enodes) 1540201968.409 * * [misc]simplify: iters left: 5 (27 enodes) 1540201968.416 * * [misc]simplify: iters left: 4 (35 enodes) 1540201968.424 * * [misc]simplify: iters left: 3 (38 enodes) 1540201968.428 * * [misc]simplify: iters left: 2 (41 enodes) 1540201968.432 * [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)))))) 1540201968.432 * [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))))))) 1540201968.432 * [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))))) 1540201968.433 * * [misc]simplify: iters left: 6 (18 enodes) 1540201968.435 * * [misc]simplify: iters left: 5 (25 enodes) 1540201968.438 * * [misc]simplify: iters left: 4 (35 enodes) 1540201968.443 * * [misc]simplify: iters left: 3 (49 enodes) 1540201968.449 * * [misc]simplify: iters left: 2 (60 enodes) 1540201968.456 * * [misc]simplify: iters left: 1 (75 enodes) 1540201968.467 * [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)))))) 1540201968.467 * [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)))))))) 1540201968.467 * * * * [misc]progress: [ 449 / 6878 ] simplifiying candidate # 1540201968.467 * [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) 1540201968.468 * * [misc]simplify: iters left: 6 (17 enodes) 1540201968.470 * * [misc]simplify: iters left: 5 (26 enodes) 1540201968.473 * * [misc]simplify: iters left: 4 (34 enodes) 1540201968.478 * * [misc]simplify: iters left: 3 (38 enodes) 1540201968.482 * * [misc]simplify: iters left: 2 (41 enodes) 1540201968.487 * [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))))))) 1540201968.487 * [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))))))) 1540201968.487 * [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))))) 1540201968.487 * * [misc]simplify: iters left: 6 (18 enodes) 1540201968.490 * * [misc]simplify: iters left: 5 (25 enodes) 1540201968.493 * * [misc]simplify: iters left: 4 (35 enodes) 1540201968.498 * * [misc]simplify: iters left: 3 (49 enodes) 1540201968.508 * * [misc]simplify: iters left: 2 (60 enodes) 1540201968.523 * * [misc]simplify: iters left: 1 (75 enodes) 1540201968.546 * [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)))))) 1540201968.546 * [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)))))))) 1540201968.546 * * * * [misc]progress: [ 450 / 6878 ] simplifiying candidate # 1540201968.546 * [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))) 1540201968.546 * * [misc]simplify: iters left: 6 (16 enodes) 1540201968.551 * * [misc]simplify: iters left: 5 (23 enodes) 1540201968.558 * * [misc]simplify: iters left: 4 (31 enodes) 1540201968.566 * * [misc]simplify: iters left: 3 (34 enodes) 1540201968.575 * * [misc]simplify: iters left: 2 (40 enodes) 1540201968.587 * [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)))) 1540201968.587 * [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))))))) 1540201968.587 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540201968.588 * * [misc]simplify: iters left: 6 (19 enodes) 1540201968.594 * * [misc]simplify: iters left: 5 (28 enodes) 1540201968.602 * * [misc]simplify: iters left: 4 (40 enodes) 1540201968.614 * * [misc]simplify: iters left: 3 (59 enodes) 1540201968.623 * * [misc]simplify: iters left: 2 (88 enodes) 1540201968.636 * * [misc]simplify: iters left: 1 (175 enodes) 1540201968.669 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201968.669 * [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)))))))) 1540201968.669 * * * * [misc]progress: [ 451 / 6878 ] simplifiying candidate # 1540201968.669 * [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))) 1540201968.669 * * [misc]simplify: iters left: 6 (18 enodes) 1540201968.673 * * [misc]simplify: iters left: 5 (28 enodes) 1540201968.677 * * [misc]simplify: iters left: 4 (44 enodes) 1540201968.689 * * [misc]simplify: iters left: 3 (75 enodes) 1540201968.713 * * [misc]simplify: iters left: 2 (130 enodes) 1540201968.751 * * [misc]simplify: iters left: 1 (184 enodes) 1540201968.797 * [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))))))) 1540201968.797 * [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))))) 1540201968.797 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540201968.797 * * [misc]simplify: iters left: 6 (17 enodes) 1540201968.799 * * [misc]simplify: iters left: 5 (22 enodes) 1540201968.802 * * [misc]simplify: iters left: 4 (26 enodes) 1540201968.805 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201968.805 * [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)))))))) 1540201968.806 * * * * [misc]progress: [ 452 / 6878 ] simplifiying candidate # 1540201968.806 * [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))))))) 1540201968.806 * * [misc]simplify: iters left: 6 (19 enodes) 1540201968.809 * * [misc]simplify: iters left: 5 (26 enodes) 1540201968.812 * * [misc]simplify: iters left: 4 (35 enodes) 1540201968.816 * * [misc]simplify: iters left: 3 (40 enodes) 1540201968.821 * * [misc]simplify: iters left: 2 (41 enodes) 1540201968.826 * [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))))))) 1540201968.827 * [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)))))))) 1540201968.827 * [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)))))) 1540201968.827 * * [misc]simplify: iters left: 6 (19 enodes) 1540201968.829 * * [misc]simplify: iters left: 5 (24 enodes) 1540201968.832 * * [misc]simplify: iters left: 4 (28 enodes) 1540201968.836 * [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)))))) 1540201968.836 * [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)))))))) 1540201968.836 * * * * [misc]progress: [ 453 / 6878 ] simplifiying candidate # 1540201968.837 * [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)))))) 1540201968.837 * * [misc]simplify: iters left: 6 (18 enodes) 1540201968.839 * * [misc]simplify: iters left: 5 (23 enodes) 1540201968.842 * * [misc]simplify: iters left: 4 (29 enodes) 1540201968.846 * [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)))))) 1540201968.846 * [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)))))))) 1540201968.846 * [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)))))) 1540201968.846 * * [misc]simplify: iters left: 6 (19 enodes) 1540201968.849 * * [misc]simplify: iters left: 5 (24 enodes) 1540201968.852 * * [misc]simplify: iters left: 4 (28 enodes) 1540201968.857 * [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)))))) 1540201968.857 * [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)))))))) 1540201968.857 * * * * [misc]progress: [ 454 / 6878 ] simplifiying candidate # 1540201968.857 * [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))) 1540201968.858 * * [misc]simplify: iters left: 6 (19 enodes) 1540201968.861 * * [misc]simplify: iters left: 5 (29 enodes) 1540201968.866 * * [misc]simplify: iters left: 4 (48 enodes) 1540201968.874 * * [misc]simplify: iters left: 3 (89 enodes) 1540201968.889 * * [misc]simplify: iters left: 2 (150 enodes) 1540201968.924 * * [misc]simplify: iters left: 1 (197 enodes) 1540201968.970 * [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)))))) 1540201968.970 * [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))))))) 1540201968.970 * [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))))) 1540201968.970 * * [misc]simplify: iters left: 6 (19 enodes) 1540201968.973 * * [misc]simplify: iters left: 5 (26 enodes) 1540201968.976 * * [misc]simplify: iters left: 4 (36 enodes) 1540201968.981 * * [misc]simplify: iters left: 3 (50 enodes) 1540201968.987 * * [misc]simplify: iters left: 2 (61 enodes) 1540201968.998 * * [misc]simplify: iters left: 1 (76 enodes) 1540201969.017 * [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)))))) 1540201969.017 * [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)))))))) 1540201969.017 * * * * [misc]progress: [ 455 / 6878 ] simplifiying candidate # 1540201969.017 * [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))) 1540201969.017 * * [misc]simplify: iters left: 6 (19 enodes) 1540201969.021 * * [misc]simplify: iters left: 5 (29 enodes) 1540201969.026 * * [misc]simplify: iters left: 4 (48 enodes) 1540201969.034 * * [misc]simplify: iters left: 3 (89 enodes) 1540201969.058 * * [misc]simplify: iters left: 2 (150 enodes) 1540201969.109 * * [misc]simplify: iters left: 1 (197 enodes) 1540201969.155 * [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)))))) 1540201969.155 * [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))))))) 1540201969.155 * [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))))) 1540201969.156 * * [misc]simplify: iters left: 6 (19 enodes) 1540201969.158 * * [misc]simplify: iters left: 5 (26 enodes) 1540201969.162 * * [misc]simplify: iters left: 4 (36 enodes) 1540201969.167 * * [misc]simplify: iters left: 3 (50 enodes) 1540201969.173 * * [misc]simplify: iters left: 2 (61 enodes) 1540201969.181 * * [misc]simplify: iters left: 1 (76 enodes) 1540201969.193 * [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)))))) 1540201969.193 * [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)))))))) 1540201969.193 * * * * [misc]progress: [ 456 / 6878 ] simplifiying candidate # 1540201969.194 * [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))))))) 1540201969.194 * * [misc]simplify: iters left: 6 (21 enodes) 1540201969.197 * * [misc]simplify: iters left: 5 (34 enodes) 1540201969.202 * * [misc]simplify: iters left: 4 (70 enodes) 1540201969.214 * * [misc]simplify: iters left: 3 (153 enodes) 1540201969.252 * * [misc]simplify: iters left: 2 (315 enodes) 1540201969.364 * [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))))))) 1540201969.364 * [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)))))))) 1540201969.364 * [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)))))) 1540201969.364 * * [misc]simplify: iters left: 6 (20 enodes) 1540201969.367 * * [misc]simplify: iters left: 5 (27 enodes) 1540201969.371 * * [misc]simplify: iters left: 4 (37 enodes) 1540201969.376 * * [misc]simplify: iters left: 3 (51 enodes) 1540201969.384 * * [misc]simplify: iters left: 2 (62 enodes) 1540201969.398 * * [misc]simplify: iters left: 1 (77 enodes) 1540201969.424 * [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)))))) 1540201969.424 * [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)))))))) 1540201969.424 * * * * [misc]progress: [ 457 / 6878 ] simplifiying candidate # 1540201969.424 * [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)))))) 1540201969.425 * * [misc]simplify: iters left: 6 (20 enodes) 1540201969.430 * * [misc]simplify: iters left: 5 (29 enodes) 1540201969.438 * * [misc]simplify: iters left: 4 (48 enodes) 1540201969.452 * * [misc]simplify: iters left: 3 (89 enodes) 1540201969.479 * * [misc]simplify: iters left: 2 (150 enodes) 1540201969.524 * * [misc]simplify: iters left: 1 (197 enodes) 1540201969.579 * [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))))) 1540201969.579 * [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)))))))) 1540201969.579 * [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)))))) 1540201969.580 * * [misc]simplify: iters left: 6 (20 enodes) 1540201969.585 * * [misc]simplify: iters left: 5 (27 enodes) 1540201969.593 * * [misc]simplify: iters left: 4 (37 enodes) 1540201969.603 * * [misc]simplify: iters left: 3 (51 enodes) 1540201969.609 * * [misc]simplify: iters left: 2 (62 enodes) 1540201969.617 * * [misc]simplify: iters left: 1 (77 enodes) 1540201969.629 * [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)))))) 1540201969.629 * [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)))))))) 1540201969.629 * * * * [misc]progress: [ 458 / 6878 ] simplifiying candidate # 1540201969.629 * [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)) 1540201969.629 * * [misc]simplify: iters left: 6 (19 enodes) 1540201969.632 * * [misc]simplify: iters left: 5 (30 enodes) 1540201969.641 * * [misc]simplify: iters left: 4 (51 enodes) 1540201969.648 * * [misc]simplify: iters left: 3 (104 enodes) 1540201969.680 * * [misc]simplify: iters left: 2 (283 enodes) 1540201969.803 * [exit]simplify: Simplified to (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201969.803 * [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))))))) 1540201969.803 * [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))))) 1540201969.803 * * [misc]simplify: iters left: 6 (19 enodes) 1540201969.806 * * [misc]simplify: iters left: 5 (26 enodes) 1540201969.809 * * [misc]simplify: iters left: 4 (36 enodes) 1540201969.814 * * [misc]simplify: iters left: 3 (50 enodes) 1540201969.820 * * [misc]simplify: iters left: 2 (61 enodes) 1540201969.827 * * [misc]simplify: iters left: 1 (76 enodes) 1540201969.838 * [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)))))) 1540201969.839 * [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)))))))) 1540201969.839 * * * * [misc]progress: [ 459 / 6878 ] simplifiying candidate # 1540201969.839 * [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))) 1540201969.839 * * [misc]simplify: iters left: 6 (20 enodes) 1540201969.842 * * [misc]simplify: iters left: 5 (29 enodes) 1540201969.851 * * [misc]simplify: iters left: 4 (41 enodes) 1540201969.865 * * [misc]simplify: iters left: 3 (55 enodes) 1540201969.876 * * [misc]simplify: iters left: 2 (66 enodes) 1540201969.884 * * [misc]simplify: iters left: 1 (81 enodes) 1540201969.896 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201969.896 * [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))))))) 1540201969.897 * [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))))) 1540201969.897 * * [misc]simplify: iters left: 6 (20 enodes) 1540201969.899 * * [misc]simplify: iters left: 5 (27 enodes) 1540201969.903 * * [misc]simplify: iters left: 4 (37 enodes) 1540201969.909 * * [misc]simplify: iters left: 3 (51 enodes) 1540201969.921 * * [misc]simplify: iters left: 2 (62 enodes) 1540201969.928 * * [misc]simplify: iters left: 1 (77 enodes) 1540201969.940 * [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)))))) 1540201969.940 * [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)))))))) 1540201969.940 * * * * [misc]progress: [ 460 / 6878 ] simplifiying candidate # 1540201969.940 * [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))) 1540201969.940 * * [misc]simplify: iters left: 6 (20 enodes) 1540201969.945 * * [misc]simplify: iters left: 5 (29 enodes) 1540201969.949 * * [misc]simplify: iters left: 4 (41 enodes) 1540201969.958 * * [misc]simplify: iters left: 3 (55 enodes) 1540201969.972 * * [misc]simplify: iters left: 2 (66 enodes) 1540201969.990 * * [misc]simplify: iters left: 1 (81 enodes) 1540201970.015 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201970.015 * [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))))))) 1540201970.016 * [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))))) 1540201970.016 * * [misc]simplify: iters left: 6 (20 enodes) 1540201970.021 * * [misc]simplify: iters left: 5 (27 enodes) 1540201970.029 * * [misc]simplify: iters left: 4 (37 enodes) 1540201970.040 * * [misc]simplify: iters left: 3 (51 enodes) 1540201970.053 * * [misc]simplify: iters left: 2 (62 enodes) 1540201970.062 * * [misc]simplify: iters left: 1 (77 enodes) 1540201970.074 * [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)))))) 1540201970.074 * [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)))))))) 1540201970.074 * * * * [misc]progress: [ 461 / 6878 ] simplifiying candidate # 1540201970.074 * [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))))))) 1540201970.074 * * [misc]simplify: iters left: 6 (22 enodes) 1540201970.078 * * [misc]simplify: iters left: 5 (32 enodes) 1540201970.082 * * [misc]simplify: iters left: 4 (50 enodes) 1540201970.096 * * [misc]simplify: iters left: 3 (83 enodes) 1540201970.123 * * [misc]simplify: iters left: 2 (138 enodes) 1540201970.149 * * [misc]simplify: iters left: 1 (203 enodes) 1540201970.200 * [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)))))) 1540201970.200 * [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)))))))) 1540201970.200 * [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)))))) 1540201970.200 * * [misc]simplify: iters left: 6 (21 enodes) 1540201970.203 * * [misc]simplify: iters left: 5 (28 enodes) 1540201970.211 * * [misc]simplify: iters left: 4 (38 enodes) 1540201970.222 * * [misc]simplify: iters left: 3 (52 enodes) 1540201970.234 * * [misc]simplify: iters left: 2 (63 enodes) 1540201970.250 * * [misc]simplify: iters left: 1 (78 enodes) 1540201970.275 * [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)))))) 1540201970.275 * [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)))))))) 1540201970.275 * * * * [misc]progress: [ 462 / 6878 ] simplifiying candidate # 1540201970.275 * [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)))))) 1540201970.275 * * [misc]simplify: iters left: 6 (21 enodes) 1540201970.281 * * [misc]simplify: iters left: 5 (29 enodes) 1540201970.290 * * [misc]simplify: iters left: 4 (41 enodes) 1540201970.301 * * [misc]simplify: iters left: 3 (55 enodes) 1540201970.314 * * [misc]simplify: iters left: 2 (66 enodes) 1540201970.327 * * [misc]simplify: iters left: 1 (81 enodes) 1540201970.339 * [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)))))) 1540201970.339 * [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)))))))) 1540201970.339 * [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)))))) 1540201970.339 * * [misc]simplify: iters left: 6 (21 enodes) 1540201970.342 * * [misc]simplify: iters left: 5 (28 enodes) 1540201970.346 * * [misc]simplify: iters left: 4 (38 enodes) 1540201970.351 * * [misc]simplify: iters left: 3 (52 enodes) 1540201970.358 * * [misc]simplify: iters left: 2 (63 enodes) 1540201970.366 * * [misc]simplify: iters left: 1 (78 enodes) 1540201970.378 * [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)))))) 1540201970.378 * [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)))))))) 1540201970.378 * * * * [misc]progress: [ 463 / 6878 ] simplifiying candidate # 1540201970.378 * [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)) 1540201970.378 * * [misc]simplify: iters left: 6 (20 enodes) 1540201970.383 * * [misc]simplify: iters left: 5 (29 enodes) 1540201970.392 * * [misc]simplify: iters left: 4 (42 enodes) 1540201970.404 * * [misc]simplify: iters left: 3 (58 enodes) 1540201970.419 * * [misc]simplify: iters left: 2 (72 enodes) 1540201970.440 * * [misc]simplify: iters left: 1 (108 enodes) 1540201970.466 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201970.466 * [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))))))) 1540201970.466 * [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))))) 1540201970.467 * * [misc]simplify: iters left: 6 (20 enodes) 1540201970.469 * * [misc]simplify: iters left: 5 (27 enodes) 1540201970.473 * * [misc]simplify: iters left: 4 (37 enodes) 1540201970.478 * * [misc]simplify: iters left: 3 (51 enodes) 1540201970.484 * * [misc]simplify: iters left: 2 (62 enodes) 1540201970.492 * * [misc]simplify: iters left: 1 (77 enodes) 1540201970.504 * [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)))))) 1540201970.504 * [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)))))))) 1540201970.504 * * * * [misc]progress: [ 464 / 6878 ] simplifiying candidate # 1540201970.504 * [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))) 1540201970.504 * * [misc]simplify: iters left: 6 (18 enodes) 1540201970.507 * * [misc]simplify: iters left: 5 (26 enodes) 1540201970.512 * * [misc]simplify: iters left: 4 (38 enodes) 1540201970.523 * * [misc]simplify: iters left: 3 (52 enodes) 1540201970.536 * * [misc]simplify: iters left: 2 (63 enodes) 1540201970.547 * * [misc]simplify: iters left: 1 (78 enodes) 1540201970.559 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201970.559 * [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))))))) 1540201970.559 * [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))))) 1540201970.559 * * [misc]simplify: iters left: 6 (19 enodes) 1540201970.561 * * [misc]simplify: iters left: 5 (26 enodes) 1540201970.565 * * [misc]simplify: iters left: 4 (36 enodes) 1540201970.570 * * [misc]simplify: iters left: 3 (50 enodes) 1540201970.576 * * [misc]simplify: iters left: 2 (61 enodes) 1540201970.583 * * [misc]simplify: iters left: 1 (76 enodes) 1540201970.594 * [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)))))) 1540201970.594 * [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)))))))) 1540201970.594 * * * * [misc]progress: [ 465 / 6878 ] simplifiying candidate # 1540201970.594 * [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))) 1540201970.594 * * [misc]simplify: iters left: 6 (18 enodes) 1540201970.597 * * [misc]simplify: iters left: 5 (26 enodes) 1540201970.602 * * [misc]simplify: iters left: 4 (38 enodes) 1540201970.611 * * [misc]simplify: iters left: 3 (52 enodes) 1540201970.625 * * [misc]simplify: iters left: 2 (63 enodes) 1540201970.638 * * [misc]simplify: iters left: 1 (78 enodes) 1540201970.650 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201970.650 * [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))))))) 1540201970.650 * [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))))) 1540201970.650 * * [misc]simplify: iters left: 6 (19 enodes) 1540201970.652 * * [misc]simplify: iters left: 5 (26 enodes) 1540201970.656 * * [misc]simplify: iters left: 4 (36 enodes) 1540201970.661 * * [misc]simplify: iters left: 3 (50 enodes) 1540201970.667 * * [misc]simplify: iters left: 2 (61 enodes) 1540201970.677 * * [misc]simplify: iters left: 1 (76 enodes) 1540201970.700 * [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)))))) 1540201970.700 * [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)))))))) 1540201970.700 * * * * [misc]progress: [ 466 / 6878 ] simplifiying candidate # 1540201970.700 * [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))))))) 1540201970.700 * * [misc]simplify: iters left: 6 (20 enodes) 1540201970.706 * * [misc]simplify: iters left: 5 (29 enodes) 1540201970.715 * * [misc]simplify: iters left: 4 (47 enodes) 1540201970.730 * * [misc]simplify: iters left: 3 (80 enodes) 1540201970.757 * * [misc]simplify: iters left: 2 (135 enodes) 1540201970.796 * * [misc]simplify: iters left: 1 (193 enodes) 1540201970.850 * [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))))))) 1540201970.850 * [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)))))))) 1540201970.850 * [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)))))) 1540201970.851 * * [misc]simplify: iters left: 6 (20 enodes) 1540201970.856 * * [misc]simplify: iters left: 5 (27 enodes) 1540201970.862 * * [misc]simplify: iters left: 4 (37 enodes) 1540201970.866 * * [misc]simplify: iters left: 3 (51 enodes) 1540201970.873 * * [misc]simplify: iters left: 2 (62 enodes) 1540201970.880 * * [misc]simplify: iters left: 1 (77 enodes) 1540201970.891 * [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)))))) 1540201970.891 * [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)))))))) 1540201970.891 * * * * [misc]progress: [ 467 / 6878 ] simplifiying candidate # 1540201970.891 * [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)))))) 1540201970.891 * * [misc]simplify: iters left: 6 (19 enodes) 1540201970.894 * * [misc]simplify: iters left: 5 (26 enodes) 1540201970.898 * * [misc]simplify: iters left: 4 (38 enodes) 1540201970.903 * * [misc]simplify: iters left: 3 (52 enodes) 1540201970.916 * * [misc]simplify: iters left: 2 (63 enodes) 1540201970.930 * * [misc]simplify: iters left: 1 (78 enodes) 1540201970.951 * [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)))))) 1540201970.951 * [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)))))))) 1540201970.951 * [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)))))) 1540201970.951 * * [misc]simplify: iters left: 6 (20 enodes) 1540201970.957 * * [misc]simplify: iters left: 5 (27 enodes) 1540201970.961 * * [misc]simplify: iters left: 4 (37 enodes) 1540201970.967 * * [misc]simplify: iters left: 3 (51 enodes) 1540201970.973 * * [misc]simplify: iters left: 2 (62 enodes) 1540201970.980 * * [misc]simplify: iters left: 1 (77 enodes) 1540201970.991 * [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)))))) 1540201970.991 * [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)))))))) 1540201970.991 * * * * [misc]progress: [ 468 / 6878 ] simplifiying candidate # 1540201970.991 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201970.991 * * [misc]simplify: iters left: 6 (18 enodes) 1540201970.994 * * [misc]simplify: iters left: 5 (27 enodes) 1540201970.998 * * [misc]simplify: iters left: 4 (43 enodes) 1540201971.004 * * [misc]simplify: iters left: 3 (52 enodes) 1540201971.010 * * [misc]simplify: iters left: 2 (65 enodes) 1540201971.018 * * [misc]simplify: iters left: 1 (90 enodes) 1540201971.032 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201971.032 * [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))))))) 1540201971.032 * [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))))) 1540201971.032 * * [misc]simplify: iters left: 6 (19 enodes) 1540201971.037 * * [misc]simplify: iters left: 5 (26 enodes) 1540201971.044 * * [misc]simplify: iters left: 4 (36 enodes) 1540201971.053 * * [misc]simplify: iters left: 3 (50 enodes) 1540201971.060 * * [misc]simplify: iters left: 2 (61 enodes) 1540201971.068 * * [misc]simplify: iters left: 1 (76 enodes) 1540201971.080 * [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)))))) 1540201971.080 * [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)))))))) 1540201971.080 * * * * [misc]progress: [ 469 / 6878 ] simplifiying candidate # 1540201971.080 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540201971.080 * * [misc]simplify: iters left: 6 (19 enodes) 1540201971.084 * * [misc]simplify: iters left: 5 (29 enodes) 1540201971.088 * * [misc]simplify: iters left: 4 (44 enodes) 1540201971.094 * * [misc]simplify: iters left: 3 (60 enodes) 1540201971.102 * * [misc]simplify: iters left: 2 (79 enodes) 1540201971.116 * * [misc]simplify: iters left: 1 (106 enodes) 1540201971.140 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201971.140 * [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))))))) 1540201971.141 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201971.141 * * [misc]simplify: iters left: 6 (18 enodes) 1540201971.143 * * [misc]simplify: iters left: 5 (25 enodes) 1540201971.147 * * [misc]simplify: iters left: 4 (35 enodes) 1540201971.151 * * [misc]simplify: iters left: 3 (49 enodes) 1540201971.157 * * [misc]simplify: iters left: 2 (60 enodes) 1540201971.165 * * [misc]simplify: iters left: 1 (75 enodes) 1540201971.176 * [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)))))) 1540201971.176 * [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)))))))) 1540201971.177 * * * * [misc]progress: [ 470 / 6878 ] simplifiying candidate # 1540201971.177 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540201971.177 * * [misc]simplify: iters left: 6 (19 enodes) 1540201971.180 * * [misc]simplify: iters left: 5 (29 enodes) 1540201971.185 * * [misc]simplify: iters left: 4 (44 enodes) 1540201971.194 * * [misc]simplify: iters left: 3 (60 enodes) 1540201971.210 * * [misc]simplify: iters left: 2 (79 enodes) 1540201971.230 * * [misc]simplify: iters left: 1 (106 enodes) 1540201971.256 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201971.256 * [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))))))) 1540201971.256 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201971.256 * * [misc]simplify: iters left: 6 (18 enodes) 1540201971.262 * * [misc]simplify: iters left: 5 (25 enodes) 1540201971.269 * * [misc]simplify: iters left: 4 (35 enodes) 1540201971.279 * * [misc]simplify: iters left: 3 (49 enodes) 1540201971.292 * * [misc]simplify: iters left: 2 (60 enodes) 1540201971.306 * * [misc]simplify: iters left: 1 (75 enodes) 1540201971.328 * [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)))))) 1540201971.328 * [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)))))))) 1540201971.328 * * * * [misc]progress: [ 471 / 6878 ] simplifiying candidate # 1540201971.328 * [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))))))) 1540201971.329 * * [misc]simplify: iters left: 6 (21 enodes) 1540201971.335 * * [misc]simplify: iters left: 5 (32 enodes) 1540201971.344 * * [misc]simplify: iters left: 4 (54 enodes) 1540201971.359 * * [misc]simplify: iters left: 3 (106 enodes) 1540201971.378 * * [misc]simplify: iters left: 2 (200 enodes) 1540201971.440 * * [misc]simplify: iters left: 1 (439 enodes) 1540201971.718 * [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))))) 1540201971.718 * [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)))))))) 1540201971.718 * [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)))))) 1540201971.718 * * [misc]simplify: iters left: 6 (19 enodes) 1540201971.721 * * [misc]simplify: iters left: 5 (26 enodes) 1540201971.729 * * [misc]simplify: iters left: 4 (36 enodes) 1540201971.739 * * [misc]simplify: iters left: 3 (50 enodes) 1540201971.752 * * [misc]simplify: iters left: 2 (61 enodes) 1540201971.765 * * [misc]simplify: iters left: 1 (76 enodes) 1540201971.786 * [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)))))) 1540201971.787 * [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)))))))) 1540201971.787 * * * * [misc]progress: [ 472 / 6878 ] simplifiying candidate # 1540201971.787 * [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)))))) 1540201971.787 * * [misc]simplify: iters left: 6 (20 enodes) 1540201971.793 * * [misc]simplify: iters left: 5 (29 enodes) 1540201971.796 * * [misc]simplify: iters left: 4 (44 enodes) 1540201971.802 * * [misc]simplify: iters left: 3 (59 enodes) 1540201971.809 * * [misc]simplify: iters left: 2 (75 enodes) 1540201971.818 * * [misc]simplify: iters left: 1 (113 enodes) 1540201971.834 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201971.834 * [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)))))))) 1540201971.834 * [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)))))) 1540201971.835 * * [misc]simplify: iters left: 6 (19 enodes) 1540201971.837 * * [misc]simplify: iters left: 5 (26 enodes) 1540201971.841 * * [misc]simplify: iters left: 4 (36 enodes) 1540201971.846 * * [misc]simplify: iters left: 3 (50 enodes) 1540201971.852 * * [misc]simplify: iters left: 2 (61 enodes) 1540201971.859 * * [misc]simplify: iters left: 1 (76 enodes) 1540201971.873 * [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)))))) 1540201971.873 * [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)))))))) 1540201971.874 * * * * [misc]progress: [ 473 / 6878 ] simplifiying candidate # 1540201971.874 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540201971.874 * * [misc]simplify: iters left: 6 (18 enodes) 1540201971.880 * * [misc]simplify: iters left: 5 (27 enodes) 1540201971.887 * * [misc]simplify: iters left: 4 (33 enodes) 1540201971.895 * * [misc]simplify: iters left: 3 (38 enodes) 1540201971.903 * * [misc]simplify: iters left: 2 (42 enodes) 1540201971.913 * * [misc]simplify: iters left: 1 (58 enodes) 1540201971.927 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201971.927 * [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))))))) 1540201971.927 * [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))))) 1540201971.927 * * [misc]simplify: iters left: 6 (18 enodes) 1540201971.930 * * [misc]simplify: iters left: 5 (25 enodes) 1540201971.933 * * [misc]simplify: iters left: 4 (35 enodes) 1540201971.938 * * [misc]simplify: iters left: 3 (49 enodes) 1540201971.944 * * [misc]simplify: iters left: 2 (60 enodes) 1540201971.951 * * [misc]simplify: iters left: 1 (75 enodes) 1540201971.973 * [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)))))) 1540201971.973 * [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)))))))) 1540201971.973 * * * * [misc]progress: [ 474 / 6878 ] simplifiying candidate # 1540201971.973 * [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))) 1540201971.973 * * [misc]simplify: iters left: 6 (18 enodes) 1540201971.977 * * [misc]simplify: iters left: 5 (26 enodes) 1540201971.981 * * [misc]simplify: iters left: 4 (38 enodes) 1540201971.987 * * [misc]simplify: iters left: 3 (52 enodes) 1540201971.994 * * [misc]simplify: iters left: 2 (63 enodes) 1540201972.002 * * [misc]simplify: iters left: 1 (78 enodes) 1540201972.015 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201972.015 * [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))))))) 1540201972.015 * [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))))) 1540201972.015 * * [misc]simplify: iters left: 6 (19 enodes) 1540201972.018 * * [misc]simplify: iters left: 5 (26 enodes) 1540201972.021 * * [misc]simplify: iters left: 4 (36 enodes) 1540201972.028 * * [misc]simplify: iters left: 3 (50 enodes) 1540201972.040 * * [misc]simplify: iters left: 2 (61 enodes) 1540201972.053 * * [misc]simplify: iters left: 1 (76 enodes) 1540201972.065 * [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)))))) 1540201972.065 * [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)))))))) 1540201972.065 * * * * [misc]progress: [ 475 / 6878 ] simplifiying candidate # 1540201972.065 * [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))) 1540201972.065 * * [misc]simplify: iters left: 6 (18 enodes) 1540201972.068 * * [misc]simplify: iters left: 5 (26 enodes) 1540201972.073 * * [misc]simplify: iters left: 4 (38 enodes) 1540201972.078 * * [misc]simplify: iters left: 3 (52 enodes) 1540201972.089 * * [misc]simplify: iters left: 2 (63 enodes) 1540201972.098 * * [misc]simplify: iters left: 1 (78 enodes) 1540201972.110 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201972.110 * [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))))))) 1540201972.110 * [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))))) 1540201972.111 * * [misc]simplify: iters left: 6 (19 enodes) 1540201972.113 * * [misc]simplify: iters left: 5 (26 enodes) 1540201972.117 * * [misc]simplify: iters left: 4 (36 enodes) 1540201972.123 * * [misc]simplify: iters left: 3 (50 enodes) 1540201972.136 * * [misc]simplify: iters left: 2 (61 enodes) 1540201972.150 * * [misc]simplify: iters left: 1 (76 enodes) 1540201972.172 * [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)))))) 1540201972.172 * [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)))))))) 1540201972.172 * * * * [misc]progress: [ 476 / 6878 ] simplifiying candidate # 1540201972.173 * [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))))))) 1540201972.173 * * [misc]simplify: iters left: 6 (20 enodes) 1540201972.177 * * [misc]simplify: iters left: 5 (29 enodes) 1540201972.181 * * [misc]simplify: iters left: 4 (47 enodes) 1540201972.189 * * [misc]simplify: iters left: 3 (80 enodes) 1540201972.202 * * [misc]simplify: iters left: 2 (135 enodes) 1540201972.229 * * [misc]simplify: iters left: 1 (193 enodes) 1540201972.270 * [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))))))) 1540201972.270 * [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)))))))) 1540201972.270 * [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)))))) 1540201972.270 * * [misc]simplify: iters left: 6 (20 enodes) 1540201972.273 * * [misc]simplify: iters left: 5 (27 enodes) 1540201972.277 * * [misc]simplify: iters left: 4 (37 enodes) 1540201972.284 * * [misc]simplify: iters left: 3 (51 enodes) 1540201972.297 * * [misc]simplify: iters left: 2 (62 enodes) 1540201972.312 * * [misc]simplify: iters left: 1 (77 enodes) 1540201972.335 * [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)))))) 1540201972.335 * [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)))))))) 1540201972.335 * * * * [misc]progress: [ 477 / 6878 ] simplifiying candidate # 1540201972.335 * [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)))))) 1540201972.336 * * [misc]simplify: iters left: 6 (19 enodes) 1540201972.341 * * [misc]simplify: iters left: 5 (26 enodes) 1540201972.349 * * [misc]simplify: iters left: 4 (38 enodes) 1540201972.359 * * [misc]simplify: iters left: 3 (52 enodes) 1540201972.366 * * [misc]simplify: iters left: 2 (63 enodes) 1540201972.374 * * [misc]simplify: iters left: 1 (78 enodes) 1540201972.387 * [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)))))) 1540201972.387 * [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)))))))) 1540201972.387 * [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)))))) 1540201972.387 * * [misc]simplify: iters left: 6 (20 enodes) 1540201972.393 * * [misc]simplify: iters left: 5 (27 enodes) 1540201972.401 * * [misc]simplify: iters left: 4 (37 enodes) 1540201972.411 * * [misc]simplify: iters left: 3 (51 enodes) 1540201972.426 * * [misc]simplify: iters left: 2 (62 enodes) 1540201972.442 * * [misc]simplify: iters left: 1 (77 enodes) 1540201972.465 * [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)))))) 1540201972.465 * [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)))))))) 1540201972.465 * * * * [misc]progress: [ 478 / 6878 ] simplifiying candidate # 1540201972.465 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201972.465 * * [misc]simplify: iters left: 6 (18 enodes) 1540201972.471 * * [misc]simplify: iters left: 5 (27 enodes) 1540201972.480 * * [misc]simplify: iters left: 4 (43 enodes) 1540201972.492 * * [misc]simplify: iters left: 3 (52 enodes) 1540201972.503 * * [misc]simplify: iters left: 2 (65 enodes) 1540201972.519 * * [misc]simplify: iters left: 1 (90 enodes) 1540201972.546 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201972.546 * [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))))))) 1540201972.546 * [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))))) 1540201972.546 * * [misc]simplify: iters left: 6 (19 enodes) 1540201972.552 * * [misc]simplify: iters left: 5 (26 enodes) 1540201972.559 * * [misc]simplify: iters left: 4 (36 enodes) 1540201972.570 * * [misc]simplify: iters left: 3 (50 enodes) 1540201972.582 * * [misc]simplify: iters left: 2 (61 enodes) 1540201972.598 * * [misc]simplify: iters left: 1 (76 enodes) 1540201972.621 * [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)))))) 1540201972.622 * [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)))))))) 1540201972.622 * * * * [misc]progress: [ 479 / 6878 ] simplifiying candidate # 1540201972.622 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540201972.622 * * [misc]simplify: iters left: 6 (18 enodes) 1540201972.628 * * [misc]simplify: iters left: 5 (28 enodes) 1540201972.637 * * [misc]simplify: iters left: 4 (42 enodes) 1540201972.650 * * [misc]simplify: iters left: 3 (61 enodes) 1540201972.668 * * [misc]simplify: iters left: 2 (84 enodes) 1540201972.686 * * [misc]simplify: iters left: 1 (95 enodes) 1540201972.697 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201972.697 * [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))))))) 1540201972.697 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201972.697 * * [misc]simplify: iters left: 6 (18 enodes) 1540201972.699 * * [misc]simplify: iters left: 5 (25 enodes) 1540201972.703 * * [misc]simplify: iters left: 4 (35 enodes) 1540201972.708 * * [misc]simplify: iters left: 3 (49 enodes) 1540201972.720 * * [misc]simplify: iters left: 2 (60 enodes) 1540201972.733 * * [misc]simplify: iters left: 1 (75 enodes) 1540201972.745 * [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)))))) 1540201972.745 * [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)))))))) 1540201972.745 * * * * [misc]progress: [ 480 / 6878 ] simplifiying candidate # 1540201972.746 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540201972.746 * * [misc]simplify: iters left: 6 (18 enodes) 1540201972.749 * * [misc]simplify: iters left: 5 (28 enodes) 1540201972.753 * * [misc]simplify: iters left: 4 (42 enodes) 1540201972.763 * * [misc]simplify: iters left: 3 (61 enodes) 1540201972.774 * * [misc]simplify: iters left: 2 (84 enodes) 1540201972.784 * * [misc]simplify: iters left: 1 (95 enodes) 1540201972.795 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201972.795 * [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))))))) 1540201972.795 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201972.795 * * [misc]simplify: iters left: 6 (18 enodes) 1540201972.798 * * [misc]simplify: iters left: 5 (25 enodes) 1540201972.803 * * [misc]simplify: iters left: 4 (35 enodes) 1540201972.812 * * [misc]simplify: iters left: 3 (49 enodes) 1540201972.821 * * [misc]simplify: iters left: 2 (60 enodes) 1540201972.828 * * [misc]simplify: iters left: 1 (75 enodes) 1540201972.839 * [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)))))) 1540201972.839 * [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)))))))) 1540201972.839 * * * * [misc]progress: [ 481 / 6878 ] simplifiying candidate # 1540201972.839 * [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))))))) 1540201972.839 * * [misc]simplify: iters left: 6 (20 enodes) 1540201972.842 * * [misc]simplify: iters left: 5 (31 enodes) 1540201972.849 * * [misc]simplify: iters left: 4 (51 enodes) 1540201972.865 * * [misc]simplify: iters left: 3 (90 enodes) 1540201972.888 * * [misc]simplify: iters left: 2 (165 enodes) 1540201972.935 * * [misc]simplify: iters left: 1 (367 enodes) 1540201973.114 * [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))))))) 1540201973.114 * [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)))))))) 1540201973.114 * [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)))))) 1540201973.114 * * [misc]simplify: iters left: 6 (19 enodes) 1540201973.120 * * [misc]simplify: iters left: 5 (26 enodes) 1540201973.127 * * [misc]simplify: iters left: 4 (36 enodes) 1540201973.132 * * [misc]simplify: iters left: 3 (50 enodes) 1540201973.138 * * [misc]simplify: iters left: 2 (61 enodes) 1540201973.145 * * [misc]simplify: iters left: 1 (76 enodes) 1540201973.156 * [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)))))) 1540201973.156 * [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)))))))) 1540201973.157 * * * * [misc]progress: [ 482 / 6878 ] simplifiying candidate # 1540201973.157 * [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)))))) 1540201973.157 * * [misc]simplify: iters left: 6 (19 enodes) 1540201973.159 * * [misc]simplify: iters left: 5 (28 enodes) 1540201973.163 * * [misc]simplify: iters left: 4 (42 enodes) 1540201973.175 * * [misc]simplify: iters left: 3 (60 enodes) 1540201973.191 * * [misc]simplify: iters left: 2 (79 enodes) 1540201973.202 * * [misc]simplify: iters left: 1 (107 enodes) 1540201973.216 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201973.216 * [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)))))))) 1540201973.217 * [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)))))) 1540201973.217 * * [misc]simplify: iters left: 6 (19 enodes) 1540201973.219 * * [misc]simplify: iters left: 5 (26 enodes) 1540201973.223 * * [misc]simplify: iters left: 4 (36 enodes) 1540201973.228 * * [misc]simplify: iters left: 3 (50 enodes) 1540201973.233 * * [misc]simplify: iters left: 2 (61 enodes) 1540201973.247 * * [misc]simplify: iters left: 1 (76 enodes) 1540201973.270 * [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)))))) 1540201973.270 * [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)))))))) 1540201973.270 * * * * [misc]progress: [ 483 / 6878 ] simplifiying candidate # 1540201973.270 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540201973.270 * * [misc]simplify: iters left: 6 (17 enodes) 1540201973.275 * * [misc]simplify: iters left: 5 (24 enodes) 1540201973.282 * * [misc]simplify: iters left: 4 (30 enodes) 1540201973.289 * * [misc]simplify: iters left: 3 (33 enodes) 1540201973.297 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201973.297 * [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))))))) 1540201973.298 * [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))))) 1540201973.298 * * [misc]simplify: iters left: 6 (18 enodes) 1540201973.301 * * [misc]simplify: iters left: 5 (25 enodes) 1540201973.305 * * [misc]simplify: iters left: 4 (35 enodes) 1540201973.310 * * [misc]simplify: iters left: 3 (49 enodes) 1540201973.316 * * [misc]simplify: iters left: 2 (60 enodes) 1540201973.323 * * [misc]simplify: iters left: 1 (75 enodes) 1540201973.334 * [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)))))) 1540201973.334 * [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)))))))) 1540201973.334 * * * * [misc]progress: [ 484 / 6878 ] simplifiying candidate # 1540201973.334 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1) 1540201973.334 * * [misc]simplify: iters left: 6 (16 enodes) 1540201973.338 * * [misc]simplify: iters left: 5 (23 enodes) 1540201973.343 * * [misc]simplify: iters left: 4 (29 enodes) 1540201973.351 * * [misc]simplify: iters left: 3 (32 enodes) 1540201973.356 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201973.356 * [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))))))) 1540201973.357 * [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))))) 1540201973.357 * * [misc]simplify: iters left: 6 (18 enodes) 1540201973.359 * * [misc]simplify: iters left: 5 (25 enodes) 1540201973.363 * * [misc]simplify: iters left: 4 (35 enodes) 1540201973.368 * * [misc]simplify: iters left: 3 (49 enodes) 1540201973.374 * * [misc]simplify: iters left: 2 (60 enodes) 1540201973.381 * * [misc]simplify: iters left: 1 (75 enodes) 1540201973.397 * [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)))))) 1540201973.397 * [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)))))))) 1540201973.398 * * * * [misc]progress: [ 485 / 6878 ] simplifiying candidate # 1540201973.398 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540201973.398 * * [misc]simplify: iters left: 6 (15 enodes) 1540201973.402 * * [misc]simplify: iters left: 5 (20 enodes) 1540201973.408 * * [misc]simplify: iters left: 4 (26 enodes) 1540201973.412 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201973.412 * [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))))))) 1540201973.412 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540201973.412 * * [misc]simplify: iters left: 6 (19 enodes) 1540201973.415 * * [misc]simplify: iters left: 5 (28 enodes) 1540201973.418 * * [misc]simplify: iters left: 4 (40 enodes) 1540201973.424 * * [misc]simplify: iters left: 3 (59 enodes) 1540201973.432 * * [misc]simplify: iters left: 2 (88 enodes) 1540201973.455 * * [misc]simplify: iters left: 1 (175 enodes) 1540201973.524 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201973.524 * [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)))))))) 1540201973.525 * * * * [misc]progress: [ 486 / 6878 ] simplifiying candidate # 1540201973.525 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540201973.525 * * [misc]simplify: iters left: 6 (17 enodes) 1540201973.531 * * [misc]simplify: iters left: 5 (25 enodes) 1540201973.535 * * [misc]simplify: iters left: 4 (37 enodes) 1540201973.541 * * [misc]simplify: iters left: 3 (51 enodes) 1540201973.548 * * [misc]simplify: iters left: 2 (62 enodes) 1540201973.556 * * [misc]simplify: iters left: 1 (77 enodes) 1540201973.571 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201973.571 * [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))))) 1540201973.572 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540201973.572 * * [misc]simplify: iters left: 6 (17 enodes) 1540201973.578 * * [misc]simplify: iters left: 5 (22 enodes) 1540201973.584 * * [misc]simplify: iters left: 4 (26 enodes) 1540201973.592 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540201973.592 * [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)))))))) 1540201973.592 * * * * [misc]progress: [ 487 / 6878 ] simplifiying candidate # 1540201973.592 * [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))))))) 1540201973.593 * * [misc]simplify: iters left: 6 (20 enodes) 1540201973.599 * * [misc]simplify: iters left: 5 (32 enodes) 1540201973.604 * * [misc]simplify: iters left: 4 (59 enodes) 1540201973.613 * * [misc]simplify: iters left: 3 (128 enodes) 1540201973.645 * * [misc]simplify: iters left: 2 (266 enodes) 1540201973.772 * * [misc]simplify: iters left: 1 (457 enodes) 1540201973.957 * [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))))))) 1540201973.957 * [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)))))))) 1540201973.957 * [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)))))) 1540201973.957 * * [misc]simplify: iters left: 6 (19 enodes) 1540201973.960 * * [misc]simplify: iters left: 5 (26 enodes) 1540201973.963 * * [misc]simplify: iters left: 4 (37 enodes) 1540201973.969 * * [misc]simplify: iters left: 3 (52 enodes) 1540201973.979 * * [misc]simplify: iters left: 2 (69 enodes) 1540201973.988 * * [misc]simplify: iters left: 1 (86 enodes) 1540201973.999 * [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)))))) 1540201973.999 * [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)))))))) 1540201973.999 * * * * [misc]progress: [ 488 / 6878 ] simplifiying candidate # 1540201974.000 * [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)))))) 1540201974.000 * * [misc]simplify: iters left: 6 (19 enodes) 1540201974.002 * * [misc]simplify: iters left: 5 (29 enodes) 1540201974.009 * * [misc]simplify: iters left: 4 (48 enodes) 1540201974.022 * * [misc]simplify: iters left: 3 (91 enodes) 1540201974.036 * * [misc]simplify: iters left: 2 (149 enodes) 1540201974.071 * * [misc]simplify: iters left: 1 (195 enodes) 1540201974.112 * [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)))))) 1540201974.112 * [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)))))))) 1540201974.112 * [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)))))) 1540201974.112 * * [misc]simplify: iters left: 6 (19 enodes) 1540201974.115 * * [misc]simplify: iters left: 5 (26 enodes) 1540201974.119 * * [misc]simplify: iters left: 4 (37 enodes) 1540201974.124 * * [misc]simplify: iters left: 3 (52 enodes) 1540201974.131 * * [misc]simplify: iters left: 2 (69 enodes) 1540201974.141 * * [misc]simplify: iters left: 1 (86 enodes) 1540201974.157 * [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)))))) 1540201974.157 * [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)))))))) 1540201974.157 * * * * [misc]progress: [ 489 / 6878 ] simplifiying candidate # 1540201974.158 * [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))) 1540201974.158 * * [misc]simplify: iters left: 6 (16 enodes) 1540201974.164 * * [misc]simplify: iters left: 5 (29 enodes) 1540201974.174 * * [misc]simplify: iters left: 4 (61 enodes) 1540201974.197 * * [misc]simplify: iters left: 3 (196 enodes) 1540201974.299 * [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)))))) 1540201974.299 * [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))))))) 1540201974.300 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201974.300 * * [misc]simplify: iters left: 6 (16 enodes) 1540201974.302 * * [misc]simplify: iters left: 5 (24 enodes) 1540201974.307 * * [misc]simplify: iters left: 4 (41 enodes) 1540201974.314 * * [misc]simplify: iters left: 3 (86 enodes) 1540201974.337 * * [misc]simplify: iters left: 2 (151 enodes) 1540201974.372 * * [misc]simplify: iters left: 1 (233 enodes) 1540201974.448 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540201974.448 * [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))))))) 1540201974.448 * * * * [misc]progress: [ 490 / 6878 ] simplifiying candidate # 1540201974.448 * [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))) 1540201974.448 * * [misc]simplify: iters left: 6 (16 enodes) 1540201974.451 * * [misc]simplify: iters left: 5 (29 enodes) 1540201974.456 * * [misc]simplify: iters left: 4 (61 enodes) 1540201974.477 * * [misc]simplify: iters left: 3 (196 enodes) 1540201974.574 * [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)))))) 1540201974.574 * [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))))))) 1540201974.575 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201974.575 * * [misc]simplify: iters left: 6 (16 enodes) 1540201974.580 * * [misc]simplify: iters left: 5 (24 enodes) 1540201974.587 * * [misc]simplify: iters left: 4 (41 enodes) 1540201974.601 * * [misc]simplify: iters left: 3 (86 enodes) 1540201974.633 * * [misc]simplify: iters left: 2 (151 enodes) 1540201974.675 * * [misc]simplify: iters left: 1 (233 enodes) 1540201974.756 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540201974.756 * [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))))))) 1540201974.756 * * * * [misc]progress: [ 491 / 6878 ] simplifiying candidate # 1540201974.757 * [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))))))) 1540201974.757 * * [misc]simplify: iters left: 6 (20 enodes) 1540201974.764 * * [misc]simplify: iters left: 5 (38 enodes) 1540201974.777 * * [misc]simplify: iters left: 4 (93 enodes) 1540201974.799 * * [misc]simplify: iters left: 3 (308 enodes) 1540201975.043 * [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))) 1540201975.043 * [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)))))))) 1540201975.043 * [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)))))) 1540201975.044 * * [misc]simplify: iters left: 6 (19 enodes) 1540201975.049 * * [misc]simplify: iters left: 5 (28 enodes) 1540201975.057 * * [misc]simplify: iters left: 4 (46 enodes) 1540201975.064 * * [misc]simplify: iters left: 3 (91 enodes) 1540201975.080 * * [misc]simplify: iters left: 2 (156 enodes) 1540201975.142 * * [misc]simplify: iters left: 1 (235 enodes) 1540201975.206 * [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)))))) 1540201975.207 * [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)))))))) 1540201975.207 * * * * [misc]progress: [ 492 / 6878 ] simplifiying candidate # 1540201975.207 * [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)))))) 1540201975.207 * * [misc]simplify: iters left: 6 (19 enodes) 1540201975.210 * * [misc]simplify: iters left: 5 (33 enodes) 1540201975.215 * * [misc]simplify: iters left: 4 (68 enodes) 1540201975.234 * * [misc]simplify: iters left: 3 (203 enodes) 1540201975.340 * [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)))))) 1540201975.340 * [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)))))))) 1540201975.341 * [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)))))) 1540201975.341 * * [misc]simplify: iters left: 6 (19 enodes) 1540201975.347 * * [misc]simplify: iters left: 5 (28 enodes) 1540201975.355 * * [misc]simplify: iters left: 4 (46 enodes) 1540201975.363 * * [misc]simplify: iters left: 3 (91 enodes) 1540201975.381 * * [misc]simplify: iters left: 2 (156 enodes) 1540201975.413 * * [misc]simplify: iters left: 1 (235 enodes) 1540201975.511 * [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)))))) 1540201975.511 * [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)))))))) 1540201975.512 * * * * [misc]progress: [ 493 / 6878 ] simplifiying candidate # 1540201975.512 * [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)) 1540201975.512 * * [misc]simplify: iters left: 6 (15 enodes) 1540201975.514 * * [misc]simplify: iters left: 5 (29 enodes) 1540201975.519 * * [misc]simplify: iters left: 4 (65 enodes) 1540201975.537 * * [misc]simplify: iters left: 3 (189 enodes) 1540201975.692 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) 1540201975.692 * [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))))))) 1540201975.693 * [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))))) 1540201975.693 * * [misc]simplify: iters left: 6 (18 enodes) 1540201975.697 * * [misc]simplify: iters left: 5 (27 enodes) 1540201975.701 * * [misc]simplify: iters left: 4 (45 enodes) 1540201975.708 * * [misc]simplify: iters left: 3 (90 enodes) 1540201975.723 * * [misc]simplify: iters left: 2 (155 enodes) 1540201975.766 * * [misc]simplify: iters left: 1 (238 enodes) 1540201975.824 * [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)))))) 1540201975.824 * [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)))))))) 1540201975.824 * * * * [misc]progress: [ 494 / 6878 ] simplifiying candidate # 1540201975.824 * [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))) 1540201975.825 * * [misc]simplify: iters left: 6 (19 enodes) 1540201975.828 * * [misc]simplify: iters left: 5 (31 enodes) 1540201975.833 * * [misc]simplify: iters left: 4 (55 enodes) 1540201975.850 * * [misc]simplify: iters left: 3 (136 enodes) 1540201975.890 * * [misc]simplify: iters left: 2 (352 enodes) 1540201976.123 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201976.124 * [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))))))) 1540201976.124 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201976.124 * * [misc]simplify: iters left: 6 (18 enodes) 1540201976.126 * * [misc]simplify: iters left: 5 (26 enodes) 1540201976.130 * * [misc]simplify: iters left: 4 (44 enodes) 1540201976.138 * * [misc]simplify: iters left: 3 (92 enodes) 1540201976.156 * * [misc]simplify: iters left: 2 (179 enodes) 1540201976.207 * * [misc]simplify: iters left: 1 (315 enodes) 1540201976.376 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540201976.376 * [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))))) 1540201976.376 * * * * [misc]progress: [ 495 / 6878 ] simplifiying candidate # 1540201976.377 * [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))) 1540201976.377 * * [misc]simplify: iters left: 6 (19 enodes) 1540201976.384 * * [misc]simplify: iters left: 5 (31 enodes) 1540201976.394 * * [misc]simplify: iters left: 4 (55 enodes) 1540201976.416 * * [misc]simplify: iters left: 3 (136 enodes) 1540201976.458 * * [misc]simplify: iters left: 2 (352 enodes) 1540201976.670 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201976.670 * [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))))))) 1540201976.670 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201976.671 * * [misc]simplify: iters left: 6 (18 enodes) 1540201976.676 * * [misc]simplify: iters left: 5 (26 enodes) 1540201976.684 * * [misc]simplify: iters left: 4 (44 enodes) 1540201976.697 * * [misc]simplify: iters left: 3 (92 enodes) 1540201976.733 * * [misc]simplify: iters left: 2 (179 enodes) 1540201976.810 * * [misc]simplify: iters left: 1 (315 enodes) 1540201976.951 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540201976.952 * [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))))) 1540201976.952 * * * * [misc]progress: [ 496 / 6878 ] simplifiying candidate # 1540201976.952 * [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))))))) 1540201976.952 * * [misc]simplify: iters left: 6 (23 enodes) 1540201976.960 * * [misc]simplify: iters left: 5 (38 enodes) 1540201976.971 * * [misc]simplify: iters left: 4 (71 enodes) 1540201976.988 * * [misc]simplify: iters left: 3 (188 enodes) 1540201977.064 * [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)))))) 1540201977.064 * [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)))))))) 1540201977.065 * [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)))))) 1540201977.065 * * [misc]simplify: iters left: 6 (21 enodes) 1540201977.071 * * [misc]simplify: iters left: 5 (30 enodes) 1540201977.076 * * [misc]simplify: iters left: 4 (49 enodes) 1540201977.083 * * [misc]simplify: iters left: 3 (97 enodes) 1540201977.103 * * [misc]simplify: iters left: 2 (184 enodes) 1540201977.178 * * [misc]simplify: iters left: 1 (320 enodes) 1540201977.322 * [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)))))) 1540201977.322 * [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)))))))) 1540201977.322 * * * * [misc]progress: [ 497 / 6878 ] simplifiying candidate # 1540201977.322 * [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)))))) 1540201977.323 * * [misc]simplify: iters left: 6 (22 enodes) 1540201977.330 * * [misc]simplify: iters left: 5 (35 enodes) 1540201977.338 * * [misc]simplify: iters left: 4 (62 enodes) 1540201977.349 * * [misc]simplify: iters left: 3 (143 enodes) 1540201977.385 * * [misc]simplify: iters left: 2 (359 enodes) 1540201977.565 * [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))))) 1540201977.565 * [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)))))))) 1540201977.565 * [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)))))) 1540201977.565 * * [misc]simplify: iters left: 6 (21 enodes) 1540201977.568 * * [misc]simplify: iters left: 5 (30 enodes) 1540201977.574 * * [misc]simplify: iters left: 4 (49 enodes) 1540201977.581 * * [misc]simplify: iters left: 3 (97 enodes) 1540201977.603 * * [misc]simplify: iters left: 2 (184 enodes) 1540201977.653 * * [misc]simplify: iters left: 1 (320 enodes) 1540201977.777 * [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)))))) 1540201977.777 * [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)))))))) 1540201977.777 * * * * [misc]progress: [ 498 / 6878 ] simplifiying candidate # 1540201977.777 * [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)) 1540201977.777 * * [misc]simplify: iters left: 6 (18 enodes) 1540201977.780 * * [misc]simplify: iters left: 5 (30 enodes) 1540201977.785 * * [misc]simplify: iters left: 4 (51 enodes) 1540201977.801 * * [misc]simplify: iters left: 3 (114 enodes) 1540201977.838 * * [misc]simplify: iters left: 2 (299 enodes) 1540201977.998 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201977.998 * [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))))))) 1540201977.999 * [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))))) 1540201977.999 * * [misc]simplify: iters left: 6 (20 enodes) 1540201978.002 * * [misc]simplify: iters left: 5 (29 enodes) 1540201978.007 * * [misc]simplify: iters left: 4 (48 enodes) 1540201978.015 * * [misc]simplify: iters left: 3 (96 enodes) 1540201978.032 * * [misc]simplify: iters left: 2 (183 enodes) 1540201978.103 * * [misc]simplify: iters left: 1 (325 enodes) 1540201978.261 * [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))))) 1540201978.261 * [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))))))) 1540201978.261 * * * * [misc]progress: [ 499 / 6878 ] simplifiying candidate # 1540201978.261 * [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))) 1540201978.261 * * [misc]simplify: iters left: 6 (17 enodes) 1540201978.264 * * [misc]simplify: iters left: 5 (28 enodes) 1540201978.271 * * [misc]simplify: iters left: 4 (52 enodes) 1540201978.280 * * [misc]simplify: iters left: 3 (133 enodes) 1540201978.328 * * [misc]simplify: iters left: 2 (351 enodes) 1540201978.516 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201978.516 * [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))))))) 1540201978.516 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201978.517 * * [misc]simplify: iters left: 6 (17 enodes) 1540201978.519 * * [misc]simplify: iters left: 5 (25 enodes) 1540201978.523 * * [misc]simplify: iters left: 4 (43 enodes) 1540201978.529 * * [misc]simplify: iters left: 3 (91 enodes) 1540201978.558 * * [misc]simplify: iters left: 2 (178 enodes) 1540201978.637 * * [misc]simplify: iters left: 1 (319 enodes) 1540201978.776 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201978.776 * [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))))))) 1540201978.776 * * * * [misc]progress: [ 500 / 6878 ] simplifiying candidate # 1540201978.776 * [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))) 1540201978.776 * * [misc]simplify: iters left: 6 (17 enodes) 1540201978.783 * * [misc]simplify: iters left: 5 (28 enodes) 1540201978.792 * * [misc]simplify: iters left: 4 (52 enodes) 1540201978.811 * * [misc]simplify: iters left: 3 (133 enodes) 1540201978.876 * * [misc]simplify: iters left: 2 (351 enodes) 1540201979.092 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201979.092 * [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))))))) 1540201979.092 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201979.093 * * [misc]simplify: iters left: 6 (17 enodes) 1540201979.097 * * [misc]simplify: iters left: 5 (25 enodes) 1540201979.105 * * [misc]simplify: iters left: 4 (43 enodes) 1540201979.118 * * [misc]simplify: iters left: 3 (91 enodes) 1540201979.156 * * [misc]simplify: iters left: 2 (178 enodes) 1540201979.233 * * [misc]simplify: iters left: 1 (319 enodes) 1540201979.438 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201979.438 * [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))))))) 1540201979.438 * * * * [misc]progress: [ 501 / 6878 ] simplifiying candidate # 1540201979.439 * [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))))))) 1540201979.439 * * [misc]simplify: iters left: 6 (21 enodes) 1540201979.445 * * [misc]simplify: iters left: 5 (35 enodes) 1540201979.455 * * [misc]simplify: iters left: 4 (68 enodes) 1540201979.477 * * [misc]simplify: iters left: 3 (185 enodes) 1540201979.580 * [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)))))) 1540201979.580 * [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)))))))) 1540201979.580 * [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)))))) 1540201979.581 * * [misc]simplify: iters left: 6 (20 enodes) 1540201979.584 * * [misc]simplify: iters left: 5 (29 enodes) 1540201979.588 * * [misc]simplify: iters left: 4 (48 enodes) 1540201979.600 * * [misc]simplify: iters left: 3 (96 enodes) 1540201979.617 * * [misc]simplify: iters left: 2 (183 enodes) 1540201979.657 * * [misc]simplify: iters left: 1 (325 enodes) 1540201979.777 * [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))))) 1540201979.777 * [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))))))) 1540201979.777 * * * * [misc]progress: [ 502 / 6878 ] simplifiying candidate # 1540201979.777 * [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)))))) 1540201979.777 * * [misc]simplify: iters left: 6 (20 enodes) 1540201979.780 * * [misc]simplify: iters left: 5 (32 enodes) 1540201979.786 * * [misc]simplify: iters left: 4 (59 enodes) 1540201979.796 * * [misc]simplify: iters left: 3 (140 enodes) 1540201979.830 * * [misc]simplify: iters left: 2 (355 enodes) 1540201979.970 * [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)))))) 1540201979.970 * [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)))))))) 1540201979.971 * [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)))))) 1540201979.971 * * [misc]simplify: iters left: 6 (20 enodes) 1540201979.974 * * [misc]simplify: iters left: 5 (29 enodes) 1540201979.978 * * [misc]simplify: iters left: 4 (48 enodes) 1540201979.985 * * [misc]simplify: iters left: 3 (96 enodes) 1540201980.009 * * [misc]simplify: iters left: 2 (183 enodes) 1540201980.050 * * [misc]simplify: iters left: 1 (325 enodes) 1540201980.154 * [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))))) 1540201980.154 * [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))))))) 1540201980.154 * * * * [misc]progress: [ 503 / 6878 ] simplifiying candidate # 1540201980.155 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201980.155 * * [misc]simplify: iters left: 6 (16 enodes) 1540201980.157 * * [misc]simplify: iters left: 5 (28 enodes) 1540201980.162 * * [misc]simplify: iters left: 4 (54 enodes) 1540201980.170 * * [misc]simplify: iters left: 3 (103 enodes) 1540201980.191 * * [misc]simplify: iters left: 2 (238 enodes) 1540201980.271 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201980.271 * [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))))))) 1540201980.272 * [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))))) 1540201980.272 * * [misc]simplify: iters left: 6 (19 enodes) 1540201980.274 * * [misc]simplify: iters left: 5 (28 enodes) 1540201980.278 * * [misc]simplify: iters left: 4 (47 enodes) 1540201980.286 * * [misc]simplify: iters left: 3 (95 enodes) 1540201980.303 * * [misc]simplify: iters left: 2 (182 enodes) 1540201980.344 * * [misc]simplify: iters left: 1 (322 enodes) 1540201980.447 * [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)))))) 1540201980.447 * [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))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540201980.447 * * * * [misc]progress: [ 504 / 6878 ] simplifiying candidate # 1540201980.447 * [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))) 1540201980.447 * * [misc]simplify: iters left: 6 (18 enodes) 1540201980.450 * * [misc]simplify: iters left: 5 (31 enodes) 1540201980.455 * * [misc]simplify: iters left: 4 (57 enodes) 1540201980.467 * * [misc]simplify: iters left: 3 (168 enodes) 1540201980.521 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540201980.521 * [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))))))) 1540201980.521 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201980.521 * * [misc]simplify: iters left: 6 (16 enodes) 1540201980.523 * * [misc]simplify: iters left: 5 (24 enodes) 1540201980.527 * * [misc]simplify: iters left: 4 (42 enodes) 1540201980.533 * * [misc]simplify: iters left: 3 (90 enodes) 1540201980.550 * * [misc]simplify: iters left: 2 (177 enodes) 1540201980.593 * * [misc]simplify: iters left: 1 (315 enodes) 1540201980.721 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540201980.721 * [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)))))) 1540201980.721 * * * * [misc]progress: [ 505 / 6878 ] simplifiying candidate # 1540201980.722 * [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))) 1540201980.722 * * [misc]simplify: iters left: 6 (18 enodes) 1540201980.725 * * [misc]simplify: iters left: 5 (31 enodes) 1540201980.730 * * [misc]simplify: iters left: 4 (57 enodes) 1540201980.742 * * [misc]simplify: iters left: 3 (168 enodes) 1540201980.816 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540201980.816 * [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))))))) 1540201980.816 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201980.816 * * [misc]simplify: iters left: 6 (16 enodes) 1540201980.822 * * [misc]simplify: iters left: 5 (24 enodes) 1540201980.829 * * [misc]simplify: iters left: 4 (42 enodes) 1540201980.843 * * [misc]simplify: iters left: 3 (90 enodes) 1540201980.879 * * [misc]simplify: iters left: 2 (177 enodes) 1540201980.930 * * [misc]simplify: iters left: 1 (315 enodes) 1540201981.063 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540201981.063 * [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)))))) 1540201981.063 * * * * [misc]progress: [ 506 / 6878 ] simplifiying candidate # 1540201981.063 * [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))))))) 1540201981.063 * * [misc]simplify: iters left: 6 (22 enodes) 1540201981.067 * * [misc]simplify: iters left: 5 (38 enodes) 1540201981.073 * * [misc]simplify: iters left: 4 (74 enodes) 1540201981.098 * * [misc]simplify: iters left: 3 (230 enodes) 1540201981.208 * [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)))))) 1540201981.208 * [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)))))))) 1540201981.209 * [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)))))) 1540201981.209 * * [misc]simplify: iters left: 6 (19 enodes) 1540201981.211 * * [misc]simplify: iters left: 5 (28 enodes) 1540201981.215 * * [misc]simplify: iters left: 4 (47 enodes) 1540201981.226 * * [misc]simplify: iters left: 3 (95 enodes) 1540201981.244 * * [misc]simplify: iters left: 2 (182 enodes) 1540201981.284 * * [misc]simplify: iters left: 1 (320 enodes) 1540201981.434 * [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)))))) 1540201981.434 * [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)))))))) 1540201981.434 * * * * [misc]progress: [ 507 / 6878 ] simplifiying candidate # 1540201981.434 * [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)))))) 1540201981.435 * * [misc]simplify: iters left: 6 (21 enodes) 1540201981.441 * * [misc]simplify: iters left: 5 (35 enodes) 1540201981.450 * * [misc]simplify: iters left: 4 (64 enodes) 1540201981.472 * * [misc]simplify: iters left: 3 (175 enodes) 1540201981.575 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201981.575 * [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)))))))) 1540201981.576 * [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)))))) 1540201981.576 * * [misc]simplify: iters left: 6 (19 enodes) 1540201981.581 * * [misc]simplify: iters left: 5 (28 enodes) 1540201981.588 * * [misc]simplify: iters left: 4 (47 enodes) 1540201981.601 * * [misc]simplify: iters left: 3 (95 enodes) 1540201981.634 * * [misc]simplify: iters left: 2 (182 enodes) 1540201981.673 * * [misc]simplify: iters left: 1 (320 enodes) 1540201981.775 * [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)))))) 1540201981.776 * [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)))))))) 1540201981.776 * * * * [misc]progress: [ 508 / 6878 ] simplifiying candidate # 1540201981.776 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540201981.776 * * [misc]simplify: iters left: 6 (16 enodes) 1540201981.779 * * [misc]simplify: iters left: 5 (28 enodes) 1540201981.783 * * [misc]simplify: iters left: 4 (42 enodes) 1540201981.789 * * [misc]simplify: iters left: 3 (83 enodes) 1540201981.805 * * [misc]simplify: iters left: 2 (176 enodes) 1540201981.876 * * [misc]simplify: iters left: 1 (327 enodes) 1540201982.046 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540201982.046 * [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))))))) 1540201982.046 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201982.046 * * [misc]simplify: iters left: 6 (18 enodes) 1540201982.050 * * [misc]simplify: iters left: 5 (27 enodes) 1540201982.054 * * [misc]simplify: iters left: 4 (46 enodes) 1540201982.061 * * [misc]simplify: iters left: 3 (94 enodes) 1540201982.078 * * [misc]simplify: iters left: 2 (181 enodes) 1540201982.117 * * [misc]simplify: iters left: 1 (322 enodes) 1540201982.218 * [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)))) 1540201982.218 * [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)))))) 1540201982.218 * * * * [misc]progress: [ 509 / 6878 ] simplifiying candidate # 1540201982.218 * [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))) 1540201982.218 * * [misc]simplify: iters left: 6 (17 enodes) 1540201982.222 * * [misc]simplify: iters left: 5 (28 enodes) 1540201982.227 * * [misc]simplify: iters left: 4 (52 enodes) 1540201982.236 * * [misc]simplify: iters left: 3 (133 enodes) 1540201982.284 * * [misc]simplify: iters left: 2 (351 enodes) 1540201982.509 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201982.509 * [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))))))) 1540201982.510 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201982.510 * * [misc]simplify: iters left: 6 (17 enodes) 1540201982.512 * * [misc]simplify: iters left: 5 (25 enodes) 1540201982.516 * * [misc]simplify: iters left: 4 (43 enodes) 1540201982.522 * * [misc]simplify: iters left: 3 (91 enodes) 1540201982.548 * * [misc]simplify: iters left: 2 (178 enodes) 1540201982.588 * * [misc]simplify: iters left: 1 (319 enodes) 1540201982.689 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201982.689 * [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))))))) 1540201982.689 * * * * [misc]progress: [ 510 / 6878 ] simplifiying candidate # 1540201982.689 * [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))) 1540201982.689 * * [misc]simplify: iters left: 6 (17 enodes) 1540201982.692 * * [misc]simplify: iters left: 5 (28 enodes) 1540201982.697 * * [misc]simplify: iters left: 4 (52 enodes) 1540201982.706 * * [misc]simplify: iters left: 3 (133 enodes) 1540201982.740 * * [misc]simplify: iters left: 2 (351 enodes) 1540201982.898 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201982.898 * [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))))))) 1540201982.898 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201982.899 * * [misc]simplify: iters left: 6 (17 enodes) 1540201982.904 * * [misc]simplify: iters left: 5 (25 enodes) 1540201982.911 * * [misc]simplify: iters left: 4 (43 enodes) 1540201982.922 * * [misc]simplify: iters left: 3 (91 enodes) 1540201982.941 * * [misc]simplify: iters left: 2 (178 enodes) 1540201982.995 * * [misc]simplify: iters left: 1 (319 enodes) 1540201983.151 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201983.151 * [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))))))) 1540201983.151 * * * * [misc]progress: [ 511 / 6878 ] simplifiying candidate # 1540201983.152 * [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))))))) 1540201983.152 * * [misc]simplify: iters left: 6 (21 enodes) 1540201983.155 * * [misc]simplify: iters left: 5 (35 enodes) 1540201983.160 * * [misc]simplify: iters left: 4 (68 enodes) 1540201983.181 * * [misc]simplify: iters left: 3 (185 enodes) 1540201983.273 * [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)))))) 1540201983.273 * [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)))))))) 1540201983.273 * [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)))))) 1540201983.273 * * [misc]simplify: iters left: 6 (20 enodes) 1540201983.276 * * [misc]simplify: iters left: 5 (29 enodes) 1540201983.281 * * [misc]simplify: iters left: 4 (48 enodes) 1540201983.288 * * [misc]simplify: iters left: 3 (96 enodes) 1540201983.313 * * [misc]simplify: iters left: 2 (183 enodes) 1540201983.388 * * [misc]simplify: iters left: 1 (325 enodes) 1540201983.518 * [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))))) 1540201983.518 * [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))))))) 1540201983.519 * * * * [misc]progress: [ 512 / 6878 ] simplifiying candidate # 1540201983.519 * [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)))))) 1540201983.519 * * [misc]simplify: iters left: 6 (20 enodes) 1540201983.524 * * [misc]simplify: iters left: 5 (32 enodes) 1540201983.528 * * [misc]simplify: iters left: 4 (59 enodes) 1540201983.538 * * [misc]simplify: iters left: 3 (140 enodes) 1540201983.597 * * [misc]simplify: iters left: 2 (355 enodes) 1540201983.807 * [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)))))) 1540201983.807 * [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)))))))) 1540201983.807 * [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)))))) 1540201983.807 * * [misc]simplify: iters left: 6 (20 enodes) 1540201983.813 * * [misc]simplify: iters left: 5 (29 enodes) 1540201983.822 * * [misc]simplify: iters left: 4 (48 enodes) 1540201983.830 * * [misc]simplify: iters left: 3 (96 enodes) 1540201983.848 * * [misc]simplify: iters left: 2 (183 enodes) 1540201983.888 * * [misc]simplify: iters left: 1 (325 enodes) 1540201984.028 * [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))))) 1540201984.029 * [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))))))) 1540201984.029 * * * * [misc]progress: [ 513 / 6878 ] simplifiying candidate # 1540201984.029 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201984.029 * * [misc]simplify: iters left: 6 (16 enodes) 1540201984.031 * * [misc]simplify: iters left: 5 (28 enodes) 1540201984.036 * * [misc]simplify: iters left: 4 (54 enodes) 1540201984.045 * * [misc]simplify: iters left: 3 (103 enodes) 1540201984.070 * * [misc]simplify: iters left: 2 (238 enodes) 1540201984.178 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201984.178 * [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))))))) 1540201984.179 * [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))))) 1540201984.179 * * [misc]simplify: iters left: 6 (19 enodes) 1540201984.182 * * [misc]simplify: iters left: 5 (28 enodes) 1540201984.186 * * [misc]simplify: iters left: 4 (47 enodes) 1540201984.193 * * [misc]simplify: iters left: 3 (95 enodes) 1540201984.214 * * [misc]simplify: iters left: 2 (182 enodes) 1540201984.268 * * [misc]simplify: iters left: 1 (322 enodes) 1540201984.478 * [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)))))) 1540201984.478 * [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)))))))) 1540201984.478 * * * * [misc]progress: [ 514 / 6878 ] simplifiying candidate # 1540201984.478 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540201984.479 * * [misc]simplify: iters left: 6 (17 enodes) 1540201984.485 * * [misc]simplify: iters left: 5 (30 enodes) 1540201984.493 * * [misc]simplify: iters left: 4 (52 enodes) 1540201984.504 * * [misc]simplify: iters left: 3 (134 enodes) 1540201984.541 * * [misc]simplify: iters left: 2 (407 enodes) 1540201984.821 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540201984.821 * [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))))))) 1540201984.822 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201984.822 * * [misc]simplify: iters left: 6 (16 enodes) 1540201984.825 * * [misc]simplify: iters left: 5 (24 enodes) 1540201984.828 * * [misc]simplify: iters left: 4 (42 enodes) 1540201984.835 * * [misc]simplify: iters left: 3 (90 enodes) 1540201984.852 * * [misc]simplify: iters left: 2 (177 enodes) 1540201984.892 * * [misc]simplify: iters left: 1 (315 enodes) 1540201984.994 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540201984.994 * [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)))))) 1540201984.995 * * * * [misc]progress: [ 515 / 6878 ] simplifiying candidate # 1540201984.995 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540201984.995 * * [misc]simplify: iters left: 6 (17 enodes) 1540201984.998 * * [misc]simplify: iters left: 5 (30 enodes) 1540201985.004 * * [misc]simplify: iters left: 4 (52 enodes) 1540201985.022 * * [misc]simplify: iters left: 3 (134 enodes) 1540201985.060 * * [misc]simplify: iters left: 2 (407 enodes) 1540201985.331 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540201985.331 * [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))))))) 1540201985.331 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201985.331 * * [misc]simplify: iters left: 6 (16 enodes) 1540201985.334 * * [misc]simplify: iters left: 5 (24 enodes) 1540201985.337 * * [misc]simplify: iters left: 4 (42 enodes) 1540201985.345 * * [misc]simplify: iters left: 3 (90 enodes) 1540201985.361 * * [misc]simplify: iters left: 2 (177 enodes) 1540201985.402 * * [misc]simplify: iters left: 1 (315 enodes) 1540201985.530 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540201985.530 * [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)))))) 1540201985.530 * * * * [misc]progress: [ 516 / 6878 ] simplifiying candidate # 1540201985.530 * [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))))))) 1540201985.530 * * [misc]simplify: iters left: 6 (21 enodes) 1540201985.533 * * [misc]simplify: iters left: 5 (37 enodes) 1540201985.539 * * [misc]simplify: iters left: 4 (68 enodes) 1540201985.555 * * [misc]simplify: iters left: 3 (192 enodes) 1540201985.654 * [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)))))) 1540201985.654 * [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)))))))) 1540201985.654 * [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)))))) 1540201985.654 * * [misc]simplify: iters left: 6 (19 enodes) 1540201985.657 * * [misc]simplify: iters left: 5 (28 enodes) 1540201985.661 * * [misc]simplify: iters left: 4 (47 enodes) 1540201985.668 * * [misc]simplify: iters left: 3 (95 enodes) 1540201985.686 * * [misc]simplify: iters left: 2 (182 enodes) 1540201985.736 * * [misc]simplify: iters left: 1 (320 enodes) 1540201985.913 * [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)))))) 1540201985.913 * [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)))))))) 1540201985.914 * * * * [misc]progress: [ 517 / 6878 ] simplifiying candidate # 1540201985.914 * [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)))))) 1540201985.914 * * [misc]simplify: iters left: 6 (20 enodes) 1540201985.920 * * [misc]simplify: iters left: 5 (34 enodes) 1540201985.929 * * [misc]simplify: iters left: 4 (59 enodes) 1540201985.952 * * [misc]simplify: iters left: 3 (141 enodes) 1540201986.001 * * [misc]simplify: iters left: 2 (417 enodes) 1540201986.341 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540201986.341 * [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)))))))) 1540201986.341 * [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)))))) 1540201986.341 * * [misc]simplify: iters left: 6 (19 enodes) 1540201986.344 * * [misc]simplify: iters left: 5 (28 enodes) 1540201986.348 * * [misc]simplify: iters left: 4 (47 enodes) 1540201986.356 * * [misc]simplify: iters left: 3 (95 enodes) 1540201986.384 * * [misc]simplify: iters left: 2 (182 enodes) 1540201986.439 * * [misc]simplify: iters left: 1 (320 enodes) 1540201986.611 * [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)))))) 1540201986.611 * [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)))))))) 1540201986.611 * * * * [misc]progress: [ 518 / 6878 ] simplifiying candidate # 1540201986.611 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540201986.611 * * [misc]simplify: iters left: 6 (15 enodes) 1540201986.614 * * [misc]simplify: iters left: 5 (25 enodes) 1540201986.617 * * [misc]simplify: iters left: 4 (39 enodes) 1540201986.624 * * [misc]simplify: iters left: 3 (75 enodes) 1540201986.639 * * [misc]simplify: iters left: 2 (152 enodes) 1540201986.681 * * [misc]simplify: iters left: 1 (207 enodes) 1540201986.726 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540201986.726 * [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))))))) 1540201986.726 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201986.727 * * [misc]simplify: iters left: 6 (18 enodes) 1540201986.732 * * [misc]simplify: iters left: 5 (27 enodes) 1540201986.739 * * [misc]simplify: iters left: 4 (46 enodes) 1540201986.752 * * [misc]simplify: iters left: 3 (94 enodes) 1540201986.784 * * [misc]simplify: iters left: 2 (181 enodes) 1540201986.823 * * [misc]simplify: iters left: 1 (322 enodes) 1540201986.944 * [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)))) 1540201986.944 * [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)))))) 1540201986.944 * * * * [misc]progress: [ 519 / 6878 ] simplifiying candidate # 1540201986.945 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1) 1540201986.945 * * [misc]simplify: iters left: 6 (14 enodes) 1540201986.947 * * [misc]simplify: iters left: 5 (24 enodes) 1540201986.950 * * [misc]simplify: iters left: 4 (41 enodes) 1540201986.958 * * [misc]simplify: iters left: 3 (87 enodes) 1540201986.975 * * [misc]simplify: iters left: 2 (174 enodes) 1540201987.042 * * [misc]simplify: iters left: 1 (237 enodes) 1540201987.102 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540201987.102 * [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))))))) 1540201987.102 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201987.102 * * [misc]simplify: iters left: 6 (18 enodes) 1540201987.107 * * [misc]simplify: iters left: 5 (27 enodes) 1540201987.113 * * [misc]simplify: iters left: 4 (46 enodes) 1540201987.124 * * [misc]simplify: iters left: 3 (94 enodes) 1540201987.154 * * [misc]simplify: iters left: 2 (181 enodes) 1540201987.224 * * [misc]simplify: iters left: 1 (322 enodes) 1540201987.393 * [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)))) 1540201987.393 * [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)))))) 1540201987.393 * * * * [misc]progress: [ 520 / 6878 ] simplifiying candidate # 1540201987.393 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540201987.393 * * [misc]simplify: iters left: 6 (13 enodes) 1540201987.395 * * [misc]simplify: iters left: 5 (21 enodes) 1540201987.398 * * [misc]simplify: iters left: 4 (37 enodes) 1540201987.404 * * [misc]simplify: iters left: 3 (80 enodes) 1540201987.419 * * [misc]simplify: iters left: 2 (138 enodes) 1540201987.446 * * [misc]simplify: iters left: 1 (186 enodes) 1540201987.496 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201987.496 * [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))))))) 1540201987.496 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540201987.496 * * [misc]simplify: iters left: 6 (19 enodes) 1540201987.501 * * [misc]simplify: iters left: 5 (30 enodes) 1540201987.506 * * [misc]simplify: iters left: 4 (47 enodes) 1540201987.513 * * [misc]simplify: iters left: 3 (99 enodes) 1540201987.532 * * [misc]simplify: iters left: 2 (206 enodes) 1540201987.603 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540201987.604 * [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)))))) 1540201987.604 * * * * [misc]progress: [ 521 / 6878 ] simplifiying candidate # 1540201987.604 * [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))) 1540201987.604 * * [misc]simplify: iters left: 6 (16 enodes) 1540201987.607 * * [misc]simplify: iters left: 5 (27 enodes) 1540201987.612 * * [misc]simplify: iters left: 4 (51 enodes) 1540201987.623 * * [misc]simplify: iters left: 3 (132 enodes) 1540201987.660 * * [misc]simplify: iters left: 2 (349 enodes) 1540201987.846 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540201987.846 * [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))))) 1540201987.846 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540201987.846 * * [misc]simplify: iters left: 6 (15 enodes) 1540201987.849 * * [misc]simplify: iters left: 5 (21 enodes) 1540201987.855 * * [misc]simplify: iters left: 4 (31 enodes) 1540201987.864 * * [misc]simplify: iters left: 3 (46 enodes) 1540201987.877 * * [misc]simplify: iters left: 2 (63 enodes) 1540201987.895 * * [misc]simplify: iters left: 1 (80 enodes) 1540201987.919 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540201987.919 * [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)))))) 1540201987.919 * * * * [misc]progress: [ 522 / 6878 ] simplifiying candidate # 1540201987.919 * [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))))))) 1540201987.920 * * [misc]simplify: iters left: 6 (20 enodes) 1540201987.928 * * [misc]simplify: iters left: 5 (32 enodes) 1540201987.938 * * [misc]simplify: iters left: 4 (59 enodes) 1540201987.949 * * [misc]simplify: iters left: 3 (128 enodes) 1540201987.982 * * [misc]simplify: iters left: 2 (266 enodes) 1540201988.101 * * [misc]simplify: iters left: 1 (457 enodes) 1540201988.299 * [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))))))) 1540201988.299 * [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)))))))) 1540201988.300 * [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)))))) 1540201988.300 * * [misc]simplify: iters left: 6 (19 enodes) 1540201988.302 * * [misc]simplify: iters left: 5 (26 enodes) 1540201988.306 * * [misc]simplify: iters left: 4 (37 enodes) 1540201988.311 * * [misc]simplify: iters left: 3 (52 enodes) 1540201988.317 * * [misc]simplify: iters left: 2 (69 enodes) 1540201988.328 * * [misc]simplify: iters left: 1 (86 enodes) 1540201988.342 * [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)))))) 1540201988.342 * [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)))))))) 1540201988.343 * * * * [misc]progress: [ 523 / 6878 ] simplifiying candidate # 1540201988.343 * [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)))))) 1540201988.343 * * [misc]simplify: iters left: 6 (19 enodes) 1540201988.348 * * [misc]simplify: iters left: 5 (29 enodes) 1540201988.355 * * [misc]simplify: iters left: 4 (48 enodes) 1540201988.368 * * [misc]simplify: iters left: 3 (91 enodes) 1540201988.393 * * [misc]simplify: iters left: 2 (149 enodes) 1540201988.435 * * [misc]simplify: iters left: 1 (195 enodes) 1540201988.478 * [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)))))) 1540201988.478 * [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)))))))) 1540201988.479 * [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)))))) 1540201988.479 * * [misc]simplify: iters left: 6 (19 enodes) 1540201988.481 * * [misc]simplify: iters left: 5 (26 enodes) 1540201988.486 * * [misc]simplify: iters left: 4 (37 enodes) 1540201988.495 * * [misc]simplify: iters left: 3 (52 enodes) 1540201988.502 * * [misc]simplify: iters left: 2 (69 enodes) 1540201988.512 * * [misc]simplify: iters left: 1 (86 enodes) 1540201988.523 * [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)))))) 1540201988.524 * [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)))))))) 1540201988.525 * * * * [misc]progress: [ 524 / 6878 ] simplifiying candidate # 1540201988.525 * [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))) 1540201988.525 * * [misc]simplify: iters left: 6 (16 enodes) 1540201988.528 * * [misc]simplify: iters left: 5 (29 enodes) 1540201988.533 * * [misc]simplify: iters left: 4 (61 enodes) 1540201988.546 * * [misc]simplify: iters left: 3 (196 enodes) 1540201988.635 * [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)))))) 1540201988.636 * [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))))))) 1540201988.636 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201988.636 * * [misc]simplify: iters left: 6 (16 enodes) 1540201988.638 * * [misc]simplify: iters left: 5 (24 enodes) 1540201988.641 * * [misc]simplify: iters left: 4 (41 enodes) 1540201988.648 * * [misc]simplify: iters left: 3 (86 enodes) 1540201988.665 * * [misc]simplify: iters left: 2 (151 enodes) 1540201988.701 * * [misc]simplify: iters left: 1 (233 enodes) 1540201988.755 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540201988.755 * [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))))))) 1540201988.755 * * * * [misc]progress: [ 525 / 6878 ] simplifiying candidate # 1540201988.755 * [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))) 1540201988.755 * * [misc]simplify: iters left: 6 (16 enodes) 1540201988.758 * * [misc]simplify: iters left: 5 (29 enodes) 1540201988.763 * * [misc]simplify: iters left: 4 (61 enodes) 1540201988.776 * * [misc]simplify: iters left: 3 (196 enodes) 1540201988.868 * [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)))))) 1540201988.868 * [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))))))) 1540201988.869 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201988.869 * * [misc]simplify: iters left: 6 (16 enodes) 1540201988.871 * * [misc]simplify: iters left: 5 (24 enodes) 1540201988.874 * * [misc]simplify: iters left: 4 (41 enodes) 1540201988.880 * * [misc]simplify: iters left: 3 (86 enodes) 1540201988.896 * * [misc]simplify: iters left: 2 (151 enodes) 1540201988.937 * * [misc]simplify: iters left: 1 (233 enodes) 1540201989.023 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540201989.023 * [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))))))) 1540201989.023 * * * * [misc]progress: [ 526 / 6878 ] simplifiying candidate # 1540201989.023 * [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))))))) 1540201989.024 * * [misc]simplify: iters left: 6 (20 enodes) 1540201989.029 * * [misc]simplify: iters left: 5 (38 enodes) 1540201989.041 * * [misc]simplify: iters left: 4 (93 enodes) 1540201989.063 * * [misc]simplify: iters left: 3 (308 enodes) 1540201989.271 * [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))) 1540201989.271 * [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)))))))) 1540201989.271 * [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)))))) 1540201989.271 * * [misc]simplify: iters left: 6 (19 enodes) 1540201989.274 * * [misc]simplify: iters left: 5 (28 enodes) 1540201989.278 * * [misc]simplify: iters left: 4 (46 enodes) 1540201989.285 * * [misc]simplify: iters left: 3 (91 enodes) 1540201989.314 * * [misc]simplify: iters left: 2 (156 enodes) 1540201989.359 * * [misc]simplify: iters left: 1 (235 enodes) 1540201989.419 * [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)))))) 1540201989.420 * [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)))))))) 1540201989.420 * * * * [misc]progress: [ 527 / 6878 ] simplifiying candidate # 1540201989.420 * [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)))))) 1540201989.420 * * [misc]simplify: iters left: 6 (19 enodes) 1540201989.423 * * [misc]simplify: iters left: 5 (33 enodes) 1540201989.428 * * [misc]simplify: iters left: 4 (68 enodes) 1540201989.442 * * [misc]simplify: iters left: 3 (203 enodes) 1540201989.542 * [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)))))) 1540201989.542 * [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)))))))) 1540201989.542 * [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)))))) 1540201989.543 * * [misc]simplify: iters left: 6 (19 enodes) 1540201989.545 * * [misc]simplify: iters left: 5 (28 enodes) 1540201989.549 * * [misc]simplify: iters left: 4 (46 enodes) 1540201989.557 * * [misc]simplify: iters left: 3 (91 enodes) 1540201989.588 * * [misc]simplify: iters left: 2 (156 enodes) 1540201989.636 * * [misc]simplify: iters left: 1 (235 enodes) 1540201989.731 * [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)))))) 1540201989.731 * [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)))))))) 1540201989.731 * * * * [misc]progress: [ 528 / 6878 ] simplifiying candidate # 1540201989.732 * [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)) 1540201989.732 * * [misc]simplify: iters left: 6 (15 enodes) 1540201989.736 * * [misc]simplify: iters left: 5 (29 enodes) 1540201989.746 * * [misc]simplify: iters left: 4 (65 enodes) 1540201989.772 * * [misc]simplify: iters left: 3 (189 enodes) 1540201989.905 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) 1540201989.906 * [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))))))) 1540201989.906 * [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))))) 1540201989.906 * * [misc]simplify: iters left: 6 (18 enodes) 1540201989.908 * * [misc]simplify: iters left: 5 (27 enodes) 1540201989.912 * * [misc]simplify: iters left: 4 (45 enodes) 1540201989.919 * * [misc]simplify: iters left: 3 (90 enodes) 1540201989.934 * * [misc]simplify: iters left: 2 (155 enodes) 1540201989.966 * * [misc]simplify: iters left: 1 (238 enodes) 1540201990.021 * [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)))))) 1540201990.021 * [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)))))))) 1540201990.022 * * * * [misc]progress: [ 529 / 6878 ] simplifiying candidate # 1540201990.022 * [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))) 1540201990.022 * * [misc]simplify: iters left: 6 (19 enodes) 1540201990.026 * * [misc]simplify: iters left: 5 (31 enodes) 1540201990.030 * * [misc]simplify: iters left: 4 (55 enodes) 1540201990.041 * * [misc]simplify: iters left: 3 (136 enodes) 1540201990.076 * * [misc]simplify: iters left: 2 (352 enodes) 1540201990.234 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201990.234 * [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))))))) 1540201990.234 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201990.235 * * [misc]simplify: iters left: 6 (18 enodes) 1540201990.240 * * [misc]simplify: iters left: 5 (26 enodes) 1540201990.243 * * [misc]simplify: iters left: 4 (44 enodes) 1540201990.250 * * [misc]simplify: iters left: 3 (92 enodes) 1540201990.269 * * [misc]simplify: iters left: 2 (179 enodes) 1540201990.308 * * [misc]simplify: iters left: 1 (315 enodes) 1540201990.436 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540201990.436 * [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))))) 1540201990.436 * * * * [misc]progress: [ 530 / 6878 ] simplifiying candidate # 1540201990.436 * [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))) 1540201990.436 * * [misc]simplify: iters left: 6 (19 enodes) 1540201990.440 * * [misc]simplify: iters left: 5 (31 enodes) 1540201990.445 * * [misc]simplify: iters left: 4 (55 enodes) 1540201990.455 * * [misc]simplify: iters left: 3 (136 enodes) 1540201990.504 * * [misc]simplify: iters left: 2 (352 enodes) 1540201990.688 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201990.689 * [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))))))) 1540201990.689 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201990.689 * * [misc]simplify: iters left: 6 (18 enodes) 1540201990.691 * * [misc]simplify: iters left: 5 (26 enodes) 1540201990.695 * * [misc]simplify: iters left: 4 (44 enodes) 1540201990.702 * * [misc]simplify: iters left: 3 (92 enodes) 1540201990.726 * * [misc]simplify: iters left: 2 (179 enodes) 1540201990.773 * * [misc]simplify: iters left: 1 (315 enodes) 1540201991.278 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540201991.278 * [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))))) 1540201991.278 * * * * [misc]progress: [ 531 / 6878 ] simplifiying candidate # 1540201991.279 * [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))))))) 1540201991.279 * * [misc]simplify: iters left: 6 (23 enodes) 1540201991.282 * * [misc]simplify: iters left: 5 (38 enodes) 1540201991.288 * * [misc]simplify: iters left: 4 (71 enodes) 1540201991.300 * * [misc]simplify: iters left: 3 (188 enodes) 1540201991.365 * [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)))))) 1540201991.365 * [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)))))))) 1540201991.365 * [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)))))) 1540201991.365 * * [misc]simplify: iters left: 6 (21 enodes) 1540201991.368 * * [misc]simplify: iters left: 5 (30 enodes) 1540201991.373 * * [misc]simplify: iters left: 4 (49 enodes) 1540201991.382 * * [misc]simplify: iters left: 3 (97 enodes) 1540201991.407 * * [misc]simplify: iters left: 2 (184 enodes) 1540201991.448 * * [misc]simplify: iters left: 1 (320 enodes) 1540201991.551 * [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)))))) 1540201991.551 * [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)))))))) 1540201991.551 * * * * [misc]progress: [ 532 / 6878 ] simplifiying candidate # 1540201991.551 * [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)))))) 1540201991.551 * * [misc]simplify: iters left: 6 (22 enodes) 1540201991.554 * * [misc]simplify: iters left: 5 (35 enodes) 1540201991.559 * * [misc]simplify: iters left: 4 (62 enodes) 1540201991.569 * * [misc]simplify: iters left: 3 (143 enodes) 1540201991.610 * * [misc]simplify: iters left: 2 (359 enodes) 1540201991.789 * [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))))) 1540201991.789 * [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)))))))) 1540201991.790 * [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)))))) 1540201991.790 * * [misc]simplify: iters left: 6 (21 enodes) 1540201991.793 * * [misc]simplify: iters left: 5 (30 enodes) 1540201991.797 * * [misc]simplify: iters left: 4 (49 enodes) 1540201991.804 * * [misc]simplify: iters left: 3 (97 enodes) 1540201991.823 * * [misc]simplify: iters left: 2 (184 enodes) 1540201991.870 * * [misc]simplify: iters left: 1 (320 enodes) 1540201992.029 * [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)))))) 1540201992.030 * [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)))))))) 1540201992.030 * * * * [misc]progress: [ 533 / 6878 ] simplifiying candidate # 1540201992.030 * [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)) 1540201992.030 * * [misc]simplify: iters left: 6 (18 enodes) 1540201992.036 * * [misc]simplify: iters left: 5 (30 enodes) 1540201992.040 * * [misc]simplify: iters left: 4 (51 enodes) 1540201992.049 * * [misc]simplify: iters left: 3 (114 enodes) 1540201992.100 * * [misc]simplify: iters left: 2 (299 enodes) 1540201992.332 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201992.332 * [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))))))) 1540201992.332 * [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))))) 1540201992.332 * * [misc]simplify: iters left: 6 (20 enodes) 1540201992.335 * * [misc]simplify: iters left: 5 (29 enodes) 1540201992.339 * * [misc]simplify: iters left: 4 (48 enodes) 1540201992.346 * * [misc]simplify: iters left: 3 (96 enodes) 1540201992.373 * * [misc]simplify: iters left: 2 (183 enodes) 1540201992.441 * * [misc]simplify: iters left: 1 (325 enodes) 1540201992.578 * [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))))) 1540201992.578 * [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))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540201992.578 * * * * [misc]progress: [ 534 / 6878 ] simplifiying candidate # 1540201992.578 * [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))) 1540201992.578 * * [misc]simplify: iters left: 6 (17 enodes) 1540201992.581 * * [misc]simplify: iters left: 5 (28 enodes) 1540201992.586 * * [misc]simplify: iters left: 4 (52 enodes) 1540201992.598 * * [misc]simplify: iters left: 3 (133 enodes) 1540201992.644 * * [misc]simplify: iters left: 2 (351 enodes) 1540201992.838 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201992.838 * [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))))))) 1540201992.838 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201992.838 * * [misc]simplify: iters left: 6 (17 enodes) 1540201992.841 * * [misc]simplify: iters left: 5 (25 enodes) 1540201992.845 * * [misc]simplify: iters left: 4 (43 enodes) 1540201992.858 * * [misc]simplify: iters left: 3 (91 enodes) 1540201992.881 * * [misc]simplify: iters left: 2 (178 enodes) 1540201992.921 * * [misc]simplify: iters left: 1 (319 enodes) 1540201993.021 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201993.021 * [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))))))) 1540201993.021 * * * * [misc]progress: [ 535 / 6878 ] simplifiying candidate # 1540201993.022 * [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))) 1540201993.022 * * [misc]simplify: iters left: 6 (17 enodes) 1540201993.025 * * [misc]simplify: iters left: 5 (28 enodes) 1540201993.029 * * [misc]simplify: iters left: 4 (52 enodes) 1540201993.039 * * [misc]simplify: iters left: 3 (133 enodes) 1540201993.073 * * [misc]simplify: iters left: 2 (351 enodes) 1540201993.288 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201993.288 * [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))))))) 1540201993.288 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201993.288 * * [misc]simplify: iters left: 6 (17 enodes) 1540201993.293 * * [misc]simplify: iters left: 5 (25 enodes) 1540201993.299 * * [misc]simplify: iters left: 4 (43 enodes) 1540201993.311 * * [misc]simplify: iters left: 3 (91 enodes) 1540201993.330 * * [misc]simplify: iters left: 2 (178 enodes) 1540201993.369 * * [misc]simplify: iters left: 1 (319 enodes) 1540201993.482 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201993.482 * [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))))))) 1540201993.482 * * * * [misc]progress: [ 536 / 6878 ] simplifiying candidate # 1540201993.482 * [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))))))) 1540201993.482 * * [misc]simplify: iters left: 6 (21 enodes) 1540201993.485 * * [misc]simplify: iters left: 5 (35 enodes) 1540201993.490 * * [misc]simplify: iters left: 4 (68 enodes) 1540201993.503 * * [misc]simplify: iters left: 3 (185 enodes) 1540201993.567 * [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)))))) 1540201993.568 * [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)))))))) 1540201993.569 * [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)))))) 1540201993.569 * * [misc]simplify: iters left: 6 (20 enodes) 1540201993.572 * * [misc]simplify: iters left: 5 (29 enodes) 1540201993.576 * * [misc]simplify: iters left: 4 (48 enodes) 1540201993.583 * * [misc]simplify: iters left: 3 (96 enodes) 1540201993.602 * * [misc]simplify: iters left: 2 (183 enodes) 1540201993.653 * * [misc]simplify: iters left: 1 (325 enodes) 1540201993.788 * [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))))) 1540201993.788 * [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))))))) 1540201993.788 * * * * [misc]progress: [ 537 / 6878 ] simplifiying candidate # 1540201993.788 * [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)))))) 1540201993.788 * * [misc]simplify: iters left: 6 (20 enodes) 1540201993.791 * * [misc]simplify: iters left: 5 (32 enodes) 1540201993.795 * * [misc]simplify: iters left: 4 (59 enodes) 1540201993.806 * * [misc]simplify: iters left: 3 (140 enodes) 1540201993.839 * * [misc]simplify: iters left: 2 (355 enodes) 1540201994.027 * [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)))))) 1540201994.027 * [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)))))))) 1540201994.028 * [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)))))) 1540201994.028 * * [misc]simplify: iters left: 6 (20 enodes) 1540201994.034 * * [misc]simplify: iters left: 5 (29 enodes) 1540201994.043 * * [misc]simplify: iters left: 4 (48 enodes) 1540201994.058 * * [misc]simplify: iters left: 3 (96 enodes) 1540201994.080 * * [misc]simplify: iters left: 2 (183 enodes) 1540201994.120 * * [misc]simplify: iters left: 1 (325 enodes) 1540201994.226 * [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))))) 1540201994.226 * [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))))))) 1540201994.226 * * * * [misc]progress: [ 538 / 6878 ] simplifiying candidate # 1540201994.226 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201994.227 * * [misc]simplify: iters left: 6 (16 enodes) 1540201994.229 * * [misc]simplify: iters left: 5 (28 enodes) 1540201994.235 * * [misc]simplify: iters left: 4 (54 enodes) 1540201994.251 * * [misc]simplify: iters left: 3 (103 enodes) 1540201994.287 * * [misc]simplify: iters left: 2 (238 enodes) 1540201994.419 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201994.419 * [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))))))) 1540201994.420 * [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))))) 1540201994.420 * * [misc]simplify: iters left: 6 (19 enodes) 1540201994.424 * * [misc]simplify: iters left: 5 (28 enodes) 1540201994.431 * * [misc]simplify: iters left: 4 (47 enodes) 1540201994.444 * * [misc]simplify: iters left: 3 (95 enodes) 1540201994.474 * * [misc]simplify: iters left: 2 (182 enodes) 1540201994.514 * * [misc]simplify: iters left: 1 (322 enodes) 1540201994.645 * [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)))))) 1540201994.645 * [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)))))))) 1540201994.645 * * * * [misc]progress: [ 539 / 6878 ] simplifiying candidate # 1540201994.645 * [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))) 1540201994.645 * * [misc]simplify: iters left: 6 (18 enodes) 1540201994.649 * * [misc]simplify: iters left: 5 (31 enodes) 1540201994.654 * * [misc]simplify: iters left: 4 (57 enodes) 1540201994.665 * * [misc]simplify: iters left: 3 (168 enodes) 1540201994.719 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540201994.720 * [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))))))) 1540201994.720 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201994.720 * * [misc]simplify: iters left: 6 (16 enodes) 1540201994.722 * * [misc]simplify: iters left: 5 (24 enodes) 1540201994.725 * * [misc]simplify: iters left: 4 (42 enodes) 1540201994.732 * * [misc]simplify: iters left: 3 (90 enodes) 1540201994.748 * * [misc]simplify: iters left: 2 (177 enodes) 1540201994.789 * * [misc]simplify: iters left: 1 (315 enodes) 1540201994.890 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540201994.890 * [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)))))) 1540201994.890 * * * * [misc]progress: [ 540 / 6878 ] simplifiying candidate # 1540201994.890 * [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))) 1540201994.890 * * [misc]simplify: iters left: 6 (18 enodes) 1540201994.894 * * [misc]simplify: iters left: 5 (31 enodes) 1540201994.899 * * [misc]simplify: iters left: 4 (57 enodes) 1540201994.911 * * [misc]simplify: iters left: 3 (168 enodes) 1540201994.966 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540201994.966 * [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))))))) 1540201994.966 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201994.966 * * [misc]simplify: iters left: 6 (16 enodes) 1540201994.969 * * [misc]simplify: iters left: 5 (24 enodes) 1540201994.972 * * [misc]simplify: iters left: 4 (42 enodes) 1540201994.979 * * [misc]simplify: iters left: 3 (90 enodes) 1540201994.995 * * [misc]simplify: iters left: 2 (177 enodes) 1540201995.036 * * [misc]simplify: iters left: 1 (315 enodes) 1540201995.160 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540201995.160 * [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)))))) 1540201995.160 * * * * [misc]progress: [ 541 / 6878 ] simplifiying candidate # 1540201995.161 * [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))))))) 1540201995.161 * * [misc]simplify: iters left: 6 (22 enodes) 1540201995.167 * * [misc]simplify: iters left: 5 (38 enodes) 1540201995.176 * * [misc]simplify: iters left: 4 (74 enodes) 1540201995.193 * * [misc]simplify: iters left: 3 (230 enodes) 1540201995.282 * [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)))))) 1540201995.282 * [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)))))))) 1540201995.282 * [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)))))) 1540201995.282 * * [misc]simplify: iters left: 6 (19 enodes) 1540201995.285 * * [misc]simplify: iters left: 5 (28 enodes) 1540201995.289 * * [misc]simplify: iters left: 4 (47 enodes) 1540201995.296 * * [misc]simplify: iters left: 3 (95 enodes) 1540201995.314 * * [misc]simplify: iters left: 2 (182 enodes) 1540201995.354 * * [misc]simplify: iters left: 1 (320 enodes) 1540201995.457 * [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)))))) 1540201995.457 * [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)))))))) 1540201995.458 * * * * [misc]progress: [ 542 / 6878 ] simplifiying candidate # 1540201995.458 * [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)))))) 1540201995.458 * * [misc]simplify: iters left: 6 (21 enodes) 1540201995.461 * * [misc]simplify: iters left: 5 (35 enodes) 1540201995.466 * * [misc]simplify: iters left: 4 (64 enodes) 1540201995.478 * * [misc]simplify: iters left: 3 (175 enodes) 1540201995.538 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201995.538 * [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)))))))) 1540201995.538 * [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)))))) 1540201995.538 * * [misc]simplify: iters left: 6 (19 enodes) 1540201995.541 * * [misc]simplify: iters left: 5 (28 enodes) 1540201995.545 * * [misc]simplify: iters left: 4 (47 enodes) 1540201995.552 * * [misc]simplify: iters left: 3 (95 enodes) 1540201995.569 * * [misc]simplify: iters left: 2 (182 enodes) 1540201995.610 * * [misc]simplify: iters left: 1 (320 enodes) 1540201995.784 * [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)))))) 1540201995.784 * [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)))))))) 1540201995.784 * * * * [misc]progress: [ 543 / 6878 ] simplifiying candidate # 1540201995.784 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540201995.785 * * [misc]simplify: iters left: 6 (16 enodes) 1540201995.790 * * [misc]simplify: iters left: 5 (28 enodes) 1540201995.797 * * [misc]simplify: iters left: 4 (42 enodes) 1540201995.808 * * [misc]simplify: iters left: 3 (83 enodes) 1540201995.835 * * [misc]simplify: iters left: 2 (176 enodes) 1540201995.930 * * [misc]simplify: iters left: 1 (327 enodes) 1540201996.134 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540201996.134 * [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))))))) 1540201996.134 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540201996.134 * * [misc]simplify: iters left: 6 (18 enodes) 1540201996.137 * * [misc]simplify: iters left: 5 (27 enodes) 1540201996.141 * * [misc]simplify: iters left: 4 (46 enodes) 1540201996.150 * * [misc]simplify: iters left: 3 (94 enodes) 1540201996.167 * * [misc]simplify: iters left: 2 (181 enodes) 1540201996.211 * * [misc]simplify: iters left: 1 (322 enodes) 1540201996.385 * [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)))) 1540201996.385 * [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)))))) 1540201996.385 * * * * [misc]progress: [ 544 / 6878 ] simplifiying candidate # 1540201996.385 * [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))) 1540201996.385 * * [misc]simplify: iters left: 6 (17 enodes) 1540201996.391 * * [misc]simplify: iters left: 5 (28 enodes) 1540201996.398 * * [misc]simplify: iters left: 4 (52 enodes) 1540201996.416 * * [misc]simplify: iters left: 3 (133 enodes) 1540201996.471 * * [misc]simplify: iters left: 2 (351 enodes) 1540201996.666 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201996.666 * [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))))))) 1540201996.666 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201996.666 * * [misc]simplify: iters left: 6 (17 enodes) 1540201996.669 * * [misc]simplify: iters left: 5 (25 enodes) 1540201996.672 * * [misc]simplify: iters left: 4 (43 enodes) 1540201996.679 * * [misc]simplify: iters left: 3 (91 enodes) 1540201996.696 * * [misc]simplify: iters left: 2 (178 enodes) 1540201996.736 * * [misc]simplify: iters left: 1 (319 enodes) 1540201996.857 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201996.857 * [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))))))) 1540201996.857 * * * * [misc]progress: [ 545 / 6878 ] simplifiying candidate # 1540201996.858 * [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))) 1540201996.858 * * [misc]simplify: iters left: 6 (17 enodes) 1540201996.861 * * [misc]simplify: iters left: 5 (28 enodes) 1540201996.865 * * [misc]simplify: iters left: 4 (52 enodes) 1540201996.875 * * [misc]simplify: iters left: 3 (133 enodes) 1540201996.908 * * [misc]simplify: iters left: 2 (351 enodes) 1540201997.044 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201997.044 * [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))))))) 1540201997.045 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540201997.045 * * [misc]simplify: iters left: 6 (17 enodes) 1540201997.047 * * [misc]simplify: iters left: 5 (25 enodes) 1540201997.050 * * [misc]simplify: iters left: 4 (43 enodes) 1540201997.057 * * [misc]simplify: iters left: 3 (91 enodes) 1540201997.075 * * [misc]simplify: iters left: 2 (178 enodes) 1540201997.120 * * [misc]simplify: iters left: 1 (319 enodes) 1540201997.221 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540201997.221 * [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))))))) 1540201997.221 * * * * [misc]progress: [ 546 / 6878 ] simplifiying candidate # 1540201997.221 * [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))))))) 1540201997.221 * * [misc]simplify: iters left: 6 (21 enodes) 1540201997.224 * * [misc]simplify: iters left: 5 (35 enodes) 1540201997.230 * * [misc]simplify: iters left: 4 (68 enodes) 1540201997.242 * * [misc]simplify: iters left: 3 (185 enodes) 1540201997.305 * [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)))))) 1540201997.305 * [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)))))))) 1540201997.305 * [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)))))) 1540201997.306 * * [misc]simplify: iters left: 6 (20 enodes) 1540201997.308 * * [misc]simplify: iters left: 5 (29 enodes) 1540201997.312 * * [misc]simplify: iters left: 4 (48 enodes) 1540201997.320 * * [misc]simplify: iters left: 3 (96 enodes) 1540201997.338 * * [misc]simplify: iters left: 2 (183 enodes) 1540201997.377 * * [misc]simplify: iters left: 1 (325 enodes) 1540201997.550 * [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))))) 1540201997.550 * [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))))))) 1540201997.550 * * * * [misc]progress: [ 547 / 6878 ] simplifiying candidate # 1540201997.551 * [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)))))) 1540201997.551 * * [misc]simplify: iters left: 6 (20 enodes) 1540201997.557 * * [misc]simplify: iters left: 5 (32 enodes) 1540201997.567 * * [misc]simplify: iters left: 4 (59 enodes) 1540201997.587 * * [misc]simplify: iters left: 3 (140 enodes) 1540201997.621 * * [misc]simplify: iters left: 2 (355 enodes) 1540201997.863 * [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)))))) 1540201997.863 * [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)))))))) 1540201997.864 * [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)))))) 1540201997.864 * * [misc]simplify: iters left: 6 (20 enodes) 1540201997.867 * * [misc]simplify: iters left: 5 (29 enodes) 1540201997.871 * * [misc]simplify: iters left: 4 (48 enodes) 1540201997.878 * * [misc]simplify: iters left: 3 (96 enodes) 1540201997.907 * * [misc]simplify: iters left: 2 (183 enodes) 1540201997.988 * * [misc]simplify: iters left: 1 (325 enodes) 1540201998.188 * [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))))) 1540201998.189 * [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))))))) 1540201998.189 * * * * [misc]progress: [ 548 / 6878 ] simplifiying candidate # 1540201998.189 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540201998.189 * * [misc]simplify: iters left: 6 (16 enodes) 1540201998.194 * * [misc]simplify: iters left: 5 (28 enodes) 1540201998.201 * * [misc]simplify: iters left: 4 (54 enodes) 1540201998.218 * * [misc]simplify: iters left: 3 (103 enodes) 1540201998.248 * * [misc]simplify: iters left: 2 (238 enodes) 1540201998.330 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540201998.330 * [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))))))) 1540201998.330 * [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))))) 1540201998.330 * * [misc]simplify: iters left: 6 (19 enodes) 1540201998.333 * * [misc]simplify: iters left: 5 (28 enodes) 1540201998.337 * * [misc]simplify: iters left: 4 (47 enodes) 1540201998.344 * * [misc]simplify: iters left: 3 (95 enodes) 1540201998.361 * * [misc]simplify: iters left: 2 (182 enodes) 1540201998.421 * * [misc]simplify: iters left: 1 (322 enodes) 1540201998.561 * [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)))))) 1540201998.561 * [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)))))))) 1540201998.561 * * * * [misc]progress: [ 549 / 6878 ] simplifiying candidate # 1540201998.561 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540201998.561 * * [misc]simplify: iters left: 6 (17 enodes) 1540201998.566 * * [misc]simplify: iters left: 5 (30 enodes) 1540201998.574 * * [misc]simplify: iters left: 4 (52 enodes) 1540201998.590 * * [misc]simplify: iters left: 3 (134 enodes) 1540201998.632 * * [misc]simplify: iters left: 2 (407 enodes) 1540201998.865 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540201998.865 * [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))))))) 1540201998.865 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201998.865 * * [misc]simplify: iters left: 6 (16 enodes) 1540201998.867 * * [misc]simplify: iters left: 5 (24 enodes) 1540201998.870 * * [misc]simplify: iters left: 4 (42 enodes) 1540201998.877 * * [misc]simplify: iters left: 3 (90 enodes) 1540201998.894 * * [misc]simplify: iters left: 2 (177 enodes) 1540201998.933 * * [misc]simplify: iters left: 1 (315 enodes) 1540201999.032 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540201999.032 * [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)))))) 1540201999.032 * * * * [misc]progress: [ 550 / 6878 ] simplifiying candidate # 1540201999.032 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540201999.032 * * [misc]simplify: iters left: 6 (17 enodes) 1540201999.036 * * [misc]simplify: iters left: 5 (30 enodes) 1540201999.040 * * [misc]simplify: iters left: 4 (52 enodes) 1540201999.050 * * [misc]simplify: iters left: 3 (134 enodes) 1540201999.082 * * [misc]simplify: iters left: 2 (407 enodes) 1540201999.400 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540201999.400 * [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))))))) 1540201999.401 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540201999.401 * * [misc]simplify: iters left: 6 (16 enodes) 1540201999.405 * * [misc]simplify: iters left: 5 (24 enodes) 1540201999.410 * * [misc]simplify: iters left: 4 (42 enodes) 1540201999.421 * * [misc]simplify: iters left: 3 (90 enodes) 1540201999.449 * * [misc]simplify: iters left: 2 (177 enodes) 1540201999.514 * * [misc]simplify: iters left: 1 (315 enodes) 1540201999.675 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540201999.675 * [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)))))) 1540201999.675 * * * * [misc]progress: [ 551 / 6878 ] simplifiying candidate # 1540201999.675 * [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))))))) 1540201999.675 * * [misc]simplify: iters left: 6 (21 enodes) 1540201999.680 * * [misc]simplify: iters left: 5 (37 enodes) 1540201999.691 * * [misc]simplify: iters left: 4 (68 enodes) 1540201999.712 * * [misc]simplify: iters left: 3 (192 enodes) 1540201999.817 * [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)))))) 1540201999.817 * [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)))))))) 1540201999.818 * [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)))))) 1540201999.818 * * [misc]simplify: iters left: 6 (19 enodes) 1540201999.822 * * [misc]simplify: iters left: 5 (28 enodes) 1540201999.829 * * [misc]simplify: iters left: 4 (47 enodes) 1540201999.841 * * [misc]simplify: iters left: 3 (95 enodes) 1540201999.869 * * [misc]simplify: iters left: 2 (182 enodes) 1540201999.936 * * [misc]simplify: iters left: 1 (320 enodes) 1540202000.112 * [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)))))) 1540202000.112 * [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)))))))) 1540202000.112 * * * * [misc]progress: [ 552 / 6878 ] simplifiying candidate # 1540202000.113 * [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)))))) 1540202000.113 * * [misc]simplify: iters left: 6 (20 enodes) 1540202000.118 * * [misc]simplify: iters left: 5 (34 enodes) 1540202000.127 * * [misc]simplify: iters left: 4 (59 enodes) 1540202000.145 * * [misc]simplify: iters left: 3 (141 enodes) 1540202000.206 * * [misc]simplify: iters left: 2 (417 enodes) 1540202000.505 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540202000.505 * [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)))))))) 1540202000.505 * [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)))))) 1540202000.505 * * [misc]simplify: iters left: 6 (19 enodes) 1540202000.508 * * [misc]simplify: iters left: 5 (28 enodes) 1540202000.512 * * [misc]simplify: iters left: 4 (47 enodes) 1540202000.519 * * [misc]simplify: iters left: 3 (95 enodes) 1540202000.536 * * [misc]simplify: iters left: 2 (182 enodes) 1540202000.575 * * [misc]simplify: iters left: 1 (320 enodes) 1540202000.676 * [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)))))) 1540202000.676 * [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)))))))) 1540202000.676 * * * * [misc]progress: [ 553 / 6878 ] simplifiying candidate # 1540202000.677 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540202000.677 * * [misc]simplify: iters left: 6 (15 enodes) 1540202000.679 * * [misc]simplify: iters left: 5 (25 enodes) 1540202000.682 * * [misc]simplify: iters left: 4 (39 enodes) 1540202000.688 * * [misc]simplify: iters left: 3 (75 enodes) 1540202000.701 * * [misc]simplify: iters left: 2 (152 enodes) 1540202000.732 * * [misc]simplify: iters left: 1 (207 enodes) 1540202000.756 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202000.756 * [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))))))) 1540202000.757 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202000.757 * * [misc]simplify: iters left: 6 (18 enodes) 1540202000.759 * * [misc]simplify: iters left: 5 (27 enodes) 1540202000.763 * * [misc]simplify: iters left: 4 (46 enodes) 1540202000.770 * * [misc]simplify: iters left: 3 (94 enodes) 1540202000.786 * * [misc]simplify: iters left: 2 (181 enodes) 1540202000.825 * * [misc]simplify: iters left: 1 (322 enodes) 1540202000.927 * [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)))) 1540202000.927 * [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)))))) 1540202000.927 * * * * [misc]progress: [ 554 / 6878 ] simplifiying candidate # 1540202000.927 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1) 1540202000.928 * * [misc]simplify: iters left: 6 (14 enodes) 1540202000.930 * * [misc]simplify: iters left: 5 (24 enodes) 1540202000.933 * * [misc]simplify: iters left: 4 (41 enodes) 1540202000.940 * * [misc]simplify: iters left: 3 (87 enodes) 1540202000.954 * * [misc]simplify: iters left: 2 (174 enodes) 1540202000.998 * * [misc]simplify: iters left: 1 (237 enodes) 1540202001.028 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202001.028 * [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))))))) 1540202001.029 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202001.029 * * [misc]simplify: iters left: 6 (18 enodes) 1540202001.031 * * [misc]simplify: iters left: 5 (27 enodes) 1540202001.035 * * [misc]simplify: iters left: 4 (46 enodes) 1540202001.041 * * [misc]simplify: iters left: 3 (94 enodes) 1540202001.058 * * [misc]simplify: iters left: 2 (181 enodes) 1540202001.097 * * [misc]simplify: iters left: 1 (322 enodes) 1540202001.199 * [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)))) 1540202001.199 * [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)))))) 1540202001.199 * * * * [misc]progress: [ 555 / 6878 ] simplifiying candidate # 1540202001.199 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540202001.199 * * [misc]simplify: iters left: 6 (13 enodes) 1540202001.201 * * [misc]simplify: iters left: 5 (21 enodes) 1540202001.204 * * [misc]simplify: iters left: 4 (37 enodes) 1540202001.209 * * [misc]simplify: iters left: 3 (80 enodes) 1540202001.222 * * [misc]simplify: iters left: 2 (138 enodes) 1540202001.247 * * [misc]simplify: iters left: 1 (186 enodes) 1540202001.280 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202001.280 * [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))))))) 1540202001.280 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202001.280 * * [misc]simplify: iters left: 6 (19 enodes) 1540202001.283 * * [misc]simplify: iters left: 5 (30 enodes) 1540202001.287 * * [misc]simplify: iters left: 4 (47 enodes) 1540202001.299 * * [misc]simplify: iters left: 3 (99 enodes) 1540202001.327 * * [misc]simplify: iters left: 2 (206 enodes) 1540202001.423 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202001.423 * [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)))))) 1540202001.423 * * * * [misc]progress: [ 556 / 6878 ] simplifiying candidate # 1540202001.423 * [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))) 1540202001.423 * * [misc]simplify: iters left: 6 (16 enodes) 1540202001.429 * * [misc]simplify: iters left: 5 (27 enodes) 1540202001.438 * * [misc]simplify: iters left: 4 (51 enodes) 1540202001.454 * * [misc]simplify: iters left: 3 (132 enodes) 1540202001.507 * * [misc]simplify: iters left: 2 (349 enodes) 1540202001.671 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540202001.671 * [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))))) 1540202001.671 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202001.671 * * [misc]simplify: iters left: 6 (15 enodes) 1540202001.673 * * [misc]simplify: iters left: 5 (21 enodes) 1540202001.676 * * [misc]simplify: iters left: 4 (31 enodes) 1540202001.680 * * [misc]simplify: iters left: 3 (46 enodes) 1540202001.686 * * [misc]simplify: iters left: 2 (63 enodes) 1540202001.695 * * [misc]simplify: iters left: 1 (80 enodes) 1540202001.708 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202001.708 * [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)))))) 1540202001.708 * * * * [misc]progress: [ 557 / 6878 ] simplifiying candidate # 1540202001.708 * [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))))))) 1540202001.709 * * [misc]simplify: iters left: 6 (22 enodes) 1540202001.712 * * [misc]simplify: iters left: 5 (37 enodes) 1540202001.717 * * [misc]simplify: iters left: 4 (79 enodes) 1540202001.734 * * [misc]simplify: iters left: 3 (204 enodes) 1540202001.800 * [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))))))) 1540202001.800 * [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)))))))) 1540202001.800 * [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)))))) 1540202001.800 * * [misc]simplify: iters left: 6 (20 enodes) 1540202001.803 * * [misc]simplify: iters left: 5 (27 enodes) 1540202001.806 * * [misc]simplify: iters left: 4 (38 enodes) 1540202001.811 * * [misc]simplify: iters left: 3 (53 enodes) 1540202001.818 * * [misc]simplify: iters left: 2 (70 enodes) 1540202001.828 * * [misc]simplify: iters left: 1 (87 enodes) 1540202001.839 * [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)))))) 1540202001.839 * [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)))))))) 1540202001.840 * * * * [misc]progress: [ 558 / 6878 ] simplifiying candidate # 1540202001.840 * [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)))))) 1540202001.840 * * [misc]simplify: iters left: 6 (21 enodes) 1540202001.843 * * [misc]simplify: iters left: 5 (34 enodes) 1540202001.848 * * [misc]simplify: iters left: 4 (68 enodes) 1540202001.860 * * [misc]simplify: iters left: 3 (147 enodes) 1540202001.892 * * [misc]simplify: iters left: 2 (299 enodes) 1540202002.029 * [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)))))) 1540202002.029 * [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)))))))) 1540202002.029 * [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)))))) 1540202002.029 * * [misc]simplify: iters left: 6 (20 enodes) 1540202002.036 * * [misc]simplify: iters left: 5 (27 enodes) 1540202002.043 * * [misc]simplify: iters left: 4 (38 enodes) 1540202002.054 * * [misc]simplify: iters left: 3 (53 enodes) 1540202002.068 * * [misc]simplify: iters left: 2 (70 enodes) 1540202002.086 * * [misc]simplify: iters left: 1 (87 enodes) 1540202002.111 * [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)))))) 1540202002.111 * [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)))))))) 1540202002.111 * * * * [misc]progress: [ 559 / 6878 ] simplifiying candidate # 1540202002.112 * [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))) 1540202002.112 * * [misc]simplify: iters left: 6 (20 enodes) 1540202002.118 * * [misc]simplify: iters left: 5 (38 enodes) 1540202002.130 * * [misc]simplify: iters left: 4 (88 enodes) 1540202002.156 * * [misc]simplify: iters left: 3 (297 enodes) 1540202002.351 * [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))))))) 1540202002.351 * [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))))))) 1540202002.352 * [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))))) 1540202002.352 * * [misc]simplify: iters left: 6 (19 enodes) 1540202002.354 * * [misc]simplify: iters left: 5 (28 enodes) 1540202002.358 * * [misc]simplify: iters left: 4 (46 enodes) 1540202002.365 * * [misc]simplify: iters left: 3 (91 enodes) 1540202002.390 * * [misc]simplify: iters left: 2 (156 enodes) 1540202002.441 * * [misc]simplify: iters left: 1 (239 enodes) 1540202002.538 * [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)))))) 1540202002.538 * [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)))))))) 1540202002.538 * * * * [misc]progress: [ 560 / 6878 ] simplifiying candidate # 1540202002.539 * [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))) 1540202002.539 * * [misc]simplify: iters left: 6 (20 enodes) 1540202002.546 * * [misc]simplify: iters left: 5 (38 enodes) 1540202002.557 * * [misc]simplify: iters left: 4 (88 enodes) 1540202002.577 * * [misc]simplify: iters left: 3 (297 enodes) 1540202002.758 * [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))))))) 1540202002.758 * [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))))))) 1540202002.758 * [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))))) 1540202002.759 * * [misc]simplify: iters left: 6 (19 enodes) 1540202002.761 * * [misc]simplify: iters left: 5 (28 enodes) 1540202002.765 * * [misc]simplify: iters left: 4 (46 enodes) 1540202002.772 * * [misc]simplify: iters left: 3 (91 enodes) 1540202002.788 * * [misc]simplify: iters left: 2 (156 enodes) 1540202002.821 * * [misc]simplify: iters left: 1 (239 enodes) 1540202002.877 * [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)))))) 1540202002.878 * [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)))))))) 1540202002.878 * * * * [misc]progress: [ 561 / 6878 ] simplifiying candidate # 1540202002.878 * [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))))))) 1540202002.878 * * [misc]simplify: iters left: 6 (22 enodes) 1540202002.881 * * [misc]simplify: iters left: 5 (43 enodes) 1540202002.889 * * [misc]simplify: iters left: 4 (113 enodes) 1540202002.918 * * [misc]simplify: iters left: 3 (435 enodes) 1540202003.213 * [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))))))) 1540202003.213 * [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)))))))) 1540202003.214 * [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)))))) 1540202003.214 * * [misc]simplify: iters left: 6 (20 enodes) 1540202003.216 * * [misc]simplify: iters left: 5 (29 enodes) 1540202003.220 * * [misc]simplify: iters left: 4 (47 enodes) 1540202003.233 * * [misc]simplify: iters left: 3 (92 enodes) 1540202003.261 * * [misc]simplify: iters left: 2 (157 enodes) 1540202003.314 * * [misc]simplify: iters left: 1 (236 enodes) 1540202003.378 * [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)))))) 1540202003.378 * [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)))))))) 1540202003.378 * * * * [misc]progress: [ 562 / 6878 ] simplifiying candidate # 1540202003.379 * [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)))))) 1540202003.379 * * [misc]simplify: iters left: 6 (21 enodes) 1540202003.382 * * [misc]simplify: iters left: 5 (38 enodes) 1540202003.388 * * [misc]simplify: iters left: 4 (88 enodes) 1540202003.412 * * [misc]simplify: iters left: 3 (299 enodes) 1540202003.682 * [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))))))) 1540202003.682 * [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)))))))) 1540202003.682 * [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)))))) 1540202003.682 * * [misc]simplify: iters left: 6 (20 enodes) 1540202003.685 * * [misc]simplify: iters left: 5 (29 enodes) 1540202003.694 * * [misc]simplify: iters left: 4 (47 enodes) 1540202003.707 * * [misc]simplify: iters left: 3 (92 enodes) 1540202003.733 * * [misc]simplify: iters left: 2 (157 enodes) 1540202003.765 * * [misc]simplify: iters left: 1 (236 enodes) 1540202003.834 * [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)))))) 1540202003.835 * [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)))))))) 1540202003.835 * * * * [misc]progress: [ 563 / 6878 ] simplifiying candidate # 1540202003.835 * [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)) 1540202003.835 * * [misc]simplify: iters left: 6 (20 enodes) 1540202003.838 * * [misc]simplify: iters left: 5 (39 enodes) 1540202003.847 * * [misc]simplify: iters left: 4 (95 enodes) 1540202003.869 * * [misc]simplify: iters left: 3 (285 enodes) 1540202004.185 * [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)))))) 1540202004.185 * [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))))))) 1540202004.185 * [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))))) 1540202004.185 * * [misc]simplify: iters left: 6 (19 enodes) 1540202004.188 * * [misc]simplify: iters left: 5 (28 enodes) 1540202004.192 * * [misc]simplify: iters left: 4 (46 enodes) 1540202004.200 * * [misc]simplify: iters left: 3 (91 enodes) 1540202004.219 * * [misc]simplify: iters left: 2 (156 enodes) 1540202004.267 * * [misc]simplify: iters left: 1 (239 enodes) 1540202004.339 * [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)))))) 1540202004.339 * [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)))))))) 1540202004.339 * * * * [misc]progress: [ 564 / 6878 ] simplifiying candidate # 1540202004.339 * [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))) 1540202004.340 * * [misc]simplify: iters left: 6 (23 enodes) 1540202004.348 * * [misc]simplify: iters left: 5 (40 enodes) 1540202004.362 * * [misc]simplify: iters left: 4 (82 enodes) 1540202004.378 * * [misc]simplify: iters left: 3 (221 enodes) 1540202004.481 * [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)))))) 1540202004.481 * [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))))))) 1540202004.482 * [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))))) 1540202004.482 * * [misc]simplify: iters left: 6 (21 enodes) 1540202004.488 * * [misc]simplify: iters left: 5 (30 enodes) 1540202004.497 * * [misc]simplify: iters left: 4 (49 enodes) 1540202004.513 * * [misc]simplify: iters left: 3 (97 enodes) 1540202004.539 * * [misc]simplify: iters left: 2 (184 enodes) 1540202004.590 * * [misc]simplify: iters left: 1 (323 enodes) 1540202004.787 * [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)))) 1540202004.787 * [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)))))) 1540202004.788 * * * * [misc]progress: [ 565 / 6878 ] simplifiying candidate # 1540202004.788 * [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))) 1540202004.788 * * [misc]simplify: iters left: 6 (23 enodes) 1540202004.794 * * [misc]simplify: iters left: 5 (40 enodes) 1540202004.801 * * [misc]simplify: iters left: 4 (82 enodes) 1540202004.817 * * [misc]simplify: iters left: 3 (221 enodes) 1540202004.943 * [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)))))) 1540202004.943 * [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))))))) 1540202004.943 * [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))))) 1540202004.943 * * [misc]simplify: iters left: 6 (21 enodes) 1540202004.946 * * [misc]simplify: iters left: 5 (30 enodes) 1540202004.950 * * [misc]simplify: iters left: 4 (49 enodes) 1540202004.958 * * [misc]simplify: iters left: 3 (97 enodes) 1540202004.978 * * [misc]simplify: iters left: 2 (184 enodes) 1540202005.037 * * [misc]simplify: iters left: 1 (323 enodes) 1540202005.202 * [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)))) 1540202005.202 * [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)))))) 1540202005.202 * * * * [misc]progress: [ 566 / 6878 ] simplifiying candidate # 1540202005.202 * [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))))))) 1540202005.203 * * [misc]simplify: iters left: 6 (25 enodes) 1540202005.210 * * [misc]simplify: iters left: 5 (43 enodes) 1540202005.223 * * [misc]simplify: iters left: 4 (91 enodes) 1540202005.258 * * [misc]simplify: iters left: 3 (281 enodes) 1540202005.439 * [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)))))) 1540202005.439 * [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)))))))) 1540202005.439 * [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)))))) 1540202005.439 * * [misc]simplify: iters left: 6 (22 enodes) 1540202005.443 * * [misc]simplify: iters left: 5 (31 enodes) 1540202005.447 * * [misc]simplify: iters left: 4 (50 enodes) 1540202005.462 * * [misc]simplify: iters left: 3 (98 enodes) 1540202005.499 * * [misc]simplify: iters left: 2 (185 enodes) 1540202005.579 * * [misc]simplify: iters left: 1 (321 enodes) 1540202005.771 * [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)))))) 1540202005.771 * [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)))))))) 1540202005.771 * * * * [misc]progress: [ 567 / 6878 ] simplifiying candidate # 1540202005.771 * [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)))))) 1540202005.772 * * [misc]simplify: iters left: 6 (24 enodes) 1540202005.775 * * [misc]simplify: iters left: 5 (40 enodes) 1540202005.782 * * [misc]simplify: iters left: 4 (82 enodes) 1540202005.798 * * [misc]simplify: iters left: 3 (221 enodes) 1540202005.887 * [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)))))) 1540202005.887 * [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)))))))) 1540202005.887 * [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)))))) 1540202005.887 * * [misc]simplify: iters left: 6 (22 enodes) 1540202005.890 * * [misc]simplify: iters left: 5 (31 enodes) 1540202005.897 * * [misc]simplify: iters left: 4 (50 enodes) 1540202005.906 * * [misc]simplify: iters left: 3 (98 enodes) 1540202005.931 * * [misc]simplify: iters left: 2 (185 enodes) 1540202005.981 * * [misc]simplify: iters left: 1 (321 enodes) 1540202006.131 * [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)))))) 1540202006.131 * [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)))))))) 1540202006.131 * * * * [misc]progress: [ 568 / 6878 ] simplifiying candidate # 1540202006.131 * [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)) 1540202006.132 * * [misc]simplify: iters left: 6 (23 enodes) 1540202006.139 * * [misc]simplify: iters left: 5 (40 enodes) 1540202006.152 * * [misc]simplify: iters left: 4 (79 enodes) 1540202006.185 * * [misc]simplify: iters left: 3 (187 enodes) 1540202006.315 * [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)))))) 1540202006.315 * [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))))))) 1540202006.316 * [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))))) 1540202006.316 * * [misc]simplify: iters left: 6 (21 enodes) 1540202006.322 * * [misc]simplify: iters left: 5 (30 enodes) 1540202006.327 * * [misc]simplify: iters left: 4 (49 enodes) 1540202006.338 * * [misc]simplify: iters left: 3 (97 enodes) 1540202006.369 * * [misc]simplify: iters left: 2 (184 enodes) 1540202006.409 * * [misc]simplify: iters left: 1 (323 enodes) 1540202006.543 * [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))))) 1540202006.543 * [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))))))) 1540202006.543 * * * * [misc]progress: [ 569 / 6878 ] simplifiying candidate # 1540202006.543 * [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))) 1540202006.543 * * [misc]simplify: iters left: 6 (21 enodes) 1540202006.547 * * [misc]simplify: iters left: 5 (37 enodes) 1540202006.553 * * [misc]simplify: iters left: 4 (79 enodes) 1540202006.571 * * [misc]simplify: iters left: 3 (214 enodes) 1540202006.679 * [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)))))) 1540202006.679 * [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))))))) 1540202006.680 * [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))))) 1540202006.680 * * [misc]simplify: iters left: 6 (20 enodes) 1540202006.683 * * [misc]simplify: iters left: 5 (29 enodes) 1540202006.687 * * [misc]simplify: iters left: 4 (48 enodes) 1540202006.694 * * [misc]simplify: iters left: 3 (96 enodes) 1540202006.712 * * [misc]simplify: iters left: 2 (183 enodes) 1540202006.770 * * [misc]simplify: iters left: 1 (324 enodes) 1540202006.932 * [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))))) 1540202006.932 * [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))))))) 1540202006.932 * * * * [misc]progress: [ 570 / 6878 ] simplifiying candidate # 1540202006.933 * [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))) 1540202006.933 * * [misc]simplify: iters left: 6 (21 enodes) 1540202006.940 * * [misc]simplify: iters left: 5 (37 enodes) 1540202006.953 * * [misc]simplify: iters left: 4 (79 enodes) 1540202006.984 * * [misc]simplify: iters left: 3 (214 enodes) 1540202007.110 * [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)))))) 1540202007.110 * [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))))))) 1540202007.110 * [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))))) 1540202007.110 * * [misc]simplify: iters left: 6 (20 enodes) 1540202007.115 * * [misc]simplify: iters left: 5 (29 enodes) 1540202007.123 * * [misc]simplify: iters left: 4 (48 enodes) 1540202007.133 * * [misc]simplify: iters left: 3 (96 enodes) 1540202007.152 * * [misc]simplify: iters left: 2 (183 enodes) 1540202007.200 * * [misc]simplify: iters left: 1 (324 enodes) 1540202007.349 * [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))))) 1540202007.349 * [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))))))) 1540202007.349 * * * * [misc]progress: [ 571 / 6878 ] simplifiying candidate # 1540202007.350 * [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))))))) 1540202007.350 * * [misc]simplify: iters left: 6 (23 enodes) 1540202007.356 * * [misc]simplify: iters left: 5 (40 enodes) 1540202007.368 * * [misc]simplify: iters left: 4 (88 enodes) 1540202007.394 * * [misc]simplify: iters left: 3 (270 enodes) 1540202007.524 * [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))))))) 1540202007.524 * [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)))))))) 1540202007.524 * [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)))))) 1540202007.525 * * [misc]simplify: iters left: 6 (21 enodes) 1540202007.527 * * [misc]simplify: iters left: 5 (30 enodes) 1540202007.532 * * [misc]simplify: iters left: 4 (49 enodes) 1540202007.539 * * [misc]simplify: iters left: 3 (97 enodes) 1540202007.556 * * [misc]simplify: iters left: 2 (184 enodes) 1540202007.619 * * [misc]simplify: iters left: 1 (323 enodes) 1540202007.760 * [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)))))) 1540202007.760 * [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)))))))) 1540202007.761 * * * * [misc]progress: [ 572 / 6878 ] simplifiying candidate # 1540202007.761 * [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)))))) 1540202007.761 * * [misc]simplify: iters left: 6 (22 enodes) 1540202007.765 * * [misc]simplify: iters left: 5 (37 enodes) 1540202007.774 * * [misc]simplify: iters left: 4 (79 enodes) 1540202007.803 * * [misc]simplify: iters left: 3 (214 enodes) 1540202007.939 * [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)))))) 1540202007.939 * [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)))))))) 1540202007.939 * [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)))))) 1540202007.939 * * [misc]simplify: iters left: 6 (21 enodes) 1540202007.942 * * [misc]simplify: iters left: 5 (30 enodes) 1540202007.946 * * [misc]simplify: iters left: 4 (49 enodes) 1540202007.961 * * [misc]simplify: iters left: 3 (97 enodes) 1540202007.990 * * [misc]simplify: iters left: 2 (184 enodes) 1540202008.052 * * [misc]simplify: iters left: 1 (323 enodes) 1540202008.254 * [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)))))) 1540202008.255 * [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)))))))) 1540202008.255 * * * * [misc]progress: [ 573 / 6878 ] simplifiying candidate # 1540202008.255 * [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)) 1540202008.255 * * [misc]simplify: iters left: 6 (21 enodes) 1540202008.263 * * [misc]simplify: iters left: 5 (38 enodes) 1540202008.276 * * [misc]simplify: iters left: 4 (82 enodes) 1540202008.296 * * [misc]simplify: iters left: 3 (172 enodes) 1540202008.382 * [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)))))) 1540202008.382 * [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))))))) 1540202008.382 * [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))))) 1540202008.383 * * [misc]simplify: iters left: 6 (20 enodes) 1540202008.391 * * [misc]simplify: iters left: 5 (29 enodes) 1540202008.400 * * [misc]simplify: iters left: 4 (48 enodes) 1540202008.415 * * [misc]simplify: iters left: 3 (96 enodes) 1540202008.451 * * [misc]simplify: iters left: 2 (183 enodes) 1540202008.496 * * [misc]simplify: iters left: 1 (324 enodes) 1540202008.664 * [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))))) 1540202008.664 * [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))))))) 1540202008.664 * * * * [misc]progress: [ 574 / 6878 ] simplifiying candidate # 1540202008.665 * [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))) 1540202008.665 * * [misc]simplify: iters left: 6 (22 enodes) 1540202008.673 * * [misc]simplify: iters left: 5 (40 enodes) 1540202008.686 * * [misc]simplify: iters left: 4 (84 enodes) 1540202008.705 * * [misc]simplify: iters left: 3 (256 enodes) 1540202008.883 * [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)))))) 1540202008.883 * [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))))))) 1540202008.884 * [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))))) 1540202008.884 * * [misc]simplify: iters left: 6 (19 enodes) 1540202008.886 * * [misc]simplify: iters left: 5 (28 enodes) 1540202008.893 * * [misc]simplify: iters left: 4 (47 enodes) 1540202008.907 * * [misc]simplify: iters left: 3 (95 enodes) 1540202008.925 * * [misc]simplify: iters left: 2 (182 enodes) 1540202008.986 * * [misc]simplify: iters left: 1 (319 enodes) 1540202009.108 * [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))))) 1540202009.108 * [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))))))) 1540202009.108 * * * * [misc]progress: [ 575 / 6878 ] simplifiying candidate # 1540202009.109 * [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))) 1540202009.109 * * [misc]simplify: iters left: 6 (22 enodes) 1540202009.113 * * [misc]simplify: iters left: 5 (40 enodes) 1540202009.120 * * [misc]simplify: iters left: 4 (84 enodes) 1540202009.152 * * [misc]simplify: iters left: 3 (256 enodes) 1540202009.321 * [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)))))) 1540202009.321 * [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))))))) 1540202009.321 * [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))))) 1540202009.321 * * [misc]simplify: iters left: 6 (19 enodes) 1540202009.327 * * [misc]simplify: iters left: 5 (28 enodes) 1540202009.336 * * [misc]simplify: iters left: 4 (47 enodes) 1540202009.352 * * [misc]simplify: iters left: 3 (95 enodes) 1540202009.390 * * [misc]simplify: iters left: 2 (182 enodes) 1540202009.471 * * [misc]simplify: iters left: 1 (319 enodes) 1540202009.618 * [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))))) 1540202009.618 * [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))))))) 1540202009.618 * * * * [misc]progress: [ 576 / 6878 ] simplifiying candidate # 1540202009.618 * [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))))))) 1540202009.619 * * [misc]simplify: iters left: 6 (24 enodes) 1540202009.627 * * [misc]simplify: iters left: 5 (43 enodes) 1540202009.634 * * [misc]simplify: iters left: 4 (94 enodes) 1540202009.659 * * [misc]simplify: iters left: 3 (330 enodes) 1540202009.917 * [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))))))) 1540202009.917 * [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)))))))) 1540202009.917 * [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)))))) 1540202009.917 * * [misc]simplify: iters left: 6 (20 enodes) 1540202009.920 * * [misc]simplify: iters left: 5 (29 enodes) 1540202009.924 * * [misc]simplify: iters left: 4 (48 enodes) 1540202009.931 * * [misc]simplify: iters left: 3 (96 enodes) 1540202009.949 * * [misc]simplify: iters left: 2 (183 enodes) 1540202010.009 * * [misc]simplify: iters left: 1 (326 enodes) 1540202010.187 * [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)))))) 1540202010.187 * [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)))))))) 1540202010.187 * * * * [misc]progress: [ 577 / 6878 ] simplifiying candidate # 1540202010.188 * [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)))))) 1540202010.188 * * [misc]simplify: iters left: 6 (23 enodes) 1540202010.196 * * [misc]simplify: iters left: 5 (40 enodes) 1540202010.202 * * [misc]simplify: iters left: 4 (84 enodes) 1540202010.221 * * [misc]simplify: iters left: 3 (254 enodes) 1540202010.355 * [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)))))) 1540202010.355 * [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)))))))) 1540202010.356 * [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)))))) 1540202010.356 * * [misc]simplify: iters left: 6 (20 enodes) 1540202010.362 * * [misc]simplify: iters left: 5 (29 enodes) 1540202010.371 * * [misc]simplify: iters left: 4 (48 enodes) 1540202010.386 * * [misc]simplify: iters left: 3 (96 enodes) 1540202010.427 * * [misc]simplify: iters left: 2 (183 enodes) 1540202010.480 * * [misc]simplify: iters left: 1 (326 enodes) 1540202010.588 * [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)))))) 1540202010.588 * [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)))))))) 1540202010.588 * * * * [misc]progress: [ 578 / 6878 ] simplifiying candidate # 1540202010.588 * [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)) 1540202010.588 * * [misc]simplify: iters left: 6 (21 enodes) 1540202010.592 * * [misc]simplify: iters left: 5 (38 enodes) 1540202010.598 * * [misc]simplify: iters left: 4 (67 enodes) 1540202010.616 * * [misc]simplify: iters left: 3 (161 enodes) 1540202010.679 * * [misc]simplify: iters left: 2 (480 enodes) 1540202011.606 * [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))) 1540202011.606 * [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))))))) 1540202011.606 * [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))))) 1540202011.606 * * [misc]simplify: iters left: 6 (19 enodes) 1540202011.609 * * [misc]simplify: iters left: 5 (28 enodes) 1540202011.613 * * [misc]simplify: iters left: 4 (47 enodes) 1540202011.621 * * [misc]simplify: iters left: 3 (95 enodes) 1540202011.658 * * [misc]simplify: iters left: 2 (182 enodes) 1540202011.719 * * [misc]simplify: iters left: 1 (319 enodes) 1540202011.876 * [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)))))) 1540202011.876 * [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)))))))) 1540202011.877 * * * * [misc]progress: [ 579 / 6878 ] simplifiying candidate # 1540202011.877 * [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))) 1540202011.877 * * [misc]simplify: iters left: 6 (21 enodes) 1540202011.885 * * [misc]simplify: iters left: 5 (37 enodes) 1540202011.895 * * [misc]simplify: iters left: 4 (79 enodes) 1540202011.911 * * [misc]simplify: iters left: 3 (214 enodes) 1540202012.035 * [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)))))) 1540202012.035 * [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))))))) 1540202012.035 * [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))))) 1540202012.036 * * [misc]simplify: iters left: 6 (20 enodes) 1540202012.042 * * [misc]simplify: iters left: 5 (29 enodes) 1540202012.050 * * [misc]simplify: iters left: 4 (48 enodes) 1540202012.067 * * [misc]simplify: iters left: 3 (96 enodes) 1540202012.099 * * [misc]simplify: iters left: 2 (183 enodes) 1540202012.141 * * [misc]simplify: iters left: 1 (324 enodes) 1540202012.291 * [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))))) 1540202012.291 * [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))))))) 1540202012.291 * * * * [misc]progress: [ 580 / 6878 ] simplifiying candidate # 1540202012.292 * [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))) 1540202012.292 * * [misc]simplify: iters left: 6 (21 enodes) 1540202012.296 * * [misc]simplify: iters left: 5 (37 enodes) 1540202012.304 * * [misc]simplify: iters left: 4 (79 enodes) 1540202012.326 * * [misc]simplify: iters left: 3 (214 enodes) 1540202012.434 * [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)))))) 1540202012.434 * [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))))))) 1540202012.434 * [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))))) 1540202012.434 * * [misc]simplify: iters left: 6 (20 enodes) 1540202012.437 * * [misc]simplify: iters left: 5 (29 enodes) 1540202012.441 * * [misc]simplify: iters left: 4 (48 enodes) 1540202012.449 * * [misc]simplify: iters left: 3 (96 enodes) 1540202012.476 * * [misc]simplify: iters left: 2 (183 enodes) 1540202012.560 * * [misc]simplify: iters left: 1 (324 enodes) 1540202012.712 * [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))))) 1540202012.712 * [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))))))) 1540202012.712 * * * * [misc]progress: [ 581 / 6878 ] simplifiying candidate # 1540202012.712 * [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))))))) 1540202012.712 * * [misc]simplify: iters left: 6 (23 enodes) 1540202012.716 * * [misc]simplify: iters left: 5 (40 enodes) 1540202012.723 * * [misc]simplify: iters left: 4 (88 enodes) 1540202012.741 * * [misc]simplify: iters left: 3 (270 enodes) 1540202012.927 * [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))))))) 1540202012.927 * [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)))))))) 1540202012.928 * [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)))))) 1540202012.928 * * [misc]simplify: iters left: 6 (21 enodes) 1540202012.934 * * [misc]simplify: iters left: 5 (30 enodes) 1540202012.943 * * [misc]simplify: iters left: 4 (49 enodes) 1540202012.959 * * [misc]simplify: iters left: 3 (97 enodes) 1540202012.996 * * [misc]simplify: iters left: 2 (184 enodes) 1540202013.077 * * [misc]simplify: iters left: 1 (323 enodes) 1540202013.206 * [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)))))) 1540202013.206 * [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)))))))) 1540202013.206 * * * * [misc]progress: [ 582 / 6878 ] simplifiying candidate # 1540202013.207 * [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))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202013.207 * * [misc]simplify: iters left: 6 (22 enodes) 1540202013.211 * * [misc]simplify: iters left: 5 (37 enodes) 1540202013.219 * * [misc]simplify: iters left: 4 (79 enodes) 1540202013.250 * * [misc]simplify: iters left: 3 (214 enodes) 1540202013.388 * [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)))))) 1540202013.388 * [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)))))))) 1540202013.388 * [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)))))) 1540202013.388 * * [misc]simplify: iters left: 6 (21 enodes) 1540202013.392 * * [misc]simplify: iters left: 5 (30 enodes) 1540202013.397 * * [misc]simplify: iters left: 4 (49 enodes) 1540202013.410 * * [misc]simplify: iters left: 3 (97 enodes) 1540202013.429 * * [misc]simplify: iters left: 2 (184 enodes) 1540202013.497 * * [misc]simplify: iters left: 1 (323 enodes) 1540202013.682 * [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)))))) 1540202013.682 * [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)))))))) 1540202013.683 * * * * [misc]progress: [ 583 / 6878 ] simplifiying candidate # 1540202013.683 * [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)) 1540202013.683 * * [misc]simplify: iters left: 6 (21 enodes) 1540202013.686 * * [misc]simplify: iters left: 5 (38 enodes) 1540202013.693 * * [misc]simplify: iters left: 4 (82 enodes) 1540202013.710 * * [misc]simplify: iters left: 3 (172 enodes) 1540202013.770 * [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)))))) 1540202013.770 * [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))))))) 1540202013.770 * [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))))) 1540202013.771 * * [misc]simplify: iters left: 6 (20 enodes) 1540202013.773 * * [misc]simplify: iters left: 5 (29 enodes) 1540202013.778 * * [misc]simplify: iters left: 4 (48 enodes) 1540202013.785 * * [misc]simplify: iters left: 3 (96 enodes) 1540202013.817 * * [misc]simplify: iters left: 2 (183 enodes) 1540202013.878 * * [misc]simplify: iters left: 1 (324 enodes) 1540202014.023 * [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))))) 1540202014.023 * [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))))))) 1540202014.024 * * * * [misc]progress: [ 584 / 6878 ] simplifiying candidate # 1540202014.024 * [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))) 1540202014.024 * * [misc]simplify: iters left: 6 (21 enodes) 1540202014.032 * * [misc]simplify: iters left: 5 (39 enodes) 1540202014.046 * * [misc]simplify: iters left: 4 (79 enodes) 1540202014.082 * * [misc]simplify: iters left: 3 (211 enodes) 1540202014.177 * [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)))))) 1540202014.177 * [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))))))) 1540202014.177 * [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))))) 1540202014.177 * * [misc]simplify: iters left: 6 (19 enodes) 1540202014.183 * * [misc]simplify: iters left: 5 (28 enodes) 1540202014.192 * * [misc]simplify: iters left: 4 (47 enodes) 1540202014.199 * * [misc]simplify: iters left: 3 (95 enodes) 1540202014.216 * * [misc]simplify: iters left: 2 (182 enodes) 1540202014.294 * * [misc]simplify: iters left: 1 (319 enodes) 1540202014.458 * [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))))) 1540202014.458 * [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))))))) 1540202014.458 * * * * [misc]progress: [ 585 / 6878 ] simplifiying candidate # 1540202014.459 * [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))) 1540202014.459 * * [misc]simplify: iters left: 6 (21 enodes) 1540202014.463 * * [misc]simplify: iters left: 5 (39 enodes) 1540202014.471 * * [misc]simplify: iters left: 4 (79 enodes) 1540202014.499 * * [misc]simplify: iters left: 3 (211 enodes) 1540202014.594 * [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)))))) 1540202014.594 * [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))))))) 1540202014.595 * [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))))) 1540202014.595 * * [misc]simplify: iters left: 6 (19 enodes) 1540202014.601 * * [misc]simplify: iters left: 5 (28 enodes) 1540202014.609 * * [misc]simplify: iters left: 4 (47 enodes) 1540202014.620 * * [misc]simplify: iters left: 3 (95 enodes) 1540202014.637 * * [misc]simplify: iters left: 2 (182 enodes) 1540202014.692 * * [misc]simplify: iters left: 1 (319 enodes) 1540202014.867 * [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))))) 1540202014.867 * [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))))))) 1540202014.867 * * * * [misc]progress: [ 586 / 6878 ] simplifiying candidate # 1540202014.867 * [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))))))) 1540202014.868 * * [misc]simplify: iters left: 6 (23 enodes) 1540202014.875 * * [misc]simplify: iters left: 5 (42 enodes) 1540202014.883 * * [misc]simplify: iters left: 4 (88 enodes) 1540202014.906 * * [misc]simplify: iters left: 3 (284 enodes) 1540202015.121 * [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))))))) 1540202015.121 * [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)))))))) 1540202015.121 * [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)))))) 1540202015.121 * * [misc]simplify: iters left: 6 (20 enodes) 1540202015.127 * * [misc]simplify: iters left: 5 (29 enodes) 1540202015.136 * * [misc]simplify: iters left: 4 (48 enodes) 1540202015.151 * * [misc]simplify: iters left: 3 (96 enodes) 1540202015.187 * * [misc]simplify: iters left: 2 (183 enodes) 1540202015.249 * * [misc]simplify: iters left: 1 (326 enodes) 1540202015.457 * [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)))))) 1540202015.458 * [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)))))))) 1540202015.458 * * * * [misc]progress: [ 587 / 6878 ] simplifiying candidate # 1540202015.458 * [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)))))) 1540202015.458 * * [misc]simplify: iters left: 6 (22 enodes) 1540202015.465 * * [misc]simplify: iters left: 5 (39 enodes) 1540202015.471 * * [misc]simplify: iters left: 4 (79 enodes) 1540202015.487 * * [misc]simplify: iters left: 3 (209 enodes) 1540202015.629 * [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))) 1540202015.630 * [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)))))))) 1540202015.630 * [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)))))) 1540202015.630 * * [misc]simplify: iters left: 6 (20 enodes) 1540202015.633 * * [misc]simplify: iters left: 5 (29 enodes) 1540202015.637 * * [misc]simplify: iters left: 4 (48 enodes) 1540202015.645 * * [misc]simplify: iters left: 3 (96 enodes) 1540202015.663 * * [misc]simplify: iters left: 2 (183 enodes) 1540202015.743 * * [misc]simplify: iters left: 1 (326 enodes) 1540202015.920 * [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)))))) 1540202015.920 * [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)))))))) 1540202015.921 * * * * [misc]progress: [ 588 / 6878 ] simplifiying candidate # 1540202015.921 * [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)) 1540202015.921 * * [misc]simplify: iters left: 6 (20 enodes) 1540202015.924 * * [misc]simplify: iters left: 5 (35 enodes) 1540202015.930 * * [misc]simplify: iters left: 4 (67 enodes) 1540202015.946 * * [misc]simplify: iters left: 3 (166 enodes) 1540202016.013 * * [misc]simplify: iters left: 2 (410 enodes) 1540202016.243 * [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)))))) 1540202016.243 * [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))))))) 1540202016.244 * [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))))) 1540202016.244 * * [misc]simplify: iters left: 6 (19 enodes) 1540202016.250 * * [misc]simplify: iters left: 5 (28 enodes) 1540202016.258 * * [misc]simplify: iters left: 4 (47 enodes) 1540202016.273 * * [misc]simplify: iters left: 3 (95 enodes) 1540202016.305 * * [misc]simplify: iters left: 2 (182 enodes) 1540202016.353 * * [misc]simplify: iters left: 1 (319 enodes) 1540202016.479 * [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)))))) 1540202016.479 * [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)))))))) 1540202016.479 * * * * [misc]progress: [ 589 / 6878 ] simplifiying candidate # 1540202016.480 * [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) 1540202016.480 * * [misc]simplify: iters left: 6 (19 enodes) 1540202016.482 * * [misc]simplify: iters left: 5 (34 enodes) 1540202016.488 * * [misc]simplify: iters left: 4 (71 enodes) 1540202016.520 * * [misc]simplify: iters left: 3 (185 enodes) 1540202016.604 * * [misc]simplify: iters left: 2 (436 enodes) 1540202016.809 * [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)))))) 1540202016.809 * [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))))))) 1540202016.810 * [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))))) 1540202016.810 * * [misc]simplify: iters left: 6 (19 enodes) 1540202016.813 * * [misc]simplify: iters left: 5 (28 enodes) 1540202016.817 * * [misc]simplify: iters left: 4 (47 enodes) 1540202016.826 * * [misc]simplify: iters left: 3 (95 enodes) 1540202016.848 * * [misc]simplify: iters left: 2 (182 enodes) 1540202016.919 * * [misc]simplify: iters left: 1 (319 enodes) 1540202017.033 * [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)))))) 1540202017.033 * [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)))))))) 1540202017.033 * * * * [misc]progress: [ 590 / 6878 ] simplifiying candidate # 1540202017.033 * [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 (sqrt k))) 1540202017.033 * * [misc]simplify: iters left: 6 (18 enodes) 1540202017.039 * * [misc]simplify: iters left: 5 (31 enodes) 1540202017.049 * * [misc]simplify: iters left: 4 (65 enodes) 1540202017.075 * * [misc]simplify: iters left: 3 (148 enodes) 1540202017.137 * * [misc]simplify: iters left: 2 (298 enodes) 1540202017.323 * [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)))))) 1540202017.323 * [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))))))) 1540202017.323 * [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))))) 1540202017.324 * * [misc]simplify: iters left: 6 (20 enodes) 1540202017.326 * * [misc]simplify: iters left: 5 (31 enodes) 1540202017.331 * * [misc]simplify: iters left: 4 (48 enodes) 1540202017.339 * * [misc]simplify: iters left: 3 (100 enodes) 1540202017.361 * * [misc]simplify: iters left: 2 (208 enodes) 1540202017.447 * [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)))) 1540202017.447 * [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)))))) 1540202017.447 * * * * [misc]progress: [ 591 / 6878 ] simplifiying candidate # 1540202017.447 * [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))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202017.447 * * [misc]simplify: iters left: 6 (20 enodes) 1540202017.451 * * [misc]simplify: iters left: 5 (36 enodes) 1540202017.457 * * [misc]simplify: iters left: 4 (78 enodes) 1540202017.478 * * [misc]simplify: iters left: 3 (213 enodes) 1540202017.614 * [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))))) 1540202017.614 * [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))))) 1540202017.614 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202017.614 * * [misc]simplify: iters left: 6 (18 enodes) 1540202017.620 * * [misc]simplify: iters left: 5 (25 enodes) 1540202017.627 * * [misc]simplify: iters left: 4 (36 enodes) 1540202017.637 * * [misc]simplify: iters left: 3 (51 enodes) 1540202017.651 * * [misc]simplify: iters left: 2 (68 enodes) 1540202017.673 * * [misc]simplify: iters left: 1 (85 enodes) 1540202017.698 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540202017.698 * [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)))))) 1540202017.698 * * * * [misc]progress: [ 592 / 6878 ] simplifiying candidate # 1540202017.698 * [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))))))) 1540202017.698 * * [misc]simplify: iters left: 6 (21 enodes) 1540202017.705 * * [misc]simplify: iters left: 5 (32 enodes) 1540202017.715 * * [misc]simplify: iters left: 4 (59 enodes) 1540202017.734 * * [misc]simplify: iters left: 3 (128 enodes) 1540202017.765 * * [misc]simplify: iters left: 2 (265 enodes) 1540202017.868 * * [misc]simplify: iters left: 1 (453 enodes) 1540202018.131 * [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))))))) 1540202018.131 * [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)))))))) 1540202018.131 * [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)))))) 1540202018.132 * * [misc]simplify: iters left: 6 (20 enodes) 1540202018.138 * * [misc]simplify: iters left: 5 (27 enodes) 1540202018.146 * * [misc]simplify: iters left: 4 (38 enodes) 1540202018.159 * * [misc]simplify: iters left: 3 (53 enodes) 1540202018.174 * * [misc]simplify: iters left: 2 (70 enodes) 1540202018.193 * * [misc]simplify: iters left: 1 (87 enodes) 1540202018.218 * [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)))))) 1540202018.218 * [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)))))))) 1540202018.218 * * * * [misc]progress: [ 593 / 6878 ] simplifiying candidate # 1540202018.219 * [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)))))) 1540202018.219 * * [misc]simplify: iters left: 6 (20 enodes) 1540202018.224 * * [misc]simplify: iters left: 5 (29 enodes) 1540202018.228 * * [misc]simplify: iters left: 4 (48 enodes) 1540202018.236 * * [misc]simplify: iters left: 3 (91 enodes) 1540202018.251 * * [misc]simplify: iters left: 2 (149 enodes) 1540202018.283 * * [misc]simplify: iters left: 1 (195 enodes) 1540202018.342 * [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)))))) 1540202018.342 * [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)))))))) 1540202018.343 * [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)))))) 1540202018.343 * * [misc]simplify: iters left: 6 (20 enodes) 1540202018.349 * * [misc]simplify: iters left: 5 (27 enodes) 1540202018.358 * * [misc]simplify: iters left: 4 (38 enodes) 1540202018.370 * * [misc]simplify: iters left: 3 (53 enodes) 1540202018.385 * * [misc]simplify: iters left: 2 (70 enodes) 1540202018.404 * * [misc]simplify: iters left: 1 (87 enodes) 1540202018.429 * [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)))))) 1540202018.429 * [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)))))))) 1540202018.429 * * * * [misc]progress: [ 594 / 6878 ] simplifiying candidate # 1540202018.429 * [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))) 1540202018.429 * * [misc]simplify: iters left: 6 (19 enodes) 1540202018.437 * * [misc]simplify: iters left: 5 (33 enodes) 1540202018.448 * * [misc]simplify: iters left: 4 (68 enodes) 1540202018.476 * * [misc]simplify: iters left: 3 (203 enodes) 1540202018.589 * [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)))))) 1540202018.589 * [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))))))) 1540202018.589 * [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))))) 1540202018.590 * * [misc]simplify: iters left: 6 (19 enodes) 1540202018.592 * * [misc]simplify: iters left: 5 (28 enodes) 1540202018.597 * * [misc]simplify: iters left: 4 (46 enodes) 1540202018.604 * * [misc]simplify: iters left: 3 (91 enodes) 1540202018.625 * * [misc]simplify: iters left: 2 (156 enodes) 1540202018.695 * * [misc]simplify: iters left: 1 (239 enodes) 1540202018.810 * [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)))))) 1540202018.811 * [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)))))))) 1540202018.811 * * * * [misc]progress: [ 595 / 6878 ] simplifiying candidate # 1540202018.811 * [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))) 1540202018.811 * * [misc]simplify: iters left: 6 (19 enodes) 1540202018.819 * * [misc]simplify: iters left: 5 (33 enodes) 1540202018.830 * * [misc]simplify: iters left: 4 (68 enodes) 1540202018.858 * * [misc]simplify: iters left: 3 (203 enodes) 1540202018.965 * [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)))))) 1540202018.965 * [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))))))) 1540202018.965 * [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))))) 1540202018.965 * * [misc]simplify: iters left: 6 (19 enodes) 1540202018.968 * * [misc]simplify: iters left: 5 (28 enodes) 1540202018.972 * * [misc]simplify: iters left: 4 (46 enodes) 1540202018.979 * * [misc]simplify: iters left: 3 (91 enodes) 1540202019.000 * * [misc]simplify: iters left: 2 (156 enodes) 1540202019.036 * * [misc]simplify: iters left: 1 (239 enodes) 1540202019.115 * [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)))))) 1540202019.115 * [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)))))))) 1540202019.115 * * * * [misc]progress: [ 596 / 6878 ] simplifiying candidate # 1540202019.115 * [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))))))) 1540202019.115 * * [misc]simplify: iters left: 6 (21 enodes) 1540202019.118 * * [misc]simplify: iters left: 5 (38 enodes) 1540202019.125 * * [misc]simplify: iters left: 4 (93 enodes) 1540202019.167 * * [misc]simplify: iters left: 3 (308 enodes) 1540202019.414 * [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))))))) 1540202019.414 * [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)))))))) 1540202019.414 * [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)))))) 1540202019.414 * * [misc]simplify: iters left: 6 (20 enodes) 1540202019.417 * * [misc]simplify: iters left: 5 (29 enodes) 1540202019.421 * * [misc]simplify: iters left: 4 (47 enodes) 1540202019.429 * * [misc]simplify: iters left: 3 (92 enodes) 1540202019.447 * * [misc]simplify: iters left: 2 (157 enodes) 1540202019.488 * * [misc]simplify: iters left: 1 (236 enodes) 1540202019.566 * [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)))))) 1540202019.566 * [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)))))))) 1540202019.566 * * * * [misc]progress: [ 597 / 6878 ] simplifiying candidate # 1540202019.566 * [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)))))) 1540202019.566 * * [misc]simplify: iters left: 6 (20 enodes) 1540202019.569 * * [misc]simplify: iters left: 5 (33 enodes) 1540202019.574 * * [misc]simplify: iters left: 4 (68 enodes) 1540202019.592 * * [misc]simplify: iters left: 3 (203 enodes) 1540202019.703 * [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)))))) 1540202019.703 * [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)))))))) 1540202019.703 * [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)))))) 1540202019.704 * * [misc]simplify: iters left: 6 (20 enodes) 1540202019.709 * * [misc]simplify: iters left: 5 (29 enodes) 1540202019.718 * * [misc]simplify: iters left: 4 (47 enodes) 1540202019.732 * * [misc]simplify: iters left: 3 (92 enodes) 1540202019.762 * * [misc]simplify: iters left: 2 (157 enodes) 1540202019.796 * * [misc]simplify: iters left: 1 (236 enodes) 1540202019.891 * [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)))))) 1540202019.891 * [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)))))))) 1540202019.891 * * * * [misc]progress: [ 598 / 6878 ] simplifiying candidate # 1540202019.892 * [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)) 1540202019.892 * * [misc]simplify: iters left: 6 (19 enodes) 1540202019.898 * * [misc]simplify: iters left: 5 (34 enodes) 1540202019.912 * * [misc]simplify: iters left: 4 (73 enodes) 1540202019.940 * * [misc]simplify: iters left: 3 (194 enodes) 1540202020.084 * [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)))))) 1540202020.084 * [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))))))) 1540202020.084 * [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))))) 1540202020.084 * * [misc]simplify: iters left: 6 (19 enodes) 1540202020.087 * * [misc]simplify: iters left: 5 (28 enodes) 1540202020.095 * * [misc]simplify: iters left: 4 (46 enodes) 1540202020.113 * * [misc]simplify: iters left: 3 (91 enodes) 1540202020.132 * * [misc]simplify: iters left: 2 (156 enodes) 1540202020.184 * * [misc]simplify: iters left: 1 (239 enodes) 1540202020.271 * [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)))))) 1540202020.271 * [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)))))))) 1540202020.271 * * * * [misc]progress: [ 599 / 6878 ] simplifiying candidate # 1540202020.272 * [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))) 1540202020.272 * * [misc]simplify: iters left: 6 (22 enodes) 1540202020.281 * * [misc]simplify: iters left: 5 (35 enodes) 1540202020.293 * * [misc]simplify: iters left: 4 (62 enodes) 1540202020.315 * * [misc]simplify: iters left: 3 (143 enodes) 1540202020.387 * * [misc]simplify: iters left: 2 (361 enodes) 1540202020.674 * [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)))) 1540202020.674 * [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))))))) 1540202020.674 * [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))))) 1540202020.674 * * [misc]simplify: iters left: 6 (21 enodes) 1540202020.677 * * [misc]simplify: iters left: 5 (30 enodes) 1540202020.682 * * [misc]simplify: iters left: 4 (49 enodes) 1540202020.689 * * [misc]simplify: iters left: 3 (97 enodes) 1540202020.707 * * [misc]simplify: iters left: 2 (184 enodes) 1540202020.759 * * [misc]simplify: iters left: 1 (323 enodes) 1540202020.896 * [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)))) 1540202020.896 * [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)))))) 1540202020.896 * * * * [misc]progress: [ 600 / 6878 ] simplifiying candidate # 1540202020.896 * [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))) 1540202020.896 * * [misc]simplify: iters left: 6 (22 enodes) 1540202020.904 * * [misc]simplify: iters left: 5 (35 enodes) 1540202020.916 * * [misc]simplify: iters left: 4 (62 enodes) 1540202020.938 * * [misc]simplify: iters left: 3 (143 enodes) 1540202020.986 * * [misc]simplify: iters left: 2 (361 enodes) 1540202021.224 * [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)))) 1540202021.224 * [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))))))) 1540202021.224 * [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))))) 1540202021.224 * * [misc]simplify: iters left: 6 (21 enodes) 1540202021.230 * * [misc]simplify: iters left: 5 (30 enodes) 1540202021.240 * * [misc]simplify: iters left: 4 (49 enodes) 1540202021.255 * * [misc]simplify: iters left: 3 (97 enodes) 1540202021.279 * * [misc]simplify: iters left: 2 (184 enodes) 1540202021.322 * * [misc]simplify: iters left: 1 (323 enodes) 1540202021.477 * [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)))) 1540202021.477 * [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)))))) 1540202021.477 * * * * [misc]progress: [ 601 / 6878 ] simplifiying candidate # 1540202021.478 * [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))))))) 1540202021.478 * * [misc]simplify: iters left: 6 (24 enodes) 1540202021.486 * * [misc]simplify: iters left: 5 (38 enodes) 1540202021.497 * * [misc]simplify: iters left: 4 (71 enodes) 1540202021.524 * * [misc]simplify: iters left: 3 (188 enodes) 1540202021.612 * [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))))))) 1540202021.612 * [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)))))))) 1540202021.612 * [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)))))) 1540202021.612 * * [misc]simplify: iters left: 6 (22 enodes) 1540202021.615 * * [misc]simplify: iters left: 5 (31 enodes) 1540202021.620 * * [misc]simplify: iters left: 4 (50 enodes) 1540202021.631 * * [misc]simplify: iters left: 3 (98 enodes) 1540202021.667 * * [misc]simplify: iters left: 2 (185 enodes) 1540202021.744 * * [misc]simplify: iters left: 1 (321 enodes) 1540202021.880 * [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)))))) 1540202021.880 * [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)))))))) 1540202021.880 * * * * [misc]progress: [ 602 / 6878 ] simplifiying candidate # 1540202021.881 * [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)))))) 1540202021.881 * * [misc]simplify: iters left: 6 (23 enodes) 1540202021.884 * * [misc]simplify: iters left: 5 (35 enodes) 1540202021.889 * * [misc]simplify: iters left: 4 (62 enodes) 1540202021.900 * * [misc]simplify: iters left: 3 (143 enodes) 1540202021.934 * * [misc]simplify: iters left: 2 (359 enodes) 1540202022.205 * [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)))))) 1540202022.205 * [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)))))))) 1540202022.205 * [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)))))) 1540202022.206 * * [misc]simplify: iters left: 6 (22 enodes) 1540202022.209 * * [misc]simplify: iters left: 5 (31 enodes) 1540202022.213 * * [misc]simplify: iters left: 4 (50 enodes) 1540202022.220 * * [misc]simplify: iters left: 3 (98 enodes) 1540202022.249 * * [misc]simplify: iters left: 2 (185 enodes) 1540202022.312 * * [misc]simplify: iters left: 1 (321 enodes) 1540202022.441 * [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)))))) 1540202022.441 * [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)))))))) 1540202022.441 * * * * [misc]progress: [ 603 / 6878 ] simplifiying candidate # 1540202022.442 * [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)) 1540202022.442 * * [misc]simplify: iters left: 6 (22 enodes) 1540202022.449 * * [misc]simplify: iters left: 5 (35 enodes) 1540202022.460 * * [misc]simplify: iters left: 4 (59 enodes) 1540202022.479 * * [misc]simplify: iters left: 3 (122 enodes) 1540202022.514 * * [misc]simplify: iters left: 2 (384 enodes) 1540202022.849 * [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))))) 1540202022.849 * [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))))))) 1540202022.850 * [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))))) 1540202022.850 * * [misc]simplify: iters left: 6 (21 enodes) 1540202022.853 * * [misc]simplify: iters left: 5 (30 enodes) 1540202022.857 * * [misc]simplify: iters left: 4 (49 enodes) 1540202022.865 * * [misc]simplify: iters left: 3 (97 enodes) 1540202022.883 * * [misc]simplify: iters left: 2 (184 enodes) 1540202022.924 * * [misc]simplify: iters left: 1 (323 enodes) 1540202023.060 * [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))))) 1540202023.060 * [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))))))) 1540202023.061 * * * * [misc]progress: [ 604 / 6878 ] simplifiying candidate # 1540202023.061 * [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))) (pow 2 1/2))) 1540202023.061 * * [misc]simplify: iters left: 6 (20 enodes) 1540202023.065 * * [misc]simplify: iters left: 5 (32 enodes) 1540202023.072 * * [misc]simplify: iters left: 4 (59 enodes) 1540202023.095 * * [misc]simplify: iters left: 3 (140 enodes) 1540202023.164 * * [misc]simplify: iters left: 2 (356 enodes) 1540202023.387 * [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))))) 1540202023.387 * [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))))))) 1540202023.388 * [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))))) 1540202023.388 * * [misc]simplify: iters left: 6 (20 enodes) 1540202023.391 * * [misc]simplify: iters left: 5 (29 enodes) 1540202023.395 * * [misc]simplify: iters left: 4 (48 enodes) 1540202023.402 * * [misc]simplify: iters left: 3 (96 enodes) 1540202023.423 * * [misc]simplify: iters left: 2 (183 enodes) 1540202023.463 * * [misc]simplify: iters left: 1 (324 enodes) 1540202023.633 * [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))))) 1540202023.634 * [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))))))) 1540202023.634 * * * * [misc]progress: [ 605 / 6878 ] simplifiying candidate # 1540202023.634 * [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))) 1540202023.634 * * [misc]simplify: iters left: 6 (20 enodes) 1540202023.638 * * [misc]simplify: iters left: 5 (32 enodes) 1540202023.645 * * [misc]simplify: iters left: 4 (59 enodes) 1540202023.656 * * [misc]simplify: iters left: 3 (140 enodes) 1540202023.692 * * [misc]simplify: iters left: 2 (356 enodes) 1540202023.890 * [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))))) 1540202023.890 * [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))))))) 1540202023.890 * [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))))) 1540202023.890 * * [misc]simplify: iters left: 6 (20 enodes) 1540202023.895 * * [misc]simplify: iters left: 5 (29 enodes) 1540202023.899 * * [misc]simplify: iters left: 4 (48 enodes) 1540202023.906 * * [misc]simplify: iters left: 3 (96 enodes) 1540202023.938 * * [misc]simplify: iters left: 2 (183 enodes) 1540202023.985 * * [misc]simplify: iters left: 1 (324 enodes) 1540202024.120 * [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))))) 1540202024.120 * [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))))))) 1540202024.120 * * * * [misc]progress: [ 606 / 6878 ] simplifiying candidate # 1540202024.121 * [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))))))) 1540202024.121 * * [misc]simplify: iters left: 6 (22 enodes) 1540202024.124 * * [misc]simplify: iters left: 5 (35 enodes) 1540202024.130 * * [misc]simplify: iters left: 4 (68 enodes) 1540202024.155 * * [misc]simplify: iters left: 3 (185 enodes) 1540202024.264 * [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)))))) 1540202024.264 * [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)))))))) 1540202024.264 * [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)))))) 1540202024.264 * * [misc]simplify: iters left: 6 (21 enodes) 1540202024.270 * * [misc]simplify: iters left: 5 (30 enodes) 1540202024.280 * * [misc]simplify: iters left: 4 (49 enodes) 1540202024.295 * * [misc]simplify: iters left: 3 (97 enodes) 1540202024.331 * * [misc]simplify: iters left: 2 (184 enodes) 1540202024.413 * * [misc]simplify: iters left: 1 (323 enodes) 1540202024.593 * [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)))))) 1540202024.593 * [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)))))))) 1540202024.593 * * * * [misc]progress: [ 607 / 6878 ] simplifiying candidate # 1540202024.594 * [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)))))) 1540202024.594 * * [misc]simplify: iters left: 6 (21 enodes) 1540202024.598 * * [misc]simplify: iters left: 5 (32 enodes) 1540202024.602 * * [misc]simplify: iters left: 4 (59 enodes) 1540202024.612 * * [misc]simplify: iters left: 3 (140 enodes) 1540202024.649 * * [misc]simplify: iters left: 2 (361 enodes) 1540202024.855 * [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)))))) 1540202024.855 * [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)))))))) 1540202024.856 * [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)))))) 1540202024.856 * * [misc]simplify: iters left: 6 (21 enodes) 1540202024.859 * * [misc]simplify: iters left: 5 (30 enodes) 1540202024.863 * * [misc]simplify: iters left: 4 (49 enodes) 1540202024.871 * * [misc]simplify: iters left: 3 (97 enodes) 1540202024.902 * * [misc]simplify: iters left: 2 (184 enodes) 1540202024.984 * * [misc]simplify: iters left: 1 (323 enodes) 1540202025.132 * [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)))))) 1540202025.132 * [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)))))))) 1540202025.132 * * * * [misc]progress: [ 608 / 6878 ] simplifiying candidate # 1540202025.133 * [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)) 1540202025.133 * * [misc]simplify: iters left: 6 (20 enodes) 1540202025.139 * * [misc]simplify: iters left: 5 (33 enodes) 1540202025.150 * * [misc]simplify: iters left: 4 (62 enodes) 1540202025.174 * * [misc]simplify: iters left: 3 (111 enodes) 1540202025.218 * * [misc]simplify: iters left: 2 (298 enodes) 1540202025.422 * [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))))) 1540202025.422 * [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))))))) 1540202025.422 * [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))))) 1540202025.422 * * [misc]simplify: iters left: 6 (20 enodes) 1540202025.425 * * [misc]simplify: iters left: 5 (29 enodes) 1540202025.430 * * [misc]simplify: iters left: 4 (48 enodes) 1540202025.438 * * [misc]simplify: iters left: 3 (96 enodes) 1540202025.462 * * [misc]simplify: iters left: 2 (183 enodes) 1540202025.544 * * [misc]simplify: iters left: 1 (324 enodes) 1540202025.680 * [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))))) 1540202025.680 * [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))))))) 1540202025.680 * * * * [misc]progress: [ 609 / 6878 ] simplifiying candidate # 1540202025.680 * [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))) 1540202025.680 * * [misc]simplify: iters left: 6 (21 enodes) 1540202025.684 * * [misc]simplify: iters left: 5 (35 enodes) 1540202025.691 * * [misc]simplify: iters left: 4 (64 enodes) 1540202025.704 * * [misc]simplify: iters left: 3 (175 enodes) 1540202025.765 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202025.765 * [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))))))) 1540202025.766 * [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))))) 1540202025.766 * * [misc]simplify: iters left: 6 (19 enodes) 1540202025.768 * * [misc]simplify: iters left: 5 (28 enodes) 1540202025.772 * * [misc]simplify: iters left: 4 (47 enodes) 1540202025.780 * * [misc]simplify: iters left: 3 (95 enodes) 1540202025.803 * * [misc]simplify: iters left: 2 (182 enodes) 1540202025.887 * * [misc]simplify: iters left: 1 (319 enodes) 1540202026.068 * [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))))) 1540202026.068 * [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))))))) 1540202026.068 * * * * [misc]progress: [ 610 / 6878 ] simplifiying candidate # 1540202026.068 * [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))) 1540202026.069 * * [misc]simplify: iters left: 6 (21 enodes) 1540202026.076 * * [misc]simplify: iters left: 5 (35 enodes) 1540202026.082 * * [misc]simplify: iters left: 4 (64 enodes) 1540202026.095 * * [misc]simplify: iters left: 3 (175 enodes) 1540202026.569 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202026.569 * [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))))))) 1540202026.570 * [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))))) 1540202026.570 * * [misc]simplify: iters left: 6 (19 enodes) 1540202026.575 * * [misc]simplify: iters left: 5 (28 enodes) 1540202026.583 * * [misc]simplify: iters left: 4 (47 enodes) 1540202026.597 * * [misc]simplify: iters left: 3 (95 enodes) 1540202026.616 * * [misc]simplify: iters left: 2 (182 enodes) 1540202026.660 * * [misc]simplify: iters left: 1 (319 enodes) 1540202026.788 * [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))))) 1540202026.788 * [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))))))) 1540202026.788 * * * * [misc]progress: [ 611 / 6878 ] simplifiying candidate # 1540202026.789 * [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))))))) 1540202026.789 * * [misc]simplify: iters left: 6 (23 enodes) 1540202026.792 * * [misc]simplify: iters left: 5 (38 enodes) 1540202026.798 * * [misc]simplify: iters left: 4 (74 enodes) 1540202026.819 * * [misc]simplify: iters left: 3 (230 enodes) 1540202026.929 * [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)))))) 1540202026.929 * [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)))))))) 1540202026.929 * [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)))))) 1540202026.930 * * [misc]simplify: iters left: 6 (20 enodes) 1540202026.936 * * [misc]simplify: iters left: 5 (29 enodes) 1540202026.944 * * [misc]simplify: iters left: 4 (48 enodes) 1540202026.959 * * [misc]simplify: iters left: 3 (96 enodes) 1540202026.979 * * [misc]simplify: iters left: 2 (183 enodes) 1540202027.048 * * [misc]simplify: iters left: 1 (326 enodes) 1540202027.221 * [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)))))) 1540202027.221 * [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)))))))) 1540202027.221 * * * * [misc]progress: [ 612 / 6878 ] simplifiying candidate # 1540202027.221 * [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)))))) 1540202027.222 * * [misc]simplify: iters left: 6 (22 enodes) 1540202027.226 * * [misc]simplify: iters left: 5 (35 enodes) 1540202027.231 * * [misc]simplify: iters left: 4 (64 enodes) 1540202027.243 * * [misc]simplify: iters left: 3 (175 enodes) 1540202027.324 * [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))))) 1540202027.324 * [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)))))))) 1540202027.325 * [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)))))) 1540202027.325 * * [misc]simplify: iters left: 6 (20 enodes) 1540202027.327 * * [misc]simplify: iters left: 5 (29 enodes) 1540202027.332 * * [misc]simplify: iters left: 4 (48 enodes) 1540202027.339 * * [misc]simplify: iters left: 3 (96 enodes) 1540202027.368 * * [misc]simplify: iters left: 2 (183 enodes) 1540202027.446 * * [misc]simplify: iters left: 1 (326 enodes) 1540202027.592 * [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)))))) 1540202027.592 * [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)))))))) 1540202027.592 * * * * [misc]progress: [ 613 / 6878 ] simplifiying candidate # 1540202027.593 * [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)) 1540202027.593 * * [misc]simplify: iters left: 6 (20 enodes) 1540202027.600 * * [misc]simplify: iters left: 5 (33 enodes) 1540202027.610 * * [misc]simplify: iters left: 4 (50 enodes) 1540202027.618 * * [misc]simplify: iters left: 3 (91 enodes) 1540202027.641 * * [misc]simplify: iters left: 2 (204 enodes) 1540202027.778 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202027.778 * [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))))))) 1540202027.778 * [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))))) 1540202027.778 * * [misc]simplify: iters left: 6 (19 enodes) 1540202027.781 * * [misc]simplify: iters left: 5 (28 enodes) 1540202027.785 * * [misc]simplify: iters left: 4 (47 enodes) 1540202027.792 * * [misc]simplify: iters left: 3 (95 enodes) 1540202027.810 * * [misc]simplify: iters left: 2 (182 enodes) 1540202027.883 * * [misc]simplify: iters left: 1 (319 enodes) 1540202028.061 * [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)))))) 1540202028.061 * [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)))))))) 1540202028.062 * * * * [misc]progress: [ 614 / 6878 ] simplifiying candidate # 1540202028.062 * [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))) 1540202028.062 * * [misc]simplify: iters left: 6 (20 enodes) 1540202028.069 * * [misc]simplify: iters left: 5 (32 enodes) 1540202028.080 * * [misc]simplify: iters left: 4 (59 enodes) 1540202028.104 * * [misc]simplify: iters left: 3 (140 enodes) 1540202028.176 * * [misc]simplify: iters left: 2 (356 enodes) 1540202028.394 * [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))))) 1540202028.394 * [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))))))) 1540202028.394 * [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))))) 1540202028.394 * * [misc]simplify: iters left: 6 (20 enodes) 1540202028.397 * * [misc]simplify: iters left: 5 (29 enodes) 1540202028.401 * * [misc]simplify: iters left: 4 (48 enodes) 1540202028.409 * * [misc]simplify: iters left: 3 (96 enodes) 1540202028.430 * * [misc]simplify: iters left: 2 (183 enodes) 1540202028.497 * * [misc]simplify: iters left: 1 (324 enodes) 1540202028.638 * [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))))) 1540202028.638 * [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))))))) 1540202028.638 * * * * [misc]progress: [ 615 / 6878 ] simplifiying candidate # 1540202028.639 * [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))) 1540202028.639 * * [misc]simplify: iters left: 6 (20 enodes) 1540202028.646 * * [misc]simplify: iters left: 5 (32 enodes) 1540202028.657 * * [misc]simplify: iters left: 4 (59 enodes) 1540202028.679 * * [misc]simplify: iters left: 3 (140 enodes) 1540202028.753 * * [misc]simplify: iters left: 2 (356 enodes) 1540202028.964 * [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))))) 1540202028.964 * [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))))))) 1540202028.965 * [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))))) 1540202028.965 * * [misc]simplify: iters left: 6 (20 enodes) 1540202028.971 * * [misc]simplify: iters left: 5 (29 enodes) 1540202028.975 * * [misc]simplify: iters left: 4 (48 enodes) 1540202028.982 * * [misc]simplify: iters left: 3 (96 enodes) 1540202029.002 * * [misc]simplify: iters left: 2 (183 enodes) 1540202029.041 * * [misc]simplify: iters left: 1 (324 enodes) 1540202029.199 * [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))))) 1540202029.199 * [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))))))) 1540202029.199 * * * * [misc]progress: [ 616 / 6878 ] simplifiying candidate # 1540202029.200 * [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))))))) 1540202029.200 * * [misc]simplify: iters left: 6 (22 enodes) 1540202029.203 * * [misc]simplify: iters left: 5 (35 enodes) 1540202029.208 * * [misc]simplify: iters left: 4 (68 enodes) 1540202029.229 * * [misc]simplify: iters left: 3 (185 enodes) 1540202029.352 * [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)))))) 1540202029.352 * [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)))))))) 1540202029.352 * [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)))))) 1540202029.353 * * [misc]simplify: iters left: 6 (21 enodes) 1540202029.355 * * [misc]simplify: iters left: 5 (30 enodes) 1540202029.360 * * [misc]simplify: iters left: 4 (49 enodes) 1540202029.371 * * [misc]simplify: iters left: 3 (97 enodes) 1540202029.397 * * [misc]simplify: iters left: 2 (184 enodes) 1540202029.440 * * [misc]simplify: iters left: 1 (323 enodes) 1540202029.593 * [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)))))) 1540202029.593 * [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)))))))) 1540202029.594 * * * * [misc]progress: [ 617 / 6878 ] simplifiying candidate # 1540202029.594 * [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)))))) 1540202029.594 * * [misc]simplify: iters left: 6 (21 enodes) 1540202029.597 * * [misc]simplify: iters left: 5 (32 enodes) 1540202029.602 * * [misc]simplify: iters left: 4 (59 enodes) 1540202029.616 * * [misc]simplify: iters left: 3 (140 enodes) 1540202029.654 * * [misc]simplify: iters left: 2 (361 enodes) 1540202029.889 * [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)))))) 1540202029.889 * [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)))))))) 1540202029.889 * [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)))))) 1540202029.889 * * [misc]simplify: iters left: 6 (21 enodes) 1540202029.892 * * [misc]simplify: iters left: 5 (30 enodes) 1540202029.897 * * [misc]simplify: iters left: 4 (49 enodes) 1540202029.904 * * [misc]simplify: iters left: 3 (97 enodes) 1540202029.938 * * [misc]simplify: iters left: 2 (184 enodes) 1540202030.023 * * [misc]simplify: iters left: 1 (323 enodes) 1540202030.195 * [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)))))) 1540202030.195 * [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)))))))) 1540202030.195 * * * * [misc]progress: [ 618 / 6878 ] simplifiying candidate # 1540202030.196 * [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)) 1540202030.196 * * [misc]simplify: iters left: 6 (20 enodes) 1540202030.202 * * [misc]simplify: iters left: 5 (33 enodes) 1540202030.213 * * [misc]simplify: iters left: 4 (62 enodes) 1540202030.229 * * [misc]simplify: iters left: 3 (111 enodes) 1540202030.251 * * [misc]simplify: iters left: 2 (298 enodes) 1540202030.445 * [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))))) 1540202030.445 * [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))))))) 1540202030.445 * [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))))) 1540202030.445 * * [misc]simplify: iters left: 6 (20 enodes) 1540202030.452 * * [misc]simplify: iters left: 5 (29 enodes) 1540202030.460 * * [misc]simplify: iters left: 4 (48 enodes) 1540202030.476 * * [misc]simplify: iters left: 3 (96 enodes) 1540202030.514 * * [misc]simplify: iters left: 2 (183 enodes) 1540202030.598 * * [misc]simplify: iters left: 1 (324 enodes) 1540202030.775 * [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))))) 1540202030.775 * [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))))))) 1540202030.775 * * * * [misc]progress: [ 619 / 6878 ] simplifiying candidate # 1540202030.776 * [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))) 1540202030.776 * * [misc]simplify: iters left: 6 (20 enodes) 1540202030.779 * * [misc]simplify: iters left: 5 (34 enodes) 1540202030.785 * * [misc]simplify: iters left: 4 (59 enodes) 1540202030.796 * * [misc]simplify: iters left: 3 (141 enodes) 1540202030.849 * * [misc]simplify: iters left: 2 (417 enodes) 1540202031.148 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202031.148 * [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))))))) 1540202031.148 * [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))))) 1540202031.148 * * [misc]simplify: iters left: 6 (19 enodes) 1540202031.154 * * [misc]simplify: iters left: 5 (28 enodes) 1540202031.163 * * [misc]simplify: iters left: 4 (47 enodes) 1540202031.178 * * [misc]simplify: iters left: 3 (95 enodes) 1540202031.215 * * [misc]simplify: iters left: 2 (182 enodes) 1540202031.287 * * [misc]simplify: iters left: 1 (319 enodes) 1540202031.432 * [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))))) 1540202031.432 * [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))))))) 1540202031.432 * * * * [misc]progress: [ 620 / 6878 ] simplifiying candidate # 1540202031.432 * [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))) 1540202031.432 * * [misc]simplify: iters left: 6 (20 enodes) 1540202031.436 * * [misc]simplify: iters left: 5 (34 enodes) 1540202031.442 * * [misc]simplify: iters left: 4 (59 enodes) 1540202031.454 * * [misc]simplify: iters left: 3 (141 enodes) 1540202031.495 * * [misc]simplify: iters left: 2 (417 enodes) 1540202031.839 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202031.839 * [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))))))) 1540202031.839 * [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))))) 1540202031.840 * * [misc]simplify: iters left: 6 (19 enodes) 1540202031.845 * * [misc]simplify: iters left: 5 (28 enodes) 1540202031.852 * * [misc]simplify: iters left: 4 (47 enodes) 1540202031.859 * * [misc]simplify: iters left: 3 (95 enodes) 1540202031.876 * * [misc]simplify: iters left: 2 (182 enodes) 1540202031.924 * * [misc]simplify: iters left: 1 (319 enodes) 1540202032.074 * [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))))) 1540202032.074 * [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))))))) 1540202032.074 * * * * [misc]progress: [ 621 / 6878 ] simplifiying candidate # 1540202032.075 * [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))))))) 1540202032.075 * * [misc]simplify: iters left: 6 (22 enodes) 1540202032.078 * * [misc]simplify: iters left: 5 (37 enodes) 1540202032.084 * * [misc]simplify: iters left: 4 (68 enodes) 1540202032.097 * * [misc]simplify: iters left: 3 (192 enodes) 1540202032.168 * [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))))))) 1540202032.168 * [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)))))))) 1540202032.168 * [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)))))) 1540202032.168 * * [misc]simplify: iters left: 6 (20 enodes) 1540202032.171 * * [misc]simplify: iters left: 5 (29 enodes) 1540202032.175 * * [misc]simplify: iters left: 4 (48 enodes) 1540202032.184 * * [misc]simplify: iters left: 3 (96 enodes) 1540202032.202 * * [misc]simplify: iters left: 2 (183 enodes) 1540202032.273 * * [misc]simplify: iters left: 1 (326 enodes) 1540202032.399 * [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)))))) 1540202032.399 * [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)))))))) 1540202032.399 * * * * [misc]progress: [ 622 / 6878 ] simplifiying candidate # 1540202032.400 * [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)))))) 1540202032.400 * * [misc]simplify: iters left: 6 (21 enodes) 1540202032.403 * * [misc]simplify: iters left: 5 (34 enodes) 1540202032.414 * * [misc]simplify: iters left: 4 (59 enodes) 1540202032.434 * * [misc]simplify: iters left: 3 (141 enodes) 1540202032.494 * * [misc]simplify: iters left: 2 (417 enodes) 1540202032.843 * [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))))) 1540202032.843 * [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)))))))) 1540202032.844 * [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)))))) 1540202032.844 * * [misc]simplify: iters left: 6 (20 enodes) 1540202032.850 * * [misc]simplify: iters left: 5 (29 enodes) 1540202032.859 * * [misc]simplify: iters left: 4 (48 enodes) 1540202032.875 * * [misc]simplify: iters left: 3 (96 enodes) 1540202032.903 * * [misc]simplify: iters left: 2 (183 enodes) 1540202032.960 * * [misc]simplify: iters left: 1 (326 enodes) 1540202033.178 * [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)))))) 1540202033.178 * [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)))))))) 1540202033.178 * * * * [misc]progress: [ 623 / 6878 ] simplifiying candidate # 1540202033.179 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540202033.179 * * [misc]simplify: iters left: 6 (19 enodes) 1540202033.185 * * [misc]simplify: iters left: 5 (30 enodes) 1540202033.194 * * [misc]simplify: iters left: 4 (47 enodes) 1540202033.209 * * [misc]simplify: iters left: 3 (83 enodes) 1540202033.228 * * [misc]simplify: iters left: 2 (160 enodes) 1540202033.276 * * [misc]simplify: iters left: 1 (272 enodes) 1540202033.388 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202033.388 * [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))))))) 1540202033.389 * [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))))) 1540202033.389 * * [misc]simplify: iters left: 6 (19 enodes) 1540202033.391 * * [misc]simplify: iters left: 5 (28 enodes) 1540202033.395 * * [misc]simplify: iters left: 4 (47 enodes) 1540202033.403 * * [misc]simplify: iters left: 3 (95 enodes) 1540202033.420 * * [misc]simplify: iters left: 2 (182 enodes) 1540202033.484 * * [misc]simplify: iters left: 1 (319 enodes) 1540202033.631 * [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)))))) 1540202033.631 * [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)))))))) 1540202033.631 * * * * [misc]progress: [ 624 / 6878 ] simplifiying candidate # 1540202033.631 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540202033.631 * * [misc]simplify: iters left: 6 (18 enodes) 1540202033.637 * * [misc]simplify: iters left: 5 (29 enodes) 1540202033.645 * * [misc]simplify: iters left: 4 (49 enodes) 1540202033.661 * * [misc]simplify: iters left: 3 (95 enodes) 1540202033.691 * * [misc]simplify: iters left: 2 (175 enodes) 1540202033.749 * * [misc]simplify: iters left: 1 (313 enodes) 1540202033.895 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540202033.895 * [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))))))) 1540202033.895 * [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))))) 1540202033.895 * * [misc]simplify: iters left: 6 (19 enodes) 1540202033.901 * * [misc]simplify: iters left: 5 (28 enodes) 1540202033.910 * * [misc]simplify: iters left: 4 (47 enodes) 1540202033.925 * * [misc]simplify: iters left: 3 (95 enodes) 1540202033.964 * * [misc]simplify: iters left: 2 (182 enodes) 1540202034.044 * * [misc]simplify: iters left: 1 (319 enodes) 1540202034.221 * [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)))))) 1540202034.221 * [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)))))))) 1540202034.221 * * * * [misc]progress: [ 625 / 6878 ] simplifiying candidate # 1540202034.221 * [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))) 1540202034.222 * * [misc]simplify: iters left: 6 (17 enodes) 1540202034.227 * * [misc]simplify: iters left: 5 (26 enodes) 1540202034.235 * * [misc]simplify: iters left: 4 (45 enodes) 1540202034.249 * * [misc]simplify: iters left: 3 (88 enodes) 1540202034.278 * * [misc]simplify: iters left: 2 (144 enodes) 1540202034.333 * * [misc]simplify: iters left: 1 (190 enodes) 1540202034.398 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1540202034.398 * [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))))))) 1540202034.399 * [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))))) 1540202034.399 * * [misc]simplify: iters left: 6 (20 enodes) 1540202034.405 * * [misc]simplify: iters left: 5 (31 enodes) 1540202034.414 * * [misc]simplify: iters left: 4 (48 enodes) 1540202034.429 * * [misc]simplify: iters left: 3 (100 enodes) 1540202034.462 * * [misc]simplify: iters left: 2 (208 enodes) 1540202034.555 * [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)))) 1540202034.555 * [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)))))) 1540202034.555 * * * * [misc]progress: [ 626 / 6878 ] simplifiying candidate # 1540202034.555 * [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))) 1540202034.555 * * [misc]simplify: iters left: 6 (19 enodes) 1540202034.559 * * [misc]simplify: iters left: 5 (31 enodes) 1540202034.570 * * [misc]simplify: iters left: 4 (58 enodes) 1540202034.591 * * [misc]simplify: iters left: 3 (139 enodes) 1540202034.655 * * [misc]simplify: iters left: 2 (359 enodes) 1540202034.820 * [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))))) 1540202034.820 * [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))))) 1540202034.820 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202034.820 * * [misc]simplify: iters left: 6 (18 enodes) 1540202034.823 * * [misc]simplify: iters left: 5 (25 enodes) 1540202034.826 * * [misc]simplify: iters left: 4 (36 enodes) 1540202034.833 * * [misc]simplify: iters left: 3 (51 enodes) 1540202034.842 * * [misc]simplify: iters left: 2 (68 enodes) 1540202034.860 * * [misc]simplify: iters left: 1 (85 enodes) 1540202034.876 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540202034.876 * [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)))))) 1540202034.876 * * * * [misc]progress: [ 627 / 6878 ] simplifiying candidate # 1540202034.876 * [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))))))) 1540202034.876 * * [misc]simplify: iters left: 6 (19 enodes) 1540202034.879 * * [misc]simplify: iters left: 5 (32 enodes) 1540202034.885 * * [misc]simplify: iters left: 4 (59 enodes) 1540202034.893 * * [misc]simplify: iters left: 3 (97 enodes) 1540202034.913 * * [misc]simplify: iters left: 2 (272 enodes) 1540202035.141 * [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)))))) 1540202035.141 * [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)))))))) 1540202035.142 * [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)))))) 1540202035.142 * * [misc]simplify: iters left: 6 (19 enodes) 1540202035.148 * * [misc]simplify: iters left: 5 (26 enodes) 1540202035.154 * * [misc]simplify: iters left: 4 (37 enodes) 1540202035.164 * * [misc]simplify: iters left: 3 (52 enodes) 1540202035.178 * * [misc]simplify: iters left: 2 (69 enodes) 1540202035.200 * * [misc]simplify: iters left: 1 (86 enodes) 1540202035.225 * [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)))))) 1540202035.225 * [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)))))))) 1540202035.225 * * * * [misc]progress: [ 628 / 6878 ] simplifiying candidate # 1540202035.225 * [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)))))) 1540202035.225 * * [misc]simplify: iters left: 6 (18 enodes) 1540202035.231 * * [misc]simplify: iters left: 5 (29 enodes) 1540202035.241 * * [misc]simplify: iters left: 4 (50 enodes) 1540202035.255 * * [misc]simplify: iters left: 3 (65 enodes) 1540202035.275 * * [misc]simplify: iters left: 2 (148 enodes) 1540202035.349 * * [misc]simplify: iters left: 1 (429 enodes) 1540202035.613 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202035.613 * [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)))))))) 1540202035.613 * [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)))))) 1540202035.613 * * [misc]simplify: iters left: 6 (19 enodes) 1540202035.616 * * [misc]simplify: iters left: 5 (26 enodes) 1540202035.619 * * [misc]simplify: iters left: 4 (37 enodes) 1540202035.624 * * [misc]simplify: iters left: 3 (52 enodes) 1540202035.631 * * [misc]simplify: iters left: 2 (69 enodes) 1540202035.642 * * [misc]simplify: iters left: 1 (86 enodes) 1540202035.666 * [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)))))) 1540202035.666 * [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)))))))) 1540202035.667 * * * * [misc]progress: [ 629 / 6878 ] simplifiying candidate # 1540202035.667 * [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))) 1540202035.667 * * [misc]simplify: iters left: 6 (15 enodes) 1540202035.673 * * [misc]simplify: iters left: 5 (29 enodes) 1540202035.683 * * [misc]simplify: iters left: 4 (68 enodes) 1540202035.710 * * [misc]simplify: iters left: 3 (134 enodes) 1540202035.784 * * [misc]simplify: iters left: 2 (423 enodes) 1540202036.206 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540202036.206 * [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))))))) 1540202036.206 * [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))))) 1540202036.206 * * [misc]simplify: iters left: 6 (18 enodes) 1540202036.209 * * [misc]simplify: iters left: 5 (27 enodes) 1540202036.212 * * [misc]simplify: iters left: 4 (45 enodes) 1540202036.224 * * [misc]simplify: iters left: 3 (90 enodes) 1540202036.256 * * [misc]simplify: iters left: 2 (155 enodes) 1540202036.326 * * [misc]simplify: iters left: 1 (238 enodes) 1540202036.419 * [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)))) 1540202036.419 * [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)))))) 1540202036.419 * * * * [misc]progress: [ 630 / 6878 ] simplifiying candidate # 1540202036.420 * [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))) 1540202036.420 * * [misc]simplify: iters left: 6 (15 enodes) 1540202036.423 * * [misc]simplify: iters left: 5 (29 enodes) 1540202036.428 * * [misc]simplify: iters left: 4 (68 enodes) 1540202036.449 * * [misc]simplify: iters left: 3 (134 enodes) 1540202036.504 * * [misc]simplify: iters left: 2 (423 enodes) 1540202036.966 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540202036.966 * [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))))))) 1540202036.966 * [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))))) 1540202036.966 * * [misc]simplify: iters left: 6 (18 enodes) 1540202036.969 * * [misc]simplify: iters left: 5 (27 enodes) 1540202036.974 * * [misc]simplify: iters left: 4 (45 enodes) 1540202036.989 * * [misc]simplify: iters left: 3 (90 enodes) 1540202037.022 * * [misc]simplify: iters left: 2 (155 enodes) 1540202037.062 * * [misc]simplify: iters left: 1 (238 enodes) 1540202037.152 * [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)))) 1540202037.152 * [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)))))) 1540202037.152 * * * * [misc]progress: [ 631 / 6878 ] simplifiying candidate # 1540202037.152 * [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))))))) 1540202037.153 * * [misc]simplify: iters left: 6 (19 enodes) 1540202037.159 * * [misc]simplify: iters left: 5 (38 enodes) 1540202037.173 * * [misc]simplify: iters left: 4 (100 enodes) 1540202037.209 * * [misc]simplify: iters left: 3 (234 enodes) 1540202037.351 * [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))))) 1540202037.351 * [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)))))))) 1540202037.351 * [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)))))) 1540202037.352 * * [misc]simplify: iters left: 6 (19 enodes) 1540202037.358 * * [misc]simplify: iters left: 5 (28 enodes) 1540202037.363 * * [misc]simplify: iters left: 4 (46 enodes) 1540202037.370 * * [misc]simplify: iters left: 3 (91 enodes) 1540202037.387 * * [misc]simplify: iters left: 2 (156 enodes) 1540202037.421 * * [misc]simplify: iters left: 1 (238 enodes) 1540202037.503 * [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)))))) 1540202037.503 * [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)))))))) 1540202037.503 * * * * [misc]progress: [ 632 / 6878 ] simplifiying candidate # 1540202037.504 * [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)))))) 1540202037.504 * * [misc]simplify: iters left: 6 (18 enodes) 1540202037.510 * * [misc]simplify: iters left: 5 (33 enodes) 1540202037.523 * * [misc]simplify: iters left: 4 (75 enodes) 1540202037.551 * * [misc]simplify: iters left: 3 (142 enodes) 1540202037.590 * * [misc]simplify: iters left: 2 (435 enodes) 1540202038.090 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k))))) 1540202038.090 * [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)))))))) 1540202038.091 * [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)))))) 1540202038.091 * * [misc]simplify: iters left: 6 (19 enodes) 1540202038.100 * * [misc]simplify: iters left: 5 (28 enodes) 1540202038.109 * * [misc]simplify: iters left: 4 (46 enodes) 1540202038.123 * * [misc]simplify: iters left: 3 (91 enodes) 1540202038.156 * * [misc]simplify: iters left: 2 (156 enodes) 1540202038.221 * * [misc]simplify: iters left: 1 (238 enodes) 1540202038.289 * [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)))))) 1540202038.289 * [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)))))))) 1540202038.289 * * * * [misc]progress: [ 633 / 6878 ] simplifiying candidate # 1540202038.289 * [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)) 1540202038.289 * * [misc]simplify: iters left: 6 (12 enodes) 1540202038.291 * * [misc]simplify: iters left: 5 (23 enodes) 1540202038.295 * * [misc]simplify: iters left: 4 (44 enodes) 1540202038.303 * * [misc]simplify: iters left: 3 (77 enodes) 1540202038.327 * * [misc]simplify: iters left: 2 (186 enodes) 1540202038.407 * * [misc]simplify: iters left: 1 (372 enodes) 1540202038.533 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540202038.533 * [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))))))) 1540202038.533 * [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))))) 1540202038.533 * * [misc]simplify: iters left: 6 (18 enodes) 1540202038.539 * * [misc]simplify: iters left: 5 (27 enodes) 1540202038.547 * * [misc]simplify: iters left: 4 (45 enodes) 1540202038.563 * * [misc]simplify: iters left: 3 (90 enodes) 1540202038.579 * * [misc]simplify: iters left: 2 (155 enodes) 1540202038.635 * * [misc]simplify: iters left: 1 (238 enodes) 1540202038.729 * [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)))) 1540202038.729 * [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)))))) 1540202038.729 * * * * [misc]progress: [ 634 / 6878 ] simplifiying candidate # 1540202038.729 * [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))) 1540202038.729 * * [misc]simplify: iters left: 6 (18 enodes) 1540202038.733 * * [misc]simplify: iters left: 5 (31 enodes) 1540202038.741 * * [misc]simplify: iters left: 4 (55 enodes) 1540202038.757 * * [misc]simplify: iters left: 3 (94 enodes) 1540202038.777 * * [misc]simplify: iters left: 2 (252 enodes) 1540202038.942 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202038.942 * [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))))))) 1540202038.943 * [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))))) 1540202038.943 * * [misc]simplify: iters left: 6 (20 enodes) 1540202038.948 * * [misc]simplify: iters left: 5 (29 enodes) 1540202038.952 * * [misc]simplify: iters left: 4 (48 enodes) 1540202038.960 * * [misc]simplify: iters left: 3 (96 enodes) 1540202038.978 * * [misc]simplify: iters left: 2 (183 enodes) 1540202039.039 * * [misc]simplify: iters left: 1 (323 enodes) 1540202039.221 * [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)))) 1540202039.221 * [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)))))) 1540202039.221 * * * * [misc]progress: [ 635 / 6878 ] simplifiying candidate # 1540202039.222 * [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))) 1540202039.222 * * [misc]simplify: iters left: 6 (18 enodes) 1540202039.228 * * [misc]simplify: iters left: 5 (31 enodes) 1540202039.238 * * [misc]simplify: iters left: 4 (55 enodes) 1540202039.254 * * [misc]simplify: iters left: 3 (94 enodes) 1540202039.290 * * [misc]simplify: iters left: 2 (252 enodes) 1540202039.473 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202039.473 * [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))))))) 1540202039.474 * [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))))) 1540202039.474 * * [misc]simplify: iters left: 6 (20 enodes) 1540202039.477 * * [misc]simplify: iters left: 5 (29 enodes) 1540202039.482 * * [misc]simplify: iters left: 4 (48 enodes) 1540202039.500 * * [misc]simplify: iters left: 3 (96 enodes) 1540202039.536 * * [misc]simplify: iters left: 2 (183 enodes) 1540202039.609 * * [misc]simplify: iters left: 1 (323 enodes) 1540202039.770 * [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)))) 1540202039.770 * [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)))))) 1540202039.770 * * * * [misc]progress: [ 636 / 6878 ] simplifiying candidate # 1540202039.770 * [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))))))) 1540202039.770 * * [misc]simplify: iters left: 6 (22 enodes) 1540202039.774 * * [misc]simplify: iters left: 5 (38 enodes) 1540202039.781 * * [misc]simplify: iters left: 4 (71 enodes) 1540202039.793 * * [misc]simplify: iters left: 3 (134 enodes) 1540202039.828 * * [misc]simplify: iters left: 2 (426 enodes) 1540202040.237 * [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)))))) 1540202040.237 * [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)))))))) 1540202040.237 * [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)))))) 1540202040.238 * * [misc]simplify: iters left: 6 (21 enodes) 1540202040.240 * * [misc]simplify: iters left: 5 (30 enodes) 1540202040.245 * * [misc]simplify: iters left: 4 (49 enodes) 1540202040.252 * * [misc]simplify: iters left: 3 (97 enodes) 1540202040.279 * * [misc]simplify: iters left: 2 (184 enodes) 1540202040.323 * * [misc]simplify: iters left: 1 (321 enodes) 1540202040.423 * [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)))))) 1540202040.423 * [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)))))))) 1540202040.423 * * * * [misc]progress: [ 637 / 6878 ] simplifiying candidate # 1540202040.423 * [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)))))) 1540202040.424 * * [misc]simplify: iters left: 6 (21 enodes) 1540202040.427 * * [misc]simplify: iters left: 5 (35 enodes) 1540202040.432 * * [misc]simplify: iters left: 4 (62 enodes) 1540202040.447 * * [misc]simplify: iters left: 3 (101 enodes) 1540202040.485 * * [misc]simplify: iters left: 2 (297 enodes) 1540202040.755 * [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)))))) 1540202040.755 * [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)))))))) 1540202040.755 * [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)))))) 1540202040.756 * * [misc]simplify: iters left: 6 (21 enodes) 1540202040.758 * * [misc]simplify: iters left: 5 (30 enodes) 1540202040.763 * * [misc]simplify: iters left: 4 (49 enodes) 1540202040.770 * * [misc]simplify: iters left: 3 (97 enodes) 1540202040.805 * * [misc]simplify: iters left: 2 (184 enodes) 1540202040.887 * * [misc]simplify: iters left: 1 (321 enodes) 1540202041.053 * [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)))))) 1540202041.054 * [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)))))))) 1540202041.054 * * * * [misc]progress: [ 638 / 6878 ] simplifiying candidate # 1540202041.054 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202041.054 * * [misc]simplify: iters left: 6 (16 enodes) 1540202041.059 * * [misc]simplify: iters left: 5 (27 enodes) 1540202041.068 * * [misc]simplify: iters left: 4 (49 enodes) 1540202041.083 * * [misc]simplify: iters left: 3 (74 enodes) 1540202041.100 * * [misc]simplify: iters left: 2 (155 enodes) 1540202041.152 * * [misc]simplify: iters left: 1 (255 enodes) 1540202041.230 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202041.230 * [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))))))) 1540202041.230 * [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))))) 1540202041.230 * * [misc]simplify: iters left: 6 (20 enodes) 1540202041.235 * * [misc]simplify: iters left: 5 (29 enodes) 1540202041.244 * * [misc]simplify: iters left: 4 (48 enodes) 1540202041.260 * * [misc]simplify: iters left: 3 (96 enodes) 1540202041.296 * * [misc]simplify: iters left: 2 (183 enodes) 1540202041.364 * * [misc]simplify: iters left: 1 (323 enodes) 1540202041.520 * [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))))) 1540202041.520 * [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))))))) 1540202041.520 * * * * [misc]progress: [ 639 / 6878 ] simplifiying candidate # 1540202041.520 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202041.521 * * [misc]simplify: iters left: 6 (16 enodes) 1540202041.526 * * [misc]simplify: iters left: 5 (28 enodes) 1540202041.533 * * [misc]simplify: iters left: 4 (52 enodes) 1540202041.543 * * [misc]simplify: iters left: 3 (129 enodes) 1540202041.587 * * [misc]simplify: iters left: 2 (495 enodes) 1540202042.101 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202042.102 * [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))))))) 1540202042.106 * [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))))) 1540202042.106 * * [misc]simplify: iters left: 6 (19 enodes) 1540202042.112 * * [misc]simplify: iters left: 5 (28 enodes) 1540202042.121 * * [misc]simplify: iters left: 4 (47 enodes) 1540202042.135 * * [misc]simplify: iters left: 3 (95 enodes) 1540202042.172 * * [misc]simplify: iters left: 2 (182 enodes) 1540202042.254 * * [misc]simplify: iters left: 1 (317 enodes) 1540202042.405 * [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)))))) 1540202042.405 * [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)))))))) 1540202042.406 * * * * [misc]progress: [ 640 / 6878 ] simplifiying candidate # 1540202042.406 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202042.406 * * [misc]simplify: iters left: 6 (16 enodes) 1540202042.412 * * [misc]simplify: iters left: 5 (28 enodes) 1540202042.423 * * [misc]simplify: iters left: 4 (52 enodes) 1540202042.440 * * [misc]simplify: iters left: 3 (129 enodes) 1540202042.507 * * [misc]simplify: iters left: 2 (495 enodes) 1540202043.178 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202043.178 * [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))))))) 1540202043.178 * [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))))) 1540202043.178 * * [misc]simplify: iters left: 6 (19 enodes) 1540202043.181 * * [misc]simplify: iters left: 5 (28 enodes) 1540202043.185 * * [misc]simplify: iters left: 4 (47 enodes) 1540202043.192 * * [misc]simplify: iters left: 3 (95 enodes) 1540202043.219 * * [misc]simplify: iters left: 2 (182 enodes) 1540202043.269 * * [misc]simplify: iters left: 1 (317 enodes) 1540202043.425 * [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)))))) 1540202043.425 * [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)))))))) 1540202043.425 * * * * [misc]progress: [ 641 / 6878 ] simplifiying candidate # 1540202043.426 * [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))))))) 1540202043.426 * * [misc]simplify: iters left: 6 (20 enodes) 1540202043.429 * * [misc]simplify: iters left: 5 (35 enodes) 1540202043.435 * * [misc]simplify: iters left: 4 (68 enodes) 1540202043.447 * * [misc]simplify: iters left: 3 (174 enodes) 1540202043.539 * [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)))))) 1540202043.539 * [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)))))))) 1540202043.539 * [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)))))) 1540202043.540 * * [misc]simplify: iters left: 6 (20 enodes) 1540202043.542 * * [misc]simplify: iters left: 5 (29 enodes) 1540202043.548 * * [misc]simplify: iters left: 4 (48 enodes) 1540202043.556 * * [misc]simplify: iters left: 3 (96 enodes) 1540202043.575 * * [misc]simplify: iters left: 2 (183 enodes) 1540202043.645 * * [misc]simplify: iters left: 1 (321 enodes) 1540202043.762 * [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)))))) 1540202043.763 * [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)))))))) 1540202043.763 * * * * [misc]progress: [ 642 / 6878 ] simplifiying candidate # 1540202043.763 * [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)))))) 1540202043.763 * * [misc]simplify: iters left: 6 (19 enodes) 1540202043.766 * * [misc]simplify: iters left: 5 (32 enodes) 1540202043.773 * * [misc]simplify: iters left: 4 (59 enodes) 1540202043.782 * * [misc]simplify: iters left: 3 (96 enodes) 1540202043.799 * * [misc]simplify: iters left: 2 (261 enodes) 1540202043.952 * [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))))) 1540202043.952 * [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)))))))) 1540202043.953 * [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)))))) 1540202043.953 * * [misc]simplify: iters left: 6 (20 enodes) 1540202043.958 * * [misc]simplify: iters left: 5 (29 enodes) 1540202043.966 * * [misc]simplify: iters left: 4 (48 enodes) 1540202043.981 * * [misc]simplify: iters left: 3 (96 enodes) 1540202044.018 * * [misc]simplify: iters left: 2 (183 enodes) 1540202044.099 * * [misc]simplify: iters left: 1 (321 enodes) 1540202044.211 * [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)))))) 1540202044.211 * [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)))))))) 1540202044.211 * * * * [misc]progress: [ 643 / 6878 ] simplifiying candidate # 1540202044.211 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202044.211 * * [misc]simplify: iters left: 6 (14 enodes) 1540202044.213 * * [misc]simplify: iters left: 5 (25 enodes) 1540202044.218 * * [misc]simplify: iters left: 4 (50 enodes) 1540202044.225 * * [misc]simplify: iters left: 3 (68 enodes) 1540202044.233 * * [misc]simplify: iters left: 2 (138 enodes) 1540202044.301 * * [misc]simplify: iters left: 1 (238 enodes) 1540202044.413 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202044.413 * [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))))))) 1540202044.414 * [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))))) 1540202044.414 * * [misc]simplify: iters left: 6 (19 enodes) 1540202044.420 * * [misc]simplify: iters left: 5 (28 enodes) 1540202044.429 * * [misc]simplify: iters left: 4 (47 enodes) 1540202044.445 * * [misc]simplify: iters left: 3 (95 enodes) 1540202044.466 * * [misc]simplify: iters left: 2 (182 enodes) 1540202044.534 * * [misc]simplify: iters left: 1 (317 enodes) 1540202044.706 * [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)))))) 1540202044.706 * [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)))))))) 1540202044.706 * * * * [misc]progress: [ 644 / 6878 ] simplifiying candidate # 1540202044.707 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202044.707 * * [misc]simplify: iters left: 6 (16 enodes) 1540202044.714 * * [misc]simplify: iters left: 5 (28 enodes) 1540202044.724 * * [misc]simplify: iters left: 4 (52 enodes) 1540202044.742 * * [misc]simplify: iters left: 3 (99 enodes) 1540202044.803 * * [misc]simplify: iters left: 2 (292 enodes) 1540202045.022 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202045.022 * [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))))))) 1540202045.022 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202045.022 * * [misc]simplify: iters left: 6 (18 enodes) 1540202045.025 * * [misc]simplify: iters left: 5 (27 enodes) 1540202045.029 * * [misc]simplify: iters left: 4 (46 enodes) 1540202045.045 * * [misc]simplify: iters left: 3 (94 enodes) 1540202045.082 * * [misc]simplify: iters left: 2 (181 enodes) 1540202045.130 * * [misc]simplify: iters left: 1 (323 enodes) 1540202045.313 * [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)))) 1540202045.313 * [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)))))) 1540202045.313 * * * * [misc]progress: [ 645 / 6878 ] simplifiying candidate # 1540202045.314 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202045.314 * * [misc]simplify: iters left: 6 (16 enodes) 1540202045.320 * * [misc]simplify: iters left: 5 (28 enodes) 1540202045.330 * * [misc]simplify: iters left: 4 (52 enodes) 1540202045.349 * * [misc]simplify: iters left: 3 (99 enodes) 1540202045.386 * * [misc]simplify: iters left: 2 (292 enodes) 1540202045.613 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202045.613 * [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))))))) 1540202045.614 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202045.614 * * [misc]simplify: iters left: 6 (18 enodes) 1540202045.618 * * [misc]simplify: iters left: 5 (27 enodes) 1540202045.622 * * [misc]simplify: iters left: 4 (46 enodes) 1540202045.630 * * [misc]simplify: iters left: 3 (94 enodes) 1540202045.654 * * [misc]simplify: iters left: 2 (181 enodes) 1540202045.735 * * [misc]simplify: iters left: 1 (323 enodes) 1540202045.873 * [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)))) 1540202045.873 * [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)))))) 1540202045.873 * * * * [misc]progress: [ 646 / 6878 ] simplifiying candidate # 1540202045.873 * [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))))))) 1540202045.873 * * [misc]simplify: iters left: 6 (20 enodes) 1540202045.877 * * [misc]simplify: iters left: 5 (35 enodes) 1540202045.882 * * [misc]simplify: iters left: 4 (69 enodes) 1540202045.895 * * [misc]simplify: iters left: 3 (152 enodes) 1540202045.956 * * [misc]simplify: iters left: 2 (498 enodes) 1540202046.626 * [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)))))) 1540202046.626 * [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)))))))) 1540202046.626 * [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)))))) 1540202046.627 * * [misc]simplify: iters left: 6 (19 enodes) 1540202046.629 * * [misc]simplify: iters left: 5 (28 enodes) 1540202046.633 * * [misc]simplify: iters left: 4 (47 enodes) 1540202046.642 * * [misc]simplify: iters left: 3 (95 enodes) 1540202046.674 * * [misc]simplify: iters left: 2 (182 enodes) 1540202046.738 * * [misc]simplify: iters left: 1 (317 enodes) 1540202046.901 * [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)))))) 1540202046.901 * [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)))))))) 1540202046.901 * * * * [misc]progress: [ 647 / 6878 ] simplifiying candidate # 1540202046.902 * [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)))))) 1540202046.902 * * [misc]simplify: iters left: 6 (19 enodes) 1540202046.905 * * [misc]simplify: iters left: 5 (32 enodes) 1540202046.910 * * [misc]simplify: iters left: 4 (59 enodes) 1540202046.920 * * [misc]simplify: iters left: 3 (106 enodes) 1540202046.948 * * [misc]simplify: iters left: 2 (323 enodes) 1540202047.252 * [exit]simplify: Simplified to (* (sqrt PI) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540202047.252 * [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)))))))) 1540202047.252 * [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)))))) 1540202047.252 * * [misc]simplify: iters left: 6 (19 enodes) 1540202047.258 * * [misc]simplify: iters left: 5 (28 enodes) 1540202047.267 * * [misc]simplify: iters left: 4 (47 enodes) 1540202047.284 * * [misc]simplify: iters left: 3 (95 enodes) 1540202047.320 * * [misc]simplify: iters left: 2 (182 enodes) 1540202047.374 * * [misc]simplify: iters left: 1 (317 enodes) 1540202047.522 * [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)))))) 1540202047.522 * [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)))))))) 1540202047.522 * * * * [misc]progress: [ 648 / 6878 ] simplifiying candidate # 1540202047.522 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) 1)) 1540202047.522 * * [misc]simplify: iters left: 6 (14 enodes) 1540202047.525 * * [misc]simplify: iters left: 5 (25 enodes) 1540202047.529 * * [misc]simplify: iters left: 4 (36 enodes) 1540202047.536 * * [misc]simplify: iters left: 3 (46 enodes) 1540202047.548 * * [misc]simplify: iters left: 2 (82 enodes) 1540202047.566 * * [misc]simplify: iters left: 1 (124 enodes) 1540202047.601 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202047.601 * [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))))))) 1540202047.601 * [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))))) 1540202047.601 * * [misc]simplify: iters left: 6 (18 enodes) 1540202047.603 * * [misc]simplify: iters left: 5 (27 enodes) 1540202047.607 * * [misc]simplify: iters left: 4 (46 enodes) 1540202047.615 * * [misc]simplify: iters left: 3 (94 enodes) 1540202047.638 * * [misc]simplify: iters left: 2 (181 enodes) 1540202047.699 * * [misc]simplify: iters left: 1 (323 enodes) 1540202047.848 * [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)))) 1540202047.848 * [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)))))) 1540202047.848 * * * * [misc]progress: [ 649 / 6878 ] simplifiying candidate # 1540202047.848 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202047.848 * * [misc]simplify: iters left: 6 (16 enodes) 1540202047.854 * * [misc]simplify: iters left: 5 (28 enodes) 1540202047.865 * * [misc]simplify: iters left: 4 (52 enodes) 1540202047.884 * * [misc]simplify: iters left: 3 (129 enodes) 1540202047.929 * * [misc]simplify: iters left: 2 (495 enodes) 1540202048.529 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202048.530 * [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))))))) 1540202048.530 * [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))))) 1540202048.530 * * [misc]simplify: iters left: 6 (19 enodes) 1540202048.536 * * [misc]simplify: iters left: 5 (28 enodes) 1540202048.540 * * [misc]simplify: iters left: 4 (47 enodes) 1540202048.548 * * [misc]simplify: iters left: 3 (95 enodes) 1540202048.566 * * [misc]simplify: iters left: 2 (182 enodes) 1540202048.651 * * [misc]simplify: iters left: 1 (317 enodes) 1540202048.772 * [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)))))) 1540202048.773 * [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)))))))) 1540202048.773 * * * * [misc]progress: [ 650 / 6878 ] simplifiying candidate # 1540202048.773 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202048.773 * * [misc]simplify: iters left: 6 (16 enodes) 1540202048.776 * * [misc]simplify: iters left: 5 (28 enodes) 1540202048.782 * * [misc]simplify: iters left: 4 (52 enodes) 1540202048.799 * * [misc]simplify: iters left: 3 (129 enodes) 1540202048.839 * * [misc]simplify: iters left: 2 (495 enodes) 1540202049.564 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202049.564 * [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))))))) 1540202049.564 * [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))))) 1540202049.564 * * [misc]simplify: iters left: 6 (19 enodes) 1540202049.570 * * [misc]simplify: iters left: 5 (28 enodes) 1540202049.579 * * [misc]simplify: iters left: 4 (47 enodes) 1540202049.593 * * [misc]simplify: iters left: 3 (95 enodes) 1540202049.615 * * [misc]simplify: iters left: 2 (182 enodes) 1540202049.690 * * [misc]simplify: iters left: 1 (317 enodes) 1540202049.840 * [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)))))) 1540202049.840 * [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)))))))) 1540202049.840 * * * * [misc]progress: [ 651 / 6878 ] simplifiying candidate # 1540202049.840 * [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))))))) 1540202049.841 * * [misc]simplify: iters left: 6 (20 enodes) 1540202049.848 * * [misc]simplify: iters left: 5 (35 enodes) 1540202049.860 * * [misc]simplify: iters left: 4 (68 enodes) 1540202049.886 * * [misc]simplify: iters left: 3 (174 enodes) 1540202049.958 * [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)))))) 1540202049.958 * [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)))))))) 1540202049.958 * [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)))))) 1540202049.958 * * [misc]simplify: iters left: 6 (20 enodes) 1540202049.961 * * [misc]simplify: iters left: 5 (29 enodes) 1540202049.966 * * [misc]simplify: iters left: 4 (48 enodes) 1540202049.976 * * [misc]simplify: iters left: 3 (96 enodes) 1540202050.012 * * [misc]simplify: iters left: 2 (183 enodes) 1540202050.069 * * [misc]simplify: iters left: 1 (321 enodes) 1540202050.200 * [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)))))) 1540202050.200 * [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)))))))) 1540202050.200 * * * * [misc]progress: [ 652 / 6878 ] simplifiying candidate # 1540202050.201 * [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)))))) 1540202050.201 * * [misc]simplify: iters left: 6 (19 enodes) 1540202050.207 * * [misc]simplify: iters left: 5 (32 enodes) 1540202050.218 * * [misc]simplify: iters left: 4 (59 enodes) 1540202050.235 * * [misc]simplify: iters left: 3 (96 enodes) 1540202050.270 * * [misc]simplify: iters left: 2 (261 enodes) 1540202050.486 * [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))))) 1540202050.486 * [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)))))))) 1540202050.487 * [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)))))) 1540202050.487 * * [misc]simplify: iters left: 6 (20 enodes) 1540202050.493 * * [misc]simplify: iters left: 5 (29 enodes) 1540202050.502 * * [misc]simplify: iters left: 4 (48 enodes) 1540202050.517 * * [misc]simplify: iters left: 3 (96 enodes) 1540202050.555 * * [misc]simplify: iters left: 2 (183 enodes) 1540202050.633 * * [misc]simplify: iters left: 1 (321 enodes) 1540202050.766 * [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)))))) 1540202050.766 * [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)))))))) 1540202050.766 * * * * [misc]progress: [ 653 / 6878 ] simplifiying candidate # 1540202050.767 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202050.767 * * [misc]simplify: iters left: 6 (14 enodes) 1540202050.771 * * [misc]simplify: iters left: 5 (25 enodes) 1540202050.780 * * [misc]simplify: iters left: 4 (50 enodes) 1540202050.794 * * [misc]simplify: iters left: 3 (68 enodes) 1540202050.804 * * [misc]simplify: iters left: 2 (138 enodes) 1540202050.858 * * [misc]simplify: iters left: 1 (238 enodes) 1540202050.949 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202050.949 * [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))))))) 1540202050.950 * [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))))) 1540202050.950 * * [misc]simplify: iters left: 6 (19 enodes) 1540202050.953 * * [misc]simplify: iters left: 5 (28 enodes) 1540202050.957 * * [misc]simplify: iters left: 4 (47 enodes) 1540202050.966 * * [misc]simplify: iters left: 3 (95 enodes) 1540202050.987 * * [misc]simplify: iters left: 2 (182 enodes) 1540202051.051 * * [misc]simplify: iters left: 1 (317 enodes) 1540202051.168 * [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)))))) 1540202051.168 * [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)))))))) 1540202051.169 * * * * [misc]progress: [ 654 / 6878 ] simplifiying candidate # 1540202051.169 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540202051.169 * * [misc]simplify: iters left: 6 (15 enodes) 1540202051.172 * * [misc]simplify: iters left: 5 (27 enodes) 1540202051.177 * * [misc]simplify: iters left: 4 (49 enodes) 1540202051.187 * * [misc]simplify: iters left: 3 (82 enodes) 1540202051.227 * * [misc]simplify: iters left: 2 (216 enodes) 1540202051.390 * * [misc]simplify: iters left: 1 (443 enodes) 1540202051.644 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202051.644 * [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))))))) 1540202051.645 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202051.645 * * [misc]simplify: iters left: 6 (18 enodes) 1540202051.651 * * [misc]simplify: iters left: 5 (27 enodes) 1540202051.659 * * [misc]simplify: iters left: 4 (46 enodes) 1540202051.673 * * [misc]simplify: iters left: 3 (94 enodes) 1540202051.691 * * [misc]simplify: iters left: 2 (181 enodes) 1540202051.745 * * [misc]simplify: iters left: 1 (323 enodes) 1540202051.889 * [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)))) 1540202051.890 * [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)))))) 1540202051.890 * * * * [misc]progress: [ 655 / 6878 ] simplifiying candidate # 1540202051.890 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540202051.890 * * [misc]simplify: iters left: 6 (15 enodes) 1540202051.896 * * [misc]simplify: iters left: 5 (27 enodes) 1540202051.906 * * [misc]simplify: iters left: 4 (49 enodes) 1540202051.918 * * [misc]simplify: iters left: 3 (82 enodes) 1540202051.937 * * [misc]simplify: iters left: 2 (216 enodes) 1540202052.085 * * [misc]simplify: iters left: 1 (443 enodes) 1540202052.418 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202052.418 * [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))))))) 1540202052.418 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202052.419 * * [misc]simplify: iters left: 6 (18 enodes) 1540202052.424 * * [misc]simplify: iters left: 5 (27 enodes) 1540202052.433 * * [misc]simplify: iters left: 4 (46 enodes) 1540202052.449 * * [misc]simplify: iters left: 3 (94 enodes) 1540202052.485 * * [misc]simplify: iters left: 2 (181 enodes) 1540202052.571 * * [misc]simplify: iters left: 1 (323 enodes) 1540202052.745 * [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)))) 1540202052.745 * [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)))))) 1540202052.745 * * * * [misc]progress: [ 656 / 6878 ] simplifiying candidate # 1540202052.745 * [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))))))) 1540202052.746 * * [misc]simplify: iters left: 6 (19 enodes) 1540202052.752 * * [misc]simplify: iters left: 5 (34 enodes) 1540202052.764 * * [misc]simplify: iters left: 4 (65 enodes) 1540202052.788 * * [misc]simplify: iters left: 3 (125 enodes) 1540202052.860 * * [misc]simplify: iters left: 2 (398 enodes) 1540202053.463 * [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))))) 1540202053.463 * [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)))))))) 1540202053.463 * [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)))))) 1540202053.464 * * [misc]simplify: iters left: 6 (19 enodes) 1540202053.469 * * [misc]simplify: iters left: 5 (28 enodes) 1540202053.478 * * [misc]simplify: iters left: 4 (47 enodes) 1540202053.493 * * [misc]simplify: iters left: 3 (95 enodes) 1540202053.530 * * [misc]simplify: iters left: 2 (182 enodes) 1540202053.578 * * [misc]simplify: iters left: 1 (317 enodes) 1540202053.753 * [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)))))) 1540202053.753 * [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)))))))) 1540202053.754 * * * * [misc]progress: [ 657 / 6878 ] simplifiying candidate # 1540202053.754 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202053.754 * * [misc]simplify: iters left: 6 (18 enodes) 1540202053.760 * * [misc]simplify: iters left: 5 (31 enodes) 1540202053.771 * * [misc]simplify: iters left: 4 (56 enodes) 1540202053.789 * * [misc]simplify: iters left: 3 (91 enodes) 1540202053.833 * * [misc]simplify: iters left: 2 (266 enodes) 1540202054.124 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202054.124 * [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)))))))) 1540202054.124 * [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)))))) 1540202054.124 * * [misc]simplify: iters left: 6 (19 enodes) 1540202054.127 * * [misc]simplify: iters left: 5 (28 enodes) 1540202054.131 * * [misc]simplify: iters left: 4 (47 enodes) 1540202054.139 * * [misc]simplify: iters left: 3 (95 enodes) 1540202054.166 * * [misc]simplify: iters left: 2 (182 enodes) 1540202054.252 * * [misc]simplify: iters left: 1 (317 enodes) 1540202054.381 * [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)))))) 1540202054.381 * [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)))))))) 1540202054.381 * * * * [misc]progress: [ 658 / 6878 ] simplifiying candidate # 1540202054.381 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 1)) 1540202054.382 * * [misc]simplify: iters left: 6 (13 enodes) 1540202054.383 * * [misc]simplify: iters left: 5 (22 enodes) 1540202054.387 * * [misc]simplify: iters left: 4 (39 enodes) 1540202054.393 * * [misc]simplify: iters left: 3 (51 enodes) 1540202054.399 * * [misc]simplify: iters left: 2 (83 enodes) 1540202054.418 * * [misc]simplify: iters left: 1 (120 enodes) 1540202054.455 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1540202054.455 * [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))))))) 1540202054.455 * [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))))) 1540202054.455 * * [misc]simplify: iters left: 6 (18 enodes) 1540202054.457 * * [misc]simplify: iters left: 5 (27 enodes) 1540202054.461 * * [misc]simplify: iters left: 4 (46 enodes) 1540202054.468 * * [misc]simplify: iters left: 3 (94 enodes) 1540202054.486 * * [misc]simplify: iters left: 2 (181 enodes) 1540202054.539 * * [misc]simplify: iters left: 1 (323 enodes) 1540202054.694 * [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)))) 1540202054.694 * [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)))))) 1540202054.694 * * * * [misc]progress: [ 659 / 6878 ] simplifiying candidate # 1540202054.695 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1) 1540202054.695 * * [misc]simplify: iters left: 6 (12 enodes) 1540202054.699 * * [misc]simplify: iters left: 5 (21 enodes) 1540202054.707 * * [misc]simplify: iters left: 4 (38 enodes) 1540202054.720 * * [misc]simplify: iters left: 3 (54 enodes) 1540202054.737 * * [misc]simplify: iters left: 2 (91 enodes) 1540202054.770 * * [misc]simplify: iters left: 1 (129 enodes) 1540202054.795 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202054.795 * [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))))))) 1540202054.795 * [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))))) 1540202054.795 * * [misc]simplify: iters left: 6 (18 enodes) 1540202054.798 * * [misc]simplify: iters left: 5 (27 enodes) 1540202054.802 * * [misc]simplify: iters left: 4 (46 enodes) 1540202054.815 * * [misc]simplify: iters left: 3 (94 enodes) 1540202054.844 * * [misc]simplify: iters left: 2 (181 enodes) 1540202054.892 * * [misc]simplify: iters left: 1 (323 enodes) 1540202055.068 * [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)))) 1540202055.068 * [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)))))) 1540202055.069 * * * * [misc]progress: [ 660 / 6878 ] simplifiying candidate # 1540202055.069 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (sqrt (sqrt k))) 1540202055.069 * * [misc]simplify: iters left: 6 (12 enodes) 1540202055.074 * * [misc]simplify: iters left: 5 (21 enodes) 1540202055.081 * * [misc]simplify: iters left: 4 (39 enodes) 1540202055.094 * * [misc]simplify: iters left: 3 (82 enodes) 1540202055.115 * * [misc]simplify: iters left: 2 (262 enodes) 1540202055.261 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1540202055.262 * [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))))))) 1540202055.262 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202055.262 * * [misc]simplify: iters left: 6 (19 enodes) 1540202055.265 * * [misc]simplify: iters left: 5 (30 enodes) 1540202055.270 * * [misc]simplify: iters left: 4 (47 enodes) 1540202055.278 * * [misc]simplify: iters left: 3 (99 enodes) 1540202055.310 * * [misc]simplify: iters left: 2 (207 enodes) 1540202055.387 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202055.387 * [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))))))) 1540202055.387 * * * * [misc]progress: [ 661 / 6878 ] simplifiying candidate # 1540202055.387 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202055.387 * * [misc]simplify: iters left: 6 (15 enodes) 1540202055.396 * * [misc]simplify: iters left: 5 (27 enodes) 1540202055.406 * * [misc]simplify: iters left: 4 (51 enodes) 1540202055.421 * * [misc]simplify: iters left: 3 (90 enodes) 1540202055.440 * * [misc]simplify: iters left: 2 (253 enodes) 1540202055.640 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202055.640 * [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))))) 1540202055.641 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540202055.641 * * [misc]simplify: iters left: 6 (17 enodes) 1540202055.643 * * [misc]simplify: iters left: 5 (24 enodes) 1540202055.647 * * [misc]simplify: iters left: 4 (35 enodes) 1540202055.652 * * [misc]simplify: iters left: 3 (50 enodes) 1540202055.666 * * [misc]simplify: iters left: 2 (67 enodes) 1540202055.685 * * [misc]simplify: iters left: 1 (84 enodes) 1540202055.698 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540202055.698 * [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))))))) 1540202055.698 * * * * [misc]progress: [ 662 / 6878 ] simplifiying candidate # 1540202055.699 * [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))))))) 1540202055.699 * * [misc]simplify: iters left: 6 (21 enodes) 1540202055.702 * * [misc]simplify: iters left: 5 (32 enodes) 1540202055.707 * * [misc]simplify: iters left: 4 (53 enodes) 1540202055.715 * * [misc]simplify: iters left: 3 (88 enodes) 1540202055.729 * * [misc]simplify: iters left: 2 (135 enodes) 1540202055.760 * * [misc]simplify: iters left: 1 (201 enodes) 1540202055.817 * [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))))))) 1540202055.817 * [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)))))))) 1540202055.817 * [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)))))) 1540202055.818 * * [misc]simplify: iters left: 6 (20 enodes) 1540202055.820 * * [misc]simplify: iters left: 5 (27 enodes) 1540202055.824 * * [misc]simplify: iters left: 4 (38 enodes) 1540202055.829 * * [misc]simplify: iters left: 3 (53 enodes) 1540202055.837 * * [misc]simplify: iters left: 2 (70 enodes) 1540202055.847 * * [misc]simplify: iters left: 1 (87 enodes) 1540202055.862 * [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)))))) 1540202055.863 * [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)))))))) 1540202055.863 * * * * [misc]progress: [ 663 / 6878 ] simplifiying candidate # 1540202055.863 * [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)))))) 1540202055.863 * * [misc]simplify: iters left: 6 (20 enodes) 1540202055.869 * * [misc]simplify: iters left: 5 (29 enodes) 1540202055.878 * * [misc]simplify: iters left: 4 (42 enodes) 1540202055.886 * * [misc]simplify: iters left: 3 (57 enodes) 1540202055.894 * * [misc]simplify: iters left: 2 (74 enodes) 1540202055.905 * * [misc]simplify: iters left: 1 (91 enodes) 1540202055.918 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202055.918 * [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)))))))) 1540202055.918 * [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)))))) 1540202055.918 * * [misc]simplify: iters left: 6 (20 enodes) 1540202055.921 * * [misc]simplify: iters left: 5 (27 enodes) 1540202055.925 * * [misc]simplify: iters left: 4 (38 enodes) 1540202055.931 * * [misc]simplify: iters left: 3 (53 enodes) 1540202055.938 * * [misc]simplify: iters left: 2 (70 enodes) 1540202055.949 * * [misc]simplify: iters left: 1 (87 enodes) 1540202055.961 * [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)))))) 1540202055.961 * [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)))))))) 1540202055.961 * * * * [misc]progress: [ 664 / 6878 ] simplifiying candidate # 1540202055.961 * [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))) 1540202055.961 * * [misc]simplify: iters left: 6 (19 enodes) 1540202055.965 * * [misc]simplify: iters left: 5 (31 enodes) 1540202055.970 * * [misc]simplify: iters left: 4 (59 enodes) 1540202055.992 * * [misc]simplify: iters left: 3 (161 enodes) 1540202056.073 * * [misc]simplify: iters left: 2 (416 enodes) 1540202056.364 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202056.364 * [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))))))) 1540202056.365 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202056.365 * * [misc]simplify: iters left: 6 (18 enodes) 1540202056.367 * * [misc]simplify: iters left: 5 (26 enodes) 1540202056.371 * * [misc]simplify: iters left: 4 (44 enodes) 1540202056.378 * * [misc]simplify: iters left: 3 (92 enodes) 1540202056.410 * * [misc]simplify: iters left: 2 (179 enodes) 1540202056.451 * * [misc]simplify: iters left: 1 (315 enodes) 1540202056.618 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202056.618 * [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))))) 1540202056.618 * * * * [misc]progress: [ 665 / 6878 ] simplifiying candidate # 1540202056.618 * [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))) 1540202056.619 * * [misc]simplify: iters left: 6 (19 enodes) 1540202056.628 * * [misc]simplify: iters left: 5 (31 enodes) 1540202056.638 * * [misc]simplify: iters left: 4 (59 enodes) 1540202056.654 * * [misc]simplify: iters left: 3 (161 enodes) 1540202056.728 * * [misc]simplify: iters left: 2 (416 enodes) 1540202057.057 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202057.058 * [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))))))) 1540202057.058 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202057.058 * * [misc]simplify: iters left: 6 (18 enodes) 1540202057.063 * * [misc]simplify: iters left: 5 (26 enodes) 1540202057.070 * * [misc]simplify: iters left: 4 (44 enodes) 1540202057.084 * * [misc]simplify: iters left: 3 (92 enodes) 1540202057.120 * * [misc]simplify: iters left: 2 (179 enodes) 1540202057.179 * * [misc]simplify: iters left: 1 (315 enodes) 1540202057.343 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202057.343 * [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))))) 1540202057.343 * * * * [misc]progress: [ 666 / 6878 ] simplifiying candidate # 1540202057.344 * [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))))))) 1540202057.344 * * [misc]simplify: iters left: 6 (23 enodes) 1540202057.347 * * [misc]simplify: iters left: 5 (40 enodes) 1540202057.354 * * [misc]simplify: iters left: 4 (91 enodes) 1540202057.373 * * [misc]simplify: iters left: 3 (263 enodes) 1540202057.495 * [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)))))) 1540202057.495 * [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)))))))) 1540202057.495 * [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)))))) 1540202057.495 * * [misc]simplify: iters left: 6 (21 enodes) 1540202057.498 * * [misc]simplify: iters left: 5 (30 enodes) 1540202057.502 * * [misc]simplify: iters left: 4 (49 enodes) 1540202057.512 * * [misc]simplify: iters left: 3 (97 enodes) 1540202057.552 * * [misc]simplify: iters left: 2 (184 enodes) 1540202057.635 * * [misc]simplify: iters left: 1 (320 enodes) 1540202057.818 * [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)))))) 1540202057.818 * [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)))))))) 1540202057.818 * * * * [misc]progress: [ 667 / 6878 ] simplifiying candidate # 1540202057.819 * [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)))))) 1540202057.819 * * [misc]simplify: iters left: 6 (22 enodes) 1540202057.826 * * [misc]simplify: iters left: 5 (35 enodes) 1540202057.836 * * [misc]simplify: iters left: 4 (66 enodes) 1540202057.859 * * [misc]simplify: iters left: 3 (168 enodes) 1540202057.932 * * [misc]simplify: iters left: 2 (418 enodes) 1540202058.262 * [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)))))) 1540202058.262 * [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)))))))) 1540202058.263 * [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)))))) 1540202058.263 * * [misc]simplify: iters left: 6 (21 enodes) 1540202058.273 * * [misc]simplify: iters left: 5 (30 enodes) 1540202058.283 * * [misc]simplify: iters left: 4 (49 enodes) 1540202058.299 * * [misc]simplify: iters left: 3 (97 enodes) 1540202058.336 * * [misc]simplify: iters left: 2 (184 enodes) 1540202058.416 * * [misc]simplify: iters left: 1 (320 enodes) 1540202058.535 * [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)))))) 1540202058.535 * [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)))))))) 1540202058.535 * * * * [misc]progress: [ 668 / 6878 ] simplifiying candidate # 1540202058.535 * [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)) 1540202058.535 * * [misc]simplify: iters left: 6 (18 enodes) 1540202058.538 * * [misc]simplify: iters left: 5 (31 enodes) 1540202058.544 * * [misc]simplify: iters left: 4 (59 enodes) 1540202058.553 * * [misc]simplify: iters left: 3 (114 enodes) 1540202058.583 * * [misc]simplify: iters left: 2 (310 enodes) 1540202058.835 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202058.835 * [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))))))) 1540202058.835 * [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))))) 1540202058.836 * * [misc]simplify: iters left: 6 (20 enodes) 1540202058.839 * * [misc]simplify: iters left: 5 (29 enodes) 1540202058.843 * * [misc]simplify: iters left: 4 (48 enodes) 1540202058.851 * * [misc]simplify: iters left: 3 (96 enodes) 1540202058.871 * * [misc]simplify: iters left: 2 (183 enodes) 1540202058.931 * * [misc]simplify: iters left: 1 (325 enodes) 1540202059.080 * [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))))) 1540202059.080 * [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))))))) 1540202059.080 * * * * [misc]progress: [ 669 / 6878 ] simplifiying candidate # 1540202059.080 * [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))) 1540202059.080 * * [misc]simplify: iters left: 6 (16 enodes) 1540202059.083 * * [misc]simplify: iters left: 5 (26 enodes) 1540202059.087 * * [misc]simplify: iters left: 4 (43 enodes) 1540202059.095 * * [misc]simplify: iters left: 3 (88 enodes) 1540202059.115 * * [misc]simplify: iters left: 2 (153 enodes) 1540202059.155 * * [misc]simplify: iters left: 1 (250 enodes) 1540202059.257 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540202059.257 * [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))))))) 1540202059.258 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202059.258 * * [misc]simplify: iters left: 6 (16 enodes) 1540202059.263 * * [misc]simplify: iters left: 5 (24 enodes) 1540202059.270 * * [misc]simplify: iters left: 4 (41 enodes) 1540202059.284 * * [misc]simplify: iters left: 3 (86 enodes) 1540202059.307 * * [misc]simplify: iters left: 2 (151 enodes) 1540202059.354 * * [misc]simplify: iters left: 1 (234 enodes) 1540202059.447 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202059.447 * [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)))))) 1540202059.447 * * * * [misc]progress: [ 670 / 6878 ] simplifiying candidate # 1540202059.447 * [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))) 1540202059.448 * * [misc]simplify: iters left: 6 (16 enodes) 1540202059.453 * * [misc]simplify: iters left: 5 (26 enodes) 1540202059.461 * * [misc]simplify: iters left: 4 (43 enodes) 1540202059.476 * * [misc]simplify: iters left: 3 (88 enodes) 1540202059.507 * * [misc]simplify: iters left: 2 (153 enodes) 1540202059.576 * * [misc]simplify: iters left: 1 (250 enodes) 1540202059.669 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540202059.669 * [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))))))) 1540202059.669 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202059.670 * * [misc]simplify: iters left: 6 (16 enodes) 1540202059.675 * * [misc]simplify: iters left: 5 (24 enodes) 1540202059.678 * * [misc]simplify: iters left: 4 (41 enodes) 1540202059.685 * * [misc]simplify: iters left: 3 (86 enodes) 1540202059.706 * * [misc]simplify: iters left: 2 (151 enodes) 1540202059.774 * * [misc]simplify: iters left: 1 (234 enodes) 1540202059.893 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202059.893 * [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)))))) 1540202059.893 * * * * [misc]progress: [ 671 / 6878 ] simplifiying candidate # 1540202059.893 * [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))))))) 1540202059.893 * * [misc]simplify: iters left: 6 (20 enodes) 1540202059.900 * * [misc]simplify: iters left: 5 (33 enodes) 1540202059.911 * * [misc]simplify: iters left: 4 (59 enodes) 1540202059.931 * * [misc]simplify: iters left: 3 (135 enodes) 1540202059.997 * * [misc]simplify: iters left: 2 (300 enodes) 1540202060.159 * [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)))))) 1540202060.160 * [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)))))))) 1540202060.162 * [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)))))) 1540202060.162 * * [misc]simplify: iters left: 6 (19 enodes) 1540202060.167 * * [misc]simplify: iters left: 5 (28 enodes) 1540202060.171 * * [misc]simplify: iters left: 4 (46 enodes) 1540202060.178 * * [misc]simplify: iters left: 3 (91 enodes) 1540202060.195 * * [misc]simplify: iters left: 2 (156 enodes) 1540202060.243 * * [misc]simplify: iters left: 1 (236 enodes) 1540202060.343 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202060.343 * [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)))))))) 1540202060.343 * * * * [misc]progress: [ 672 / 6878 ] simplifiying candidate # 1540202060.343 * [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)))))) 1540202060.343 * * [misc]simplify: iters left: 6 (19 enodes) 1540202060.349 * * [misc]simplify: iters left: 5 (30 enodes) 1540202060.358 * * [misc]simplify: iters left: 4 (50 enodes) 1540202060.375 * * [misc]simplify: iters left: 3 (95 enodes) 1540202060.409 * * [misc]simplify: iters left: 2 (160 enodes) 1540202060.476 * * [misc]simplify: iters left: 1 (256 enodes) 1540202060.565 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202060.565 * [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)))))))) 1540202060.565 * [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)))))) 1540202060.565 * * [misc]simplify: iters left: 6 (19 enodes) 1540202060.569 * * [misc]simplify: iters left: 5 (28 enodes) 1540202060.573 * * [misc]simplify: iters left: 4 (46 enodes) 1540202060.580 * * [misc]simplify: iters left: 3 (91 enodes) 1540202060.596 * * [misc]simplify: iters left: 2 (156 enodes) 1540202060.630 * * [misc]simplify: iters left: 1 (236 enodes) 1540202060.725 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202060.725 * [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)))))))) 1540202060.725 * * * * [misc]progress: [ 673 / 6878 ] simplifiying candidate # 1540202060.725 * [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)) 1540202060.725 * * [misc]simplify: iters left: 6 (15 enodes) 1540202060.730 * * [misc]simplify: iters left: 5 (25 enodes) 1540202060.738 * * [misc]simplify: iters left: 4 (42 enodes) 1540202060.754 * * [misc]simplify: iters left: 3 (71 enodes) 1540202060.785 * * [misc]simplify: iters left: 2 (138 enodes) 1540202060.855 * * [misc]simplify: iters left: 1 (249 enodes) 1540202061.007 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540202061.007 * [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))))))) 1540202061.007 * [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))))) 1540202061.008 * * [misc]simplify: iters left: 6 (18 enodes) 1540202061.013 * * [misc]simplify: iters left: 5 (27 enodes) 1540202061.022 * * [misc]simplify: iters left: 4 (45 enodes) 1540202061.036 * * [misc]simplify: iters left: 3 (90 enodes) 1540202061.070 * * [misc]simplify: iters left: 2 (155 enodes) 1540202061.126 * * [misc]simplify: iters left: 1 (239 enodes) 1540202061.231 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202061.231 * [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))))))) 1540202061.231 * * * * [misc]progress: [ 674 / 6878 ] simplifiying candidate # 1540202061.231 * [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))) 1540202061.231 * * [misc]simplify: iters left: 6 (18 enodes) 1540202061.237 * * [misc]simplify: iters left: 5 (28 enodes) 1540202061.242 * * [misc]simplify: iters left: 4 (46 enodes) 1540202061.249 * * [misc]simplify: iters left: 3 (94 enodes) 1540202061.268 * * [misc]simplify: iters left: 2 (181 enodes) 1540202061.309 * * [misc]simplify: iters left: 1 (326 enodes) 1540202061.472 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202061.472 * [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))))))) 1540202061.473 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202061.473 * * [misc]simplify: iters left: 6 (18 enodes) 1540202061.475 * * [misc]simplify: iters left: 5 (26 enodes) 1540202061.479 * * [misc]simplify: iters left: 4 (44 enodes) 1540202061.488 * * [misc]simplify: iters left: 3 (92 enodes) 1540202061.505 * * [misc]simplify: iters left: 2 (179 enodes) 1540202061.547 * * [misc]simplify: iters left: 1 (315 enodes) 1540202061.690 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202061.690 * [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))))) 1540202061.690 * * * * [misc]progress: [ 675 / 6878 ] simplifiying candidate # 1540202061.690 * [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))) 1540202061.691 * * [misc]simplify: iters left: 6 (18 enodes) 1540202061.694 * * [misc]simplify: iters left: 5 (28 enodes) 1540202061.699 * * [misc]simplify: iters left: 4 (46 enodes) 1540202061.707 * * [misc]simplify: iters left: 3 (94 enodes) 1540202061.729 * * [misc]simplify: iters left: 2 (181 enodes) 1540202061.771 * * [misc]simplify: iters left: 1 (326 enodes) 1540202061.945 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202061.945 * [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))))))) 1540202061.945 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202061.946 * * [misc]simplify: iters left: 6 (18 enodes) 1540202061.951 * * [misc]simplify: iters left: 5 (26 enodes) 1540202061.959 * * [misc]simplify: iters left: 4 (44 enodes) 1540202061.968 * * [misc]simplify: iters left: 3 (92 enodes) 1540202061.986 * * [misc]simplify: iters left: 2 (179 enodes) 1540202062.043 * * [misc]simplify: iters left: 1 (315 enodes) 1540202062.193 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202062.193 * [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))))) 1540202062.194 * * * * [misc]progress: [ 676 / 6878 ] simplifiying candidate # 1540202062.194 * [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))))))) 1540202062.194 * * [misc]simplify: iters left: 6 (22 enodes) 1540202062.197 * * [misc]simplify: iters left: 5 (35 enodes) 1540202062.202 * * [misc]simplify: iters left: 4 (62 enodes) 1540202062.212 * * [misc]simplify: iters left: 3 (141 enodes) 1540202062.257 * * [misc]simplify: iters left: 2 (337 enodes) 1540202062.483 * [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)))))) 1540202062.483 * [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)))))))) 1540202062.484 * [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)))))) 1540202062.484 * * [misc]simplify: iters left: 6 (21 enodes) 1540202062.490 * * [misc]simplify: iters left: 5 (30 enodes) 1540202062.498 * * [misc]simplify: iters left: 4 (49 enodes) 1540202062.516 * * [misc]simplify: iters left: 3 (97 enodes) 1540202062.553 * * [misc]simplify: iters left: 2 (184 enodes) 1540202062.602 * * [misc]simplify: iters left: 1 (320 enodes) 1540202062.779 * [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)))))) 1540202062.779 * [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)))))))) 1540202062.779 * * * * [misc]progress: [ 677 / 6878 ] simplifiying candidate # 1540202062.779 * [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)))))) 1540202062.780 * * [misc]simplify: iters left: 6 (21 enodes) 1540202062.786 * * [misc]simplify: iters left: 5 (32 enodes) 1540202062.796 * * [misc]simplify: iters left: 4 (53 enodes) 1540202062.806 * * [misc]simplify: iters left: 3 (101 enodes) 1540202062.826 * * [misc]simplify: iters left: 2 (188 enodes) 1540202062.886 * * [misc]simplify: iters left: 1 (324 enodes) 1540202063.008 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540202063.008 * [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)))))))) 1540202063.009 * [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)))))) 1540202063.009 * * [misc]simplify: iters left: 6 (21 enodes) 1540202063.012 * * [misc]simplify: iters left: 5 (30 enodes) 1540202063.016 * * [misc]simplify: iters left: 4 (49 enodes) 1540202063.024 * * [misc]simplify: iters left: 3 (97 enodes) 1540202063.044 * * [misc]simplify: iters left: 2 (184 enodes) 1540202063.089 * * [misc]simplify: iters left: 1 (320 enodes) 1540202063.263 * [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)))))) 1540202063.263 * [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)))))))) 1540202063.264 * * * * [misc]progress: [ 678 / 6878 ] simplifiying candidate # 1540202063.264 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202063.264 * * [misc]simplify: iters left: 6 (17 enodes) 1540202063.266 * * [misc]simplify: iters left: 5 (28 enodes) 1540202063.271 * * [misc]simplify: iters left: 4 (48 enodes) 1540202063.278 * * [misc]simplify: iters left: 3 (74 enodes) 1540202063.290 * * [misc]simplify: iters left: 2 (131 enodes) 1540202063.345 * * [misc]simplify: iters left: 1 (235 enodes) 1540202063.433 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540202063.433 * [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))))))) 1540202063.433 * [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))))) 1540202063.433 * * [misc]simplify: iters left: 6 (20 enodes) 1540202063.436 * * [misc]simplify: iters left: 5 (29 enodes) 1540202063.440 * * [misc]simplify: iters left: 4 (48 enodes) 1540202063.447 * * [misc]simplify: iters left: 3 (96 enodes) 1540202063.473 * * [misc]simplify: iters left: 2 (183 enodes) 1540202063.553 * * [misc]simplify: iters left: 1 (325 enodes) 1540202063.704 * [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))))) 1540202063.704 * [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))))))) 1540202063.704 * * * * [misc]progress: [ 679 / 6878 ] simplifiying candidate # 1540202063.704 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202063.704 * * [misc]simplify: iters left: 6 (18 enodes) 1540202063.708 * * [misc]simplify: iters left: 5 (30 enodes) 1540202063.712 * * [misc]simplify: iters left: 4 (50 enodes) 1540202063.721 * * [misc]simplify: iters left: 3 (117 enodes) 1540202063.764 * * [misc]simplify: iters left: 2 (262 enodes) 1540202063.914 * * [misc]simplify: iters left: 1 (425 enodes) 1540202064.131 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202064.131 * [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))))))) 1540202064.132 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202064.132 * * [misc]simplify: iters left: 6 (17 enodes) 1540202064.137 * * [misc]simplify: iters left: 5 (25 enodes) 1540202064.147 * * [misc]simplify: iters left: 4 (43 enodes) 1540202064.161 * * [misc]simplify: iters left: 3 (91 enodes) 1540202064.190 * * [misc]simplify: iters left: 2 (178 enodes) 1540202064.254 * * [misc]simplify: iters left: 1 (319 enodes) 1540202064.779 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202064.779 * [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))))))) 1540202064.779 * * * * [misc]progress: [ 680 / 6878 ] simplifiying candidate # 1540202064.779 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202064.779 * * [misc]simplify: iters left: 6 (18 enodes) 1540202064.786 * * [misc]simplify: iters left: 5 (30 enodes) 1540202064.795 * * [misc]simplify: iters left: 4 (50 enodes) 1540202064.816 * * [misc]simplify: iters left: 3 (117 enodes) 1540202064.842 * * [misc]simplify: iters left: 2 (262 enodes) 1540202064.982 * * [misc]simplify: iters left: 1 (425 enodes) 1540202065.167 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202065.167 * [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))))))) 1540202065.168 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202065.168 * * [misc]simplify: iters left: 6 (17 enodes) 1540202065.170 * * [misc]simplify: iters left: 5 (25 enodes) 1540202065.174 * * [misc]simplify: iters left: 4 (43 enodes) 1540202065.180 * * [misc]simplify: iters left: 3 (91 enodes) 1540202065.197 * * [misc]simplify: iters left: 2 (178 enodes) 1540202065.250 * * [misc]simplify: iters left: 1 (319 enodes) 1540202065.397 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202065.397 * [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))))))) 1540202065.398 * * * * [misc]progress: [ 681 / 6878 ] simplifiying candidate # 1540202065.398 * [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))))))) 1540202065.398 * * [misc]simplify: iters left: 6 (22 enodes) 1540202065.406 * * [misc]simplify: iters left: 5 (37 enodes) 1540202065.417 * * [misc]simplify: iters left: 4 (67 enodes) 1540202065.442 * * [misc]simplify: iters left: 3 (178 enodes) 1540202065.543 * * [misc]simplify: iters left: 2 (453 enodes) 1540202065.826 * [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))))) 1540202065.827 * [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)))))))) 1540202065.827 * [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)))))) 1540202065.827 * * [misc]simplify: iters left: 6 (20 enodes) 1540202065.833 * * [misc]simplify: iters left: 5 (29 enodes) 1540202065.837 * * [misc]simplify: iters left: 4 (48 enodes) 1540202065.844 * * [misc]simplify: iters left: 3 (96 enodes) 1540202065.862 * * [misc]simplify: iters left: 2 (183 enodes) 1540202065.909 * * [misc]simplify: iters left: 1 (325 enodes) 1540202066.074 * [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))))) 1540202066.074 * [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))))))) 1540202066.074 * * * * [misc]progress: [ 682 / 6878 ] simplifiying candidate # 1540202066.075 * [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)))))) 1540202066.075 * * [misc]simplify: iters left: 6 (21 enodes) 1540202066.079 * * [misc]simplify: iters left: 5 (34 enodes) 1540202066.084 * * [misc]simplify: iters left: 4 (57 enodes) 1540202066.098 * * [misc]simplify: iters left: 3 (120 enodes) 1540202066.141 * * [misc]simplify: iters left: 2 (263 enodes) 1540202066.284 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202066.284 * [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)))))))) 1540202066.284 * [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)))))) 1540202066.284 * * [misc]simplify: iters left: 6 (20 enodes) 1540202066.287 * * [misc]simplify: iters left: 5 (29 enodes) 1540202066.295 * * [misc]simplify: iters left: 4 (48 enodes) 1540202066.310 * * [misc]simplify: iters left: 3 (96 enodes) 1540202066.333 * * [misc]simplify: iters left: 2 (183 enodes) 1540202066.386 * * [misc]simplify: iters left: 1 (325 enodes) 1540202066.542 * [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))))) 1540202066.542 * [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))))))) 1540202066.542 * * * * [misc]progress: [ 683 / 6878 ] simplifiying candidate # 1540202066.542 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202066.543 * * [misc]simplify: iters left: 6 (16 enodes) 1540202066.549 * * [misc]simplify: iters left: 5 (27 enodes) 1540202066.556 * * [misc]simplify: iters left: 4 (35 enodes) 1540202066.567 * * [misc]simplify: iters left: 3 (57 enodes) 1540202066.585 * * [misc]simplify: iters left: 2 (86 enodes) 1540202066.613 * * [misc]simplify: iters left: 1 (142 enodes) 1540202066.677 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202066.677 * [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))))))) 1540202066.678 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202066.678 * * [misc]simplify: iters left: 6 (19 enodes) 1540202066.683 * * [misc]simplify: iters left: 5 (28 enodes) 1540202066.691 * * [misc]simplify: iters left: 4 (47 enodes) 1540202066.699 * * [misc]simplify: iters left: 3 (95 enodes) 1540202066.726 * * [misc]simplify: iters left: 2 (182 enodes) 1540202066.777 * * [misc]simplify: iters left: 1 (322 enodes) 1540202066.934 * [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)))))) 1540202066.934 * [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)))))))) 1540202066.934 * * * * [misc]progress: [ 684 / 6878 ] simplifiying candidate # 1540202066.935 * [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))) 1540202066.935 * * [misc]simplify: iters left: 6 (18 enodes) 1540202066.941 * * [misc]simplify: iters left: 5 (28 enodes) 1540202066.951 * * [misc]simplify: iters left: 4 (46 enodes) 1540202066.958 * * [misc]simplify: iters left: 3 (94 enodes) 1540202066.978 * * [misc]simplify: iters left: 2 (181 enodes) 1540202067.051 * * [misc]simplify: iters left: 1 (326 enodes) 1540202067.206 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202067.206 * [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))))))) 1540202067.206 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202067.206 * * [misc]simplify: iters left: 6 (18 enodes) 1540202067.209 * * [misc]simplify: iters left: 5 (26 enodes) 1540202067.212 * * [misc]simplify: iters left: 4 (44 enodes) 1540202067.219 * * [misc]simplify: iters left: 3 (92 enodes) 1540202067.238 * * [misc]simplify: iters left: 2 (179 enodes) 1540202067.306 * * [misc]simplify: iters left: 1 (315 enodes) 1540202067.464 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202067.464 * [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))))) 1540202067.464 * * * * [misc]progress: [ 685 / 6878 ] simplifiying candidate # 1540202067.465 * [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))) 1540202067.465 * * [misc]simplify: iters left: 6 (18 enodes) 1540202067.471 * * [misc]simplify: iters left: 5 (28 enodes) 1540202067.480 * * [misc]simplify: iters left: 4 (46 enodes) 1540202067.492 * * [misc]simplify: iters left: 3 (94 enodes) 1540202067.511 * * [misc]simplify: iters left: 2 (181 enodes) 1540202067.562 * * [misc]simplify: iters left: 1 (326 enodes) 1540202067.714 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202067.714 * [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))))))) 1540202067.714 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202067.714 * * [misc]simplify: iters left: 6 (18 enodes) 1540202067.717 * * [misc]simplify: iters left: 5 (26 enodes) 1540202067.720 * * [misc]simplify: iters left: 4 (44 enodes) 1540202067.729 * * [misc]simplify: iters left: 3 (92 enodes) 1540202067.755 * * [misc]simplify: iters left: 2 (179 enodes) 1540202067.805 * * [misc]simplify: iters left: 1 (315 enodes) 1540202067.938 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202067.938 * [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))))) 1540202067.938 * * * * [misc]progress: [ 686 / 6878 ] simplifiying candidate # 1540202067.939 * [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))))))) 1540202067.939 * * [misc]simplify: iters left: 6 (22 enodes) 1540202067.942 * * [misc]simplify: iters left: 5 (35 enodes) 1540202067.947 * * [misc]simplify: iters left: 4 (62 enodes) 1540202067.962 * * [misc]simplify: iters left: 3 (141 enodes) 1540202068.009 * * [misc]simplify: iters left: 2 (337 enodes) 1540202068.180 * [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)))))) 1540202068.180 * [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)))))))) 1540202068.181 * [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)))))) 1540202068.181 * * [misc]simplify: iters left: 6 (21 enodes) 1540202068.184 * * [misc]simplify: iters left: 5 (30 enodes) 1540202068.188 * * [misc]simplify: iters left: 4 (49 enodes) 1540202068.204 * * [misc]simplify: iters left: 3 (97 enodes) 1540202068.233 * * [misc]simplify: iters left: 2 (184 enodes) 1540202068.297 * * [misc]simplify: iters left: 1 (320 enodes) 1540202068.477 * [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)))))) 1540202068.477 * [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)))))))) 1540202068.477 * * * * [misc]progress: [ 687 / 6878 ] simplifiying candidate # 1540202068.478 * [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)))))) 1540202068.478 * * [misc]simplify: iters left: 6 (21 enodes) 1540202068.482 * * [misc]simplify: iters left: 5 (32 enodes) 1540202068.486 * * [misc]simplify: iters left: 4 (53 enodes) 1540202068.494 * * [misc]simplify: iters left: 3 (101 enodes) 1540202068.519 * * [misc]simplify: iters left: 2 (188 enodes) 1540202068.602 * * [misc]simplify: iters left: 1 (324 enodes) 1540202068.771 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540202068.771 * [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)))))))) 1540202068.772 * [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)))))) 1540202068.772 * * [misc]simplify: iters left: 6 (21 enodes) 1540202068.779 * * [misc]simplify: iters left: 5 (30 enodes) 1540202068.788 * * [misc]simplify: iters left: 4 (49 enodes) 1540202068.804 * * [misc]simplify: iters left: 3 (97 enodes) 1540202068.842 * * [misc]simplify: iters left: 2 (184 enodes) 1540202068.887 * * [misc]simplify: iters left: 1 (320 enodes) 1540202069.082 * [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)))))) 1540202069.082 * [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)))))))) 1540202069.083 * * * * [misc]progress: [ 688 / 6878 ] simplifiying candidate # 1540202069.084 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202069.084 * * [misc]simplify: iters left: 6 (17 enodes) 1540202069.089 * * [misc]simplify: iters left: 5 (28 enodes) 1540202069.098 * * [misc]simplify: iters left: 4 (48 enodes) 1540202069.112 * * [misc]simplify: iters left: 3 (74 enodes) 1540202069.134 * * [misc]simplify: iters left: 2 (131 enodes) 1540202069.198 * * [misc]simplify: iters left: 1 (235 enodes) 1540202069.285 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540202069.285 * [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))))))) 1540202069.285 * [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))))) 1540202069.285 * * [misc]simplify: iters left: 6 (20 enodes) 1540202069.293 * * [misc]simplify: iters left: 5 (29 enodes) 1540202069.302 * * [misc]simplify: iters left: 4 (48 enodes) 1540202069.317 * * [misc]simplify: iters left: 3 (96 enodes) 1540202069.354 * * [misc]simplify: iters left: 2 (183 enodes) 1540202069.416 * * [misc]simplify: iters left: 1 (325 enodes) 1540202069.617 * [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))))) 1540202069.617 * [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))))))) 1540202069.617 * * * * [misc]progress: [ 689 / 6878 ] simplifiying candidate # 1540202069.618 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202069.619 * * [misc]simplify: iters left: 6 (17 enodes) 1540202069.626 * * [misc]simplify: iters left: 5 (29 enodes) 1540202069.635 * * [misc]simplify: iters left: 4 (45 enodes) 1540202069.651 * * [misc]simplify: iters left: 3 (97 enodes) 1540202069.688 * * [misc]simplify: iters left: 2 (182 enodes) 1540202069.751 * * [misc]simplify: iters left: 1 (313 enodes) 1540202069.897 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202069.897 * [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))))))) 1540202069.898 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202069.898 * * [misc]simplify: iters left: 6 (17 enodes) 1540202069.903 * * [misc]simplify: iters left: 5 (25 enodes) 1540202069.910 * * [misc]simplify: iters left: 4 (43 enodes) 1540202069.925 * * [misc]simplify: iters left: 3 (91 enodes) 1540202069.960 * * [misc]simplify: iters left: 2 (178 enodes) 1540202070.041 * * [misc]simplify: iters left: 1 (319 enodes) 1540202070.243 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202070.243 * [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))))))) 1540202070.243 * * * * [misc]progress: [ 690 / 6878 ] simplifiying candidate # 1540202070.244 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202070.244 * * [misc]simplify: iters left: 6 (17 enodes) 1540202070.251 * * [misc]simplify: iters left: 5 (29 enodes) 1540202070.259 * * [misc]simplify: iters left: 4 (45 enodes) 1540202070.271 * * [misc]simplify: iters left: 3 (97 enodes) 1540202070.289 * * [misc]simplify: iters left: 2 (182 enodes) 1540202070.366 * * [misc]simplify: iters left: 1 (313 enodes) 1540202070.542 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202070.542 * [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))))))) 1540202070.542 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202070.542 * * [misc]simplify: iters left: 6 (17 enodes) 1540202070.547 * * [misc]simplify: iters left: 5 (25 enodes) 1540202070.555 * * [misc]simplify: iters left: 4 (43 enodes) 1540202070.562 * * [misc]simplify: iters left: 3 (91 enodes) 1540202070.579 * * [misc]simplify: iters left: 2 (178 enodes) 1540202070.655 * * [misc]simplify: iters left: 1 (319 enodes) 1540202070.852 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202070.852 * [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))))))) 1540202070.852 * * * * [misc]progress: [ 691 / 6878 ] simplifiying candidate # 1540202070.853 * [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))))))) 1540202070.853 * * [misc]simplify: iters left: 6 (21 enodes) 1540202070.856 * * [misc]simplify: iters left: 5 (36 enodes) 1540202070.863 * * [misc]simplify: iters left: 4 (61 enodes) 1540202070.884 * * [misc]simplify: iters left: 3 (155 enodes) 1540202070.935 * * [misc]simplify: iters left: 2 (370 enodes) 1540202071.213 * [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)))))) 1540202071.213 * [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)))))))) 1540202071.213 * [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)))))) 1540202071.213 * * [misc]simplify: iters left: 6 (20 enodes) 1540202071.219 * * [misc]simplify: iters left: 5 (29 enodes) 1540202071.228 * * [misc]simplify: iters left: 4 (48 enodes) 1540202071.246 * * [misc]simplify: iters left: 3 (96 enodes) 1540202071.281 * * [misc]simplify: iters left: 2 (183 enodes) 1540202071.337 * * [misc]simplify: iters left: 1 (325 enodes) 1540202071.481 * [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))))) 1540202071.481 * [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))))))) 1540202071.481 * * * * [misc]progress: [ 692 / 6878 ] simplifiying candidate # 1540202071.481 * [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)))))) 1540202071.481 * * [misc]simplify: iters left: 6 (20 enodes) 1540202071.484 * * [misc]simplify: iters left: 5 (33 enodes) 1540202071.489 * * [misc]simplify: iters left: 4 (52 enodes) 1540202071.499 * * [misc]simplify: iters left: 3 (104 enodes) 1540202071.524 * * [misc]simplify: iters left: 2 (189 enodes) 1540202071.612 * * [misc]simplify: iters left: 1 (392 enodes) 1540202071.873 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202071.873 * [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)))))))) 1540202071.874 * [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)))))) 1540202071.874 * * [misc]simplify: iters left: 6 (20 enodes) 1540202071.880 * * [misc]simplify: iters left: 5 (29 enodes) 1540202071.889 * * [misc]simplify: iters left: 4 (48 enodes) 1540202071.905 * * [misc]simplify: iters left: 3 (96 enodes) 1540202071.943 * * [misc]simplify: iters left: 2 (183 enodes) 1540202072.000 * * [misc]simplify: iters left: 1 (325 enodes) 1540202072.143 * [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))))) 1540202072.143 * [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))))))) 1540202072.143 * * * * [misc]progress: [ 693 / 6878 ] simplifiying candidate # 1540202072.143 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540202072.143 * * [misc]simplify: iters left: 6 (15 enodes) 1540202072.145 * * [misc]simplify: iters left: 5 (24 enodes) 1540202072.148 * * [misc]simplify: iters left: 4 (32 enodes) 1540202072.154 * * [misc]simplify: iters left: 3 (45 enodes) 1540202072.166 * * [misc]simplify: iters left: 2 (59 enodes) 1540202072.181 * * [misc]simplify: iters left: 1 (75 enodes) 1540202072.201 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202072.201 * [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))))))) 1540202072.202 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202072.202 * * [misc]simplify: iters left: 6 (19 enodes) 1540202072.208 * * [misc]simplify: iters left: 5 (28 enodes) 1540202072.216 * * [misc]simplify: iters left: 4 (47 enodes) 1540202072.224 * * [misc]simplify: iters left: 3 (95 enodes) 1540202072.242 * * [misc]simplify: iters left: 2 (182 enodes) 1540202072.310 * * [misc]simplify: iters left: 1 (322 enodes) 1540202072.432 * [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)))))) 1540202072.432 * [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)))))))) 1540202072.432 * * * * [misc]progress: [ 694 / 6878 ] simplifiying candidate # 1540202072.433 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1) 1540202072.433 * * [misc]simplify: iters left: 6 (14 enodes) 1540202072.435 * * [misc]simplify: iters left: 5 (23 enodes) 1540202072.438 * * [misc]simplify: iters left: 4 (33 enodes) 1540202072.443 * * [misc]simplify: iters left: 3 (50 enodes) 1540202072.449 * * [misc]simplify: iters left: 2 (69 enodes) 1540202072.461 * * [misc]simplify: iters left: 1 (81 enodes) 1540202072.483 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202072.483 * [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))))))) 1540202072.483 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202072.483 * * [misc]simplify: iters left: 6 (19 enodes) 1540202072.489 * * [misc]simplify: iters left: 5 (28 enodes) 1540202072.498 * * [misc]simplify: iters left: 4 (47 enodes) 1540202072.513 * * [misc]simplify: iters left: 3 (95 enodes) 1540202072.550 * * [misc]simplify: iters left: 2 (182 enodes) 1540202072.630 * * [misc]simplify: iters left: 1 (322 enodes) 1540202072.744 * [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)))))) 1540202072.745 * [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)))))))) 1540202072.745 * * * * [misc]progress: [ 695 / 6878 ] simplifiying candidate # 1540202072.745 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540202072.745 * * [misc]simplify: iters left: 6 (14 enodes) 1540202072.747 * * [misc]simplify: iters left: 5 (21 enodes) 1540202072.750 * * [misc]simplify: iters left: 4 (31 enodes) 1540202072.754 * * [misc]simplify: iters left: 3 (46 enodes) 1540202072.760 * * [misc]simplify: iters left: 2 (63 enodes) 1540202072.776 * * [misc]simplify: iters left: 1 (80 enodes) 1540202072.796 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202072.796 * [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))))))) 1540202072.797 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202072.797 * * [misc]simplify: iters left: 6 (19 enodes) 1540202072.803 * * [misc]simplify: iters left: 5 (30 enodes) 1540202072.812 * * [misc]simplify: iters left: 4 (47 enodes) 1540202072.828 * * [misc]simplify: iters left: 3 (99 enodes) 1540202072.866 * * [misc]simplify: iters left: 2 (206 enodes) 1540202072.957 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202072.958 * [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)))))) 1540202072.958 * * * * [misc]progress: [ 696 / 6878 ] simplifiying candidate # 1540202072.958 * [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))) 1540202072.958 * * [misc]simplify: iters left: 6 (17 enodes) 1540202072.965 * * [misc]simplify: iters left: 5 (27 enodes) 1540202072.973 * * [misc]simplify: iters left: 4 (45 enodes) 1540202072.981 * * [misc]simplify: iters left: 3 (93 enodes) 1540202073.004 * * [misc]simplify: iters left: 2 (180 enodes) 1540202073.082 * * [misc]simplify: iters left: 1 (321 enodes) 1540202073.224 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) 1540202073.224 * [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))))) 1540202073.224 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202073.224 * * [misc]simplify: iters left: 6 (15 enodes) 1540202073.229 * * [misc]simplify: iters left: 5 (21 enodes) 1540202073.235 * * [misc]simplify: iters left: 4 (31 enodes) 1540202073.244 * * [misc]simplify: iters left: 3 (46 enodes) 1540202073.258 * * [misc]simplify: iters left: 2 (63 enodes) 1540202073.273 * * [misc]simplify: iters left: 1 (80 enodes) 1540202073.284 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202073.284 * [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)))))) 1540202073.285 * * * * [misc]progress: [ 697 / 6878 ] simplifiying candidate # 1540202073.285 * [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))))))) 1540202073.285 * * [misc]simplify: iters left: 6 (21 enodes) 1540202073.288 * * [misc]simplify: iters left: 5 (32 enodes) 1540202073.292 * * [misc]simplify: iters left: 4 (53 enodes) 1540202073.306 * * [misc]simplify: iters left: 3 (88 enodes) 1540202073.334 * * [misc]simplify: iters left: 2 (135 enodes) 1540202073.372 * * [misc]simplify: iters left: 1 (201 enodes) 1540202073.411 * [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))))))) 1540202073.411 * [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)))))))) 1540202073.412 * [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)))))) 1540202073.412 * * [misc]simplify: iters left: 6 (20 enodes) 1540202073.415 * * [misc]simplify: iters left: 5 (27 enodes) 1540202073.418 * * [misc]simplify: iters left: 4 (38 enodes) 1540202073.424 * * [misc]simplify: iters left: 3 (53 enodes) 1540202073.431 * * [misc]simplify: iters left: 2 (70 enodes) 1540202073.441 * * [misc]simplify: iters left: 1 (87 enodes) 1540202073.453 * [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)))))) 1540202073.453 * [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)))))))) 1540202073.453 * * * * [misc]progress: [ 698 / 6878 ] simplifiying candidate # 1540202073.454 * [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)))))) 1540202073.454 * * [misc]simplify: iters left: 6 (20 enodes) 1540202073.457 * * [misc]simplify: iters left: 5 (29 enodes) 1540202073.461 * * [misc]simplify: iters left: 4 (42 enodes) 1540202073.466 * * [misc]simplify: iters left: 3 (57 enodes) 1540202073.473 * * [misc]simplify: iters left: 2 (74 enodes) 1540202073.483 * * [misc]simplify: iters left: 1 (91 enodes) 1540202073.495 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202073.495 * [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)))))))) 1540202073.495 * [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)))))) 1540202073.496 * * [misc]simplify: iters left: 6 (20 enodes) 1540202073.502 * * [misc]simplify: iters left: 5 (27 enodes) 1540202073.511 * * [misc]simplify: iters left: 4 (38 enodes) 1540202073.522 * * [misc]simplify: iters left: 3 (53 enodes) 1540202073.536 * * [misc]simplify: iters left: 2 (70 enodes) 1540202073.557 * * [misc]simplify: iters left: 1 (87 enodes) 1540202073.574 * [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)))))) 1540202073.575 * [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)))))))) 1540202073.575 * * * * [misc]progress: [ 699 / 6878 ] simplifiying candidate # 1540202073.575 * [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))) 1540202073.575 * * [misc]simplify: iters left: 6 (19 enodes) 1540202073.579 * * [misc]simplify: iters left: 5 (31 enodes) 1540202073.584 * * [misc]simplify: iters left: 4 (59 enodes) 1540202073.596 * * [misc]simplify: iters left: 3 (161 enodes) 1540202073.655 * * [misc]simplify: iters left: 2 (416 enodes) 1540202073.970 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202073.970 * [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))))))) 1540202073.970 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202073.970 * * [misc]simplify: iters left: 6 (18 enodes) 1540202073.972 * * [misc]simplify: iters left: 5 (26 enodes) 1540202073.978 * * [misc]simplify: iters left: 4 (44 enodes) 1540202073.985 * * [misc]simplify: iters left: 3 (92 enodes) 1540202074.016 * * [misc]simplify: iters left: 2 (179 enodes) 1540202074.064 * * [misc]simplify: iters left: 1 (315 enodes) 1540202074.229 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202074.229 * [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))))) 1540202074.229 * * * * [misc]progress: [ 700 / 6878 ] simplifiying candidate # 1540202074.229 * [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))) 1540202074.229 * * [misc]simplify: iters left: 6 (19 enodes) 1540202074.233 * * [misc]simplify: iters left: 5 (31 enodes) 1540202074.240 * * [misc]simplify: iters left: 4 (59 enodes) 1540202074.252 * * [misc]simplify: iters left: 3 (161 enodes) 1540202074.343 * * [misc]simplify: iters left: 2 (416 enodes) 1540202074.573 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202074.573 * [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))))))) 1540202074.574 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202074.574 * * [misc]simplify: iters left: 6 (18 enodes) 1540202074.580 * * [misc]simplify: iters left: 5 (26 enodes) 1540202074.587 * * [misc]simplify: iters left: 4 (44 enodes) 1540202074.599 * * [misc]simplify: iters left: 3 (92 enodes) 1540202074.616 * * [misc]simplify: iters left: 2 (179 enodes) 1540202074.683 * * [misc]simplify: iters left: 1 (315 enodes) 1540202074.830 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202074.830 * [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))))) 1540202074.830 * * * * [misc]progress: [ 701 / 6878 ] simplifiying candidate # 1540202074.830 * [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))))))) 1540202074.830 * * [misc]simplify: iters left: 6 (23 enodes) 1540202074.837 * * [misc]simplify: iters left: 5 (40 enodes) 1540202074.850 * * [misc]simplify: iters left: 4 (91 enodes) 1540202074.889 * * [misc]simplify: iters left: 3 (263 enodes) 1540202075.078 * [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)))))) 1540202075.078 * [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)))))))) 1540202075.079 * [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)))))) 1540202075.079 * * [misc]simplify: iters left: 6 (21 enodes) 1540202075.084 * * [misc]simplify: iters left: 5 (30 enodes) 1540202075.092 * * [misc]simplify: iters left: 4 (49 enodes) 1540202075.106 * * [misc]simplify: iters left: 3 (97 enodes) 1540202075.132 * * [misc]simplify: iters left: 2 (184 enodes) 1540202075.187 * * [misc]simplify: iters left: 1 (320 enodes) 1540202075.323 * [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)))))) 1540202075.323 * [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)))))))) 1540202075.323 * * * * [misc]progress: [ 702 / 6878 ] simplifiying candidate # 1540202075.323 * [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)))))) 1540202075.323 * * [misc]simplify: iters left: 6 (22 enodes) 1540202075.326 * * [misc]simplify: iters left: 5 (35 enodes) 1540202075.332 * * [misc]simplify: iters left: 4 (66 enodes) 1540202075.351 * * [misc]simplify: iters left: 3 (168 enodes) 1540202075.420 * * [misc]simplify: iters left: 2 (418 enodes) 1540202075.695 * [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)))))) 1540202075.695 * [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)))))))) 1540202075.695 * [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)))))) 1540202075.696 * * [misc]simplify: iters left: 6 (21 enodes) 1540202075.698 * * [misc]simplify: iters left: 5 (30 enodes) 1540202075.707 * * [misc]simplify: iters left: 4 (49 enodes) 1540202075.722 * * [misc]simplify: iters left: 3 (97 enodes) 1540202075.740 * * [misc]simplify: iters left: 2 (184 enodes) 1540202075.809 * * [misc]simplify: iters left: 1 (320 enodes) 1540202075.972 * [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)))))) 1540202075.972 * [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)))))))) 1540202075.972 * * * * [misc]progress: [ 703 / 6878 ] simplifiying candidate # 1540202075.973 * [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)) 1540202075.973 * * [misc]simplify: iters left: 6 (18 enodes) 1540202075.979 * * [misc]simplify: iters left: 5 (31 enodes) 1540202075.989 * * [misc]simplify: iters left: 4 (59 enodes) 1540202076.005 * * [misc]simplify: iters left: 3 (114 enodes) 1540202076.032 * * [misc]simplify: iters left: 2 (310 enodes) 1540202076.263 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202076.263 * [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))))))) 1540202076.264 * [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))))) 1540202076.264 * * [misc]simplify: iters left: 6 (20 enodes) 1540202076.267 * * [misc]simplify: iters left: 5 (29 enodes) 1540202076.271 * * [misc]simplify: iters left: 4 (48 enodes) 1540202076.279 * * [misc]simplify: iters left: 3 (96 enodes) 1540202076.296 * * [misc]simplify: iters left: 2 (183 enodes) 1540202076.366 * * [misc]simplify: iters left: 1 (325 enodes) 1540202076.581 * [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))))) 1540202076.581 * [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))))))) 1540202076.581 * * * * [misc]progress: [ 704 / 6878 ] simplifiying candidate # 1540202076.581 * [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))) 1540202076.582 * * [misc]simplify: iters left: 6 (16 enodes) 1540202076.585 * * [misc]simplify: iters left: 5 (26 enodes) 1540202076.589 * * [misc]simplify: iters left: 4 (43 enodes) 1540202076.596 * * [misc]simplify: iters left: 3 (88 enodes) 1540202076.616 * * [misc]simplify: iters left: 2 (153 enodes) 1540202076.688 * * [misc]simplify: iters left: 1 (250 enodes) 1540202076.779 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540202076.779 * [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))))))) 1540202076.780 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202076.780 * * [misc]simplify: iters left: 6 (16 enodes) 1540202076.782 * * [misc]simplify: iters left: 5 (24 enodes) 1540202076.785 * * [misc]simplify: iters left: 4 (41 enodes) 1540202076.797 * * [misc]simplify: iters left: 3 (86 enodes) 1540202076.829 * * [misc]simplify: iters left: 2 (151 enodes) 1540202076.873 * * [misc]simplify: iters left: 1 (234 enodes) 1540202076.947 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202076.947 * [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)))))) 1540202076.947 * * * * [misc]progress: [ 705 / 6878 ] simplifiying candidate # 1540202076.947 * [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))) 1540202076.948 * * [misc]simplify: iters left: 6 (16 enodes) 1540202076.954 * * [misc]simplify: iters left: 5 (26 enodes) 1540202076.963 * * [misc]simplify: iters left: 4 (43 enodes) 1540202076.973 * * [misc]simplify: iters left: 3 (88 enodes) 1540202076.992 * * [misc]simplify: iters left: 2 (153 enodes) 1540202077.052 * * [misc]simplify: iters left: 1 (250 enodes) 1540202077.149 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540202077.149 * [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))))))) 1540202077.149 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202077.150 * * [misc]simplify: iters left: 6 (16 enodes) 1540202077.152 * * [misc]simplify: iters left: 5 (24 enodes) 1540202077.156 * * [misc]simplify: iters left: 4 (41 enodes) 1540202077.163 * * [misc]simplify: iters left: 3 (86 enodes) 1540202077.178 * * [misc]simplify: iters left: 2 (151 enodes) 1540202077.226 * * [misc]simplify: iters left: 1 (234 enodes) 1540202077.305 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202077.305 * [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)))))) 1540202077.305 * * * * [misc]progress: [ 706 / 6878 ] simplifiying candidate # 1540202077.305 * [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))))))) 1540202077.305 * * [misc]simplify: iters left: 6 (20 enodes) 1540202077.309 * * [misc]simplify: iters left: 5 (33 enodes) 1540202077.313 * * [misc]simplify: iters left: 4 (59 enodes) 1540202077.323 * * [misc]simplify: iters left: 3 (135 enodes) 1540202077.354 * * [misc]simplify: iters left: 2 (300 enodes) 1540202077.554 * [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)))))) 1540202077.554 * [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)))))))) 1540202077.555 * [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)))))) 1540202077.555 * * [misc]simplify: iters left: 6 (19 enodes) 1540202077.557 * * [misc]simplify: iters left: 5 (28 enodes) 1540202077.563 * * [misc]simplify: iters left: 4 (46 enodes) 1540202077.570 * * [misc]simplify: iters left: 3 (91 enodes) 1540202077.601 * * [misc]simplify: iters left: 2 (156 enodes) 1540202077.664 * * [misc]simplify: iters left: 1 (236 enodes) 1540202077.765 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202077.765 * [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)))))))) 1540202077.765 * * * * [misc]progress: [ 707 / 6878 ] simplifiying candidate # 1540202077.766 * [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)))))) 1540202077.766 * * [misc]simplify: iters left: 6 (19 enodes) 1540202077.768 * * [misc]simplify: iters left: 5 (30 enodes) 1540202077.773 * * [misc]simplify: iters left: 4 (50 enodes) 1540202077.782 * * [misc]simplify: iters left: 3 (95 enodes) 1540202077.798 * * [misc]simplify: iters left: 2 (160 enodes) 1540202077.831 * * [misc]simplify: iters left: 1 (256 enodes) 1540202077.941 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202077.941 * [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)))))))) 1540202077.941 * [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)))))) 1540202077.941 * * [misc]simplify: iters left: 6 (19 enodes) 1540202077.947 * * [misc]simplify: iters left: 5 (28 enodes) 1540202077.957 * * [misc]simplify: iters left: 4 (46 enodes) 1540202077.973 * * [misc]simplify: iters left: 3 (91 enodes) 1540202078.006 * * [misc]simplify: iters left: 2 (156 enodes) 1540202078.071 * * [misc]simplify: iters left: 1 (236 enodes) 1540202078.179 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202078.179 * [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)))))))) 1540202078.179 * * * * [misc]progress: [ 708 / 6878 ] simplifiying candidate # 1540202078.180 * [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)) 1540202078.180 * * [misc]simplify: iters left: 6 (15 enodes) 1540202078.182 * * [misc]simplify: iters left: 5 (25 enodes) 1540202078.186 * * [misc]simplify: iters left: 4 (42 enodes) 1540202078.193 * * [misc]simplify: iters left: 3 (71 enodes) 1540202078.209 * * [misc]simplify: iters left: 2 (138 enodes) 1540202078.251 * * [misc]simplify: iters left: 1 (249 enodes) 1540202078.358 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540202078.358 * [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))))))) 1540202078.358 * [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))))) 1540202078.358 * * [misc]simplify: iters left: 6 (18 enodes) 1540202078.361 * * [misc]simplify: iters left: 5 (27 enodes) 1540202078.365 * * [misc]simplify: iters left: 4 (45 enodes) 1540202078.374 * * [misc]simplify: iters left: 3 (90 enodes) 1540202078.390 * * [misc]simplify: iters left: 2 (155 enodes) 1540202078.441 * * [misc]simplify: iters left: 1 (239 enodes) 1540202078.523 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202078.523 * [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))))))) 1540202078.523 * * * * [misc]progress: [ 709 / 6878 ] simplifiying candidate # 1540202078.524 * [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))) 1540202078.524 * * [misc]simplify: iters left: 6 (18 enodes) 1540202078.527 * * [misc]simplify: iters left: 5 (28 enodes) 1540202078.531 * * [misc]simplify: iters left: 4 (46 enodes) 1540202078.539 * * [misc]simplify: iters left: 3 (94 enodes) 1540202078.576 * * [misc]simplify: iters left: 2 (181 enodes) 1540202078.632 * * [misc]simplify: iters left: 1 (326 enodes) 1540202078.810 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202078.810 * [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))))))) 1540202078.810 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202078.810 * * [misc]simplify: iters left: 6 (18 enodes) 1540202078.815 * * [misc]simplify: iters left: 5 (26 enodes) 1540202078.823 * * [misc]simplify: iters left: 4 (44 enodes) 1540202078.836 * * [misc]simplify: iters left: 3 (92 enodes) 1540202078.869 * * [misc]simplify: iters left: 2 (179 enodes) 1540202078.947 * * [misc]simplify: iters left: 1 (315 enodes) 1540202079.116 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202079.116 * [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))))) 1540202079.116 * * * * [misc]progress: [ 710 / 6878 ] simplifiying candidate # 1540202079.117 * [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))) 1540202079.117 * * [misc]simplify: iters left: 6 (18 enodes) 1540202079.124 * * [misc]simplify: iters left: 5 (28 enodes) 1540202079.133 * * [misc]simplify: iters left: 4 (46 enodes) 1540202079.149 * * [misc]simplify: iters left: 3 (94 enodes) 1540202079.188 * * [misc]simplify: iters left: 2 (181 enodes) 1540202079.258 * * [misc]simplify: iters left: 1 (326 enodes) 1540202079.388 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202079.388 * [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))))))) 1540202079.389 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202079.389 * * [misc]simplify: iters left: 6 (18 enodes) 1540202079.394 * * [misc]simplify: iters left: 5 (26 enodes) 1540202079.402 * * [misc]simplify: iters left: 4 (44 enodes) 1540202079.417 * * [misc]simplify: iters left: 3 (92 enodes) 1540202079.453 * * [misc]simplify: iters left: 2 (179 enodes) 1540202079.535 * * [misc]simplify: iters left: 1 (315 enodes) 1540202079.699 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202079.699 * [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))))) 1540202079.699 * * * * [misc]progress: [ 711 / 6878 ] simplifiying candidate # 1540202079.699 * [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))))))) 1540202079.699 * * [misc]simplify: iters left: 6 (22 enodes) 1540202079.702 * * [misc]simplify: iters left: 5 (35 enodes) 1540202079.707 * * [misc]simplify: iters left: 4 (62 enodes) 1540202079.718 * * [misc]simplify: iters left: 3 (141 enodes) 1540202079.754 * * [misc]simplify: iters left: 2 (337 enodes) 1540202079.995 * [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)))))) 1540202079.995 * [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)))))))) 1540202079.995 * [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)))))) 1540202079.995 * * [misc]simplify: iters left: 6 (21 enodes) 1540202080.002 * * [misc]simplify: iters left: 5 (30 enodes) 1540202080.011 * * [misc]simplify: iters left: 4 (49 enodes) 1540202080.027 * * [misc]simplify: iters left: 3 (97 enodes) 1540202080.052 * * [misc]simplify: iters left: 2 (184 enodes) 1540202080.099 * * [misc]simplify: iters left: 1 (320 enodes) 1540202080.235 * [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)))))) 1540202080.235 * [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)))))))) 1540202080.235 * * * * [misc]progress: [ 712 / 6878 ] simplifiying candidate # 1540202080.235 * [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)))))) 1540202080.235 * * [misc]simplify: iters left: 6 (21 enodes) 1540202080.238 * * [misc]simplify: iters left: 5 (32 enodes) 1540202080.243 * * [misc]simplify: iters left: 4 (53 enodes) 1540202080.251 * * [misc]simplify: iters left: 3 (101 enodes) 1540202080.273 * * [misc]simplify: iters left: 2 (188 enodes) 1540202080.335 * * [misc]simplify: iters left: 1 (324 enodes) 1540202080.467 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540202080.467 * [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)))))))) 1540202080.467 * [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)))))) 1540202080.467 * * [misc]simplify: iters left: 6 (21 enodes) 1540202080.470 * * [misc]simplify: iters left: 5 (30 enodes) 1540202080.474 * * [misc]simplify: iters left: 4 (49 enodes) 1540202080.484 * * [misc]simplify: iters left: 3 (97 enodes) 1540202080.524 * * [misc]simplify: iters left: 2 (184 enodes) 1540202080.570 * * [misc]simplify: iters left: 1 (320 enodes) 1540202080.707 * [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)))))) 1540202080.707 * [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)))))))) 1540202080.707 * * * * [misc]progress: [ 713 / 6878 ] simplifiying candidate # 1540202080.707 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202080.707 * * [misc]simplify: iters left: 6 (17 enodes) 1540202080.709 * * [misc]simplify: iters left: 5 (28 enodes) 1540202080.714 * * [misc]simplify: iters left: 4 (48 enodes) 1540202080.721 * * [misc]simplify: iters left: 3 (74 enodes) 1540202080.731 * * [misc]simplify: iters left: 2 (131 enodes) 1540202080.769 * * [misc]simplify: iters left: 1 (235 enodes) 1540202080.853 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540202080.853 * [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))))))) 1540202080.853 * [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))))) 1540202080.854 * * [misc]simplify: iters left: 6 (20 enodes) 1540202080.860 * * [misc]simplify: iters left: 5 (29 enodes) 1540202080.868 * * [misc]simplify: iters left: 4 (48 enodes) 1540202080.884 * * [misc]simplify: iters left: 3 (96 enodes) 1540202080.920 * * [misc]simplify: iters left: 2 (183 enodes) 1540202080.987 * * [misc]simplify: iters left: 1 (325 enodes) 1540202081.120 * [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))))) 1540202081.120 * [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))))))) 1540202081.120 * * * * [misc]progress: [ 714 / 6878 ] simplifiying candidate # 1540202081.120 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202081.120 * * [misc]simplify: iters left: 6 (18 enodes) 1540202081.124 * * [misc]simplify: iters left: 5 (30 enodes) 1540202081.128 * * [misc]simplify: iters left: 4 (50 enodes) 1540202081.137 * * [misc]simplify: iters left: 3 (117 enodes) 1540202081.165 * * [misc]simplify: iters left: 2 (262 enodes) 1540202081.319 * * [misc]simplify: iters left: 1 (425 enodes) 1540202081.537 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202081.537 * [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))))))) 1540202081.537 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202081.538 * * [misc]simplify: iters left: 6 (17 enodes) 1540202081.543 * * [misc]simplify: iters left: 5 (25 enodes) 1540202081.550 * * [misc]simplify: iters left: 4 (43 enodes) 1540202081.567 * * [misc]simplify: iters left: 3 (91 enodes) 1540202081.603 * * [misc]simplify: iters left: 2 (178 enodes) 1540202081.684 * * [misc]simplify: iters left: 1 (319 enodes) 1540202081.878 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202081.878 * [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))))))) 1540202081.878 * * * * [misc]progress: [ 715 / 6878 ] simplifiying candidate # 1540202081.878 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202081.878 * * [misc]simplify: iters left: 6 (18 enodes) 1540202081.883 * * [misc]simplify: iters left: 5 (30 enodes) 1540202081.887 * * [misc]simplify: iters left: 4 (50 enodes) 1540202081.902 * * [misc]simplify: iters left: 3 (117 enodes) 1540202081.955 * * [misc]simplify: iters left: 2 (262 enodes) 1540202082.103 * * [misc]simplify: iters left: 1 (425 enodes) 1540202082.271 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202082.271 * [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))))))) 1540202082.271 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202082.271 * * [misc]simplify: iters left: 6 (17 enodes) 1540202082.274 * * [misc]simplify: iters left: 5 (25 enodes) 1540202082.277 * * [misc]simplify: iters left: 4 (43 enodes) 1540202082.284 * * [misc]simplify: iters left: 3 (91 enodes) 1540202082.301 * * [misc]simplify: iters left: 2 (178 enodes) 1540202082.353 * * [misc]simplify: iters left: 1 (319 enodes) 1540202082.510 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202082.510 * [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))))))) 1540202082.510 * * * * [misc]progress: [ 716 / 6878 ] simplifiying candidate # 1540202082.510 * [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))))))) 1540202082.511 * * [misc]simplify: iters left: 6 (22 enodes) 1540202082.518 * * [misc]simplify: iters left: 5 (37 enodes) 1540202082.529 * * [misc]simplify: iters left: 4 (67 enodes) 1540202082.555 * * [misc]simplify: iters left: 3 (178 enodes) 1540202082.643 * * [misc]simplify: iters left: 2 (453 enodes) 1540202083.037 * [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))))) 1540202083.037 * [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)))))))) 1540202083.037 * [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)))))) 1540202083.037 * * [misc]simplify: iters left: 6 (20 enodes) 1540202083.043 * * [misc]simplify: iters left: 5 (29 enodes) 1540202083.055 * * [misc]simplify: iters left: 4 (48 enodes) 1540202083.070 * * [misc]simplify: iters left: 3 (96 enodes) 1540202083.088 * * [misc]simplify: iters left: 2 (183 enodes) 1540202083.140 * * [misc]simplify: iters left: 1 (325 enodes) 1540202083.322 * [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))))) 1540202083.322 * [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)) (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))))))) 1540202083.322 * * * * [misc]progress: [ 717 / 6878 ] simplifiying candidate # 1540202083.322 * [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)))))) 1540202083.322 * * [misc]simplify: iters left: 6 (21 enodes) 1540202083.330 * * [misc]simplify: iters left: 5 (34 enodes) 1540202083.342 * * [misc]simplify: iters left: 4 (57 enodes) 1540202083.361 * * [misc]simplify: iters left: 3 (120 enodes) 1540202083.388 * * [misc]simplify: iters left: 2 (263 enodes) 1540202083.522 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202083.523 * [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)))))))) 1540202083.523 * [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)))))) 1540202083.523 * * [misc]simplify: iters left: 6 (20 enodes) 1540202083.530 * * [misc]simplify: iters left: 5 (29 enodes) 1540202083.538 * * [misc]simplify: iters left: 4 (48 enodes) 1540202083.546 * * [misc]simplify: iters left: 3 (96 enodes) 1540202083.565 * * [misc]simplify: iters left: 2 (183 enodes) 1540202083.649 * * [misc]simplify: iters left: 1 (325 enodes) 1540202083.837 * [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))))) 1540202083.838 * [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))))))) 1540202083.838 * * * * [misc]progress: [ 718 / 6878 ] simplifiying candidate # 1540202083.838 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202083.838 * * [misc]simplify: iters left: 6 (16 enodes) 1540202083.845 * * [misc]simplify: iters left: 5 (27 enodes) 1540202083.852 * * [misc]simplify: iters left: 4 (35 enodes) 1540202083.863 * * [misc]simplify: iters left: 3 (57 enodes) 1540202083.879 * * [misc]simplify: iters left: 2 (86 enodes) 1540202083.911 * * [misc]simplify: iters left: 1 (142 enodes) 1540202083.974 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202083.974 * [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))))))) 1540202083.975 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202083.975 * * [misc]simplify: iters left: 6 (19 enodes) 1540202083.977 * * [misc]simplify: iters left: 5 (28 enodes) 1540202083.981 * * [misc]simplify: iters left: 4 (47 enodes) 1540202083.989 * * [misc]simplify: iters left: 3 (95 enodes) 1540202084.016 * * [misc]simplify: iters left: 2 (182 enodes) 1540202084.067 * * [misc]simplify: iters left: 1 (322 enodes) 1540202084.243 * [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)))))) 1540202084.243 * [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)))))))) 1540202084.244 * * * * [misc]progress: [ 719 / 6878 ] simplifiying candidate # 1540202084.244 * [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))) 1540202084.244 * * [misc]simplify: iters left: 6 (18 enodes) 1540202084.251 * * [misc]simplify: iters left: 5 (28 enodes) 1540202084.260 * * [misc]simplify: iters left: 4 (46 enodes) 1540202084.275 * * [misc]simplify: iters left: 3 (94 enodes) 1540202084.311 * * [misc]simplify: iters left: 2 (181 enodes) 1540202084.362 * * [misc]simplify: iters left: 1 (326 enodes) 1540202084.535 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202084.535 * [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))))))) 1540202084.536 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202084.536 * * [misc]simplify: iters left: 6 (18 enodes) 1540202084.542 * * [misc]simplify: iters left: 5 (26 enodes) 1540202084.550 * * [misc]simplify: iters left: 4 (44 enodes) 1540202084.564 * * [misc]simplify: iters left: 3 (92 enodes) 1540202084.583 * * [misc]simplify: iters left: 2 (179 enodes) 1540202084.628 * * [misc]simplify: iters left: 1 (315 enodes) 1540202084.761 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202084.761 * [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))))) 1540202084.761 * * * * [misc]progress: [ 720 / 6878 ] simplifiying candidate # 1540202084.762 * [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))) 1540202084.762 * * [misc]simplify: iters left: 6 (18 enodes) 1540202084.769 * * [misc]simplify: iters left: 5 (28 enodes) 1540202084.775 * * [misc]simplify: iters left: 4 (46 enodes) 1540202084.783 * * [misc]simplify: iters left: 3 (94 enodes) 1540202084.807 * * [misc]simplify: iters left: 2 (181 enodes) 1540202084.860 * * [misc]simplify: iters left: 1 (326 enodes) 1540202085.014 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202085.014 * [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))))))) 1540202085.015 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202085.015 * * [misc]simplify: iters left: 6 (18 enodes) 1540202085.018 * * [misc]simplify: iters left: 5 (26 enodes) 1540202085.022 * * [misc]simplify: iters left: 4 (44 enodes) 1540202085.029 * * [misc]simplify: iters left: 3 (92 enodes) 1540202085.065 * * [misc]simplify: iters left: 2 (179 enodes) 1540202085.117 * * [misc]simplify: iters left: 1 (315 enodes) 1540202085.308 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202085.309 * [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))))) 1540202085.309 * * * * [misc]progress: [ 721 / 6878 ] simplifiying candidate # 1540202085.309 * [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))))))) 1540202085.309 * * [misc]simplify: iters left: 6 (22 enodes) 1540202085.317 * * [misc]simplify: iters left: 5 (35 enodes) 1540202085.323 * * [misc]simplify: iters left: 4 (62 enodes) 1540202085.333 * * [misc]simplify: iters left: 3 (141 enodes) 1540202085.387 * * [misc]simplify: iters left: 2 (337 enodes) 1540202085.585 * [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)))))) 1540202085.585 * [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)))))))) 1540202085.586 * [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)))))) 1540202085.586 * * [misc]simplify: iters left: 6 (21 enodes) 1540202085.589 * * [misc]simplify: iters left: 5 (30 enodes) 1540202085.593 * * [misc]simplify: iters left: 4 (49 enodes) 1540202085.601 * * [misc]simplify: iters left: 3 (97 enodes) 1540202085.639 * * [misc]simplify: iters left: 2 (184 enodes) 1540202085.688 * * [misc]simplify: iters left: 1 (320 enodes) 1540202085.790 * [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)))))) 1540202085.790 * [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)))))))) 1540202085.790 * * * * [misc]progress: [ 722 / 6878 ] simplifiying candidate # 1540202085.790 * [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)))))) 1540202085.790 * * [misc]simplify: iters left: 6 (21 enodes) 1540202085.793 * * [misc]simplify: iters left: 5 (32 enodes) 1540202085.798 * * [misc]simplify: iters left: 4 (53 enodes) 1540202085.813 * * [misc]simplify: iters left: 3 (101 enodes) 1540202085.847 * * [misc]simplify: iters left: 2 (188 enodes) 1540202085.888 * * [misc]simplify: iters left: 1 (324 enodes) 1540202086.043 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540202086.043 * [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)))))))) 1540202086.043 * [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)))))) 1540202086.044 * * [misc]simplify: iters left: 6 (21 enodes) 1540202086.046 * * [misc]simplify: iters left: 5 (30 enodes) 1540202086.051 * * [misc]simplify: iters left: 4 (49 enodes) 1540202086.058 * * [misc]simplify: iters left: 3 (97 enodes) 1540202086.080 * * [misc]simplify: iters left: 2 (184 enodes) 1540202086.132 * * [misc]simplify: iters left: 1 (320 enodes) 1540202086.297 * [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)))))) 1540202086.297 * [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)))))))) 1540202086.297 * * * * [misc]progress: [ 723 / 6878 ] simplifiying candidate # 1540202086.298 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202086.298 * * [misc]simplify: iters left: 6 (17 enodes) 1540202086.304 * * [misc]simplify: iters left: 5 (28 enodes) 1540202086.313 * * [misc]simplify: iters left: 4 (48 enodes) 1540202086.327 * * [misc]simplify: iters left: 3 (74 enodes) 1540202086.349 * * [misc]simplify: iters left: 2 (131 enodes) 1540202086.381 * * [misc]simplify: iters left: 1 (235 enodes) 1540202086.483 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540202086.483 * [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))))))) 1540202086.483 * [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))))) 1540202086.483 * * [misc]simplify: iters left: 6 (20 enodes) 1540202086.490 * * [misc]simplify: iters left: 5 (29 enodes) 1540202086.499 * * [misc]simplify: iters left: 4 (48 enodes) 1540202086.517 * * [misc]simplify: iters left: 3 (96 enodes) 1540202086.555 * * [misc]simplify: iters left: 2 (183 enodes) 1540202086.608 * * [misc]simplify: iters left: 1 (325 enodes) 1540202086.762 * [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))))) 1540202086.762 * [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))))))) 1540202086.762 * * * * [misc]progress: [ 724 / 6878 ] simplifiying candidate # 1540202086.762 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202086.763 * * [misc]simplify: iters left: 6 (17 enodes) 1540202086.769 * * [misc]simplify: iters left: 5 (29 enodes) 1540202086.780 * * [misc]simplify: iters left: 4 (45 enodes) 1540202086.796 * * [misc]simplify: iters left: 3 (97 enodes) 1540202086.834 * * [misc]simplify: iters left: 2 (182 enodes) 1540202086.910 * * [misc]simplify: iters left: 1 (313 enodes) 1540202087.038 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202087.038 * [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))))))) 1540202087.039 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202087.039 * * [misc]simplify: iters left: 6 (17 enodes) 1540202087.041 * * [misc]simplify: iters left: 5 (25 enodes) 1540202087.046 * * [misc]simplify: iters left: 4 (43 enodes) 1540202087.054 * * [misc]simplify: iters left: 3 (91 enodes) 1540202087.088 * * [misc]simplify: iters left: 2 (178 enodes) 1540202087.139 * * [misc]simplify: iters left: 1 (319 enodes) 1540202087.327 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202087.327 * [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))))))) 1540202087.327 * * * * [misc]progress: [ 725 / 6878 ] simplifiying candidate # 1540202087.328 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202087.328 * * [misc]simplify: iters left: 6 (17 enodes) 1540202087.334 * * [misc]simplify: iters left: 5 (29 enodes) 1540202087.342 * * [misc]simplify: iters left: 4 (45 enodes) 1540202087.359 * * [misc]simplify: iters left: 3 (97 enodes) 1540202087.386 * * [misc]simplify: iters left: 2 (182 enodes) 1540202087.446 * * [misc]simplify: iters left: 1 (313 enodes) 1540202087.563 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202087.563 * [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))))))) 1540202087.563 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202087.563 * * [misc]simplify: iters left: 6 (17 enodes) 1540202087.566 * * [misc]simplify: iters left: 5 (25 enodes) 1540202087.570 * * [misc]simplify: iters left: 4 (43 enodes) 1540202087.577 * * [misc]simplify: iters left: 3 (91 enodes) 1540202087.596 * * [misc]simplify: iters left: 2 (178 enodes) 1540202087.641 * * [misc]simplify: iters left: 1 (319 enodes) 1540202087.790 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202087.790 * [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))))))) 1540202087.790 * * * * [misc]progress: [ 726 / 6878 ] simplifiying candidate # 1540202087.790 * [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))))))) 1540202087.790 * * [misc]simplify: iters left: 6 (21 enodes) 1540202087.797 * * [misc]simplify: iters left: 5 (36 enodes) 1540202087.807 * * [misc]simplify: iters left: 4 (61 enodes) 1540202087.821 * * [misc]simplify: iters left: 3 (155 enodes) 1540202087.866 * * [misc]simplify: iters left: 2 (370 enodes) 1540202088.114 * [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)))))) 1540202088.114 * [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)))))))) 1540202088.115 * [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)))))) 1540202088.115 * * [misc]simplify: iters left: 6 (20 enodes) 1540202088.118 * * [misc]simplify: iters left: 5 (29 enodes) 1540202088.124 * * [misc]simplify: iters left: 4 (48 enodes) 1540202088.140 * * [misc]simplify: iters left: 3 (96 enodes) 1540202088.179 * * [misc]simplify: iters left: 2 (183 enodes) 1540202088.243 * * [misc]simplify: iters left: 1 (325 enodes) 1540202088.421 * [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))))) 1540202088.421 * [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))))))) 1540202088.421 * * * * [misc]progress: [ 727 / 6878 ] simplifiying candidate # 1540202088.421 * [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)))))) 1540202088.421 * * [misc]simplify: iters left: 6 (20 enodes) 1540202088.424 * * [misc]simplify: iters left: 5 (33 enodes) 1540202088.428 * * [misc]simplify: iters left: 4 (52 enodes) 1540202088.436 * * [misc]simplify: iters left: 3 (104 enodes) 1540202088.460 * * [misc]simplify: iters left: 2 (189 enodes) 1540202088.520 * * [misc]simplify: iters left: 1 (392 enodes) 1540202088.863 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202088.863 * [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)))))))) 1540202088.864 * [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)))))) 1540202088.864 * * [misc]simplify: iters left: 6 (20 enodes) 1540202088.870 * * [misc]simplify: iters left: 5 (29 enodes) 1540202088.875 * * [misc]simplify: iters left: 4 (48 enodes) 1540202088.882 * * [misc]simplify: iters left: 3 (96 enodes) 1540202088.902 * * [misc]simplify: iters left: 2 (183 enodes) 1540202088.963 * * [misc]simplify: iters left: 1 (325 enodes) 1540202089.122 * [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))))) 1540202089.122 * [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))))))) 1540202089.122 * * * * [misc]progress: [ 728 / 6878 ] simplifiying candidate # 1540202089.122 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540202089.122 * * [misc]simplify: iters left: 6 (15 enodes) 1540202089.127 * * [misc]simplify: iters left: 5 (24 enodes) 1540202089.134 * * [misc]simplify: iters left: 4 (32 enodes) 1540202089.144 * * [misc]simplify: iters left: 3 (45 enodes) 1540202089.155 * * [misc]simplify: iters left: 2 (59 enodes) 1540202089.166 * * [misc]simplify: iters left: 1 (75 enodes) 1540202089.176 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202089.176 * [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))))))) 1540202089.176 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202089.176 * * [misc]simplify: iters left: 6 (19 enodes) 1540202089.179 * * [misc]simplify: iters left: 5 (28 enodes) 1540202089.183 * * [misc]simplify: iters left: 4 (47 enodes) 1540202089.193 * * [misc]simplify: iters left: 3 (95 enodes) 1540202089.224 * * [misc]simplify: iters left: 2 (182 enodes) 1540202089.270 * * [misc]simplify: iters left: 1 (322 enodes) 1540202089.428 * [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)))))) 1540202089.428 * [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)))))))) 1540202089.428 * * * * [misc]progress: [ 729 / 6878 ] simplifiying candidate # 1540202089.428 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1) 1540202089.429 * * [misc]simplify: iters left: 6 (14 enodes) 1540202089.433 * * [misc]simplify: iters left: 5 (23 enodes) 1540202089.439 * * [misc]simplify: iters left: 4 (33 enodes) 1540202089.449 * * [misc]simplify: iters left: 3 (50 enodes) 1540202089.463 * * [misc]simplify: iters left: 2 (69 enodes) 1540202089.477 * * [misc]simplify: iters left: 1 (81 enodes) 1540202089.487 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202089.487 * [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))))))) 1540202089.487 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202089.487 * * [misc]simplify: iters left: 6 (19 enodes) 1540202089.490 * * [misc]simplify: iters left: 5 (28 enodes) 1540202089.494 * * [misc]simplify: iters left: 4 (47 enodes) 1540202089.503 * * [misc]simplify: iters left: 3 (95 enodes) 1540202089.529 * * [misc]simplify: iters left: 2 (182 enodes) 1540202089.592 * * [misc]simplify: iters left: 1 (322 enodes) 1540202089.735 * [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)))))) 1540202089.735 * [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)))))))) 1540202089.735 * * * * [misc]progress: [ 730 / 6878 ] simplifiying candidate # 1540202089.736 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540202089.736 * * [misc]simplify: iters left: 6 (14 enodes) 1540202089.740 * * [misc]simplify: iters left: 5 (21 enodes) 1540202089.744 * * [misc]simplify: iters left: 4 (31 enodes) 1540202089.752 * * [misc]simplify: iters left: 3 (46 enodes) 1540202089.763 * * [misc]simplify: iters left: 2 (63 enodes) 1540202089.783 * * [misc]simplify: iters left: 1 (80 enodes) 1540202089.804 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202089.804 * [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))))))) 1540202089.805 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202089.805 * * [misc]simplify: iters left: 6 (19 enodes) 1540202089.810 * * [misc]simplify: iters left: 5 (30 enodes) 1540202089.819 * * [misc]simplify: iters left: 4 (47 enodes) 1540202089.827 * * [misc]simplify: iters left: 3 (99 enodes) 1540202089.845 * * [misc]simplify: iters left: 2 (206 enodes) 1540202089.954 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202089.954 * [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)))))) 1540202089.954 * * * * [misc]progress: [ 731 / 6878 ] simplifiying candidate # 1540202089.954 * [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))) 1540202089.955 * * [misc]simplify: iters left: 6 (17 enodes) 1540202089.960 * * [misc]simplify: iters left: 5 (27 enodes) 1540202089.969 * * [misc]simplify: iters left: 4 (45 enodes) 1540202089.984 * * [misc]simplify: iters left: 3 (93 enodes) 1540202090.017 * * [misc]simplify: iters left: 2 (180 enodes) 1540202090.068 * * [misc]simplify: iters left: 1 (321 enodes) 1540202090.209 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) 1540202090.209 * [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))))) 1540202090.210 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202090.210 * * [misc]simplify: iters left: 6 (15 enodes) 1540202090.214 * * [misc]simplify: iters left: 5 (21 enodes) 1540202090.220 * * [misc]simplify: iters left: 4 (31 enodes) 1540202090.229 * * [misc]simplify: iters left: 3 (46 enodes) 1540202090.242 * * [misc]simplify: iters left: 2 (63 enodes) 1540202090.253 * * [misc]simplify: iters left: 1 (80 enodes) 1540202090.266 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202090.266 * [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)))))) 1540202090.266 * * * * [misc]progress: [ 732 / 6878 ] simplifiying candidate # 1540202090.266 * [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))))))) 1540202090.267 * * [misc]simplify: iters left: 6 (23 enodes) 1540202090.270 * * [misc]simplify: iters left: 5 (35 enodes) 1540202090.275 * * [misc]simplify: iters left: 4 (60 enodes) 1540202090.287 * * [misc]simplify: iters left: 3 (125 enodes) 1540202090.336 * * [misc]simplify: iters left: 2 (253 enodes) 1540202090.494 * [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)))))) 1540202090.494 * [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)))))))) 1540202090.494 * [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)))))) 1540202090.494 * * [misc]simplify: iters left: 6 (21 enodes) 1540202090.501 * * [misc]simplify: iters left: 5 (28 enodes) 1540202090.508 * * [misc]simplify: iters left: 4 (39 enodes) 1540202090.513 * * [misc]simplify: iters left: 3 (54 enodes) 1540202090.520 * * [misc]simplify: iters left: 2 (71 enodes) 1540202090.530 * * [misc]simplify: iters left: 1 (88 enodes) 1540202090.545 * [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)))))) 1540202090.545 * [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)))))))) 1540202090.545 * * * * [misc]progress: [ 733 / 6878 ] simplifiying candidate # 1540202090.545 * [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)))))) 1540202090.545 * * [misc]simplify: iters left: 6 (22 enodes) 1540202090.554 * * [misc]simplify: iters left: 5 (32 enodes) 1540202090.564 * * [misc]simplify: iters left: 4 (49 enodes) 1540202090.577 * * [misc]simplify: iters left: 3 (83 enodes) 1540202090.590 * * [misc]simplify: iters left: 2 (136 enodes) 1540202090.623 * * [misc]simplify: iters left: 1 (207 enodes) 1540202090.686 * [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)))))) 1540202090.686 * [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)))))))) 1540202090.687 * [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)))))) 1540202090.687 * * [misc]simplify: iters left: 6 (21 enodes) 1540202090.692 * * [misc]simplify: iters left: 5 (28 enodes) 1540202090.696 * * [misc]simplify: iters left: 4 (39 enodes) 1540202090.701 * * [misc]simplify: iters left: 3 (54 enodes) 1540202090.708 * * [misc]simplify: iters left: 2 (71 enodes) 1540202090.719 * * [misc]simplify: iters left: 1 (88 enodes) 1540202090.743 * [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)))))) 1540202090.743 * [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)))))))) 1540202090.743 * * * * [misc]progress: [ 734 / 6878 ] simplifiying candidate # 1540202090.743 * [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))) 1540202090.743 * * [misc]simplify: iters left: 6 (23 enodes) 1540202090.748 * * [misc]simplify: iters left: 5 (38 enodes) 1540202090.754 * * [misc]simplify: iters left: 4 (73 enodes) 1540202090.768 * * [misc]simplify: iters left: 3 (218 enodes) 1540202090.942 * [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)))))) 1540202090.942 * [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))))))) 1540202090.943 * [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))))) 1540202090.943 * * [misc]simplify: iters left: 6 (21 enodes) 1540202090.950 * * [misc]simplify: iters left: 5 (30 enodes) 1540202090.959 * * [misc]simplify: iters left: 4 (49 enodes) 1540202090.974 * * [misc]simplify: iters left: 3 (97 enodes) 1540202091.011 * * [misc]simplify: iters left: 2 (184 enodes) 1540202091.069 * * [misc]simplify: iters left: 1 (323 enodes) 1540202091.246 * [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)))) 1540202091.246 * [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)))))) 1540202091.246 * * * * [misc]progress: [ 735 / 6878 ] simplifiying candidate # 1540202091.247 * [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))) 1540202091.247 * * [misc]simplify: iters left: 6 (23 enodes) 1540202091.252 * * [misc]simplify: iters left: 5 (38 enodes) 1540202091.258 * * [misc]simplify: iters left: 4 (73 enodes) 1540202091.277 * * [misc]simplify: iters left: 3 (218 enodes) 1540202091.392 * [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)))))) 1540202091.392 * [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))))))) 1540202091.392 * [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))))) 1540202091.392 * * [misc]simplify: iters left: 6 (21 enodes) 1540202091.395 * * [misc]simplify: iters left: 5 (30 enodes) 1540202091.399 * * [misc]simplify: iters left: 4 (49 enodes) 1540202091.410 * * [misc]simplify: iters left: 3 (97 enodes) 1540202091.446 * * [misc]simplify: iters left: 2 (184 enodes) 1540202091.528 * * [misc]simplify: iters left: 1 (323 enodes) 1540202091.678 * [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)))) 1540202091.678 * [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)))))) 1540202091.678 * * * * [misc]progress: [ 736 / 6878 ] simplifiying candidate # 1540202091.679 * [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))))))) 1540202091.679 * * [misc]simplify: iters left: 6 (25 enodes) 1540202091.687 * * [misc]simplify: iters left: 5 (43 enodes) 1540202091.701 * * [misc]simplify: iters left: 4 (98 enodes) 1540202091.723 * * [misc]simplify: iters left: 3 (326 enodes) 1540202092.020 * [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))))))) 1540202092.020 * [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)))))))) 1540202092.020 * [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)))))) 1540202092.020 * * [misc]simplify: iters left: 6 (22 enodes) 1540202092.027 * * [misc]simplify: iters left: 5 (31 enodes) 1540202092.036 * * [misc]simplify: iters left: 4 (50 enodes) 1540202092.052 * * [misc]simplify: iters left: 3 (98 enodes) 1540202092.069 * * [misc]simplify: iters left: 2 (185 enodes) 1540202092.124 * * [misc]simplify: iters left: 1 (321 enodes) 1540202092.266 * [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)))))) 1540202092.266 * [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)))))))) 1540202092.266 * * * * [misc]progress: [ 737 / 6878 ] simplifiying candidate # 1540202092.267 * [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)))))) 1540202092.267 * * [misc]simplify: iters left: 6 (24 enodes) 1540202092.270 * * [misc]simplify: iters left: 5 (38 enodes) 1540202092.276 * * [misc]simplify: iters left: 4 (73 enodes) 1540202092.302 * * [misc]simplify: iters left: 3 (218 enodes) 1540202092.438 * [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))))))) 1540202092.438 * [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)))))))) 1540202092.438 * [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)))))) 1540202092.438 * * [misc]simplify: iters left: 6 (22 enodes) 1540202092.441 * * [misc]simplify: iters left: 5 (31 enodes) 1540202092.446 * * [misc]simplify: iters left: 4 (50 enodes) 1540202092.453 * * [misc]simplify: iters left: 3 (98 enodes) 1540202092.487 * * [misc]simplify: iters left: 2 (185 enodes) 1540202092.542 * * [misc]simplify: iters left: 1 (321 enodes) 1540202092.706 * [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)))))) 1540202092.706 * [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)))))))) 1540202092.706 * * * * [misc]progress: [ 738 / 6878 ] simplifiying candidate # 1540202092.707 * [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)) 1540202092.707 * * [misc]simplify: iters left: 6 (23 enodes) 1540202092.713 * * [misc]simplify: iters left: 5 (39 enodes) 1540202092.719 * * [misc]simplify: iters left: 4 (74 enodes) 1540202092.733 * * [misc]simplify: iters left: 3 (214 enodes) 1540202092.881 * [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)))))) 1540202092.881 * [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))))))) 1540202092.882 * [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))))) 1540202092.882 * * [misc]simplify: iters left: 6 (21 enodes) 1540202092.885 * * [misc]simplify: iters left: 5 (30 enodes) 1540202092.890 * * [misc]simplify: iters left: 4 (49 enodes) 1540202092.907 * * [misc]simplify: iters left: 3 (97 enodes) 1540202092.935 * * [misc]simplify: iters left: 2 (184 enodes) 1540202092.989 * * [misc]simplify: iters left: 1 (323 enodes) 1540202093.111 * [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))))) 1540202093.111 * [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))))))) 1540202093.111 * * * * [misc]progress: [ 739 / 6878 ] simplifiying candidate # 1540202093.111 * [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))) 1540202093.112 * * [misc]simplify: iters left: 6 (20 enodes) 1540202093.119 * * [misc]simplify: iters left: 5 (33 enodes) 1540202093.130 * * [misc]simplify: iters left: 4 (57 enodes) 1540202093.150 * * [misc]simplify: iters left: 3 (130 enodes) 1540202093.180 * * [misc]simplify: iters left: 2 (284 enodes) 1540202093.285 * [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)))))) 1540202093.285 * [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))))))) 1540202093.286 * [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))))) 1540202093.286 * * [misc]simplify: iters left: 6 (19 enodes) 1540202093.292 * * [misc]simplify: iters left: 5 (28 enodes) 1540202093.301 * * [misc]simplify: iters left: 4 (46 enodes) 1540202093.315 * * [misc]simplify: iters left: 3 (91 enodes) 1540202093.347 * * [misc]simplify: iters left: 2 (156 enodes) 1540202093.404 * * [misc]simplify: iters left: 1 (240 enodes) 1540202093.501 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202093.501 * [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))))) 1540202093.501 * * * * [misc]progress: [ 740 / 6878 ] simplifiying candidate # 1540202093.502 * [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))) 1540202093.502 * * [misc]simplify: iters left: 6 (20 enodes) 1540202093.505 * * [misc]simplify: iters left: 5 (33 enodes) 1540202093.511 * * [misc]simplify: iters left: 4 (57 enodes) 1540202093.520 * * [misc]simplify: iters left: 3 (130 enodes) 1540202093.565 * * [misc]simplify: iters left: 2 (284 enodes) 1540202093.721 * [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)))))) 1540202093.721 * [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))))))) 1540202093.722 * [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))))) 1540202093.722 * * [misc]simplify: iters left: 6 (19 enodes) 1540202093.728 * * [misc]simplify: iters left: 5 (28 enodes) 1540202093.739 * * [misc]simplify: iters left: 4 (46 enodes) 1540202093.755 * * [misc]simplify: iters left: 3 (91 enodes) 1540202093.774 * * [misc]simplify: iters left: 2 (156 enodes) 1540202093.820 * * [misc]simplify: iters left: 1 (240 enodes) 1540202093.900 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202093.900 * [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))))) 1540202093.900 * * * * [misc]progress: [ 741 / 6878 ] simplifiying candidate # 1540202093.901 * [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))))))) 1540202093.901 * * [misc]simplify: iters left: 6 (22 enodes) 1540202093.908 * * [misc]simplify: iters left: 5 (36 enodes) 1540202093.920 * * [misc]simplify: iters left: 4 (66 enodes) 1540202093.945 * * [misc]simplify: iters left: 3 (175 enodes) 1540202094.010 * * [misc]simplify: iters left: 2 (491 enodes) 1540202094.498 * [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))))))) 1540202094.498 * [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)))))))) 1540202094.499 * [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)))))) 1540202094.499 * * [misc]simplify: iters left: 6 (20 enodes) 1540202094.504 * * [misc]simplify: iters left: 5 (29 enodes) 1540202094.508 * * [misc]simplify: iters left: 4 (47 enodes) 1540202094.515 * * [misc]simplify: iters left: 3 (92 enodes) 1540202094.532 * * [misc]simplify: iters left: 2 (157 enodes) 1540202094.578 * * [misc]simplify: iters left: 1 (237 enodes) 1540202094.633 * [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)))))) 1540202094.633 * [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)))))))) 1540202094.633 * * * * [misc]progress: [ 742 / 6878 ] simplifiying candidate # 1540202094.633 * [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 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202094.634 * * [misc]simplify: iters left: 6 (21 enodes) 1540202094.641 * * [misc]simplify: iters left: 5 (33 enodes) 1540202094.649 * * [misc]simplify: iters left: 4 (57 enodes) 1540202094.666 * * [misc]simplify: iters left: 3 (130 enodes) 1540202094.696 * * [misc]simplify: iters left: 2 (290 enodes) 1540202094.856 * [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)))))) 1540202094.856 * [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)))))))) 1540202094.856 * [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)))))) 1540202094.856 * * [misc]simplify: iters left: 6 (20 enodes) 1540202094.863 * * [misc]simplify: iters left: 5 (29 enodes) 1540202094.872 * * [misc]simplify: iters left: 4 (47 enodes) 1540202094.887 * * [misc]simplify: iters left: 3 (92 enodes) 1540202094.922 * * [misc]simplify: iters left: 2 (157 enodes) 1540202094.961 * * [misc]simplify: iters left: 1 (237 enodes) 1540202095.018 * [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)))))) 1540202095.018 * [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)))))))) 1540202095.018 * * * * [misc]progress: [ 743 / 6878 ] simplifiying candidate # 1540202095.018 * [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)) 1540202095.018 * * [misc]simplify: iters left: 6 (20 enodes) 1540202095.021 * * [misc]simplify: iters left: 5 (33 enodes) 1540202095.026 * * [misc]simplify: iters left: 4 (59 enodes) 1540202095.036 * * [misc]simplify: iters left: 3 (125 enodes) 1540202095.067 * * [misc]simplify: iters left: 2 (271 enodes) 1540202095.306 * [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))))) 1540202095.306 * [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))))))) 1540202095.306 * [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))))) 1540202095.306 * * [misc]simplify: iters left: 6 (19 enodes) 1540202095.309 * * [misc]simplify: iters left: 5 (28 enodes) 1540202095.313 * * [misc]simplify: iters left: 4 (46 enodes) 1540202095.320 * * [misc]simplify: iters left: 3 (91 enodes) 1540202095.336 * * [misc]simplify: iters left: 2 (156 enodes) 1540202095.380 * * [misc]simplify: iters left: 1 (240 enodes) 1540202095.453 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202095.453 * [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))))) 1540202095.453 * * * * [misc]progress: [ 744 / 6878 ] simplifiying candidate # 1540202095.454 * [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))) 1540202095.454 * * [misc]simplify: iters left: 6 (22 enodes) 1540202095.460 * * [misc]simplify: iters left: 5 (35 enodes) 1540202095.471 * * [misc]simplify: iters left: 4 (60 enodes) 1540202095.492 * * [misc]simplify: iters left: 3 (136 enodes) 1540202095.556 * * [misc]simplify: iters left: 2 (316 enodes) 1540202095.718 * [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)))))) 1540202095.718 * [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))))))) 1540202095.718 * [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))))) 1540202095.718 * * [misc]simplify: iters left: 6 (21 enodes) 1540202095.726 * * [misc]simplify: iters left: 5 (30 enodes) 1540202095.735 * * [misc]simplify: iters left: 4 (49 enodes) 1540202095.748 * * [misc]simplify: iters left: 3 (97 enodes) 1540202095.784 * * [misc]simplify: iters left: 2 (184 enodes) 1540202095.839 * * [misc]simplify: iters left: 1 (323 enodes) 1540202095.982 * [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)))) 1540202095.982 * [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)))))) 1540202095.982 * * * * [misc]progress: [ 745 / 6878 ] simplifiying candidate # 1540202095.983 * [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))) 1540202095.983 * * [misc]simplify: iters left: 6 (22 enodes) 1540202095.988 * * [misc]simplify: iters left: 5 (35 enodes) 1540202095.994 * * [misc]simplify: iters left: 4 (60 enodes) 1540202096.005 * * [misc]simplify: iters left: 3 (136 enodes) 1540202096.066 * * [misc]simplify: iters left: 2 (316 enodes) 1540202096.251 * [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)))))) 1540202096.251 * [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))))))) 1540202096.251 * [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))))) 1540202096.251 * * [misc]simplify: iters left: 6 (21 enodes) 1540202096.254 * * [misc]simplify: iters left: 5 (30 enodes) 1540202096.258 * * [misc]simplify: iters left: 4 (49 enodes) 1540202096.267 * * [misc]simplify: iters left: 3 (97 enodes) 1540202096.285 * * [misc]simplify: iters left: 2 (184 enodes) 1540202096.345 * * [misc]simplify: iters left: 1 (323 enodes) 1540202096.492 * [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)))) 1540202096.492 * [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)))))) 1540202096.492 * * * * [misc]progress: [ 746 / 6878 ] simplifiying candidate # 1540202096.492 * [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))))))) 1540202096.493 * * [misc]simplify: iters left: 6 (24 enodes) 1540202096.500 * * [misc]simplify: iters left: 5 (38 enodes) 1540202096.511 * * [misc]simplify: iters left: 4 (69 enodes) 1540202096.538 * * [misc]simplify: iters left: 3 (181 enodes) 1540202096.629 * [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)))))) 1540202096.629 * [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)))))))) 1540202096.629 * [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)))))) 1540202096.630 * * [misc]simplify: iters left: 6 (22 enodes) 1540202096.636 * * [misc]simplify: iters left: 5 (31 enodes) 1540202096.645 * * [misc]simplify: iters left: 4 (50 enodes) 1540202096.661 * * [misc]simplify: iters left: 3 (98 enodes) 1540202096.698 * * [misc]simplify: iters left: 2 (185 enodes) 1540202096.778 * * [misc]simplify: iters left: 1 (321 enodes) 1540202096.927 * [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)))))) 1540202096.927 * [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)))))))) 1540202096.927 * * * * [misc]progress: [ 747 / 6878 ] simplifiying candidate # 1540202096.928 * [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)))))) 1540202096.928 * * [misc]simplify: iters left: 6 (23 enodes) 1540202096.935 * * [misc]simplify: iters left: 5 (35 enodes) 1540202096.946 * * [misc]simplify: iters left: 4 (60 enodes) 1540202096.966 * * [misc]simplify: iters left: 3 (136 enodes) 1540202097.027 * * [misc]simplify: iters left: 2 (314 enodes) 1540202097.170 * [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))))))) 1540202097.170 * [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)))))))) 1540202097.171 * [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)))))) 1540202097.171 * * [misc]simplify: iters left: 6 (22 enodes) 1540202097.177 * * [misc]simplify: iters left: 5 (31 enodes) 1540202097.188 * * [misc]simplify: iters left: 4 (50 enodes) 1540202097.197 * * [misc]simplify: iters left: 3 (98 enodes) 1540202097.215 * * [misc]simplify: iters left: 2 (185 enodes) 1540202097.291 * * [misc]simplify: iters left: 1 (321 enodes) 1540202097.465 * [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)))))) 1540202097.465 * [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)))))))) 1540202097.466 * * * * [misc]progress: [ 748 / 6878 ] simplifiying candidate # 1540202097.466 * [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)) 1540202097.466 * * [misc]simplify: iters left: 6 (22 enodes) 1540202097.473 * * [misc]simplify: iters left: 5 (36 enodes) 1540202097.485 * * [misc]simplify: iters left: 4 (63 enodes) 1540202097.508 * * [misc]simplify: iters left: 3 (108 enodes) 1540202097.545 * * [misc]simplify: iters left: 2 (254 enodes) 1540202097.660 * [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))))) 1540202097.660 * [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))))))) 1540202097.660 * [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))))) 1540202097.660 * * [misc]simplify: iters left: 6 (21 enodes) 1540202097.663 * * [misc]simplify: iters left: 5 (30 enodes) 1540202097.672 * * [misc]simplify: iters left: 4 (49 enodes) 1540202097.688 * * [misc]simplify: iters left: 3 (97 enodes) 1540202097.709 * * [misc]simplify: iters left: 2 (184 enodes) 1540202097.771 * * [misc]simplify: iters left: 1 (323 enodes) 1540202097.909 * [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))))) 1540202097.909 * [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))))))) 1540202097.909 * * * * [misc]progress: [ 749 / 6878 ] simplifiying candidate # 1540202097.909 * [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))) 1540202097.909 * * [misc]simplify: iters left: 6 (22 enodes) 1540202097.914 * * [misc]simplify: iters left: 5 (37 enodes) 1540202097.919 * * [misc]simplify: iters left: 4 (64 enodes) 1540202097.932 * * [misc]simplify: iters left: 3 (170 enodes) 1540202098.025 * * [misc]simplify: iters left: 2 (467 enodes) 1540202098.415 * [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)))))) 1540202098.416 * [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))))))) 1540202098.416 * [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))))) 1540202098.416 * * [misc]simplify: iters left: 6 (20 enodes) 1540202098.422 * * [misc]simplify: iters left: 5 (29 enodes) 1540202098.430 * * [misc]simplify: iters left: 4 (48 enodes) 1540202098.446 * * [misc]simplify: iters left: 3 (96 enodes) 1540202098.482 * * [misc]simplify: iters left: 2 (183 enodes) 1540202098.542 * * [misc]simplify: iters left: 1 (324 enodes) 1540202098.683 * [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)))) 1540202098.683 * [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)))))) 1540202098.684 * * * * [misc]progress: [ 750 / 6878 ] simplifiying candidate # 1540202098.684 * [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))) 1540202098.684 * * [misc]simplify: iters left: 6 (22 enodes) 1540202098.693 * * [misc]simplify: iters left: 5 (37 enodes) 1540202098.702 * * [misc]simplify: iters left: 4 (64 enodes) 1540202098.715 * * [misc]simplify: iters left: 3 (170 enodes) 1540202098.776 * * [misc]simplify: iters left: 2 (467 enodes) 1540202099.113 * [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)))))) 1540202099.113 * [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))))))) 1540202099.114 * [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))))) 1540202099.114 * * [misc]simplify: iters left: 6 (20 enodes) 1540202099.116 * * [misc]simplify: iters left: 5 (29 enodes) 1540202099.121 * * [misc]simplify: iters left: 4 (48 enodes) 1540202099.128 * * [misc]simplify: iters left: 3 (96 enodes) 1540202099.160 * * [misc]simplify: iters left: 2 (183 enodes) 1540202099.220 * * [misc]simplify: iters left: 1 (324 enodes) 1540202099.395 * [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)))) 1540202099.395 * [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)))))) 1540202099.395 * * * * [misc]progress: [ 751 / 6878 ] simplifiying candidate # 1540202099.395 * [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))))))) 1540202099.395 * * [misc]simplify: iters left: 6 (24 enodes) 1540202099.399 * * [misc]simplify: iters left: 5 (40 enodes) 1540202099.405 * * [misc]simplify: iters left: 4 (74 enodes) 1540202099.428 * * [misc]simplify: iters left: 3 (227 enodes) 1540202099.572 * [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))))))) 1540202099.572 * [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)))))))) 1540202099.573 * [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)))))) 1540202099.573 * * [misc]simplify: iters left: 6 (21 enodes) 1540202099.576 * * [misc]simplify: iters left: 5 (30 enodes) 1540202099.585 * * [misc]simplify: iters left: 4 (49 enodes) 1540202099.601 * * [misc]simplify: iters left: 3 (97 enodes) 1540202099.641 * * [misc]simplify: iters left: 2 (184 enodes) 1540202099.720 * * [misc]simplify: iters left: 1 (323 enodes) 1540202099.865 * [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)))))) 1540202099.865 * [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)))))))) 1540202099.865 * * * * [misc]progress: [ 752 / 6878 ] simplifiying candidate # 1540202099.865 * [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)))))) 1540202099.865 * * [misc]simplify: iters left: 6 (23 enodes) 1540202099.873 * * [misc]simplify: iters left: 5 (37 enodes) 1540202099.884 * * [misc]simplify: iters left: 4 (64 enodes) 1540202099.908 * * [misc]simplify: iters left: 3 (170 enodes) 1540202099.986 * * [misc]simplify: iters left: 2 (453 enodes) 1540202100.323 * [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)))))) 1540202100.323 * [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)))))))) 1540202100.323 * [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)))))) 1540202100.323 * * [misc]simplify: iters left: 6 (21 enodes) 1540202100.329 * * [misc]simplify: iters left: 5 (30 enodes) 1540202100.335 * * [misc]simplify: iters left: 4 (49 enodes) 1540202100.342 * * [misc]simplify: iters left: 3 (97 enodes) 1540202100.360 * * [misc]simplify: iters left: 2 (184 enodes) 1540202100.418 * * [misc]simplify: iters left: 1 (323 enodes) 1540202100.545 * [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)))))) 1540202100.545 * [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)))))))) 1540202100.545 * * * * [misc]progress: [ 753 / 6878 ] simplifiying candidate # 1540202100.545 * [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)) 1540202100.545 * * [misc]simplify: iters left: 6 (21 enodes) 1540202100.549 * * [misc]simplify: iters left: 5 (35 enodes) 1540202100.554 * * [misc]simplify: iters left: 4 (49 enodes) 1540202100.561 * * [misc]simplify: iters left: 3 (84 enodes) 1540202100.576 * * [misc]simplify: iters left: 2 (194 enodes) 1540202100.700 * * [misc]simplify: iters left: 1 (476 enodes) 1540202101.250 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202101.250 * [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))))))) 1540202101.250 * [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))))) 1540202101.250 * * [misc]simplify: iters left: 6 (20 enodes) 1540202101.256 * * [misc]simplify: iters left: 5 (29 enodes) 1540202101.265 * * [misc]simplify: iters left: 4 (48 enodes) 1540202101.280 * * [misc]simplify: iters left: 3 (96 enodes) 1540202101.315 * * [misc]simplify: iters left: 2 (183 enodes) 1540202101.397 * * [misc]simplify: iters left: 1 (324 enodes) 1540202101.529 * [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)))) 1540202101.529 * [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)))))) 1540202101.530 * * * * [misc]progress: [ 754 / 6878 ] simplifiying candidate # 1540202101.530 * [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))) 1540202101.530 * * [misc]simplify: iters left: 6 (22 enodes) 1540202101.534 * * [misc]simplify: iters left: 5 (35 enodes) 1540202101.539 * * [misc]simplify: iters left: 4 (60 enodes) 1540202101.560 * * [misc]simplify: iters left: 3 (136 enodes) 1540202101.625 * * [misc]simplify: iters left: 2 (316 enodes) 1540202101.780 * [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)))))) 1540202101.780 * [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))))))) 1540202101.780 * [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))))) 1540202101.780 * * [misc]simplify: iters left: 6 (21 enodes) 1540202101.783 * * [misc]simplify: iters left: 5 (30 enodes) 1540202101.787 * * [misc]simplify: iters left: 4 (49 enodes) 1540202101.795 * * [misc]simplify: iters left: 3 (97 enodes) 1540202101.812 * * [misc]simplify: iters left: 2 (184 enodes) 1540202101.853 * * [misc]simplify: iters left: 1 (323 enodes) 1540202102.027 * [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)))) 1540202102.027 * [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)))))) 1540202102.027 * * * * [misc]progress: [ 755 / 6878 ] simplifiying candidate # 1540202102.027 * [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))) 1540202102.027 * * [misc]simplify: iters left: 6 (22 enodes) 1540202102.031 * * [misc]simplify: iters left: 5 (35 enodes) 1540202102.036 * * [misc]simplify: iters left: 4 (60 enodes) 1540202102.047 * * [misc]simplify: iters left: 3 (136 enodes) 1540202102.103 * * [misc]simplify: iters left: 2 (316 enodes) 1540202102.270 * [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)))))) 1540202102.270 * [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))))))) 1540202102.270 * [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))))) 1540202102.270 * * [misc]simplify: iters left: 6 (21 enodes) 1540202102.275 * * [misc]simplify: iters left: 5 (30 enodes) 1540202102.282 * * [misc]simplify: iters left: 4 (49 enodes) 1540202102.289 * * [misc]simplify: iters left: 3 (97 enodes) 1540202102.310 * * [misc]simplify: iters left: 2 (184 enodes) 1540202102.390 * * [misc]simplify: iters left: 1 (323 enodes) 1540202102.540 * [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)))) 1540202102.540 * [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)))))) 1540202102.540 * * * * [misc]progress: [ 756 / 6878 ] simplifiying candidate # 1540202102.540 * [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))))))) 1540202102.540 * * [misc]simplify: iters left: 6 (24 enodes) 1540202102.545 * * [misc]simplify: iters left: 5 (38 enodes) 1540202102.551 * * [misc]simplify: iters left: 4 (69 enodes) 1540202102.567 * * [misc]simplify: iters left: 3 (181 enodes) 1540202102.672 * [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)))))) 1540202102.672 * [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)))))))) 1540202102.672 * [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)))))) 1540202102.673 * * [misc]simplify: iters left: 6 (22 enodes) 1540202102.676 * * [misc]simplify: iters left: 5 (31 enodes) 1540202102.685 * * [misc]simplify: iters left: 4 (50 enodes) 1540202102.701 * * [misc]simplify: iters left: 3 (98 enodes) 1540202102.720 * * [misc]simplify: iters left: 2 (185 enodes) 1540202102.777 * * [misc]simplify: iters left: 1 (321 enodes) 1540202102.930 * [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)))))) 1540202102.930 * [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)))))))) 1540202102.931 * * * * [misc]progress: [ 757 / 6878 ] simplifiying candidate # 1540202102.931 * [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)))))) 1540202102.931 * * [misc]simplify: iters left: 6 (23 enodes) 1540202102.937 * * [misc]simplify: iters left: 5 (35 enodes) 1540202102.942 * * [misc]simplify: iters left: 4 (60 enodes) 1540202102.952 * * [misc]simplify: iters left: 3 (136 enodes) 1540202102.982 * * [misc]simplify: iters left: 2 (314 enodes) 1540202103.175 * [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))))))) 1540202103.175 * [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)))))))) 1540202103.175 * [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)))))) 1540202103.175 * * [misc]simplify: iters left: 6 (22 enodes) 1540202103.178 * * [misc]simplify: iters left: 5 (31 enodes) 1540202103.183 * * [misc]simplify: iters left: 4 (50 enodes) 1540202103.191 * * [misc]simplify: iters left: 3 (98 enodes) 1540202103.209 * * [misc]simplify: iters left: 2 (185 enodes) 1540202103.269 * * [misc]simplify: iters left: 1 (321 enodes) 1540202103.426 * [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)))))) 1540202103.426 * [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)))))))) 1540202103.426 * * * * [misc]progress: [ 758 / 6878 ] simplifiying candidate # 1540202103.426 * [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)) 1540202103.426 * * [misc]simplify: iters left: 6 (22 enodes) 1540202103.431 * * [misc]simplify: iters left: 5 (36 enodes) 1540202103.442 * * [misc]simplify: iters left: 4 (63 enodes) 1540202103.462 * * [misc]simplify: iters left: 3 (108 enodes) 1540202103.498 * * [misc]simplify: iters left: 2 (254 enodes) 1540202103.611 * [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))))) 1540202103.611 * [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))))))) 1540202103.611 * [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))))) 1540202103.611 * * [misc]simplify: iters left: 6 (21 enodes) 1540202103.617 * * [misc]simplify: iters left: 5 (30 enodes) 1540202103.627 * * [misc]simplify: iters left: 4 (49 enodes) 1540202103.639 * * [misc]simplify: iters left: 3 (97 enodes) 1540202103.656 * * [misc]simplify: iters left: 2 (184 enodes) 1540202103.728 * * [misc]simplify: iters left: 1 (323 enodes) 1540202103.851 * [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))))) 1540202103.851 * [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))))))) 1540202103.851 * * * * [misc]progress: [ 759 / 6878 ] simplifiying candidate # 1540202103.851 * [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))) 1540202103.852 * * [misc]simplify: iters left: 6 (21 enodes) 1540202103.855 * * [misc]simplify: iters left: 5 (36 enodes) 1540202103.861 * * [misc]simplify: iters left: 4 (59 enodes) 1540202103.873 * * [misc]simplify: iters left: 3 (133 enodes) 1540202103.904 * * [misc]simplify: iters left: 2 (323 enodes) 1540202104.112 * [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)))))) 1540202104.112 * [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))))))) 1540202104.112 * [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))))) 1540202104.112 * * [misc]simplify: iters left: 6 (20 enodes) 1540202104.119 * * [misc]simplify: iters left: 5 (29 enodes) 1540202104.128 * * [misc]simplify: iters left: 4 (48 enodes) 1540202104.136 * * [misc]simplify: iters left: 3 (96 enodes) 1540202104.154 * * [misc]simplify: iters left: 2 (183 enodes) 1540202104.236 * * [misc]simplify: iters left: 1 (324 enodes) 1540202104.382 * [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)))) 1540202104.382 * [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)))))) 1540202104.382 * * * * [misc]progress: [ 760 / 6878 ] simplifiying candidate # 1540202104.382 * [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))) 1540202104.382 * * [misc]simplify: iters left: 6 (21 enodes) 1540202104.386 * * [misc]simplify: iters left: 5 (36 enodes) 1540202104.392 * * [misc]simplify: iters left: 4 (59 enodes) 1540202104.413 * * [misc]simplify: iters left: 3 (133 enodes) 1540202104.449 * * [misc]simplify: iters left: 2 (323 enodes) 1540202104.653 * [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)))))) 1540202104.653 * [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))))))) 1540202104.653 * [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))))) 1540202104.654 * * [misc]simplify: iters left: 6 (20 enodes) 1540202104.660 * * [misc]simplify: iters left: 5 (29 enodes) 1540202104.669 * * [misc]simplify: iters left: 4 (48 enodes) 1540202104.684 * * [misc]simplify: iters left: 3 (96 enodes) 1540202104.716 * * [misc]simplify: iters left: 2 (183 enodes) 1540202104.766 * * [misc]simplify: iters left: 1 (324 enodes) 1540202104.915 * [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)))) 1540202104.915 * [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)))))) 1540202104.915 * * * * [misc]progress: [ 761 / 6878 ] simplifiying candidate # 1540202104.915 * [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))))))) 1540202104.915 * * [misc]simplify: iters left: 6 (23 enodes) 1540202104.918 * * [misc]simplify: iters left: 5 (39 enodes) 1540202104.924 * * [misc]simplify: iters left: 4 (68 enodes) 1540202104.939 * * [misc]simplify: iters left: 3 (187 enodes) 1540202105.044 * [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))))))) 1540202105.044 * [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)))))))) 1540202105.045 * [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)))))) 1540202105.045 * * [misc]simplify: iters left: 6 (21 enodes) 1540202105.051 * * [misc]simplify: iters left: 5 (30 enodes) 1540202105.060 * * [misc]simplify: iters left: 4 (49 enodes) 1540202105.075 * * [misc]simplify: iters left: 3 (97 enodes) 1540202105.097 * * [misc]simplify: iters left: 2 (184 enodes) 1540202105.151 * * [misc]simplify: iters left: 1 (323 enodes) 1540202105.298 * [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)))))) 1540202105.298 * [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)))))))) 1540202105.298 * * * * [misc]progress: [ 762 / 6878 ] simplifiying candidate # 1540202105.299 * [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)))))) 1540202105.299 * * [misc]simplify: iters left: 6 (22 enodes) 1540202105.302 * * [misc]simplify: iters left: 5 (36 enodes) 1540202105.307 * * [misc]simplify: iters left: 4 (59 enodes) 1540202105.328 * * [misc]simplify: iters left: 3 (133 enodes) 1540202105.391 * * [misc]simplify: iters left: 2 (323 enodes) 1540202105.579 * [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)))))) 1540202105.579 * [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)))))))) 1540202105.580 * [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)))))) 1540202105.580 * * [misc]simplify: iters left: 6 (21 enodes) 1540202105.583 * * [misc]simplify: iters left: 5 (30 enodes) 1540202105.587 * * [misc]simplify: iters left: 4 (49 enodes) 1540202105.594 * * [misc]simplify: iters left: 3 (97 enodes) 1540202105.629 * * [misc]simplify: iters left: 2 (184 enodes) 1540202105.679 * * [misc]simplify: iters left: 1 (323 enodes) 1540202105.793 * [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)))))) 1540202105.793 * [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)))))))) 1540202105.793 * * * * [misc]progress: [ 763 / 6878 ] simplifiying candidate # 1540202105.793 * [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)) 1540202105.794 * * [misc]simplify: iters left: 6 (20 enodes) 1540202105.798 * * [misc]simplify: iters left: 5 (32 enodes) 1540202105.802 * * [misc]simplify: iters left: 4 (47 enodes) 1540202105.811 * * [misc]simplify: iters left: 3 (73 enodes) 1540202105.835 * * [misc]simplify: iters left: 2 (122 enodes) 1540202105.883 * * [misc]simplify: iters left: 1 (273 enodes) 1540202106.092 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202106.092 * [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))))))) 1540202106.093 * [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))))) 1540202106.093 * * [misc]simplify: iters left: 6 (20 enodes) 1540202106.096 * * [misc]simplify: iters left: 5 (29 enodes) 1540202106.100 * * [misc]simplify: iters left: 4 (48 enodes) 1540202106.108 * * [misc]simplify: iters left: 3 (96 enodes) 1540202106.127 * * [misc]simplify: iters left: 2 (183 enodes) 1540202106.166 * * [misc]simplify: iters left: 1 (324 enodes) 1540202106.274 * [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)))) 1540202106.274 * [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)))))) 1540202106.274 * * * * [misc]progress: [ 764 / 6878 ] simplifiying candidate # 1540202106.274 * [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) 1540202106.275 * * [misc]simplify: iters left: 6 (19 enodes) 1540202106.280 * * [misc]simplify: iters left: 5 (31 enodes) 1540202106.288 * * [misc]simplify: iters left: 4 (50 enodes) 1540202106.307 * * [misc]simplify: iters left: 3 (81 enodes) 1540202106.325 * * [misc]simplify: iters left: 2 (142 enodes) 1540202106.354 * * [misc]simplify: iters left: 1 (297 enodes) 1540202106.561 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202106.561 * [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))))))) 1540202106.562 * [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))))) 1540202106.562 * * [misc]simplify: iters left: 6 (20 enodes) 1540202106.565 * * [misc]simplify: iters left: 5 (29 enodes) 1540202106.569 * * [misc]simplify: iters left: 4 (48 enodes) 1540202106.576 * * [misc]simplify: iters left: 3 (96 enodes) 1540202106.594 * * [misc]simplify: iters left: 2 (183 enodes) 1540202106.664 * * [misc]simplify: iters left: 1 (324 enodes) 1540202106.851 * [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)))) 1540202106.851 * [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)))))) 1540202106.851 * * * * [misc]progress: [ 765 / 6878 ] simplifiying candidate # 1540202106.851 * [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))) 1540202106.852 * * [misc]simplify: iters left: 6 (19 enodes) 1540202106.857 * * [misc]simplify: iters left: 5 (29 enodes) 1540202106.866 * * [misc]simplify: iters left: 4 (46 enodes) 1540202106.880 * * [misc]simplify: iters left: 3 (80 enodes) 1540202106.907 * * [misc]simplify: iters left: 2 (135 enodes) 1540202106.959 * * [misc]simplify: iters left: 1 (206 enodes) 1540202107.024 * [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))))) 1540202107.024 * [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))))))) 1540202107.025 * [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))))) 1540202107.025 * * [misc]simplify: iters left: 6 (20 enodes) 1540202107.031 * * [misc]simplify: iters left: 5 (31 enodes) 1540202107.040 * * [misc]simplify: iters left: 4 (48 enodes) 1540202107.056 * * [misc]simplify: iters left: 3 (100 enodes) 1540202107.075 * * [misc]simplify: iters left: 2 (208 enodes) 1540202107.161 * [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)))) 1540202107.161 * [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)))))) 1540202107.161 * * * * [misc]progress: [ 766 / 6878 ] simplifiying candidate # 1540202107.161 * [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))) 1540202107.162 * * [misc]simplify: iters left: 6 (21 enodes) 1540202107.169 * * [misc]simplify: iters left: 5 (34 enodes) 1540202107.180 * * [misc]simplify: iters left: 4 (59 enodes) 1540202107.201 * * [misc]simplify: iters left: 3 (135 enodes) 1540202107.240 * * [misc]simplify: iters left: 2 (320 enodes) 1540202107.399 * [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))))) 1540202107.399 * [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))))) 1540202107.399 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202107.400 * * [misc]simplify: iters left: 6 (18 enodes) 1540202107.402 * * [misc]simplify: iters left: 5 (25 enodes) 1540202107.405 * * [misc]simplify: iters left: 4 (36 enodes) 1540202107.410 * * [misc]simplify: iters left: 3 (51 enodes) 1540202107.417 * * [misc]simplify: iters left: 2 (68 enodes) 1540202107.433 * * [misc]simplify: iters left: 1 (85 enodes) 1540202107.457 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (cbrt (sqrt k))) (pow 2 (/ k 2)))) 1540202107.457 * [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)))))) 1540202107.457 * * * * [misc]progress: [ 767 / 6878 ] simplifiying candidate # 1540202107.458 * [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))))))) 1540202107.458 * * [misc]simplify: iters left: 6 (22 enodes) 1540202107.465 * * [misc]simplify: iters left: 5 (32 enodes) 1540202107.474 * * [misc]simplify: iters left: 4 (53 enodes) 1540202107.490 * * [misc]simplify: iters left: 3 (88 enodes) 1540202107.507 * * [misc]simplify: iters left: 2 (135 enodes) 1540202107.531 * * [misc]simplify: iters left: 1 (200 enodes) 1540202107.591 * [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))))))) 1540202107.591 * [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)))))))) 1540202107.591 * [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)))))) 1540202107.591 * * [misc]simplify: iters left: 6 (21 enodes) 1540202107.597 * * [misc]simplify: iters left: 5 (28 enodes) 1540202107.604 * * [misc]simplify: iters left: 4 (39 enodes) 1540202107.610 * * [misc]simplify: iters left: 3 (54 enodes) 1540202107.617 * * [misc]simplify: iters left: 2 (71 enodes) 1540202107.626 * * [misc]simplify: iters left: 1 (88 enodes) 1540202107.641 * [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)))))) 1540202107.641 * [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)))))))) 1540202107.641 * * * * [misc]progress: [ 768 / 6878 ] simplifiying candidate # 1540202107.642 * [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)))))) 1540202107.642 * * [misc]simplify: iters left: 6 (21 enodes) 1540202107.648 * * [misc]simplify: iters left: 5 (29 enodes) 1540202107.656 * * [misc]simplify: iters left: 4 (42 enodes) 1540202107.667 * * [misc]simplify: iters left: 3 (57 enodes) 1540202107.684 * * [misc]simplify: iters left: 2 (74 enodes) 1540202107.693 * * [misc]simplify: iters left: 1 (91 enodes) 1540202107.706 * [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)))))) 1540202107.706 * [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)))))))) 1540202107.706 * [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)))))) 1540202107.706 * * [misc]simplify: iters left: 6 (21 enodes) 1540202107.709 * * [misc]simplify: iters left: 5 (28 enodes) 1540202107.714 * * [misc]simplify: iters left: 4 (39 enodes) 1540202107.725 * * [misc]simplify: iters left: 3 (54 enodes) 1540202107.740 * * [misc]simplify: iters left: 2 (71 enodes) 1540202107.760 * * [misc]simplify: iters left: 1 (88 enodes) 1540202107.785 * [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)))))) 1540202107.785 * [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)))))))) 1540202107.786 * * * * [misc]progress: [ 769 / 6878 ] simplifiying candidate # 1540202107.786 * [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))) 1540202107.786 * * [misc]simplify: iters left: 6 (22 enodes) 1540202107.791 * * [misc]simplify: iters left: 5 (35 enodes) 1540202107.796 * * [misc]simplify: iters left: 4 (66 enodes) 1540202107.808 * * [misc]simplify: iters left: 3 (168 enodes) 1540202107.872 * * [misc]simplify: iters left: 2 (418 enodes) 1540202108.219 * [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))))) 1540202108.219 * [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))))))) 1540202108.220 * [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))))) 1540202108.220 * * [misc]simplify: iters left: 6 (21 enodes) 1540202108.226 * * [misc]simplify: iters left: 5 (30 enodes) 1540202108.235 * * [misc]simplify: iters left: 4 (49 enodes) 1540202108.248 * * [misc]simplify: iters left: 3 (97 enodes) 1540202108.268 * * [misc]simplify: iters left: 2 (184 enodes) 1540202108.307 * * [misc]simplify: iters left: 1 (323 enodes) 1540202108.426 * [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)))) 1540202108.426 * [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)))))) 1540202108.426 * * * * [misc]progress: [ 770 / 6878 ] simplifiying candidate # 1540202108.426 * [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))) 1540202108.426 * * [misc]simplify: iters left: 6 (22 enodes) 1540202108.430 * * [misc]simplify: iters left: 5 (35 enodes) 1540202108.436 * * [misc]simplify: iters left: 4 (66 enodes) 1540202108.452 * * [misc]simplify: iters left: 3 (168 enodes) 1540202108.923 * * [misc]simplify: iters left: 2 (418 enodes) 1540202109.215 * [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))))) 1540202109.215 * [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))))))) 1540202109.215 * [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))))) 1540202109.215 * * [misc]simplify: iters left: 6 (21 enodes) 1540202109.218 * * [misc]simplify: iters left: 5 (30 enodes) 1540202109.222 * * [misc]simplify: iters left: 4 (49 enodes) 1540202109.231 * * [misc]simplify: iters left: 3 (97 enodes) 1540202109.267 * * [misc]simplify: iters left: 2 (184 enodes) 1540202109.316 * * [misc]simplify: iters left: 1 (323 enodes) 1540202109.454 * [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)))) 1540202109.454 * [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)))))) 1540202109.454 * * * * [misc]progress: [ 771 / 6878 ] simplifiying candidate # 1540202109.454 * [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))))))) 1540202109.455 * * [misc]simplify: iters left: 6 (24 enodes) 1540202109.462 * * [misc]simplify: iters left: 5 (40 enodes) 1540202109.475 * * [misc]simplify: iters left: 4 (91 enodes) 1540202109.513 * * [misc]simplify: iters left: 3 (263 enodes) 1540202109.669 * [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)))))) 1540202109.669 * [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)))))))) 1540202109.669 * [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)))))) 1540202109.670 * * [misc]simplify: iters left: 6 (22 enodes) 1540202109.673 * * [misc]simplify: iters left: 5 (31 enodes) 1540202109.677 * * [misc]simplify: iters left: 4 (50 enodes) 1540202109.685 * * [misc]simplify: iters left: 3 (98 enodes) 1540202109.710 * * [misc]simplify: iters left: 2 (185 enodes) 1540202109.784 * * [misc]simplify: iters left: 1 (321 enodes) 1540202109.924 * [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)))))) 1540202109.924 * [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)))))))) 1540202109.924 * * * * [misc]progress: [ 772 / 6878 ] simplifiying candidate # 1540202109.924 * [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)))))) 1540202109.924 * * [misc]simplify: iters left: 6 (23 enodes) 1540202109.928 * * [misc]simplify: iters left: 5 (35 enodes) 1540202109.933 * * [misc]simplify: iters left: 4 (66 enodes) 1540202109.944 * * [misc]simplify: iters left: 3 (168 enodes) 1540202110.005 * * [misc]simplify: iters left: 2 (419 enodes) 1540202110.267 * [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)))))) 1540202110.268 * [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)))))))) 1540202110.268 * [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)))))) 1540202110.268 * * [misc]simplify: iters left: 6 (22 enodes) 1540202110.274 * * [misc]simplify: iters left: 5 (31 enodes) 1540202110.283 * * [misc]simplify: iters left: 4 (50 enodes) 1540202110.291 * * [misc]simplify: iters left: 3 (98 enodes) 1540202110.312 * * [misc]simplify: iters left: 2 (185 enodes) 1540202110.367 * * [misc]simplify: iters left: 1 (321 enodes) 1540202110.568 * [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)))))) 1540202110.568 * [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)))))))) 1540202110.568 * * * * [misc]progress: [ 773 / 6878 ] simplifiying candidate # 1540202110.569 * [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)) 1540202110.569 * * [misc]simplify: iters left: 6 (22 enodes) 1540202110.573 * * [misc]simplify: iters left: 5 (36 enodes) 1540202110.579 * * [misc]simplify: iters left: 4 (67 enodes) 1540202110.590 * * [misc]simplify: iters left: 3 (163 enodes) 1540202110.673 * [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))))) 1540202110.673 * [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))))))) 1540202110.674 * [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))))) 1540202110.674 * * [misc]simplify: iters left: 6 (21 enodes) 1540202110.677 * * [misc]simplify: iters left: 5 (30 enodes) 1540202110.681 * * [misc]simplify: iters left: 4 (49 enodes) 1540202110.692 * * [misc]simplify: iters left: 3 (97 enodes) 1540202110.716 * * [misc]simplify: iters left: 2 (184 enodes) 1540202110.768 * * [misc]simplify: iters left: 1 (323 enodes) 1540202110.926 * [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))))) 1540202110.926 * [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))))))) 1540202110.926 * * * * [misc]progress: [ 774 / 6878 ] simplifiying candidate # 1540202110.927 * [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))) 1540202110.927 * * [misc]simplify: iters left: 6 (19 enodes) 1540202110.930 * * [misc]simplify: iters left: 5 (30 enodes) 1540202110.935 * * [misc]simplify: iters left: 4 (50 enodes) 1540202110.945 * * [misc]simplify: iters left: 3 (95 enodes) 1540202110.962 * * [misc]simplify: iters left: 2 (160 enodes) 1540202110.995 * * [misc]simplify: iters left: 1 (257 enodes) 1540202111.099 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202111.099 * [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))))))) 1540202111.099 * [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))))) 1540202111.099 * * [misc]simplify: iters left: 6 (19 enodes) 1540202111.103 * * [misc]simplify: iters left: 5 (28 enodes) 1540202111.107 * * [misc]simplify: iters left: 4 (46 enodes) 1540202111.114 * * [misc]simplify: iters left: 3 (91 enodes) 1540202111.133 * * [misc]simplify: iters left: 2 (156 enodes) 1540202111.198 * * [misc]simplify: iters left: 1 (240 enodes) 1540202111.316 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202111.316 * [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))))) 1540202111.316 * * * * [misc]progress: [ 775 / 6878 ] simplifiying candidate # 1540202111.316 * [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))) 1540202111.317 * * [misc]simplify: iters left: 6 (19 enodes) 1540202111.325 * * [misc]simplify: iters left: 5 (30 enodes) 1540202111.335 * * [misc]simplify: iters left: 4 (50 enodes) 1540202111.353 * * [misc]simplify: iters left: 3 (95 enodes) 1540202111.386 * * [misc]simplify: iters left: 2 (160 enodes) 1540202111.427 * * [misc]simplify: iters left: 1 (257 enodes) 1540202111.519 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202111.519 * [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))))))) 1540202111.520 * [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))))) 1540202111.520 * * [misc]simplify: iters left: 6 (19 enodes) 1540202111.522 * * [misc]simplify: iters left: 5 (28 enodes) 1540202111.526 * * [misc]simplify: iters left: 4 (46 enodes) 1540202111.533 * * [misc]simplify: iters left: 3 (91 enodes) 1540202111.552 * * [misc]simplify: iters left: 2 (156 enodes) 1540202111.618 * * [misc]simplify: iters left: 1 (240 enodes) 1540202111.677 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202111.677 * [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))))) 1540202111.677 * * * * [misc]progress: [ 776 / 6878 ] simplifiying candidate # 1540202111.677 * [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))))))) 1540202111.677 * * [misc]simplify: iters left: 6 (21 enodes) 1540202111.680 * * [misc]simplify: iters left: 5 (33 enodes) 1540202111.685 * * [misc]simplify: iters left: 4 (59 enodes) 1540202111.701 * * [misc]simplify: iters left: 3 (135 enodes) 1540202111.748 * * [misc]simplify: iters left: 2 (301 enodes) 1540202111.903 * [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)))))) 1540202111.903 * [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)))))))) 1540202111.903 * [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)))))) 1540202111.903 * * [misc]simplify: iters left: 6 (20 enodes) 1540202111.906 * * [misc]simplify: iters left: 5 (29 enodes) 1540202111.912 * * [misc]simplify: iters left: 4 (47 enodes) 1540202111.919 * * [misc]simplify: iters left: 3 (92 enodes) 1540202111.941 * * [misc]simplify: iters left: 2 (157 enodes) 1540202111.982 * * [misc]simplify: iters left: 1 (237 enodes) 1540202112.049 * [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)))))) 1540202112.049 * [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)))))))) 1540202112.049 * * * * [misc]progress: [ 777 / 6878 ] simplifiying candidate # 1540202112.049 * [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)))))) 1540202112.049 * * [misc]simplify: iters left: 6 (20 enodes) 1540202112.052 * * [misc]simplify: iters left: 5 (30 enodes) 1540202112.056 * * [misc]simplify: iters left: 4 (50 enodes) 1540202112.070 * * [misc]simplify: iters left: 3 (95 enodes) 1540202112.103 * * [misc]simplify: iters left: 2 (160 enodes) 1540202112.136 * * [misc]simplify: iters left: 1 (256 enodes) 1540202112.269 * [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)))) 1540202112.269 * [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)))))))) 1540202112.269 * [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)))))) 1540202112.269 * * [misc]simplify: iters left: 6 (20 enodes) 1540202112.277 * * [misc]simplify: iters left: 5 (29 enodes) 1540202112.286 * * [misc]simplify: iters left: 4 (47 enodes) 1540202112.301 * * [misc]simplify: iters left: 3 (92 enodes) 1540202112.321 * * [misc]simplify: iters left: 2 (157 enodes) 1540202112.370 * * [misc]simplify: iters left: 1 (237 enodes) 1540202112.426 * [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)))))) 1540202112.426 * [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)))))))) 1540202112.426 * * * * [misc]progress: [ 778 / 6878 ] simplifiying candidate # 1540202112.427 * [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)) 1540202112.427 * * [misc]simplify: iters left: 6 (19 enodes) 1540202112.433 * * [misc]simplify: iters left: 5 (30 enodes) 1540202112.442 * * [misc]simplify: iters left: 4 (50 enodes) 1540202112.459 * * [misc]simplify: iters left: 3 (88 enodes) 1540202112.494 * * [misc]simplify: iters left: 2 (158 enodes) 1540202112.553 * * [misc]simplify: iters left: 1 (279 enodes) 1540202112.675 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202112.675 * [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))))))) 1540202112.675 * [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))))) 1540202112.676 * * [misc]simplify: iters left: 6 (19 enodes) 1540202112.681 * * [misc]simplify: iters left: 5 (28 enodes) 1540202112.686 * * [misc]simplify: iters left: 4 (46 enodes) 1540202112.694 * * [misc]simplify: iters left: 3 (91 enodes) 1540202112.711 * * [misc]simplify: iters left: 2 (156 enodes) 1540202112.757 * * [misc]simplify: iters left: 1 (240 enodes) 1540202112.863 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202112.863 * [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))))) 1540202112.863 * * * * [misc]progress: [ 779 / 6878 ] simplifiying candidate # 1540202112.864 * [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))) 1540202112.864 * * [misc]simplify: iters left: 6 (21 enodes) 1540202112.871 * * [misc]simplify: iters left: 5 (32 enodes) 1540202112.881 * * [misc]simplify: iters left: 4 (53 enodes) 1540202112.891 * * [misc]simplify: iters left: 3 (101 enodes) 1540202112.911 * * [misc]simplify: iters left: 2 (188 enodes) 1540202112.952 * * [misc]simplify: iters left: 1 (325 enodes) 1540202113.093 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202113.093 * [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))))))) 1540202113.093 * [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))))) 1540202113.093 * * [misc]simplify: iters left: 6 (21 enodes) 1540202113.100 * * [misc]simplify: iters left: 5 (30 enodes) 1540202113.109 * * [misc]simplify: iters left: 4 (49 enodes) 1540202113.124 * * [misc]simplify: iters left: 3 (97 enodes) 1540202113.163 * * [misc]simplify: iters left: 2 (184 enodes) 1540202113.244 * * [misc]simplify: iters left: 1 (323 enodes) 1540202113.420 * [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)))) 1540202113.421 * [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)))))) 1540202113.421 * * * * [misc]progress: [ 780 / 6878 ] simplifiying candidate # 1540202113.421 * [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))) 1540202113.421 * * [misc]simplify: iters left: 6 (21 enodes) 1540202113.426 * * [misc]simplify: iters left: 5 (32 enodes) 1540202113.434 * * [misc]simplify: iters left: 4 (53 enodes) 1540202113.442 * * [misc]simplify: iters left: 3 (101 enodes) 1540202113.471 * * [misc]simplify: iters left: 2 (188 enodes) 1540202113.533 * * [misc]simplify: iters left: 1 (325 enodes) 1540202113.700 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202113.700 * [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))))))) 1540202113.700 * [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))))) 1540202113.701 * * [misc]simplify: iters left: 6 (21 enodes) 1540202113.705 * * [misc]simplify: iters left: 5 (30 enodes) 1540202113.709 * * [misc]simplify: iters left: 4 (49 enodes) 1540202113.717 * * [misc]simplify: iters left: 3 (97 enodes) 1540202113.740 * * [misc]simplify: iters left: 2 (184 enodes) 1540202113.792 * * [misc]simplify: iters left: 1 (323 enodes) 1540202113.959 * [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)))) 1540202113.959 * [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)))))) 1540202113.959 * * * * [misc]progress: [ 781 / 6878 ] simplifiying candidate # 1540202113.959 * [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))))))) 1540202113.960 * * [misc]simplify: iters left: 6 (23 enodes) 1540202113.967 * * [misc]simplify: iters left: 5 (35 enodes) 1540202113.978 * * [misc]simplify: iters left: 4 (62 enodes) 1540202114.001 * * [misc]simplify: iters left: 3 (141 enodes) 1540202114.038 * * [misc]simplify: iters left: 2 (337 enodes) 1540202114.265 * [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))))) 1540202114.265 * [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)))))))) 1540202114.266 * [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)))))) 1540202114.266 * * [misc]simplify: iters left: 6 (22 enodes) 1540202114.273 * * [misc]simplify: iters left: 5 (31 enodes) 1540202114.282 * * [misc]simplify: iters left: 4 (50 enodes) 1540202114.299 * * [misc]simplify: iters left: 3 (98 enodes) 1540202114.325 * * [misc]simplify: iters left: 2 (185 enodes) 1540202114.371 * * [misc]simplify: iters left: 1 (321 enodes) 1540202114.505 * [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)))))) 1540202114.505 * [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)))))))) 1540202114.505 * * * * [misc]progress: [ 782 / 6878 ] simplifiying candidate # 1540202114.505 * [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)))))) 1540202114.506 * * [misc]simplify: iters left: 6 (22 enodes) 1540202114.509 * * [misc]simplify: iters left: 5 (32 enodes) 1540202114.513 * * [misc]simplify: iters left: 4 (53 enodes) 1540202114.527 * * [misc]simplify: iters left: 3 (101 enodes) 1540202114.552 * * [misc]simplify: iters left: 2 (188 enodes) 1540202114.604 * * [misc]simplify: iters left: 1 (325 enodes) 1540202114.733 * [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))))) 1540202114.734 * [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)))))))) 1540202114.734 * [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)))))) 1540202114.734 * * [misc]simplify: iters left: 6 (22 enodes) 1540202114.737 * * [misc]simplify: iters left: 5 (31 enodes) 1540202114.742 * * [misc]simplify: iters left: 4 (50 enodes) 1540202114.749 * * [misc]simplify: iters left: 3 (98 enodes) 1540202114.768 * * [misc]simplify: iters left: 2 (185 enodes) 1540202114.844 * * [misc]simplify: iters left: 1 (321 enodes) 1540202114.988 * [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)))))) 1540202114.988 * [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)))))))) 1540202114.988 * * * * [misc]progress: [ 783 / 6878 ] simplifiying candidate # 1540202114.989 * [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)) 1540202114.989 * * [misc]simplify: iters left: 6 (21 enodes) 1540202114.995 * * [misc]simplify: iters left: 5 (33 enodes) 1540202115.005 * * [misc]simplify: iters left: 4 (56 enodes) 1540202115.022 * * [misc]simplify: iters left: 3 (82 enodes) 1540202115.045 * * [misc]simplify: iters left: 2 (144 enodes) 1540202115.102 * * [misc]simplify: iters left: 1 (302 enodes) 1540202115.308 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) 1540202115.308 * [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))))))) 1540202115.309 * [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))))) 1540202115.309 * * [misc]simplify: iters left: 6 (21 enodes) 1540202115.314 * * [misc]simplify: iters left: 5 (30 enodes) 1540202115.323 * * [misc]simplify: iters left: 4 (49 enodes) 1540202115.339 * * [misc]simplify: iters left: 3 (97 enodes) 1540202115.361 * * [misc]simplify: iters left: 2 (184 enodes) 1540202115.403 * * [misc]simplify: iters left: 1 (323 enodes) 1540202115.587 * [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))))) 1540202115.587 * [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))))))) 1540202115.587 * * * * [misc]progress: [ 784 / 6878 ] simplifiying candidate # 1540202115.587 * [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))) 1540202115.588 * * [misc]simplify: iters left: 6 (21 enodes) 1540202115.593 * * [misc]simplify: iters left: 5 (34 enodes) 1540202115.598 * * [misc]simplify: iters left: 4 (57 enodes) 1540202115.612 * * [misc]simplify: iters left: 3 (120 enodes) 1540202115.653 * * [misc]simplify: iters left: 2 (265 enodes) 1540202115.796 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202115.796 * [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))))))) 1540202115.797 * [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))))) 1540202115.797 * * [misc]simplify: iters left: 6 (20 enodes) 1540202115.803 * * [misc]simplify: iters left: 5 (29 enodes) 1540202115.811 * * [misc]simplify: iters left: 4 (48 enodes) 1540202115.826 * * [misc]simplify: iters left: 3 (96 enodes) 1540202115.862 * * [misc]simplify: iters left: 2 (183 enodes) 1540202115.933 * * [misc]simplify: iters left: 1 (324 enodes) 1540202116.053 * [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)))) 1540202116.053 * [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)))))) 1540202116.053 * * * * [misc]progress: [ 785 / 6878 ] simplifiying candidate # 1540202116.053 * [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))) 1540202116.053 * * [misc]simplify: iters left: 6 (21 enodes) 1540202116.061 * * [misc]simplify: iters left: 5 (34 enodes) 1540202116.070 * * [misc]simplify: iters left: 4 (57 enodes) 1540202116.088 * * [misc]simplify: iters left: 3 (120 enodes) 1540202116.124 * * [misc]simplify: iters left: 2 (265 enodes) 1540202116.254 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202116.254 * [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))))))) 1540202116.254 * [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))))) 1540202116.254 * * [misc]simplify: iters left: 6 (20 enodes) 1540202116.260 * * [misc]simplify: iters left: 5 (29 enodes) 1540202116.269 * * [misc]simplify: iters left: 4 (48 enodes) 1540202116.280 * * [misc]simplify: iters left: 3 (96 enodes) 1540202116.298 * * [misc]simplify: iters left: 2 (183 enodes) 1540202116.338 * * [misc]simplify: iters left: 1 (324 enodes) 1540202116.483 * [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)))) 1540202116.483 * [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)))))) 1540202116.483 * * * * [misc]progress: [ 786 / 6878 ] simplifiying candidate # 1540202116.483 * [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))))))) 1540202116.484 * * [misc]simplify: iters left: 6 (23 enodes) 1540202116.488 * * [misc]simplify: iters left: 5 (37 enodes) 1540202116.493 * * [misc]simplify: iters left: 4 (67 enodes) 1540202116.506 * * [misc]simplify: iters left: 3 (179 enodes) 1540202116.593 * * [misc]simplify: iters left: 2 (445 enodes) 1540202116.904 * [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)))))) 1540202116.904 * [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)))))))) 1540202116.904 * [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)))))) 1540202116.904 * * [misc]simplify: iters left: 6 (21 enodes) 1540202116.907 * * [misc]simplify: iters left: 5 (30 enodes) 1540202116.911 * * [misc]simplify: iters left: 4 (49 enodes) 1540202116.926 * * [misc]simplify: iters left: 3 (97 enodes) 1540202116.955 * * [misc]simplify: iters left: 2 (184 enodes) 1540202117.038 * * [misc]simplify: iters left: 1 (323 enodes) 1540202117.208 * [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)))))) 1540202117.208 * [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)))))))) 1540202117.208 * * * * [misc]progress: [ 787 / 6878 ] simplifiying candidate # 1540202117.208 * [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)))))) 1540202117.209 * * [misc]simplify: iters left: 6 (22 enodes) 1540202117.216 * * [misc]simplify: iters left: 5 (34 enodes) 1540202117.226 * * [misc]simplify: iters left: 4 (57 enodes) 1540202117.239 * * [misc]simplify: iters left: 3 (120 enodes) 1540202117.266 * * [misc]simplify: iters left: 2 (264 enodes) 1540202117.405 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540202117.405 * [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)))))))) 1540202117.406 * [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)))))) 1540202117.406 * * [misc]simplify: iters left: 6 (21 enodes) 1540202117.409 * * [misc]simplify: iters left: 5 (30 enodes) 1540202117.413 * * [misc]simplify: iters left: 4 (49 enodes) 1540202117.421 * * [misc]simplify: iters left: 3 (97 enodes) 1540202117.447 * * [misc]simplify: iters left: 2 (184 enodes) 1540202117.528 * * [misc]simplify: iters left: 1 (323 enodes) 1540202117.655 * [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)))))) 1540202117.655 * [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)))))))) 1540202117.655 * * * * [misc]progress: [ 788 / 6878 ] simplifiying candidate # 1540202117.655 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540202117.655 * * [misc]simplify: iters left: 6 (20 enodes) 1540202117.663 * * [misc]simplify: iters left: 5 (32 enodes) 1540202117.672 * * [misc]simplify: iters left: 4 (43 enodes) 1540202117.685 * * [misc]simplify: iters left: 3 (65 enodes) 1540202117.703 * * [misc]simplify: iters left: 2 (104 enodes) 1540202117.731 * * [misc]simplify: iters left: 1 (184 enodes) 1540202117.808 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540202117.808 * [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))))))) 1540202117.809 * [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))))) 1540202117.809 * * [misc]simplify: iters left: 6 (20 enodes) 1540202117.815 * * [misc]simplify: iters left: 5 (29 enodes) 1540202117.823 * * [misc]simplify: iters left: 4 (48 enodes) 1540202117.839 * * [misc]simplify: iters left: 3 (96 enodes) 1540202117.870 * * [misc]simplify: iters left: 2 (183 enodes) 1540202117.928 * * [misc]simplify: iters left: 1 (324 enodes) 1540202118.111 * [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)))) 1540202118.111 * [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)))))) 1540202118.112 * * * * [misc]progress: [ 789 / 6878 ] simplifiying candidate # 1540202118.112 * [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))) 1540202118.112 * * [misc]simplify: iters left: 6 (21 enodes) 1540202118.120 * * [misc]simplify: iters left: 5 (32 enodes) 1540202118.133 * * [misc]simplify: iters left: 4 (53 enodes) 1540202118.151 * * [misc]simplify: iters left: 3 (101 enodes) 1540202118.173 * * [misc]simplify: iters left: 2 (188 enodes) 1540202118.238 * * [misc]simplify: iters left: 1 (325 enodes) 1540202118.375 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202118.375 * [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))))))) 1540202118.375 * [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))))) 1540202118.375 * * [misc]simplify: iters left: 6 (21 enodes) 1540202118.378 * * [misc]simplify: iters left: 5 (30 enodes) 1540202118.384 * * [misc]simplify: iters left: 4 (49 enodes) 1540202118.391 * * [misc]simplify: iters left: 3 (97 enodes) 1540202118.414 * * [misc]simplify: iters left: 2 (184 enodes) 1540202118.479 * * [misc]simplify: iters left: 1 (323 enodes) 1540202118.609 * [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)))) 1540202118.609 * [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)))))) 1540202118.609 * * * * [misc]progress: [ 790 / 6878 ] simplifiying candidate # 1540202118.609 * [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))) 1540202118.609 * * [misc]simplify: iters left: 6 (21 enodes) 1540202118.613 * * [misc]simplify: iters left: 5 (32 enodes) 1540202118.619 * * [misc]simplify: iters left: 4 (53 enodes) 1540202118.629 * * [misc]simplify: iters left: 3 (101 enodes) 1540202118.653 * * [misc]simplify: iters left: 2 (188 enodes) 1540202118.707 * * [misc]simplify: iters left: 1 (325 enodes) 1540202118.842 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202118.842 * [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))))))) 1540202118.842 * [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))))) 1540202118.842 * * [misc]simplify: iters left: 6 (21 enodes) 1540202118.845 * * [misc]simplify: iters left: 5 (30 enodes) 1540202118.851 * * [misc]simplify: iters left: 4 (49 enodes) 1540202118.858 * * [misc]simplify: iters left: 3 (97 enodes) 1540202118.893 * * [misc]simplify: iters left: 2 (184 enodes) 1540202118.951 * * [misc]simplify: iters left: 1 (323 enodes) 1540202119.103 * [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)))) 1540202119.103 * [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)))))) 1540202119.103 * * * * [misc]progress: [ 791 / 6878 ] simplifiying candidate # 1540202119.104 * [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))))))) 1540202119.104 * * [misc]simplify: iters left: 6 (23 enodes) 1540202119.111 * * [misc]simplify: iters left: 5 (35 enodes) 1540202119.125 * * [misc]simplify: iters left: 4 (62 enodes) 1540202119.143 * * [misc]simplify: iters left: 3 (141 enodes) 1540202119.185 * * [misc]simplify: iters left: 2 (337 enodes) 1540202119.406 * [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))))) 1540202119.406 * [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)))))))) 1540202119.407 * [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)))))) 1540202119.407 * * [misc]simplify: iters left: 6 (22 enodes) 1540202119.410 * * [misc]simplify: iters left: 5 (31 enodes) 1540202119.414 * * [misc]simplify: iters left: 4 (50 enodes) 1540202119.422 * * [misc]simplify: iters left: 3 (98 enodes) 1540202119.459 * * [misc]simplify: iters left: 2 (185 enodes) 1540202119.534 * * [misc]simplify: iters left: 1 (321 enodes) 1540202119.649 * [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)))))) 1540202119.649 * [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)))))))) 1540202119.649 * * * * [misc]progress: [ 792 / 6878 ] simplifiying candidate # 1540202119.650 * [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)))))) 1540202119.650 * * [misc]simplify: iters left: 6 (22 enodes) 1540202119.653 * * [misc]simplify: iters left: 5 (32 enodes) 1540202119.657 * * [misc]simplify: iters left: 4 (53 enodes) 1540202119.667 * * [misc]simplify: iters left: 3 (101 enodes) 1540202119.704 * * [misc]simplify: iters left: 2 (188 enodes) 1540202119.751 * * [misc]simplify: iters left: 1 (325 enodes) 1540202119.880 * [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))))) 1540202119.880 * [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)))))))) 1540202119.880 * [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)))))) 1540202119.880 * * [misc]simplify: iters left: 6 (22 enodes) 1540202119.885 * * [misc]simplify: iters left: 5 (31 enodes) 1540202119.889 * * [misc]simplify: iters left: 4 (50 enodes) 1540202119.897 * * [misc]simplify: iters left: 3 (98 enodes) 1540202119.915 * * [misc]simplify: iters left: 2 (185 enodes) 1540202119.955 * * [misc]simplify: iters left: 1 (321 enodes) 1540202120.069 * [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)))))) 1540202120.069 * [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)))))))) 1540202120.069 * * * * [misc]progress: [ 793 / 6878 ] simplifiying candidate # 1540202120.069 * [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)) 1540202120.070 * * [misc]simplify: iters left: 6 (21 enodes) 1540202120.073 * * [misc]simplify: iters left: 5 (33 enodes) 1540202120.080 * * [misc]simplify: iters left: 4 (56 enodes) 1540202120.096 * * [misc]simplify: iters left: 3 (82 enodes) 1540202120.111 * * [misc]simplify: iters left: 2 (144 enodes) 1540202120.155 * * [misc]simplify: iters left: 1 (302 enodes) 1540202120.322 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) 1540202120.322 * [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))))))) 1540202120.322 * [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))))) 1540202120.322 * * [misc]simplify: iters left: 6 (21 enodes) 1540202120.325 * * [misc]simplify: iters left: 5 (30 enodes) 1540202120.329 * * [misc]simplify: iters left: 4 (49 enodes) 1540202120.336 * * [misc]simplify: iters left: 3 (97 enodes) 1540202120.356 * * [misc]simplify: iters left: 2 (184 enodes) 1540202120.422 * * [misc]simplify: iters left: 1 (323 enodes) 1540202120.587 * [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))))) 1540202120.587 * [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))))))) 1540202120.587 * * * * [misc]progress: [ 794 / 6878 ] simplifiying candidate # 1540202120.587 * [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))) 1540202120.587 * * [misc]simplify: iters left: 6 (20 enodes) 1540202120.591 * * [misc]simplify: iters left: 5 (33 enodes) 1540202120.601 * * [misc]simplify: iters left: 4 (52 enodes) 1540202120.618 * * [misc]simplify: iters left: 3 (104 enodes) 1540202120.642 * * [misc]simplify: iters left: 2 (189 enodes) 1540202120.730 * * [misc]simplify: iters left: 1 (395 enodes) 1540202121.051 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k))))) 1540202121.051 * [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))))))) 1540202121.052 * [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))))) 1540202121.052 * * [misc]simplify: iters left: 6 (20 enodes) 1540202121.058 * * [misc]simplify: iters left: 5 (29 enodes) 1540202121.067 * * [misc]simplify: iters left: 4 (48 enodes) 1540202121.074 * * [misc]simplify: iters left: 3 (96 enodes) 1540202121.092 * * [misc]simplify: iters left: 2 (183 enodes) 1540202121.133 * * [misc]simplify: iters left: 1 (324 enodes) 1540202121.321 * [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)))) 1540202121.321 * [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)))))) 1540202121.321 * * * * [misc]progress: [ 795 / 6878 ] simplifiying candidate # 1540202121.322 * [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))) 1540202121.322 * * [misc]simplify: iters left: 6 (20 enodes) 1540202121.325 * * [misc]simplify: iters left: 5 (33 enodes) 1540202121.331 * * [misc]simplify: iters left: 4 (52 enodes) 1540202121.343 * * [misc]simplify: iters left: 3 (104 enodes) 1540202121.382 * * [misc]simplify: iters left: 2 (189 enodes) 1540202121.457 * * [misc]simplify: iters left: 1 (395 enodes) 1540202121.767 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k))))) 1540202121.767 * [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))))))) 1540202121.768 * [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))))) 1540202121.768 * * [misc]simplify: iters left: 6 (20 enodes) 1540202121.774 * * [misc]simplify: iters left: 5 (29 enodes) 1540202121.783 * * [misc]simplify: iters left: 4 (48 enodes) 1540202121.791 * * [misc]simplify: iters left: 3 (96 enodes) 1540202121.813 * * [misc]simplify: iters left: 2 (183 enodes) 1540202121.892 * * [misc]simplify: iters left: 1 (324 enodes) 1540202121.998 * [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)))) 1540202121.998 * [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)))))) 1540202121.998 * * * * [misc]progress: [ 796 / 6878 ] simplifiying candidate # 1540202121.999 * [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))))))) 1540202121.999 * * [misc]simplify: iters left: 6 (22 enodes) 1540202122.002 * * [misc]simplify: iters left: 5 (36 enodes) 1540202122.007 * * [misc]simplify: iters left: 4 (61 enodes) 1540202122.021 * * [misc]simplify: iters left: 3 (155 enodes) 1540202122.064 * * [misc]simplify: iters left: 2 (385 enodes) 1540202122.316 * [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)))))) 1540202122.316 * [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)))))))) 1540202122.316 * [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)))))) 1540202122.316 * * [misc]simplify: iters left: 6 (21 enodes) 1540202122.319 * * [misc]simplify: iters left: 5 (30 enodes) 1540202122.323 * * [misc]simplify: iters left: 4 (49 enodes) 1540202122.330 * * [misc]simplify: iters left: 3 (97 enodes) 1540202122.348 * * [misc]simplify: iters left: 2 (184 enodes) 1540202122.389 * * [misc]simplify: iters left: 1 (323 enodes) 1540202122.508 * [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)))))) 1540202122.508 * [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)))))))) 1540202122.508 * * * * [misc]progress: [ 797 / 6878 ] simplifiying candidate # 1540202122.508 * [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)))))) 1540202122.508 * * [misc]simplify: iters left: 6 (21 enodes) 1540202122.512 * * [misc]simplify: iters left: 5 (33 enodes) 1540202122.516 * * [misc]simplify: iters left: 4 (52 enodes) 1540202122.524 * * [misc]simplify: iters left: 3 (104 enodes) 1540202122.542 * * [misc]simplify: iters left: 2 (188 enodes) 1540202122.593 * * [misc]simplify: iters left: 1 (418 enodes) 1540202122.998 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202122.998 * [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)))))))) 1540202122.998 * [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)))))) 1540202122.999 * * [misc]simplify: iters left: 6 (21 enodes) 1540202123.005 * * [misc]simplify: iters left: 5 (30 enodes) 1540202123.015 * * [misc]simplify: iters left: 4 (49 enodes) 1540202123.030 * * [misc]simplify: iters left: 3 (97 enodes) 1540202123.067 * * [misc]simplify: iters left: 2 (184 enodes) 1540202123.126 * * [misc]simplify: iters left: 1 (323 enodes) 1540202123.265 * [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)))))) 1540202123.265 * [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)))))))) 1540202123.265 * * * * [misc]progress: [ 798 / 6878 ] simplifiying candidate # 1540202123.265 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540202123.265 * * [misc]simplify: iters left: 6 (19 enodes) 1540202123.268 * * [misc]simplify: iters left: 5 (29 enodes) 1540202123.272 * * [misc]simplify: iters left: 4 (40 enodes) 1540202123.283 * * [misc]simplify: iters left: 3 (53 enodes) 1540202123.296 * * [misc]simplify: iters left: 2 (67 enodes) 1540202123.314 * * [misc]simplify: iters left: 1 (88 enodes) 1540202123.340 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) 1540202123.341 * [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))))))) 1540202123.341 * [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))))) 1540202123.341 * * [misc]simplify: iters left: 6 (20 enodes) 1540202123.347 * * [misc]simplify: iters left: 5 (29 enodes) 1540202123.355 * * [misc]simplify: iters left: 4 (48 enodes) 1540202123.371 * * [misc]simplify: iters left: 3 (96 enodes) 1540202123.408 * * [misc]simplify: iters left: 2 (183 enodes) 1540202123.476 * * [misc]simplify: iters left: 1 (324 enodes) 1540202123.625 * [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)))) 1540202123.625 * [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)))))) 1540202123.625 * * * * [misc]progress: [ 799 / 6878 ] simplifiying candidate # 1540202123.626 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540202123.626 * * [misc]simplify: iters left: 6 (18 enodes) 1540202123.628 * * [misc]simplify: iters left: 5 (28 enodes) 1540202123.632 * * [misc]simplify: iters left: 4 (41 enodes) 1540202123.638 * * [misc]simplify: iters left: 3 (58 enodes) 1540202123.647 * * [misc]simplify: iters left: 2 (77 enodes) 1540202123.659 * * [misc]simplify: iters left: 1 (90 enodes) 1540202123.685 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202123.685 * [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))))))) 1540202123.685 * [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))))) 1540202123.685 * * [misc]simplify: iters left: 6 (20 enodes) 1540202123.691 * * [misc]simplify: iters left: 5 (29 enodes) 1540202123.700 * * [misc]simplify: iters left: 4 (48 enodes) 1540202123.715 * * [misc]simplify: iters left: 3 (96 enodes) 1540202123.747 * * [misc]simplify: iters left: 2 (183 enodes) 1540202123.801 * * [misc]simplify: iters left: 1 (324 enodes) 1540202123.955 * [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)))) 1540202123.955 * [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)))))) 1540202123.955 * * * * [misc]progress: [ 800 / 6878 ] simplifiying candidate # 1540202123.955 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540202123.956 * * [misc]simplify: iters left: 6 (18 enodes) 1540202123.961 * * [misc]simplify: iters left: 5 (26 enodes) 1540202123.968 * * [misc]simplify: iters left: 4 (39 enodes) 1540202123.980 * * [misc]simplify: iters left: 3 (54 enodes) 1540202123.994 * * [misc]simplify: iters left: 2 (71 enodes) 1540202124.014 * * [misc]simplify: iters left: 1 (88 enodes) 1540202124.040 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (fabs (cbrt (sqrt k))))) 1540202124.040 * [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))))))) 1540202124.041 * [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))))) 1540202124.041 * * [misc]simplify: iters left: 6 (20 enodes) 1540202124.047 * * [misc]simplify: iters left: 5 (31 enodes) 1540202124.056 * * [misc]simplify: iters left: 4 (48 enodes) 1540202124.072 * * [misc]simplify: iters left: 3 (100 enodes) 1540202124.107 * * [misc]simplify: iters left: 2 (208 enodes) 1540202124.186 * [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)))) 1540202124.186 * [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)))))) 1540202124.186 * * * * [misc]progress: [ 801 / 6878 ] simplifiying candidate # 1540202124.186 * [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))) 1540202124.186 * * [misc]simplify: iters left: 6 (20 enodes) 1540202124.190 * * [misc]simplify: iters left: 5 (31 enodes) 1540202124.195 * * [misc]simplify: iters left: 4 (52 enodes) 1540202124.211 * * [misc]simplify: iters left: 3 (100 enodes) 1540202124.252 * * [misc]simplify: iters left: 2 (187 enodes) 1540202124.321 * * [misc]simplify: iters left: 1 (322 enodes) 1540202124.453 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202124.453 * [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))))) 1540202124.454 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202124.454 * * [misc]simplify: iters left: 6 (18 enodes) 1540202124.459 * * [misc]simplify: iters left: 5 (25 enodes) 1540202124.466 * * [misc]simplify: iters left: 4 (36 enodes) 1540202124.477 * * [misc]simplify: iters left: 3 (51 enodes) 1540202124.491 * * [misc]simplify: iters left: 2 (68 enodes) 1540202124.509 * * [misc]simplify: iters left: 1 (85 enodes) 1540202124.537 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (cbrt (sqrt k))) (pow 2 (/ k 2)))) 1540202124.537 * [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)))))) 1540202124.537 * * * * [misc]progress: [ 802 / 6878 ] simplifiying candidate # 1540202124.537 * [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))))))) 1540202124.538 * * [misc]simplify: iters left: 6 (20 enodes) 1540202124.544 * * [misc]simplify: iters left: 5 (31 enodes) 1540202124.554 * * [misc]simplify: iters left: 4 (50 enodes) 1540202124.569 * * [misc]simplify: iters left: 3 (96 enodes) 1540202124.591 * * [misc]simplify: iters left: 2 (202 enodes) 1540202124.646 * * [misc]simplify: iters left: 1 (327 enodes) 1540202124.781 * [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))))) 1540202124.781 * [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)))))))) 1540202124.782 * [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)))))) 1540202124.782 * * [misc]simplify: iters left: 6 (20 enodes) 1540202124.785 * * [misc]simplify: iters left: 5 (27 enodes) 1540202124.789 * * [misc]simplify: iters left: 4 (38 enodes) 1540202124.794 * * [misc]simplify: iters left: 3 (53 enodes) 1540202124.801 * * [misc]simplify: iters left: 2 (70 enodes) 1540202124.812 * * [misc]simplify: iters left: 1 (87 enodes) 1540202124.828 * [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)))))) 1540202124.828 * [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)))))))) 1540202124.829 * * * * [misc]progress: [ 803 / 6878 ] simplifiying candidate # 1540202124.829 * [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)))))) 1540202124.829 * * [misc]simplify: iters left: 6 (19 enodes) 1540202124.835 * * [misc]simplify: iters left: 5 (28 enodes) 1540202124.843 * * [misc]simplify: iters left: 4 (41 enodes) 1540202124.854 * * [misc]simplify: iters left: 3 (50 enodes) 1540202124.868 * * [misc]simplify: iters left: 2 (67 enodes) 1540202124.879 * * [misc]simplify: iters left: 1 (86 enodes) 1540202124.892 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202124.892 * [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)))))))) 1540202124.893 * [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)))))) 1540202124.893 * * [misc]simplify: iters left: 6 (20 enodes) 1540202124.895 * * [misc]simplify: iters left: 5 (27 enodes) 1540202124.899 * * [misc]simplify: iters left: 4 (38 enodes) 1540202124.905 * * [misc]simplify: iters left: 3 (53 enodes) 1540202124.912 * * [misc]simplify: iters left: 2 (70 enodes) 1540202124.924 * * [misc]simplify: iters left: 1 (87 enodes) 1540202124.948 * [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)))))) 1540202124.948 * [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)))))))) 1540202124.948 * * * * [misc]progress: [ 804 / 6878 ] simplifiying candidate # 1540202124.948 * [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))) 1540202124.949 * * [misc]simplify: iters left: 6 (18 enodes) 1540202124.955 * * [misc]simplify: iters left: 5 (30 enodes) 1540202124.966 * * [misc]simplify: iters left: 4 (56 enodes) 1540202124.981 * * [misc]simplify: iters left: 3 (136 enodes) 1540202125.029 * * [misc]simplify: iters left: 2 (393 enodes) 1540202125.409 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202125.409 * [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))))))) 1540202125.409 * [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))))) 1540202125.409 * * [misc]simplify: iters left: 6 (20 enodes) 1540202125.412 * * [misc]simplify: iters left: 5 (29 enodes) 1540202125.416 * * [misc]simplify: iters left: 4 (48 enodes) 1540202125.423 * * [misc]simplify: iters left: 3 (96 enodes) 1540202125.442 * * [misc]simplify: iters left: 2 (183 enodes) 1540202125.485 * * [misc]simplify: iters left: 1 (323 enodes) 1540202125.670 * [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)))) 1540202125.670 * [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)))))) 1540202125.671 * * * * [misc]progress: [ 805 / 6878 ] simplifiying candidate # 1540202125.671 * [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))) 1540202125.671 * * [misc]simplify: iters left: 6 (18 enodes) 1540202125.675 * * [misc]simplify: iters left: 5 (30 enodes) 1540202125.680 * * [misc]simplify: iters left: 4 (56 enodes) 1540202125.690 * * [misc]simplify: iters left: 3 (136 enodes) 1540202125.724 * * [misc]simplify: iters left: 2 (393 enodes) 1540202126.168 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202126.168 * [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))))))) 1540202126.168 * [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))))) 1540202126.168 * * [misc]simplify: iters left: 6 (20 enodes) 1540202126.174 * * [misc]simplify: iters left: 5 (29 enodes) 1540202126.183 * * [misc]simplify: iters left: 4 (48 enodes) 1540202126.197 * * [misc]simplify: iters left: 3 (96 enodes) 1540202126.236 * * [misc]simplify: iters left: 2 (183 enodes) 1540202126.314 * * [misc]simplify: iters left: 1 (323 enodes) 1540202126.520 * [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)))) 1540202126.520 * [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)))))) 1540202126.520 * * * * [misc]progress: [ 806 / 6878 ] simplifiying candidate # 1540202126.520 * [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))))))) 1540202126.521 * * [misc]simplify: iters left: 6 (22 enodes) 1540202126.527 * * [misc]simplify: iters left: 5 (39 enodes) 1540202126.541 * * [misc]simplify: iters left: 4 (87 enodes) 1540202126.576 * * [misc]simplify: iters left: 3 (229 enodes) 1540202126.711 * [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)))))) 1540202126.712 * [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)))))))) 1540202126.712 * [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)))))) 1540202126.712 * * [misc]simplify: iters left: 6 (21 enodes) 1540202126.718 * * [misc]simplify: iters left: 5 (30 enodes) 1540202126.727 * * [misc]simplify: iters left: 4 (49 enodes) 1540202126.742 * * [misc]simplify: iters left: 3 (97 enodes) 1540202126.780 * * [misc]simplify: iters left: 2 (184 enodes) 1540202126.836 * * [misc]simplify: iters left: 1 (321 enodes) 1540202127.011 * [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)))))) 1540202127.011 * [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)))))))) 1540202127.011 * * * * [misc]progress: [ 807 / 6878 ] simplifiying candidate # 1540202127.012 * [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)))))) 1540202127.012 * * [misc]simplify: iters left: 6 (21 enodes) 1540202127.019 * * [misc]simplify: iters left: 5 (34 enodes) 1540202127.029 * * [misc]simplify: iters left: 4 (63 enodes) 1540202127.047 * * [misc]simplify: iters left: 3 (141 enodes) 1540202127.075 * * [misc]simplify: iters left: 2 (326 enodes) 1540202127.285 * [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)))))) 1540202127.285 * [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)))))))) 1540202127.285 * [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)))))) 1540202127.285 * * [misc]simplify: iters left: 6 (21 enodes) 1540202127.288 * * [misc]simplify: iters left: 5 (30 enodes) 1540202127.292 * * [misc]simplify: iters left: 4 (49 enodes) 1540202127.300 * * [misc]simplify: iters left: 3 (97 enodes) 1540202127.318 * * [misc]simplify: iters left: 2 (184 enodes) 1540202127.376 * * [misc]simplify: iters left: 1 (321 enodes) 1540202127.524 * [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)))))) 1540202127.524 * [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)))))))) 1540202127.524 * * * * [misc]progress: [ 808 / 6878 ] simplifiying candidate # 1540202127.524 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202127.524 * * [misc]simplify: iters left: 6 (16 enodes) 1540202127.529 * * [misc]simplify: iters left: 5 (27 enodes) 1540202127.537 * * [misc]simplify: iters left: 4 (46 enodes) 1540202127.544 * * [misc]simplify: iters left: 3 (105 enodes) 1540202127.566 * * [misc]simplify: iters left: 2 (268 enodes) 1540202127.709 * * [misc]simplify: iters left: 1 (454 enodes) 1540202127.806 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202127.806 * [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))))))) 1540202127.806 * [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))))) 1540202127.807 * * [misc]simplify: iters left: 6 (20 enodes) 1540202127.809 * * [misc]simplify: iters left: 5 (29 enodes) 1540202127.814 * * [misc]simplify: iters left: 4 (48 enodes) 1540202127.822 * * [misc]simplify: iters left: 3 (96 enodes) 1540202127.840 * * [misc]simplify: iters left: 2 (183 enodes) 1540202127.890 * * [misc]simplify: iters left: 1 (323 enodes) 1540202128.040 * [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))))) 1540202128.040 * [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))))))) 1540202128.040 * * * * [misc]progress: [ 809 / 6878 ] simplifiying candidate # 1540202128.040 * [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))) 1540202128.040 * * [misc]simplify: iters left: 6 (15 enodes) 1540202128.044 * * [misc]simplify: iters left: 5 (25 enodes) 1540202128.048 * * [misc]simplify: iters left: 4 (43 enodes) 1540202128.056 * * [misc]simplify: iters left: 3 (72 enodes) 1540202128.075 * * [misc]simplify: iters left: 2 (107 enodes) 1540202128.107 * * [misc]simplify: iters left: 1 (177 enodes) 1540202128.174 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540202128.174 * [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))))))) 1540202128.174 * [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))))) 1540202128.174 * * [misc]simplify: iters left: 6 (18 enodes) 1540202128.177 * * [misc]simplify: iters left: 5 (27 enodes) 1540202128.180 * * [misc]simplify: iters left: 4 (45 enodes) 1540202128.188 * * [misc]simplify: iters left: 3 (90 enodes) 1540202128.203 * * [misc]simplify: iters left: 2 (155 enodes) 1540202128.265 * * [misc]simplify: iters left: 1 (239 enodes) 1540202128.349 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202128.349 * [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))))))) 1540202128.349 * * * * [misc]progress: [ 810 / 6878 ] simplifiying candidate # 1540202128.349 * [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))) 1540202128.349 * * [misc]simplify: iters left: 6 (15 enodes) 1540202128.355 * * [misc]simplify: iters left: 5 (25 enodes) 1540202128.364 * * [misc]simplify: iters left: 4 (43 enodes) 1540202128.376 * * [misc]simplify: iters left: 3 (72 enodes) 1540202128.388 * * [misc]simplify: iters left: 2 (107 enodes) 1540202128.413 * * [misc]simplify: iters left: 1 (177 enodes) 1540202128.484 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540202128.484 * [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))))))) 1540202128.485 * [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))))) 1540202128.485 * * [misc]simplify: iters left: 6 (18 enodes) 1540202128.491 * * [misc]simplify: iters left: 5 (27 enodes) 1540202128.499 * * [misc]simplify: iters left: 4 (45 enodes) 1540202128.512 * * [misc]simplify: iters left: 3 (90 enodes) 1540202128.528 * * [misc]simplify: iters left: 2 (155 enodes) 1540202128.586 * * [misc]simplify: iters left: 1 (239 enodes) 1540202128.711 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202128.711 * [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))))))) 1540202128.711 * * * * [misc]progress: [ 811 / 6878 ] simplifiying candidate # 1540202128.711 * [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))))))) 1540202128.711 * * [misc]simplify: iters left: 6 (19 enodes) 1540202128.717 * * [misc]simplify: iters left: 5 (32 enodes) 1540202128.728 * * [misc]simplify: iters left: 4 (61 enodes) 1540202128.750 * * [misc]simplify: iters left: 3 (125 enodes) 1540202128.777 * * [misc]simplify: iters left: 2 (222 enodes) 1540202128.889 * [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))))) 1540202128.889 * [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)))))))) 1540202128.889 * [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)))))) 1540202128.890 * * [misc]simplify: iters left: 6 (19 enodes) 1540202128.896 * * [misc]simplify: iters left: 5 (28 enodes) 1540202128.904 * * [misc]simplify: iters left: 4 (46 enodes) 1540202128.917 * * [misc]simplify: iters left: 3 (91 enodes) 1540202128.935 * * [misc]simplify: iters left: 2 (156 enodes) 1540202128.969 * * [misc]simplify: iters left: 1 (239 enodes) 1540202129.051 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202129.051 * [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)))))))) 1540202129.052 * * * * [misc]progress: [ 812 / 6878 ] simplifiying candidate # 1540202129.052 * [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)))))) 1540202129.052 * * [misc]simplify: iters left: 6 (18 enodes) 1540202129.055 * * [misc]simplify: iters left: 5 (29 enodes) 1540202129.060 * * [misc]simplify: iters left: 4 (50 enodes) 1540202129.067 * * [misc]simplify: iters left: 3 (78 enodes) 1540202129.079 * * [misc]simplify: iters left: 2 (106 enodes) 1540202129.110 * * [misc]simplify: iters left: 1 (165 enodes) 1540202129.160 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) 1540202129.160 * [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)))))))) 1540202129.160 * [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)))))) 1540202129.161 * * [misc]simplify: iters left: 6 (19 enodes) 1540202129.166 * * [misc]simplify: iters left: 5 (28 enodes) 1540202129.175 * * [misc]simplify: iters left: 4 (46 enodes) 1540202129.189 * * [misc]simplify: iters left: 3 (91 enodes) 1540202129.206 * * [misc]simplify: iters left: 2 (156 enodes) 1540202129.248 * * [misc]simplify: iters left: 1 (239 enodes) 1540202129.331 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202129.331 * [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)))))))) 1540202129.331 * * * * [misc]progress: [ 813 / 6878 ] simplifiying candidate # 1540202129.331 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202129.332 * * [misc]simplify: iters left: 6 (12 enodes) 1540202129.335 * * [misc]simplify: iters left: 5 (20 enodes) 1540202129.342 * * [misc]simplify: iters left: 4 (29 enodes) 1540202129.350 * * [misc]simplify: iters left: 3 (43 enodes) 1540202129.363 * * [misc]simplify: iters left: 2 (69 enodes) 1540202129.385 * * [misc]simplify: iters left: 1 (99 enodes) 1540202129.408 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540202129.408 * [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))))))) 1540202129.409 * [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))))) 1540202129.409 * * [misc]simplify: iters left: 6 (18 enodes) 1540202129.411 * * [misc]simplify: iters left: 5 (27 enodes) 1540202129.415 * * [misc]simplify: iters left: 4 (45 enodes) 1540202129.422 * * [misc]simplify: iters left: 3 (90 enodes) 1540202129.449 * * [misc]simplify: iters left: 2 (155 enodes) 1540202129.495 * * [misc]simplify: iters left: 1 (239 enodes) 1540202129.570 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540202129.570 * [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))))))) 1540202129.570 * * * * [misc]progress: [ 814 / 6878 ] simplifiying candidate # 1540202129.570 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202129.570 * * [misc]simplify: iters left: 6 (17 enodes) 1540202129.577 * * [misc]simplify: iters left: 5 (27 enodes) 1540202129.585 * * [misc]simplify: iters left: 4 (44 enodes) 1540202129.598 * * [misc]simplify: iters left: 3 (81 enodes) 1540202129.627 * * [misc]simplify: iters left: 2 (146 enodes) 1540202129.696 * * [misc]simplify: iters left: 1 (226 enodes) 1540202129.780 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540202129.780 * [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))))))) 1540202129.780 * [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))))) 1540202129.780 * * [misc]simplify: iters left: 6 (20 enodes) 1540202129.783 * * [misc]simplify: iters left: 5 (29 enodes) 1540202129.787 * * [misc]simplify: iters left: 4 (48 enodes) 1540202129.795 * * [misc]simplify: iters left: 3 (96 enodes) 1540202129.816 * * [misc]simplify: iters left: 2 (183 enodes) 1540202129.857 * * [misc]simplify: iters left: 1 (323 enodes) 1540202129.983 * [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)))) 1540202129.984 * [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)))))) 1540202129.984 * * * * [misc]progress: [ 815 / 6878 ] simplifiying candidate # 1540202129.984 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202129.984 * * [misc]simplify: iters left: 6 (17 enodes) 1540202129.990 * * [misc]simplify: iters left: 5 (27 enodes) 1540202129.999 * * [misc]simplify: iters left: 4 (44 enodes) 1540202130.012 * * [misc]simplify: iters left: 3 (81 enodes) 1540202130.041 * * [misc]simplify: iters left: 2 (146 enodes) 1540202130.094 * * [misc]simplify: iters left: 1 (226 enodes) 1540202130.175 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540202130.175 * [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))))))) 1540202130.175 * [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))))) 1540202130.175 * * [misc]simplify: iters left: 6 (20 enodes) 1540202130.181 * * [misc]simplify: iters left: 5 (29 enodes) 1540202130.190 * * [misc]simplify: iters left: 4 (48 enodes) 1540202130.205 * * [misc]simplify: iters left: 3 (96 enodes) 1540202130.240 * * [misc]simplify: iters left: 2 (183 enodes) 1540202130.302 * * [misc]simplify: iters left: 1 (323 enodes) 1540202130.456 * [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)))) 1540202130.456 * [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)))))) 1540202130.456 * * * * [misc]progress: [ 816 / 6878 ] simplifiying candidate # 1540202130.456 * [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))))))) 1540202130.456 * * [misc]simplify: iters left: 6 (21 enodes) 1540202130.459 * * [misc]simplify: iters left: 5 (34 enodes) 1540202130.466 * * [misc]simplify: iters left: 4 (60 enodes) 1540202130.486 * * [misc]simplify: iters left: 3 (127 enodes) 1540202130.515 * * [misc]simplify: iters left: 2 (292 enodes) 1540202130.638 * [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)))))) 1540202130.638 * [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)))))))) 1540202130.639 * [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)))))) 1540202130.639 * * [misc]simplify: iters left: 6 (21 enodes) 1540202130.645 * * [misc]simplify: iters left: 5 (30 enodes) 1540202130.654 * * [misc]simplify: iters left: 4 (49 enodes) 1540202130.670 * * [misc]simplify: iters left: 3 (97 enodes) 1540202130.707 * * [misc]simplify: iters left: 2 (184 enodes) 1540202130.768 * * [misc]simplify: iters left: 1 (321 enodes) 1540202130.903 * [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)))))) 1540202130.903 * [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)))))))) 1540202130.903 * * * * [misc]progress: [ 817 / 6878 ] simplifiying candidate # 1540202130.904 * [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)))))) 1540202130.904 * * [misc]simplify: iters left: 6 (20 enodes) 1540202130.910 * * [misc]simplify: iters left: 5 (31 enodes) 1540202130.920 * * [misc]simplify: iters left: 4 (51 enodes) 1540202130.931 * * [misc]simplify: iters left: 3 (99 enodes) 1540202130.948 * * [misc]simplify: iters left: 2 (168 enodes) 1540202131.006 * * [misc]simplify: iters left: 1 (277 enodes) 1540202131.155 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540202131.156 * [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)))))))) 1540202131.156 * [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)))))) 1540202131.156 * * [misc]simplify: iters left: 6 (21 enodes) 1540202131.162 * * [misc]simplify: iters left: 5 (30 enodes) 1540202131.171 * * [misc]simplify: iters left: 4 (49 enodes) 1540202131.187 * * [misc]simplify: iters left: 3 (97 enodes) 1540202131.223 * * [misc]simplify: iters left: 2 (184 enodes) 1540202131.291 * * [misc]simplify: iters left: 1 (321 enodes) 1540202131.465 * [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)))))) 1540202131.465 * [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)))))))) 1540202131.465 * * * * [misc]progress: [ 818 / 6878 ] simplifiying candidate # 1540202131.465 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202131.466 * * [misc]simplify: iters left: 6 (15 enodes) 1540202131.470 * * [misc]simplify: iters left: 5 (24 enodes) 1540202131.478 * * [misc]simplify: iters left: 4 (39 enodes) 1540202131.488 * * [misc]simplify: iters left: 3 (52 enodes) 1540202131.499 * * [misc]simplify: iters left: 2 (63 enodes) 1540202131.517 * * [misc]simplify: iters left: 1 (86 enodes) 1540202131.547 * [exit]simplify: Simplified to (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202131.547 * [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))))))) 1540202131.547 * [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))))) 1540202131.547 * * [misc]simplify: iters left: 6 (20 enodes) 1540202131.553 * * [misc]simplify: iters left: 5 (29 enodes) 1540202131.562 * * [misc]simplify: iters left: 4 (48 enodes) 1540202131.575 * * [misc]simplify: iters left: 3 (96 enodes) 1540202131.592 * * [misc]simplify: iters left: 2 (183 enodes) 1540202131.644 * * [misc]simplify: iters left: 1 (323 enodes) 1540202131.818 * [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))))) 1540202131.818 * [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))))))) 1540202131.819 * * * * [misc]progress: [ 819 / 6878 ] simplifiying candidate # 1540202131.819 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202131.819 * * [misc]simplify: iters left: 6 (16 enodes) 1540202131.823 * * [misc]simplify: iters left: 5 (26 enodes) 1540202131.827 * * [misc]simplify: iters left: 4 (44 enodes) 1540202131.838 * * [misc]simplify: iters left: 3 (86 enodes) 1540202131.857 * * [misc]simplify: iters left: 2 (133 enodes) 1540202131.887 * * [misc]simplify: iters left: 1 (199 enodes) 1540202131.956 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540202131.956 * [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))))))) 1540202131.956 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202131.956 * * [misc]simplify: iters left: 6 (19 enodes) 1540202131.959 * * [misc]simplify: iters left: 5 (28 enodes) 1540202131.963 * * [misc]simplify: iters left: 4 (47 enodes) 1540202131.974 * * [misc]simplify: iters left: 3 (95 enodes) 1540202132.010 * * [misc]simplify: iters left: 2 (182 enodes) 1540202132.090 * * [misc]simplify: iters left: 1 (317 enodes) 1540202132.212 * [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)))))) 1540202132.212 * [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)))))))) 1540202132.213 * * * * [misc]progress: [ 820 / 6878 ] simplifiying candidate # 1540202132.213 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202132.213 * * [misc]simplify: iters left: 6 (16 enodes) 1540202132.216 * * [misc]simplify: iters left: 5 (26 enodes) 1540202132.221 * * [misc]simplify: iters left: 4 (44 enodes) 1540202132.228 * * [misc]simplify: iters left: 3 (86 enodes) 1540202132.249 * * [misc]simplify: iters left: 2 (133 enodes) 1540202132.279 * * [misc]simplify: iters left: 1 (199 enodes) 1540202132.389 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540202132.389 * [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))))))) 1540202132.389 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202132.389 * * [misc]simplify: iters left: 6 (19 enodes) 1540202132.395 * * [misc]simplify: iters left: 5 (28 enodes) 1540202132.403 * * [misc]simplify: iters left: 4 (47 enodes) 1540202132.410 * * [misc]simplify: iters left: 3 (95 enodes) 1540202132.429 * * [misc]simplify: iters left: 2 (182 enodes) 1540202132.478 * * [misc]simplify: iters left: 1 (317 enodes) 1540202132.602 * [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)))))) 1540202132.602 * [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)))))))) 1540202132.602 * * * * [misc]progress: [ 821 / 6878 ] simplifiying candidate # 1540202132.603 * [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))))))) 1540202132.603 * * [misc]simplify: iters left: 6 (20 enodes) 1540202132.610 * * [misc]simplify: iters left: 5 (33 enodes) 1540202132.618 * * [misc]simplify: iters left: 4 (61 enodes) 1540202132.628 * * [misc]simplify: iters left: 3 (138 enodes) 1540202132.664 * * [misc]simplify: iters left: 2 (324 enodes) 1540202132.890 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) 1540202132.890 * [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)))))))) 1540202132.890 * [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)))))) 1540202132.891 * * [misc]simplify: iters left: 6 (20 enodes) 1540202132.893 * * [misc]simplify: iters left: 5 (29 enodes) 1540202132.898 * * [misc]simplify: iters left: 4 (48 enodes) 1540202132.906 * * [misc]simplify: iters left: 3 (96 enodes) 1540202132.940 * * [misc]simplify: iters left: 2 (183 enodes) 1540202132.989 * * [misc]simplify: iters left: 1 (321 enodes) 1540202133.091 * [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)))))) 1540202133.091 * [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)))))))) 1540202133.091 * * * * [misc]progress: [ 822 / 6878 ] simplifiying candidate # 1540202133.091 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202133.092 * * [misc]simplify: iters left: 6 (19 enodes) 1540202133.095 * * [misc]simplify: iters left: 5 (30 enodes) 1540202133.101 * * [misc]simplify: iters left: 4 (51 enodes) 1540202133.118 * * [misc]simplify: iters left: 3 (93 enodes) 1540202133.148 * * [misc]simplify: iters left: 2 (159 enodes) 1540202133.200 * * [misc]simplify: iters left: 1 (329 enodes) 1540202133.471 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540202133.471 * [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)))))))) 1540202133.472 * [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)))))) 1540202133.472 * * [misc]simplify: iters left: 6 (20 enodes) 1540202133.478 * * [misc]simplify: iters left: 5 (29 enodes) 1540202133.485 * * [misc]simplify: iters left: 4 (48 enodes) 1540202133.492 * * [misc]simplify: iters left: 3 (96 enodes) 1540202133.511 * * [misc]simplify: iters left: 2 (183 enodes) 1540202133.588 * * [misc]simplify: iters left: 1 (321 enodes) 1540202133.767 * [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)))))) 1540202133.767 * [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)))))))) 1540202133.768 * * * * [misc]progress: [ 823 / 6878 ] simplifiying candidate # 1540202133.768 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt 1) 1)) 1540202133.768 * * [misc]simplify: iters left: 6 (14 enodes) 1540202133.774 * * [misc]simplify: iters left: 5 (23 enodes) 1540202133.781 * * [misc]simplify: iters left: 4 (32 enodes) 1540202133.789 * * [misc]simplify: iters left: 3 (40 enodes) 1540202133.800 * * [misc]simplify: iters left: 2 (50 enodes) 1540202133.812 * * [misc]simplify: iters left: 1 (61 enodes) 1540202133.833 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540202133.833 * [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))))))) 1540202133.834 * [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))))) 1540202133.834 * * [misc]simplify: iters left: 6 (19 enodes) 1540202133.839 * * [misc]simplify: iters left: 5 (28 enodes) 1540202133.848 * * [misc]simplify: iters left: 4 (47 enodes) 1540202133.862 * * [misc]simplify: iters left: 3 (95 enodes) 1540202133.885 * * [misc]simplify: iters left: 2 (182 enodes) 1540202133.966 * * [misc]simplify: iters left: 1 (317 enodes) 1540202134.086 * [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)))))) 1540202134.086 * [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)))))))) 1540202134.086 * * * * [misc]progress: [ 824 / 6878 ] simplifiying candidate # 1540202134.087 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202134.087 * * [misc]simplify: iters left: 6 (17 enodes) 1540202134.095 * * [misc]simplify: iters left: 5 (27 enodes) 1540202134.104 * * [misc]simplify: iters left: 4 (44 enodes) 1540202134.118 * * [misc]simplify: iters left: 3 (81 enodes) 1540202134.147 * * [misc]simplify: iters left: 2 (146 enodes) 1540202134.213 * * [misc]simplify: iters left: 1 (226 enodes) 1540202134.305 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540202134.306 * [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))))))) 1540202134.306 * [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))))) 1540202134.306 * * [misc]simplify: iters left: 6 (20 enodes) 1540202134.312 * * [misc]simplify: iters left: 5 (29 enodes) 1540202134.316 * * [misc]simplify: iters left: 4 (48 enodes) 1540202134.325 * * [misc]simplify: iters left: 3 (96 enodes) 1540202134.343 * * [misc]simplify: iters left: 2 (183 enodes) 1540202134.404 * * [misc]simplify: iters left: 1 (323 enodes) 1540202134.521 * [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)))) 1540202134.522 * [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)))))) 1540202134.522 * * * * [misc]progress: [ 825 / 6878 ] simplifiying candidate # 1540202134.522 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202134.522 * * [misc]simplify: iters left: 6 (17 enodes) 1540202134.525 * * [misc]simplify: iters left: 5 (27 enodes) 1540202134.529 * * [misc]simplify: iters left: 4 (44 enodes) 1540202134.543 * * [misc]simplify: iters left: 3 (81 enodes) 1540202134.572 * * [misc]simplify: iters left: 2 (146 enodes) 1540202134.610 * * [misc]simplify: iters left: 1 (226 enodes) 1540202134.698 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540202134.698 * [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))))))) 1540202134.699 * [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))))) 1540202134.699 * * [misc]simplify: iters left: 6 (20 enodes) 1540202134.701 * * [misc]simplify: iters left: 5 (29 enodes) 1540202134.706 * * [misc]simplify: iters left: 4 (48 enodes) 1540202134.713 * * [misc]simplify: iters left: 3 (96 enodes) 1540202134.752 * * [misc]simplify: iters left: 2 (183 enodes) 1540202134.825 * * [misc]simplify: iters left: 1 (323 enodes) 1540202134.962 * [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)))) 1540202134.962 * [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)))))) 1540202134.962 * * * * [misc]progress: [ 826 / 6878 ] simplifiying candidate # 1540202134.962 * [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))))))) 1540202134.962 * * [misc]simplify: iters left: 6 (21 enodes) 1540202134.967 * * [misc]simplify: iters left: 5 (34 enodes) 1540202134.978 * * [misc]simplify: iters left: 4 (60 enodes) 1540202135.000 * * [misc]simplify: iters left: 3 (127 enodes) 1540202135.045 * * [misc]simplify: iters left: 2 (292 enodes) 1540202135.179 * [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)))))) 1540202135.179 * [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)))))))) 1540202135.179 * [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)))))) 1540202135.179 * * [misc]simplify: iters left: 6 (21 enodes) 1540202135.186 * * [misc]simplify: iters left: 5 (30 enodes) 1540202135.194 * * [misc]simplify: iters left: 4 (49 enodes) 1540202135.210 * * [misc]simplify: iters left: 3 (97 enodes) 1540202135.235 * * [misc]simplify: iters left: 2 (184 enodes) 1540202135.303 * * [misc]simplify: iters left: 1 (321 enodes) 1540202135.432 * [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)))))) 1540202135.432 * [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)))))))) 1540202135.432 * * * * [misc]progress: [ 827 / 6878 ] simplifiying candidate # 1540202135.433 * [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)))))) 1540202135.433 * * [misc]simplify: iters left: 6 (20 enodes) 1540202135.436 * * [misc]simplify: iters left: 5 (31 enodes) 1540202135.440 * * [misc]simplify: iters left: 4 (51 enodes) 1540202135.447 * * [misc]simplify: iters left: 3 (99 enodes) 1540202135.471 * * [misc]simplify: iters left: 2 (168 enodes) 1540202135.516 * * [misc]simplify: iters left: 1 (277 enodes) 1540202135.626 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540202135.626 * [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)))))))) 1540202135.626 * [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)))))) 1540202135.626 * * [misc]simplify: iters left: 6 (21 enodes) 1540202135.629 * * [misc]simplify: iters left: 5 (30 enodes) 1540202135.633 * * [misc]simplify: iters left: 4 (49 enodes) 1540202135.642 * * [misc]simplify: iters left: 3 (97 enodes) 1540202135.660 * * [misc]simplify: iters left: 2 (184 enodes) 1540202135.700 * * [misc]simplify: iters left: 1 (321 enodes) 1540202135.854 * [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)))))) 1540202135.854 * [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)))))))) 1540202135.855 * * * * [misc]progress: [ 828 / 6878 ] simplifiying candidate # 1540202135.855 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202135.855 * * [misc]simplify: iters left: 6 (15 enodes) 1540202135.860 * * [misc]simplify: iters left: 5 (24 enodes) 1540202135.867 * * [misc]simplify: iters left: 4 (39 enodes) 1540202135.878 * * [misc]simplify: iters left: 3 (52 enodes) 1540202135.891 * * [misc]simplify: iters left: 2 (63 enodes) 1540202135.909 * * [misc]simplify: iters left: 1 (86 enodes) 1540202135.939 * [exit]simplify: Simplified to (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202135.939 * [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))))))) 1540202135.939 * [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))))) 1540202135.939 * * [misc]simplify: iters left: 6 (20 enodes) 1540202135.945 * * [misc]simplify: iters left: 5 (29 enodes) 1540202135.954 * * [misc]simplify: iters left: 4 (48 enodes) 1540202135.969 * * [misc]simplify: iters left: 3 (96 enodes) 1540202136.004 * * [misc]simplify: iters left: 2 (183 enodes) 1540202136.049 * * [misc]simplify: iters left: 1 (323 enodes) 1540202136.184 * [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))))) 1540202136.184 * [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))))))) 1540202136.184 * * * * [misc]progress: [ 829 / 6878 ] simplifiying candidate # 1540202136.185 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540202136.185 * * [misc]simplify: iters left: 6 (15 enodes) 1540202136.188 * * [misc]simplify: iters left: 5 (25 enodes) 1540202136.192 * * [misc]simplify: iters left: 4 (40 enodes) 1540202136.198 * * [misc]simplify: iters left: 3 (70 enodes) 1540202136.212 * * [misc]simplify: iters left: 2 (107 enodes) 1540202136.244 * * [misc]simplify: iters left: 1 (169 enodes) 1540202136.301 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540202136.301 * [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))))))) 1540202136.301 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202136.301 * * [misc]simplify: iters left: 6 (19 enodes) 1540202136.304 * * [misc]simplify: iters left: 5 (28 enodes) 1540202136.311 * * [misc]simplify: iters left: 4 (47 enodes) 1540202136.326 * * [misc]simplify: iters left: 3 (95 enodes) 1540202136.361 * * [misc]simplify: iters left: 2 (182 enodes) 1540202136.415 * * [misc]simplify: iters left: 1 (317 enodes) 1540202136.538 * [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)))))) 1540202136.538 * [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)))))))) 1540202136.539 * * * * [misc]progress: [ 830 / 6878 ] simplifiying candidate # 1540202136.539 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540202136.539 * * [misc]simplify: iters left: 6 (15 enodes) 1540202136.542 * * [misc]simplify: iters left: 5 (25 enodes) 1540202136.546 * * [misc]simplify: iters left: 4 (40 enodes) 1540202136.553 * * [misc]simplify: iters left: 3 (70 enodes) 1540202136.580 * * [misc]simplify: iters left: 2 (107 enodes) 1540202136.610 * * [misc]simplify: iters left: 1 (169 enodes) 1540202136.700 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540202136.700 * [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))))))) 1540202136.700 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202136.701 * * [misc]simplify: iters left: 6 (19 enodes) 1540202136.703 * * [misc]simplify: iters left: 5 (28 enodes) 1540202136.707 * * [misc]simplify: iters left: 4 (47 enodes) 1540202136.714 * * [misc]simplify: iters left: 3 (95 enodes) 1540202136.734 * * [misc]simplify: iters left: 2 (182 enodes) 1540202136.803 * * [misc]simplify: iters left: 1 (317 enodes) 1540202136.924 * [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)))))) 1540202136.924 * [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)))))))) 1540202136.924 * * * * [misc]progress: [ 831 / 6878 ] simplifiying candidate # 1540202136.924 * [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))))))) 1540202136.924 * * [misc]simplify: iters left: 6 (19 enodes) 1540202136.927 * * [misc]simplify: iters left: 5 (32 enodes) 1540202136.933 * * [misc]simplify: iters left: 4 (56 enodes) 1540202136.941 * * [misc]simplify: iters left: 3 (113 enodes) 1540202136.968 * * [misc]simplify: iters left: 2 (257 enodes) 1540202137.134 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI)))) 1540202137.134 * [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)))))))) 1540202137.134 * [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)))))) 1540202137.134 * * [misc]simplify: iters left: 6 (20 enodes) 1540202137.140 * * [misc]simplify: iters left: 5 (29 enodes) 1540202137.149 * * [misc]simplify: iters left: 4 (48 enodes) 1540202137.166 * * [misc]simplify: iters left: 3 (96 enodes) 1540202137.196 * * [misc]simplify: iters left: 2 (183 enodes) 1540202137.235 * * [misc]simplify: iters left: 1 (321 enodes) 1540202137.343 * [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)))))) 1540202137.343 * [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)))))))) 1540202137.343 * * * * [misc]progress: [ 832 / 6878 ] simplifiying candidate # 1540202137.343 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202137.344 * * [misc]simplify: iters left: 6 (18 enodes) 1540202137.346 * * [misc]simplify: iters left: 5 (29 enodes) 1540202137.355 * * [misc]simplify: iters left: 4 (47 enodes) 1540202137.368 * * [misc]simplify: iters left: 3 (73 enodes) 1540202137.388 * * [misc]simplify: iters left: 2 (123 enodes) 1540202137.441 * * [misc]simplify: iters left: 1 (238 enodes) 1540202137.560 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540202137.560 * [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)))))))) 1540202137.560 * [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)))))) 1540202137.560 * * [misc]simplify: iters left: 6 (20 enodes) 1540202137.563 * * [misc]simplify: iters left: 5 (29 enodes) 1540202137.567 * * [misc]simplify: iters left: 4 (48 enodes) 1540202137.574 * * [misc]simplify: iters left: 3 (96 enodes) 1540202137.605 * * [misc]simplify: iters left: 2 (183 enodes) 1540202137.686 * * [misc]simplify: iters left: 1 (321 enodes) 1540202137.897 * [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)))))) 1540202137.897 * [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)))))))) 1540202137.898 * * * * [misc]progress: [ 833 / 6878 ] simplifiying candidate # 1540202137.898 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ 1 1)) 1540202137.898 * * [misc]simplify: iters left: 6 (13 enodes) 1540202137.902 * * [misc]simplify: iters left: 5 (20 enodes) 1540202137.909 * * [misc]simplify: iters left: 4 (27 enodes) 1540202137.916 * * [misc]simplify: iters left: 3 (35 enodes) 1540202137.925 * * [misc]simplify: iters left: 2 (45 enodes) 1540202137.937 * * [misc]simplify: iters left: 1 (56 enodes) 1540202137.956 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540202137.956 * [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))))))) 1540202137.956 * [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))))) 1540202137.956 * * [misc]simplify: iters left: 6 (19 enodes) 1540202137.962 * * [misc]simplify: iters left: 5 (28 enodes) 1540202137.971 * * [misc]simplify: iters left: 4 (47 enodes) 1540202137.986 * * [misc]simplify: iters left: 3 (95 enodes) 1540202138.025 * * [misc]simplify: iters left: 2 (182 enodes) 1540202138.090 * * [misc]simplify: iters left: 1 (317 enodes) 1540202138.267 * [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)))))) 1540202138.267 * [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)))))))) 1540202138.268 * * * * [misc]progress: [ 834 / 6878 ] simplifiying candidate # 1540202138.268 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1) 1540202138.268 * * [misc]simplify: iters left: 6 (12 enodes) 1540202138.270 * * [misc]simplify: iters left: 5 (19 enodes) 1540202138.273 * * [misc]simplify: iters left: 4 (28 enodes) 1540202138.276 * * [misc]simplify: iters left: 3 (36 enodes) 1540202138.281 * * [misc]simplify: iters left: 2 (46 enodes) 1540202138.287 * * [misc]simplify: iters left: 1 (57 enodes) 1540202138.296 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540202138.296 * [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))))))) 1540202138.296 * [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))))) 1540202138.296 * * [misc]simplify: iters left: 6 (19 enodes) 1540202138.301 * * [misc]simplify: iters left: 5 (28 enodes) 1540202138.308 * * [misc]simplify: iters left: 4 (47 enodes) 1540202138.320 * * [misc]simplify: iters left: 3 (95 enodes) 1540202138.338 * * [misc]simplify: iters left: 2 (182 enodes) 1540202138.382 * * [misc]simplify: iters left: 1 (317 enodes) 1540202138.507 * [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)))))) 1540202138.507 * [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)))))))) 1540202138.507 * * * * [misc]progress: [ 835 / 6878 ] simplifiying candidate # 1540202138.507 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (sqrt (sqrt k))) 1540202138.507 * * [misc]simplify: iters left: 6 (13 enodes) 1540202138.509 * * [misc]simplify: iters left: 5 (20 enodes) 1540202138.512 * * [misc]simplify: iters left: 4 (30 enodes) 1540202138.518 * * [misc]simplify: iters left: 3 (50 enodes) 1540202138.525 * * [misc]simplify: iters left: 2 (83 enodes) 1540202138.539 * * [misc]simplify: iters left: 1 (110 enodes) 1540202138.570 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202138.571 * [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))))))) 1540202138.571 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202138.571 * * [misc]simplify: iters left: 6 (19 enodes) 1540202138.576 * * [misc]simplify: iters left: 5 (30 enodes) 1540202138.580 * * [misc]simplify: iters left: 4 (47 enodes) 1540202138.588 * * [misc]simplify: iters left: 3 (99 enodes) 1540202138.607 * * [misc]simplify: iters left: 2 (207 enodes) 1540202138.692 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202138.692 * [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))))))) 1540202138.692 * * * * [misc]progress: [ 836 / 6878 ] simplifiying candidate # 1540202138.693 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202138.693 * * [misc]simplify: iters left: 6 (16 enodes) 1540202138.699 * * [misc]simplify: iters left: 5 (26 enodes) 1540202138.708 * * [misc]simplify: iters left: 4 (43 enodes) 1540202138.722 * * [misc]simplify: iters left: 3 (80 enodes) 1540202138.753 * * [misc]simplify: iters left: 2 (145 enodes) 1540202138.800 * * [misc]simplify: iters left: 1 (225 enodes) 1540202138.882 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202138.882 * [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))))) 1540202138.883 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540202138.883 * * [misc]simplify: iters left: 6 (17 enodes) 1540202138.889 * * [misc]simplify: iters left: 5 (24 enodes) 1540202138.892 * * [misc]simplify: iters left: 4 (35 enodes) 1540202138.897 * * [misc]simplify: iters left: 3 (50 enodes) 1540202138.903 * * [misc]simplify: iters left: 2 (67 enodes) 1540202138.912 * * [misc]simplify: iters left: 1 (84 enodes) 1540202138.934 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540202138.934 * [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))))))) 1540202138.934 * * * * [misc]progress: [ 837 / 6878 ] simplifiying candidate # 1540202138.934 * [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))))))) 1540202138.935 * * [misc]simplify: iters left: 6 (19 enodes) 1540202138.941 * * [misc]simplify: iters left: 5 (29 enodes) 1540202138.949 * * [misc]simplify: iters left: 4 (50 enodes) 1540202138.964 * * [misc]simplify: iters left: 3 (85 enodes) 1540202138.977 * * [misc]simplify: iters left: 2 (132 enodes) 1540202139.010 * * [misc]simplify: iters left: 1 (198 enodes) 1540202139.054 * [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))))))) 1540202139.054 * [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)))))))) 1540202139.054 * [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)))))) 1540202139.054 * * [misc]simplify: iters left: 6 (19 enodes) 1540202139.062 * * [misc]simplify: iters left: 5 (26 enodes) 1540202139.069 * * [misc]simplify: iters left: 4 (37 enodes) 1540202139.080 * * [misc]simplify: iters left: 3 (52 enodes) 1540202139.087 * * [misc]simplify: iters left: 2 (69 enodes) 1540202139.096 * * [misc]simplify: iters left: 1 (86 enodes) 1540202139.108 * [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)))))) 1540202139.108 * [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)))))))) 1540202139.109 * * * * [misc]progress: [ 838 / 6878 ] simplifiying candidate # 1540202139.109 * [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)))))) 1540202139.109 * * [misc]simplify: iters left: 6 (18 enodes) 1540202139.115 * * [misc]simplify: iters left: 5 (26 enodes) 1540202139.122 * * [misc]simplify: iters left: 4 (39 enodes) 1540202139.133 * * [misc]simplify: iters left: 3 (54 enodes) 1540202139.148 * * [misc]simplify: iters left: 2 (71 enodes) 1540202139.168 * * [misc]simplify: iters left: 1 (88 enodes) 1540202139.186 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202139.186 * [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)))))))) 1540202139.186 * [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)))))) 1540202139.186 * * [misc]simplify: iters left: 6 (19 enodes) 1540202139.189 * * [misc]simplify: iters left: 5 (26 enodes) 1540202139.192 * * [misc]simplify: iters left: 4 (37 enodes) 1540202139.197 * * [misc]simplify: iters left: 3 (52 enodes) 1540202139.204 * * [misc]simplify: iters left: 2 (69 enodes) 1540202139.213 * * [misc]simplify: iters left: 1 (86 enodes) 1540202139.231 * [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)))))) 1540202139.231 * [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)))))))) 1540202139.231 * * * * [misc]progress: [ 839 / 6878 ] simplifiying candidate # 1540202139.232 * [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))) 1540202139.232 * * [misc]simplify: iters left: 6 (17 enodes) 1540202139.237 * * [misc]simplify: iters left: 5 (28 enodes) 1540202139.242 * * [misc]simplify: iters left: 4 (56 enodes) 1540202139.254 * * [misc]simplify: iters left: 3 (158 enodes) 1540202139.298 * * [misc]simplify: iters left: 2 (409 enodes) 1540202139.544 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202139.544 * [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))))))) 1540202139.544 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202139.544 * * [misc]simplify: iters left: 6 (17 enodes) 1540202139.546 * * [misc]simplify: iters left: 5 (25 enodes) 1540202139.550 * * [misc]simplify: iters left: 4 (43 enodes) 1540202139.562 * * [misc]simplify: iters left: 3 (91 enodes) 1540202139.582 * * [misc]simplify: iters left: 2 (178 enodes) 1540202139.632 * * [misc]simplify: iters left: 1 (319 enodes) 1540202139.795 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540202139.795 * [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))))))) 1540202139.795 * * * * [misc]progress: [ 840 / 6878 ] simplifiying candidate # 1540202139.796 * [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))) 1540202139.796 * * [misc]simplify: iters left: 6 (17 enodes) 1540202139.802 * * [misc]simplify: iters left: 5 (28 enodes) 1540202139.813 * * [misc]simplify: iters left: 4 (56 enodes) 1540202139.830 * * [misc]simplify: iters left: 3 (158 enodes) 1540202139.877 * * [misc]simplify: iters left: 2 (409 enodes) 1540202140.147 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202140.147 * [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))))))) 1540202140.147 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202140.148 * * [misc]simplify: iters left: 6 (17 enodes) 1540202140.150 * * [misc]simplify: iters left: 5 (25 enodes) 1540202140.154 * * [misc]simplify: iters left: 4 (43 enodes) 1540202140.160 * * [misc]simplify: iters left: 3 (91 enodes) 1540202140.182 * * [misc]simplify: iters left: 2 (178 enodes) 1540202140.232 * * [misc]simplify: iters left: 1 (319 enodes) 1540202140.375 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540202140.375 * [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))))))) 1540202140.375 * * * * [misc]progress: [ 841 / 6878 ] simplifiying candidate # 1540202140.375 * [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))))))) 1540202140.375 * * [misc]simplify: iters left: 6 (21 enodes) 1540202140.382 * * [misc]simplify: iters left: 5 (37 enodes) 1540202140.392 * * [misc]simplify: iters left: 4 (88 enodes) 1540202140.412 * * [misc]simplify: iters left: 3 (262 enodes) 1540202140.554 * [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)))))) 1540202140.554 * [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)))))))) 1540202140.554 * [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)))))) 1540202140.554 * * [misc]simplify: iters left: 6 (20 enodes) 1540202140.560 * * [misc]simplify: iters left: 5 (29 enodes) 1540202140.568 * * [misc]simplify: iters left: 4 (48 enodes) 1540202140.575 * * [misc]simplify: iters left: 3 (96 enodes) 1540202140.597 * * [misc]simplify: iters left: 2 (183 enodes) 1540202140.676 * * [misc]simplify: iters left: 1 (325 enodes) 1540202140.885 * [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))))) 1540202140.885 * [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))))))) 1540202140.885 * * * * [misc]progress: [ 842 / 6878 ] simplifiying candidate # 1540202140.885 * [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)))))) 1540202140.885 * * [misc]simplify: iters left: 6 (20 enodes) 1540202140.888 * * [misc]simplify: iters left: 5 (32 enodes) 1540202140.893 * * [misc]simplify: iters left: 4 (63 enodes) 1540202140.905 * * [misc]simplify: iters left: 3 (165 enodes) 1540202140.984 * * [misc]simplify: iters left: 2 (420 enodes) 1540202141.291 * [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)))))) 1540202141.292 * [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)))))))) 1540202141.292 * [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)))))) 1540202141.292 * * [misc]simplify: iters left: 6 (20 enodes) 1540202141.295 * * [misc]simplify: iters left: 5 (29 enodes) 1540202141.299 * * [misc]simplify: iters left: 4 (48 enodes) 1540202141.309 * * [misc]simplify: iters left: 3 (96 enodes) 1540202141.346 * * [misc]simplify: iters left: 2 (183 enodes) 1540202141.403 * * [misc]simplify: iters left: 1 (325 enodes) 1540202141.566 * [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))))) 1540202141.566 * [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))))))) 1540202141.566 * * * * [misc]progress: [ 843 / 6878 ] simplifiying candidate # 1540202141.567 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202141.567 * * [misc]simplify: iters left: 6 (16 enodes) 1540202141.571 * * [misc]simplify: iters left: 5 (28 enodes) 1540202141.580 * * [misc]simplify: iters left: 4 (56 enodes) 1540202141.598 * * [misc]simplify: iters left: 3 (111 enodes) 1540202141.648 * * [misc]simplify: iters left: 2 (306 enodes) 1540202141.873 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202141.873 * [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))))))) 1540202141.873 * [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))))) 1540202141.873 * * [misc]simplify: iters left: 6 (19 enodes) 1540202141.876 * * [misc]simplify: iters left: 5 (28 enodes) 1540202141.880 * * [misc]simplify: iters left: 4 (47 enodes) 1540202141.887 * * [misc]simplify: iters left: 3 (95 enodes) 1540202141.905 * * [misc]simplify: iters left: 2 (182 enodes) 1540202141.965 * * [misc]simplify: iters left: 1 (322 enodes) 1540202142.095 * [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)))))) 1540202142.095 * [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)))))))) 1540202142.095 * * * * [misc]progress: [ 844 / 6878 ] simplifiying candidate # 1540202142.095 * [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))) 1540202142.095 * * [misc]simplify: iters left: 6 (18 enodes) 1540202142.099 * * [misc]simplify: iters left: 5 (28 enodes) 1540202142.104 * * [misc]simplify: iters left: 4 (46 enodes) 1540202142.112 * * [misc]simplify: iters left: 3 (94 enodes) 1540202142.130 * * [misc]simplify: iters left: 2 (181 enodes) 1540202142.171 * * [misc]simplify: iters left: 1 (322 enodes) 1540202142.326 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202142.326 * [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))))))) 1540202142.326 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202142.327 * * [misc]simplify: iters left: 6 (18 enodes) 1540202142.329 * * [misc]simplify: iters left: 5 (26 enodes) 1540202142.333 * * [misc]simplify: iters left: 4 (44 enodes) 1540202142.340 * * [misc]simplify: iters left: 3 (92 enodes) 1540202142.357 * * [misc]simplify: iters left: 2 (179 enodes) 1540202142.398 * * [misc]simplify: iters left: 1 (315 enodes) 1540202142.582 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202142.582 * [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))))) 1540202142.582 * * * * [misc]progress: [ 845 / 6878 ] simplifiying candidate # 1540202142.583 * [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))) 1540202142.583 * * [misc]simplify: iters left: 6 (18 enodes) 1540202142.586 * * [misc]simplify: iters left: 5 (28 enodes) 1540202142.590 * * [misc]simplify: iters left: 4 (46 enodes) 1540202142.598 * * [misc]simplify: iters left: 3 (94 enodes) 1540202142.616 * * [misc]simplify: iters left: 2 (181 enodes) 1540202142.685 * * [misc]simplify: iters left: 1 (322 enodes) 1540202142.866 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202142.866 * [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))))))) 1540202142.866 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202142.866 * * [misc]simplify: iters left: 6 (18 enodes) 1540202142.869 * * [misc]simplify: iters left: 5 (26 enodes) 1540202142.873 * * [misc]simplify: iters left: 4 (44 enodes) 1540202142.879 * * [misc]simplify: iters left: 3 (92 enodes) 1540202142.902 * * [misc]simplify: iters left: 2 (179 enodes) 1540202142.980 * * [misc]simplify: iters left: 1 (315 enodes) 1540202143.128 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202143.128 * [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))))) 1540202143.128 * * * * [misc]progress: [ 846 / 6878 ] simplifiying candidate # 1540202143.128 * [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))))))) 1540202143.129 * * [misc]simplify: iters left: 6 (22 enodes) 1540202143.136 * * [misc]simplify: iters left: 5 (35 enodes) 1540202143.146 * * [misc]simplify: iters left: 4 (62 enodes) 1540202143.169 * * [misc]simplify: iters left: 3 (141 enodes) 1540202143.237 * * [misc]simplify: iters left: 2 (337 enodes) 1540202143.433 * [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)))))) 1540202143.433 * [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)))))))) 1540202143.433 * [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)))))) 1540202143.434 * * [misc]simplify: iters left: 6 (21 enodes) 1540202143.440 * * [misc]simplify: iters left: 5 (30 enodes) 1540202143.449 * * [misc]simplify: iters left: 4 (49 enodes) 1540202143.465 * * [misc]simplify: iters left: 3 (97 enodes) 1540202143.505 * * [misc]simplify: iters left: 2 (184 enodes) 1540202143.586 * * [misc]simplify: iters left: 1 (320 enodes) 1540202143.795 * [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)))))) 1540202143.795 * [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)))))))) 1540202143.795 * * * * [misc]progress: [ 847 / 6878 ] simplifiying candidate # 1540202143.795 * [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)))))) 1540202143.795 * * [misc]simplify: iters left: 6 (21 enodes) 1540202143.801 * * [misc]simplify: iters left: 5 (32 enodes) 1540202143.805 * * [misc]simplify: iters left: 4 (53 enodes) 1540202143.813 * * [misc]simplify: iters left: 3 (101 enodes) 1540202143.833 * * [misc]simplify: iters left: 2 (188 enodes) 1540202143.892 * * [misc]simplify: iters left: 1 (325 enodes) 1540202144.037 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1540202144.037 * [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)))))))) 1540202144.038 * [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)))))) 1540202144.038 * * [misc]simplify: iters left: 6 (21 enodes) 1540202144.041 * * [misc]simplify: iters left: 5 (30 enodes) 1540202144.045 * * [misc]simplify: iters left: 4 (49 enodes) 1540202144.052 * * [misc]simplify: iters left: 3 (97 enodes) 1540202144.071 * * [misc]simplify: iters left: 2 (184 enodes) 1540202144.151 * * [misc]simplify: iters left: 1 (320 enodes) 1540202144.266 * [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)))))) 1540202144.268 * [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)))))))) 1540202144.268 * * * * [misc]progress: [ 848 / 6878 ] simplifiying candidate # 1540202144.268 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202144.268 * * [misc]simplify: iters left: 6 (17 enodes) 1540202144.273 * * [misc]simplify: iters left: 5 (27 enodes) 1540202144.281 * * [misc]simplify: iters left: 4 (42 enodes) 1540202144.294 * * [misc]simplify: iters left: 3 (76 enodes) 1540202144.319 * * [misc]simplify: iters left: 2 (155 enodes) 1540202144.376 * * [misc]simplify: iters left: 1 (338 enodes) 1540202144.579 * [exit]simplify: Simplified to (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202144.579 * [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))))))) 1540202144.579 * [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))))) 1540202144.579 * * [misc]simplify: iters left: 6 (20 enodes) 1540202144.585 * * [misc]simplify: iters left: 5 (29 enodes) 1540202144.594 * * [misc]simplify: iters left: 4 (48 enodes) 1540202144.609 * * [misc]simplify: iters left: 3 (96 enodes) 1540202144.645 * * [misc]simplify: iters left: 2 (183 enodes) 1540202144.717 * * [misc]simplify: iters left: 1 (325 enodes) 1540202144.866 * [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))))) 1540202144.866 * [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))))))) 1540202144.867 * * * * [misc]progress: [ 849 / 6878 ] simplifiying candidate # 1540202144.867 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202144.867 * * [misc]simplify: iters left: 6 (15 enodes) 1540202144.873 * * [misc]simplify: iters left: 5 (24 enodes) 1540202144.880 * * [misc]simplify: iters left: 4 (41 enodes) 1540202144.894 * * [misc]simplify: iters left: 3 (86 enodes) 1540202144.911 * * [misc]simplify: iters left: 2 (151 enodes) 1540202144.963 * * [misc]simplify: iters left: 1 (230 enodes) 1540202145.043 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202145.043 * [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))))))) 1540202145.043 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202145.043 * * [misc]simplify: iters left: 6 (16 enodes) 1540202145.048 * * [misc]simplify: iters left: 5 (24 enodes) 1540202145.055 * * [misc]simplify: iters left: 4 (41 enodes) 1540202145.068 * * [misc]simplify: iters left: 3 (86 enodes) 1540202145.100 * * [misc]simplify: iters left: 2 (151 enodes) 1540202145.153 * * [misc]simplify: iters left: 1 (234 enodes) 1540202145.229 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202145.229 * [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)))))) 1540202145.229 * * * * [misc]progress: [ 850 / 6878 ] simplifiying candidate # 1540202145.229 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202145.230 * * [misc]simplify: iters left: 6 (15 enodes) 1540202145.232 * * [misc]simplify: iters left: 5 (24 enodes) 1540202145.237 * * [misc]simplify: iters left: 4 (41 enodes) 1540202145.244 * * [misc]simplify: iters left: 3 (86 enodes) 1540202145.265 * * [misc]simplify: iters left: 2 (151 enodes) 1540202145.320 * * [misc]simplify: iters left: 1 (230 enodes) 1540202145.374 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202145.374 * [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))))))) 1540202145.374 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202145.374 * * [misc]simplify: iters left: 6 (16 enodes) 1540202145.376 * * [misc]simplify: iters left: 5 (24 enodes) 1540202145.380 * * [misc]simplify: iters left: 4 (41 enodes) 1540202145.387 * * [misc]simplify: iters left: 3 (86 enodes) 1540202145.409 * * [misc]simplify: iters left: 2 (151 enodes) 1540202145.472 * * [misc]simplify: iters left: 1 (234 enodes) 1540202145.586 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202145.586 * [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)))))) 1540202145.587 * * * * [misc]progress: [ 851 / 6878 ] simplifiying candidate # 1540202145.587 * [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))))))) 1540202145.587 * * [misc]simplify: iters left: 6 (19 enodes) 1540202145.593 * * [misc]simplify: iters left: 5 (31 enodes) 1540202145.602 * * [misc]simplify: iters left: 4 (57 enodes) 1540202145.622 * * [misc]simplify: iters left: 3 (133 enodes) 1540202145.663 * * [misc]simplify: iters left: 2 (298 enodes) 1540202145.844 * [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)))))) 1540202145.844 * [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)))))))) 1540202145.844 * [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)))))) 1540202145.844 * * [misc]simplify: iters left: 6 (19 enodes) 1540202145.847 * * [misc]simplify: iters left: 5 (28 enodes) 1540202145.851 * * [misc]simplify: iters left: 4 (46 enodes) 1540202145.858 * * [misc]simplify: iters left: 3 (91 enodes) 1540202145.874 * * [misc]simplify: iters left: 2 (156 enodes) 1540202145.915 * * [misc]simplify: iters left: 1 (236 enodes) 1540202145.985 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202145.986 * [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)))))))) 1540202145.986 * * * * [misc]progress: [ 852 / 6878 ] simplifiying candidate # 1540202145.986 * [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)))))) 1540202145.986 * * [misc]simplify: iters left: 6 (18 enodes) 1540202145.989 * * [misc]simplify: iters left: 5 (28 enodes) 1540202145.992 * * [misc]simplify: iters left: 4 (48 enodes) 1540202146.000 * * [misc]simplify: iters left: 3 (93 enodes) 1540202146.018 * * [misc]simplify: iters left: 2 (158 enodes) 1540202146.051 * * [misc]simplify: iters left: 1 (243 enodes) 1540202146.108 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202146.108 * [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)))))))) 1540202146.108 * [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)))))) 1540202146.108 * * [misc]simplify: iters left: 6 (19 enodes) 1540202146.111 * * [misc]simplify: iters left: 5 (28 enodes) 1540202146.115 * * [misc]simplify: iters left: 4 (46 enodes) 1540202146.122 * * [misc]simplify: iters left: 3 (91 enodes) 1540202146.138 * * [misc]simplify: iters left: 2 (156 enodes) 1540202146.199 * * [misc]simplify: iters left: 1 (236 enodes) 1540202146.268 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202146.268 * [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)))))))) 1540202146.269 * * * * [misc]progress: [ 853 / 6878 ] simplifiying candidate # 1540202146.269 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202146.269 * * [misc]simplify: iters left: 6 (14 enodes) 1540202146.271 * * [misc]simplify: iters left: 5 (24 enodes) 1540202146.275 * * [misc]simplify: iters left: 4 (45 enodes) 1540202146.281 * * [misc]simplify: iters left: 3 (68 enodes) 1540202146.291 * * [misc]simplify: iters left: 2 (101 enodes) 1540202146.310 * * [misc]simplify: iters left: 1 (157 enodes) 1540202146.348 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202146.348 * [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))))))) 1540202146.348 * [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))))) 1540202146.348 * * [misc]simplify: iters left: 6 (18 enodes) 1540202146.350 * * [misc]simplify: iters left: 5 (27 enodes) 1540202146.354 * * [misc]simplify: iters left: 4 (45 enodes) 1540202146.361 * * [misc]simplify: iters left: 3 (90 enodes) 1540202146.381 * * [misc]simplify: iters left: 2 (155 enodes) 1540202146.414 * * [misc]simplify: iters left: 1 (239 enodes) 1540202146.481 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202146.481 * [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))))))) 1540202146.481 * * * * [misc]progress: [ 854 / 6878 ] simplifiying candidate # 1540202146.481 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202146.481 * * [misc]simplify: iters left: 6 (17 enodes) 1540202146.485 * * [misc]simplify: iters left: 5 (28 enodes) 1540202146.489 * * [misc]simplify: iters left: 4 (48 enodes) 1540202146.498 * * [misc]simplify: iters left: 3 (115 enodes) 1540202146.523 * * [misc]simplify: iters left: 2 (271 enodes) 1540202146.657 * * [misc]simplify: iters left: 1 (496 enodes) 1540202147.052 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540202147.052 * [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 (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540202147.052 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202147.052 * * [misc]simplify: iters left: 6 (16 enodes) 1540202147.057 * * [misc]simplify: iters left: 5 (24 enodes) 1540202147.065 * * [misc]simplify: iters left: 4 (42 enodes) 1540202147.082 * * [misc]simplify: iters left: 3 (90 enodes) 1540202147.116 * * [misc]simplify: iters left: 2 (177 enodes) 1540202147.193 * * [misc]simplify: iters left: 1 (315 enodes) 1540202147.319 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202147.319 * [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)))))) 1540202147.319 * * * * [misc]progress: [ 855 / 6878 ] simplifiying candidate # 1540202147.319 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202147.319 * * [misc]simplify: iters left: 6 (17 enodes) 1540202147.323 * * [misc]simplify: iters left: 5 (28 enodes) 1540202147.328 * * [misc]simplify: iters left: 4 (48 enodes) 1540202147.338 * * [misc]simplify: iters left: 3 (115 enodes) 1540202147.368 * * [misc]simplify: iters left: 2 (271 enodes) 1540202147.519 * * [misc]simplify: iters left: 1 (496 enodes) 1540202147.848 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540202147.848 * [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))))))) 1540202147.849 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202147.849 * * [misc]simplify: iters left: 6 (16 enodes) 1540202147.851 * * [misc]simplify: iters left: 5 (24 enodes) 1540202147.858 * * [misc]simplify: iters left: 4 (42 enodes) 1540202147.872 * * [misc]simplify: iters left: 3 (90 enodes) 1540202147.893 * * [misc]simplify: iters left: 2 (177 enodes) 1540202147.948 * * [misc]simplify: iters left: 1 (315 enodes) 1540202148.101 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202148.101 * [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)))))) 1540202148.101 * * * * [misc]progress: [ 856 / 6878 ] simplifiying candidate # 1540202148.101 * [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))))))) 1540202148.101 * * [misc]simplify: iters left: 6 (21 enodes) 1540202148.108 * * [misc]simplify: iters left: 5 (35 enodes) 1540202148.118 * * [misc]simplify: iters left: 4 (65 enodes) 1540202148.142 * * [misc]simplify: iters left: 3 (171 enodes) 1540202148.229 * * [misc]simplify: iters left: 2 (455 enodes) 1540202148.618 * [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)))) 1540202148.618 * [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)))))))) 1540202148.618 * [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)))))) 1540202148.619 * * [misc]simplify: iters left: 6 (19 enodes) 1540202148.624 * * [misc]simplify: iters left: 5 (28 enodes) 1540202148.632 * * [misc]simplify: iters left: 4 (47 enodes) 1540202148.648 * * [misc]simplify: iters left: 3 (95 enodes) 1540202148.689 * * [misc]simplify: iters left: 2 (182 enodes) 1540202148.743 * * [misc]simplify: iters left: 1 (320 enodes) 1540202148.872 * [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)))))) 1540202148.872 * [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)))))))) 1540202148.872 * * * * [misc]progress: [ 857 / 6878 ] simplifiying candidate # 1540202148.872 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202148.872 * * [misc]simplify: iters left: 6 (20 enodes) 1540202148.875 * * [misc]simplify: iters left: 5 (32 enodes) 1540202148.884 * * [misc]simplify: iters left: 4 (55 enodes) 1540202148.902 * * [misc]simplify: iters left: 3 (122 enodes) 1540202148.957 * * [misc]simplify: iters left: 2 (285 enodes) 1540202149.152 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202149.152 * [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)))))))) 1540202149.152 * [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)))))) 1540202149.152 * * [misc]simplify: iters left: 6 (19 enodes) 1540202149.158 * * [misc]simplify: iters left: 5 (28 enodes) 1540202149.169 * * [misc]simplify: iters left: 4 (47 enodes) 1540202149.184 * * [misc]simplify: iters left: 3 (95 enodes) 1540202149.220 * * [misc]simplify: iters left: 2 (182 enodes) 1540202149.284 * * [misc]simplify: iters left: 1 (320 enodes) 1540202149.435 * [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)))))) 1540202149.435 * [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)))))))) 1540202149.435 * * * * [misc]progress: [ 858 / 6878 ] simplifiying candidate # 1540202149.436 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202149.436 * * [misc]simplify: iters left: 6 (15 enodes) 1540202149.439 * * [misc]simplify: iters left: 5 (25 enodes) 1540202149.446 * * [misc]simplify: iters left: 4 (33 enodes) 1540202149.456 * * [misc]simplify: iters left: 3 (55 enodes) 1540202149.472 * * [misc]simplify: iters left: 2 (89 enodes) 1540202149.518 * * [misc]simplify: iters left: 1 (147 enodes) 1540202149.609 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202149.609 * [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))))))) 1540202149.610 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202149.610 * * [misc]simplify: iters left: 6 (18 enodes) 1540202149.615 * * [misc]simplify: iters left: 5 (27 enodes) 1540202149.623 * * [misc]simplify: iters left: 4 (46 enodes) 1540202149.636 * * [misc]simplify: iters left: 3 (94 enodes) 1540202149.671 * * [misc]simplify: iters left: 2 (181 enodes) 1540202149.752 * * [misc]simplify: iters left: 1 (322 enodes) 1540202149.901 * [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)))) 1540202149.901 * [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)))))) 1540202149.901 * * * * [misc]progress: [ 859 / 6878 ] simplifiying candidate # 1540202149.901 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202149.901 * * [misc]simplify: iters left: 6 (15 enodes) 1540202149.904 * * [misc]simplify: iters left: 5 (24 enodes) 1540202149.912 * * [misc]simplify: iters left: 4 (41 enodes) 1540202149.926 * * [misc]simplify: iters left: 3 (86 enodes) 1540202149.959 * * [misc]simplify: iters left: 2 (151 enodes) 1540202150.012 * * [misc]simplify: iters left: 1 (230 enodes) 1540202150.094 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202150.094 * [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))))))) 1540202150.094 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202150.094 * * [misc]simplify: iters left: 6 (16 enodes) 1540202150.099 * * [misc]simplify: iters left: 5 (24 enodes) 1540202150.107 * * [misc]simplify: iters left: 4 (41 enodes) 1540202150.120 * * [misc]simplify: iters left: 3 (86 enodes) 1540202150.150 * * [misc]simplify: iters left: 2 (151 enodes) 1540202150.198 * * [misc]simplify: iters left: 1 (234 enodes) 1540202150.272 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202150.272 * [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)))))) 1540202150.272 * * * * [misc]progress: [ 860 / 6878 ] simplifiying candidate # 1540202150.272 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202150.272 * * [misc]simplify: iters left: 6 (15 enodes) 1540202150.278 * * [misc]simplify: iters left: 5 (24 enodes) 1540202150.285 * * [misc]simplify: iters left: 4 (41 enodes) 1540202150.292 * * [misc]simplify: iters left: 3 (86 enodes) 1540202150.308 * * [misc]simplify: iters left: 2 (151 enodes) 1540202150.369 * * [misc]simplify: iters left: 1 (230 enodes) 1540202150.459 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202150.459 * [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))))))) 1540202150.459 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202150.459 * * [misc]simplify: iters left: 6 (16 enodes) 1540202150.461 * * [misc]simplify: iters left: 5 (24 enodes) 1540202150.465 * * [misc]simplify: iters left: 4 (41 enodes) 1540202150.473 * * [misc]simplify: iters left: 3 (86 enodes) 1540202150.490 * * [misc]simplify: iters left: 2 (151 enodes) 1540202150.533 * * [misc]simplify: iters left: 1 (234 enodes) 1540202150.618 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202150.618 * [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)))))) 1540202150.618 * * * * [misc]progress: [ 861 / 6878 ] simplifiying candidate # 1540202150.619 * [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))))))) 1540202150.619 * * [misc]simplify: iters left: 6 (19 enodes) 1540202150.624 * * [misc]simplify: iters left: 5 (31 enodes) 1540202150.634 * * [misc]simplify: iters left: 4 (57 enodes) 1540202150.656 * * [misc]simplify: iters left: 3 (133 enodes) 1540202150.701 * * [misc]simplify: iters left: 2 (298 enodes) 1540202150.853 * [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)))))) 1540202150.853 * [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)))))))) 1540202150.853 * [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)))))) 1540202150.853 * * [misc]simplify: iters left: 6 (19 enodes) 1540202150.856 * * [misc]simplify: iters left: 5 (28 enodes) 1540202150.860 * * [misc]simplify: iters left: 4 (46 enodes) 1540202150.867 * * [misc]simplify: iters left: 3 (91 enodes) 1540202150.885 * * [misc]simplify: iters left: 2 (156 enodes) 1540202150.946 * * [misc]simplify: iters left: 1 (236 enodes) 1540202151.026 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202151.027 * [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)))))))) 1540202151.027 * * * * [misc]progress: [ 862 / 6878 ] simplifiying candidate # 1540202151.027 * [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)))))) 1540202151.027 * * [misc]simplify: iters left: 6 (18 enodes) 1540202151.033 * * [misc]simplify: iters left: 5 (28 enodes) 1540202151.041 * * [misc]simplify: iters left: 4 (48 enodes) 1540202151.056 * * [misc]simplify: iters left: 3 (93 enodes) 1540202151.080 * * [misc]simplify: iters left: 2 (158 enodes) 1540202151.129 * * [misc]simplify: iters left: 1 (243 enodes) 1540202151.188 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202151.188 * [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)))))))) 1540202151.188 * [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)))))) 1540202151.188 * * [misc]simplify: iters left: 6 (19 enodes) 1540202151.191 * * [misc]simplify: iters left: 5 (28 enodes) 1540202151.195 * * [misc]simplify: iters left: 4 (46 enodes) 1540202151.205 * * [misc]simplify: iters left: 3 (91 enodes) 1540202151.237 * * [misc]simplify: iters left: 2 (156 enodes) 1540202151.275 * * [misc]simplify: iters left: 1 (236 enodes) 1540202151.355 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202151.355 * [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)))))))) 1540202151.356 * * * * [misc]progress: [ 863 / 6878 ] simplifiying candidate # 1540202151.356 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202151.356 * * [misc]simplify: iters left: 6 (14 enodes) 1540202151.361 * * [misc]simplify: iters left: 5 (24 enodes) 1540202151.369 * * [misc]simplify: iters left: 4 (45 enodes) 1540202151.383 * * [misc]simplify: iters left: 3 (68 enodes) 1540202151.397 * * [misc]simplify: iters left: 2 (101 enodes) 1540202151.416 * * [misc]simplify: iters left: 1 (157 enodes) 1540202151.469 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202151.469 * [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))))))) 1540202151.470 * [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))))) 1540202151.470 * * [misc]simplify: iters left: 6 (18 enodes) 1540202151.472 * * [misc]simplify: iters left: 5 (27 enodes) 1540202151.476 * * [misc]simplify: iters left: 4 (45 enodes) 1540202151.487 * * [misc]simplify: iters left: 3 (90 enodes) 1540202151.520 * * [misc]simplify: iters left: 2 (155 enodes) 1540202151.585 * * [misc]simplify: iters left: 1 (239 enodes) 1540202151.654 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202151.654 * [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))))))) 1540202151.654 * * * * [misc]progress: [ 864 / 6878 ] simplifiying candidate # 1540202151.655 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202151.655 * * [misc]simplify: iters left: 6 (16 enodes) 1540202151.660 * * [misc]simplify: iters left: 5 (27 enodes) 1540202151.669 * * [misc]simplify: iters left: 4 (43 enodes) 1540202151.684 * * [misc]simplify: iters left: 3 (95 enodes) 1540202151.705 * * [misc]simplify: iters left: 2 (200 enodes) 1540202151.788 * * [misc]simplify: iters left: 1 (409 enodes) 1540202152.076 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202152.076 * [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))))))) 1540202152.076 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202152.076 * * [misc]simplify: iters left: 6 (16 enodes) 1540202152.081 * * [misc]simplify: iters left: 5 (24 enodes) 1540202152.089 * * [misc]simplify: iters left: 4 (42 enodes) 1540202152.103 * * [misc]simplify: iters left: 3 (90 enodes) 1540202152.138 * * [misc]simplify: iters left: 2 (177 enodes) 1540202152.190 * * [misc]simplify: iters left: 1 (315 enodes) 1540202152.330 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202152.330 * [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)))))) 1540202152.330 * * * * [misc]progress: [ 865 / 6878 ] simplifiying candidate # 1540202152.330 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202152.331 * * [misc]simplify: iters left: 6 (16 enodes) 1540202152.334 * * [misc]simplify: iters left: 5 (27 enodes) 1540202152.338 * * [misc]simplify: iters left: 4 (43 enodes) 1540202152.347 * * [misc]simplify: iters left: 3 (95 enodes) 1540202152.382 * * [misc]simplify: iters left: 2 (200 enodes) 1540202152.488 * * [misc]simplify: iters left: 1 (409 enodes) 1540202153.155 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202153.155 * [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))))))) 1540202153.155 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202153.155 * * [misc]simplify: iters left: 6 (16 enodes) 1540202153.158 * * [misc]simplify: iters left: 5 (24 enodes) 1540202153.163 * * [misc]simplify: iters left: 4 (42 enodes) 1540202153.172 * * [misc]simplify: iters left: 3 (90 enodes) 1540202153.191 * * [misc]simplify: iters left: 2 (177 enodes) 1540202153.272 * * [misc]simplify: iters left: 1 (315 enodes) 1540202153.393 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202153.393 * [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)))))) 1540202153.393 * * * * [misc]progress: [ 866 / 6878 ] simplifiying candidate # 1540202153.393 * [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))))))) 1540202153.393 * * [misc]simplify: iters left: 6 (20 enodes) 1540202153.396 * * [misc]simplify: iters left: 5 (34 enodes) 1540202153.401 * * [misc]simplify: iters left: 4 (59 enodes) 1540202153.418 * * [misc]simplify: iters left: 3 (153 enodes) 1540202153.465 * * [misc]simplify: iters left: 2 (394 enodes) 1540202153.703 * [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))))) 1540202153.703 * [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)))))))) 1540202153.704 * [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)))))) 1540202153.704 * * [misc]simplify: iters left: 6 (19 enodes) 1540202153.706 * * [misc]simplify: iters left: 5 (28 enodes) 1540202153.710 * * [misc]simplify: iters left: 4 (47 enodes) 1540202153.719 * * [misc]simplify: iters left: 3 (95 enodes) 1540202153.750 * * [misc]simplify: iters left: 2 (182 enodes) 1540202153.788 * * [misc]simplify: iters left: 1 (320 enodes) 1540202153.922 * [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)))))) 1540202153.922 * [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)))))))) 1540202153.922 * * * * [misc]progress: [ 867 / 6878 ] simplifiying candidate # 1540202153.922 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202153.922 * * [misc]simplify: iters left: 6 (19 enodes) 1540202153.928 * * [misc]simplify: iters left: 5 (31 enodes) 1540202153.937 * * [misc]simplify: iters left: 4 (50 enodes) 1540202153.953 * * [misc]simplify: iters left: 3 (102 enodes) 1540202153.990 * * [misc]simplify: iters left: 2 (206 enodes) 1540202154.081 * * [misc]simplify: iters left: 1 (437 enodes) 1540202154.498 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202154.498 * [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)))))))) 1540202154.499 * [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)))))) 1540202154.499 * * [misc]simplify: iters left: 6 (19 enodes) 1540202154.504 * * [misc]simplify: iters left: 5 (28 enodes) 1540202154.513 * * [misc]simplify: iters left: 4 (47 enodes) 1540202154.523 * * [misc]simplify: iters left: 3 (95 enodes) 1540202154.541 * * [misc]simplify: iters left: 2 (182 enodes) 1540202154.595 * * [misc]simplify: iters left: 1 (320 enodes) 1540202154.719 * [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)))))) 1540202154.719 * [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)))))))) 1540202154.719 * * * * [misc]progress: [ 868 / 6878 ] simplifiying candidate # 1540202154.719 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 1)) 1540202154.719 * * [misc]simplify: iters left: 6 (14 enodes) 1540202154.723 * * [misc]simplify: iters left: 5 (22 enodes) 1540202154.729 * * [misc]simplify: iters left: 4 (30 enodes) 1540202154.737 * * [misc]simplify: iters left: 3 (45 enodes) 1540202154.749 * * [misc]simplify: iters left: 2 (68 enodes) 1540202154.767 * * [misc]simplify: iters left: 1 (86 enodes) 1540202154.785 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202154.785 * [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))))))) 1540202154.786 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202154.786 * * [misc]simplify: iters left: 6 (18 enodes) 1540202154.788 * * [misc]simplify: iters left: 5 (27 enodes) 1540202154.792 * * [misc]simplify: iters left: 4 (46 enodes) 1540202154.799 * * [misc]simplify: iters left: 3 (94 enodes) 1540202154.817 * * [misc]simplify: iters left: 2 (181 enodes) 1540202154.870 * * [misc]simplify: iters left: 1 (322 enodes) 1540202154.989 * [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)))) 1540202154.989 * [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)))))) 1540202154.989 * * * * [misc]progress: [ 869 / 6878 ] simplifiying candidate # 1540202154.989 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1) 1540202154.989 * * [misc]simplify: iters left: 6 (13 enodes) 1540202154.991 * * [misc]simplify: iters left: 5 (21 enodes) 1540202154.994 * * [misc]simplify: iters left: 4 (31 enodes) 1540202154.998 * * [misc]simplify: iters left: 3 (50 enodes) 1540202155.005 * * [misc]simplify: iters left: 2 (81 enodes) 1540202155.019 * * [misc]simplify: iters left: 1 (100 enodes) 1540202155.046 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202155.046 * [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))))))) 1540202155.046 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202155.046 * * [misc]simplify: iters left: 6 (18 enodes) 1540202155.052 * * [misc]simplify: iters left: 5 (27 enodes) 1540202155.060 * * [misc]simplify: iters left: 4 (46 enodes) 1540202155.075 * * [misc]simplify: iters left: 3 (94 enodes) 1540202155.111 * * [misc]simplify: iters left: 2 (181 enodes) 1540202155.159 * * [misc]simplify: iters left: 1 (322 enodes) 1540202155.310 * [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)))) 1540202155.310 * [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)))))) 1540202155.310 * * * * [misc]progress: [ 870 / 6878 ] simplifiying candidate # 1540202155.311 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (sqrt k))) 1540202155.311 * * [misc]simplify: iters left: 6 (12 enodes) 1540202155.312 * * [misc]simplify: iters left: 5 (18 enodes) 1540202155.315 * * [misc]simplify: iters left: 4 (28 enodes) 1540202155.318 * * [misc]simplify: iters left: 3 (43 enodes) 1540202155.324 * * [misc]simplify: iters left: 2 (60 enodes) 1540202155.332 * * [misc]simplify: iters left: 1 (77 enodes) 1540202155.342 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202155.343 * [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))))))) 1540202155.343 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202155.343 * * [misc]simplify: iters left: 6 (19 enodes) 1540202155.345 * * [misc]simplify: iters left: 5 (30 enodes) 1540202155.350 * * [misc]simplify: iters left: 4 (47 enodes) 1540202155.357 * * [misc]simplify: iters left: 3 (99 enodes) 1540202155.376 * * [misc]simplify: iters left: 2 (206 enodes) 1540202155.491 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202155.491 * [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)))))) 1540202155.491 * * * * [misc]progress: [ 871 / 6878 ] simplifiying candidate # 1540202155.491 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202155.492 * * [misc]simplify: iters left: 6 (15 enodes) 1540202155.497 * * [misc]simplify: iters left: 5 (24 enodes) 1540202155.504 * * [misc]simplify: iters left: 4 (42 enodes) 1540202155.511 * * [misc]simplify: iters left: 3 (90 enodes) 1540202155.529 * * [misc]simplify: iters left: 2 (177 enodes) 1540202155.576 * * [misc]simplify: iters left: 1 (319 enodes) 1540202155.744 * [exit]simplify: Simplified to (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540202155.744 * [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))))) 1540202155.745 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202155.745 * * [misc]simplify: iters left: 6 (15 enodes) 1540202155.749 * * [misc]simplify: iters left: 5 (21 enodes) 1540202155.755 * * [misc]simplify: iters left: 4 (31 enodes) 1540202155.764 * * [misc]simplify: iters left: 3 (46 enodes) 1540202155.772 * * [misc]simplify: iters left: 2 (63 enodes) 1540202155.781 * * [misc]simplify: iters left: 1 (80 enodes) 1540202155.792 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202155.792 * [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)))))) 1540202155.792 * * * * [misc]progress: [ 872 / 6878 ] simplifiying candidate # 1540202155.792 * [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))))))) 1540202155.792 * * [misc]simplify: iters left: 6 (19 enodes) 1540202155.795 * * [misc]simplify: iters left: 5 (29 enodes) 1540202155.799 * * [misc]simplify: iters left: 4 (50 enodes) 1540202155.814 * * [misc]simplify: iters left: 3 (85 enodes) 1540202155.835 * * [misc]simplify: iters left: 2 (132 enodes) 1540202155.859 * * [misc]simplify: iters left: 1 (198 enodes) 1540202155.905 * [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))))))) 1540202155.905 * [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)))))))) 1540202155.905 * [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)))))) 1540202155.905 * * [misc]simplify: iters left: 6 (19 enodes) 1540202155.911 * * [misc]simplify: iters left: 5 (26 enodes) 1540202155.918 * * [misc]simplify: iters left: 4 (37 enodes) 1540202155.927 * * [misc]simplify: iters left: 3 (52 enodes) 1540202155.933 * * [misc]simplify: iters left: 2 (69 enodes) 1540202155.943 * * [misc]simplify: iters left: 1 (86 enodes) 1540202155.958 * [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)))))) 1540202155.958 * [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)))))))) 1540202155.958 * * * * [misc]progress: [ 873 / 6878 ] simplifiying candidate # 1540202155.958 * [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)))))) 1540202155.958 * * [misc]simplify: iters left: 6 (18 enodes) 1540202155.964 * * [misc]simplify: iters left: 5 (26 enodes) 1540202155.971 * * [misc]simplify: iters left: 4 (39 enodes) 1540202155.981 * * [misc]simplify: iters left: 3 (54 enodes) 1540202155.988 * * [misc]simplify: iters left: 2 (71 enodes) 1540202155.998 * * [misc]simplify: iters left: 1 (88 enodes) 1540202156.012 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202156.012 * [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)))))))) 1540202156.013 * [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)))))) 1540202156.013 * * [misc]simplify: iters left: 6 (19 enodes) 1540202156.019 * * [misc]simplify: iters left: 5 (26 enodes) 1540202156.028 * * [misc]simplify: iters left: 4 (37 enodes) 1540202156.038 * * [misc]simplify: iters left: 3 (52 enodes) 1540202156.046 * * [misc]simplify: iters left: 2 (69 enodes) 1540202156.055 * * [misc]simplify: iters left: 1 (86 enodes) 1540202156.067 * [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)))))) 1540202156.067 * [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)))))))) 1540202156.067 * * * * [misc]progress: [ 874 / 6878 ] simplifiying candidate # 1540202156.067 * [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))) 1540202156.067 * * [misc]simplify: iters left: 6 (17 enodes) 1540202156.074 * * [misc]simplify: iters left: 5 (28 enodes) 1540202156.083 * * [misc]simplify: iters left: 4 (56 enodes) 1540202156.096 * * [misc]simplify: iters left: 3 (158 enodes) 1540202156.147 * * [misc]simplify: iters left: 2 (409 enodes) 1540202156.413 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202156.413 * [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))))))) 1540202156.413 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202156.413 * * [misc]simplify: iters left: 6 (17 enodes) 1540202156.416 * * [misc]simplify: iters left: 5 (25 enodes) 1540202156.423 * * [misc]simplify: iters left: 4 (43 enodes) 1540202156.436 * * [misc]simplify: iters left: 3 (91 enodes) 1540202156.453 * * [misc]simplify: iters left: 2 (178 enodes) 1540202156.493 * * [misc]simplify: iters left: 1 (319 enodes) 1540202156.653 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540202156.653 * [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))))))) 1540202156.653 * * * * [misc]progress: [ 875 / 6878 ] simplifiying candidate # 1540202156.654 * [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))) 1540202156.654 * * [misc]simplify: iters left: 6 (17 enodes) 1540202156.660 * * [misc]simplify: iters left: 5 (28 enodes) 1540202156.670 * * [misc]simplify: iters left: 4 (56 enodes) 1540202156.692 * * [misc]simplify: iters left: 3 (158 enodes) 1540202156.759 * * [misc]simplify: iters left: 2 (409 enodes) 1540202157.052 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202157.052 * [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))))))) 1540202157.052 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202157.052 * * [misc]simplify: iters left: 6 (17 enodes) 1540202157.055 * * [misc]simplify: iters left: 5 (25 enodes) 1540202157.058 * * [misc]simplify: iters left: 4 (43 enodes) 1540202157.071 * * [misc]simplify: iters left: 3 (91 enodes) 1540202157.105 * * [misc]simplify: iters left: 2 (178 enodes) 1540202157.168 * * [misc]simplify: iters left: 1 (319 enodes) 1540202157.318 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540202157.318 * [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))))))) 1540202157.318 * * * * [misc]progress: [ 876 / 6878 ] simplifiying candidate # 1540202157.318 * [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))))))) 1540202157.318 * * [misc]simplify: iters left: 6 (21 enodes) 1540202157.324 * * [misc]simplify: iters left: 5 (37 enodes) 1540202157.337 * * [misc]simplify: iters left: 4 (88 enodes) 1540202157.363 * * [misc]simplify: iters left: 3 (262 enodes) 1540202157.555 * [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)))))) 1540202157.555 * [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)))))))) 1540202157.555 * [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)))))) 1540202157.555 * * [misc]simplify: iters left: 6 (20 enodes) 1540202157.561 * * [misc]simplify: iters left: 5 (29 enodes) 1540202157.570 * * [misc]simplify: iters left: 4 (48 enodes) 1540202157.585 * * [misc]simplify: iters left: 3 (96 enodes) 1540202157.624 * * [misc]simplify: iters left: 2 (183 enodes) 1540202157.677 * * [misc]simplify: iters left: 1 (325 enodes) 1540202157.889 * [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))))) 1540202157.889 * [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))))))) 1540202157.889 * * * * [misc]progress: [ 877 / 6878 ] simplifiying candidate # 1540202157.890 * [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)))))) 1540202157.890 * * [misc]simplify: iters left: 6 (20 enodes) 1540202157.896 * * [misc]simplify: iters left: 5 (32 enodes) 1540202157.906 * * [misc]simplify: iters left: 4 (63 enodes) 1540202157.929 * * [misc]simplify: iters left: 3 (165 enodes) 1540202157.993 * * [misc]simplify: iters left: 2 (420 enodes) 1540202158.299 * [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)))))) 1540202158.299 * [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)))))))) 1540202158.300 * [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)))))) 1540202158.300 * * [misc]simplify: iters left: 6 (20 enodes) 1540202158.302 * * [misc]simplify: iters left: 5 (29 enodes) 1540202158.306 * * [misc]simplify: iters left: 4 (48 enodes) 1540202158.314 * * [misc]simplify: iters left: 3 (96 enodes) 1540202158.339 * * [misc]simplify: iters left: 2 (183 enodes) 1540202158.395 * * [misc]simplify: iters left: 1 (325 enodes) 1540202158.574 * [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))))) 1540202158.574 * [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))))))) 1540202158.574 * * * * [misc]progress: [ 878 / 6878 ] simplifiying candidate # 1540202158.574 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202158.575 * * [misc]simplify: iters left: 6 (16 enodes) 1540202158.577 * * [misc]simplify: iters left: 5 (28 enodes) 1540202158.582 * * [misc]simplify: iters left: 4 (56 enodes) 1540202158.594 * * [misc]simplify: iters left: 3 (111 enodes) 1540202158.631 * * [misc]simplify: iters left: 2 (306 enodes) 1540202158.855 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202158.855 * [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))))))) 1540202158.855 * [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))))) 1540202158.855 * * [misc]simplify: iters left: 6 (19 enodes) 1540202158.860 * * [misc]simplify: iters left: 5 (28 enodes) 1540202158.869 * * [misc]simplify: iters left: 4 (47 enodes) 1540202158.884 * * [misc]simplify: iters left: 3 (95 enodes) 1540202158.918 * * [misc]simplify: iters left: 2 (182 enodes) 1540202158.972 * * [misc]simplify: iters left: 1 (322 enodes) 1540202159.093 * [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)))))) 1540202159.093 * [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)))))))) 1540202159.093 * * * * [misc]progress: [ 879 / 6878 ] simplifiying candidate # 1540202159.093 * [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))) 1540202159.093 * * [misc]simplify: iters left: 6 (18 enodes) 1540202159.096 * * [misc]simplify: iters left: 5 (28 enodes) 1540202159.101 * * [misc]simplify: iters left: 4 (46 enodes) 1540202159.109 * * [misc]simplify: iters left: 3 (94 enodes) 1540202159.126 * * [misc]simplify: iters left: 2 (181 enodes) 1540202159.196 * * [misc]simplify: iters left: 1 (322 enodes) 1540202159.348 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202159.348 * [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))))))) 1540202159.349 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202159.349 * * [misc]simplify: iters left: 6 (18 enodes) 1540202159.354 * * [misc]simplify: iters left: 5 (26 enodes) 1540202159.362 * * [misc]simplify: iters left: 4 (44 enodes) 1540202159.377 * * [misc]simplify: iters left: 3 (92 enodes) 1540202159.413 * * [misc]simplify: iters left: 2 (179 enodes) 1540202159.497 * * [misc]simplify: iters left: 1 (315 enodes) 1540202159.700 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202159.700 * [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))))) 1540202159.701 * * * * [misc]progress: [ 880 / 6878 ] simplifiying candidate # 1540202159.701 * [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))) 1540202159.701 * * [misc]simplify: iters left: 6 (18 enodes) 1540202159.707 * * [misc]simplify: iters left: 5 (28 enodes) 1540202159.715 * * [misc]simplify: iters left: 4 (46 enodes) 1540202159.727 * * [misc]simplify: iters left: 3 (94 enodes) 1540202159.744 * * [misc]simplify: iters left: 2 (181 enodes) 1540202159.817 * * [misc]simplify: iters left: 1 (322 enodes) 1540202159.970 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202159.970 * [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))))))) 1540202159.970 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202159.970 * * [misc]simplify: iters left: 6 (18 enodes) 1540202159.973 * * [misc]simplify: iters left: 5 (26 enodes) 1540202159.976 * * [misc]simplify: iters left: 4 (44 enodes) 1540202159.983 * * [misc]simplify: iters left: 3 (92 enodes) 1540202160.005 * * [misc]simplify: iters left: 2 (179 enodes) 1540202160.085 * * [misc]simplify: iters left: 1 (315 enodes) 1540202160.245 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202160.245 * [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))))) 1540202160.245 * * * * [misc]progress: [ 881 / 6878 ] simplifiying candidate # 1540202160.246 * [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))))))) 1540202160.246 * * [misc]simplify: iters left: 6 (22 enodes) 1540202160.249 * * [misc]simplify: iters left: 5 (35 enodes) 1540202160.254 * * [misc]simplify: iters left: 4 (62 enodes) 1540202160.273 * * [misc]simplify: iters left: 3 (141 enodes) 1540202160.327 * * [misc]simplify: iters left: 2 (337 enodes) 1540202160.503 * [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)))))) 1540202160.503 * [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)))))))) 1540202160.504 * [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)))))) 1540202160.504 * * [misc]simplify: iters left: 6 (21 enodes) 1540202160.510 * * [misc]simplify: iters left: 5 (30 enodes) 1540202160.519 * * [misc]simplify: iters left: 4 (49 enodes) 1540202160.528 * * [misc]simplify: iters left: 3 (97 enodes) 1540202160.546 * * [misc]simplify: iters left: 2 (184 enodes) 1540202160.584 * * [misc]simplify: iters left: 1 (320 enodes) 1540202160.728 * [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)))))) 1540202160.728 * [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)))))))) 1540202160.728 * * * * [misc]progress: [ 882 / 6878 ] simplifiying candidate # 1540202160.728 * [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)))))) 1540202160.729 * * [misc]simplify: iters left: 6 (21 enodes) 1540202160.731 * * [misc]simplify: iters left: 5 (32 enodes) 1540202160.736 * * [misc]simplify: iters left: 4 (53 enodes) 1540202160.744 * * [misc]simplify: iters left: 3 (101 enodes) 1540202160.771 * * [misc]simplify: iters left: 2 (188 enodes) 1540202160.829 * * [misc]simplify: iters left: 1 (325 enodes) 1540202161.005 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1540202161.005 * [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)))))))) 1540202161.005 * [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)))))) 1540202161.005 * * [misc]simplify: iters left: 6 (21 enodes) 1540202161.009 * * [misc]simplify: iters left: 5 (30 enodes) 1540202161.018 * * [misc]simplify: iters left: 4 (49 enodes) 1540202161.028 * * [misc]simplify: iters left: 3 (97 enodes) 1540202161.048 * * [misc]simplify: iters left: 2 (184 enodes) 1540202161.099 * * [misc]simplify: iters left: 1 (320 enodes) 1540202161.246 * [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)))))) 1540202161.246 * [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)))))))) 1540202161.246 * * * * [misc]progress: [ 883 / 6878 ] simplifiying candidate # 1540202161.246 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202161.246 * * [misc]simplify: iters left: 6 (17 enodes) 1540202161.249 * * [misc]simplify: iters left: 5 (27 enodes) 1540202161.253 * * [misc]simplify: iters left: 4 (42 enodes) 1540202161.260 * * [misc]simplify: iters left: 3 (76 enodes) 1540202161.294 * * [misc]simplify: iters left: 2 (155 enodes) 1540202161.353 * * [misc]simplify: iters left: 1 (338 enodes) 1540202161.527 * [exit]simplify: Simplified to (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202161.527 * [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))))))) 1540202161.527 * [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))))) 1540202161.527 * * [misc]simplify: iters left: 6 (20 enodes) 1540202161.530 * * [misc]simplify: iters left: 5 (29 enodes) 1540202161.534 * * [misc]simplify: iters left: 4 (48 enodes) 1540202161.544 * * [misc]simplify: iters left: 3 (96 enodes) 1540202161.578 * * [misc]simplify: iters left: 2 (183 enodes) 1540202161.634 * * [misc]simplify: iters left: 1 (325 enodes) 1540202161.788 * [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))))) 1540202161.788 * [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))))))) 1540202161.789 * * * * [misc]progress: [ 884 / 6878 ] simplifiying candidate # 1540202161.789 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202161.789 * * [misc]simplify: iters left: 6 (15 enodes) 1540202161.793 * * [misc]simplify: iters left: 5 (24 enodes) 1540202161.797 * * [misc]simplify: iters left: 4 (41 enodes) 1540202161.804 * * [misc]simplify: iters left: 3 (86 enodes) 1540202161.820 * * [misc]simplify: iters left: 2 (151 enodes) 1540202161.853 * * [misc]simplify: iters left: 1 (230 enodes) 1540202161.919 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202161.919 * [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))))))) 1540202161.920 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202161.920 * * [misc]simplify: iters left: 6 (16 enodes) 1540202161.922 * * [misc]simplify: iters left: 5 (24 enodes) 1540202161.925 * * [misc]simplify: iters left: 4 (41 enodes) 1540202161.932 * * [misc]simplify: iters left: 3 (86 enodes) 1540202161.948 * * [misc]simplify: iters left: 2 (151 enodes) 1540202161.980 * * [misc]simplify: iters left: 1 (234 enodes) 1540202162.059 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202162.059 * [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)))))) 1540202162.059 * * * * [misc]progress: [ 885 / 6878 ] simplifiying candidate # 1540202162.059 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202162.059 * * [misc]simplify: iters left: 6 (15 enodes) 1540202162.063 * * [misc]simplify: iters left: 5 (24 enodes) 1540202162.067 * * [misc]simplify: iters left: 4 (41 enodes) 1540202162.081 * * [misc]simplify: iters left: 3 (86 enodes) 1540202162.113 * * [misc]simplify: iters left: 2 (151 enodes) 1540202162.156 * * [misc]simplify: iters left: 1 (230 enodes) 1540202162.242 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202162.242 * [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))))))) 1540202162.242 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202162.242 * * [misc]simplify: iters left: 6 (16 enodes) 1540202162.244 * * [misc]simplify: iters left: 5 (24 enodes) 1540202162.248 * * [misc]simplify: iters left: 4 (41 enodes) 1540202162.254 * * [misc]simplify: iters left: 3 (86 enodes) 1540202162.287 * * [misc]simplify: iters left: 2 (151 enodes) 1540202162.340 * * [misc]simplify: iters left: 1 (234 enodes) 1540202162.424 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202162.424 * [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)))))) 1540202162.424 * * * * [misc]progress: [ 886 / 6878 ] simplifiying candidate # 1540202162.424 * [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))))))) 1540202162.425 * * [misc]simplify: iters left: 6 (19 enodes) 1540202162.431 * * [misc]simplify: iters left: 5 (31 enodes) 1540202162.441 * * [misc]simplify: iters left: 4 (57 enodes) 1540202162.458 * * [misc]simplify: iters left: 3 (133 enodes) 1540202162.497 * * [misc]simplify: iters left: 2 (298 enodes) 1540202162.668 * [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)))))) 1540202162.668 * [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)))))))) 1540202162.668 * [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)))))) 1540202162.669 * * [misc]simplify: iters left: 6 (19 enodes) 1540202162.673 * * [misc]simplify: iters left: 5 (28 enodes) 1540202162.677 * * [misc]simplify: iters left: 4 (46 enodes) 1540202162.684 * * [misc]simplify: iters left: 3 (91 enodes) 1540202162.700 * * [misc]simplify: iters left: 2 (156 enodes) 1540202162.747 * * [misc]simplify: iters left: 1 (236 enodes) 1540202162.827 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202162.827 * [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)))))))) 1540202162.827 * * * * [misc]progress: [ 887 / 6878 ] simplifiying candidate # 1540202162.827 * [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)))))) 1540202162.827 * * [misc]simplify: iters left: 6 (18 enodes) 1540202162.830 * * [misc]simplify: iters left: 5 (28 enodes) 1540202162.834 * * [misc]simplify: iters left: 4 (48 enodes) 1540202162.841 * * [misc]simplify: iters left: 3 (93 enodes) 1540202162.862 * * [misc]simplify: iters left: 2 (158 enodes) 1540202162.902 * * [misc]simplify: iters left: 1 (243 enodes) 1540202163.014 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202163.014 * [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)))))))) 1540202163.015 * [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)))))) 1540202163.015 * * [misc]simplify: iters left: 6 (19 enodes) 1540202163.020 * * [misc]simplify: iters left: 5 (28 enodes) 1540202163.029 * * [misc]simplify: iters left: 4 (46 enodes) 1540202163.043 * * [misc]simplify: iters left: 3 (91 enodes) 1540202163.075 * * [misc]simplify: iters left: 2 (156 enodes) 1540202163.136 * * [misc]simplify: iters left: 1 (236 enodes) 1540202163.221 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202163.221 * [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)))))))) 1540202163.221 * * * * [misc]progress: [ 888 / 6878 ] simplifiying candidate # 1540202163.222 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202163.222 * * [misc]simplify: iters left: 6 (14 enodes) 1540202163.226 * * [misc]simplify: iters left: 5 (24 enodes) 1540202163.234 * * [misc]simplify: iters left: 4 (45 enodes) 1540202163.248 * * [misc]simplify: iters left: 3 (68 enodes) 1540202163.268 * * [misc]simplify: iters left: 2 (101 enodes) 1540202163.306 * * [misc]simplify: iters left: 1 (157 enodes) 1540202163.380 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202163.380 * [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))))))) 1540202163.381 * [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))))) 1540202163.381 * * [misc]simplify: iters left: 6 (18 enodes) 1540202163.383 * * [misc]simplify: iters left: 5 (27 enodes) 1540202163.387 * * [misc]simplify: iters left: 4 (45 enodes) 1540202163.394 * * [misc]simplify: iters left: 3 (90 enodes) 1540202163.410 * * [misc]simplify: iters left: 2 (155 enodes) 1540202163.474 * * [misc]simplify: iters left: 1 (239 enodes) 1540202163.570 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202163.570 * [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))))))) 1540202163.570 * * * * [misc]progress: [ 889 / 6878 ] simplifiying candidate # 1540202163.570 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202163.570 * * [misc]simplify: iters left: 6 (17 enodes) 1540202163.574 * * [misc]simplify: iters left: 5 (28 enodes) 1540202163.578 * * [misc]simplify: iters left: 4 (48 enodes) 1540202163.587 * * [misc]simplify: iters left: 3 (115 enodes) 1540202163.612 * * [misc]simplify: iters left: 2 (271 enodes) 1540202163.751 * * [misc]simplify: iters left: 1 (496 enodes) 1540202164.096 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540202164.097 * [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))))))) 1540202164.097 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202164.097 * * [misc]simplify: iters left: 6 (16 enodes) 1540202164.099 * * [misc]simplify: iters left: 5 (24 enodes) 1540202164.102 * * [misc]simplify: iters left: 4 (42 enodes) 1540202164.115 * * [misc]simplify: iters left: 3 (90 enodes) 1540202164.147 * * [misc]simplify: iters left: 2 (177 enodes) 1540202164.197 * * [misc]simplify: iters left: 1 (315 enodes) 1540202164.336 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202164.336 * [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)))))) 1540202164.336 * * * * [misc]progress: [ 890 / 6878 ] simplifiying candidate # 1540202164.336 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202164.337 * * [misc]simplify: iters left: 6 (17 enodes) 1540202164.343 * * [misc]simplify: iters left: 5 (28 enodes) 1540202164.347 * * [misc]simplify: iters left: 4 (48 enodes) 1540202164.358 * * [misc]simplify: iters left: 3 (115 enodes) 1540202164.394 * * [misc]simplify: iters left: 2 (271 enodes) 1540202164.559 * * [misc]simplify: iters left: 1 (496 enodes) 1540202164.925 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540202164.925 * [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))))))) 1540202164.925 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202164.925 * * [misc]simplify: iters left: 6 (16 enodes) 1540202164.929 * * [misc]simplify: iters left: 5 (24 enodes) 1540202164.936 * * [misc]simplify: iters left: 4 (42 enodes) 1540202164.948 * * [misc]simplify: iters left: 3 (90 enodes) 1540202164.979 * * [misc]simplify: iters left: 2 (177 enodes) 1540202165.054 * * [misc]simplify: iters left: 1 (315 enodes) 1540202165.223 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202165.223 * [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)))))) 1540202165.223 * * * * [misc]progress: [ 891 / 6878 ] simplifiying candidate # 1540202165.223 * [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))))))) 1540202165.223 * * [misc]simplify: iters left: 6 (21 enodes) 1540202165.227 * * [misc]simplify: iters left: 5 (35 enodes) 1540202165.232 * * [misc]simplify: iters left: 4 (65 enodes) 1540202165.244 * * [misc]simplify: iters left: 3 (171 enodes) 1540202165.303 * * [misc]simplify: iters left: 2 (455 enodes) 1540202165.656 * [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)))) 1540202165.656 * [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)))))))) 1540202165.656 * [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)))))) 1540202165.657 * * [misc]simplify: iters left: 6 (19 enodes) 1540202165.659 * * [misc]simplify: iters left: 5 (28 enodes) 1540202165.664 * * [misc]simplify: iters left: 4 (47 enodes) 1540202165.672 * * [misc]simplify: iters left: 3 (95 enodes) 1540202165.707 * * [misc]simplify: iters left: 2 (182 enodes) 1540202165.761 * * [misc]simplify: iters left: 1 (320 enodes) 1540202165.965 * [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)))))) 1540202165.965 * [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)))))))) 1540202165.965 * * * * [misc]progress: [ 892 / 6878 ] simplifiying candidate # 1540202165.966 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202165.966 * * [misc]simplify: iters left: 6 (20 enodes) 1540202165.972 * * [misc]simplify: iters left: 5 (32 enodes) 1540202165.981 * * [misc]simplify: iters left: 4 (55 enodes) 1540202165.992 * * [misc]simplify: iters left: 3 (122 enodes) 1540202166.021 * * [misc]simplify: iters left: 2 (285 enodes) 1540202166.165 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202166.165 * [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)))))))) 1540202166.167 * [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)))))) 1540202166.168 * * [misc]simplify: iters left: 6 (19 enodes) 1540202166.172 * * [misc]simplify: iters left: 5 (28 enodes) 1540202166.176 * * [misc]simplify: iters left: 4 (47 enodes) 1540202166.183 * * [misc]simplify: iters left: 3 (95 enodes) 1540202166.210 * * [misc]simplify: iters left: 2 (182 enodes) 1540202166.261 * * [misc]simplify: iters left: 1 (320 enodes) 1540202166.407 * [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)))))) 1540202166.407 * [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)))))))) 1540202166.407 * * * * [misc]progress: [ 893 / 6878 ] simplifiying candidate # 1540202166.407 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202166.407 * * [misc]simplify: iters left: 6 (15 enodes) 1540202166.410 * * [misc]simplify: iters left: 5 (25 enodes) 1540202166.413 * * [misc]simplify: iters left: 4 (33 enodes) 1540202166.418 * * [misc]simplify: iters left: 3 (55 enodes) 1540202166.430 * * [misc]simplify: iters left: 2 (89 enodes) 1540202166.451 * * [misc]simplify: iters left: 1 (147 enodes) 1540202166.522 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202166.522 * [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))))))) 1540202166.523 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202166.523 * * [misc]simplify: iters left: 6 (18 enodes) 1540202166.525 * * [misc]simplify: iters left: 5 (27 enodes) 1540202166.529 * * [misc]simplify: iters left: 4 (46 enodes) 1540202166.539 * * [misc]simplify: iters left: 3 (94 enodes) 1540202166.574 * * [misc]simplify: iters left: 2 (181 enodes) 1540202166.632 * * [misc]simplify: iters left: 1 (322 enodes) 1540202166.758 * [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)))) 1540202166.758 * [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)))))) 1540202166.758 * * * * [misc]progress: [ 894 / 6878 ] simplifiying candidate # 1540202166.759 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202166.759 * * [misc]simplify: iters left: 6 (15 enodes) 1540202166.765 * * [misc]simplify: iters left: 5 (24 enodes) 1540202166.772 * * [misc]simplify: iters left: 4 (41 enodes) 1540202166.779 * * [misc]simplify: iters left: 3 (86 enodes) 1540202166.795 * * [misc]simplify: iters left: 2 (151 enodes) 1540202166.857 * * [misc]simplify: iters left: 1 (230 enodes) 1540202166.943 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202166.943 * [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))))))) 1540202166.943 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202166.943 * * [misc]simplify: iters left: 6 (16 enodes) 1540202166.945 * * [misc]simplify: iters left: 5 (24 enodes) 1540202166.948 * * [misc]simplify: iters left: 4 (41 enodes) 1540202166.955 * * [misc]simplify: iters left: 3 (86 enodes) 1540202166.985 * * [misc]simplify: iters left: 2 (151 enodes) 1540202167.034 * * [misc]simplify: iters left: 1 (234 enodes) 1540202167.151 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202167.151 * [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)))))) 1540202167.151 * * * * [misc]progress: [ 895 / 6878 ] simplifiying candidate # 1540202167.151 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202167.151 * * [misc]simplify: iters left: 6 (15 enodes) 1540202167.157 * * [misc]simplify: iters left: 5 (24 enodes) 1540202167.165 * * [misc]simplify: iters left: 4 (41 enodes) 1540202167.179 * * [misc]simplify: iters left: 3 (86 enodes) 1540202167.211 * * [misc]simplify: iters left: 2 (151 enodes) 1540202167.277 * * [misc]simplify: iters left: 1 (230 enodes) 1540202167.348 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202167.348 * [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))))))) 1540202167.349 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202167.349 * * [misc]simplify: iters left: 6 (16 enodes) 1540202167.353 * * [misc]simplify: iters left: 5 (24 enodes) 1540202167.362 * * [misc]simplify: iters left: 4 (41 enodes) 1540202167.376 * * [misc]simplify: iters left: 3 (86 enodes) 1540202167.408 * * [misc]simplify: iters left: 2 (151 enodes) 1540202167.471 * * [misc]simplify: iters left: 1 (234 enodes) 1540202167.566 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202167.566 * [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)))))) 1540202167.566 * * * * [misc]progress: [ 896 / 6878 ] simplifiying candidate # 1540202167.567 * [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))))))) 1540202167.567 * * [misc]simplify: iters left: 6 (19 enodes) 1540202167.573 * * [misc]simplify: iters left: 5 (31 enodes) 1540202167.582 * * [misc]simplify: iters left: 4 (57 enodes) 1540202167.604 * * [misc]simplify: iters left: 3 (133 enodes) 1540202167.666 * * [misc]simplify: iters left: 2 (298 enodes) 1540202167.807 * [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)))))) 1540202167.807 * [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)))))))) 1540202167.807 * [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)))))) 1540202167.807 * * [misc]simplify: iters left: 6 (19 enodes) 1540202167.813 * * [misc]simplify: iters left: 5 (28 enodes) 1540202167.821 * * [misc]simplify: iters left: 4 (46 enodes) 1540202167.836 * * [misc]simplify: iters left: 3 (91 enodes) 1540202167.869 * * [misc]simplify: iters left: 2 (156 enodes) 1540202167.916 * * [misc]simplify: iters left: 1 (236 enodes) 1540202167.992 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202167.992 * [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)))))))) 1540202167.992 * * * * [misc]progress: [ 897 / 6878 ] simplifiying candidate # 1540202167.992 * [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)))))) 1540202167.992 * * [misc]simplify: iters left: 6 (18 enodes) 1540202167.995 * * [misc]simplify: iters left: 5 (28 enodes) 1540202168.003 * * [misc]simplify: iters left: 4 (48 enodes) 1540202168.017 * * [misc]simplify: iters left: 3 (93 enodes) 1540202168.051 * * [misc]simplify: iters left: 2 (158 enodes) 1540202168.119 * * [misc]simplify: iters left: 1 (243 enodes) 1540202168.229 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202168.229 * [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)))))))) 1540202168.230 * [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)))))) 1540202168.230 * * [misc]simplify: iters left: 6 (19 enodes) 1540202168.232 * * [misc]simplify: iters left: 5 (28 enodes) 1540202168.237 * * [misc]simplify: iters left: 4 (46 enodes) 1540202168.244 * * [misc]simplify: iters left: 3 (91 enodes) 1540202168.265 * * [misc]simplify: iters left: 2 (156 enodes) 1540202168.332 * * [misc]simplify: iters left: 1 (236 enodes) 1540202168.404 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202168.404 * [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)))))))) 1540202168.404 * * * * [misc]progress: [ 898 / 6878 ] simplifiying candidate # 1540202168.404 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202168.404 * * [misc]simplify: iters left: 6 (14 enodes) 1540202168.406 * * [misc]simplify: iters left: 5 (24 enodes) 1540202168.410 * * [misc]simplify: iters left: 4 (45 enodes) 1540202168.417 * * [misc]simplify: iters left: 3 (68 enodes) 1540202168.427 * * [misc]simplify: iters left: 2 (101 enodes) 1540202168.446 * * [misc]simplify: iters left: 1 (157 enodes) 1540202168.503 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202168.503 * [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))))))) 1540202168.503 * [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))))) 1540202168.504 * * [misc]simplify: iters left: 6 (18 enodes) 1540202168.509 * * [misc]simplify: iters left: 5 (27 enodes) 1540202168.517 * * [misc]simplify: iters left: 4 (45 enodes) 1540202168.532 * * [misc]simplify: iters left: 3 (90 enodes) 1540202168.565 * * [misc]simplify: iters left: 2 (155 enodes) 1540202168.628 * * [misc]simplify: iters left: 1 (239 enodes) 1540202168.705 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202168.705 * [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))))))) 1540202168.706 * * * * [misc]progress: [ 899 / 6878 ] simplifiying candidate # 1540202168.706 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202168.706 * * [misc]simplify: iters left: 6 (16 enodes) 1540202168.709 * * [misc]simplify: iters left: 5 (27 enodes) 1540202168.713 * * [misc]simplify: iters left: 4 (43 enodes) 1540202168.721 * * [misc]simplify: iters left: 3 (95 enodes) 1540202168.739 * * [misc]simplify: iters left: 2 (200 enodes) 1540202168.819 * * [misc]simplify: iters left: 1 (409 enodes) 1540202169.080 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202169.080 * [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))))))) 1540202169.080 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202169.081 * * [misc]simplify: iters left: 6 (16 enodes) 1540202169.083 * * [misc]simplify: iters left: 5 (24 enodes) 1540202169.086 * * [misc]simplify: iters left: 4 (42 enodes) 1540202169.093 * * [misc]simplify: iters left: 3 (90 enodes) 1540202169.111 * * [misc]simplify: iters left: 2 (177 enodes) 1540202169.155 * * [misc]simplify: iters left: 1 (315 enodes) 1540202169.309 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202169.309 * [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)))))) 1540202169.310 * * * * [misc]progress: [ 900 / 6878 ] simplifiying candidate # 1540202169.310 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202169.310 * * [misc]simplify: iters left: 6 (16 enodes) 1540202169.316 * * [misc]simplify: iters left: 5 (27 enodes) 1540202169.324 * * [misc]simplify: iters left: 4 (43 enodes) 1540202169.332 * * [misc]simplify: iters left: 3 (95 enodes) 1540202169.350 * * [misc]simplify: iters left: 2 (200 enodes) 1540202169.479 * * [misc]simplify: iters left: 1 (409 enodes) 1540202169.806 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202169.806 * [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))))))) 1540202169.806 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202169.806 * * [misc]simplify: iters left: 6 (16 enodes) 1540202169.811 * * [misc]simplify: iters left: 5 (24 enodes) 1540202169.819 * * [misc]simplify: iters left: 4 (42 enodes) 1540202169.832 * * [misc]simplify: iters left: 3 (90 enodes) 1540202169.867 * * [misc]simplify: iters left: 2 (177 enodes) 1540202169.912 * * [misc]simplify: iters left: 1 (315 enodes) 1540202170.113 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202170.113 * [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)))))) 1540202170.113 * * * * [misc]progress: [ 901 / 6878 ] simplifiying candidate # 1540202170.114 * [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))))))) 1540202170.114 * * [misc]simplify: iters left: 6 (20 enodes) 1540202170.121 * * [misc]simplify: iters left: 5 (34 enodes) 1540202170.130 * * [misc]simplify: iters left: 4 (59 enodes) 1540202170.151 * * [misc]simplify: iters left: 3 (153 enodes) 1540202170.217 * * [misc]simplify: iters left: 2 (394 enodes) 1540202170.496 * [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))))) 1540202170.496 * [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)))))))) 1540202170.496 * [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)))))) 1540202170.497 * * [misc]simplify: iters left: 6 (19 enodes) 1540202170.499 * * [misc]simplify: iters left: 5 (28 enodes) 1540202170.508 * * [misc]simplify: iters left: 4 (47 enodes) 1540202170.522 * * [misc]simplify: iters left: 3 (95 enodes) 1540202170.544 * * [misc]simplify: iters left: 2 (182 enodes) 1540202170.585 * * [misc]simplify: iters left: 1 (320 enodes) 1540202170.758 * [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)))))) 1540202170.758 * [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)))))))) 1540202170.758 * * * * [misc]progress: [ 902 / 6878 ] simplifiying candidate # 1540202170.759 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202170.759 * * [misc]simplify: iters left: 6 (19 enodes) 1540202170.765 * * [misc]simplify: iters left: 5 (31 enodes) 1540202170.774 * * [misc]simplify: iters left: 4 (50 enodes) 1540202170.790 * * [misc]simplify: iters left: 3 (102 enodes) 1540202170.830 * * [misc]simplify: iters left: 2 (206 enodes) 1540202170.914 * * [misc]simplify: iters left: 1 (437 enodes) 1540202171.258 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202171.258 * [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)))))))) 1540202171.258 * [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)))))) 1540202171.258 * * [misc]simplify: iters left: 6 (19 enodes) 1540202171.264 * * [misc]simplify: iters left: 5 (28 enodes) 1540202171.272 * * [misc]simplify: iters left: 4 (47 enodes) 1540202171.279 * * [misc]simplify: iters left: 3 (95 enodes) 1540202171.296 * * [misc]simplify: iters left: 2 (182 enodes) 1540202171.351 * * [misc]simplify: iters left: 1 (320 enodes) 1540202171.559 * [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)))))) 1540202171.559 * [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)))))))) 1540202171.559 * * * * [misc]progress: [ 903 / 6878 ] simplifiying candidate # 1540202171.560 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 1)) 1540202171.560 * * [misc]simplify: iters left: 6 (14 enodes) 1540202171.562 * * [misc]simplify: iters left: 5 (22 enodes) 1540202171.564 * * [misc]simplify: iters left: 4 (30 enodes) 1540202171.569 * * [misc]simplify: iters left: 3 (45 enodes) 1540202171.575 * * [misc]simplify: iters left: 2 (68 enodes) 1540202171.584 * * [misc]simplify: iters left: 1 (86 enodes) 1540202171.594 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202171.594 * [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))))))) 1540202171.594 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202171.594 * * [misc]simplify: iters left: 6 (18 enodes) 1540202171.597 * * [misc]simplify: iters left: 5 (27 enodes) 1540202171.602 * * [misc]simplify: iters left: 4 (46 enodes) 1540202171.617 * * [misc]simplify: iters left: 3 (94 enodes) 1540202171.652 * * [misc]simplify: iters left: 2 (181 enodes) 1540202171.693 * * [misc]simplify: iters left: 1 (322 enodes) 1540202171.863 * [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)))) 1540202171.863 * [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)))))) 1540202171.863 * * * * [misc]progress: [ 904 / 6878 ] simplifiying candidate # 1540202171.863 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1) 1540202171.863 * * [misc]simplify: iters left: 6 (13 enodes) 1540202171.867 * * [misc]simplify: iters left: 5 (21 enodes) 1540202171.873 * * [misc]simplify: iters left: 4 (31 enodes) 1540202171.883 * * [misc]simplify: iters left: 3 (50 enodes) 1540202171.896 * * [misc]simplify: iters left: 2 (81 enodes) 1540202171.923 * * [misc]simplify: iters left: 1 (100 enodes) 1540202171.937 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202171.937 * [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))))))) 1540202171.938 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202171.938 * * [misc]simplify: iters left: 6 (18 enodes) 1540202171.940 * * [misc]simplify: iters left: 5 (27 enodes) 1540202171.944 * * [misc]simplify: iters left: 4 (46 enodes) 1540202171.951 * * [misc]simplify: iters left: 3 (94 enodes) 1540202171.979 * * [misc]simplify: iters left: 2 (181 enodes) 1540202172.039 * * [misc]simplify: iters left: 1 (322 enodes) 1540202172.188 * [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)))) 1540202172.188 * [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)))))) 1540202172.188 * * * * [misc]progress: [ 905 / 6878 ] simplifiying candidate # 1540202172.188 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (sqrt k))) 1540202172.188 * * [misc]simplify: iters left: 6 (12 enodes) 1540202172.190 * * [misc]simplify: iters left: 5 (18 enodes) 1540202172.193 * * [misc]simplify: iters left: 4 (28 enodes) 1540202172.201 * * [misc]simplify: iters left: 3 (43 enodes) 1540202172.208 * * [misc]simplify: iters left: 2 (60 enodes) 1540202172.216 * * [misc]simplify: iters left: 1 (77 enodes) 1540202172.226 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202172.226 * [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))))))) 1540202172.226 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202172.227 * * [misc]simplify: iters left: 6 (19 enodes) 1540202172.229 * * [misc]simplify: iters left: 5 (30 enodes) 1540202172.235 * * [misc]simplify: iters left: 4 (47 enodes) 1540202172.251 * * [misc]simplify: iters left: 3 (99 enodes) 1540202172.275 * * [misc]simplify: iters left: 2 (206 enodes) 1540202172.340 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202172.340 * [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)))))) 1540202172.340 * * * * [misc]progress: [ 906 / 6878 ] simplifiying candidate # 1540202172.340 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202172.340 * * [misc]simplify: iters left: 6 (15 enodes) 1540202172.343 * * [misc]simplify: iters left: 5 (24 enodes) 1540202172.347 * * [misc]simplify: iters left: 4 (42 enodes) 1540202172.354 * * [misc]simplify: iters left: 3 (90 enodes) 1540202172.383 * * [misc]simplify: iters left: 2 (177 enodes) 1540202172.426 * * [misc]simplify: iters left: 1 (319 enodes) 1540202172.548 * [exit]simplify: Simplified to (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540202172.548 * [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))))) 1540202172.549 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202172.549 * * [misc]simplify: iters left: 6 (15 enodes) 1540202172.551 * * [misc]simplify: iters left: 5 (21 enodes) 1540202172.554 * * [misc]simplify: iters left: 4 (31 enodes) 1540202172.558 * * [misc]simplify: iters left: 3 (46 enodes) 1540202172.564 * * [misc]simplify: iters left: 2 (63 enodes) 1540202172.578 * * [misc]simplify: iters left: 1 (80 enodes) 1540202172.602 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202172.602 * [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)))))) 1540202172.602 * * * * [misc]progress: [ 907 / 6878 ] simplifiying candidate # 1540202172.602 * [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))))))) 1540202172.603 * * [misc]simplify: iters left: 6 (21 enodes) 1540202172.609 * * [misc]simplify: iters left: 5 (32 enodes) 1540202172.619 * * [misc]simplify: iters left: 4 (57 enodes) 1540202172.638 * * [misc]simplify: iters left: 3 (122 enodes) 1540202172.669 * * [misc]simplify: iters left: 2 (251 enodes) 1540202172.768 * [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))))))) 1540202172.768 * [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)))))))) 1540202172.768 * [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)))))) 1540202172.768 * * [misc]simplify: iters left: 6 (20 enodes) 1540202172.774 * * [misc]simplify: iters left: 5 (27 enodes) 1540202172.782 * * [misc]simplify: iters left: 4 (38 enodes) 1540202172.793 * * [misc]simplify: iters left: 3 (53 enodes) 1540202172.809 * * [misc]simplify: iters left: 2 (70 enodes) 1540202172.829 * * [misc]simplify: iters left: 1 (87 enodes) 1540202172.853 * [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)))))) 1540202172.853 * [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)))))))) 1540202172.854 * * * * [misc]progress: [ 908 / 6878 ] simplifiying candidate # 1540202172.854 * [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)))))) 1540202172.854 * * [misc]simplify: iters left: 6 (20 enodes) 1540202172.860 * * [misc]simplify: iters left: 5 (29 enodes) 1540202172.869 * * [misc]simplify: iters left: 4 (46 enodes) 1540202172.884 * * [misc]simplify: iters left: 3 (80 enodes) 1540202172.912 * * [misc]simplify: iters left: 2 (135 enodes) 1540202172.951 * * [misc]simplify: iters left: 1 (205 enodes) 1540202173.006 * [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))))))) 1540202173.006 * [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)))))))) 1540202173.006 * [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)))))) 1540202173.007 * * [misc]simplify: iters left: 6 (20 enodes) 1540202173.009 * * [misc]simplify: iters left: 5 (27 enodes) 1540202173.013 * * [misc]simplify: iters left: 4 (38 enodes) 1540202173.021 * * [misc]simplify: iters left: 3 (53 enodes) 1540202173.036 * * [misc]simplify: iters left: 2 (70 enodes) 1540202173.055 * * [misc]simplify: iters left: 1 (87 enodes) 1540202173.079 * [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)))))) 1540202173.079 * [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)))))))) 1540202173.079 * * * * [misc]progress: [ 909 / 6878 ] simplifiying candidate # 1540202173.080 * [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))) 1540202173.080 * * [misc]simplify: iters left: 6 (21 enodes) 1540202173.088 * * [misc]simplify: iters left: 5 (35 enodes) 1540202173.099 * * [misc]simplify: iters left: 4 (70 enodes) 1540202173.127 * * [misc]simplify: iters left: 3 (215 enodes) 1540202173.241 * [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)))))) 1540202173.241 * [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))))))) 1540202173.241 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202173.241 * * [misc]simplify: iters left: 6 (20 enodes) 1540202173.247 * * [misc]simplify: iters left: 5 (29 enodes) 1540202173.256 * * [misc]simplify: iters left: 4 (48 enodes) 1540202173.271 * * [misc]simplify: iters left: 3 (96 enodes) 1540202173.293 * * [misc]simplify: iters left: 2 (183 enodes) 1540202173.362 * * [misc]simplify: iters left: 1 (324 enodes) 1540202173.480 * [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))))) 1540202173.480 * [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))))))) 1540202173.480 * * * * [misc]progress: [ 910 / 6878 ] simplifiying candidate # 1540202173.480 * [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))) 1540202173.480 * * [misc]simplify: iters left: 6 (21 enodes) 1540202173.484 * * [misc]simplify: iters left: 5 (35 enodes) 1540202173.490 * * [misc]simplify: iters left: 4 (70 enodes) 1540202173.513 * * [misc]simplify: iters left: 3 (215 enodes) 1540202173.672 * [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)))))) 1540202173.672 * [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))))))) 1540202173.672 * [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))))) 1540202173.673 * * [misc]simplify: iters left: 6 (20 enodes) 1540202173.675 * * [misc]simplify: iters left: 5 (29 enodes) 1540202173.680 * * [misc]simplify: iters left: 4 (48 enodes) 1540202173.687 * * [misc]simplify: iters left: 3 (96 enodes) 1540202173.704 * * [misc]simplify: iters left: 2 (183 enodes) 1540202173.781 * * [misc]simplify: iters left: 1 (324 enodes) 1540202173.933 * [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))))) 1540202173.933 * [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))))))) 1540202173.933 * * * * [misc]progress: [ 911 / 6878 ] simplifiying candidate # 1540202173.934 * [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))))))) 1540202173.934 * * [misc]simplify: iters left: 6 (23 enodes) 1540202173.937 * * [misc]simplify: iters left: 5 (40 enodes) 1540202173.944 * * [misc]simplify: iters left: 4 (95 enodes) 1540202173.965 * * [misc]simplify: iters left: 3 (329 enodes) 1540202174.221 * [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)))))) 1540202174.222 * [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)))))))) 1540202174.222 * [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)))))) 1540202174.222 * * [misc]simplify: iters left: 6 (21 enodes) 1540202174.225 * * [misc]simplify: iters left: 5 (30 enodes) 1540202174.229 * * [misc]simplify: iters left: 4 (49 enodes) 1540202174.239 * * [misc]simplify: iters left: 3 (97 enodes) 1540202174.273 * * [misc]simplify: iters left: 2 (184 enodes) 1540202174.330 * * [misc]simplify: iters left: 1 (323 enodes) 1540202174.490 * [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)))))) 1540202174.491 * [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)))))))) 1540202174.491 * * * * [misc]progress: [ 912 / 6878 ] simplifiying candidate # 1540202174.491 * [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))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202174.491 * * [misc]simplify: iters left: 6 (22 enodes) 1540202174.498 * * [misc]simplify: iters left: 5 (35 enodes) 1540202174.509 * * [misc]simplify: iters left: 4 (70 enodes) 1540202174.539 * * [misc]simplify: iters left: 3 (215 enodes) 1540202174.694 * [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))))))) 1540202174.694 * [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)))))))) 1540202174.694 * [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)))))) 1540202174.694 * * [misc]simplify: iters left: 6 (21 enodes) 1540202174.697 * * [misc]simplify: iters left: 5 (30 enodes) 1540202174.701 * * [misc]simplify: iters left: 4 (49 enodes) 1540202174.709 * * [misc]simplify: iters left: 3 (97 enodes) 1540202174.728 * * [misc]simplify: iters left: 2 (184 enodes) 1540202174.774 * * [misc]simplify: iters left: 1 (323 enodes) 1540202174.876 * [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)))))) 1540202174.876 * [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)))))))) 1540202174.876 * * * * [misc]progress: [ 913 / 6878 ] simplifiying candidate # 1540202174.876 * [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)) 1540202174.876 * * [misc]simplify: iters left: 6 (21 enodes) 1540202174.879 * * [misc]simplify: iters left: 5 (36 enodes) 1540202174.885 * * [misc]simplify: iters left: 4 (71 enodes) 1540202174.898 * * [misc]simplify: iters left: 3 (209 enodes) 1540202174.992 * [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)))))) 1540202174.992 * [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))))))) 1540202174.992 * [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))))) 1540202174.992 * * [misc]simplify: iters left: 6 (20 enodes) 1540202174.995 * * [misc]simplify: iters left: 5 (29 enodes) 1540202174.999 * * [misc]simplify: iters left: 4 (48 enodes) 1540202175.006 * * [misc]simplify: iters left: 3 (96 enodes) 1540202175.031 * * [misc]simplify: iters left: 2 (183 enodes) 1540202175.076 * * [misc]simplify: iters left: 1 (324 enodes) 1540202175.190 * [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))))) 1540202175.190 * [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))))))) 1540202175.190 * * * * [misc]progress: [ 914 / 6878 ] simplifiying candidate # 1540202175.190 * [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))) 1540202175.191 * * [misc]simplify: iters left: 6 (22 enodes) 1540202175.197 * * [misc]simplify: iters left: 5 (35 enodes) 1540202175.207 * * [misc]simplify: iters left: 4 (60 enodes) 1540202175.226 * * [misc]simplify: iters left: 3 (136 enodes) 1540202175.269 * * [misc]simplify: iters left: 2 (320 enodes) 1540202175.398 * [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)))))) 1540202175.398 * [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))))))) 1540202175.398 * [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))))) 1540202175.398 * * [misc]simplify: iters left: 6 (21 enodes) 1540202175.401 * * [misc]simplify: iters left: 5 (30 enodes) 1540202175.405 * * [misc]simplify: iters left: 4 (49 enodes) 1540202175.412 * * [misc]simplify: iters left: 3 (97 enodes) 1540202175.435 * * [misc]simplify: iters left: 2 (184 enodes) 1540202175.482 * * [misc]simplify: iters left: 1 (323 enodes) 1540202175.651 * [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)))) 1540202175.651 * [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)))))) 1540202175.651 * * * * [misc]progress: [ 915 / 6878 ] simplifiying candidate # 1540202175.651 * [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))) 1540202175.651 * * [misc]simplify: iters left: 6 (22 enodes) 1540202175.655 * * [misc]simplify: iters left: 5 (35 enodes) 1540202175.661 * * [misc]simplify: iters left: 4 (60 enodes) 1540202175.672 * * [misc]simplify: iters left: 3 (136 enodes) 1540202175.711 * * [misc]simplify: iters left: 2 (320 enodes) 1540202175.860 * [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)))))) 1540202175.860 * [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))))))) 1540202175.860 * [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))))) 1540202175.860 * * [misc]simplify: iters left: 6 (21 enodes) 1540202175.863 * * [misc]simplify: iters left: 5 (30 enodes) 1540202175.867 * * [misc]simplify: iters left: 4 (49 enodes) 1540202175.883 * * [misc]simplify: iters left: 3 (97 enodes) 1540202175.913 * * [misc]simplify: iters left: 2 (184 enodes) 1540202175.958 * * [misc]simplify: iters left: 1 (323 enodes) 1540202176.143 * [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)))) 1540202176.143 * [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)))))) 1540202176.143 * * * * [misc]progress: [ 916 / 6878 ] simplifiying candidate # 1540202176.143 * [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))))))) 1540202176.144 * * [misc]simplify: iters left: 6 (24 enodes) 1540202176.151 * * [misc]simplify: iters left: 5 (38 enodes) 1540202176.163 * * [misc]simplify: iters left: 4 (69 enodes) 1540202176.188 * * [misc]simplify: iters left: 3 (181 enodes) 1540202176.289 * [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)))))) 1540202176.289 * [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)))))))) 1540202176.289 * [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)))))) 1540202176.289 * * [misc]simplify: iters left: 6 (22 enodes) 1540202176.292 * * [misc]simplify: iters left: 5 (31 enodes) 1540202176.297 * * [misc]simplify: iters left: 4 (50 enodes) 1540202176.310 * * [misc]simplify: iters left: 3 (98 enodes) 1540202176.348 * * [misc]simplify: iters left: 2 (185 enodes) 1540202176.394 * * [misc]simplify: iters left: 1 (321 enodes) 1540202176.534 * [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)))))) 1540202176.534 * [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)))))))) 1540202176.534 * * * * [misc]progress: [ 917 / 6878 ] simplifiying candidate # 1540202176.535 * [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)))))) 1540202176.535 * * [misc]simplify: iters left: 6 (23 enodes) 1540202176.542 * * [misc]simplify: iters left: 5 (35 enodes) 1540202176.553 * * [misc]simplify: iters left: 4 (60 enodes) 1540202176.574 * * [misc]simplify: iters left: 3 (136 enodes) 1540202176.639 * * [misc]simplify: iters left: 2 (314 enodes) 1540202176.830 * [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))))))) 1540202176.830 * [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)))))))) 1540202176.830 * [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)))))) 1540202176.831 * * [misc]simplify: iters left: 6 (22 enodes) 1540202176.834 * * [misc]simplify: iters left: 5 (31 enodes) 1540202176.838 * * [misc]simplify: iters left: 4 (50 enodes) 1540202176.848 * * [misc]simplify: iters left: 3 (98 enodes) 1540202176.882 * * [misc]simplify: iters left: 2 (185 enodes) 1540202176.940 * * [misc]simplify: iters left: 1 (321 enodes) 1540202177.073 * [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)))))) 1540202177.073 * [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)))))))) 1540202177.074 * * * * [misc]progress: [ 918 / 6878 ] simplifiying candidate # 1540202177.074 * [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)) 1540202177.074 * * [misc]simplify: iters left: 6 (22 enodes) 1540202177.081 * * [misc]simplify: iters left: 5 (35 enodes) 1540202177.093 * * [misc]simplify: iters left: 4 (57 enodes) 1540202177.111 * * [misc]simplify: iters left: 3 (113 enodes) 1540202177.168 * * [misc]simplify: iters left: 2 (339 enodes) 1540202177.401 * [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)))))) 1540202177.401 * [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))))))) 1540202177.402 * [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))))) 1540202177.402 * * [misc]simplify: iters left: 6 (21 enodes) 1540202177.408 * * [misc]simplify: iters left: 5 (30 enodes) 1540202177.414 * * [misc]simplify: iters left: 4 (49 enodes) 1540202177.422 * * [misc]simplify: iters left: 3 (97 enodes) 1540202177.441 * * [misc]simplify: iters left: 2 (184 enodes) 1540202177.487 * * [misc]simplify: iters left: 1 (323 enodes) 1540202177.625 * [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))))) 1540202177.625 * [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))))))) 1540202177.625 * * * * [misc]progress: [ 919 / 6878 ] simplifiying candidate # 1540202177.625 * [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))) 1540202177.626 * * [misc]simplify: iters left: 6 (19 enodes) 1540202177.631 * * [misc]simplify: iters left: 5 (31 enodes) 1540202177.641 * * [misc]simplify: iters left: 4 (55 enodes) 1540202177.662 * * [misc]simplify: iters left: 3 (128 enodes) 1540202177.710 * * [misc]simplify: iters left: 2 (287 enodes) 1540202177.857 * [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)))))) 1540202177.857 * [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))))))) 1540202177.857 * [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))))) 1540202177.857 * * [misc]simplify: iters left: 6 (19 enodes) 1540202177.860 * * [misc]simplify: iters left: 5 (28 enodes) 1540202177.865 * * [misc]simplify: iters left: 4 (46 enodes) 1540202177.881 * * [misc]simplify: iters left: 3 (91 enodes) 1540202177.900 * * [misc]simplify: iters left: 2 (156 enodes) 1540202177.953 * * [misc]simplify: iters left: 1 (240 enodes) 1540202178.046 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202178.046 * [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))))) 1540202178.046 * * * * [misc]progress: [ 920 / 6878 ] simplifiying candidate # 1540202178.047 * [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))) 1540202178.047 * * [misc]simplify: iters left: 6 (19 enodes) 1540202178.054 * * [misc]simplify: iters left: 5 (31 enodes) 1540202178.064 * * [misc]simplify: iters left: 4 (55 enodes) 1540202178.084 * * [misc]simplify: iters left: 3 (128 enodes) 1540202178.115 * * [misc]simplify: iters left: 2 (287 enodes) 1540202178.273 * [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)))))) 1540202178.274 * [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))))))) 1540202178.274 * [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))))) 1540202178.274 * * [misc]simplify: iters left: 6 (19 enodes) 1540202178.280 * * [misc]simplify: iters left: 5 (28 enodes) 1540202178.288 * * [misc]simplify: iters left: 4 (46 enodes) 1540202178.299 * * [misc]simplify: iters left: 3 (91 enodes) 1540202178.317 * * [misc]simplify: iters left: 2 (156 enodes) 1540202178.350 * * [misc]simplify: iters left: 1 (240 enodes) 1540202178.425 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202178.425 * [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))))) 1540202178.425 * * * * [misc]progress: [ 921 / 6878 ] simplifiying candidate # 1540202178.425 * [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))))))) 1540202178.425 * * [misc]simplify: iters left: 6 (21 enodes) 1540202178.429 * * [misc]simplify: iters left: 5 (34 enodes) 1540202178.434 * * [misc]simplify: iters left: 4 (64 enodes) 1540202178.445 * * [misc]simplify: iters left: 3 (173 enodes) 1540202178.498 * * [misc]simplify: iters left: 2 (484 enodes) 1540202178.897 * [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)))))) 1540202178.897 * [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)))))))) 1540202178.897 * [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)))))) 1540202178.898 * * [misc]simplify: iters left: 6 (20 enodes) 1540202178.904 * * [misc]simplify: iters left: 5 (29 enodes) 1540202178.912 * * [misc]simplify: iters left: 4 (47 enodes) 1540202178.927 * * [misc]simplify: iters left: 3 (92 enodes) 1540202178.964 * * [misc]simplify: iters left: 2 (157 enodes) 1540202179.029 * * [misc]simplify: iters left: 1 (237 enodes) 1540202179.115 * [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)))))) 1540202179.115 * [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)))))))) 1540202179.115 * * * * [misc]progress: [ 922 / 6878 ] simplifiying candidate # 1540202179.115 * [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)))))) 1540202179.115 * * [misc]simplify: iters left: 6 (20 enodes) 1540202179.118 * * [misc]simplify: iters left: 5 (31 enodes) 1540202179.122 * * [misc]simplify: iters left: 4 (55 enodes) 1540202179.132 * * [misc]simplify: iters left: 3 (128 enodes) 1540202179.172 * * [misc]simplify: iters left: 2 (288 enodes) 1540202179.346 * [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)))))) 1540202179.347 * [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)))))))) 1540202179.347 * [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)))))) 1540202179.347 * * [misc]simplify: iters left: 6 (20 enodes) 1540202179.354 * * [misc]simplify: iters left: 5 (29 enodes) 1540202179.359 * * [misc]simplify: iters left: 4 (47 enodes) 1540202179.366 * * [misc]simplify: iters left: 3 (92 enodes) 1540202179.382 * * [misc]simplify: iters left: 2 (157 enodes) 1540202179.425 * * [misc]simplify: iters left: 1 (237 enodes) 1540202179.490 * [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)))))) 1540202179.490 * [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)))))))) 1540202179.490 * * * * [misc]progress: [ 923 / 6878 ] simplifiying candidate # 1540202179.490 * [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)) 1540202179.490 * * [misc]simplify: iters left: 6 (19 enodes) 1540202179.493 * * [misc]simplify: iters left: 5 (32 enodes) 1540202179.498 * * [misc]simplify: iters left: 4 (62 enodes) 1540202179.516 * * [misc]simplify: iters left: 3 (136 enodes) 1540202179.561 * * [misc]simplify: iters left: 2 (240 enodes) 1540202179.655 * * [misc]simplify: iters left: 1 (463 enodes) 1540202179.843 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202179.843 * [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))))))) 1540202179.843 * [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))))) 1540202179.844 * * [misc]simplify: iters left: 6 (19 enodes) 1540202179.846 * * [misc]simplify: iters left: 5 (28 enodes) 1540202179.850 * * [misc]simplify: iters left: 4 (46 enodes) 1540202179.858 * * [misc]simplify: iters left: 3 (91 enodes) 1540202179.874 * * [misc]simplify: iters left: 2 (156 enodes) 1540202179.923 * * [misc]simplify: iters left: 1 (240 enodes) 1540202180.041 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202180.041 * [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))))) 1540202180.042 * * * * [misc]progress: [ 924 / 6878 ] simplifiying candidate # 1540202180.042 * [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))) 1540202180.042 * * [misc]simplify: iters left: 6 (21 enodes) 1540202180.049 * * [misc]simplify: iters left: 5 (35 enodes) 1540202180.055 * * [misc]simplify: iters left: 4 (62 enodes) 1540202180.067 * * [misc]simplify: iters left: 3 (168 enodes) 1540202180.144 * [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)))))) 1540202180.144 * [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))))))) 1540202180.145 * [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))))) 1540202180.145 * * [misc]simplify: iters left: 6 (19 enodes) 1540202180.151 * * [misc]simplify: iters left: 5 (28 enodes) 1540202180.159 * * [misc]simplify: iters left: 4 (47 enodes) 1540202180.174 * * [misc]simplify: iters left: 3 (95 enodes) 1540202180.194 * * [misc]simplify: iters left: 2 (182 enodes) 1540202180.251 * * [misc]simplify: iters left: 1 (319 enodes) 1540202180.397 * [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))))) 1540202180.397 * [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))))))) 1540202180.398 * * * * [misc]progress: [ 925 / 6878 ] simplifiying candidate # 1540202180.398 * [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))) 1540202180.398 * * [misc]simplify: iters left: 6 (21 enodes) 1540202180.402 * * [misc]simplify: iters left: 5 (35 enodes) 1540202180.409 * * [misc]simplify: iters left: 4 (62 enodes) 1540202180.433 * * [misc]simplify: iters left: 3 (168 enodes) 1540202180.504 * [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)))))) 1540202180.504 * [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))))))) 1540202180.504 * [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))))) 1540202180.504 * * [misc]simplify: iters left: 6 (19 enodes) 1540202180.507 * * [misc]simplify: iters left: 5 (28 enodes) 1540202180.511 * * [misc]simplify: iters left: 4 (47 enodes) 1540202180.521 * * [misc]simplify: iters left: 3 (95 enodes) 1540202180.558 * * [misc]simplify: iters left: 2 (182 enodes) 1540202180.613 * * [misc]simplify: iters left: 1 (319 enodes) 1540202180.756 * [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))))) 1540202180.756 * [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))))))) 1540202180.756 * * * * [misc]progress: [ 926 / 6878 ] simplifiying candidate # 1540202180.757 * [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))))))) 1540202180.757 * * [misc]simplify: iters left: 6 (23 enodes) 1540202180.761 * * [misc]simplify: iters left: 5 (38 enodes) 1540202180.767 * * [misc]simplify: iters left: 4 (72 enodes) 1540202180.786 * * [misc]simplify: iters left: 3 (225 enodes) 1540202180.925 * [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)))))) 1540202180.925 * [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)))))))) 1540202180.925 * [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)))))) 1540202180.926 * * [misc]simplify: iters left: 6 (20 enodes) 1540202180.928 * * [misc]simplify: iters left: 5 (29 enodes) 1540202180.933 * * [misc]simplify: iters left: 4 (48 enodes) 1540202180.940 * * [misc]simplify: iters left: 3 (96 enodes) 1540202180.971 * * [misc]simplify: iters left: 2 (183 enodes) 1540202181.053 * * [misc]simplify: iters left: 1 (326 enodes) 1540202181.242 * [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)))))) 1540202181.243 * [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)))))))) 1540202181.243 * * * * [misc]progress: [ 927 / 6878 ] simplifiying candidate # 1540202181.243 * [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)))))) 1540202181.243 * * [misc]simplify: iters left: 6 (22 enodes) 1540202181.251 * * [misc]simplify: iters left: 5 (35 enodes) 1540202181.263 * * [misc]simplify: iters left: 4 (62 enodes) 1540202181.287 * * [misc]simplify: iters left: 3 (168 enodes) 1540202181.360 * [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)))))) 1540202181.360 * [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)))))))) 1540202181.360 * [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)))))) 1540202181.360 * * [misc]simplify: iters left: 6 (20 enodes) 1540202181.363 * * [misc]simplify: iters left: 5 (29 enodes) 1540202181.367 * * [misc]simplify: iters left: 4 (48 enodes) 1540202181.375 * * [misc]simplify: iters left: 3 (96 enodes) 1540202181.400 * * [misc]simplify: iters left: 2 (183 enodes) 1540202181.484 * * [misc]simplify: iters left: 1 (326 enodes) 1540202181.671 * [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)))))) 1540202181.671 * [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)))))))) 1540202181.671 * * * * [misc]progress: [ 928 / 6878 ] simplifiying candidate # 1540202181.671 * [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)) 1540202181.672 * * [misc]simplify: iters left: 6 (20 enodes) 1540202181.679 * * [misc]simplify: iters left: 5 (33 enodes) 1540202181.683 * * [misc]simplify: iters left: 4 (47 enodes) 1540202181.691 * * [misc]simplify: iters left: 3 (86 enodes) 1540202181.707 * * [misc]simplify: iters left: 2 (197 enodes) 1540202181.814 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202181.814 * [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))))))) 1540202181.814 * [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))))) 1540202181.814 * * [misc]simplify: iters left: 6 (19 enodes) 1540202181.817 * * [misc]simplify: iters left: 5 (28 enodes) 1540202181.821 * * [misc]simplify: iters left: 4 (47 enodes) 1540202181.828 * * [misc]simplify: iters left: 3 (95 enodes) 1540202181.858 * * [misc]simplify: iters left: 2 (182 enodes) 1540202181.916 * * [misc]simplify: iters left: 1 (319 enodes) 1540202182.084 * [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)))))) 1540202182.084 * [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)))))))) 1540202182.085 * * * * [misc]progress: [ 929 / 6878 ] simplifiying candidate # 1540202182.085 * [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))) 1540202182.085 * * [misc]simplify: iters left: 6 (19 enodes) 1540202182.092 * * [misc]simplify: iters left: 5 (31 enodes) 1540202182.099 * * [misc]simplify: iters left: 4 (55 enodes) 1540202182.108 * * [misc]simplify: iters left: 3 (128 enodes) 1540202182.152 * * [misc]simplify: iters left: 2 (287 enodes) 1540202182.324 * [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)))))) 1540202182.324 * [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))))))) 1540202182.324 * [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))))) 1540202182.324 * * [misc]simplify: iters left: 6 (19 enodes) 1540202182.329 * * [misc]simplify: iters left: 5 (28 enodes) 1540202182.334 * * [misc]simplify: iters left: 4 (46 enodes) 1540202182.348 * * [misc]simplify: iters left: 3 (91 enodes) 1540202182.381 * * [misc]simplify: iters left: 2 (156 enodes) 1540202182.448 * * [misc]simplify: iters left: 1 (240 enodes) 1540202182.532 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202182.532 * [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))))) 1540202182.532 * * * * [misc]progress: [ 930 / 6878 ] simplifiying candidate # 1540202182.532 * [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))) 1540202182.533 * * [misc]simplify: iters left: 6 (19 enodes) 1540202182.540 * * [misc]simplify: iters left: 5 (31 enodes) 1540202182.551 * * [misc]simplify: iters left: 4 (55 enodes) 1540202182.561 * * [misc]simplify: iters left: 3 (128 enodes) 1540202182.592 * * [misc]simplify: iters left: 2 (287 enodes) 1540202182.748 * [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)))))) 1540202182.748 * [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))))))) 1540202182.749 * [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))))) 1540202182.749 * * [misc]simplify: iters left: 6 (19 enodes) 1540202182.755 * * [misc]simplify: iters left: 5 (28 enodes) 1540202182.763 * * [misc]simplify: iters left: 4 (46 enodes) 1540202182.778 * * [misc]simplify: iters left: 3 (91 enodes) 1540202182.814 * * [misc]simplify: iters left: 2 (156 enodes) 1540202182.875 * * [misc]simplify: iters left: 1 (240 enodes) 1540202182.933 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202182.933 * [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))))) 1540202182.934 * * * * [misc]progress: [ 931 / 6878 ] simplifiying candidate # 1540202182.934 * [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))))))) 1540202182.934 * * [misc]simplify: iters left: 6 (21 enodes) 1540202182.937 * * [misc]simplify: iters left: 5 (34 enodes) 1540202182.942 * * [misc]simplify: iters left: 4 (64 enodes) 1540202182.954 * * [misc]simplify: iters left: 3 (173 enodes) 1540202183.006 * * [misc]simplify: iters left: 2 (484 enodes) 1540202183.488 * [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)))))) 1540202183.488 * [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)))))))) 1540202183.488 * [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)))))) 1540202183.489 * * [misc]simplify: iters left: 6 (20 enodes) 1540202183.495 * * [misc]simplify: iters left: 5 (29 enodes) 1540202183.504 * * [misc]simplify: iters left: 4 (47 enodes) 1540202183.519 * * [misc]simplify: iters left: 3 (92 enodes) 1540202183.557 * * [misc]simplify: iters left: 2 (157 enodes) 1540202183.592 * * [misc]simplify: iters left: 1 (237 enodes) 1540202183.662 * [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)))))) 1540202183.663 * [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 (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)))))))) 1540202183.663 * * * * [misc]progress: [ 932 / 6878 ] simplifiying candidate # 1540202183.663 * [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)))))) 1540202183.663 * * [misc]simplify: iters left: 6 (20 enodes) 1540202183.670 * * [misc]simplify: iters left: 5 (31 enodes) 1540202183.679 * * [misc]simplify: iters left: 4 (55 enodes) 1540202183.698 * * [misc]simplify: iters left: 3 (128 enodes) 1540202183.734 * * [misc]simplify: iters left: 2 (288 enodes) 1540202183.857 * [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)))))) 1540202183.857 * [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)))))))) 1540202183.857 * [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)))))) 1540202183.857 * * [misc]simplify: iters left: 6 (20 enodes) 1540202183.860 * * [misc]simplify: iters left: 5 (29 enodes) 1540202183.864 * * [misc]simplify: iters left: 4 (47 enodes) 1540202183.871 * * [misc]simplify: iters left: 3 (92 enodes) 1540202183.903 * * [misc]simplify: iters left: 2 (157 enodes) 1540202183.950 * * [misc]simplify: iters left: 1 (237 enodes) 1540202184.015 * [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)))))) 1540202184.015 * [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)))))))) 1540202184.015 * * * * [misc]progress: [ 933 / 6878 ] simplifiying candidate # 1540202184.015 * [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)) 1540202184.016 * * [misc]simplify: iters left: 6 (19 enodes) 1540202184.022 * * [misc]simplify: iters left: 5 (32 enodes) 1540202184.033 * * [misc]simplify: iters left: 4 (62 enodes) 1540202184.043 * * [misc]simplify: iters left: 3 (136 enodes) 1540202184.071 * * [misc]simplify: iters left: 2 (240 enodes) 1540202184.164 * * [misc]simplify: iters left: 1 (463 enodes) 1540202184.334 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202184.334 * [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))))))) 1540202184.335 * [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))))) 1540202184.335 * * [misc]simplify: iters left: 6 (19 enodes) 1540202184.340 * * [misc]simplify: iters left: 5 (28 enodes) 1540202184.349 * * [misc]simplify: iters left: 4 (46 enodes) 1540202184.364 * * [misc]simplify: iters left: 3 (91 enodes) 1540202184.397 * * [misc]simplify: iters left: 2 (156 enodes) 1540202184.446 * * [misc]simplify: iters left: 1 (240 enodes) 1540202184.520 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202184.520 * [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))))) 1540202184.520 * * * * [misc]progress: [ 934 / 6878 ] simplifiying candidate # 1540202184.521 * [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))) 1540202184.521 * * [misc]simplify: iters left: 6 (20 enodes) 1540202184.524 * * [misc]simplify: iters left: 5 (34 enodes) 1540202184.530 * * [misc]simplify: iters left: 4 (57 enodes) 1540202184.540 * * [misc]simplify: iters left: 3 (131 enodes) 1540202184.585 * * [misc]simplify: iters left: 2 (372 enodes) 1540202184.915 * [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)))))) 1540202184.915 * [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))))))) 1540202184.916 * [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))))) 1540202184.916 * * [misc]simplify: iters left: 6 (19 enodes) 1540202184.922 * * [misc]simplify: iters left: 5 (28 enodes) 1540202184.930 * * [misc]simplify: iters left: 4 (47 enodes) 1540202184.945 * * [misc]simplify: iters left: 3 (95 enodes) 1540202184.978 * * [misc]simplify: iters left: 2 (182 enodes) 1540202185.035 * * [misc]simplify: iters left: 1 (319 enodes) 1540202185.242 * [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))))) 1540202185.242 * [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))))))) 1540202185.242 * * * * [misc]progress: [ 935 / 6878 ] simplifiying candidate # 1540202185.243 * [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))) 1540202185.243 * * [misc]simplify: iters left: 6 (20 enodes) 1540202185.250 * * [misc]simplify: iters left: 5 (34 enodes) 1540202185.261 * * [misc]simplify: iters left: 4 (57 enodes) 1540202185.281 * * [misc]simplify: iters left: 3 (131 enodes) 1540202185.338 * * [misc]simplify: iters left: 2 (372 enodes) 1540202185.644 * [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)))))) 1540202185.644 * [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))))))) 1540202185.644 * [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))))) 1540202185.645 * * [misc]simplify: iters left: 6 (19 enodes) 1540202185.650 * * [misc]simplify: iters left: 5 (28 enodes) 1540202185.659 * * [misc]simplify: iters left: 4 (47 enodes) 1540202185.677 * * [misc]simplify: iters left: 3 (95 enodes) 1540202185.713 * * [misc]simplify: iters left: 2 (182 enodes) 1540202185.788 * * [misc]simplify: iters left: 1 (319 enodes) 1540202185.924 * [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))))) 1540202185.924 * [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))))))) 1540202185.924 * * * * [misc]progress: [ 936 / 6878 ] simplifiying candidate # 1540202185.925 * [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))))))) 1540202185.925 * * [misc]simplify: iters left: 6 (22 enodes) 1540202185.928 * * [misc]simplify: iters left: 5 (37 enodes) 1540202185.935 * * [misc]simplify: iters left: 4 (66 enodes) 1540202185.962 * * [misc]simplify: iters left: 3 (185 enodes) 1540202186.043 * [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))))) 1540202186.043 * [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)))))))) 1540202186.043 * [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)))))) 1540202186.043 * * [misc]simplify: iters left: 6 (20 enodes) 1540202186.046 * * [misc]simplify: iters left: 5 (29 enodes) 1540202186.050 * * [misc]simplify: iters left: 4 (48 enodes) 1540202186.060 * * [misc]simplify: iters left: 3 (96 enodes) 1540202186.096 * * [misc]simplify: iters left: 2 (183 enodes) 1540202186.176 * * [misc]simplify: iters left: 1 (326 enodes) 1540202186.307 * [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)))))) 1540202186.307 * [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)))))))) 1540202186.307 * * * * [misc]progress: [ 937 / 6878 ] simplifiying candidate # 1540202186.307 * [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)))))) 1540202186.308 * * [misc]simplify: iters left: 6 (21 enodes) 1540202186.311 * * [misc]simplify: iters left: 5 (34 enodes) 1540202186.316 * * [misc]simplify: iters left: 4 (57 enodes) 1540202186.327 * * [misc]simplify: iters left: 3 (131 enodes) 1540202186.387 * * [misc]simplify: iters left: 2 (371 enodes) 1540202186.597 * [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)))))) 1540202186.598 * [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)))))))) 1540202186.598 * [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)))))) 1540202186.598 * * [misc]simplify: iters left: 6 (20 enodes) 1540202186.603 * * [misc]simplify: iters left: 5 (29 enodes) 1540202186.611 * * [misc]simplify: iters left: 4 (48 enodes) 1540202186.627 * * [misc]simplify: iters left: 3 (96 enodes) 1540202186.663 * * [misc]simplify: iters left: 2 (183 enodes) 1540202186.744 * * [misc]simplify: iters left: 1 (326 enodes) 1540202186.886 * [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)))))) 1540202186.886 * [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)))))))) 1540202186.886 * * * * [misc]progress: [ 938 / 6878 ] simplifiying candidate # 1540202186.886 * [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)) 1540202186.887 * * [misc]simplify: iters left: 6 (19 enodes) 1540202186.893 * * [misc]simplify: iters left: 5 (30 enodes) 1540202186.902 * * [misc]simplify: iters left: 4 (45 enodes) 1540202186.917 * * [misc]simplify: iters left: 3 (80 enodes) 1540202186.947 * * [misc]simplify: iters left: 2 (144 enodes) 1540202186.999 * * [misc]simplify: iters left: 1 (312 enodes) 1540202187.157 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540202187.157 * [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))))))) 1540202187.157 * [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))))) 1540202187.157 * * [misc]simplify: iters left: 6 (19 enodes) 1540202187.163 * * [misc]simplify: iters left: 5 (28 enodes) 1540202187.172 * * [misc]simplify: iters left: 4 (47 enodes) 1540202187.187 * * [misc]simplify: iters left: 3 (95 enodes) 1540202187.226 * * [misc]simplify: iters left: 2 (182 enodes) 1540202187.276 * * [misc]simplify: iters left: 1 (319 enodes) 1540202187.410 * [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)))))) 1540202187.410 * [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)))))))) 1540202187.410 * * * * [misc]progress: [ 939 / 6878 ] simplifiying candidate # 1540202187.410 * [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) 1540202187.410 * * [misc]simplify: iters left: 6 (18 enodes) 1540202187.413 * * [misc]simplify: iters left: 5 (29 enodes) 1540202187.418 * * [misc]simplify: iters left: 4 (48 enodes) 1540202187.434 * * [misc]simplify: iters left: 3 (89 enodes) 1540202187.468 * * [misc]simplify: iters left: 2 (162 enodes) 1540202187.506 * * [misc]simplify: iters left: 1 (329 enodes) 1540202187.701 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202187.701 * [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))))))) 1540202187.701 * [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))))) 1540202187.701 * * [misc]simplify: iters left: 6 (19 enodes) 1540202187.705 * * [misc]simplify: iters left: 5 (28 enodes) 1540202187.713 * * [misc]simplify: iters left: 4 (47 enodes) 1540202187.728 * * [misc]simplify: iters left: 3 (95 enodes) 1540202187.748 * * [misc]simplify: iters left: 2 (182 enodes) 1540202187.791 * * [misc]simplify: iters left: 1 (319 enodes) 1540202187.935 * [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)))))) 1540202187.935 * [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)))))))) 1540202187.936 * * * * [misc]progress: [ 940 / 6878 ] simplifiying candidate # 1540202187.936 * [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))) 1540202187.936 * * [misc]simplify: iters left: 6 (17 enodes) 1540202187.938 * * [misc]simplify: iters left: 5 (26 enodes) 1540202187.942 * * [misc]simplify: iters left: 4 (43 enodes) 1540202187.948 * * [misc]simplify: iters left: 3 (77 enodes) 1540202187.962 * * [misc]simplify: iters left: 2 (129 enodes) 1540202187.996 * * [misc]simplify: iters left: 1 (202 enodes) 1540202188.058 * [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))))) 1540202188.058 * [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))))))) 1540202188.059 * [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))))) 1540202188.059 * * [misc]simplify: iters left: 6 (20 enodes) 1540202188.065 * * [misc]simplify: iters left: 5 (31 enodes) 1540202188.073 * * [misc]simplify: iters left: 4 (48 enodes) 1540202188.081 * * [misc]simplify: iters left: 3 (100 enodes) 1540202188.099 * * [misc]simplify: iters left: 2 (208 enodes) 1540202188.221 * [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)))) 1540202188.221 * [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)))))) 1540202188.221 * * * * [misc]progress: [ 941 / 6878 ] simplifiying candidate # 1540202188.222 * [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))) 1540202188.222 * * [misc]simplify: iters left: 6 (19 enodes) 1540202188.229 * * [misc]simplify: iters left: 5 (31 enodes) 1540202188.240 * * [misc]simplify: iters left: 4 (56 enodes) 1540202188.260 * * [misc]simplify: iters left: 3 (132 enodes) 1540202188.329 * * [misc]simplify: iters left: 2 (314 enodes) 1540202188.478 * [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)))))) 1540202188.478 * [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))))) 1540202188.479 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202188.479 * * [misc]simplify: iters left: 6 (18 enodes) 1540202188.481 * * [misc]simplify: iters left: 5 (25 enodes) 1540202188.485 * * [misc]simplify: iters left: 4 (36 enodes) 1540202188.490 * * [misc]simplify: iters left: 3 (51 enodes) 1540202188.498 * * [misc]simplify: iters left: 2 (68 enodes) 1540202188.517 * * [misc]simplify: iters left: 1 (85 enodes) 1540202188.546 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540202188.546 * [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)))))) 1540202188.546 * * * * [misc]progress: [ 942 / 6878 ] simplifiying candidate # 1540202188.547 * [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))))))) 1540202188.547 * * [misc]simplify: iters left: 6 (20 enodes) 1540202188.553 * * [misc]simplify: iters left: 5 (29 enodes) 1540202188.561 * * [misc]simplify: iters left: 4 (50 enodes) 1540202188.568 * * [misc]simplify: iters left: 3 (85 enodes) 1540202188.582 * * [misc]simplify: iters left: 2 (132 enodes) 1540202188.613 * * [misc]simplify: iters left: 1 (199 enodes) 1540202188.653 * [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)))))) 1540202188.653 * [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)))))))) 1540202188.653 * [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)))))) 1540202188.654 * * [misc]simplify: iters left: 6 (20 enodes) 1540202188.656 * * [misc]simplify: iters left: 5 (27 enodes) 1540202188.660 * * [misc]simplify: iters left: 4 (38 enodes) 1540202188.665 * * [misc]simplify: iters left: 3 (53 enodes) 1540202188.673 * * [misc]simplify: iters left: 2 (70 enodes) 1540202188.694 * * [misc]simplify: iters left: 1 (87 enodes) 1540202188.718 * [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)))))) 1540202188.718 * [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)))))))) 1540202188.718 * * * * [misc]progress: [ 943 / 6878 ] simplifiying candidate # 1540202188.719 * [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)))))) 1540202188.719 * * [misc]simplify: iters left: 6 (19 enodes) 1540202188.724 * * [misc]simplify: iters left: 5 (26 enodes) 1540202188.732 * * [misc]simplify: iters left: 4 (39 enodes) 1540202188.743 * * [misc]simplify: iters left: 3 (54 enodes) 1540202188.759 * * [misc]simplify: iters left: 2 (71 enodes) 1540202188.778 * * [misc]simplify: iters left: 1 (88 enodes) 1540202188.803 * [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)))))) 1540202188.803 * [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)))))))) 1540202188.803 * [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)))))) 1540202188.804 * * [misc]simplify: iters left: 6 (20 enodes) 1540202188.810 * * [misc]simplify: iters left: 5 (27 enodes) 1540202188.818 * * [misc]simplify: iters left: 4 (38 enodes) 1540202188.829 * * [misc]simplify: iters left: 3 (53 enodes) 1540202188.844 * * [misc]simplify: iters left: 2 (70 enodes) 1540202188.863 * * [misc]simplify: iters left: 1 (87 enodes) 1540202188.875 * [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)))))) 1540202188.875 * [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)))))))) 1540202188.875 * * * * [misc]progress: [ 944 / 6878 ] simplifiying candidate # 1540202188.876 * [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)))) (pow 2 1/2))) 1540202188.876 * * [misc]simplify: iters left: 6 (20 enodes) 1540202188.879 * * [misc]simplify: iters left: 5 (32 enodes) 1540202188.885 * * [misc]simplify: iters left: 4 (63 enodes) 1540202188.897 * * [misc]simplify: iters left: 3 (165 enodes) 1540202188.946 * * [misc]simplify: iters left: 2 (420 enodes) 1540202189.224 * [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))))) 1540202189.224 * [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))))))) 1540202189.224 * [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))))) 1540202189.224 * * [misc]simplify: iters left: 6 (20 enodes) 1540202189.227 * * [misc]simplify: iters left: 5 (29 enodes) 1540202189.233 * * [misc]simplify: iters left: 4 (48 enodes) 1540202189.240 * * [misc]simplify: iters left: 3 (96 enodes) 1540202189.265 * * [misc]simplify: iters left: 2 (183 enodes) 1540202189.320 * * [misc]simplify: iters left: 1 (324 enodes) 1540202189.496 * [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))))) 1540202189.496 * [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))))))) 1540202189.497 * * * * [misc]progress: [ 945 / 6878 ] simplifiying candidate # 1540202189.498 * [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))) 1540202189.498 * * [misc]simplify: iters left: 6 (20 enodes) 1540202189.505 * * [misc]simplify: iters left: 5 (32 enodes) 1540202189.516 * * [misc]simplify: iters left: 4 (63 enodes) 1540202189.540 * * [misc]simplify: iters left: 3 (165 enodes) 1540202189.616 * * [misc]simplify: iters left: 2 (420 enodes) 1540202189.935 * [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))))) 1540202189.935 * [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))))))) 1540202189.936 * [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))))) 1540202189.936 * * [misc]simplify: iters left: 6 (20 enodes) 1540202189.942 * * [misc]simplify: iters left: 5 (29 enodes) 1540202189.951 * * [misc]simplify: iters left: 4 (48 enodes) 1540202189.959 * * [misc]simplify: iters left: 3 (96 enodes) 1540202189.977 * * [misc]simplify: iters left: 2 (183 enodes) 1540202190.056 * * [misc]simplify: iters left: 1 (324 enodes) 1540202190.203 * [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))))) 1540202190.203 * [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))))))) 1540202190.203 * * * * [misc]progress: [ 946 / 6878 ] simplifiying candidate # 1540202190.203 * [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))))))) 1540202190.203 * * [misc]simplify: iters left: 6 (22 enodes) 1540202190.210 * * [misc]simplify: iters left: 5 (37 enodes) 1540202190.223 * * [misc]simplify: iters left: 4 (88 enodes) 1540202190.260 * * [misc]simplify: iters left: 3 (266 enodes) 1540202190.454 * [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))))))) 1540202190.454 * [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)))))))) 1540202190.454 * [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)))))) 1540202190.455 * * [misc]simplify: iters left: 6 (21 enodes) 1540202190.461 * * [misc]simplify: iters left: 5 (30 enodes) 1540202190.470 * * [misc]simplify: iters left: 4 (49 enodes) 1540202190.488 * * [misc]simplify: iters left: 3 (97 enodes) 1540202190.505 * * [misc]simplify: iters left: 2 (184 enodes) 1540202190.546 * * [misc]simplify: iters left: 1 (323 enodes) 1540202190.725 * [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)))))) 1540202190.725 * [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)))))))) 1540202190.725 * * * * [misc]progress: [ 947 / 6878 ] simplifiying candidate # 1540202190.726 * [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)))))) 1540202190.726 * * [misc]simplify: iters left: 6 (21 enodes) 1540202190.732 * * [misc]simplify: iters left: 5 (32 enodes) 1540202190.739 * * [misc]simplify: iters left: 4 (63 enodes) 1540202190.751 * * [misc]simplify: iters left: 3 (165 enodes) 1540202190.812 * * [misc]simplify: iters left: 2 (422 enodes) 1540202191.119 * [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)))))) 1540202191.119 * [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)))))))) 1540202191.120 * [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)))))) 1540202191.120 * * [misc]simplify: iters left: 6 (21 enodes) 1540202191.126 * * [misc]simplify: iters left: 5 (30 enodes) 1540202191.135 * * [misc]simplify: iters left: 4 (49 enodes) 1540202191.148 * * [misc]simplify: iters left: 3 (97 enodes) 1540202191.166 * * [misc]simplify: iters left: 2 (184 enodes) 1540202191.238 * * [misc]simplify: iters left: 1 (323 enodes) 1540202191.418 * [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)))))) 1540202191.418 * [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)))))))) 1540202191.418 * * * * [misc]progress: [ 948 / 6878 ] simplifiying candidate # 1540202191.418 * [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)) 1540202191.419 * * [misc]simplify: iters left: 6 (20 enodes) 1540202191.425 * * [misc]simplify: iters left: 5 (33 enodes) 1540202191.437 * * [misc]simplify: iters left: 4 (64 enodes) 1540202191.449 * * [misc]simplify: iters left: 3 (161 enodes) 1540202191.525 * [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))))) 1540202191.525 * [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))))))) 1540202191.525 * [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))))) 1540202191.525 * * [misc]simplify: iters left: 6 (20 enodes) 1540202191.528 * * [misc]simplify: iters left: 5 (29 enodes) 1540202191.532 * * [misc]simplify: iters left: 4 (48 enodes) 1540202191.544 * * [misc]simplify: iters left: 3 (96 enodes) 1540202191.580 * * [misc]simplify: iters left: 2 (183 enodes) 1540202191.660 * * [misc]simplify: iters left: 1 (324 enodes) 1540202191.811 * [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))))) 1540202191.811 * [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))))))) 1540202191.811 * * * * [misc]progress: [ 949 / 6878 ] simplifiying candidate # 1540202191.811 * [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))) 1540202191.811 * * [misc]simplify: iters left: 6 (21 enodes) 1540202191.815 * * [misc]simplify: iters left: 5 (32 enodes) 1540202191.825 * * [misc]simplify: iters left: 4 (53 enodes) 1540202191.843 * * [misc]simplify: iters left: 3 (101 enodes) 1540202191.884 * * [misc]simplify: iters left: 2 (188 enodes) 1540202191.932 * * [misc]simplify: iters left: 1 (329 enodes) 1540202192.094 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540202192.094 * [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))))))) 1540202192.094 * [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))))) 1540202192.094 * * [misc]simplify: iters left: 6 (21 enodes) 1540202192.097 * * [misc]simplify: iters left: 5 (30 enodes) 1540202192.102 * * [misc]simplify: iters left: 4 (49 enodes) 1540202192.109 * * [misc]simplify: iters left: 3 (97 enodes) 1540202192.129 * * [misc]simplify: iters left: 2 (184 enodes) 1540202192.186 * * [misc]simplify: iters left: 1 (323 enodes) 1540202192.307 * [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)))) 1540202192.307 * [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)))))) 1540202192.307 * * * * [misc]progress: [ 950 / 6878 ] simplifiying candidate # 1540202192.308 * [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))) 1540202192.308 * * [misc]simplify: iters left: 6 (21 enodes) 1540202192.312 * * [misc]simplify: iters left: 5 (32 enodes) 1540202192.323 * * [misc]simplify: iters left: 4 (53 enodes) 1540202192.339 * * [misc]simplify: iters left: 3 (101 enodes) 1540202192.360 * * [misc]simplify: iters left: 2 (188 enodes) 1540202192.415 * * [misc]simplify: iters left: 1 (329 enodes) 1540202192.534 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540202192.534 * [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))))))) 1540202192.534 * [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))))) 1540202192.534 * * [misc]simplify: iters left: 6 (21 enodes) 1540202192.537 * * [misc]simplify: iters left: 5 (30 enodes) 1540202192.541 * * [misc]simplify: iters left: 4 (49 enodes) 1540202192.549 * * [misc]simplify: iters left: 3 (97 enodes) 1540202192.569 * * [misc]simplify: iters left: 2 (184 enodes) 1540202192.617 * * [misc]simplify: iters left: 1 (323 enodes) 1540202192.724 * [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)))) 1540202192.724 * [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)))))) 1540202192.725 * * * * [misc]progress: [ 951 / 6878 ] simplifiying candidate # 1540202192.725 * [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))))))) 1540202192.725 * * [misc]simplify: iters left: 6 (23 enodes) 1540202192.728 * * [misc]simplify: iters left: 5 (35 enodes) 1540202192.733 * * [misc]simplify: iters left: 4 (62 enodes) 1540202192.755 * * [misc]simplify: iters left: 3 (141 enodes) 1540202192.800 * * [misc]simplify: iters left: 2 (337 enodes) 1540202193.017 * [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))))))) 1540202193.017 * [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)))))))) 1540202193.018 * [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)))))) 1540202193.018 * * [misc]simplify: iters left: 6 (22 enodes) 1540202193.024 * * [misc]simplify: iters left: 5 (31 enodes) 1540202193.034 * * [misc]simplify: iters left: 4 (50 enodes) 1540202193.042 * * [misc]simplify: iters left: 3 (98 enodes) 1540202193.060 * * [misc]simplify: iters left: 2 (185 enodes) 1540202193.100 * * [misc]simplify: iters left: 1 (321 enodes) 1540202193.305 * [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)))))) 1540202193.305 * [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)))))))) 1540202193.306 * * * * [misc]progress: [ 952 / 6878 ] simplifiying candidate # 1540202193.306 * [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)))))) 1540202193.306 * * [misc]simplify: iters left: 6 (22 enodes) 1540202193.313 * * [misc]simplify: iters left: 5 (32 enodes) 1540202193.323 * * [misc]simplify: iters left: 4 (53 enodes) 1540202193.339 * * [misc]simplify: iters left: 3 (101 enodes) 1540202193.367 * * [misc]simplify: iters left: 2 (188 enodes) 1540202193.425 * * [misc]simplify: iters left: 1 (330 enodes) 1540202193.645 * [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)))))) 1540202193.646 * [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)))))))) 1540202193.646 * [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)))))) 1540202193.646 * * [misc]simplify: iters left: 6 (22 enodes) 1540202193.650 * * [misc]simplify: iters left: 5 (31 enodes) 1540202193.654 * * [misc]simplify: iters left: 4 (50 enodes) 1540202193.662 * * [misc]simplify: iters left: 3 (98 enodes) 1540202193.680 * * [misc]simplify: iters left: 2 (185 enodes) 1540202193.721 * * [misc]simplify: iters left: 1 (321 enodes) 1540202193.902 * [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)))))) 1540202193.902 * [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)))))))) 1540202193.902 * * * * [misc]progress: [ 953 / 6878 ] simplifiying candidate # 1540202193.902 * [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)) 1540202193.902 * * [misc]simplify: iters left: 6 (21 enodes) 1540202193.905 * * [misc]simplify: iters left: 5 (32 enodes) 1540202193.910 * * [misc]simplify: iters left: 4 (50 enodes) 1540202193.918 * * [misc]simplify: iters left: 3 (84 enodes) 1540202193.935 * * [misc]simplify: iters left: 2 (177 enodes) 1540202194.005 * * [misc]simplify: iters left: 1 (384 enodes) 1540202194.718 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540202194.718 * [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))))))) 1540202194.718 * [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))))) 1540202194.719 * * [misc]simplify: iters left: 6 (21 enodes) 1540202194.725 * * [misc]simplify: iters left: 5 (30 enodes) 1540202194.734 * * [misc]simplify: iters left: 4 (49 enodes) 1540202194.748 * * [misc]simplify: iters left: 3 (97 enodes) 1540202194.767 * * [misc]simplify: iters left: 2 (184 enodes) 1540202194.809 * * [misc]simplify: iters left: 1 (323 enodes) 1540202194.986 * [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))))) 1540202194.986 * [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))))))) 1540202194.986 * * * * [misc]progress: [ 954 / 6878 ] simplifiying candidate # 1540202194.986 * [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))) 1540202194.986 * * [misc]simplify: iters left: 6 (18 enodes) 1540202194.993 * * [misc]simplify: iters left: 5 (28 enodes) 1540202195.003 * * [misc]simplify: iters left: 4 (48 enodes) 1540202195.024 * * [misc]simplify: iters left: 3 (93 enodes) 1540202195.059 * * [misc]simplify: iters left: 2 (158 enodes) 1540202195.094 * * [misc]simplify: iters left: 1 (243 enodes) 1540202195.174 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202195.174 * [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))))))) 1540202195.175 * [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))))) 1540202195.175 * * [misc]simplify: iters left: 6 (19 enodes) 1540202195.177 * * [misc]simplify: iters left: 5 (28 enodes) 1540202195.181 * * [misc]simplify: iters left: 4 (46 enodes) 1540202195.188 * * [misc]simplify: iters left: 3 (91 enodes) 1540202195.205 * * [misc]simplify: iters left: 2 (156 enodes) 1540202195.251 * * [misc]simplify: iters left: 1 (240 enodes) 1540202195.318 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202195.318 * [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))))) 1540202195.318 * * * * [misc]progress: [ 955 / 6878 ] simplifiying candidate # 1540202195.319 * [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))) 1540202195.319 * * [misc]simplify: iters left: 6 (18 enodes) 1540202195.325 * * [misc]simplify: iters left: 5 (28 enodes) 1540202195.334 * * [misc]simplify: iters left: 4 (48 enodes) 1540202195.350 * * [misc]simplify: iters left: 3 (93 enodes) 1540202195.371 * * [misc]simplify: iters left: 2 (158 enodes) 1540202195.426 * * [misc]simplify: iters left: 1 (243 enodes) 1540202195.536 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202195.537 * [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))))))) 1540202195.537 * [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))))) 1540202195.537 * * [misc]simplify: iters left: 6 (19 enodes) 1540202195.543 * * [misc]simplify: iters left: 5 (28 enodes) 1540202195.551 * * [misc]simplify: iters left: 4 (46 enodes) 1540202195.564 * * [misc]simplify: iters left: 3 (91 enodes) 1540202195.599 * * [misc]simplify: iters left: 2 (156 enodes) 1540202195.639 * * [misc]simplify: iters left: 1 (240 enodes) 1540202195.711 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202195.711 * [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))))) 1540202195.711 * * * * [misc]progress: [ 956 / 6878 ] simplifiying candidate # 1540202195.712 * [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))))))) 1540202195.712 * * [misc]simplify: iters left: 6 (20 enodes) 1540202195.715 * * [misc]simplify: iters left: 5 (31 enodes) 1540202195.720 * * [misc]simplify: iters left: 4 (57 enodes) 1540202195.730 * * [misc]simplify: iters left: 3 (133 enodes) 1540202195.774 * * [misc]simplify: iters left: 2 (298 enodes) 1540202195.956 * [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)))))) 1540202195.956 * [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)))))))) 1540202195.956 * [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)))))) 1540202195.956 * * [misc]simplify: iters left: 6 (20 enodes) 1540202195.959 * * [misc]simplify: iters left: 5 (29 enodes) 1540202195.963 * * [misc]simplify: iters left: 4 (47 enodes) 1540202195.971 * * [misc]simplify: iters left: 3 (92 enodes) 1540202195.994 * * [misc]simplify: iters left: 2 (157 enodes) 1540202196.062 * * [misc]simplify: iters left: 1 (237 enodes) 1540202196.160 * [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)))))) 1540202196.160 * [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)))))))) 1540202196.160 * * * * [misc]progress: [ 957 / 6878 ] simplifiying candidate # 1540202196.160 * [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)))))) 1540202196.160 * * [misc]simplify: iters left: 6 (19 enodes) 1540202196.163 * * [misc]simplify: iters left: 5 (28 enodes) 1540202196.167 * * [misc]simplify: iters left: 4 (48 enodes) 1540202196.174 * * [misc]simplify: iters left: 3 (93 enodes) 1540202196.191 * * [misc]simplify: iters left: 2 (158 enodes) 1540202196.224 * * [misc]simplify: iters left: 1 (238 enodes) 1540202196.292 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202196.292 * [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)))))))) 1540202196.292 * [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)))))) 1540202196.293 * * [misc]simplify: iters left: 6 (20 enodes) 1540202196.298 * * [misc]simplify: iters left: 5 (29 enodes) 1540202196.307 * * [misc]simplify: iters left: 4 (47 enodes) 1540202196.321 * * [misc]simplify: iters left: 3 (92 enodes) 1540202196.346 * * [misc]simplify: iters left: 2 (157 enodes) 1540202196.386 * * [misc]simplify: iters left: 1 (237 enodes) 1540202196.481 * [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)))))) 1540202196.481 * [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)))))))) 1540202196.482 * * * * [misc]progress: [ 958 / 6878 ] simplifiying candidate # 1540202196.482 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202196.482 * * [misc]simplify: iters left: 6 (18 enodes) 1540202196.484 * * [misc]simplify: iters left: 5 (29 enodes) 1540202196.489 * * [misc]simplify: iters left: 4 (53 enodes) 1540202196.498 * * [misc]simplify: iters left: 3 (93 enodes) 1540202196.520 * * [misc]simplify: iters left: 2 (132 enodes) 1540202196.549 * * [misc]simplify: iters left: 1 (205 enodes) 1540202196.621 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540202196.622 * [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))))))) 1540202196.622 * [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))))) 1540202196.622 * * [misc]simplify: iters left: 6 (19 enodes) 1540202196.628 * * [misc]simplify: iters left: 5 (28 enodes) 1540202196.636 * * [misc]simplify: iters left: 4 (46 enodes) 1540202196.643 * * [misc]simplify: iters left: 3 (91 enodes) 1540202196.660 * * [misc]simplify: iters left: 2 (156 enodes) 1540202196.719 * * [misc]simplify: iters left: 1 (240 enodes) 1540202196.809 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202196.809 * [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))))) 1540202196.810 * * * * [misc]progress: [ 959 / 6878 ] simplifiying candidate # 1540202196.810 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202196.810 * * [misc]simplify: iters left: 6 (20 enodes) 1540202196.818 * * [misc]simplify: iters left: 5 (32 enodes) 1540202196.828 * * [misc]simplify: iters left: 4 (55 enodes) 1540202196.848 * * [misc]simplify: iters left: 3 (122 enodes) 1540202196.904 * * [misc]simplify: iters left: 2 (285 enodes) 1540202197.058 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) 1540202197.058 * [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))))))) 1540202197.058 * [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))))) 1540202197.058 * * [misc]simplify: iters left: 6 (19 enodes) 1540202197.061 * * [misc]simplify: iters left: 5 (28 enodes) 1540202197.067 * * [misc]simplify: iters left: 4 (47 enodes) 1540202197.074 * * [misc]simplify: iters left: 3 (95 enodes) 1540202197.092 * * [misc]simplify: iters left: 2 (182 enodes) 1540202197.142 * * [misc]simplify: iters left: 1 (319 enodes) 1540202197.315 * [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))))) 1540202197.315 * [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))))))) 1540202197.315 * * * * [misc]progress: [ 960 / 6878 ] simplifiying candidate # 1540202197.315 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202197.315 * * [misc]simplify: iters left: 6 (20 enodes) 1540202197.323 * * [misc]simplify: iters left: 5 (32 enodes) 1540202197.335 * * [misc]simplify: iters left: 4 (55 enodes) 1540202197.355 * * [misc]simplify: iters left: 3 (122 enodes) 1540202197.410 * * [misc]simplify: iters left: 2 (285 enodes) 1540202197.567 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) 1540202197.567 * [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))))))) 1540202197.567 * [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))))) 1540202197.567 * * [misc]simplify: iters left: 6 (19 enodes) 1540202197.573 * * [misc]simplify: iters left: 5 (28 enodes) 1540202197.581 * * [misc]simplify: iters left: 4 (47 enodes) 1540202197.588 * * [misc]simplify: iters left: 3 (95 enodes) 1540202197.605 * * [misc]simplify: iters left: 2 (182 enodes) 1540202197.650 * * [misc]simplify: iters left: 1 (319 enodes) 1540202197.815 * [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))))) 1540202197.815 * [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))))))) 1540202197.815 * * * * [misc]progress: [ 961 / 6878 ] simplifiying candidate # 1540202197.815 * [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))))))) 1540202197.815 * * [misc]simplify: iters left: 6 (22 enodes) 1540202197.819 * * [misc]simplify: iters left: 5 (35 enodes) 1540202197.824 * * [misc]simplify: iters left: 4 (65 enodes) 1540202197.836 * * [misc]simplify: iters left: 3 (170 enodes) 1540202197.922 * * [misc]simplify: iters left: 2 (454 enodes) 1540202198.185 * [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)))))) 1540202198.185 * [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)))))))) 1540202198.186 * [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)))))) 1540202198.186 * * [misc]simplify: iters left: 6 (20 enodes) 1540202198.192 * * [misc]simplify: iters left: 5 (29 enodes) 1540202198.201 * * [misc]simplify: iters left: 4 (48 enodes) 1540202198.219 * * [misc]simplify: iters left: 3 (96 enodes) 1540202198.241 * * [misc]simplify: iters left: 2 (183 enodes) 1540202198.295 * * [misc]simplify: iters left: 1 (326 enodes) 1540202198.403 * [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)))))) 1540202198.403 * [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)))))))) 1540202198.403 * * * * [misc]progress: [ 962 / 6878 ] simplifiying candidate # 1540202198.403 * [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)))))) 1540202198.404 * * [misc]simplify: iters left: 6 (21 enodes) 1540202198.410 * * [misc]simplify: iters left: 5 (32 enodes) 1540202198.418 * * [misc]simplify: iters left: 4 (55 enodes) 1540202198.438 * * [misc]simplify: iters left: 3 (122 enodes) 1540202198.488 * * [misc]simplify: iters left: 2 (279 enodes) 1540202198.624 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202198.624 * [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)))))))) 1540202198.624 * [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)))))) 1540202198.625 * * [misc]simplify: iters left: 6 (20 enodes) 1540202198.630 * * [misc]simplify: iters left: 5 (29 enodes) 1540202198.641 * * [misc]simplify: iters left: 4 (48 enodes) 1540202198.656 * * [misc]simplify: iters left: 3 (96 enodes) 1540202198.684 * * [misc]simplify: iters left: 2 (183 enodes) 1540202198.745 * * [misc]simplify: iters left: 1 (326 enodes) 1540202198.920 * [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)))))) 1540202198.920 * [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)))))))) 1540202198.920 * * * * [misc]progress: [ 963 / 6878 ] simplifiying candidate # 1540202198.920 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540202198.920 * * [misc]simplify: iters left: 6 (19 enodes) 1540202198.926 * * [misc]simplify: iters left: 5 (30 enodes) 1540202198.929 * * [misc]simplify: iters left: 4 (41 enodes) 1540202198.935 * * [misc]simplify: iters left: 3 (63 enodes) 1540202198.944 * * [misc]simplify: iters left: 2 (100 enodes) 1540202198.983 * * [misc]simplify: iters left: 1 (210 enodes) 1540202199.099 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202199.100 * [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))))))) 1540202199.100 * [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))))) 1540202199.100 * * [misc]simplify: iters left: 6 (19 enodes) 1540202199.102 * * [misc]simplify: iters left: 5 (28 enodes) 1540202199.106 * * [misc]simplify: iters left: 4 (47 enodes) 1540202199.113 * * [misc]simplify: iters left: 3 (95 enodes) 1540202199.134 * * [misc]simplify: iters left: 2 (182 enodes) 1540202199.215 * * [misc]simplify: iters left: 1 (319 enodes) 1540202199.322 * [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)))))) 1540202199.322 * [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)))))))) 1540202199.322 * * * * [misc]progress: [ 964 / 6878 ] simplifiying candidate # 1540202199.322 * [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))) 1540202199.322 * * [misc]simplify: iters left: 6 (18 enodes) 1540202199.326 * * [misc]simplify: iters left: 5 (28 enodes) 1540202199.330 * * [misc]simplify: iters left: 4 (48 enodes) 1540202199.338 * * [misc]simplify: iters left: 3 (93 enodes) 1540202199.355 * * [misc]simplify: iters left: 2 (158 enodes) 1540202199.389 * * [misc]simplify: iters left: 1 (243 enodes) 1540202199.480 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202199.480 * [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))))))) 1540202199.480 * [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))))) 1540202199.480 * * [misc]simplify: iters left: 6 (19 enodes) 1540202199.486 * * [misc]simplify: iters left: 5 (28 enodes) 1540202199.494 * * [misc]simplify: iters left: 4 (46 enodes) 1540202199.506 * * [misc]simplify: iters left: 3 (91 enodes) 1540202199.522 * * [misc]simplify: iters left: 2 (156 enodes) 1540202199.575 * * [misc]simplify: iters left: 1 (240 enodes) 1540202199.684 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202199.684 * [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))))) 1540202199.684 * * * * [misc]progress: [ 965 / 6878 ] simplifiying candidate # 1540202199.685 * [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))) 1540202199.685 * * [misc]simplify: iters left: 6 (18 enodes) 1540202199.688 * * [misc]simplify: iters left: 5 (28 enodes) 1540202199.693 * * [misc]simplify: iters left: 4 (48 enodes) 1540202199.701 * * [misc]simplify: iters left: 3 (93 enodes) 1540202199.717 * * [misc]simplify: iters left: 2 (158 enodes) 1540202199.767 * * [misc]simplify: iters left: 1 (243 enodes) 1540202199.854 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202199.854 * [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))))))) 1540202199.854 * [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))))) 1540202199.854 * * [misc]simplify: iters left: 6 (19 enodes) 1540202199.858 * * [misc]simplify: iters left: 5 (28 enodes) 1540202199.862 * * [misc]simplify: iters left: 4 (46 enodes) 1540202199.869 * * [misc]simplify: iters left: 3 (91 enodes) 1540202199.891 * * [misc]simplify: iters left: 2 (156 enodes) 1540202199.929 * * [misc]simplify: iters left: 1 (240 enodes) 1540202200.015 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202200.015 * [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))))) 1540202200.015 * * * * [misc]progress: [ 966 / 6878 ] simplifiying candidate # 1540202200.015 * [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))))))) 1540202200.016 * * [misc]simplify: iters left: 6 (20 enodes) 1540202200.023 * * [misc]simplify: iters left: 5 (31 enodes) 1540202200.032 * * [misc]simplify: iters left: 4 (57 enodes) 1540202200.052 * * [misc]simplify: iters left: 3 (133 enodes) 1540202200.095 * * [misc]simplify: iters left: 2 (298 enodes) 1540202200.242 * [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)))))) 1540202200.242 * [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)))))))) 1540202200.242 * [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)))))) 1540202200.243 * * [misc]simplify: iters left: 6 (20 enodes) 1540202200.249 * * [misc]simplify: iters left: 5 (29 enodes) 1540202200.258 * * [misc]simplify: iters left: 4 (47 enodes) 1540202200.272 * * [misc]simplify: iters left: 3 (92 enodes) 1540202200.307 * * [misc]simplify: iters left: 2 (157 enodes) 1540202200.338 * * [misc]simplify: iters left: 1 (237 enodes) 1540202200.400 * [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)))))) 1540202200.400 * [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)))))))) 1540202200.400 * * * * [misc]progress: [ 967 / 6878 ] simplifiying candidate # 1540202200.401 * [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)))))) 1540202200.401 * * [misc]simplify: iters left: 6 (19 enodes) 1540202200.403 * * [misc]simplify: iters left: 5 (28 enodes) 1540202200.407 * * [misc]simplify: iters left: 4 (48 enodes) 1540202200.418 * * [misc]simplify: iters left: 3 (93 enodes) 1540202200.446 * * [misc]simplify: iters left: 2 (158 enodes) 1540202200.478 * * [misc]simplify: iters left: 1 (238 enodes) 1540202200.567 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202200.567 * [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)))))))) 1540202200.567 * [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)))))) 1540202200.568 * * [misc]simplify: iters left: 6 (20 enodes) 1540202200.574 * * [misc]simplify: iters left: 5 (29 enodes) 1540202200.583 * * [misc]simplify: iters left: 4 (47 enodes) 1540202200.597 * * [misc]simplify: iters left: 3 (92 enodes) 1540202200.632 * * [misc]simplify: iters left: 2 (157 enodes) 1540202200.696 * * [misc]simplify: iters left: 1 (237 enodes) 1540202200.800 * [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)))))) 1540202200.800 * [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)))))))) 1540202200.800 * * * * [misc]progress: [ 968 / 6878 ] simplifiying candidate # 1540202200.800 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202200.800 * * [misc]simplify: iters left: 6 (18 enodes) 1540202200.806 * * [misc]simplify: iters left: 5 (29 enodes) 1540202200.816 * * [misc]simplify: iters left: 4 (53 enodes) 1540202200.833 * * [misc]simplify: iters left: 3 (93 enodes) 1540202200.862 * * [misc]simplify: iters left: 2 (132 enodes) 1540202200.916 * * [misc]simplify: iters left: 1 (205 enodes) 1540202200.983 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540202200.983 * [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))))))) 1540202200.983 * [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))))) 1540202200.983 * * [misc]simplify: iters left: 6 (19 enodes) 1540202200.989 * * [misc]simplify: iters left: 5 (28 enodes) 1540202200.998 * * [misc]simplify: iters left: 4 (46 enodes) 1540202201.012 * * [misc]simplify: iters left: 3 (91 enodes) 1540202201.042 * * [misc]simplify: iters left: 2 (156 enodes) 1540202201.108 * * [misc]simplify: iters left: 1 (240 enodes) 1540202201.216 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202201.217 * [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))))) 1540202201.217 * * * * [misc]progress: [ 969 / 6878 ] simplifiying candidate # 1540202201.217 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202201.217 * * [misc]simplify: iters left: 6 (19 enodes) 1540202201.220 * * [misc]simplify: iters left: 5 (31 enodes) 1540202201.225 * * [misc]simplify: iters left: 4 (50 enodes) 1540202201.234 * * [misc]simplify: iters left: 3 (102 enodes) 1540202201.253 * * [misc]simplify: iters left: 2 (206 enodes) 1540202201.327 * * [misc]simplify: iters left: 1 (471 enodes) 1540202201.753 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540202201.753 * [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))))))) 1540202201.754 * [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))))) 1540202201.754 * * [misc]simplify: iters left: 6 (19 enodes) 1540202201.756 * * [misc]simplify: iters left: 5 (28 enodes) 1540202201.760 * * [misc]simplify: iters left: 4 (47 enodes) 1540202201.768 * * [misc]simplify: iters left: 3 (95 enodes) 1540202201.791 * * [misc]simplify: iters left: 2 (182 enodes) 1540202201.832 * * [misc]simplify: iters left: 1 (319 enodes) 1540202201.975 * [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))))) 1540202201.975 * [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))))))) 1540202201.975 * * * * [misc]progress: [ 970 / 6878 ] simplifiying candidate # 1540202201.975 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202201.975 * * [misc]simplify: iters left: 6 (19 enodes) 1540202201.979 * * [misc]simplify: iters left: 5 (31 enodes) 1540202201.984 * * [misc]simplify: iters left: 4 (50 enodes) 1540202201.992 * * [misc]simplify: iters left: 3 (102 enodes) 1540202202.013 * * [misc]simplify: iters left: 2 (206 enodes) 1540202202.078 * * [misc]simplify: iters left: 1 (471 enodes) 1540202202.508 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540202202.508 * [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))))))) 1540202202.508 * [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))))) 1540202202.509 * * [misc]simplify: iters left: 6 (19 enodes) 1540202202.511 * * [misc]simplify: iters left: 5 (28 enodes) 1540202202.515 * * [misc]simplify: iters left: 4 (47 enodes) 1540202202.522 * * [misc]simplify: iters left: 3 (95 enodes) 1540202202.540 * * [misc]simplify: iters left: 2 (182 enodes) 1540202202.613 * * [misc]simplify: iters left: 1 (319 enodes) 1540202202.751 * [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))))) 1540202202.751 * [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))))))) 1540202202.752 * * * * [misc]progress: [ 971 / 6878 ] simplifiying candidate # 1540202202.752 * [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))))))) 1540202202.752 * * [misc]simplify: iters left: 6 (21 enodes) 1540202202.755 * * [misc]simplify: iters left: 5 (34 enodes) 1540202202.760 * * [misc]simplify: iters left: 4 (59 enodes) 1540202202.778 * * [misc]simplify: iters left: 3 (153 enodes) 1540202202.822 * * [misc]simplify: iters left: 2 (399 enodes) 1540202203.067 * [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)))))) 1540202203.067 * [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)))))))) 1540202203.067 * [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)))))) 1540202203.067 * * [misc]simplify: iters left: 6 (20 enodes) 1540202203.070 * * [misc]simplify: iters left: 5 (29 enodes) 1540202203.074 * * [misc]simplify: iters left: 4 (48 enodes) 1540202203.083 * * [misc]simplify: iters left: 3 (96 enodes) 1540202203.112 * * [misc]simplify: iters left: 2 (183 enodes) 1540202203.157 * * [misc]simplify: iters left: 1 (326 enodes) 1540202203.292 * [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)))))) 1540202203.292 * [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)))))))) 1540202203.292 * * * * [misc]progress: [ 972 / 6878 ] simplifiying candidate # 1540202203.292 * [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)))))) 1540202203.292 * * [misc]simplify: iters left: 6 (20 enodes) 1540202203.295 * * [misc]simplify: iters left: 5 (31 enodes) 1540202203.299 * * [misc]simplify: iters left: 4 (50 enodes) 1540202203.307 * * [misc]simplify: iters left: 3 (102 enodes) 1540202203.331 * * [misc]simplify: iters left: 2 (206 enodes) 1540202203.395 * * [misc]simplify: iters left: 1 (486 enodes) 1540202203.935 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540202203.935 * [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)))))))) 1540202203.935 * [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)))))) 1540202203.935 * * [misc]simplify: iters left: 6 (20 enodes) 1540202203.938 * * [misc]simplify: iters left: 5 (29 enodes) 1540202203.942 * * [misc]simplify: iters left: 4 (48 enodes) 1540202203.949 * * [misc]simplify: iters left: 3 (96 enodes) 1540202203.971 * * [misc]simplify: iters left: 2 (183 enodes) 1540202204.037 * * [misc]simplify: iters left: 1 (326 enodes) 1540202204.208 * [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)))))) 1540202204.208 * [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)))))))) 1540202204.208 * * * * [misc]progress: [ 973 / 6878 ] simplifiying candidate # 1540202204.209 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540202204.209 * * [misc]simplify: iters left: 6 (18 enodes) 1540202204.214 * * [misc]simplify: iters left: 5 (27 enodes) 1540202204.222 * * [misc]simplify: iters left: 4 (38 enodes) 1540202204.233 * * [misc]simplify: iters left: 3 (53 enodes) 1540202204.246 * * [misc]simplify: iters left: 2 (76 enodes) 1540202204.261 * * [misc]simplify: iters left: 1 (105 enodes) 1540202204.278 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202204.278 * [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))))))) 1540202204.279 * [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))))) 1540202204.279 * * [misc]simplify: iters left: 6 (19 enodes) 1540202204.281 * * [misc]simplify: iters left: 5 (28 enodes) 1540202204.287 * * [misc]simplify: iters left: 4 (47 enodes) 1540202204.302 * * [misc]simplify: iters left: 3 (95 enodes) 1540202204.320 * * [misc]simplify: iters left: 2 (182 enodes) 1540202204.375 * * [misc]simplify: iters left: 1 (319 enodes) 1540202204.496 * [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)))))) 1540202204.496 * [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)))))))) 1540202204.496 * * * * [misc]progress: [ 974 / 6878 ] simplifiying candidate # 1540202204.496 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540202204.496 * * [misc]simplify: iters left: 6 (17 enodes) 1540202204.499 * * [misc]simplify: iters left: 5 (26 enodes) 1540202204.502 * * [misc]simplify: iters left: 4 (39 enodes) 1540202204.508 * * [misc]simplify: iters left: 3 (58 enodes) 1540202204.515 * * [misc]simplify: iters left: 2 (84 enodes) 1540202204.526 * * [misc]simplify: iters left: 1 (109 enodes) 1540202204.542 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202204.542 * [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))))))) 1540202204.542 * [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))))) 1540202204.542 * * [misc]simplify: iters left: 6 (19 enodes) 1540202204.546 * * [misc]simplify: iters left: 5 (28 enodes) 1540202204.553 * * [misc]simplify: iters left: 4 (47 enodes) 1540202204.560 * * [misc]simplify: iters left: 3 (95 enodes) 1540202204.579 * * [misc]simplify: iters left: 2 (182 enodes) 1540202204.624 * * [misc]simplify: iters left: 1 (319 enodes) 1540202204.756 * [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)))))) 1540202204.756 * [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)))))))) 1540202204.756 * * * * [misc]progress: [ 975 / 6878 ] simplifiying candidate # 1540202204.756 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540202204.756 * * [misc]simplify: iters left: 6 (16 enodes) 1540202204.759 * * [misc]simplify: iters left: 5 (23 enodes) 1540202204.762 * * [misc]simplify: iters left: 4 (36 enodes) 1540202204.770 * * [misc]simplify: iters left: 3 (51 enodes) 1540202204.786 * * [misc]simplify: iters left: 2 (68 enodes) 1540202204.805 * * [misc]simplify: iters left: 1 (85 enodes) 1540202204.828 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202204.828 * [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))))))) 1540202204.829 * [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))))) 1540202204.829 * * [misc]simplify: iters left: 6 (20 enodes) 1540202204.835 * * [misc]simplify: iters left: 5 (31 enodes) 1540202204.844 * * [misc]simplify: iters left: 4 (48 enodes) 1540202204.852 * * [misc]simplify: iters left: 3 (100 enodes) 1540202204.870 * * [misc]simplify: iters left: 2 (208 enodes) 1540202204.955 * [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)))) 1540202204.955 * [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)))))) 1540202204.955 * * * * [misc]progress: [ 976 / 6878 ] simplifiying candidate # 1540202204.955 * [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))) 1540202204.955 * * [misc]simplify: iters left: 6 (18 enodes) 1540202204.958 * * [misc]simplify: iters left: 5 (28 enodes) 1540202204.963 * * [misc]simplify: iters left: 4 (49 enodes) 1540202204.973 * * [misc]simplify: iters left: 3 (97 enodes) 1540202204.995 * * [misc]simplify: iters left: 2 (184 enodes) 1540202205.048 * * [misc]simplify: iters left: 1 (321 enodes) 1540202205.163 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202205.163 * [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))))) 1540202205.164 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202205.164 * * [misc]simplify: iters left: 6 (18 enodes) 1540202205.166 * * [misc]simplify: iters left: 5 (25 enodes) 1540202205.170 * * [misc]simplify: iters left: 4 (36 enodes) 1540202205.175 * * [misc]simplify: iters left: 3 (51 enodes) 1540202205.183 * * [misc]simplify: iters left: 2 (68 enodes) 1540202205.196 * * [misc]simplify: iters left: 1 (85 enodes) 1540202205.208 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540202205.208 * [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)))))) 1540202205.208 * * * * [misc]progress: [ 977 / 6878 ] simplifiying candidate # 1540202205.208 * [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))))))) 1540202205.208 * * [misc]simplify: iters left: 6 (18 enodes) 1540202205.211 * * [misc]simplify: iters left: 5 (29 enodes) 1540202205.215 * * [misc]simplify: iters left: 4 (54 enodes) 1540202205.224 * * [misc]simplify: iters left: 3 (113 enodes) 1540202205.271 * * [misc]simplify: iters left: 2 (314 enodes) 1540202205.560 * [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))))))) 1540202205.560 * [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)))))))) 1540202205.560 * [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)))))) 1540202205.560 * * [misc]simplify: iters left: 6 (19 enodes) 1540202205.566 * * [misc]simplify: iters left: 5 (26 enodes) 1540202205.572 * * [misc]simplify: iters left: 4 (37 enodes) 1540202205.578 * * [misc]simplify: iters left: 3 (52 enodes) 1540202205.585 * * [misc]simplify: iters left: 2 (69 enodes) 1540202205.594 * * [misc]simplify: iters left: 1 (86 enodes) 1540202205.606 * [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)))))) 1540202205.606 * [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)))))))) 1540202205.606 * * * * [misc]progress: [ 978 / 6878 ] simplifiying candidate # 1540202205.607 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202205.607 * * [misc]simplify: iters left: 6 (17 enodes) 1540202205.609 * * [misc]simplify: iters left: 5 (26 enodes) 1540202205.613 * * [misc]simplify: iters left: 4 (43 enodes) 1540202205.619 * * [misc]simplify: iters left: 3 (64 enodes) 1540202205.630 * * [misc]simplify: iters left: 2 (127 enodes) 1540202205.673 * * [misc]simplify: iters left: 1 (212 enodes) 1540202205.702 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202205.702 * [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)))))))) 1540202205.702 * [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)))))) 1540202205.702 * * [misc]simplify: iters left: 6 (19 enodes) 1540202205.708 * * [misc]simplify: iters left: 5 (26 enodes) 1540202205.716 * * [misc]simplify: iters left: 4 (37 enodes) 1540202205.726 * * [misc]simplify: iters left: 3 (52 enodes) 1540202205.734 * * [misc]simplify: iters left: 2 (69 enodes) 1540202205.743 * * [misc]simplify: iters left: 1 (86 enodes) 1540202205.755 * [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)))))) 1540202205.755 * [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)))))))) 1540202205.755 * * * * [misc]progress: [ 979 / 6878 ] simplifiying candidate # 1540202205.755 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202205.755 * * [misc]simplify: iters left: 6 (16 enodes) 1540202205.761 * * [misc]simplify: iters left: 5 (28 enodes) 1540202205.772 * * [misc]simplify: iters left: 4 (59 enodes) 1540202205.784 * * [misc]simplify: iters left: 3 (142 enodes) 1540202205.835 * * [misc]simplify: iters left: 2 (403 enodes) 1540202206.039 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202206.039 * [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))))))) 1540202206.040 * [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))))) 1540202206.040 * * [misc]simplify: iters left: 6 (19 enodes) 1540202206.044 * * [misc]simplify: iters left: 5 (28 enodes) 1540202206.049 * * [misc]simplify: iters left: 4 (47 enodes) 1540202206.056 * * [misc]simplify: iters left: 3 (95 enodes) 1540202206.073 * * [misc]simplify: iters left: 2 (182 enodes) 1540202206.113 * * [misc]simplify: iters left: 1 (317 enodes) 1540202206.210 * [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)))))) 1540202206.211 * [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)))))))) 1540202206.211 * * * * [misc]progress: [ 980 / 6878 ] simplifiying candidate # 1540202206.211 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202206.211 * * [misc]simplify: iters left: 6 (16 enodes) 1540202206.214 * * [misc]simplify: iters left: 5 (28 enodes) 1540202206.223 * * [misc]simplify: iters left: 4 (59 enodes) 1540202206.245 * * [misc]simplify: iters left: 3 (142 enodes) 1540202206.300 * * [misc]simplify: iters left: 2 (403 enodes) 1540202206.529 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202206.529 * [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))))))) 1540202206.529 * [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))))) 1540202206.530 * * [misc]simplify: iters left: 6 (19 enodes) 1540202206.535 * * [misc]simplify: iters left: 5 (28 enodes) 1540202206.544 * * [misc]simplify: iters left: 4 (47 enodes) 1540202206.559 * * [misc]simplify: iters left: 3 (95 enodes) 1540202206.589 * * [misc]simplify: iters left: 2 (182 enodes) 1540202206.645 * * [misc]simplify: iters left: 1 (317 enodes) 1540202206.780 * [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)))))) 1540202206.780 * [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)))))))) 1540202206.780 * * * * [misc]progress: [ 981 / 6878 ] simplifiying candidate # 1540202206.780 * [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))))))) 1540202206.781 * * [misc]simplify: iters left: 6 (20 enodes) 1540202206.785 * * [misc]simplify: iters left: 5 (37 enodes) 1540202206.792 * * [misc]simplify: iters left: 4 (90 enodes) 1540202206.810 * * [misc]simplify: iters left: 3 (242 enodes) 1540202206.949 * [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)))))) 1540202206.949 * [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)))))))) 1540202206.949 * [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)))))) 1540202206.949 * * [misc]simplify: iters left: 6 (20 enodes) 1540202206.952 * * [misc]simplify: iters left: 5 (29 enodes) 1540202206.956 * * [misc]simplify: iters left: 4 (48 enodes) 1540202206.963 * * [misc]simplify: iters left: 3 (96 enodes) 1540202206.989 * * [misc]simplify: iters left: 2 (183 enodes) 1540202207.030 * * [misc]simplify: iters left: 1 (321 enodes) 1540202207.137 * [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)))))) 1540202207.137 * [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)))))))) 1540202207.137 * * * * [misc]progress: [ 982 / 6878 ] simplifiying candidate # 1540202207.138 * [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)))))) 1540202207.138 * * [misc]simplify: iters left: 6 (19 enodes) 1540202207.141 * * [misc]simplify: iters left: 5 (32 enodes) 1540202207.146 * * [misc]simplify: iters left: 4 (66 enodes) 1540202207.157 * * [misc]simplify: iters left: 3 (151 enodes) 1540202207.219 * * [misc]simplify: iters left: 2 (410 enodes) 1540202207.440 * [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)))))) 1540202207.440 * [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)))))))) 1540202207.441 * [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)))))) 1540202207.441 * * [misc]simplify: iters left: 6 (20 enodes) 1540202207.444 * * [misc]simplify: iters left: 5 (29 enodes) 1540202207.448 * * [misc]simplify: iters left: 4 (48 enodes) 1540202207.456 * * [misc]simplify: iters left: 3 (96 enodes) 1540202207.480 * * [misc]simplify: iters left: 2 (183 enodes) 1540202207.520 * * [misc]simplify: iters left: 1 (321 enodes) 1540202207.660 * [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)))))) 1540202207.660 * [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)))))))) 1540202207.660 * * * * [misc]progress: [ 983 / 6878 ] simplifiying candidate # 1540202207.661 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202207.661 * * [misc]simplify: iters left: 6 (14 enodes) 1540202207.663 * * [misc]simplify: iters left: 5 (25 enodes) 1540202207.667 * * [misc]simplify: iters left: 4 (51 enodes) 1540202207.675 * * [misc]simplify: iters left: 3 (85 enodes) 1540202207.695 * * [misc]simplify: iters left: 2 (186 enodes) 1540202207.773 * * [misc]simplify: iters left: 1 (333 enodes) 1540202207.873 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202207.873 * [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))))))) 1540202207.874 * [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))))) 1540202207.874 * * [misc]simplify: iters left: 6 (19 enodes) 1540202207.880 * * [misc]simplify: iters left: 5 (28 enodes) 1540202207.888 * * [misc]simplify: iters left: 4 (47 enodes) 1540202207.897 * * [misc]simplify: iters left: 3 (95 enodes) 1540202207.914 * * [misc]simplify: iters left: 2 (182 enodes) 1540202207.960 * * [misc]simplify: iters left: 1 (317 enodes) 1540202208.087 * [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)))))) 1540202208.087 * [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)))))))) 1540202208.087 * * * * [misc]progress: [ 984 / 6878 ] simplifiying candidate # 1540202208.087 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202208.087 * * [misc]simplify: iters left: 6 (17 enodes) 1540202208.091 * * [misc]simplify: iters left: 5 (28 enodes) 1540202208.097 * * [misc]simplify: iters left: 4 (50 enodes) 1540202208.108 * * [misc]simplify: iters left: 3 (86 enodes) 1540202208.125 * * [misc]simplify: iters left: 2 (152 enodes) 1540202208.166 * * [misc]simplify: iters left: 1 (268 enodes) 1540202208.268 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540202208.268 * [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))))))) 1540202208.268 * [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))))) 1540202208.269 * * [misc]simplify: iters left: 6 (20 enodes) 1540202208.271 * * [misc]simplify: iters left: 5 (29 enodes) 1540202208.280 * * [misc]simplify: iters left: 4 (48 enodes) 1540202208.287 * * [misc]simplify: iters left: 3 (96 enodes) 1540202208.306 * * [misc]simplify: iters left: 2 (183 enodes) 1540202208.352 * * [misc]simplify: iters left: 1 (323 enodes) 1540202208.505 * [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)))) 1540202208.505 * [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)))))) 1540202208.505 * * * * [misc]progress: [ 985 / 6878 ] simplifiying candidate # 1540202208.505 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202208.506 * * [misc]simplify: iters left: 6 (17 enodes) 1540202208.509 * * [misc]simplify: iters left: 5 (28 enodes) 1540202208.513 * * [misc]simplify: iters left: 4 (50 enodes) 1540202208.521 * * [misc]simplify: iters left: 3 (86 enodes) 1540202208.540 * * [misc]simplify: iters left: 2 (152 enodes) 1540202208.581 * * [misc]simplify: iters left: 1 (268 enodes) 1540202208.689 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540202208.689 * [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))))))) 1540202208.690 * [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))))) 1540202208.690 * * [misc]simplify: iters left: 6 (20 enodes) 1540202208.696 * * [misc]simplify: iters left: 5 (29 enodes) 1540202208.700 * * [misc]simplify: iters left: 4 (48 enodes) 1540202208.707 * * [misc]simplify: iters left: 3 (96 enodes) 1540202208.724 * * [misc]simplify: iters left: 2 (183 enodes) 1540202208.765 * * [misc]simplify: iters left: 1 (323 enodes) 1540202208.874 * [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)))) 1540202208.874 * [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)))))) 1540202208.875 * * * * [misc]progress: [ 986 / 6878 ] simplifiying candidate # 1540202208.875 * [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))))))) 1540202208.875 * * [misc]simplify: iters left: 6 (21 enodes) 1540202208.878 * * [misc]simplify: iters left: 5 (35 enodes) 1540202208.883 * * [misc]simplify: iters left: 4 (66 enodes) 1540202208.894 * * [misc]simplify: iters left: 3 (118 enodes) 1540202208.917 * * [misc]simplify: iters left: 2 (332 enodes) 1540202209.077 * [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))))) 1540202209.077 * [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)))))))) 1540202209.078 * [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)))))) 1540202209.078 * * [misc]simplify: iters left: 6 (21 enodes) 1540202209.081 * * [misc]simplify: iters left: 5 (30 enodes) 1540202209.085 * * [misc]simplify: iters left: 4 (49 enodes) 1540202209.092 * * [misc]simplify: iters left: 3 (97 enodes) 1540202209.113 * * [misc]simplify: iters left: 2 (184 enodes) 1540202209.164 * * [misc]simplify: iters left: 1 (321 enodes) 1540202209.291 * [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)))))) 1540202209.291 * [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)))))))) 1540202209.291 * * * * [misc]progress: [ 987 / 6878 ] simplifiying candidate # 1540202209.291 * [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)))))) 1540202209.291 * * [misc]simplify: iters left: 6 (20 enodes) 1540202209.294 * * [misc]simplify: iters left: 5 (32 enodes) 1540202209.299 * * [misc]simplify: iters left: 4 (57 enodes) 1540202209.307 * * [misc]simplify: iters left: 3 (93 enodes) 1540202209.323 * * [misc]simplify: iters left: 2 (185 enodes) 1540202209.377 * * [misc]simplify: iters left: 1 (354 enodes) 1540202209.539 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540202209.540 * [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)))))))) 1540202209.541 * [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)))))) 1540202209.541 * * [misc]simplify: iters left: 6 (21 enodes) 1540202209.544 * * [misc]simplify: iters left: 5 (30 enodes) 1540202209.549 * * [misc]simplify: iters left: 4 (49 enodes) 1540202209.564 * * [misc]simplify: iters left: 3 (97 enodes) 1540202209.600 * * [misc]simplify: iters left: 2 (184 enodes) 1540202209.648 * * [misc]simplify: iters left: 1 (321 enodes) 1540202209.773 * [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)))))) 1540202209.773 * [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)))))))) 1540202209.773 * * * * [misc]progress: [ 988 / 6878 ] simplifiying candidate # 1540202209.773 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202209.773 * * [misc]simplify: iters left: 6 (15 enodes) 1540202209.775 * * [misc]simplify: iters left: 5 (24 enodes) 1540202209.779 * * [misc]simplify: iters left: 4 (41 enodes) 1540202209.785 * * [misc]simplify: iters left: 3 (56 enodes) 1540202209.792 * * [misc]simplify: iters left: 2 (74 enodes) 1540202209.804 * * [misc]simplify: iters left: 1 (89 enodes) 1540202209.817 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540202209.818 * [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))))))) 1540202209.818 * [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))))) 1540202209.818 * * [misc]simplify: iters left: 6 (20 enodes) 1540202209.822 * * [misc]simplify: iters left: 5 (29 enodes) 1540202209.826 * * [misc]simplify: iters left: 4 (48 enodes) 1540202209.834 * * [misc]simplify: iters left: 3 (96 enodes) 1540202209.851 * * [misc]simplify: iters left: 2 (183 enodes) 1540202209.899 * * [misc]simplify: iters left: 1 (323 enodes) 1540202210.067 * [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))))) 1540202210.067 * [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))))))) 1540202210.068 * * * * [misc]progress: [ 989 / 6878 ] simplifiying candidate # 1540202210.068 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202210.068 * * [misc]simplify: iters left: 6 (14 enodes) 1540202210.075 * * [misc]simplify: iters left: 5 (24 enodes) 1540202210.082 * * [misc]simplify: iters left: 4 (51 enodes) 1540202210.090 * * [misc]simplify: iters left: 3 (75 enodes) 1540202210.103 * * [misc]simplify: iters left: 2 (119 enodes) 1540202210.126 * * [misc]simplify: iters left: 1 (163 enodes) 1540202210.181 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540202210.181 * [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))))))) 1540202210.181 * [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))))) 1540202210.181 * * [misc]simplify: iters left: 6 (18 enodes) 1540202210.184 * * [misc]simplify: iters left: 5 (27 enodes) 1540202210.188 * * [misc]simplify: iters left: 4 (45 enodes) 1540202210.195 * * [misc]simplify: iters left: 3 (90 enodes) 1540202210.218 * * [misc]simplify: iters left: 2 (155 enodes) 1540202210.258 * * [misc]simplify: iters left: 1 (239 enodes) 1540202210.328 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202210.328 * [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))))))) 1540202210.328 * * * * [misc]progress: [ 990 / 6878 ] simplifiying candidate # 1540202210.328 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202210.328 * * [misc]simplify: iters left: 6 (14 enodes) 1540202210.331 * * [misc]simplify: iters left: 5 (24 enodes) 1540202210.335 * * [misc]simplify: iters left: 4 (51 enodes) 1540202210.344 * * [misc]simplify: iters left: 3 (75 enodes) 1540202210.357 * * [misc]simplify: iters left: 2 (119 enodes) 1540202210.396 * * [misc]simplify: iters left: 1 (163 enodes) 1540202210.451 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540202210.451 * [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))))))) 1540202210.452 * [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))))) 1540202210.452 * * [misc]simplify: iters left: 6 (18 enodes) 1540202210.454 * * [misc]simplify: iters left: 5 (27 enodes) 1540202210.460 * * [misc]simplify: iters left: 4 (45 enodes) 1540202210.467 * * [misc]simplify: iters left: 3 (90 enodes) 1540202210.484 * * [misc]simplify: iters left: 2 (155 enodes) 1540202210.525 * * [misc]simplify: iters left: 1 (239 enodes) 1540202210.587 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202210.587 * [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))))))) 1540202210.587 * * * * [misc]progress: [ 991 / 6878 ] simplifiying candidate # 1540202210.587 * [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))))))) 1540202210.588 * * [misc]simplify: iters left: 6 (18 enodes) 1540202210.590 * * [misc]simplify: iters left: 5 (31 enodes) 1540202210.595 * * [misc]simplify: iters left: 4 (69 enodes) 1540202210.606 * * [misc]simplify: iters left: 3 (130 enodes) 1540202210.639 * * [misc]simplify: iters left: 2 (240 enodes) 1540202210.739 * * [misc]simplify: iters left: 1 (489 enodes) 1540202210.984 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202210.984 * [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)))))))) 1540202210.984 * [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)))))) 1540202210.985 * * [misc]simplify: iters left: 6 (19 enodes) 1540202210.990 * * [misc]simplify: iters left: 5 (28 enodes) 1540202210.995 * * [misc]simplify: iters left: 4 (46 enodes) 1540202211.002 * * [misc]simplify: iters left: 3 (91 enodes) 1540202211.018 * * [misc]simplify: iters left: 2 (156 enodes) 1540202211.063 * * [misc]simplify: iters left: 1 (239 enodes) 1540202211.130 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202211.130 * [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)))))))) 1540202211.130 * * * * [misc]progress: [ 992 / 6878 ] simplifiying candidate # 1540202211.131 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202211.131 * * [misc]simplify: iters left: 6 (17 enodes) 1540202211.133 * * [misc]simplify: iters left: 5 (28 enodes) 1540202211.138 * * [misc]simplify: iters left: 4 (58 enodes) 1540202211.146 * * [misc]simplify: iters left: 3 (80 enodes) 1540202211.157 * * [misc]simplify: iters left: 2 (115 enodes) 1540202211.177 * * [misc]simplify: iters left: 1 (171 enodes) 1540202211.221 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540202211.221 * [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)))))))) 1540202211.222 * [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)))))) 1540202211.222 * * [misc]simplify: iters left: 6 (19 enodes) 1540202211.225 * * [misc]simplify: iters left: 5 (28 enodes) 1540202211.234 * * [misc]simplify: iters left: 4 (46 enodes) 1540202211.249 * * [misc]simplify: iters left: 3 (91 enodes) 1540202211.270 * * [misc]simplify: iters left: 2 (156 enodes) 1540202211.301 * * [misc]simplify: iters left: 1 (239 enodes) 1540202211.356 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202211.356 * [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)))))))) 1540202211.356 * * * * [misc]progress: [ 993 / 6878 ] simplifiying candidate # 1540202211.357 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202211.357 * * [misc]simplify: iters left: 6 (11 enodes) 1540202211.358 * * [misc]simplify: iters left: 5 (20 enodes) 1540202211.362 * * [misc]simplify: iters left: 4 (37 enodes) 1540202211.370 * * [misc]simplify: iters left: 3 (44 enodes) 1540202211.377 * * [misc]simplify: iters left: 2 (53 enodes) 1540202211.384 * * [misc]simplify: iters left: 1 (63 enodes) 1540202211.391 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202211.392 * [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))))))) 1540202211.392 * [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))))) 1540202211.392 * * [misc]simplify: iters left: 6 (18 enodes) 1540202211.394 * * [misc]simplify: iters left: 5 (27 enodes) 1540202211.398 * * [misc]simplify: iters left: 4 (45 enodes) 1540202211.406 * * [misc]simplify: iters left: 3 (90 enodes) 1540202211.431 * * [misc]simplify: iters left: 2 (155 enodes) 1540202211.464 * * [misc]simplify: iters left: 1 (239 enodes) 1540202211.552 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540202211.552 * [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))))))) 1540202211.552 * * * * [misc]progress: [ 994 / 6878 ] simplifiying candidate # 1540202211.552 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202211.552 * * [misc]simplify: iters left: 6 (15 enodes) 1540202211.558 * * [misc]simplify: iters left: 5 (25 enodes) 1540202211.565 * * [misc]simplify: iters left: 4 (49 enodes) 1540202211.575 * * [misc]simplify: iters left: 3 (109 enodes) 1540202211.610 * * [misc]simplify: iters left: 2 (173 enodes) 1540202211.668 * * [misc]simplify: iters left: 1 (213 enodes) 1540202211.714 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202211.714 * [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))))))) 1540202211.715 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202211.715 * * [misc]simplify: iters left: 6 (18 enodes) 1540202211.717 * * [misc]simplify: iters left: 5 (27 enodes) 1540202211.721 * * [misc]simplify: iters left: 4 (46 enodes) 1540202211.729 * * [misc]simplify: iters left: 3 (94 enodes) 1540202211.747 * * [misc]simplify: iters left: 2 (181 enodes) 1540202211.802 * * [misc]simplify: iters left: 1 (323 enodes) 1540202211.914 * [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)))) 1540202211.914 * [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)))))) 1540202211.914 * * * * [misc]progress: [ 995 / 6878 ] simplifiying candidate # 1540202211.914 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202211.915 * * [misc]simplify: iters left: 6 (15 enodes) 1540202211.918 * * [misc]simplify: iters left: 5 (25 enodes) 1540202211.927 * * [misc]simplify: iters left: 4 (49 enodes) 1540202211.941 * * [misc]simplify: iters left: 3 (109 enodes) 1540202211.973 * * [misc]simplify: iters left: 2 (173 enodes) 1540202212.029 * * [misc]simplify: iters left: 1 (213 enodes) 1540202212.083 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202212.083 * [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))))))) 1540202212.083 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202212.083 * * [misc]simplify: iters left: 6 (18 enodes) 1540202212.086 * * [misc]simplify: iters left: 5 (27 enodes) 1540202212.090 * * [misc]simplify: iters left: 4 (46 enodes) 1540202212.101 * * [misc]simplify: iters left: 3 (94 enodes) 1540202212.119 * * [misc]simplify: iters left: 2 (181 enodes) 1540202212.181 * * [misc]simplify: iters left: 1 (323 enodes) 1540202212.309 * [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)))) 1540202212.309 * [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)))))) 1540202212.309 * * * * [misc]progress: [ 996 / 6878 ] simplifiying candidate # 1540202212.310 * [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))))))) 1540202212.310 * * [misc]simplify: iters left: 6 (19 enodes) 1540202212.313 * * [misc]simplify: iters left: 5 (32 enodes) 1540202212.318 * * [misc]simplify: iters left: 4 (66 enodes) 1540202212.334 * * [misc]simplify: iters left: 3 (142 enodes) 1540202212.369 * * [misc]simplify: iters left: 2 (361 enodes) 1540202212.679 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202212.679 * [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)))))))) 1540202212.680 * [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)))))) 1540202212.680 * * [misc]simplify: iters left: 6 (19 enodes) 1540202212.682 * * [misc]simplify: iters left: 5 (28 enodes) 1540202212.690 * * [misc]simplify: iters left: 4 (47 enodes) 1540202212.706 * * [misc]simplify: iters left: 3 (95 enodes) 1540202212.725 * * [misc]simplify: iters left: 2 (182 enodes) 1540202212.772 * * [misc]simplify: iters left: 1 (317 enodes) 1540202212.921 * [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)))))) 1540202212.921 * [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)))))))) 1540202212.921 * * * * [misc]progress: [ 997 / 6878 ] simplifiying candidate # 1540202212.921 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202212.922 * * [misc]simplify: iters left: 6 (18 enodes) 1540202212.928 * * [misc]simplify: iters left: 5 (29 enodes) 1540202212.936 * * [misc]simplify: iters left: 4 (56 enodes) 1540202212.945 * * [misc]simplify: iters left: 3 (116 enodes) 1540202212.981 * * [misc]simplify: iters left: 2 (224 enodes) 1540202213.122 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202213.122 * [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)))))))) 1540202213.123 * [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)))))) 1540202213.123 * * [misc]simplify: iters left: 6 (19 enodes) 1540202213.125 * * [misc]simplify: iters left: 5 (28 enodes) 1540202213.129 * * [misc]simplify: iters left: 4 (47 enodes) 1540202213.138 * * [misc]simplify: iters left: 3 (95 enodes) 1540202213.174 * * [misc]simplify: iters left: 2 (182 enodes) 1540202213.225 * * [misc]simplify: iters left: 1 (317 enodes) 1540202213.349 * [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)))))) 1540202213.349 * [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)))))))) 1540202213.350 * * * * [misc]progress: [ 998 / 6878 ] simplifiying candidate # 1540202213.350 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) 1)) 1540202213.350 * * [misc]simplify: iters left: 6 (13 enodes) 1540202213.354 * * [misc]simplify: iters left: 5 (22 enodes) 1540202213.357 * * [misc]simplify: iters left: 4 (33 enodes) 1540202213.361 * * [misc]simplify: iters left: 3 (37 enodes) 1540202213.364 * * [misc]simplify: iters left: 2 (44 enodes) 1540202213.370 * * [misc]simplify: iters left: 1 (52 enodes) 1540202213.378 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202213.378 * [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))))))) 1540202213.378 * [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))))) 1540202213.379 * * [misc]simplify: iters left: 6 (18 enodes) 1540202213.384 * * [misc]simplify: iters left: 5 (27 enodes) 1540202213.392 * * [misc]simplify: iters left: 4 (46 enodes) 1540202213.403 * * [misc]simplify: iters left: 3 (94 enodes) 1540202213.420 * * [misc]simplify: iters left: 2 (181 enodes) 1540202213.470 * * [misc]simplify: iters left: 1 (323 enodes) 1540202213.605 * [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)))) 1540202213.605 * [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)))))) 1540202213.605 * * * * [misc]progress: [ 999 / 6878 ] simplifiying candidate # 1540202213.605 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202213.605 * * [misc]simplify: iters left: 6 (14 enodes) 1540202213.608 * * [misc]simplify: iters left: 5 (24 enodes) 1540202213.612 * * [misc]simplify: iters left: 4 (51 enodes) 1540202213.620 * * [misc]simplify: iters left: 3 (75 enodes) 1540202213.633 * * [misc]simplify: iters left: 2 (119 enodes) 1540202213.662 * * [misc]simplify: iters left: 1 (163 enodes) 1540202213.721 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540202213.721 * [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))))))) 1540202213.721 * [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))))) 1540202213.721 * * [misc]simplify: iters left: 6 (18 enodes) 1540202213.724 * * [misc]simplify: iters left: 5 (27 enodes) 1540202213.728 * * [misc]simplify: iters left: 4 (45 enodes) 1540202213.736 * * [misc]simplify: iters left: 3 (90 enodes) 1540202213.757 * * [misc]simplify: iters left: 2 (155 enodes) 1540202213.795 * * [misc]simplify: iters left: 1 (239 enodes) 1540202213.853 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202213.853 * [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))))))) 1540202213.854 * * * * [misc]progress: [ 1000 / 6878 ] simplifiying candidate # 1540202213.854 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202213.854 * * [misc]simplify: iters left: 6 (14 enodes) 1540202213.857 * * [misc]simplify: iters left: 5 (24 enodes) 1540202213.861 * * [misc]simplify: iters left: 4 (51 enodes) 1540202213.870 * * [misc]simplify: iters left: 3 (75 enodes) 1540202213.892 * * [misc]simplify: iters left: 2 (119 enodes) 1540202213.914 * * [misc]simplify: iters left: 1 (163 enodes) 1540202213.962 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540202213.962 * [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))))))) 1540202213.962 * [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))))) 1540202213.962 * * [misc]simplify: iters left: 6 (18 enodes) 1540202213.965 * * [misc]simplify: iters left: 5 (27 enodes) 1540202213.969 * * [misc]simplify: iters left: 4 (45 enodes) 1540202213.976 * * [misc]simplify: iters left: 3 (90 enodes) 1540202213.993 * * [misc]simplify: iters left: 2 (155 enodes) 1540202214.036 * * [misc]simplify: iters left: 1 (239 enodes) 1540202214.100 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202214.100 * [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))))))) 1540202214.101 * * * * [misc]progress: [ 1001 / 6878 ] simplifiying candidate # 1540202214.101 * [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))))))) 1540202214.101 * * [misc]simplify: iters left: 6 (18 enodes) 1540202214.104 * * [misc]simplify: iters left: 5 (31 enodes) 1540202214.109 * * [misc]simplify: iters left: 4 (69 enodes) 1540202214.120 * * [misc]simplify: iters left: 3 (130 enodes) 1540202214.154 * * [misc]simplify: iters left: 2 (240 enodes) 1540202214.248 * * [misc]simplify: iters left: 1 (489 enodes) 1540202214.471 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202214.471 * [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)))))))) 1540202214.472 * [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)))))) 1540202214.472 * * [misc]simplify: iters left: 6 (19 enodes) 1540202214.477 * * [misc]simplify: iters left: 5 (28 enodes) 1540202214.486 * * [misc]simplify: iters left: 4 (46 enodes) 1540202214.495 * * [misc]simplify: iters left: 3 (91 enodes) 1540202214.515 * * [misc]simplify: iters left: 2 (156 enodes) 1540202214.547 * * [misc]simplify: iters left: 1 (239 enodes) 1540202214.627 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202214.627 * [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)))))))) 1540202214.627 * * * * [misc]progress: [ 1002 / 6878 ] simplifiying candidate # 1540202214.628 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202214.628 * * [misc]simplify: iters left: 6 (17 enodes) 1540202214.630 * * [misc]simplify: iters left: 5 (28 enodes) 1540202214.635 * * [misc]simplify: iters left: 4 (58 enodes) 1540202214.643 * * [misc]simplify: iters left: 3 (80 enodes) 1540202214.654 * * [misc]simplify: iters left: 2 (115 enodes) 1540202214.682 * * [misc]simplify: iters left: 1 (171 enodes) 1540202214.729 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540202214.729 * [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)))))))) 1540202214.729 * [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)))))) 1540202214.729 * * [misc]simplify: iters left: 6 (19 enodes) 1540202214.733 * * [misc]simplify: iters left: 5 (28 enodes) 1540202214.737 * * [misc]simplify: iters left: 4 (46 enodes) 1540202214.744 * * [misc]simplify: iters left: 3 (91 enodes) 1540202214.764 * * [misc]simplify: iters left: 2 (156 enodes) 1540202214.799 * * [misc]simplify: iters left: 1 (239 enodes) 1540202214.859 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202214.859 * [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)))))))) 1540202214.859 * * * * [misc]progress: [ 1003 / 6878 ] simplifiying candidate # 1540202214.859 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202214.859 * * [misc]simplify: iters left: 6 (11 enodes) 1540202214.861 * * [misc]simplify: iters left: 5 (20 enodes) 1540202214.865 * * [misc]simplify: iters left: 4 (37 enodes) 1540202214.871 * * [misc]simplify: iters left: 3 (44 enodes) 1540202214.875 * * [misc]simplify: iters left: 2 (53 enodes) 1540202214.881 * * [misc]simplify: iters left: 1 (63 enodes) 1540202214.889 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202214.889 * [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))))))) 1540202214.890 * [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))))) 1540202214.890 * * [misc]simplify: iters left: 6 (18 enodes) 1540202214.896 * * [misc]simplify: iters left: 5 (27 enodes) 1540202214.903 * * [misc]simplify: iters left: 4 (45 enodes) 1540202214.912 * * [misc]simplify: iters left: 3 (90 enodes) 1540202214.928 * * [misc]simplify: iters left: 2 (155 enodes) 1540202214.973 * * [misc]simplify: iters left: 1 (239 enodes) 1540202215.043 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540202215.043 * [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))))))) 1540202215.043 * * * * [misc]progress: [ 1004 / 6878 ] simplifiying candidate # 1540202215.043 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (pow 2 1/2))) 1540202215.043 * * [misc]simplify: iters left: 6 (14 enodes) 1540202215.046 * * [misc]simplify: iters left: 5 (24 enodes) 1540202215.051 * * [misc]simplify: iters left: 4 (44 enodes) 1540202215.064 * * [misc]simplify: iters left: 3 (75 enodes) 1540202215.087 * * [misc]simplify: iters left: 2 (117 enodes) 1540202215.124 * * [misc]simplify: iters left: 1 (180 enodes) 1540202215.200 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202215.200 * [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))))))) 1540202215.201 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202215.201 * * [misc]simplify: iters left: 6 (18 enodes) 1540202215.206 * * [misc]simplify: iters left: 5 (27 enodes) 1540202215.214 * * [misc]simplify: iters left: 4 (46 enodes) 1540202215.223 * * [misc]simplify: iters left: 3 (94 enodes) 1540202215.240 * * [misc]simplify: iters left: 2 (181 enodes) 1540202215.286 * * [misc]simplify: iters left: 1 (323 enodes) 1540202215.398 * [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)))) 1540202215.398 * [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)))))) 1540202215.398 * * * * [misc]progress: [ 1005 / 6878 ] simplifiying candidate # 1540202215.399 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (pow 2 1/2))) 1540202215.399 * * [misc]simplify: iters left: 6 (14 enodes) 1540202215.402 * * [misc]simplify: iters left: 5 (24 enodes) 1540202215.408 * * [misc]simplify: iters left: 4 (44 enodes) 1540202215.422 * * [misc]simplify: iters left: 3 (75 enodes) 1540202215.444 * * [misc]simplify: iters left: 2 (117 enodes) 1540202215.495 * * [misc]simplify: iters left: 1 (180 enodes) 1540202215.566 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202215.566 * [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))))))) 1540202215.566 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202215.567 * * [misc]simplify: iters left: 6 (18 enodes) 1540202215.572 * * [misc]simplify: iters left: 5 (27 enodes) 1540202215.581 * * [misc]simplify: iters left: 4 (46 enodes) 1540202215.595 * * [misc]simplify: iters left: 3 (94 enodes) 1540202215.623 * * [misc]simplify: iters left: 2 (181 enodes) 1540202215.668 * * [misc]simplify: iters left: 1 (323 enodes) 1540202215.782 * [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)))) 1540202215.782 * [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)))))) 1540202215.782 * * * * [misc]progress: [ 1006 / 6878 ] simplifiying candidate # 1540202215.783 * [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))))))) 1540202215.783 * * [misc]simplify: iters left: 6 (18 enodes) 1540202215.785 * * [misc]simplify: iters left: 5 (31 enodes) 1540202215.793 * * [misc]simplify: iters left: 4 (60 enodes) 1540202215.812 * * [misc]simplify: iters left: 3 (113 enodes) 1540202215.840 * * [misc]simplify: iters left: 2 (281 enodes) 1540202216.039 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202216.039 * [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)))))))) 1540202216.039 * [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)))))) 1540202216.039 * * [misc]simplify: iters left: 6 (19 enodes) 1540202216.042 * * [misc]simplify: iters left: 5 (28 enodes) 1540202216.046 * * [misc]simplify: iters left: 4 (47 enodes) 1540202216.053 * * [misc]simplify: iters left: 3 (95 enodes) 1540202216.070 * * [misc]simplify: iters left: 2 (182 enodes) 1540202216.148 * * [misc]simplify: iters left: 1 (317 enodes) 1540202216.274 * [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)))))) 1540202216.274 * [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)))))))) 1540202216.274 * * * * [misc]progress: [ 1007 / 6878 ] simplifiying candidate # 1540202216.274 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202216.274 * * [misc]simplify: iters left: 6 (17 enodes) 1540202216.280 * * [misc]simplify: iters left: 5 (28 enodes) 1540202216.287 * * [misc]simplify: iters left: 4 (51 enodes) 1540202216.294 * * [misc]simplify: iters left: 3 (80 enodes) 1540202216.309 * * [misc]simplify: iters left: 2 (147 enodes) 1540202216.367 * * [misc]simplify: iters left: 1 (283 enodes) 1540202216.492 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) 1540202216.492 * [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)))))))) 1540202216.492 * [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)))))) 1540202216.492 * * [misc]simplify: iters left: 6 (19 enodes) 1540202216.498 * * [misc]simplify: iters left: 5 (28 enodes) 1540202216.503 * * [misc]simplify: iters left: 4 (47 enodes) 1540202216.510 * * [misc]simplify: iters left: 3 (95 enodes) 1540202216.528 * * [misc]simplify: iters left: 2 (182 enodes) 1540202216.596 * * [misc]simplify: iters left: 1 (317 enodes) 1540202216.717 * [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)))))) 1540202216.717 * [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)))))))) 1540202216.717 * * * * [misc]progress: [ 1008 / 6878 ] simplifiying candidate # 1540202216.717 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 1)) 1540202216.718 * * [misc]simplify: iters left: 6 (12 enodes) 1540202216.719 * * [misc]simplify: iters left: 5 (19 enodes) 1540202216.723 * * [misc]simplify: iters left: 4 (30 enodes) 1540202216.727 * * [misc]simplify: iters left: 3 (34 enodes) 1540202216.730 * * [misc]simplify: iters left: 2 (41 enodes) 1540202216.735 * * [misc]simplify: iters left: 1 (51 enodes) 1540202216.743 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202216.743 * [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))))))) 1540202216.743 * [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))))) 1540202216.744 * * [misc]simplify: iters left: 6 (18 enodes) 1540202216.749 * * [misc]simplify: iters left: 5 (27 enodes) 1540202216.757 * * [misc]simplify: iters left: 4 (46 enodes) 1540202216.765 * * [misc]simplify: iters left: 3 (94 enodes) 1540202216.783 * * [misc]simplify: iters left: 2 (181 enodes) 1540202216.835 * * [misc]simplify: iters left: 1 (323 enodes) 1540202216.970 * [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)))) 1540202216.970 * [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)))))) 1540202216.971 * * * * [misc]progress: [ 1009 / 6878 ] simplifiying candidate # 1540202216.971 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1) 1540202216.971 * * [misc]simplify: iters left: 6 (11 enodes) 1540202216.972 * * [misc]simplify: iters left: 5 (18 enodes) 1540202216.976 * * [misc]simplify: iters left: 4 (34 enodes) 1540202216.987 * * [misc]simplify: iters left: 3 (41 enodes) 1540202216.996 * * [misc]simplify: iters left: 2 (54 enodes) 1540202217.007 * * [misc]simplify: iters left: 1 (66 enodes) 1540202217.017 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202217.017 * [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))))))) 1540202217.017 * [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))))) 1540202217.017 * * [misc]simplify: iters left: 6 (18 enodes) 1540202217.021 * * [misc]simplify: iters left: 5 (27 enodes) 1540202217.025 * * [misc]simplify: iters left: 4 (46 enodes) 1540202217.033 * * [misc]simplify: iters left: 3 (94 enodes) 1540202217.050 * * [misc]simplify: iters left: 2 (181 enodes) 1540202217.098 * * [misc]simplify: iters left: 1 (323 enodes) 1540202217.225 * [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)))) 1540202217.225 * [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)))))) 1540202217.225 * * * * [misc]progress: [ 1010 / 6878 ] simplifiying candidate # 1540202217.226 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (sqrt (sqrt k))) 1540202217.226 * * [misc]simplify: iters left: 6 (11 enodes) 1540202217.227 * * [misc]simplify: iters left: 5 (18 enodes) 1540202217.231 * * [misc]simplify: iters left: 4 (32 enodes) 1540202217.236 * * [misc]simplify: iters left: 3 (53 enodes) 1540202217.245 * * [misc]simplify: iters left: 2 (115 enodes) 1540202217.281 * * [misc]simplify: iters left: 1 (199 enodes) 1540202217.311 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202217.311 * [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))))))) 1540202217.312 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202217.312 * * [misc]simplify: iters left: 6 (19 enodes) 1540202217.314 * * [misc]simplify: iters left: 5 (30 enodes) 1540202217.318 * * [misc]simplify: iters left: 4 (47 enodes) 1540202217.326 * * [misc]simplify: iters left: 3 (99 enodes) 1540202217.361 * * [misc]simplify: iters left: 2 (207 enodes) 1540202217.463 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202217.463 * [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))))))) 1540202217.463 * * * * [misc]progress: [ 1011 / 6878 ] simplifiying candidate # 1540202217.463 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202217.464 * * [misc]simplify: iters left: 6 (14 enodes) 1540202217.469 * * [misc]simplify: iters left: 5 (24 enodes) 1540202217.477 * * [misc]simplify: iters left: 4 (46 enodes) 1540202217.492 * * [misc]simplify: iters left: 3 (100 enodes) 1540202217.519 * * [misc]simplify: iters left: 2 (216 enodes) 1540202217.634 * * [misc]simplify: iters left: 1 (375 enodes) 1540202217.759 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202217.759 * [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))))) 1540202217.759 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540202217.759 * * [misc]simplify: iters left: 6 (17 enodes) 1540202217.762 * * [misc]simplify: iters left: 5 (24 enodes) 1540202217.765 * * [misc]simplify: iters left: 4 (35 enodes) 1540202217.770 * * [misc]simplify: iters left: 3 (50 enodes) 1540202217.776 * * [misc]simplify: iters left: 2 (67 enodes) 1540202217.791 * * [misc]simplify: iters left: 1 (84 enodes) 1540202217.814 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540202217.814 * [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))))))) 1540202217.814 * * * * [misc]progress: [ 1012 / 6878 ] simplifiying candidate # 1540202217.814 * [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))))))) 1540202217.815 * * [misc]simplify: iters left: 6 (20 enodes) 1540202217.818 * * [misc]simplify: iters left: 5 (32 enodes) 1540202217.822 * * [misc]simplify: iters left: 4 (52 enodes) 1540202217.831 * * [misc]simplify: iters left: 3 (90 enodes) 1540202217.846 * * [misc]simplify: iters left: 2 (177 enodes) 1540202217.888 * * [misc]simplify: iters left: 1 (324 enodes) 1540202217.947 * [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))) 1540202217.948 * [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)))))))) 1540202217.948 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202217.948 * * [misc]simplify: iters left: 6 (18 enodes) 1540202217.952 * * [misc]simplify: iters left: 5 (25 enodes) 1540202217.955 * * [misc]simplify: iters left: 4 (36 enodes) 1540202217.960 * * [misc]simplify: iters left: 3 (51 enodes) 1540202217.966 * * [misc]simplify: iters left: 2 (68 enodes) 1540202217.975 * * [misc]simplify: iters left: 1 (85 enodes) 1540202217.987 * [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)))))) 1540202217.987 * [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)))))))) 1540202217.987 * * * * [misc]progress: [ 1013 / 6878 ] simplifiying candidate # 1540202217.987 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202217.987 * * [misc]simplify: iters left: 6 (19 enodes) 1540202217.990 * * [misc]simplify: iters left: 5 (29 enodes) 1540202217.994 * * [misc]simplify: iters left: 4 (41 enodes) 1540202218.000 * * [misc]simplify: iters left: 3 (65 enodes) 1540202218.010 * * [misc]simplify: iters left: 2 (98 enodes) 1540202218.023 * * [misc]simplify: iters left: 1 (115 enodes) 1540202218.033 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202218.033 * [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)))))))) 1540202218.034 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202218.034 * * [misc]simplify: iters left: 6 (18 enodes) 1540202218.036 * * [misc]simplify: iters left: 5 (25 enodes) 1540202218.039 * * [misc]simplify: iters left: 4 (36 enodes) 1540202218.044 * * [misc]simplify: iters left: 3 (51 enodes) 1540202218.051 * * [misc]simplify: iters left: 2 (68 enodes) 1540202218.069 * * [misc]simplify: iters left: 1 (85 enodes) 1540202218.082 * [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)))))) 1540202218.082 * [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)))))))) 1540202218.082 * * * * [misc]progress: [ 1014 / 6878 ] simplifiying candidate # 1540202218.082 * [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))) 1540202218.082 * * [misc]simplify: iters left: 6 (18 enodes) 1540202218.086 * * [misc]simplify: iters left: 5 (31 enodes) 1540202218.090 * * [misc]simplify: iters left: 4 (58 enodes) 1540202218.107 * * [misc]simplify: iters left: 3 (155 enodes) 1540202218.171 * * [misc]simplify: iters left: 2 (443 enodes) 1540202218.518 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202218.519 * [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))))))) 1540202218.519 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202218.519 * * [misc]simplify: iters left: 6 (16 enodes) 1540202218.523 * * [misc]simplify: iters left: 5 (24 enodes) 1540202218.531 * * [misc]simplify: iters left: 4 (42 enodes) 1540202218.542 * * [misc]simplify: iters left: 3 (90 enodes) 1540202218.559 * * [misc]simplify: iters left: 2 (177 enodes) 1540202218.597 * * [misc]simplify: iters left: 1 (312 enodes) 1540202218.735 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540202218.735 * [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)))))) 1540202218.736 * * * * [misc]progress: [ 1015 / 6878 ] simplifiying candidate # 1540202218.736 * [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))) 1540202218.736 * * [misc]simplify: iters left: 6 (18 enodes) 1540202218.743 * * [misc]simplify: iters left: 5 (31 enodes) 1540202218.748 * * [misc]simplify: iters left: 4 (58 enodes) 1540202218.759 * * [misc]simplify: iters left: 3 (155 enodes) 1540202218.809 * * [misc]simplify: iters left: 2 (443 enodes) 1540202219.240 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202219.240 * [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))))))) 1540202219.241 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202219.241 * * [misc]simplify: iters left: 6 (16 enodes) 1540202219.246 * * [misc]simplify: iters left: 5 (24 enodes) 1540202219.254 * * [misc]simplify: iters left: 4 (42 enodes) 1540202219.267 * * [misc]simplify: iters left: 3 (90 enodes) 1540202219.288 * * [misc]simplify: iters left: 2 (177 enodes) 1540202219.331 * * [misc]simplify: iters left: 1 (312 enodes) 1540202219.443 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540202219.443 * [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)))))) 1540202219.443 * * * * [misc]progress: [ 1016 / 6878 ] simplifiying candidate # 1540202219.443 * [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))))))) 1540202219.443 * * [misc]simplify: iters left: 6 (22 enodes) 1540202219.447 * * [misc]simplify: iters left: 5 (40 enodes) 1540202219.453 * * [misc]simplify: iters left: 4 (90 enodes) 1540202219.478 * * [misc]simplify: iters left: 3 (254 enodes) 1540202219.596 * [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)))))) 1540202219.596 * [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)))))))) 1540202219.597 * [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)))))) 1540202219.597 * * [misc]simplify: iters left: 6 (19 enodes) 1540202219.600 * * [misc]simplify: iters left: 5 (28 enodes) 1540202219.604 * * [misc]simplify: iters left: 4 (47 enodes) 1540202219.611 * * [misc]simplify: iters left: 3 (95 enodes) 1540202219.629 * * [misc]simplify: iters left: 2 (182 enodes) 1540202219.675 * * [misc]simplify: iters left: 1 (321 enodes) 1540202219.841 * [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)))))) 1540202219.841 * [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)))))))) 1540202219.841 * * * * [misc]progress: [ 1017 / 6878 ] simplifiying candidate # 1540202219.842 * [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)))))) 1540202219.842 * * [misc]simplify: iters left: 6 (21 enodes) 1540202219.849 * * [misc]simplify: iters left: 5 (35 enodes) 1540202219.859 * * [misc]simplify: iters left: 4 (65 enodes) 1540202219.882 * * [misc]simplify: iters left: 3 (162 enodes) 1540202219.931 * * [misc]simplify: iters left: 2 (458 enodes) 1540202220.209 * [exit]simplify: Simplified to (* (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540202220.209 * [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)))))))) 1540202220.209 * [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)))))) 1540202220.209 * * [misc]simplify: iters left: 6 (19 enodes) 1540202220.212 * * [misc]simplify: iters left: 5 (28 enodes) 1540202220.216 * * [misc]simplify: iters left: 4 (47 enodes) 1540202220.223 * * [misc]simplify: iters left: 3 (95 enodes) 1540202220.241 * * [misc]simplify: iters left: 2 (182 enodes) 1540202220.291 * * [misc]simplify: iters left: 1 (321 enodes) 1540202220.415 * [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)))))) 1540202220.415 * [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)))))))) 1540202220.415 * * * * [misc]progress: [ 1018 / 6878 ] simplifiying candidate # 1540202220.415 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202220.415 * * [misc]simplify: iters left: 6 (16 enodes) 1540202220.421 * * [misc]simplify: iters left: 5 (28 enodes) 1540202220.431 * * [misc]simplify: iters left: 4 (56 enodes) 1540202220.446 * * [misc]simplify: iters left: 3 (110 enodes) 1540202220.485 * * [misc]simplify: iters left: 2 (336 enodes) 1540202220.709 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202220.709 * [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))))))) 1540202220.709 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202220.709 * * [misc]simplify: iters left: 6 (18 enodes) 1540202220.712 * * [misc]simplify: iters left: 5 (27 enodes) 1540202220.715 * * [misc]simplify: iters left: 4 (46 enodes) 1540202220.722 * * [misc]simplify: iters left: 3 (94 enodes) 1540202220.739 * * [misc]simplify: iters left: 2 (181 enodes) 1540202220.816 * * [misc]simplify: iters left: 1 (325 enodes) 1540202220.938 * [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))))) 1540202220.938 * [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))))))) 1540202220.939 * * * * [misc]progress: [ 1019 / 6878 ] simplifiying candidate # 1540202220.939 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202220.939 * * [misc]simplify: iters left: 6 (18 enodes) 1540202220.942 * * [misc]simplify: iters left: 5 (30 enodes) 1540202220.947 * * [misc]simplify: iters left: 4 (47 enodes) 1540202220.954 * * [misc]simplify: iters left: 3 (93 enodes) 1540202220.973 * * [misc]simplify: iters left: 2 (205 enodes) 1540202221.029 * * [misc]simplify: iters left: 1 (345 enodes) 1540202221.131 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540202221.131 * [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))))))) 1540202221.131 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202221.131 * * [misc]simplify: iters left: 6 (17 enodes) 1540202221.133 * * [misc]simplify: iters left: 5 (25 enodes) 1540202221.137 * * [misc]simplify: iters left: 4 (43 enodes) 1540202221.144 * * [misc]simplify: iters left: 3 (91 enodes) 1540202221.161 * * [misc]simplify: iters left: 2 (178 enodes) 1540202221.208 * * [misc]simplify: iters left: 1 (316 enodes) 1540202221.338 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540202221.338 * [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))))) 1540202221.338 * * * * [misc]progress: [ 1020 / 6878 ] simplifiying candidate # 1540202221.338 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202221.339 * * [misc]simplify: iters left: 6 (18 enodes) 1540202221.345 * * [misc]simplify: iters left: 5 (30 enodes) 1540202221.350 * * [misc]simplify: iters left: 4 (47 enodes) 1540202221.357 * * [misc]simplify: iters left: 3 (93 enodes) 1540202221.377 * * [misc]simplify: iters left: 2 (205 enodes) 1540202221.438 * * [misc]simplify: iters left: 1 (345 enodes) 1540202221.541 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540202221.541 * [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))))))) 1540202221.541 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202221.541 * * [misc]simplify: iters left: 6 (17 enodes) 1540202221.543 * * [misc]simplify: iters left: 5 (25 enodes) 1540202221.547 * * [misc]simplify: iters left: 4 (43 enodes) 1540202221.555 * * [misc]simplify: iters left: 3 (91 enodes) 1540202221.572 * * [misc]simplify: iters left: 2 (178 enodes) 1540202221.620 * * [misc]simplify: iters left: 1 (316 enodes) 1540202221.762 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540202221.762 * [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))))) 1540202221.762 * * * * [misc]progress: [ 1021 / 6878 ] simplifiying candidate # 1540202221.762 * [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))))))) 1540202221.762 * * [misc]simplify: iters left: 6 (22 enodes) 1540202221.767 * * [misc]simplify: iters left: 5 (37 enodes) 1540202221.772 * * [misc]simplify: iters left: 4 (63 enodes) 1540202221.784 * * [misc]simplify: iters left: 3 (136 enodes) 1540202221.815 * * [misc]simplify: iters left: 2 (333 enodes) 1540202221.978 * [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))) 1540202221.978 * [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)))))))) 1540202221.979 * [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)))))) 1540202221.979 * * [misc]simplify: iters left: 6 (20 enodes) 1540202221.982 * * [misc]simplify: iters left: 5 (29 enodes) 1540202221.987 * * [misc]simplify: iters left: 4 (48 enodes) 1540202221.994 * * [misc]simplify: iters left: 3 (96 enodes) 1540202222.014 * * [misc]simplify: iters left: 2 (183 enodes) 1540202222.071 * * [misc]simplify: iters left: 1 (326 enodes) 1540202222.195 * [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)))) 1540202222.195 * [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)))))) 1540202222.195 * * * * [misc]progress: [ 1022 / 6878 ] simplifiying candidate # 1540202222.195 * [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)))))) 1540202222.195 * * [misc]simplify: iters left: 6 (21 enodes) 1540202222.199 * * [misc]simplify: iters left: 5 (34 enodes) 1540202222.203 * * [misc]simplify: iters left: 4 (54 enodes) 1540202222.212 * * [misc]simplify: iters left: 3 (100 enodes) 1540202222.245 * * [misc]simplify: iters left: 2 (209 enodes) 1540202222.305 * * [misc]simplify: iters left: 1 (391 enodes) 1540202222.469 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540202222.469 * [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)))))))) 1540202222.469 * [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)))))) 1540202222.469 * * [misc]simplify: iters left: 6 (20 enodes) 1540202222.475 * * [misc]simplify: iters left: 5 (29 enodes) 1540202222.482 * * [misc]simplify: iters left: 4 (48 enodes) 1540202222.489 * * [misc]simplify: iters left: 3 (96 enodes) 1540202222.508 * * [misc]simplify: iters left: 2 (183 enodes) 1540202222.547 * * [misc]simplify: iters left: 1 (326 enodes) 1540202222.674 * [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)))) 1540202222.674 * [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)))))) 1540202222.675 * * * * [misc]progress: [ 1023 / 6878 ] simplifiying candidate # 1540202222.675 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202222.675 * * [misc]simplify: iters left: 6 (16 enodes) 1540202222.678 * * [misc]simplify: iters left: 5 (26 enodes) 1540202222.682 * * [misc]simplify: iters left: 4 (40 enodes) 1540202222.688 * * [misc]simplify: iters left: 3 (73 enodes) 1540202222.713 * * [misc]simplify: iters left: 2 (153 enodes) 1540202222.756 * * [misc]simplify: iters left: 1 (235 enodes) 1540202222.824 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540202222.824 * [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))))))) 1540202222.824 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202222.825 * * [misc]simplify: iters left: 6 (19 enodes) 1540202222.827 * * [misc]simplify: iters left: 5 (28 enodes) 1540202222.831 * * [misc]simplify: iters left: 4 (47 enodes) 1540202222.839 * * [misc]simplify: iters left: 3 (95 enodes) 1540202222.876 * * [misc]simplify: iters left: 2 (182 enodes) 1540202222.915 * * [misc]simplify: iters left: 1 (320 enodes) 1540202223.032 * [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))))) 1540202223.032 * [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))))))) 1540202223.032 * * * * [misc]progress: [ 1024 / 6878 ] simplifiying candidate # 1540202223.032 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202223.033 * * [misc]simplify: iters left: 6 (17 enodes) 1540202223.039 * * [misc]simplify: iters left: 5 (28 enodes) 1540202223.046 * * [misc]simplify: iters left: 4 (45 enodes) 1540202223.060 * * [misc]simplify: iters left: 3 (91 enodes) 1540202223.092 * * [misc]simplify: iters left: 2 (206 enodes) 1540202223.186 * * [misc]simplify: iters left: 1 (424 enodes) 1540202223.382 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202223.382 * [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))))))) 1540202223.383 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202223.383 * * [misc]simplify: iters left: 6 (16 enodes) 1540202223.385 * * [misc]simplify: iters left: 5 (24 enodes) 1540202223.388 * * [misc]simplify: iters left: 4 (42 enodes) 1540202223.395 * * [misc]simplify: iters left: 3 (90 enodes) 1540202223.414 * * [misc]simplify: iters left: 2 (177 enodes) 1540202223.450 * * [misc]simplify: iters left: 1 (312 enodes) 1540202223.548 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202223.548 * [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)))))) 1540202223.548 * * * * [misc]progress: [ 1025 / 6878 ] simplifiying candidate # 1540202223.549 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202223.549 * * [misc]simplify: iters left: 6 (17 enodes) 1540202223.552 * * [misc]simplify: iters left: 5 (28 enodes) 1540202223.556 * * [misc]simplify: iters left: 4 (45 enodes) 1540202223.564 * * [misc]simplify: iters left: 3 (91 enodes) 1540202223.583 * * [misc]simplify: iters left: 2 (206 enodes) 1540202223.642 * * [misc]simplify: iters left: 1 (424 enodes) 1540202223.904 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202223.904 * [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))))))) 1540202223.904 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202223.905 * * [misc]simplify: iters left: 6 (16 enodes) 1540202223.908 * * [misc]simplify: iters left: 5 (24 enodes) 1540202223.914 * * [misc]simplify: iters left: 4 (42 enodes) 1540202223.926 * * [misc]simplify: iters left: 3 (90 enodes) 1540202223.957 * * [misc]simplify: iters left: 2 (177 enodes) 1540202224.027 * * [misc]simplify: iters left: 1 (312 enodes) 1540202224.189 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202224.189 * [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)))))) 1540202224.189 * * * * [misc]progress: [ 1026 / 6878 ] simplifiying candidate # 1540202224.190 * [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))))))) 1540202224.190 * * [misc]simplify: iters left: 6 (21 enodes) 1540202224.193 * * [misc]simplify: iters left: 5 (35 enodes) 1540202224.198 * * [misc]simplify: iters left: 4 (61 enodes) 1540202224.208 * * [misc]simplify: iters left: 3 (134 enodes) 1540202224.243 * * [misc]simplify: iters left: 2 (338 enodes) 1540202224.414 * [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))))) 1540202224.414 * [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)))))))) 1540202224.414 * [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)))))) 1540202224.414 * * [misc]simplify: iters left: 6 (19 enodes) 1540202224.421 * * [misc]simplify: iters left: 5 (28 enodes) 1540202224.429 * * [misc]simplify: iters left: 4 (47 enodes) 1540202224.443 * * [misc]simplify: iters left: 3 (95 enodes) 1540202224.478 * * [misc]simplify: iters left: 2 (182 enodes) 1540202224.533 * * [misc]simplify: iters left: 1 (321 enodes) 1540202224.691 * [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)))))) 1540202224.691 * [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)))))))) 1540202224.691 * * * * [misc]progress: [ 1027 / 6878 ] simplifiying candidate # 1540202224.691 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202224.691 * * [misc]simplify: iters left: 6 (20 enodes) 1540202224.696 * * [misc]simplify: iters left: 5 (32 enodes) 1540202224.702 * * [misc]simplify: iters left: 4 (52 enodes) 1540202224.713 * * [misc]simplify: iters left: 3 (98 enodes) 1540202224.742 * * [misc]simplify: iters left: 2 (212 enodes) 1540202224.832 * * [misc]simplify: iters left: 1 (480 enodes) 1540202225.104 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540202225.105 * [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)))))))) 1540202225.105 * [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)))))) 1540202225.105 * * [misc]simplify: iters left: 6 (19 enodes) 1540202225.108 * * [misc]simplify: iters left: 5 (28 enodes) 1540202225.111 * * [misc]simplify: iters left: 4 (47 enodes) 1540202225.119 * * [misc]simplify: iters left: 3 (95 enodes) 1540202225.136 * * [misc]simplify: iters left: 2 (182 enodes) 1540202225.176 * * [misc]simplify: iters left: 1 (321 enodes) 1540202225.274 * [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)))))) 1540202225.274 * [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)))))))) 1540202225.275 * * * * [misc]progress: [ 1028 / 6878 ] simplifiying candidate # 1540202225.275 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202225.275 * * [misc]simplify: iters left: 6 (15 enodes) 1540202225.281 * * [misc]simplify: iters left: 5 (25 enodes) 1540202225.286 * * [misc]simplify: iters left: 4 (45 enodes) 1540202225.296 * * [misc]simplify: iters left: 3 (73 enodes) 1540202225.317 * * [misc]simplify: iters left: 2 (146 enodes) 1540202225.373 * * [misc]simplify: iters left: 1 (216 enodes) 1540202225.456 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202225.457 * [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))))))) 1540202225.457 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202225.457 * * [misc]simplify: iters left: 6 (18 enodes) 1540202225.461 * * [misc]simplify: iters left: 5 (27 enodes) 1540202225.468 * * [misc]simplify: iters left: 4 (46 enodes) 1540202225.480 * * [misc]simplify: iters left: 3 (94 enodes) 1540202225.509 * * [misc]simplify: iters left: 2 (181 enodes) 1540202225.566 * * [misc]simplify: iters left: 1 (325 enodes) 1540202225.697 * [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))))) 1540202225.698 * [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))))))) 1540202225.698 * * * * [misc]progress: [ 1029 / 6878 ] simplifiying candidate # 1540202225.698 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202225.698 * * [misc]simplify: iters left: 6 (13 enodes) 1540202225.701 * * [misc]simplify: iters left: 5 (24 enodes) 1540202225.705 * * [misc]simplify: iters left: 4 (43 enodes) 1540202225.715 * * [misc]simplify: iters left: 3 (99 enodes) 1540202225.733 * * [misc]simplify: iters left: 2 (142 enodes) 1540202225.752 * * [misc]simplify: iters left: 1 (166 enodes) 1540202225.770 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt n)) (sqrt PI)) 1540202225.770 * [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))))))) 1540202225.770 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202225.770 * * [misc]simplify: iters left: 6 (15 enodes) 1540202225.772 * * [misc]simplify: iters left: 5 (23 enodes) 1540202225.777 * * [misc]simplify: iters left: 4 (40 enodes) 1540202225.783 * * [misc]simplify: iters left: 3 (85 enodes) 1540202225.799 * * [misc]simplify: iters left: 2 (150 enodes) 1540202225.830 * * [misc]simplify: iters left: 1 (234 enodes) 1540202225.883 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202225.883 * [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))))) 1540202225.883 * * * * [misc]progress: [ 1030 / 6878 ] simplifiying candidate # 1540202225.883 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202225.883 * * [misc]simplify: iters left: 6 (13 enodes) 1540202225.886 * * [misc]simplify: iters left: 5 (24 enodes) 1540202225.890 * * [misc]simplify: iters left: 4 (43 enodes) 1540202225.900 * * [misc]simplify: iters left: 3 (99 enodes) 1540202225.918 * * [misc]simplify: iters left: 2 (142 enodes) 1540202225.937 * * [misc]simplify: iters left: 1 (166 enodes) 1540202225.956 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt n)) (sqrt PI)) 1540202225.956 * [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))))))) 1540202225.956 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202225.956 * * [misc]simplify: iters left: 6 (15 enodes) 1540202225.959 * * [misc]simplify: iters left: 5 (23 enodes) 1540202225.962 * * [misc]simplify: iters left: 4 (40 enodes) 1540202225.970 * * [misc]simplify: iters left: 3 (85 enodes) 1540202225.985 * * [misc]simplify: iters left: 2 (150 enodes) 1540202226.015 * * [misc]simplify: iters left: 1 (234 enodes) 1540202226.069 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202226.069 * [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))))) 1540202226.069 * * * * [misc]progress: [ 1031 / 6878 ] simplifiying candidate # 1540202226.069 * [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))))))) 1540202226.069 * * [misc]simplify: iters left: 6 (18 enodes) 1540202226.073 * * [misc]simplify: iters left: 5 (32 enodes) 1540202226.077 * * [misc]simplify: iters left: 4 (61 enodes) 1540202226.090 * * [misc]simplify: iters left: 3 (155 enodes) 1540202226.127 * * [misc]simplify: iters left: 2 (342 enodes) 1540202226.234 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202226.234 * [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)))))))) 1540202226.234 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202226.234 * * [misc]simplify: iters left: 6 (18 enodes) 1540202226.237 * * [misc]simplify: iters left: 5 (27 enodes) 1540202226.241 * * [misc]simplify: iters left: 4 (45 enodes) 1540202226.248 * * [misc]simplify: iters left: 3 (90 enodes) 1540202226.263 * * [misc]simplify: iters left: 2 (155 enodes) 1540202226.296 * * [misc]simplify: iters left: 1 (235 enodes) 1540202226.348 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202226.348 * [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))))) 1540202226.348 * * * * [misc]progress: [ 1032 / 6878 ] simplifiying candidate # 1540202226.348 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202226.348 * * [misc]simplify: iters left: 6 (17 enodes) 1540202226.351 * * [misc]simplify: iters left: 5 (29 enodes) 1540202226.355 * * [misc]simplify: iters left: 4 (51 enodes) 1540202226.364 * * [misc]simplify: iters left: 3 (111 enodes) 1540202226.383 * * [misc]simplify: iters left: 2 (206 enodes) 1540202226.425 * * [misc]simplify: iters left: 1 (294 enodes) 1540202226.472 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202226.472 * [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)))))))) 1540202226.472 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202226.472 * * [misc]simplify: iters left: 6 (18 enodes) 1540202226.474 * * [misc]simplify: iters left: 5 (27 enodes) 1540202226.478 * * [misc]simplify: iters left: 4 (45 enodes) 1540202226.485 * * [misc]simplify: iters left: 3 (90 enodes) 1540202226.501 * * [misc]simplify: iters left: 2 (155 enodes) 1540202226.535 * * [misc]simplify: iters left: 1 (235 enodes) 1540202226.589 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202226.589 * [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))))) 1540202226.589 * * * * [misc]progress: [ 1033 / 6878 ] simplifiying candidate # 1540202226.589 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202226.589 * * [misc]simplify: iters left: 6 (11 enodes) 1540202226.592 * * [misc]simplify: iters left: 5 (21 enodes) 1540202226.595 * * [misc]simplify: iters left: 4 (28 enodes) 1540202226.598 * * [misc]simplify: iters left: 3 (33 enodes) 1540202226.601 * * [misc]simplify: iters left: 2 (41 enodes) 1540202226.607 * * [misc]simplify: iters left: 1 (57 enodes) 1540202226.616 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540202226.616 * [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))))))) 1540202226.616 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202226.616 * * [misc]simplify: iters left: 6 (17 enodes) 1540202226.619 * * [misc]simplify: iters left: 5 (26 enodes) 1540202226.623 * * [misc]simplify: iters left: 4 (44 enodes) 1540202226.630 * * [misc]simplify: iters left: 3 (89 enodes) 1540202226.645 * * [misc]simplify: iters left: 2 (154 enodes) 1540202226.678 * * [misc]simplify: iters left: 1 (234 enodes) 1540202226.730 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202226.730 * [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)))))) 1540202226.730 * * * * [misc]progress: [ 1034 / 6878 ] simplifiying candidate # 1540202226.730 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202226.730 * * [misc]simplify: iters left: 6 (17 enodes) 1540202226.734 * * [misc]simplify: iters left: 5 (28 enodes) 1540202226.738 * * [misc]simplify: iters left: 4 (45 enodes) 1540202226.745 * * [misc]simplify: iters left: 3 (91 enodes) 1540202226.763 * * [misc]simplify: iters left: 2 (206 enodes) 1540202226.823 * * [misc]simplify: iters left: 1 (424 enodes) 1540202227.022 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202227.022 * [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))))))) 1540202227.022 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202227.022 * * [misc]simplify: iters left: 6 (16 enodes) 1540202227.024 * * [misc]simplify: iters left: 5 (24 enodes) 1540202227.028 * * [misc]simplify: iters left: 4 (42 enodes) 1540202227.034 * * [misc]simplify: iters left: 3 (90 enodes) 1540202227.051 * * [misc]simplify: iters left: 2 (177 enodes) 1540202227.091 * * [misc]simplify: iters left: 1 (312 enodes) 1540202227.190 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202227.190 * [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)))))) 1540202227.190 * * * * [misc]progress: [ 1035 / 6878 ] simplifiying candidate # 1540202227.190 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202227.190 * * [misc]simplify: iters left: 6 (17 enodes) 1540202227.194 * * [misc]simplify: iters left: 5 (28 enodes) 1540202227.198 * * [misc]simplify: iters left: 4 (45 enodes) 1540202227.206 * * [misc]simplify: iters left: 3 (91 enodes) 1540202227.223 * * [misc]simplify: iters left: 2 (206 enodes) 1540202227.284 * * [misc]simplify: iters left: 1 (424 enodes) 1540202227.482 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202227.483 * [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))))))) 1540202227.483 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202227.483 * * [misc]simplify: iters left: 6 (16 enodes) 1540202227.485 * * [misc]simplify: iters left: 5 (24 enodes) 1540202227.489 * * [misc]simplify: iters left: 4 (42 enodes) 1540202227.495 * * [misc]simplify: iters left: 3 (90 enodes) 1540202227.512 * * [misc]simplify: iters left: 2 (177 enodes) 1540202227.551 * * [misc]simplify: iters left: 1 (312 enodes) 1540202227.651 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202227.651 * [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)))))) 1540202227.651 * * * * [misc]progress: [ 1036 / 6878 ] simplifiying candidate # 1540202227.652 * [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))))))) 1540202227.652 * * [misc]simplify: iters left: 6 (21 enodes) 1540202227.655 * * [misc]simplify: iters left: 5 (35 enodes) 1540202227.660 * * [misc]simplify: iters left: 4 (61 enodes) 1540202227.670 * * [misc]simplify: iters left: 3 (134 enodes) 1540202227.700 * * [misc]simplify: iters left: 2 (338 enodes) 1540202227.836 * [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))))) 1540202227.836 * [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)))))))) 1540202227.836 * [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)))))) 1540202227.836 * * [misc]simplify: iters left: 6 (19 enodes) 1540202227.839 * * [misc]simplify: iters left: 5 (28 enodes) 1540202227.843 * * [misc]simplify: iters left: 4 (47 enodes) 1540202227.850 * * [misc]simplify: iters left: 3 (95 enodes) 1540202227.867 * * [misc]simplify: iters left: 2 (182 enodes) 1540202227.908 * * [misc]simplify: iters left: 1 (321 enodes) 1540202228.010 * [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)))))) 1540202228.010 * [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)))))))) 1540202228.010 * * * * [misc]progress: [ 1037 / 6878 ] simplifiying candidate # 1540202228.011 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202228.011 * * [misc]simplify: iters left: 6 (20 enodes) 1540202228.014 * * [misc]simplify: iters left: 5 (32 enodes) 1540202228.018 * * [misc]simplify: iters left: 4 (52 enodes) 1540202228.026 * * [misc]simplify: iters left: 3 (98 enodes) 1540202228.044 * * [misc]simplify: iters left: 2 (212 enodes) 1540202228.101 * * [misc]simplify: iters left: 1 (480 enodes) 1540202228.369 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540202228.369 * [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)))))))) 1540202228.369 * [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)))))) 1540202228.369 * * [misc]simplify: iters left: 6 (19 enodes) 1540202228.372 * * [misc]simplify: iters left: 5 (28 enodes) 1540202228.376 * * [misc]simplify: iters left: 4 (47 enodes) 1540202228.391 * * [misc]simplify: iters left: 3 (95 enodes) 1540202228.410 * * [misc]simplify: iters left: 2 (182 enodes) 1540202228.449 * * [misc]simplify: iters left: 1 (321 enodes) 1540202228.549 * [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)))))) 1540202228.549 * [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)))))))) 1540202228.549 * * * * [misc]progress: [ 1038 / 6878 ] simplifiying candidate # 1540202228.549 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202228.549 * * [misc]simplify: iters left: 6 (15 enodes) 1540202228.552 * * [misc]simplify: iters left: 5 (25 enodes) 1540202228.556 * * [misc]simplify: iters left: 4 (45 enodes) 1540202228.562 * * [misc]simplify: iters left: 3 (73 enodes) 1540202228.578 * * [misc]simplify: iters left: 2 (146 enodes) 1540202228.613 * * [misc]simplify: iters left: 1 (216 enodes) 1540202228.664 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202228.664 * [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))))))) 1540202228.664 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202228.665 * * [misc]simplify: iters left: 6 (18 enodes) 1540202228.667 * * [misc]simplify: iters left: 5 (27 enodes) 1540202228.671 * * [misc]simplify: iters left: 4 (46 enodes) 1540202228.678 * * [misc]simplify: iters left: 3 (94 enodes) 1540202228.697 * * [misc]simplify: iters left: 2 (181 enodes) 1540202228.736 * * [misc]simplify: iters left: 1 (325 enodes) 1540202228.842 * [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))))) 1540202228.842 * [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))))))) 1540202228.842 * * * * [misc]progress: [ 1039 / 6878 ] simplifiying candidate # 1540202228.842 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202228.842 * * [misc]simplify: iters left: 6 (13 enodes) 1540202228.845 * * [misc]simplify: iters left: 5 (24 enodes) 1540202228.849 * * [misc]simplify: iters left: 4 (38 enodes) 1540202228.855 * * [misc]simplify: iters left: 3 (74 enodes) 1540202228.867 * * [misc]simplify: iters left: 2 (104 enodes) 1540202228.884 * * [misc]simplify: iters left: 1 (125 enodes) 1540202228.900 * [exit]simplify: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 1540202228.900 * [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))))))) 1540202228.900 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202228.900 * * [misc]simplify: iters left: 6 (15 enodes) 1540202228.903 * * [misc]simplify: iters left: 5 (23 enodes) 1540202228.906 * * [misc]simplify: iters left: 4 (40 enodes) 1540202228.912 * * [misc]simplify: iters left: 3 (85 enodes) 1540202228.928 * * [misc]simplify: iters left: 2 (150 enodes) 1540202228.960 * * [misc]simplify: iters left: 1 (234 enodes) 1540202229.015 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202229.015 * [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))))) 1540202229.015 * * * * [misc]progress: [ 1040 / 6878 ] simplifiying candidate # 1540202229.015 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202229.015 * * [misc]simplify: iters left: 6 (13 enodes) 1540202229.018 * * [misc]simplify: iters left: 5 (24 enodes) 1540202229.022 * * [misc]simplify: iters left: 4 (38 enodes) 1540202229.028 * * [misc]simplify: iters left: 3 (74 enodes) 1540202229.040 * * [misc]simplify: iters left: 2 (104 enodes) 1540202229.055 * * [misc]simplify: iters left: 1 (125 enodes) 1540202229.072 * [exit]simplify: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 1540202229.072 * [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))))))) 1540202229.073 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202229.073 * * [misc]simplify: iters left: 6 (15 enodes) 1540202229.075 * * [misc]simplify: iters left: 5 (23 enodes) 1540202229.078 * * [misc]simplify: iters left: 4 (40 enodes) 1540202229.084 * * [misc]simplify: iters left: 3 (85 enodes) 1540202229.100 * * [misc]simplify: iters left: 2 (150 enodes) 1540202229.132 * * [misc]simplify: iters left: 1 (234 enodes) 1540202229.184 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202229.184 * [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))))) 1540202229.184 * * * * [misc]progress: [ 1041 / 6878 ] simplifiying candidate # 1540202229.184 * [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))))))) 1540202229.184 * * [misc]simplify: iters left: 6 (18 enodes) 1540202229.188 * * [misc]simplify: iters left: 5 (32 enodes) 1540202229.193 * * [misc]simplify: iters left: 4 (55 enodes) 1540202229.202 * * [misc]simplify: iters left: 3 (122 enodes) 1540202229.228 * * [misc]simplify: iters left: 2 (241 enodes) 1540202229.291 * * [misc]simplify: iters left: 1 (394 enodes) 1540202229.479 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202229.479 * [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)))))))) 1540202229.479 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202229.480 * * [misc]simplify: iters left: 6 (18 enodes) 1540202229.482 * * [misc]simplify: iters left: 5 (27 enodes) 1540202229.486 * * [misc]simplify: iters left: 4 (45 enodes) 1540202229.493 * * [misc]simplify: iters left: 3 (90 enodes) 1540202229.509 * * [misc]simplify: iters left: 2 (155 enodes) 1540202229.541 * * [misc]simplify: iters left: 1 (235 enodes) 1540202229.593 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202229.594 * [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))))) 1540202229.594 * * * * [misc]progress: [ 1042 / 6878 ] simplifiying candidate # 1540202229.594 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202229.594 * * [misc]simplify: iters left: 6 (17 enodes) 1540202229.597 * * [misc]simplify: iters left: 5 (29 enodes) 1540202229.601 * * [misc]simplify: iters left: 4 (46 enodes) 1540202229.608 * * [misc]simplify: iters left: 3 (82 enodes) 1540202229.620 * * [misc]simplify: iters left: 2 (112 enodes) 1540202229.635 * * [misc]simplify: iters left: 1 (139 enodes) 1540202229.657 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt n) (sqrt PI))) 1540202229.657 * [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)))))))) 1540202229.657 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202229.657 * * [misc]simplify: iters left: 6 (18 enodes) 1540202229.660 * * [misc]simplify: iters left: 5 (27 enodes) 1540202229.664 * * [misc]simplify: iters left: 4 (45 enodes) 1540202229.671 * * [misc]simplify: iters left: 3 (90 enodes) 1540202229.687 * * [misc]simplify: iters left: 2 (155 enodes) 1540202229.718 * * [misc]simplify: iters left: 1 (235 enodes) 1540202229.770 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202229.770 * [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))))) 1540202229.770 * * * * [misc]progress: [ 1043 / 6878 ] simplifiying candidate # 1540202229.770 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 1)) 1540202229.770 * * [misc]simplify: iters left: 6 (11 enodes) 1540202229.773 * * [misc]simplify: iters left: 5 (19 enodes) 1540202229.775 * * [misc]simplify: iters left: 4 (25 enodes) 1540202229.778 * * [misc]simplify: iters left: 3 (27 enodes) 1540202229.780 * * [misc]simplify: iters left: 2 (28 enodes) 1540202229.783 * * [misc]simplify: iters left: 1 (29 enodes) 1540202229.785 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540202229.785 * [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))))))) 1540202229.786 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202229.786 * * [misc]simplify: iters left: 6 (17 enodes) 1540202229.788 * * [misc]simplify: iters left: 5 (26 enodes) 1540202229.792 * * [misc]simplify: iters left: 4 (44 enodes) 1540202229.799 * * [misc]simplify: iters left: 3 (89 enodes) 1540202229.814 * * [misc]simplify: iters left: 2 (154 enodes) 1540202229.846 * * [misc]simplify: iters left: 1 (234 enodes) 1540202229.917 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202229.917 * [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)))))) 1540202229.917 * * * * [misc]progress: [ 1044 / 6878 ] simplifiying candidate # 1540202229.918 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1) 1540202229.918 * * [misc]simplify: iters left: 6 (10 enodes) 1540202229.920 * * [misc]simplify: iters left: 5 (18 enodes) 1540202229.922 * * [misc]simplify: iters left: 4 (27 enodes) 1540202229.925 * * [misc]simplify: iters left: 3 (29 enodes) 1540202229.928 * * [misc]simplify: iters left: 2 (30 enodes) 1540202229.930 * * [misc]simplify: iters left: 1 (31 enodes) 1540202229.932 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540202229.932 * [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))))))) 1540202229.933 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202229.933 * * [misc]simplify: iters left: 6 (17 enodes) 1540202229.935 * * [misc]simplify: iters left: 5 (26 enodes) 1540202229.939 * * [misc]simplify: iters left: 4 (44 enodes) 1540202229.945 * * [misc]simplify: iters left: 3 (89 enodes) 1540202229.961 * * [misc]simplify: iters left: 2 (154 enodes) 1540202229.993 * * [misc]simplify: iters left: 1 (234 enodes) 1540202230.044 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202230.044 * [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)))))) 1540202230.044 * * * * [misc]progress: [ 1045 / 6878 ] simplifiying candidate # 1540202230.045 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (sqrt (sqrt k))) 1540202230.045 * * [misc]simplify: iters left: 6 (13 enodes) 1540202230.047 * * [misc]simplify: iters left: 5 (21 enodes) 1540202230.051 * * [misc]simplify: iters left: 4 (30 enodes) 1540202230.055 * * [misc]simplify: iters left: 3 (55 enodes) 1540202230.064 * * [misc]simplify: iters left: 2 (86 enodes) 1540202230.074 * * [misc]simplify: iters left: 1 (102 enodes) 1540202230.083 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540202230.083 * [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))))))) 1540202230.083 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202230.083 * * [misc]simplify: iters left: 6 (18 enodes) 1540202230.086 * * [misc]simplify: iters left: 5 (29 enodes) 1540202230.090 * * [misc]simplify: iters left: 4 (46 enodes) 1540202230.098 * * [misc]simplify: iters left: 3 (98 enodes) 1540202230.115 * * [misc]simplify: iters left: 2 (205 enodes) 1540202230.176 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))) 1540202230.176 * [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)))))) 1540202230.176 * * * * [misc]progress: [ 1046 / 6878 ] simplifiying candidate # 1540202230.177 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202230.177 * * [misc]simplify: iters left: 6 (16 enodes) 1540202230.180 * * [misc]simplify: iters left: 5 (27 enodes) 1540202230.186 * * [misc]simplify: iters left: 4 (44 enodes) 1540202230.193 * * [misc]simplify: iters left: 3 (90 enodes) 1540202230.211 * * [misc]simplify: iters left: 2 (205 enodes) 1540202230.273 * * [misc]simplify: iters left: 1 (433 enodes) 1540202230.468 * [exit]simplify: Simplified to (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt 2)) 1540202230.468 * [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))))) 1540202230.468 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202230.468 * * [misc]simplify: iters left: 6 (14 enodes) 1540202230.470 * * [misc]simplify: iters left: 5 (20 enodes) 1540202230.473 * * [misc]simplify: iters left: 4 (30 enodes) 1540202230.477 * * [misc]simplify: iters left: 3 (45 enodes) 1540202230.483 * * [misc]simplify: iters left: 2 (62 enodes) 1540202230.492 * * [misc]simplify: iters left: 1 (79 enodes) 1540202230.502 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202230.502 * [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)))))) 1540202230.502 * * * * [misc]progress: [ 1047 / 6878 ] simplifiying candidate # 1540202230.503 * [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))))))) 1540202230.503 * * [misc]simplify: iters left: 6 (20 enodes) 1540202230.506 * * [misc]simplify: iters left: 5 (32 enodes) 1540202230.510 * * [misc]simplify: iters left: 4 (52 enodes) 1540202230.518 * * [misc]simplify: iters left: 3 (90 enodes) 1540202230.534 * * [misc]simplify: iters left: 2 (177 enodes) 1540202230.575 * * [misc]simplify: iters left: 1 (324 enodes) 1540202230.635 * [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))) 1540202230.635 * [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)))))))) 1540202230.636 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202230.636 * * [misc]simplify: iters left: 6 (18 enodes) 1540202230.638 * * [misc]simplify: iters left: 5 (25 enodes) 1540202230.642 * * [misc]simplify: iters left: 4 (36 enodes) 1540202230.647 * * [misc]simplify: iters left: 3 (51 enodes) 1540202230.653 * * [misc]simplify: iters left: 2 (68 enodes) 1540202230.664 * * [misc]simplify: iters left: 1 (85 enodes) 1540202230.675 * [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)))))) 1540202230.675 * [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)))))))) 1540202230.675 * * * * [misc]progress: [ 1048 / 6878 ] simplifiying candidate # 1540202230.675 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202230.675 * * [misc]simplify: iters left: 6 (19 enodes) 1540202230.679 * * [misc]simplify: iters left: 5 (29 enodes) 1540202230.682 * * [misc]simplify: iters left: 4 (41 enodes) 1540202230.688 * * [misc]simplify: iters left: 3 (65 enodes) 1540202230.698 * * [misc]simplify: iters left: 2 (98 enodes) 1540202230.710 * * [misc]simplify: iters left: 1 (115 enodes) 1540202230.720 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202230.720 * [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)))))))) 1540202230.721 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202230.721 * * [misc]simplify: iters left: 6 (18 enodes) 1540202230.723 * * [misc]simplify: iters left: 5 (25 enodes) 1540202230.728 * * [misc]simplify: iters left: 4 (36 enodes) 1540202230.733 * * [misc]simplify: iters left: 3 (51 enodes) 1540202230.739 * * [misc]simplify: iters left: 2 (68 enodes) 1540202230.749 * * [misc]simplify: iters left: 1 (85 enodes) 1540202230.760 * [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)))))) 1540202230.760 * [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)))))))) 1540202230.760 * * * * [misc]progress: [ 1049 / 6878 ] simplifiying candidate # 1540202230.761 * [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))) 1540202230.761 * * [misc]simplify: iters left: 6 (18 enodes) 1540202230.764 * * [misc]simplify: iters left: 5 (31 enodes) 1540202230.769 * * [misc]simplify: iters left: 4 (58 enodes) 1540202230.780 * * [misc]simplify: iters left: 3 (155 enodes) 1540202230.819 * * [misc]simplify: iters left: 2 (443 enodes) 1540202231.124 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202231.124 * [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))))))) 1540202231.125 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202231.125 * * [misc]simplify: iters left: 6 (16 enodes) 1540202231.127 * * [misc]simplify: iters left: 5 (24 enodes) 1540202231.130 * * [misc]simplify: iters left: 4 (42 enodes) 1540202231.137 * * [misc]simplify: iters left: 3 (90 enodes) 1540202231.461 * * [misc]simplify: iters left: 2 (177 enodes) 1540202231.498 * * [misc]simplify: iters left: 1 (312 enodes) 1540202231.596 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540202231.596 * [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)))))) 1540202231.596 * * * * [misc]progress: [ 1050 / 6878 ] simplifiying candidate # 1540202231.596 * [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))) 1540202231.596 * * [misc]simplify: iters left: 6 (18 enodes) 1540202231.600 * * [misc]simplify: iters left: 5 (31 enodes) 1540202231.605 * * [misc]simplify: iters left: 4 (58 enodes) 1540202231.616 * * [misc]simplify: iters left: 3 (155 enodes) 1540202231.654 * * [misc]simplify: iters left: 2 (443 enodes) 1540202231.960 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202231.960 * [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))))))) 1540202231.960 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202231.961 * * [misc]simplify: iters left: 6 (16 enodes) 1540202231.965 * * [misc]simplify: iters left: 5 (24 enodes) 1540202231.969 * * [misc]simplify: iters left: 4 (42 enodes) 1540202231.975 * * [misc]simplify: iters left: 3 (90 enodes) 1540202231.992 * * [misc]simplify: iters left: 2 (177 enodes) 1540202232.031 * * [misc]simplify: iters left: 1 (312 enodes) 1540202232.130 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540202232.130 * [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)))))) 1540202232.130 * * * * [misc]progress: [ 1051 / 6878 ] simplifiying candidate # 1540202232.130 * [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))))))) 1540202232.130 * * [misc]simplify: iters left: 6 (22 enodes) 1540202232.136 * * [misc]simplify: iters left: 5 (40 enodes) 1540202232.144 * * [misc]simplify: iters left: 4 (90 enodes) 1540202232.163 * * [misc]simplify: iters left: 3 (254 enodes) 1540202232.255 * [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)))))) 1540202232.255 * [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)))))))) 1540202232.255 * [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)))))) 1540202232.255 * * [misc]simplify: iters left: 6 (19 enodes) 1540202232.258 * * [misc]simplify: iters left: 5 (28 enodes) 1540202232.262 * * [misc]simplify: iters left: 4 (47 enodes) 1540202232.269 * * [misc]simplify: iters left: 3 (95 enodes) 1540202232.288 * * [misc]simplify: iters left: 2 (182 enodes) 1540202232.327 * * [misc]simplify: iters left: 1 (321 enodes) 1540202232.427 * [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)))))) 1540202232.428 * [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)))))))) 1540202232.428 * * * * [misc]progress: [ 1052 / 6878 ] simplifiying candidate # 1540202232.428 * [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)))))) 1540202232.428 * * [misc]simplify: iters left: 6 (21 enodes) 1540202232.431 * * [misc]simplify: iters left: 5 (35 enodes) 1540202232.436 * * [misc]simplify: iters left: 4 (65 enodes) 1540202232.448 * * [misc]simplify: iters left: 3 (162 enodes) 1540202232.488 * * [misc]simplify: iters left: 2 (458 enodes) 1540202232.754 * [exit]simplify: Simplified to (* (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540202232.754 * [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)))))))) 1540202232.754 * [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)))))) 1540202232.754 * * [misc]simplify: iters left: 6 (19 enodes) 1540202232.757 * * [misc]simplify: iters left: 5 (28 enodes) 1540202232.761 * * [misc]simplify: iters left: 4 (47 enodes) 1540202232.768 * * [misc]simplify: iters left: 3 (95 enodes) 1540202232.785 * * [misc]simplify: iters left: 2 (182 enodes) 1540202232.825 * * [misc]simplify: iters left: 1 (321 enodes) 1540202232.925 * [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)))))) 1540202232.925 * [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)))))))) 1540202232.925 * * * * [misc]progress: [ 1053 / 6878 ] simplifiying candidate # 1540202232.925 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202232.925 * * [misc]simplify: iters left: 6 (16 enodes) 1540202232.929 * * [misc]simplify: iters left: 5 (28 enodes) 1540202232.934 * * [misc]simplify: iters left: 4 (56 enodes) 1540202232.943 * * [misc]simplify: iters left: 3 (110 enodes) 1540202232.973 * * [misc]simplify: iters left: 2 (336 enodes) 1540202233.190 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202233.190 * [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))))))) 1540202233.191 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202233.191 * * [misc]simplify: iters left: 6 (18 enodes) 1540202233.193 * * [misc]simplify: iters left: 5 (27 enodes) 1540202233.197 * * [misc]simplify: iters left: 4 (46 enodes) 1540202233.206 * * [misc]simplify: iters left: 3 (94 enodes) 1540202233.223 * * [misc]simplify: iters left: 2 (181 enodes) 1540202233.262 * * [misc]simplify: iters left: 1 (325 enodes) 1540202233.368 * [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))))) 1540202233.368 * [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))))))) 1540202233.368 * * * * [misc]progress: [ 1054 / 6878 ] simplifiying candidate # 1540202233.368 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202233.368 * * [misc]simplify: iters left: 6 (18 enodes) 1540202233.372 * * [misc]simplify: iters left: 5 (30 enodes) 1540202233.377 * * [misc]simplify: iters left: 4 (47 enodes) 1540202233.386 * * [misc]simplify: iters left: 3 (93 enodes) 1540202233.404 * * [misc]simplify: iters left: 2 (205 enodes) 1540202233.459 * * [misc]simplify: iters left: 1 (345 enodes) 1540202233.548 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540202233.548 * [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))))))) 1540202233.548 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202233.548 * * [misc]simplify: iters left: 6 (17 enodes) 1540202233.551 * * [misc]simplify: iters left: 5 (25 enodes) 1540202233.554 * * [misc]simplify: iters left: 4 (43 enodes) 1540202233.561 * * [misc]simplify: iters left: 3 (91 enodes) 1540202233.580 * * [misc]simplify: iters left: 2 (178 enodes) 1540202233.618 * * [misc]simplify: iters left: 1 (316 enodes) 1540202233.732 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540202233.732 * [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))))) 1540202233.732 * * * * [misc]progress: [ 1055 / 6878 ] simplifiying candidate # 1540202233.732 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202233.732 * * [misc]simplify: iters left: 6 (18 enodes) 1540202233.736 * * [misc]simplify: iters left: 5 (30 enodes) 1540202233.740 * * [misc]simplify: iters left: 4 (47 enodes) 1540202233.748 * * [misc]simplify: iters left: 3 (93 enodes) 1540202233.767 * * [misc]simplify: iters left: 2 (205 enodes) 1540202233.821 * * [misc]simplify: iters left: 1 (345 enodes) 1540202233.921 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540202233.921 * [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))))))) 1540202233.922 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202233.922 * * [misc]simplify: iters left: 6 (17 enodes) 1540202233.924 * * [misc]simplify: iters left: 5 (25 enodes) 1540202233.927 * * [misc]simplify: iters left: 4 (43 enodes) 1540202233.934 * * [misc]simplify: iters left: 3 (91 enodes) 1540202233.952 * * [misc]simplify: iters left: 2 (178 enodes) 1540202233.989 * * [misc]simplify: iters left: 1 (316 enodes) 1540202234.088 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540202234.088 * [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))))) 1540202234.088 * * * * [misc]progress: [ 1056 / 6878 ] simplifiying candidate # 1540202234.089 * [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))))))) 1540202234.089 * * [misc]simplify: iters left: 6 (22 enodes) 1540202234.092 * * [misc]simplify: iters left: 5 (37 enodes) 1540202234.097 * * [misc]simplify: iters left: 4 (63 enodes) 1540202234.107 * * [misc]simplify: iters left: 3 (136 enodes) 1540202234.137 * * [misc]simplify: iters left: 2 (333 enodes) 1540202234.263 * [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))) 1540202234.263 * [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)))))))) 1540202234.263 * [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)))))) 1540202234.263 * * [misc]simplify: iters left: 6 (20 enodes) 1540202234.266 * * [misc]simplify: iters left: 5 (29 enodes) 1540202234.270 * * [misc]simplify: iters left: 4 (48 enodes) 1540202234.278 * * [misc]simplify: iters left: 3 (96 enodes) 1540202234.295 * * [misc]simplify: iters left: 2 (183 enodes) 1540202234.335 * * [misc]simplify: iters left: 1 (326 enodes) 1540202234.441 * [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)))) 1540202234.441 * [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)))))) 1540202234.441 * * * * [misc]progress: [ 1057 / 6878 ] simplifiying candidate # 1540202234.442 * [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)))))) 1540202234.442 * * [misc]simplify: iters left: 6 (21 enodes) 1540202234.445 * * [misc]simplify: iters left: 5 (34 enodes) 1540202234.450 * * [misc]simplify: iters left: 4 (54 enodes) 1540202234.458 * * [misc]simplify: iters left: 3 (100 enodes) 1540202234.476 * * [misc]simplify: iters left: 2 (209 enodes) 1540202234.528 * * [misc]simplify: iters left: 1 (391 enodes) 1540202234.665 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540202234.665 * [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)))))))) 1540202234.666 * [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)))))) 1540202234.666 * * [misc]simplify: iters left: 6 (20 enodes) 1540202234.669 * * [misc]simplify: iters left: 5 (29 enodes) 1540202234.673 * * [misc]simplify: iters left: 4 (48 enodes) 1540202234.680 * * [misc]simplify: iters left: 3 (96 enodes) 1540202234.698 * * [misc]simplify: iters left: 2 (183 enodes) 1540202234.738 * * [misc]simplify: iters left: 1 (326 enodes) 1540202234.843 * [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)))) 1540202234.843 * [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)))))) 1540202234.843 * * * * [misc]progress: [ 1058 / 6878 ] simplifiying candidate # 1540202234.844 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202234.844 * * [misc]simplify: iters left: 6 (16 enodes) 1540202234.847 * * [misc]simplify: iters left: 5 (26 enodes) 1540202234.850 * * [misc]simplify: iters left: 4 (40 enodes) 1540202234.856 * * [misc]simplify: iters left: 3 (73 enodes) 1540202234.874 * * [misc]simplify: iters left: 2 (153 enodes) 1540202234.916 * * [misc]simplify: iters left: 1 (235 enodes) 1540202234.972 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540202234.972 * [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))))))) 1540202234.972 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202234.972 * * [misc]simplify: iters left: 6 (19 enodes) 1540202234.975 * * [misc]simplify: iters left: 5 (28 enodes) 1540202234.979 * * [misc]simplify: iters left: 4 (47 enodes) 1540202234.986 * * [misc]simplify: iters left: 3 (95 enodes) 1540202235.004 * * [misc]simplify: iters left: 2 (182 enodes) 1540202235.044 * * [misc]simplify: iters left: 1 (320 enodes) 1540202235.144 * [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))))) 1540202235.144 * [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))))))) 1540202235.145 * * * * [misc]progress: [ 1059 / 6878 ] simplifiying candidate # 1540202235.145 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202235.145 * * [misc]simplify: iters left: 6 (17 enodes) 1540202235.149 * * [misc]simplify: iters left: 5 (28 enodes) 1540202235.153 * * [misc]simplify: iters left: 4 (45 enodes) 1540202235.160 * * [misc]simplify: iters left: 3 (91 enodes) 1540202235.178 * * [misc]simplify: iters left: 2 (206 enodes) 1540202235.239 * * [misc]simplify: iters left: 1 (424 enodes) 1540202235.438 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202235.438 * [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))))))) 1540202235.438 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202235.438 * * [misc]simplify: iters left: 6 (16 enodes) 1540202235.441 * * [misc]simplify: iters left: 5 (24 enodes) 1540202235.444 * * [misc]simplify: iters left: 4 (42 enodes) 1540202235.451 * * [misc]simplify: iters left: 3 (90 enodes) 1540202235.467 * * [misc]simplify: iters left: 2 (177 enodes) 1540202235.507 * * [misc]simplify: iters left: 1 (312 enodes) 1540202235.606 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202235.606 * [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)))))) 1540202235.606 * * * * [misc]progress: [ 1060 / 6878 ] simplifiying candidate # 1540202235.606 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202235.606 * * [misc]simplify: iters left: 6 (17 enodes) 1540202235.610 * * [misc]simplify: iters left: 5 (28 enodes) 1540202235.614 * * [misc]simplify: iters left: 4 (45 enodes) 1540202235.622 * * [misc]simplify: iters left: 3 (91 enodes) 1540202235.640 * * [misc]simplify: iters left: 2 (206 enodes) 1540202235.701 * * [misc]simplify: iters left: 1 (424 enodes) 1540202235.899 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202235.900 * [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))))))) 1540202235.900 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202235.900 * * [misc]simplify: iters left: 6 (16 enodes) 1540202235.902 * * [misc]simplify: iters left: 5 (24 enodes) 1540202235.905 * * [misc]simplify: iters left: 4 (42 enodes) 1540202235.912 * * [misc]simplify: iters left: 3 (90 enodes) 1540202235.928 * * [misc]simplify: iters left: 2 (177 enodes) 1540202235.967 * * [misc]simplify: iters left: 1 (312 enodes) 1540202236.079 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202236.079 * [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)))))) 1540202236.079 * * * * [misc]progress: [ 1061 / 6878 ] simplifiying candidate # 1540202236.079 * [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))))))) 1540202236.079 * * [misc]simplify: iters left: 6 (21 enodes) 1540202236.083 * * [misc]simplify: iters left: 5 (35 enodes) 1540202236.088 * * [misc]simplify: iters left: 4 (61 enodes) 1540202236.098 * * [misc]simplify: iters left: 3 (134 enodes) 1540202236.126 * * [misc]simplify: iters left: 2 (338 enodes) 1540202236.262 * [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))))) 1540202236.262 * [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)))))))) 1540202236.262 * [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)))))) 1540202236.263 * * [misc]simplify: iters left: 6 (19 enodes) 1540202236.266 * * [misc]simplify: iters left: 5 (28 enodes) 1540202236.270 * * [misc]simplify: iters left: 4 (47 enodes) 1540202236.278 * * [misc]simplify: iters left: 3 (95 enodes) 1540202236.295 * * [misc]simplify: iters left: 2 (182 enodes) 1540202236.336 * * [misc]simplify: iters left: 1 (321 enodes) 1540202236.438 * [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)))))) 1540202236.438 * [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)))))))) 1540202236.439 * * * * [misc]progress: [ 1062 / 6878 ] simplifiying candidate # 1540202236.439 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202236.439 * * [misc]simplify: iters left: 6 (20 enodes) 1540202236.442 * * [misc]simplify: iters left: 5 (32 enodes) 1540202236.447 * * [misc]simplify: iters left: 4 (52 enodes) 1540202236.454 * * [misc]simplify: iters left: 3 (98 enodes) 1540202236.472 * * [misc]simplify: iters left: 2 (212 enodes) 1540202236.529 * * [misc]simplify: iters left: 1 (480 enodes) 1540202236.798 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540202236.798 * [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)))))))) 1540202236.798 * [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)))))) 1540202236.798 * * [misc]simplify: iters left: 6 (19 enodes) 1540202236.801 * * [misc]simplify: iters left: 5 (28 enodes) 1540202236.805 * * [misc]simplify: iters left: 4 (47 enodes) 1540202236.812 * * [misc]simplify: iters left: 3 (95 enodes) 1540202236.831 * * [misc]simplify: iters left: 2 (182 enodes) 1540202236.870 * * [misc]simplify: iters left: 1 (321 enodes) 1540202236.971 * [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)))))) 1540202236.971 * [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)))))))) 1540202236.971 * * * * [misc]progress: [ 1063 / 6878 ] simplifiying candidate # 1540202236.971 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202236.971 * * [misc]simplify: iters left: 6 (15 enodes) 1540202236.974 * * [misc]simplify: iters left: 5 (25 enodes) 1540202236.978 * * [misc]simplify: iters left: 4 (45 enodes) 1540202236.984 * * [misc]simplify: iters left: 3 (73 enodes) 1540202236.999 * * [misc]simplify: iters left: 2 (146 enodes) 1540202237.034 * * [misc]simplify: iters left: 1 (216 enodes) 1540202237.086 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202237.086 * [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))))))) 1540202237.086 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202237.086 * * [misc]simplify: iters left: 6 (18 enodes) 1540202237.089 * * [misc]simplify: iters left: 5 (27 enodes) 1540202237.093 * * [misc]simplify: iters left: 4 (46 enodes) 1540202237.100 * * [misc]simplify: iters left: 3 (94 enodes) 1540202237.117 * * [misc]simplify: iters left: 2 (181 enodes) 1540202237.157 * * [misc]simplify: iters left: 1 (325 enodes) 1540202237.263 * [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))))) 1540202237.263 * [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))))))) 1540202237.263 * * * * [misc]progress: [ 1064 / 6878 ] simplifiying candidate # 1540202237.263 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202237.263 * * [misc]simplify: iters left: 6 (13 enodes) 1540202237.266 * * [misc]simplify: iters left: 5 (24 enodes) 1540202237.270 * * [misc]simplify: iters left: 4 (43 enodes) 1540202237.279 * * [misc]simplify: iters left: 3 (99 enodes) 1540202237.299 * * [misc]simplify: iters left: 2 (142 enodes) 1540202237.318 * * [misc]simplify: iters left: 1 (166 enodes) 1540202237.337 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt n)) (sqrt PI)) 1540202237.337 * [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))))))) 1540202237.337 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202237.337 * * [misc]simplify: iters left: 6 (15 enodes) 1540202237.339 * * [misc]simplify: iters left: 5 (23 enodes) 1540202237.343 * * [misc]simplify: iters left: 4 (40 enodes) 1540202237.349 * * [misc]simplify: iters left: 3 (85 enodes) 1540202237.365 * * [misc]simplify: iters left: 2 (150 enodes) 1540202237.396 * * [misc]simplify: iters left: 1 (234 enodes) 1540202237.451 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202237.451 * [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))))) 1540202237.451 * * * * [misc]progress: [ 1065 / 6878 ] simplifiying candidate # 1540202237.451 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202237.451 * * [misc]simplify: iters left: 6 (13 enodes) 1540202237.454 * * [misc]simplify: iters left: 5 (24 enodes) 1540202237.458 * * [misc]simplify: iters left: 4 (43 enodes) 1540202237.466 * * [misc]simplify: iters left: 3 (99 enodes) 1540202237.484 * * [misc]simplify: iters left: 2 (142 enodes) 1540202237.504 * * [misc]simplify: iters left: 1 (166 enodes) 1540202237.523 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt n)) (sqrt PI)) 1540202237.523 * [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))))))) 1540202237.523 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202237.524 * * [misc]simplify: iters left: 6 (15 enodes) 1540202237.526 * * [misc]simplify: iters left: 5 (23 enodes) 1540202237.529 * * [misc]simplify: iters left: 4 (40 enodes) 1540202237.535 * * [misc]simplify: iters left: 3 (85 enodes) 1540202237.551 * * [misc]simplify: iters left: 2 (150 enodes) 1540202237.583 * * [misc]simplify: iters left: 1 (234 enodes) 1540202237.636 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202237.637 * [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))))) 1540202237.637 * * * * [misc]progress: [ 1066 / 6878 ] simplifiying candidate # 1540202237.637 * [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))))))) 1540202237.637 * * [misc]simplify: iters left: 6 (18 enodes) 1540202237.640 * * [misc]simplify: iters left: 5 (32 enodes) 1540202237.645 * * [misc]simplify: iters left: 4 (61 enodes) 1540202237.657 * * [misc]simplify: iters left: 3 (155 enodes) 1540202237.695 * * [misc]simplify: iters left: 2 (342 enodes) 1540202237.802 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202237.803 * [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)))))))) 1540202237.803 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202237.803 * * [misc]simplify: iters left: 6 (18 enodes) 1540202237.805 * * [misc]simplify: iters left: 5 (27 enodes) 1540202237.809 * * [misc]simplify: iters left: 4 (45 enodes) 1540202237.816 * * [misc]simplify: iters left: 3 (90 enodes) 1540202237.832 * * [misc]simplify: iters left: 2 (155 enodes) 1540202237.864 * * [misc]simplify: iters left: 1 (235 enodes) 1540202237.915 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202237.916 * [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))))) 1540202237.916 * * * * [misc]progress: [ 1067 / 6878 ] simplifiying candidate # 1540202237.916 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202237.916 * * [misc]simplify: iters left: 6 (17 enodes) 1540202237.919 * * [misc]simplify: iters left: 5 (29 enodes) 1540202237.924 * * [misc]simplify: iters left: 4 (51 enodes) 1540202237.933 * * [misc]simplify: iters left: 3 (111 enodes) 1540202237.952 * * [misc]simplify: iters left: 2 (206 enodes) 1540202237.994 * * [misc]simplify: iters left: 1 (294 enodes) 1540202238.039 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202238.039 * [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)))))))) 1540202238.040 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202238.040 * * [misc]simplify: iters left: 6 (18 enodes) 1540202238.042 * * [misc]simplify: iters left: 5 (27 enodes) 1540202238.046 * * [misc]simplify: iters left: 4 (45 enodes) 1540202238.054 * * [misc]simplify: iters left: 3 (90 enodes) 1540202238.070 * * [misc]simplify: iters left: 2 (155 enodes) 1540202238.102 * * [misc]simplify: iters left: 1 (235 enodes) 1540202238.154 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202238.154 * [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))))) 1540202238.154 * * * * [misc]progress: [ 1068 / 6878 ] simplifiying candidate # 1540202238.155 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202238.155 * * [misc]simplify: iters left: 6 (11 enodes) 1540202238.157 * * [misc]simplify: iters left: 5 (21 enodes) 1540202238.160 * * [misc]simplify: iters left: 4 (28 enodes) 1540202238.163 * * [misc]simplify: iters left: 3 (33 enodes) 1540202238.167 * * [misc]simplify: iters left: 2 (41 enodes) 1540202238.172 * * [misc]simplify: iters left: 1 (57 enodes) 1540202238.183 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540202238.183 * [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))))))) 1540202238.183 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202238.183 * * [misc]simplify: iters left: 6 (17 enodes) 1540202238.186 * * [misc]simplify: iters left: 5 (26 enodes) 1540202238.189 * * [misc]simplify: iters left: 4 (44 enodes) 1540202238.196 * * [misc]simplify: iters left: 3 (89 enodes) 1540202238.212 * * [misc]simplify: iters left: 2 (154 enodes) 1540202238.244 * * [misc]simplify: iters left: 1 (234 enodes) 1540202238.294 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202238.294 * [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)))))) 1540202238.295 * * * * [misc]progress: [ 1069 / 6878 ] simplifiying candidate # 1540202238.295 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202238.295 * * [misc]simplify: iters left: 6 (17 enodes) 1540202238.299 * * [misc]simplify: iters left: 5 (28 enodes) 1540202238.303 * * [misc]simplify: iters left: 4 (45 enodes) 1540202238.311 * * [misc]simplify: iters left: 3 (91 enodes) 1540202238.328 * * [misc]simplify: iters left: 2 (206 enodes) 1540202238.388 * * [misc]simplify: iters left: 1 (424 enodes) 1540202238.588 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202238.588 * [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))))))) 1540202238.588 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202238.588 * * [misc]simplify: iters left: 6 (16 enodes) 1540202238.590 * * [misc]simplify: iters left: 5 (24 enodes) 1540202238.594 * * [misc]simplify: iters left: 4 (42 enodes) 1540202238.601 * * [misc]simplify: iters left: 3 (90 enodes) 1540202238.618 * * [misc]simplify: iters left: 2 (177 enodes) 1540202238.657 * * [misc]simplify: iters left: 1 (312 enodes) 1540202238.757 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202238.757 * [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)))))) 1540202238.758 * * * * [misc]progress: [ 1070 / 6878 ] simplifiying candidate # 1540202238.758 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202238.758 * * [misc]simplify: iters left: 6 (17 enodes) 1540202238.761 * * [misc]simplify: iters left: 5 (28 enodes) 1540202238.765 * * [misc]simplify: iters left: 4 (45 enodes) 1540202238.773 * * [misc]simplify: iters left: 3 (91 enodes) 1540202238.791 * * [misc]simplify: iters left: 2 (206 enodes) 1540202238.851 * * [misc]simplify: iters left: 1 (424 enodes) 1540202239.049 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202239.049 * [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))))))) 1540202239.049 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202239.049 * * [misc]simplify: iters left: 6 (16 enodes) 1540202239.051 * * [misc]simplify: iters left: 5 (24 enodes) 1540202239.055 * * [misc]simplify: iters left: 4 (42 enodes) 1540202239.061 * * [misc]simplify: iters left: 3 (90 enodes) 1540202239.079 * * [misc]simplify: iters left: 2 (177 enodes) 1540202239.119 * * [misc]simplify: iters left: 1 (312 enodes) 1540202239.218 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202239.218 * [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)))))) 1540202239.218 * * * * [misc]progress: [ 1071 / 6878 ] simplifiying candidate # 1540202239.219 * [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))))))) 1540202239.219 * * [misc]simplify: iters left: 6 (21 enodes) 1540202239.222 * * [misc]simplify: iters left: 5 (35 enodes) 1540202239.227 * * [misc]simplify: iters left: 4 (61 enodes) 1540202239.238 * * [misc]simplify: iters left: 3 (134 enodes) 1540202239.266 * * [misc]simplify: iters left: 2 (338 enodes) 1540202239.402 * [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))))) 1540202239.402 * [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)))))))) 1540202239.402 * [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)))))) 1540202239.402 * * [misc]simplify: iters left: 6 (19 enodes) 1540202239.407 * * [misc]simplify: iters left: 5 (28 enodes) 1540202239.411 * * [misc]simplify: iters left: 4 (47 enodes) 1540202239.419 * * [misc]simplify: iters left: 3 (95 enodes) 1540202239.437 * * [misc]simplify: iters left: 2 (182 enodes) 1540202239.477 * * [misc]simplify: iters left: 1 (321 enodes) 1540202239.577 * [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)))))) 1540202239.577 * [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)))))))) 1540202239.577 * * * * [misc]progress: [ 1072 / 6878 ] simplifiying candidate # 1540202239.577 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202239.577 * * [misc]simplify: iters left: 6 (20 enodes) 1540202239.581 * * [misc]simplify: iters left: 5 (32 enodes) 1540202239.587 * * [misc]simplify: iters left: 4 (52 enodes) 1540202239.595 * * [misc]simplify: iters left: 3 (98 enodes) 1540202239.612 * * [misc]simplify: iters left: 2 (212 enodes) 1540202239.669 * * [misc]simplify: iters left: 1 (480 enodes) 1540202239.940 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540202239.940 * [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)))))))) 1540202239.941 * [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)))))) 1540202239.941 * * [misc]simplify: iters left: 6 (19 enodes) 1540202239.944 * * [misc]simplify: iters left: 5 (28 enodes) 1540202239.948 * * [misc]simplify: iters left: 4 (47 enodes) 1540202239.955 * * [misc]simplify: iters left: 3 (95 enodes) 1540202239.973 * * [misc]simplify: iters left: 2 (182 enodes) 1540202240.015 * * [misc]simplify: iters left: 1 (321 enodes) 1540202240.119 * [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)))))) 1540202240.119 * [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)))))))) 1540202240.119 * * * * [misc]progress: [ 1073 / 6878 ] simplifiying candidate # 1540202240.120 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202240.120 * * [misc]simplify: iters left: 6 (15 enodes) 1540202240.123 * * [misc]simplify: iters left: 5 (25 enodes) 1540202240.127 * * [misc]simplify: iters left: 4 (45 enodes) 1540202240.134 * * [misc]simplify: iters left: 3 (73 enodes) 1540202240.148 * * [misc]simplify: iters left: 2 (146 enodes) 1540202240.185 * * [misc]simplify: iters left: 1 (216 enodes) 1540202240.237 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202240.237 * [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))))))) 1540202240.237 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202240.237 * * [misc]simplify: iters left: 6 (18 enodes) 1540202240.240 * * [misc]simplify: iters left: 5 (27 enodes) 1540202240.244 * * [misc]simplify: iters left: 4 (46 enodes) 1540202240.252 * * [misc]simplify: iters left: 3 (94 enodes) 1540202240.269 * * [misc]simplify: iters left: 2 (181 enodes) 1540202240.309 * * [misc]simplify: iters left: 1 (325 enodes) 1540202240.415 * [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))))) 1540202240.415 * [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))))))) 1540202240.415 * * * * [misc]progress: [ 1074 / 6878 ] simplifiying candidate # 1540202240.416 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202240.416 * * [misc]simplify: iters left: 6 (13 enodes) 1540202240.419 * * [misc]simplify: iters left: 5 (24 enodes) 1540202240.422 * * [misc]simplify: iters left: 4 (38 enodes) 1540202240.428 * * [misc]simplify: iters left: 3 (74 enodes) 1540202240.440 * * [misc]simplify: iters left: 2 (104 enodes) 1540202240.455 * * [misc]simplify: iters left: 1 (125 enodes) 1540202240.473 * [exit]simplify: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 1540202240.473 * [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))))))) 1540202240.473 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202240.473 * * [misc]simplify: iters left: 6 (15 enodes) 1540202240.475 * * [misc]simplify: iters left: 5 (23 enodes) 1540202240.478 * * [misc]simplify: iters left: 4 (40 enodes) 1540202240.485 * * [misc]simplify: iters left: 3 (85 enodes) 1540202240.500 * * [misc]simplify: iters left: 2 (150 enodes) 1540202240.533 * * [misc]simplify: iters left: 1 (234 enodes) 1540202240.585 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202240.585 * [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))))) 1540202240.585 * * * * [misc]progress: [ 1075 / 6878 ] simplifiying candidate # 1540202240.585 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202240.585 * * [misc]simplify: iters left: 6 (13 enodes) 1540202240.588 * * [misc]simplify: iters left: 5 (24 enodes) 1540202240.593 * * [misc]simplify: iters left: 4 (38 enodes) 1540202240.599 * * [misc]simplify: iters left: 3 (74 enodes) 1540202240.611 * * [misc]simplify: iters left: 2 (104 enodes) 1540202240.626 * * [misc]simplify: iters left: 1 (125 enodes) 1540202240.642 * [exit]simplify: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 1540202240.642 * [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))))))) 1540202240.643 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202240.643 * * [misc]simplify: iters left: 6 (15 enodes) 1540202240.645 * * [misc]simplify: iters left: 5 (23 enodes) 1540202240.648 * * [misc]simplify: iters left: 4 (40 enodes) 1540202240.655 * * [misc]simplify: iters left: 3 (85 enodes) 1540202240.671 * * [misc]simplify: iters left: 2 (150 enodes) 1540202240.702 * * [misc]simplify: iters left: 1 (234 enodes) 1540202240.756 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202240.756 * [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))))) 1540202240.756 * * * * [misc]progress: [ 1076 / 6878 ] simplifiying candidate # 1540202240.757 * [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))))))) 1540202240.757 * * [misc]simplify: iters left: 6 (18 enodes) 1540202240.760 * * [misc]simplify: iters left: 5 (32 enodes) 1540202240.765 * * [misc]simplify: iters left: 4 (55 enodes) 1540202240.774 * * [misc]simplify: iters left: 3 (122 enodes) 1540202240.801 * * [misc]simplify: iters left: 2 (241 enodes) 1540202240.866 * * [misc]simplify: iters left: 1 (394 enodes) 1540202241.052 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202241.052 * [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)))))))) 1540202241.052 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202241.052 * * [misc]simplify: iters left: 6 (18 enodes) 1540202241.055 * * [misc]simplify: iters left: 5 (27 enodes) 1540202241.058 * * [misc]simplify: iters left: 4 (45 enodes) 1540202241.067 * * [misc]simplify: iters left: 3 (90 enodes) 1540202241.083 * * [misc]simplify: iters left: 2 (155 enodes) 1540202241.113 * * [misc]simplify: iters left: 1 (235 enodes) 1540202241.166 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202241.166 * [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))))) 1540202241.166 * * * * [misc]progress: [ 1077 / 6878 ] simplifiying candidate # 1540202241.166 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202241.166 * * [misc]simplify: iters left: 6 (17 enodes) 1540202241.169 * * [misc]simplify: iters left: 5 (29 enodes) 1540202241.173 * * [misc]simplify: iters left: 4 (46 enodes) 1540202241.180 * * [misc]simplify: iters left: 3 (82 enodes) 1540202241.193 * * [misc]simplify: iters left: 2 (112 enodes) 1540202241.207 * * [misc]simplify: iters left: 1 (139 enodes) 1540202241.230 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt n) (sqrt PI))) 1540202241.230 * [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)))))))) 1540202241.230 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202241.230 * * [misc]simplify: iters left: 6 (18 enodes) 1540202241.233 * * [misc]simplify: iters left: 5 (27 enodes) 1540202241.237 * * [misc]simplify: iters left: 4 (45 enodes) 1540202241.244 * * [misc]simplify: iters left: 3 (90 enodes) 1540202241.261 * * [misc]simplify: iters left: 2 (155 enodes) 1540202241.292 * * [misc]simplify: iters left: 1 (235 enodes) 1540202241.344 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202241.345 * [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))))) 1540202241.345 * * * * [misc]progress: [ 1078 / 6878 ] simplifiying candidate # 1540202241.345 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 1)) 1540202241.345 * * [misc]simplify: iters left: 6 (11 enodes) 1540202241.347 * * [misc]simplify: iters left: 5 (19 enodes) 1540202241.350 * * [misc]simplify: iters left: 4 (25 enodes) 1540202241.352 * * [misc]simplify: iters left: 3 (27 enodes) 1540202241.354 * * [misc]simplify: iters left: 2 (28 enodes) 1540202241.356 * * [misc]simplify: iters left: 1 (29 enodes) 1540202241.359 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540202241.359 * [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))))))) 1540202241.359 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202241.359 * * [misc]simplify: iters left: 6 (17 enodes) 1540202241.362 * * [misc]simplify: iters left: 5 (26 enodes) 1540202241.365 * * [misc]simplify: iters left: 4 (44 enodes) 1540202241.372 * * [misc]simplify: iters left: 3 (89 enodes) 1540202241.390 * * [misc]simplify: iters left: 2 (154 enodes) 1540202241.421 * * [misc]simplify: iters left: 1 (234 enodes) 1540202241.474 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202241.474 * [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)))))) 1540202241.474 * * * * [misc]progress: [ 1079 / 6878 ] simplifiying candidate # 1540202241.474 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1) 1540202241.474 * * [misc]simplify: iters left: 6 (10 enodes) 1540202241.476 * * [misc]simplify: iters left: 5 (18 enodes) 1540202241.479 * * [misc]simplify: iters left: 4 (27 enodes) 1540202241.482 * * [misc]simplify: iters left: 3 (29 enodes) 1540202241.484 * * [misc]simplify: iters left: 2 (30 enodes) 1540202241.486 * * [misc]simplify: iters left: 1 (31 enodes) 1540202241.488 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540202241.488 * [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))))))) 1540202241.489 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202241.489 * * [misc]simplify: iters left: 6 (17 enodes) 1540202241.491 * * [misc]simplify: iters left: 5 (26 enodes) 1540202241.495 * * [misc]simplify: iters left: 4 (44 enodes) 1540202241.502 * * [misc]simplify: iters left: 3 (89 enodes) 1540202241.519 * * [misc]simplify: iters left: 2 (154 enodes) 1540202241.550 * * [misc]simplify: iters left: 1 (234 enodes) 1540202241.603 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202241.603 * [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)))))) 1540202241.604 * * * * [misc]progress: [ 1080 / 6878 ] simplifiying candidate # 1540202241.604 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (sqrt (sqrt k))) 1540202241.604 * * [misc]simplify: iters left: 6 (13 enodes) 1540202241.606 * * [misc]simplify: iters left: 5 (21 enodes) 1540202241.609 * * [misc]simplify: iters left: 4 (30 enodes) 1540202241.613 * * [misc]simplify: iters left: 3 (55 enodes) 1540202241.622 * * [misc]simplify: iters left: 2 (86 enodes) 1540202241.633 * * [misc]simplify: iters left: 1 (102 enodes) 1540202241.642 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540202241.642 * [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))))))) 1540202241.643 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202241.643 * * [misc]simplify: iters left: 6 (18 enodes) 1540202241.645 * * [misc]simplify: iters left: 5 (29 enodes) 1540202241.649 * * [misc]simplify: iters left: 4 (46 enodes) 1540202241.656 * * [misc]simplify: iters left: 3 (98 enodes) 1540202241.674 * * [misc]simplify: iters left: 2 (205 enodes) 1540202241.736 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))) 1540202241.736 * [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)))))) 1540202241.736 * * * * [misc]progress: [ 1081 / 6878 ] simplifiying candidate # 1540202241.736 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202241.736 * * [misc]simplify: iters left: 6 (16 enodes) 1540202241.739 * * [misc]simplify: iters left: 5 (27 enodes) 1540202241.743 * * [misc]simplify: iters left: 4 (44 enodes) 1540202241.751 * * [misc]simplify: iters left: 3 (90 enodes) 1540202241.770 * * [misc]simplify: iters left: 2 (205 enodes) 1540202241.832 * * [misc]simplify: iters left: 1 (433 enodes) 1540202242.027 * [exit]simplify: Simplified to (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt 2)) 1540202242.027 * [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))))) 1540202242.028 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202242.028 * * [misc]simplify: iters left: 6 (14 enodes) 1540202242.030 * * [misc]simplify: iters left: 5 (20 enodes) 1540202242.033 * * [misc]simplify: iters left: 4 (30 enodes) 1540202242.037 * * [misc]simplify: iters left: 3 (45 enodes) 1540202242.043 * * [misc]simplify: iters left: 2 (62 enodes) 1540202242.053 * * [misc]simplify: iters left: 1 (79 enodes) 1540202242.064 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202242.064 * [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)))))) 1540202242.064 * * * * [misc]progress: [ 1082 / 6878 ] simplifiying candidate # 1540202242.064 * [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))))))) 1540202242.065 * * [misc]simplify: iters left: 6 (22 enodes) 1540202242.068 * * [misc]simplify: iters left: 5 (35 enodes) 1540202242.073 * * [misc]simplify: iters left: 4 (60 enodes) 1540202242.083 * * [misc]simplify: iters left: 3 (128 enodes) 1540202242.109 * * [misc]simplify: iters left: 2 (326 enodes) 1540202242.262 * [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))))))) 1540202242.262 * [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)))))))) 1540202242.262 * [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)))))) 1540202242.262 * * [misc]simplify: iters left: 6 (19 enodes) 1540202242.265 * * [misc]simplify: iters left: 5 (26 enodes) 1540202242.268 * * [misc]simplify: iters left: 4 (37 enodes) 1540202242.273 * * [misc]simplify: iters left: 3 (52 enodes) 1540202242.281 * * [misc]simplify: iters left: 2 (69 enodes) 1540202242.290 * * [misc]simplify: iters left: 1 (86 enodes) 1540202242.304 * [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)))))) 1540202242.304 * [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)))))))) 1540202242.304 * * * * [misc]progress: [ 1083 / 6878 ] simplifiying candidate # 1540202242.304 * [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)))))) 1540202242.305 * * [misc]simplify: iters left: 6 (21 enodes) 1540202242.308 * * [misc]simplify: iters left: 5 (32 enodes) 1540202242.312 * * [misc]simplify: iters left: 4 (49 enodes) 1540202242.320 * * [misc]simplify: iters left: 3 (101 enodes) 1540202242.338 * * [misc]simplify: iters left: 2 (204 enodes) 1540202242.382 * * [misc]simplify: iters left: 1 (365 enodes) 1540202242.481 * [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)))))) 1540202242.481 * [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)))))))) 1540202242.481 * [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)))))) 1540202242.481 * * [misc]simplify: iters left: 6 (19 enodes) 1540202242.484 * * [misc]simplify: iters left: 5 (26 enodes) 1540202242.487 * * [misc]simplify: iters left: 4 (37 enodes) 1540202242.492 * * [misc]simplify: iters left: 3 (52 enodes) 1540202242.500 * * [misc]simplify: iters left: 2 (69 enodes) 1540202242.509 * * [misc]simplify: iters left: 1 (86 enodes) 1540202242.521 * [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)))))) 1540202242.521 * [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)))))))) 1540202242.521 * * * * [misc]progress: [ 1084 / 6878 ] simplifiying candidate # 1540202242.522 * [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))) 1540202242.522 * * [misc]simplify: iters left: 6 (22 enodes) 1540202242.526 * * [misc]simplify: iters left: 5 (38 enodes) 1540202242.532 * * [misc]simplify: iters left: 4 (73 enodes) 1540202242.547 * * [misc]simplify: iters left: 3 (218 enodes) 1540202242.615 * [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)))))) 1540202242.615 * [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))))))) 1540202242.615 * [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))))) 1540202242.615 * * [misc]simplify: iters left: 6 (19 enodes) 1540202242.618 * * [misc]simplify: iters left: 5 (28 enodes) 1540202242.621 * * [misc]simplify: iters left: 4 (47 enodes) 1540202242.631 * * [misc]simplify: iters left: 3 (95 enodes) 1540202242.648 * * [misc]simplify: iters left: 2 (182 enodes) 1540202242.689 * * [misc]simplify: iters left: 1 (317 enodes) 1540202242.845 * [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)))))) 1540202242.845 * [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)))))))) 1540202242.845 * * * * [misc]progress: [ 1085 / 6878 ] simplifiying candidate # 1540202242.845 * [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))) 1540202242.846 * * [misc]simplify: iters left: 6 (22 enodes) 1540202242.853 * * [misc]simplify: iters left: 5 (38 enodes) 1540202242.860 * * [misc]simplify: iters left: 4 (73 enodes) 1540202242.877 * * [misc]simplify: iters left: 3 (218 enodes) 1540202242.946 * [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)))))) 1540202242.946 * [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))))))) 1540202242.946 * [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))))) 1540202242.946 * * [misc]simplify: iters left: 6 (19 enodes) 1540202242.949 * * [misc]simplify: iters left: 5 (28 enodes) 1540202242.952 * * [misc]simplify: iters left: 4 (47 enodes) 1540202242.959 * * [misc]simplify: iters left: 3 (95 enodes) 1540202242.977 * * [misc]simplify: iters left: 2 (182 enodes) 1540202243.017 * * [misc]simplify: iters left: 1 (317 enodes) 1540202243.119 * [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)))))) 1540202243.119 * [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)))))))) 1540202243.119 * * * * [misc]progress: [ 1086 / 6878 ] simplifiying candidate # 1540202243.119 * [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))))))) 1540202243.119 * * [misc]simplify: iters left: 6 (24 enodes) 1540202243.123 * * [misc]simplify: iters left: 5 (43 enodes) 1540202243.130 * * [misc]simplify: iters left: 4 (98 enodes) 1540202243.153 * * [misc]simplify: iters left: 3 (327 enodes) 1540202243.293 * [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))))))) 1540202243.293 * [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)))))))) 1540202243.293 * [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)))))) 1540202243.293 * * [misc]simplify: iters left: 6 (20 enodes) 1540202243.296 * * [misc]simplify: iters left: 5 (29 enodes) 1540202243.300 * * [misc]simplify: iters left: 4 (48 enodes) 1540202243.307 * * [misc]simplify: iters left: 3 (96 enodes) 1540202243.327 * * [misc]simplify: iters left: 2 (183 enodes) 1540202243.365 * * [misc]simplify: iters left: 1 (321 enodes) 1540202243.466 * [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)))))) 1540202243.466 * [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)))))))) 1540202243.466 * * * * [misc]progress: [ 1087 / 6878 ] simplifiying candidate # 1540202243.466 * [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)))))) 1540202243.467 * * [misc]simplify: iters left: 6 (23 enodes) 1540202243.471 * * [misc]simplify: iters left: 5 (38 enodes) 1540202243.476 * * [misc]simplify: iters left: 4 (73 enodes) 1540202243.493 * * [misc]simplify: iters left: 3 (216 enodes) 1540202243.561 * [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))))))) 1540202243.561 * [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)))))))) 1540202243.561 * [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)))))) 1540202243.561 * * [misc]simplify: iters left: 6 (20 enodes) 1540202243.564 * * [misc]simplify: iters left: 5 (29 enodes) 1540202243.568 * * [misc]simplify: iters left: 4 (48 enodes) 1540202243.575 * * [misc]simplify: iters left: 3 (96 enodes) 1540202243.593 * * [misc]simplify: iters left: 2 (183 enodes) 1540202243.633 * * [misc]simplify: iters left: 1 (321 enodes) 1540202243.745 * [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)))))) 1540202243.745 * [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)))))))) 1540202243.745 * * * * [misc]progress: [ 1088 / 6878 ] simplifiying candidate # 1540202243.745 * [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)) 1540202243.746 * * [misc]simplify: iters left: 6 (21 enodes) 1540202243.749 * * [misc]simplify: iters left: 5 (36 enodes) 1540202243.755 * * [misc]simplify: iters left: 4 (72 enodes) 1540202243.769 * * [misc]simplify: iters left: 3 (184 enodes) 1540202243.852 * [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)))))) 1540202243.853 * [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))))))) 1540202243.853 * [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))))) 1540202243.853 * * [misc]simplify: iters left: 6 (19 enodes) 1540202243.856 * * [misc]simplify: iters left: 5 (28 enodes) 1540202243.860 * * [misc]simplify: iters left: 4 (47 enodes) 1540202243.869 * * [misc]simplify: iters left: 3 (95 enodes) 1540202243.886 * * [misc]simplify: iters left: 2 (182 enodes) 1540202243.925 * * [misc]simplify: iters left: 1 (317 enodes) 1540202244.025 * [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)))))) 1540202244.025 * [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)))))))) 1540202244.026 * * * * [misc]progress: [ 1089 / 6878 ] simplifiying candidate # 1540202244.026 * [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))) 1540202244.026 * * [misc]simplify: iters left: 6 (22 enodes) 1540202244.031 * * [misc]simplify: iters left: 5 (37 enodes) 1540202244.037 * * [misc]simplify: iters left: 4 (62 enodes) 1540202244.050 * * [misc]simplify: iters left: 3 (143 enodes) 1540202244.082 * * [misc]simplify: iters left: 2 (367 enodes) 1540202244.249 * [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))) 1540202244.249 * [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))))))) 1540202244.249 * [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))))) 1540202244.249 * * [misc]simplify: iters left: 6 (20 enodes) 1540202244.252 * * [misc]simplify: iters left: 5 (29 enodes) 1540202244.256 * * [misc]simplify: iters left: 4 (48 enodes) 1540202244.263 * * [misc]simplify: iters left: 3 (96 enodes) 1540202244.281 * * [misc]simplify: iters left: 2 (183 enodes) 1540202244.322 * * [misc]simplify: iters left: 1 (321 enodes) 1540202244.423 * [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)))) 1540202244.423 * [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)))))) 1540202244.423 * * * * [misc]progress: [ 1090 / 6878 ] simplifiying candidate # 1540202244.423 * [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))) 1540202244.423 * * [misc]simplify: iters left: 6 (22 enodes) 1540202244.427 * * [misc]simplify: iters left: 5 (37 enodes) 1540202244.433 * * [misc]simplify: iters left: 4 (62 enodes) 1540202244.444 * * [misc]simplify: iters left: 3 (143 enodes) 1540202244.477 * * [misc]simplify: iters left: 2 (367 enodes) 1540202244.641 * [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))) 1540202244.641 * [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))))))) 1540202244.641 * [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))))) 1540202244.641 * * [misc]simplify: iters left: 6 (20 enodes) 1540202244.644 * * [misc]simplify: iters left: 5 (29 enodes) 1540202244.648 * * [misc]simplify: iters left: 4 (48 enodes) 1540202244.657 * * [misc]simplify: iters left: 3 (96 enodes) 1540202244.675 * * [misc]simplify: iters left: 2 (183 enodes) 1540202244.714 * * [misc]simplify: iters left: 1 (321 enodes) 1540202244.814 * [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)))) 1540202244.814 * [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)))))) 1540202244.814 * * * * [misc]progress: [ 1091 / 6878 ] simplifiying candidate # 1540202244.815 * [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))))))) 1540202244.815 * * [misc]simplify: iters left: 6 (24 enodes) 1540202244.819 * * [misc]simplify: iters left: 5 (40 enodes) 1540202244.824 * * [misc]simplify: iters left: 4 (71 enodes) 1540202244.839 * * [misc]simplify: iters left: 3 (181 enodes) 1540202244.890 * [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))))))) 1540202244.890 * [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)))))))) 1540202244.890 * [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)))))) 1540202244.890 * * [misc]simplify: iters left: 6 (21 enodes) 1540202244.893 * * [misc]simplify: iters left: 5 (30 enodes) 1540202244.900 * * [misc]simplify: iters left: 4 (49 enodes) 1540202244.908 * * [misc]simplify: iters left: 3 (97 enodes) 1540202244.925 * * [misc]simplify: iters left: 2 (184 enodes) 1540202244.965 * * [misc]simplify: iters left: 1 (321 enodes) 1540202245.065 * [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)))) 1540202245.065 * [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)))))) 1540202245.065 * * * * [misc]progress: [ 1092 / 6878 ] simplifiying candidate # 1540202245.065 * [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)))))) 1540202245.065 * * [misc]simplify: iters left: 6 (23 enodes) 1540202245.069 * * [misc]simplify: iters left: 5 (37 enodes) 1540202245.076 * * [misc]simplify: iters left: 4 (62 enodes) 1540202245.086 * * [misc]simplify: iters left: 3 (143 enodes) 1540202245.117 * * [misc]simplify: iters left: 2 (367 enodes) 1540202245.272 * [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)))))) 1540202245.273 * [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)))))))) 1540202245.273 * [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)))))) 1540202245.273 * * [misc]simplify: iters left: 6 (21 enodes) 1540202245.276 * * [misc]simplify: iters left: 5 (30 enodes) 1540202245.280 * * [misc]simplify: iters left: 4 (49 enodes) 1540202245.287 * * [misc]simplify: iters left: 3 (97 enodes) 1540202245.305 * * [misc]simplify: iters left: 2 (184 enodes) 1540202245.345 * * [misc]simplify: iters left: 1 (321 enodes) 1540202245.447 * [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)))) 1540202245.447 * [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)))))) 1540202245.448 * * * * [misc]progress: [ 1093 / 6878 ] simplifiying candidate # 1540202245.448 * [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)) 1540202245.448 * * [misc]simplify: iters left: 6 (21 enodes) 1540202245.452 * * [misc]simplify: iters left: 5 (34 enodes) 1540202245.457 * * [misc]simplify: iters left: 4 (56 enodes) 1540202245.466 * * [misc]simplify: iters left: 3 (113 enodes) 1540202245.494 * * [misc]simplify: iters left: 2 (289 enodes) 1540202245.708 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540202245.708 * [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))))))) 1540202245.708 * [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))))) 1540202245.708 * * [misc]simplify: iters left: 6 (20 enodes) 1540202245.711 * * [misc]simplify: iters left: 5 (29 enodes) 1540202245.715 * * [misc]simplify: iters left: 4 (48 enodes) 1540202245.722 * * [misc]simplify: iters left: 3 (96 enodes) 1540202245.742 * * [misc]simplify: iters left: 2 (183 enodes) 1540202245.780 * * [misc]simplify: iters left: 1 (321 enodes) 1540202245.880 * [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))))) 1540202245.880 * [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))))))) 1540202245.880 * * * * [misc]progress: [ 1094 / 6878 ] simplifiying candidate # 1540202245.880 * [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))) 1540202245.880 * * [misc]simplify: iters left: 6 (21 enodes) 1540202245.884 * * [misc]simplify: iters left: 5 (35 enodes) 1540202245.889 * * [misc]simplify: iters left: 4 (60 enodes) 1540202245.900 * * [misc]simplify: iters left: 3 (141 enodes) 1540202245.932 * * [misc]simplify: iters left: 2 (353 enodes) 1540202246.081 * [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)))))) 1540202246.081 * [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))))))) 1540202246.082 * [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))))) 1540202246.082 * * [misc]simplify: iters left: 6 (19 enodes) 1540202246.084 * * [misc]simplify: iters left: 5 (28 enodes) 1540202246.091 * * [misc]simplify: iters left: 4 (47 enodes) 1540202246.098 * * [misc]simplify: iters left: 3 (95 enodes) 1540202246.115 * * [misc]simplify: iters left: 2 (182 enodes) 1540202246.154 * * [misc]simplify: iters left: 1 (317 enodes) 1540202246.252 * [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)))))) 1540202246.253 * [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)))))))) 1540202246.253 * * * * [misc]progress: [ 1095 / 6878 ] simplifiying candidate # 1540202246.253 * [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))) 1540202246.253 * * [misc]simplify: iters left: 6 (21 enodes) 1540202246.257 * * [misc]simplify: iters left: 5 (35 enodes) 1540202246.263 * * [misc]simplify: iters left: 4 (60 enodes) 1540202246.275 * * [misc]simplify: iters left: 3 (141 enodes) 1540202246.305 * * [misc]simplify: iters left: 2 (353 enodes) 1540202246.460 * [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)))))) 1540202246.460 * [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))))))) 1540202246.460 * [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))))) 1540202246.460 * * [misc]simplify: iters left: 6 (19 enodes) 1540202246.463 * * [misc]simplify: iters left: 5 (28 enodes) 1540202246.467 * * [misc]simplify: iters left: 4 (47 enodes) 1540202246.474 * * [misc]simplify: iters left: 3 (95 enodes) 1540202246.491 * * [misc]simplify: iters left: 2 (182 enodes) 1540202246.531 * * [misc]simplify: iters left: 1 (317 enodes) 1540202246.632 * [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)))))) 1540202246.632 * [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)))))))) 1540202246.632 * * * * [misc]progress: [ 1096 / 6878 ] simplifiying candidate # 1540202246.633 * [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))))))) 1540202246.633 * * [misc]simplify: iters left: 6 (23 enodes) 1540202246.637 * * [misc]simplify: iters left: 5 (38 enodes) 1540202246.642 * * [misc]simplify: iters left: 4 (69 enodes) 1540202246.655 * * [misc]simplify: iters left: 3 (179 enodes) 1540202246.696 * * [misc]simplify: iters left: 2 (499 enodes) 1540202246.992 * [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))))))) 1540202246.992 * [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)))))))) 1540202246.992 * [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)))))) 1540202246.992 * * [misc]simplify: iters left: 6 (20 enodes) 1540202246.998 * * [misc]simplify: iters left: 5 (29 enodes) 1540202247.002 * * [misc]simplify: iters left: 4 (48 enodes) 1540202247.010 * * [misc]simplify: iters left: 3 (96 enodes) 1540202247.027 * * [misc]simplify: iters left: 2 (183 enodes) 1540202247.067 * * [misc]simplify: iters left: 1 (321 enodes) 1540202247.167 * [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)))))) 1540202247.167 * [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)))))))) 1540202247.168 * * * * [misc]progress: [ 1097 / 6878 ] simplifiying candidate # 1540202247.168 * [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)))))) 1540202247.168 * * [misc]simplify: iters left: 6 (22 enodes) 1540202247.173 * * [misc]simplify: iters left: 5 (35 enodes) 1540202247.178 * * [misc]simplify: iters left: 4 (60 enodes) 1540202247.188 * * [misc]simplify: iters left: 3 (141 enodes) 1540202247.217 * * [misc]simplify: iters left: 2 (357 enodes) 1540202247.355 * [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)))))) 1540202247.355 * [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)))))))) 1540202247.355 * [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)))))) 1540202247.355 * * [misc]simplify: iters left: 6 (20 enodes) 1540202247.361 * * [misc]simplify: iters left: 5 (29 enodes) 1540202247.365 * * [misc]simplify: iters left: 4 (48 enodes) 1540202247.372 * * [misc]simplify: iters left: 3 (96 enodes) 1540202247.390 * * [misc]simplify: iters left: 2 (183 enodes) 1540202247.430 * * [misc]simplify: iters left: 1 (321 enodes) 1540202247.530 * [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)))))) 1540202247.530 * [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)))))))) 1540202247.530 * * * * [misc]progress: [ 1098 / 6878 ] simplifiying candidate # 1540202247.530 * [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)) 1540202247.530 * * [misc]simplify: iters left: 6 (20 enodes) 1540202247.534 * * [misc]simplify: iters left: 5 (33 enodes) 1540202247.540 * * [misc]simplify: iters left: 4 (61 enodes) 1540202247.550 * * [misc]simplify: iters left: 3 (109 enodes) 1540202247.572 * * [misc]simplify: iters left: 2 (260 enodes) 1540202247.705 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202247.705 * [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))))))) 1540202247.705 * [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))))) 1540202247.705 * * [misc]simplify: iters left: 6 (19 enodes) 1540202247.708 * * [misc]simplify: iters left: 5 (28 enodes) 1540202247.712 * * [misc]simplify: iters left: 4 (47 enodes) 1540202247.720 * * [misc]simplify: iters left: 3 (95 enodes) 1540202247.738 * * [misc]simplify: iters left: 2 (182 enodes) 1540202247.777 * * [misc]simplify: iters left: 1 (317 enodes) 1540202247.876 * [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)))))) 1540202247.876 * [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)))))))) 1540202247.876 * * * * [misc]progress: [ 1099 / 6878 ] simplifiying candidate # 1540202247.876 * [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))) 1540202247.876 * * [misc]simplify: iters left: 6 (18 enodes) 1540202247.880 * * [misc]simplify: iters left: 5 (32 enodes) 1540202247.885 * * [misc]simplify: iters left: 4 (59 enodes) 1540202247.898 * * [misc]simplify: iters left: 3 (137 enodes) 1540202247.931 * * [misc]simplify: iters left: 2 (311 enodes) 1540202248.035 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt PI)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202248.035 * [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))))))) 1540202248.035 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202248.035 * * [misc]simplify: iters left: 6 (18 enodes) 1540202248.038 * * [misc]simplify: iters left: 5 (27 enodes) 1540202248.041 * * [misc]simplify: iters left: 4 (45 enodes) 1540202248.048 * * [misc]simplify: iters left: 3 (90 enodes) 1540202248.064 * * [misc]simplify: iters left: 2 (155 enodes) 1540202248.097 * * [misc]simplify: iters left: 1 (239 enodes) 1540202248.151 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202248.151 * [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))))))) 1540202248.151 * * * * [misc]progress: [ 1100 / 6878 ] simplifiying candidate # 1540202248.151 * [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))) 1540202248.151 * * [misc]simplify: iters left: 6 (18 enodes) 1540202248.155 * * [misc]simplify: iters left: 5 (32 enodes) 1540202248.160 * * [misc]simplify: iters left: 4 (59 enodes) 1540202248.171 * * [misc]simplify: iters left: 3 (137 enodes) 1540202248.206 * * [misc]simplify: iters left: 2 (311 enodes) 1540202248.306 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt PI)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202248.306 * [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))))))) 1540202248.306 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202248.306 * * [misc]simplify: iters left: 6 (18 enodes) 1540202248.309 * * [misc]simplify: iters left: 5 (27 enodes) 1540202248.313 * * [misc]simplify: iters left: 4 (45 enodes) 1540202248.320 * * [misc]simplify: iters left: 3 (90 enodes) 1540202248.340 * * [misc]simplify: iters left: 2 (155 enodes) 1540202248.370 * * [misc]simplify: iters left: 1 (239 enodes) 1540202248.425 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202248.425 * [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))))))) 1540202248.425 * * * * [misc]progress: [ 1101 / 6878 ] simplifiying candidate # 1540202248.425 * [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))))))) 1540202248.425 * * [misc]simplify: iters left: 6 (20 enodes) 1540202248.429 * * [misc]simplify: iters left: 5 (35 enodes) 1540202248.435 * * [misc]simplify: iters left: 4 (69 enodes) 1540202248.449 * * [misc]simplify: iters left: 3 (178 enodes) 1540202248.497 * * [misc]simplify: iters left: 2 (477 enodes) 1540202248.768 * [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))))))) 1540202248.769 * [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)))))))) 1540202248.769 * [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)))))) 1540202248.769 * * [misc]simplify: iters left: 6 (19 enodes) 1540202248.772 * * [misc]simplify: iters left: 5 (28 enodes) 1540202248.776 * * [misc]simplify: iters left: 4 (46 enodes) 1540202248.783 * * [misc]simplify: iters left: 3 (91 enodes) 1540202248.801 * * [misc]simplify: iters left: 2 (156 enodes) 1540202248.831 * * [misc]simplify: iters left: 1 (239 enodes) 1540202248.885 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202248.885 * [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)))))))) 1540202248.886 * * * * [misc]progress: [ 1102 / 6878 ] simplifiying candidate # 1540202248.886 * [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)))))) 1540202248.886 * * [misc]simplify: iters left: 6 (19 enodes) 1540202248.889 * * [misc]simplify: iters left: 5 (32 enodes) 1540202248.894 * * [misc]simplify: iters left: 4 (59 enodes) 1540202248.905 * * [misc]simplify: iters left: 3 (140 enodes) 1540202248.940 * * [misc]simplify: iters left: 2 (322 enodes) 1540202249.046 * [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))) 1540202249.046 * [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)))))))) 1540202249.046 * [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)))))) 1540202249.046 * * [misc]simplify: iters left: 6 (19 enodes) 1540202249.049 * * [misc]simplify: iters left: 5 (28 enodes) 1540202249.053 * * [misc]simplify: iters left: 4 (46 enodes) 1540202249.060 * * [misc]simplify: iters left: 3 (91 enodes) 1540202249.076 * * [misc]simplify: iters left: 2 (156 enodes) 1540202249.108 * * [misc]simplify: iters left: 1 (239 enodes) 1540202249.161 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202249.161 * [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)))))))) 1540202249.161 * * * * [misc]progress: [ 1103 / 6878 ] simplifiying candidate # 1540202249.162 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540202249.162 * * [misc]simplify: iters left: 6 (17 enodes) 1540202249.166 * * [misc]simplify: iters left: 5 (30 enodes) 1540202249.171 * * [misc]simplify: iters left: 4 (42 enodes) 1540202249.176 * * [misc]simplify: iters left: 3 (59 enodes) 1540202249.184 * * [misc]simplify: iters left: 2 (85 enodes) 1540202249.198 * * [misc]simplify: iters left: 1 (124 enodes) 1540202249.224 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202249.224 * [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))))))) 1540202249.225 * [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))))) 1540202249.225 * * [misc]simplify: iters left: 6 (18 enodes) 1540202249.227 * * [misc]simplify: iters left: 5 (27 enodes) 1540202249.232 * * [misc]simplify: iters left: 4 (45 enodes) 1540202249.239 * * [misc]simplify: iters left: 3 (90 enodes) 1540202249.255 * * [misc]simplify: iters left: 2 (155 enodes) 1540202249.287 * * [misc]simplify: iters left: 1 (239 enodes) 1540202249.341 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202249.342 * [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)))))))) 1540202249.342 * * * * [misc]progress: [ 1104 / 6878 ] simplifiying candidate # 1540202249.342 * [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))) 1540202249.342 * * [misc]simplify: iters left: 6 (21 enodes) 1540202249.346 * * [misc]simplify: iters left: 5 (35 enodes) 1540202249.351 * * [misc]simplify: iters left: 4 (60 enodes) 1540202249.363 * * [misc]simplify: iters left: 3 (141 enodes) 1540202249.394 * * [misc]simplify: iters left: 2 (353 enodes) 1540202249.547 * [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)))))) 1540202249.548 * [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))))))) 1540202249.548 * [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))))) 1540202249.548 * * [misc]simplify: iters left: 6 (19 enodes) 1540202249.550 * * [misc]simplify: iters left: 5 (28 enodes) 1540202249.554 * * [misc]simplify: iters left: 4 (47 enodes) 1540202249.562 * * [misc]simplify: iters left: 3 (95 enodes) 1540202249.579 * * [misc]simplify: iters left: 2 (182 enodes) 1540202249.619 * * [misc]simplify: iters left: 1 (317 enodes) 1540202249.719 * [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)))))) 1540202249.719 * [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)))))))) 1540202249.719 * * * * [misc]progress: [ 1105 / 6878 ] simplifiying candidate # 1540202249.719 * [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))) 1540202249.719 * * [misc]simplify: iters left: 6 (21 enodes) 1540202249.723 * * [misc]simplify: iters left: 5 (35 enodes) 1540202249.729 * * [misc]simplify: iters left: 4 (60 enodes) 1540202249.739 * * [misc]simplify: iters left: 3 (141 enodes) 1540202249.770 * * [misc]simplify: iters left: 2 (353 enodes) 1540202249.927 * [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)))))) 1540202249.927 * [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))))))) 1540202249.927 * [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))))) 1540202249.927 * * [misc]simplify: iters left: 6 (19 enodes) 1540202249.930 * * [misc]simplify: iters left: 5 (28 enodes) 1540202249.934 * * [misc]simplify: iters left: 4 (47 enodes) 1540202249.942 * * [misc]simplify: iters left: 3 (95 enodes) 1540202249.959 * * [misc]simplify: iters left: 2 (182 enodes) 1540202249.999 * * [misc]simplify: iters left: 1 (317 enodes) 1540202250.100 * [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)))))) 1540202250.100 * [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)))))))) 1540202250.101 * * * * [misc]progress: [ 1106 / 6878 ] simplifiying candidate # 1540202250.101 * [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))))))) 1540202250.101 * * [misc]simplify: iters left: 6 (23 enodes) 1540202250.105 * * [misc]simplify: iters left: 5 (38 enodes) 1540202250.110 * * [misc]simplify: iters left: 4 (69 enodes) 1540202250.123 * * [misc]simplify: iters left: 3 (179 enodes) 1540202250.165 * * [misc]simplify: iters left: 2 (499 enodes) 1540202250.467 * [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))))))) 1540202250.467 * [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)))))))) 1540202250.468 * [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)))))) 1540202250.468 * * [misc]simplify: iters left: 6 (20 enodes) 1540202250.471 * * [misc]simplify: iters left: 5 (29 enodes) 1540202250.475 * * [misc]simplify: iters left: 4 (48 enodes) 1540202250.482 * * [misc]simplify: iters left: 3 (96 enodes) 1540202250.500 * * [misc]simplify: iters left: 2 (183 enodes) 1540202250.539 * * [misc]simplify: iters left: 1 (321 enodes) 1540202250.641 * [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)))))) 1540202250.641 * [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)))))))) 1540202250.642 * * * * [misc]progress: [ 1107 / 6878 ] simplifiying candidate # 1540202250.642 * [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)))))) 1540202250.642 * * [misc]simplify: iters left: 6 (22 enodes) 1540202250.646 * * [misc]simplify: iters left: 5 (35 enodes) 1540202250.651 * * [misc]simplify: iters left: 4 (60 enodes) 1540202250.661 * * [misc]simplify: iters left: 3 (141 enodes) 1540202250.690 * * [misc]simplify: iters left: 2 (357 enodes) 1540202250.829 * [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)))))) 1540202250.829 * [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)))))))) 1540202250.830 * [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)))))) 1540202250.830 * * [misc]simplify: iters left: 6 (20 enodes) 1540202250.832 * * [misc]simplify: iters left: 5 (29 enodes) 1540202250.837 * * [misc]simplify: iters left: 4 (48 enodes) 1540202250.844 * * [misc]simplify: iters left: 3 (96 enodes) 1540202250.861 * * [misc]simplify: iters left: 2 (183 enodes) 1540202250.902 * * [misc]simplify: iters left: 1 (321 enodes) 1540202251.003 * [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)))))) 1540202251.003 * [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)))))))) 1540202251.003 * * * * [misc]progress: [ 1108 / 6878 ] simplifiying candidate # 1540202251.004 * [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)) 1540202251.004 * * [misc]simplify: iters left: 6 (20 enodes) 1540202251.007 * * [misc]simplify: iters left: 5 (33 enodes) 1540202251.013 * * [misc]simplify: iters left: 4 (61 enodes) 1540202251.023 * * [misc]simplify: iters left: 3 (109 enodes) 1540202251.044 * * [misc]simplify: iters left: 2 (260 enodes) 1540202251.179 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202251.179 * [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))))))) 1540202251.179 * [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))))) 1540202251.179 * * [misc]simplify: iters left: 6 (19 enodes) 1540202251.182 * * [misc]simplify: iters left: 5 (28 enodes) 1540202251.186 * * [misc]simplify: iters left: 4 (47 enodes) 1540202251.193 * * [misc]simplify: iters left: 3 (95 enodes) 1540202251.210 * * [misc]simplify: iters left: 2 (182 enodes) 1540202251.249 * * [misc]simplify: iters left: 1 (317 enodes) 1540202251.348 * [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)))))) 1540202251.348 * [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)))))))) 1540202251.348 * * * * [misc]progress: [ 1109 / 6878 ] simplifiying candidate # 1540202251.349 * [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))) 1540202251.350 * * [misc]simplify: iters left: 6 (18 enodes) 1540202251.353 * * [misc]simplify: iters left: 5 (32 enodes) 1540202251.359 * * [misc]simplify: iters left: 4 (54 enodes) 1540202251.368 * * [misc]simplify: iters left: 3 (105 enodes) 1540202251.389 * * [misc]simplify: iters left: 2 (240 enodes) 1540202251.477 * * [misc]simplify: iters left: 1 (451 enodes) 1540202251.690 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt 2) (sqrt PI))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202251.690 * [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))))))) 1540202251.691 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202251.691 * * [misc]simplify: iters left: 6 (18 enodes) 1540202251.693 * * [misc]simplify: iters left: 5 (27 enodes) 1540202251.697 * * [misc]simplify: iters left: 4 (45 enodes) 1540202251.704 * * [misc]simplify: iters left: 3 (90 enodes) 1540202251.722 * * [misc]simplify: iters left: 2 (155 enodes) 1540202251.753 * * [misc]simplify: iters left: 1 (239 enodes) 1540202251.807 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202251.807 * [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))))))) 1540202251.808 * * * * [misc]progress: [ 1110 / 6878 ] simplifiying candidate # 1540202251.808 * [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))) 1540202251.808 * * [misc]simplify: iters left: 6 (18 enodes) 1540202251.812 * * [misc]simplify: iters left: 5 (32 enodes) 1540202251.817 * * [misc]simplify: iters left: 4 (54 enodes) 1540202251.826 * * [misc]simplify: iters left: 3 (105 enodes) 1540202251.849 * * [misc]simplify: iters left: 2 (240 enodes) 1540202251.923 * * [misc]simplify: iters left: 1 (451 enodes) 1540202252.134 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt 2) (sqrt PI))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202252.134 * [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))))))) 1540202252.134 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202252.134 * * [misc]simplify: iters left: 6 (18 enodes) 1540202252.136 * * [misc]simplify: iters left: 5 (27 enodes) 1540202252.140 * * [misc]simplify: iters left: 4 (45 enodes) 1540202252.148 * * [misc]simplify: iters left: 3 (90 enodes) 1540202252.164 * * [misc]simplify: iters left: 2 (155 enodes) 1540202252.198 * * [misc]simplify: iters left: 1 (239 enodes) 1540202252.251 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202252.251 * [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))))))) 1540202252.251 * * * * [misc]progress: [ 1111 / 6878 ] simplifiying candidate # 1540202252.251 * [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))))))) 1540202252.252 * * [misc]simplify: iters left: 6 (20 enodes) 1540202252.255 * * [misc]simplify: iters left: 5 (35 enodes) 1540202252.260 * * [misc]simplify: iters left: 4 (63 enodes) 1540202252.271 * * [misc]simplify: iters left: 3 (140 enodes) 1540202252.304 * * [misc]simplify: iters left: 2 (385 enodes) 1540202252.521 * [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))))))) 1540202252.521 * [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)))))))) 1540202252.522 * [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)))))) 1540202252.522 * * [misc]simplify: iters left: 6 (19 enodes) 1540202252.524 * * [misc]simplify: iters left: 5 (28 enodes) 1540202252.528 * * [misc]simplify: iters left: 4 (46 enodes) 1540202252.536 * * [misc]simplify: iters left: 3 (91 enodes) 1540202252.554 * * [misc]simplify: iters left: 2 (156 enodes) 1540202252.585 * * [misc]simplify: iters left: 1 (239 enodes) 1540202252.639 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202252.639 * [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)))))))) 1540202252.639 * * * * [misc]progress: [ 1112 / 6878 ] simplifiying candidate # 1540202252.640 * [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)))))) 1540202252.640 * * [misc]simplify: iters left: 6 (19 enodes) 1540202252.643 * * [misc]simplify: iters left: 5 (32 enodes) 1540202252.648 * * [misc]simplify: iters left: 4 (54 enodes) 1540202252.656 * * [misc]simplify: iters left: 3 (105 enodes) 1540202252.678 * * [misc]simplify: iters left: 2 (243 enodes) 1540202252.751 * * [misc]simplify: iters left: 1 (448 enodes) 1540202253.006 * [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)))))) 1540202253.006 * [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)))))))) 1540202253.006 * [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)))))) 1540202253.006 * * [misc]simplify: iters left: 6 (19 enodes) 1540202253.009 * * [misc]simplify: iters left: 5 (28 enodes) 1540202253.012 * * [misc]simplify: iters left: 4 (46 enodes) 1540202253.020 * * [misc]simplify: iters left: 3 (91 enodes) 1540202253.036 * * [misc]simplify: iters left: 2 (156 enodes) 1540202253.068 * * [misc]simplify: iters left: 1 (239 enodes) 1540202253.121 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202253.121 * [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)))))))) 1540202253.121 * * * * [misc]progress: [ 1113 / 6878 ] simplifiying candidate # 1540202253.121 * [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)) 1540202253.121 * * [misc]simplify: iters left: 6 (17 enodes) 1540202253.124 * * [misc]simplify: iters left: 5 (28 enodes) 1540202253.129 * * [misc]simplify: iters left: 4 (38 enodes) 1540202253.134 * * [misc]simplify: iters left: 3 (52 enodes) 1540202253.140 * * [misc]simplify: iters left: 2 (66 enodes) 1540202253.148 * * [misc]simplify: iters left: 1 (85 enodes) 1540202253.161 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202253.161 * [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))))))) 1540202253.161 * [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))))) 1540202253.161 * * [misc]simplify: iters left: 6 (18 enodes) 1540202253.164 * * [misc]simplify: iters left: 5 (27 enodes) 1540202253.168 * * [misc]simplify: iters left: 4 (45 enodes) 1540202253.175 * * [misc]simplify: iters left: 3 (90 enodes) 1540202253.191 * * [misc]simplify: iters left: 2 (155 enodes) 1540202253.223 * * [misc]simplify: iters left: 1 (239 enodes) 1540202253.278 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202253.278 * [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)))))))) 1540202253.278 * * * * [misc]progress: [ 1114 / 6878 ] simplifiying candidate # 1540202253.278 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1) 1540202253.279 * * [misc]simplify: iters left: 6 (16 enodes) 1540202253.282 * * [misc]simplify: iters left: 5 (27 enodes) 1540202253.286 * * [misc]simplify: iters left: 4 (43 enodes) 1540202253.291 * * [misc]simplify: iters left: 3 (58 enodes) 1540202253.299 * * [misc]simplify: iters left: 2 (78 enodes) 1540202253.309 * * [misc]simplify: iters left: 1 (117 enodes) 1540202253.331 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt PI)) 1540202253.331 * [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))))))) 1540202253.332 * [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))))) 1540202253.332 * * [misc]simplify: iters left: 6 (18 enodes) 1540202253.334 * * [misc]simplify: iters left: 5 (27 enodes) 1540202253.338 * * [misc]simplify: iters left: 4 (45 enodes) 1540202253.345 * * [misc]simplify: iters left: 3 (90 enodes) 1540202253.361 * * [misc]simplify: iters left: 2 (155 enodes) 1540202253.393 * * [misc]simplify: iters left: 1 (239 enodes) 1540202253.448 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202253.448 * [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)))))))) 1540202253.448 * * * * [misc]progress: [ 1115 / 6878 ] simplifiying candidate # 1540202253.448 * [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))) 1540202253.448 * * [misc]simplify: iters left: 6 (18 enodes) 1540202253.451 * * [misc]simplify: iters left: 5 (29 enodes) 1540202253.455 * * [misc]simplify: iters left: 4 (46 enodes) 1540202253.463 * * [misc]simplify: iters left: 3 (95 enodes) 1540202253.480 * * [misc]simplify: iters left: 2 (203 enodes) 1540202253.523 * * [misc]simplify: iters left: 1 (367 enodes) 1540202253.645 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540202253.645 * [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))))))) 1540202253.645 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202253.645 * * [misc]simplify: iters left: 6 (19 enodes) 1540202253.648 * * [misc]simplify: iters left: 5 (30 enodes) 1540202253.652 * * [misc]simplify: iters left: 4 (47 enodes) 1540202253.659 * * [misc]simplify: iters left: 3 (99 enodes) 1540202253.677 * * [misc]simplify: iters left: 2 (206 enodes) 1540202253.740 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202253.740 * [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))))))) 1540202253.741 * * * * [misc]progress: [ 1116 / 6878 ] simplifiying candidate # 1540202253.741 * [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))) 1540202253.741 * * [misc]simplify: iters left: 6 (20 enodes) 1540202253.745 * * [misc]simplify: iters left: 5 (34 enodes) 1540202253.750 * * [misc]simplify: iters left: 4 (59 enodes) 1540202253.760 * * [misc]simplify: iters left: 3 (140 enodes) 1540202253.792 * * [misc]simplify: iters left: 2 (348 enodes) 1540202253.936 * [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)))) 1540202253.936 * [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))))) 1540202253.936 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202253.937 * * [misc]simplify: iters left: 6 (17 enodes) 1540202253.939 * * [misc]simplify: iters left: 5 (24 enodes) 1540202253.942 * * [misc]simplify: iters left: 4 (35 enodes) 1540202253.949 * * [misc]simplify: iters left: 3 (50 enodes) 1540202253.956 * * [misc]simplify: iters left: 2 (67 enodes) 1540202253.965 * * [misc]simplify: iters left: 1 (84 enodes) 1540202253.976 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202253.976 * [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))))))) 1540202253.976 * * * * [misc]progress: [ 1117 / 6878 ] simplifiying candidate # 1540202253.976 * [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))))))) 1540202253.977 * * [misc]simplify: iters left: 6 (21 enodes) 1540202253.980 * * [misc]simplify: iters left: 5 (32 enodes) 1540202253.984 * * [misc]simplify: iters left: 4 (52 enodes) 1540202253.992 * * [misc]simplify: iters left: 3 (91 enodes) 1540202254.008 * * [misc]simplify: iters left: 2 (202 enodes) 1540202254.063 * * [misc]simplify: iters left: 1 (481 enodes) 1540202254.229 * [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))))))) 1540202254.229 * [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)))))))) 1540202254.230 * [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)))))) 1540202254.230 * * [misc]simplify: iters left: 6 (19 enodes) 1540202254.232 * * [misc]simplify: iters left: 5 (26 enodes) 1540202254.236 * * [misc]simplify: iters left: 4 (37 enodes) 1540202254.241 * * [misc]simplify: iters left: 3 (52 enodes) 1540202254.248 * * [misc]simplify: iters left: 2 (69 enodes) 1540202254.259 * * [misc]simplify: iters left: 1 (86 enodes) 1540202254.270 * [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)))))) 1540202254.270 * [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)))))))) 1540202254.271 * * * * [misc]progress: [ 1118 / 6878 ] simplifiying candidate # 1540202254.271 * [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)))))) 1540202254.271 * * [misc]simplify: iters left: 6 (20 enodes) 1540202254.274 * * [misc]simplify: iters left: 5 (29 enodes) 1540202254.278 * * [misc]simplify: iters left: 4 (41 enodes) 1540202254.284 * * [misc]simplify: iters left: 3 (66 enodes) 1540202254.294 * * [misc]simplify: iters left: 2 (98 enodes) 1540202254.305 * * [misc]simplify: iters left: 1 (144 enodes) 1540202254.326 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202254.326 * [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)))))))) 1540202254.326 * [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)))))) 1540202254.326 * * [misc]simplify: iters left: 6 (19 enodes) 1540202254.329 * * [misc]simplify: iters left: 5 (26 enodes) 1540202254.332 * * [misc]simplify: iters left: 4 (37 enodes) 1540202254.337 * * [misc]simplify: iters left: 3 (52 enodes) 1540202254.344 * * [misc]simplify: iters left: 2 (69 enodes) 1540202254.353 * * [misc]simplify: iters left: 1 (86 enodes) 1540202254.364 * [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)))))) 1540202254.364 * [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)))))))) 1540202254.365 * * * * [misc]progress: [ 1119 / 6878 ] simplifiying candidate # 1540202254.365 * [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))) 1540202254.365 * * [misc]simplify: iters left: 6 (21 enodes) 1540202254.369 * * [misc]simplify: iters left: 5 (35 enodes) 1540202254.374 * * [misc]simplify: iters left: 4 (65 enodes) 1540202254.386 * * [misc]simplify: iters left: 3 (162 enodes) 1540202254.426 * * [misc]simplify: iters left: 2 (496 enodes) 1540202254.838 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202254.838 * [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))))))) 1540202254.839 * [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))))) 1540202254.839 * * [misc]simplify: iters left: 6 (19 enodes) 1540202254.841 * * [misc]simplify: iters left: 5 (28 enodes) 1540202254.846 * * [misc]simplify: iters left: 4 (47 enodes) 1540202254.853 * * [misc]simplify: iters left: 3 (95 enodes) 1540202254.870 * * [misc]simplify: iters left: 2 (182 enodes) 1540202254.911 * * [misc]simplify: iters left: 1 (317 enodes) 1540202255.012 * [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)))))) 1540202255.012 * [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)))))))) 1540202255.012 * * * * [misc]progress: [ 1120 / 6878 ] simplifiying candidate # 1540202255.012 * [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))) 1540202255.012 * * [misc]simplify: iters left: 6 (21 enodes) 1540202255.016 * * [misc]simplify: iters left: 5 (35 enodes) 1540202255.022 * * [misc]simplify: iters left: 4 (65 enodes) 1540202255.034 * * [misc]simplify: iters left: 3 (162 enodes) 1540202255.075 * * [misc]simplify: iters left: 2 (496 enodes) 1540202255.469 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202255.469 * [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))))))) 1540202255.470 * [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))))) 1540202255.470 * * [misc]simplify: iters left: 6 (19 enodes) 1540202255.472 * * [misc]simplify: iters left: 5 (28 enodes) 1540202255.476 * * [misc]simplify: iters left: 4 (47 enodes) 1540202255.484 * * [misc]simplify: iters left: 3 (95 enodes) 1540202255.501 * * [misc]simplify: iters left: 2 (182 enodes) 1540202255.541 * * [misc]simplify: iters left: 1 (317 enodes) 1540202255.642 * [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)))))) 1540202255.642 * [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)))))))) 1540202255.642 * * * * [misc]progress: [ 1121 / 6878 ] simplifiying candidate # 1540202255.642 * [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))))))) 1540202255.643 * * [misc]simplify: iters left: 6 (23 enodes) 1540202255.646 * * [misc]simplify: iters left: 5 (40 enodes) 1540202255.653 * * [misc]simplify: iters left: 4 (90 enodes) 1540202255.672 * * [misc]simplify: iters left: 3 (252 enodes) 1540202255.762 * [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))))))) 1540202255.762 * [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)))))))) 1540202255.762 * [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)))))) 1540202255.762 * * [misc]simplify: iters left: 6 (20 enodes) 1540202255.765 * * [misc]simplify: iters left: 5 (29 enodes) 1540202255.769 * * [misc]simplify: iters left: 4 (48 enodes) 1540202255.779 * * [misc]simplify: iters left: 3 (96 enodes) 1540202255.797 * * [misc]simplify: iters left: 2 (183 enodes) 1540202255.836 * * [misc]simplify: iters left: 1 (321 enodes) 1540202255.938 * [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)))))) 1540202255.938 * [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)))))))) 1540202255.938 * * * * [misc]progress: [ 1122 / 6878 ] simplifiying candidate # 1540202255.938 * [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)))))) 1540202255.939 * * [misc]simplify: iters left: 6 (22 enodes) 1540202255.942 * * [misc]simplify: iters left: 5 (35 enodes) 1540202255.947 * * [misc]simplify: iters left: 4 (65 enodes) 1540202255.961 * * [misc]simplify: iters left: 3 (162 enodes) 1540202256.017 * * [misc]simplify: iters left: 2 (496 enodes) 1540202256.337 * [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)))))) 1540202256.337 * [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)))))))) 1540202256.337 * [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)))))) 1540202256.338 * * [misc]simplify: iters left: 6 (20 enodes) 1540202256.340 * * [misc]simplify: iters left: 5 (29 enodes) 1540202256.344 * * [misc]simplify: iters left: 4 (48 enodes) 1540202256.352 * * [misc]simplify: iters left: 3 (96 enodes) 1540202256.369 * * [misc]simplify: iters left: 2 (183 enodes) 1540202256.409 * * [misc]simplify: iters left: 1 (321 enodes) 1540202256.510 * [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)))))) 1540202256.510 * [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)))))))) 1540202256.510 * * * * [misc]progress: [ 1123 / 6878 ] simplifiying candidate # 1540202256.511 * [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)) 1540202256.511 * * [misc]simplify: iters left: 6 (20 enodes) 1540202256.514 * * [misc]simplify: iters left: 5 (33 enodes) 1540202256.520 * * [misc]simplify: iters left: 4 (64 enodes) 1540202256.530 * * [misc]simplify: iters left: 3 (131 enodes) 1540202256.570 * * [misc]simplify: iters left: 2 (439 enodes) 1540202256.852 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540202256.852 * [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))))))) 1540202256.852 * [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))))) 1540202256.852 * * [misc]simplify: iters left: 6 (19 enodes) 1540202256.855 * * [misc]simplify: iters left: 5 (28 enodes) 1540202256.859 * * [misc]simplify: iters left: 4 (47 enodes) 1540202256.866 * * [misc]simplify: iters left: 3 (95 enodes) 1540202256.883 * * [misc]simplify: iters left: 2 (182 enodes) 1540202256.924 * * [misc]simplify: iters left: 1 (317 enodes) 1540202257.024 * [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)))))) 1540202257.024 * [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)))))))) 1540202257.024 * * * * [misc]progress: [ 1124 / 6878 ] simplifiying candidate # 1540202257.024 * [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))) 1540202257.024 * * [misc]simplify: iters left: 6 (21 enodes) 1540202257.028 * * [misc]simplify: iters left: 5 (34 enodes) 1540202257.033 * * [misc]simplify: iters left: 4 (54 enodes) 1540202257.042 * * [misc]simplify: iters left: 3 (100 enodes) 1540202257.060 * * [misc]simplify: iters left: 2 (211 enodes) 1540202257.114 * * [misc]simplify: iters left: 1 (421 enodes) 1540202257.247 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540202257.247 * [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))))))) 1540202257.247 * [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))))) 1540202257.247 * * [misc]simplify: iters left: 6 (20 enodes) 1540202257.252 * * [misc]simplify: iters left: 5 (29 enodes) 1540202257.256 * * [misc]simplify: iters left: 4 (48 enodes) 1540202257.263 * * [misc]simplify: iters left: 3 (96 enodes) 1540202257.281 * * [misc]simplify: iters left: 2 (183 enodes) 1540202257.332 * * [misc]simplify: iters left: 1 (321 enodes) 1540202257.441 * [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)))) 1540202257.441 * [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)))))) 1540202257.441 * * * * [misc]progress: [ 1125 / 6878 ] simplifiying candidate # 1540202257.442 * [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))) 1540202257.442 * * [misc]simplify: iters left: 6 (21 enodes) 1540202257.446 * * [misc]simplify: iters left: 5 (34 enodes) 1540202257.452 * * [misc]simplify: iters left: 4 (54 enodes) 1540202257.461 * * [misc]simplify: iters left: 3 (100 enodes) 1540202257.479 * * [misc]simplify: iters left: 2 (211 enodes) 1540202257.561 * * [misc]simplify: iters left: 1 (421 enodes) 1540202257.694 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540202257.694 * [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))))))) 1540202257.694 * [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))))) 1540202257.694 * * [misc]simplify: iters left: 6 (20 enodes) 1540202257.697 * * [misc]simplify: iters left: 5 (29 enodes) 1540202257.701 * * [misc]simplify: iters left: 4 (48 enodes) 1540202257.709 * * [misc]simplify: iters left: 3 (96 enodes) 1540202257.728 * * [misc]simplify: iters left: 2 (183 enodes) 1540202257.766 * * [misc]simplify: iters left: 1 (321 enodes) 1540202257.868 * [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)))) 1540202257.868 * [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)))))) 1540202257.868 * * * * [misc]progress: [ 1126 / 6878 ] simplifiying candidate # 1540202257.868 * [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))))))) 1540202257.868 * * [misc]simplify: iters left: 6 (23 enodes) 1540202257.872 * * [misc]simplify: iters left: 5 (37 enodes) 1540202257.877 * * [misc]simplify: iters left: 4 (63 enodes) 1540202257.888 * * [misc]simplify: iters left: 3 (136 enodes) 1540202257.918 * * [misc]simplify: iters left: 2 (335 enodes) 1540202258.340 * [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)))))) 1540202258.340 * [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)))))))) 1540202258.340 * [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)))))) 1540202258.340 * * [misc]simplify: iters left: 6 (21 enodes) 1540202258.343 * * [misc]simplify: iters left: 5 (30 enodes) 1540202258.347 * * [misc]simplify: iters left: 4 (49 enodes) 1540202258.355 * * [misc]simplify: iters left: 3 (97 enodes) 1540202258.373 * * [misc]simplify: iters left: 2 (184 enodes) 1540202258.413 * * [misc]simplify: iters left: 1 (321 enodes) 1540202258.513 * [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)))) 1540202258.514 * [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)))))) 1540202258.514 * * * * [misc]progress: [ 1127 / 6878 ] simplifiying candidate # 1540202258.514 * [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)))))) 1540202258.514 * * [misc]simplify: iters left: 6 (22 enodes) 1540202258.518 * * [misc]simplify: iters left: 5 (34 enodes) 1540202258.522 * * [misc]simplify: iters left: 4 (54 enodes) 1540202258.531 * * [misc]simplify: iters left: 3 (100 enodes) 1540202258.548 * * [misc]simplify: iters left: 2 (212 enodes) 1540202258.598 * * [misc]simplify: iters left: 1 (452 enodes) 1540202258.781 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540202258.781 * [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)))))))) 1540202258.781 * [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)))))) 1540202258.782 * * [misc]simplify: iters left: 6 (21 enodes) 1540202258.785 * * [misc]simplify: iters left: 5 (30 enodes) 1540202258.789 * * [misc]simplify: iters left: 4 (49 enodes) 1540202258.796 * * [misc]simplify: iters left: 3 (97 enodes) 1540202258.814 * * [misc]simplify: iters left: 2 (184 enodes) 1540202258.855 * * [misc]simplify: iters left: 1 (321 enodes) 1540202258.955 * [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)))) 1540202258.955 * [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)))))) 1540202258.955 * * * * [misc]progress: [ 1128 / 6878 ] simplifiying candidate # 1540202258.955 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202258.955 * * [misc]simplify: iters left: 6 (20 enodes) 1540202258.958 * * [misc]simplify: iters left: 5 (31 enodes) 1540202258.963 * * [misc]simplify: iters left: 4 (48 enodes) 1540202258.970 * * [misc]simplify: iters left: 3 (81 enodes) 1540202258.987 * * [misc]simplify: iters left: 2 (149 enodes) 1540202259.035 * * [misc]simplify: iters left: 1 (308 enodes) 1540202259.131 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202259.132 * [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))))))) 1540202259.132 * [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))))) 1540202259.132 * * [misc]simplify: iters left: 6 (20 enodes) 1540202259.135 * * [misc]simplify: iters left: 5 (29 enodes) 1540202259.138 * * [misc]simplify: iters left: 4 (48 enodes) 1540202259.146 * * [misc]simplify: iters left: 3 (96 enodes) 1540202259.163 * * [misc]simplify: iters left: 2 (183 enodes) 1540202259.202 * * [misc]simplify: iters left: 1 (321 enodes) 1540202259.304 * [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))))) 1540202259.304 * [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))))))) 1540202259.304 * * * * [misc]progress: [ 1129 / 6878 ] simplifiying candidate # 1540202259.304 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202259.304 * * [misc]simplify: iters left: 6 (20 enodes) 1540202259.308 * * [misc]simplify: iters left: 5 (32 enodes) 1540202259.313 * * [misc]simplify: iters left: 4 (52 enodes) 1540202259.321 * * [misc]simplify: iters left: 3 (98 enodes) 1540202259.339 * * [misc]simplify: iters left: 2 (235 enodes) 1540202259.422 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) 1540202259.422 * [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))))))) 1540202259.423 * [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))))) 1540202259.423 * * [misc]simplify: iters left: 6 (19 enodes) 1540202259.425 * * [misc]simplify: iters left: 5 (28 enodes) 1540202259.429 * * [misc]simplify: iters left: 4 (47 enodes) 1540202259.437 * * [misc]simplify: iters left: 3 (95 enodes) 1540202259.454 * * [misc]simplify: iters left: 2 (182 enodes) 1540202259.494 * * [misc]simplify: iters left: 1 (317 enodes) 1540202259.593 * [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)))))) 1540202259.593 * [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)))))))) 1540202259.594 * * * * [misc]progress: [ 1130 / 6878 ] simplifiying candidate # 1540202259.594 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202259.594 * * [misc]simplify: iters left: 6 (20 enodes) 1540202259.598 * * [misc]simplify: iters left: 5 (32 enodes) 1540202259.602 * * [misc]simplify: iters left: 4 (52 enodes) 1540202259.610 * * [misc]simplify: iters left: 3 (98 enodes) 1540202259.629 * * [misc]simplify: iters left: 2 (235 enodes) 1540202259.709 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) 1540202259.709 * [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))))))) 1540202259.710 * [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))))) 1540202259.710 * * [misc]simplify: iters left: 6 (19 enodes) 1540202259.713 * * [misc]simplify: iters left: 5 (28 enodes) 1540202259.717 * * [misc]simplify: iters left: 4 (47 enodes) 1540202259.726 * * [misc]simplify: iters left: 3 (95 enodes) 1540202259.743 * * [misc]simplify: iters left: 2 (182 enodes) 1540202259.782 * * [misc]simplify: iters left: 1 (317 enodes) 1540202259.881 * [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)))))) 1540202259.881 * [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)))))))) 1540202259.881 * * * * [misc]progress: [ 1131 / 6878 ] simplifiying candidate # 1540202259.881 * [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))))))) 1540202259.881 * * [misc]simplify: iters left: 6 (22 enodes) 1540202259.885 * * [misc]simplify: iters left: 5 (35 enodes) 1540202259.890 * * [misc]simplify: iters left: 4 (61 enodes) 1540202259.902 * * [misc]simplify: iters left: 3 (134 enodes) 1540202259.929 * * [misc]simplify: iters left: 2 (335 enodes) 1540202260.068 * [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)))))) 1540202260.068 * [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)))))))) 1540202260.068 * [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)))))) 1540202260.068 * * [misc]simplify: iters left: 6 (20 enodes) 1540202260.071 * * [misc]simplify: iters left: 5 (29 enodes) 1540202260.075 * * [misc]simplify: iters left: 4 (48 enodes) 1540202260.082 * * [misc]simplify: iters left: 3 (96 enodes) 1540202260.102 * * [misc]simplify: iters left: 2 (183 enodes) 1540202260.141 * * [misc]simplify: iters left: 1 (321 enodes) 1540202260.242 * [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)))))) 1540202260.242 * [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)))))))) 1540202260.243 * * * * [misc]progress: [ 1132 / 6878 ] simplifiying candidate # 1540202260.243 * [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)))))) 1540202260.243 * * [misc]simplify: iters left: 6 (21 enodes) 1540202260.246 * * [misc]simplify: iters left: 5 (32 enodes) 1540202260.251 * * [misc]simplify: iters left: 4 (52 enodes) 1540202260.259 * * [misc]simplify: iters left: 3 (98 enodes) 1540202260.279 * * [misc]simplify: iters left: 2 (236 enodes) 1540202260.352 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540202260.352 * [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)))))))) 1540202260.353 * [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)))))) 1540202260.353 * * [misc]simplify: iters left: 6 (20 enodes) 1540202260.355 * * [misc]simplify: iters left: 5 (29 enodes) 1540202260.360 * * [misc]simplify: iters left: 4 (48 enodes) 1540202260.367 * * [misc]simplify: iters left: 3 (96 enodes) 1540202260.393 * * [misc]simplify: iters left: 2 (183 enodes) 1540202260.446 * * [misc]simplify: iters left: 1 (321 enodes) 1540202260.574 * [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)))))) 1540202260.574 * [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)))))))) 1540202260.574 * * * * [misc]progress: [ 1133 / 6878 ] simplifiying candidate # 1540202260.575 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202260.575 * * [misc]simplify: iters left: 6 (19 enodes) 1540202260.578 * * [misc]simplify: iters left: 5 (30 enodes) 1540202260.583 * * [misc]simplify: iters left: 4 (53 enodes) 1540202260.590 * * [misc]simplify: iters left: 3 (81 enodes) 1540202260.608 * * [misc]simplify: iters left: 2 (145 enodes) 1540202260.653 * * [misc]simplify: iters left: 1 (215 enodes) 1540202260.727 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202260.727 * [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))))))) 1540202260.728 * [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))))) 1540202260.728 * * [misc]simplify: iters left: 6 (19 enodes) 1540202260.734 * * [misc]simplify: iters left: 5 (28 enodes) 1540202260.742 * * [misc]simplify: iters left: 4 (47 enodes) 1540202260.750 * * [misc]simplify: iters left: 3 (95 enodes) 1540202260.767 * * [misc]simplify: iters left: 2 (182 enodes) 1540202260.810 * * [misc]simplify: iters left: 1 (317 enodes) 1540202260.987 * [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)))))) 1540202260.987 * [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)))))))) 1540202260.987 * * * * [misc]progress: [ 1134 / 6878 ] simplifiying candidate # 1540202260.987 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202260.987 * * [misc]simplify: iters left: 6 (17 enodes) 1540202260.991 * * [misc]simplify: iters left: 5 (29 enodes) 1540202260.995 * * [misc]simplify: iters left: 4 (51 enodes) 1540202261.005 * * [misc]simplify: iters left: 3 (107 enodes) 1540202261.022 * * [misc]simplify: iters left: 2 (151 enodes) 1540202261.046 * * [misc]simplify: iters left: 1 (253 enodes) 1540202261.108 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202261.108 * [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))))))) 1540202261.109 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202261.109 * * [misc]simplify: iters left: 6 (18 enodes) 1540202261.112 * * [misc]simplify: iters left: 5 (27 enodes) 1540202261.116 * * [misc]simplify: iters left: 4 (45 enodes) 1540202261.123 * * [misc]simplify: iters left: 3 (90 enodes) 1540202261.140 * * [misc]simplify: iters left: 2 (155 enodes) 1540202261.171 * * [misc]simplify: iters left: 1 (239 enodes) 1540202261.225 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202261.225 * [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))))))) 1540202261.225 * * * * [misc]progress: [ 1135 / 6878 ] simplifiying candidate # 1540202261.225 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202261.225 * * [misc]simplify: iters left: 6 (17 enodes) 1540202261.229 * * [misc]simplify: iters left: 5 (29 enodes) 1540202261.235 * * [misc]simplify: iters left: 4 (51 enodes) 1540202261.244 * * [misc]simplify: iters left: 3 (107 enodes) 1540202261.261 * * [misc]simplify: iters left: 2 (151 enodes) 1540202261.285 * * [misc]simplify: iters left: 1 (253 enodes) 1540202261.347 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202261.347 * [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))))))) 1540202261.347 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202261.348 * * [misc]simplify: iters left: 6 (18 enodes) 1540202261.350 * * [misc]simplify: iters left: 5 (27 enodes) 1540202261.354 * * [misc]simplify: iters left: 4 (45 enodes) 1540202261.361 * * [misc]simplify: iters left: 3 (90 enodes) 1540202261.378 * * [misc]simplify: iters left: 2 (155 enodes) 1540202261.409 * * [misc]simplify: iters left: 1 (239 enodes) 1540202261.463 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202261.463 * [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))))))) 1540202261.463 * * * * [misc]progress: [ 1136 / 6878 ] simplifiying candidate # 1540202261.463 * [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))))))) 1540202261.463 * * [misc]simplify: iters left: 6 (19 enodes) 1540202261.467 * * [misc]simplify: iters left: 5 (32 enodes) 1540202261.471 * * [misc]simplify: iters left: 4 (61 enodes) 1540202261.483 * * [misc]simplify: iters left: 3 (164 enodes) 1540202261.525 * * [misc]simplify: iters left: 2 (375 enodes) 1540202261.671 * [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)))))) 1540202261.671 * [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)))))))) 1540202261.672 * [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)))))) 1540202261.672 * * [misc]simplify: iters left: 6 (19 enodes) 1540202261.674 * * [misc]simplify: iters left: 5 (28 enodes) 1540202261.678 * * [misc]simplify: iters left: 4 (46 enodes) 1540202261.685 * * [misc]simplify: iters left: 3 (91 enodes) 1540202261.702 * * [misc]simplify: iters left: 2 (156 enodes) 1540202261.734 * * [misc]simplify: iters left: 1 (239 enodes) 1540202261.788 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202261.788 * [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)))))))) 1540202261.788 * * * * [misc]progress: [ 1137 / 6878 ] simplifiying candidate # 1540202261.789 * [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)))))) 1540202261.789 * * [misc]simplify: iters left: 6 (18 enodes) 1540202261.792 * * [misc]simplify: iters left: 5 (29 enodes) 1540202261.796 * * [misc]simplify: iters left: 4 (51 enodes) 1540202261.805 * * [misc]simplify: iters left: 3 (112 enodes) 1540202261.825 * * [misc]simplify: iters left: 2 (217 enodes) 1540202261.869 * * [misc]simplify: iters left: 1 (368 enodes) 1540202261.976 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) 1540202261.976 * [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)))))))) 1540202261.976 * [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)))))) 1540202261.976 * * [misc]simplify: iters left: 6 (19 enodes) 1540202261.979 * * [misc]simplify: iters left: 5 (28 enodes) 1540202261.983 * * [misc]simplify: iters left: 4 (46 enodes) 1540202261.990 * * [misc]simplify: iters left: 3 (91 enodes) 1540202262.006 * * [misc]simplify: iters left: 2 (156 enodes) 1540202262.039 * * [misc]simplify: iters left: 1 (239 enodes) 1540202262.092 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202262.092 * [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)))))))) 1540202262.093 * * * * [misc]progress: [ 1138 / 6878 ] simplifiying candidate # 1540202262.093 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540202262.093 * * [misc]simplify: iters left: 6 (16 enodes) 1540202262.096 * * [misc]simplify: iters left: 5 (27 enodes) 1540202262.100 * * [misc]simplify: iters left: 4 (36 enodes) 1540202262.104 * * [misc]simplify: iters left: 3 (40 enodes) 1540202262.108 * * [misc]simplify: iters left: 2 (50 enodes) 1540202262.115 * * [misc]simplify: iters left: 1 (59 enodes) 1540202262.123 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202262.123 * [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))))))) 1540202262.123 * [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))))) 1540202262.123 * * [misc]simplify: iters left: 6 (18 enodes) 1540202262.126 * * [misc]simplify: iters left: 5 (27 enodes) 1540202262.130 * * [misc]simplify: iters left: 4 (45 enodes) 1540202262.138 * * [misc]simplify: iters left: 3 (90 enodes) 1540202262.157 * * [misc]simplify: iters left: 2 (155 enodes) 1540202262.189 * * [misc]simplify: iters left: 1 (239 enodes) 1540202262.244 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202262.244 * [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)))))))) 1540202262.244 * * * * [misc]progress: [ 1139 / 6878 ] simplifiying candidate # 1540202262.244 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202262.244 * * [misc]simplify: iters left: 6 (20 enodes) 1540202262.248 * * [misc]simplify: iters left: 5 (32 enodes) 1540202262.253 * * [misc]simplify: iters left: 4 (52 enodes) 1540202262.261 * * [misc]simplify: iters left: 3 (98 enodes) 1540202262.279 * * [misc]simplify: iters left: 2 (235 enodes) 1540202262.361 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) 1540202262.361 * [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))))))) 1540202262.362 * [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))))) 1540202262.362 * * [misc]simplify: iters left: 6 (19 enodes) 1540202262.364 * * [misc]simplify: iters left: 5 (28 enodes) 1540202262.368 * * [misc]simplify: iters left: 4 (47 enodes) 1540202262.376 * * [misc]simplify: iters left: 3 (95 enodes) 1540202262.393 * * [misc]simplify: iters left: 2 (182 enodes) 1540202262.434 * * [misc]simplify: iters left: 1 (317 enodes) 1540202262.534 * [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)))))) 1540202262.534 * [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)))))))) 1540202262.534 * * * * [misc]progress: [ 1140 / 6878 ] simplifiying candidate # 1540202262.535 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202262.535 * * [misc]simplify: iters left: 6 (20 enodes) 1540202262.539 * * [misc]simplify: iters left: 5 (32 enodes) 1540202262.543 * * [misc]simplify: iters left: 4 (52 enodes) 1540202262.552 * * [misc]simplify: iters left: 3 (98 enodes) 1540202262.570 * * [misc]simplify: iters left: 2 (235 enodes) 1540202262.653 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) 1540202262.653 * [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))))))) 1540202262.653 * [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))))) 1540202262.653 * * [misc]simplify: iters left: 6 (19 enodes) 1540202262.656 * * [misc]simplify: iters left: 5 (28 enodes) 1540202262.660 * * [misc]simplify: iters left: 4 (47 enodes) 1540202262.667 * * [misc]simplify: iters left: 3 (95 enodes) 1540202262.684 * * [misc]simplify: iters left: 2 (182 enodes) 1540202262.724 * * [misc]simplify: iters left: 1 (317 enodes) 1540202262.823 * [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)))))) 1540202262.823 * [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)))))))) 1540202262.823 * * * * [misc]progress: [ 1141 / 6878 ] simplifiying candidate # 1540202262.824 * [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))))))) 1540202262.824 * * [misc]simplify: iters left: 6 (22 enodes) 1540202262.827 * * [misc]simplify: iters left: 5 (35 enodes) 1540202262.834 * * [misc]simplify: iters left: 4 (61 enodes) 1540202262.844 * * [misc]simplify: iters left: 3 (134 enodes) 1540202262.871 * * [misc]simplify: iters left: 2 (335 enodes) 1540202263.008 * [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)))))) 1540202263.008 * [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)))))))) 1540202263.008 * [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)))))) 1540202263.008 * * [misc]simplify: iters left: 6 (20 enodes) 1540202263.011 * * [misc]simplify: iters left: 5 (29 enodes) 1540202263.015 * * [misc]simplify: iters left: 4 (48 enodes) 1540202263.025 * * [misc]simplify: iters left: 3 (96 enodes) 1540202263.042 * * [misc]simplify: iters left: 2 (183 enodes) 1540202263.082 * * [misc]simplify: iters left: 1 (321 enodes) 1540202263.183 * [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)))))) 1540202263.183 * [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)))))))) 1540202263.183 * * * * [misc]progress: [ 1142 / 6878 ] simplifiying candidate # 1540202263.183 * [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)))))) 1540202263.183 * * [misc]simplify: iters left: 6 (21 enodes) 1540202263.187 * * [misc]simplify: iters left: 5 (32 enodes) 1540202263.191 * * [misc]simplify: iters left: 4 (52 enodes) 1540202263.201 * * [misc]simplify: iters left: 3 (98 enodes) 1540202263.219 * * [misc]simplify: iters left: 2 (236 enodes) 1540202263.291 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540202263.291 * [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)))))))) 1540202263.291 * [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)))))) 1540202263.291 * * [misc]simplify: iters left: 6 (20 enodes) 1540202263.294 * * [misc]simplify: iters left: 5 (29 enodes) 1540202263.298 * * [misc]simplify: iters left: 4 (48 enodes) 1540202263.306 * * [misc]simplify: iters left: 3 (96 enodes) 1540202263.324 * * [misc]simplify: iters left: 2 (183 enodes) 1540202263.364 * * [misc]simplify: iters left: 1 (321 enodes) 1540202263.467 * [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)))))) 1540202263.467 * [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)))))))) 1540202263.467 * * * * [misc]progress: [ 1143 / 6878 ] simplifiying candidate # 1540202263.467 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202263.467 * * [misc]simplify: iters left: 6 (19 enodes) 1540202263.471 * * [misc]simplify: iters left: 5 (30 enodes) 1540202263.475 * * [misc]simplify: iters left: 4 (53 enodes) 1540202263.482 * * [misc]simplify: iters left: 3 (81 enodes) 1540202263.497 * * [misc]simplify: iters left: 2 (145 enodes) 1540202263.530 * * [misc]simplify: iters left: 1 (215 enodes) 1540202263.585 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202263.585 * [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))))))) 1540202263.585 * [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))))) 1540202263.585 * * [misc]simplify: iters left: 6 (19 enodes) 1540202263.588 * * [misc]simplify: iters left: 5 (28 enodes) 1540202263.592 * * [misc]simplify: iters left: 4 (47 enodes) 1540202263.599 * * [misc]simplify: iters left: 3 (95 enodes) 1540202263.617 * * [misc]simplify: iters left: 2 (182 enodes) 1540202263.657 * * [misc]simplify: iters left: 1 (317 enodes) 1540202263.771 * [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)))))) 1540202263.771 * [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)))))))) 1540202263.771 * * * * [misc]progress: [ 1144 / 6878 ] simplifiying candidate # 1540202263.771 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202263.772 * * [misc]simplify: iters left: 6 (17 enodes) 1540202263.775 * * [misc]simplify: iters left: 5 (29 enodes) 1540202263.779 * * [misc]simplify: iters left: 4 (46 enodes) 1540202263.787 * * [misc]simplify: iters left: 3 (82 enodes) 1540202263.799 * * [misc]simplify: iters left: 2 (118 enodes) 1540202263.818 * * [misc]simplify: iters left: 1 (199 enodes) 1540202263.862 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt 2))) 1540202263.862 * [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))))))) 1540202263.862 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202263.862 * * [misc]simplify: iters left: 6 (18 enodes) 1540202263.865 * * [misc]simplify: iters left: 5 (27 enodes) 1540202263.868 * * [misc]simplify: iters left: 4 (45 enodes) 1540202263.876 * * [misc]simplify: iters left: 3 (90 enodes) 1540202263.893 * * [misc]simplify: iters left: 2 (155 enodes) 1540202263.924 * * [misc]simplify: iters left: 1 (239 enodes) 1540202263.978 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202263.978 * [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))))))) 1540202263.978 * * * * [misc]progress: [ 1145 / 6878 ] simplifiying candidate # 1540202263.978 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202263.978 * * [misc]simplify: iters left: 6 (17 enodes) 1540202263.982 * * [misc]simplify: iters left: 5 (29 enodes) 1540202263.986 * * [misc]simplify: iters left: 4 (46 enodes) 1540202263.993 * * [misc]simplify: iters left: 3 (82 enodes) 1540202264.006 * * [misc]simplify: iters left: 2 (118 enodes) 1540202264.026 * * [misc]simplify: iters left: 1 (199 enodes) 1540202264.068 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt 2))) 1540202264.068 * [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))))))) 1540202264.068 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202264.068 * * [misc]simplify: iters left: 6 (18 enodes) 1540202264.070 * * [misc]simplify: iters left: 5 (27 enodes) 1540202264.074 * * [misc]simplify: iters left: 4 (45 enodes) 1540202264.083 * * [misc]simplify: iters left: 3 (90 enodes) 1540202264.099 * * [misc]simplify: iters left: 2 (155 enodes) 1540202264.130 * * [misc]simplify: iters left: 1 (239 enodes) 1540202264.184 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202264.184 * [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))))))) 1540202264.184 * * * * [misc]progress: [ 1146 / 6878 ] simplifiying candidate # 1540202264.184 * [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))))))) 1540202264.185 * * [misc]simplify: iters left: 6 (19 enodes) 1540202264.188 * * [misc]simplify: iters left: 5 (32 enodes) 1540202264.193 * * [misc]simplify: iters left: 4 (55 enodes) 1540202264.202 * * [misc]simplify: iters left: 3 (123 enodes) 1540202264.228 * * [misc]simplify: iters left: 2 (250 enodes) 1540202264.301 * [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)))))) 1540202264.301 * [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)))))))) 1540202264.301 * [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)))))) 1540202264.302 * * [misc]simplify: iters left: 6 (19 enodes) 1540202264.304 * * [misc]simplify: iters left: 5 (28 enodes) 1540202264.308 * * [misc]simplify: iters left: 4 (46 enodes) 1540202264.315 * * [misc]simplify: iters left: 3 (91 enodes) 1540202264.333 * * [misc]simplify: iters left: 2 (156 enodes) 1540202264.364 * * [misc]simplify: iters left: 1 (239 enodes) 1540202264.418 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202264.418 * [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)))))))) 1540202264.418 * * * * [misc]progress: [ 1147 / 6878 ] simplifiying candidate # 1540202264.418 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202264.419 * * [misc]simplify: iters left: 6 (18 enodes) 1540202264.422 * * [misc]simplify: iters left: 5 (29 enodes) 1540202264.426 * * [misc]simplify: iters left: 4 (46 enodes) 1540202264.433 * * [misc]simplify: iters left: 3 (82 enodes) 1540202264.444 * * [misc]simplify: iters left: 2 (109 enodes) 1540202264.460 * * [misc]simplify: iters left: 1 (181 enodes) 1540202264.502 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) 1540202264.502 * [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)))))))) 1540202264.502 * [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)))))) 1540202264.502 * * [misc]simplify: iters left: 6 (19 enodes) 1540202264.505 * * [misc]simplify: iters left: 5 (28 enodes) 1540202264.509 * * [misc]simplify: iters left: 4 (46 enodes) 1540202264.516 * * [misc]simplify: iters left: 3 (91 enodes) 1540202264.533 * * [misc]simplify: iters left: 2 (156 enodes) 1540202264.564 * * [misc]simplify: iters left: 1 (239 enodes) 1540202264.618 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202264.618 * [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)))))))) 1540202264.618 * * * * [misc]progress: [ 1148 / 6878 ] simplifiying candidate # 1540202264.619 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540202264.619 * * [misc]simplify: iters left: 6 (16 enodes) 1540202264.622 * * [misc]simplify: iters left: 5 (25 enodes) 1540202264.625 * * [misc]simplify: iters left: 4 (33 enodes) 1540202264.628 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202264.629 * [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))))))) 1540202264.629 * [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))))) 1540202264.629 * * [misc]simplify: iters left: 6 (18 enodes) 1540202264.631 * * [misc]simplify: iters left: 5 (27 enodes) 1540202264.635 * * [misc]simplify: iters left: 4 (45 enodes) 1540202264.644 * * [misc]simplify: iters left: 3 (90 enodes) 1540202264.659 * * [misc]simplify: iters left: 2 (155 enodes) 1540202264.691 * * [misc]simplify: iters left: 1 (239 enodes) 1540202264.745 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202264.745 * [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)))))))) 1540202264.745 * * * * [misc]progress: [ 1149 / 6878 ] simplifiying candidate # 1540202264.745 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540202264.746 * * [misc]simplify: iters left: 6 (15 enodes) 1540202264.748 * * [misc]simplify: iters left: 5 (24 enodes) 1540202264.752 * * [misc]simplify: iters left: 4 (36 enodes) 1540202264.755 * * [misc]simplify: iters left: 3 (38 enodes) 1540202264.759 * * [misc]simplify: iters left: 2 (39 enodes) 1540202264.762 * * [misc]simplify: iters left: 1 (40 enodes) 1540202264.767 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) 1540202264.767 * [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))))))) 1540202264.767 * [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))))) 1540202264.767 * * [misc]simplify: iters left: 6 (18 enodes) 1540202264.769 * * [misc]simplify: iters left: 5 (27 enodes) 1540202264.773 * * [misc]simplify: iters left: 4 (45 enodes) 1540202264.780 * * [misc]simplify: iters left: 3 (90 enodes) 1540202264.796 * * [misc]simplify: iters left: 2 (155 enodes) 1540202264.827 * * [misc]simplify: iters left: 1 (239 enodes) 1540202264.881 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202264.881 * [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)))))))) 1540202264.881 * * * * [misc]progress: [ 1150 / 6878 ] simplifiying candidate # 1540202264.881 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540202264.881 * * [misc]simplify: iters left: 6 (17 enodes) 1540202264.884 * * [misc]simplify: iters left: 5 (26 enodes) 1540202264.888 * * [misc]simplify: iters left: 4 (38 enodes) 1540202264.894 * * [misc]simplify: iters left: 3 (62 enodes) 1540202264.903 * * [misc]simplify: iters left: 2 (109 enodes) 1540202264.919 * * [misc]simplify: iters left: 1 (188 enodes) 1540202264.944 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540202264.944 * [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))))))) 1540202264.945 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202264.945 * * [misc]simplify: iters left: 6 (19 enodes) 1540202264.947 * * [misc]simplify: iters left: 5 (30 enodes) 1540202264.951 * * [misc]simplify: iters left: 4 (47 enodes) 1540202264.960 * * [misc]simplify: iters left: 3 (99 enodes) 1540202264.978 * * [misc]simplify: iters left: 2 (206 enodes) 1540202265.041 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202265.041 * [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))))))) 1540202265.041 * * * * [misc]progress: [ 1151 / 6878 ] simplifiying candidate # 1540202265.041 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202265.041 * * [misc]simplify: iters left: 6 (19 enodes) 1540202265.045 * * [misc]simplify: iters left: 5 (31 enodes) 1540202265.050 * * [misc]simplify: iters left: 4 (51 enodes) 1540202265.058 * * [misc]simplify: iters left: 3 (97 enodes) 1540202265.075 * * [misc]simplify: iters left: 2 (209 enodes) 1540202265.138 * * [misc]simplify: iters left: 1 (490 enodes) 1540202265.453 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540202265.453 * [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))))) 1540202265.453 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202265.453 * * [misc]simplify: iters left: 6 (17 enodes) 1540202265.455 * * [misc]simplify: iters left: 5 (24 enodes) 1540202265.458 * * [misc]simplify: iters left: 4 (35 enodes) 1540202265.463 * * [misc]simplify: iters left: 3 (50 enodes) 1540202265.470 * * [misc]simplify: iters left: 2 (67 enodes) 1540202265.479 * * [misc]simplify: iters left: 1 (84 enodes) 1540202265.490 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202265.490 * [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))))))) 1540202265.490 * * * * [misc]progress: [ 1152 / 6878 ] simplifiying candidate # 1540202265.490 * [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))))))) 1540202265.490 * * [misc]simplify: iters left: 6 (18 enodes) 1540202265.494 * * [misc]simplify: iters left: 5 (29 enodes) 1540202265.497 * * [misc]simplify: iters left: 4 (38 enodes) 1540202265.504 * * [misc]simplify: iters left: 3 (60 enodes) 1540202265.513 * * [misc]simplify: iters left: 2 (109 enodes) 1540202265.533 * * [misc]simplify: iters left: 1 (148 enodes) 1540202265.561 * [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)))))) 1540202265.561 * [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)))))))) 1540202265.561 * [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)))))) 1540202265.561 * * [misc]simplify: iters left: 6 (18 enodes) 1540202265.563 * * [misc]simplify: iters left: 5 (25 enodes) 1540202265.567 * * [misc]simplify: iters left: 4 (36 enodes) 1540202265.573 * * [misc]simplify: iters left: 3 (51 enodes) 1540202265.580 * * [misc]simplify: iters left: 2 (68 enodes) 1540202265.589 * * [misc]simplify: iters left: 1 (85 enodes) 1540202265.600 * [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)))))) 1540202265.600 * [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)))))))) 1540202265.600 * * * * [misc]progress: [ 1153 / 6878 ] simplifiying candidate # 1540202265.601 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202265.601 * * [misc]simplify: iters left: 6 (17 enodes) 1540202265.604 * * [misc]simplify: iters left: 5 (26 enodes) 1540202265.607 * * [misc]simplify: iters left: 4 (30 enodes) 1540202265.611 * * [misc]simplify: iters left: 3 (40 enodes) 1540202265.615 * * [misc]simplify: iters left: 2 (48 enodes) 1540202265.621 * * [misc]simplify: iters left: 1 (58 enodes) 1540202265.629 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202265.629 * [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)))))))) 1540202265.629 * [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)))))) 1540202265.629 * * [misc]simplify: iters left: 6 (18 enodes) 1540202265.631 * * [misc]simplify: iters left: 5 (25 enodes) 1540202265.635 * * [misc]simplify: iters left: 4 (36 enodes) 1540202265.641 * * [misc]simplify: iters left: 3 (51 enodes) 1540202265.648 * * [misc]simplify: iters left: 2 (68 enodes) 1540202265.657 * * [misc]simplify: iters left: 1 (85 enodes) 1540202265.669 * [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)))))) 1540202265.669 * [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)))))))) 1540202265.669 * * * * [misc]progress: [ 1154 / 6878 ] simplifiying candidate # 1540202265.669 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202265.669 * * [misc]simplify: iters left: 6 (16 enodes) 1540202265.673 * * [misc]simplify: iters left: 5 (28 enodes) 1540202265.677 * * [misc]simplify: iters left: 4 (43 enodes) 1540202265.685 * * [misc]simplify: iters left: 3 (98 enodes) 1540202265.704 * * [misc]simplify: iters left: 2 (240 enodes) 1540202265.795 * * [misc]simplify: iters left: 1 (402 enodes) 1540202265.937 * [exit]simplify: Simplified to (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202265.937 * [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))))))) 1540202265.938 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202265.938 * * [misc]simplify: iters left: 6 (18 enodes) 1540202265.940 * * [misc]simplify: iters left: 5 (27 enodes) 1540202265.944 * * [misc]simplify: iters left: 4 (46 enodes) 1540202265.953 * * [misc]simplify: iters left: 3 (94 enodes) 1540202265.970 * * [misc]simplify: iters left: 2 (181 enodes) 1540202266.009 * * [misc]simplify: iters left: 1 (322 enodes) 1540202266.112 * [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))))) 1540202266.113 * [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))))))) 1540202266.113 * * * * [misc]progress: [ 1155 / 6878 ] simplifiying candidate # 1540202266.113 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202266.113 * * [misc]simplify: iters left: 6 (16 enodes) 1540202266.117 * * [misc]simplify: iters left: 5 (28 enodes) 1540202266.121 * * [misc]simplify: iters left: 4 (43 enodes) 1540202266.131 * * [misc]simplify: iters left: 3 (98 enodes) 1540202266.150 * * [misc]simplify: iters left: 2 (240 enodes) 1540202266.239 * * [misc]simplify: iters left: 1 (402 enodes) 1540202266.382 * [exit]simplify: Simplified to (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202266.382 * [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))))))) 1540202266.383 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202266.383 * * [misc]simplify: iters left: 6 (18 enodes) 1540202266.385 * * [misc]simplify: iters left: 5 (27 enodes) 1540202266.389 * * [misc]simplify: iters left: 4 (46 enodes) 1540202266.397 * * [misc]simplify: iters left: 3 (94 enodes) 1540202266.414 * * [misc]simplify: iters left: 2 (181 enodes) 1540202266.455 * * [misc]simplify: iters left: 1 (322 enodes) 1540202266.559 * [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))))) 1540202266.559 * [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))))))) 1540202266.559 * * * * [misc]progress: [ 1156 / 6878 ] simplifiying candidate # 1540202266.560 * [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))))))) 1540202266.560 * * [misc]simplify: iters left: 6 (20 enodes) 1540202266.564 * * [misc]simplify: iters left: 5 (37 enodes) 1540202266.569 * * [misc]simplify: iters left: 4 (73 enodes) 1540202266.582 * * [misc]simplify: iters left: 3 (190 enodes) 1540202266.650 * [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)))))) 1540202266.651 * [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)))))))) 1540202266.651 * [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)))))) 1540202266.651 * * [misc]simplify: iters left: 6 (19 enodes) 1540202266.654 * * [misc]simplify: iters left: 5 (28 enodes) 1540202266.657 * * [misc]simplify: iters left: 4 (47 enodes) 1540202266.665 * * [misc]simplify: iters left: 3 (95 enodes) 1540202266.684 * * [misc]simplify: iters left: 2 (182 enodes) 1540202266.722 * * [misc]simplify: iters left: 1 (322 enodes) 1540202266.825 * [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)))))) 1540202266.825 * [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)))))))) 1540202266.825 * * * * [misc]progress: [ 1157 / 6878 ] simplifiying candidate # 1540202266.825 * [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)))))) 1540202266.825 * * [misc]simplify: iters left: 6 (19 enodes) 1540202266.829 * * [misc]simplify: iters left: 5 (32 enodes) 1540202266.833 * * [misc]simplify: iters left: 4 (50 enodes) 1540202266.842 * * [misc]simplify: iters left: 3 (105 enodes) 1540202266.864 * * [misc]simplify: iters left: 2 (253 enodes) 1540202266.981 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (sqrt (sqrt k)))) 1540202266.981 * [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)))))))) 1540202266.981 * [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)))))) 1540202266.981 * * [misc]simplify: iters left: 6 (19 enodes) 1540202266.984 * * [misc]simplify: iters left: 5 (28 enodes) 1540202266.988 * * [misc]simplify: iters left: 4 (47 enodes) 1540202266.995 * * [misc]simplify: iters left: 3 (95 enodes) 1540202267.013 * * [misc]simplify: iters left: 2 (182 enodes) 1540202267.053 * * [misc]simplify: iters left: 1 (322 enodes) 1540202267.155 * [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)))))) 1540202267.155 * [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)))))))) 1540202267.155 * * * * [misc]progress: [ 1158 / 6878 ] simplifiying candidate # 1540202267.156 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202267.156 * * [misc]simplify: iters left: 6 (14 enodes) 1540202267.159 * * [misc]simplify: iters left: 5 (25 enodes) 1540202267.163 * * [misc]simplify: iters left: 4 (34 enodes) 1540202267.167 * * [misc]simplify: iters left: 3 (46 enodes) 1540202267.172 * * [misc]simplify: iters left: 2 (70 enodes) 1540202267.185 * * [misc]simplify: iters left: 1 (100 enodes) 1540202267.199 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1540202267.199 * [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))))))) 1540202267.199 * [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))))) 1540202267.199 * * [misc]simplify: iters left: 6 (18 enodes) 1540202267.202 * * [misc]simplify: iters left: 5 (27 enodes) 1540202267.206 * * [misc]simplify: iters left: 4 (46 enodes) 1540202267.213 * * [misc]simplify: iters left: 3 (94 enodes) 1540202267.231 * * [misc]simplify: iters left: 2 (181 enodes) 1540202267.270 * * [misc]simplify: iters left: 1 (322 enodes) 1540202267.374 * [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))))) 1540202267.374 * [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))))))) 1540202267.374 * * * * [misc]progress: [ 1159 / 6878 ] simplifiying candidate # 1540202267.374 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202267.374 * * [misc]simplify: iters left: 6 (16 enodes) 1540202267.378 * * [misc]simplify: iters left: 5 (27 enodes) 1540202267.382 * * [misc]simplify: iters left: 4 (33 enodes) 1540202267.388 * * [misc]simplify: iters left: 3 (54 enodes) 1540202267.396 * * [misc]simplify: iters left: 2 (93 enodes) 1540202267.417 * * [misc]simplify: iters left: 1 (154 enodes) 1540202267.457 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540202267.457 * [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))))))) 1540202267.457 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202267.457 * * [misc]simplify: iters left: 6 (19 enodes) 1540202267.460 * * [misc]simplify: iters left: 5 (28 enodes) 1540202267.465 * * [misc]simplify: iters left: 4 (47 enodes) 1540202267.473 * * [misc]simplify: iters left: 3 (95 enodes) 1540202267.490 * * [misc]simplify: iters left: 2 (182 enodes) 1540202267.530 * * [misc]simplify: iters left: 1 (322 enodes) 1540202267.631 * [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)))) 1540202267.631 * [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)))))) 1540202267.631 * * * * [misc]progress: [ 1160 / 6878 ] simplifiying candidate # 1540202267.631 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202267.631 * * [misc]simplify: iters left: 6 (16 enodes) 1540202267.635 * * [misc]simplify: iters left: 5 (27 enodes) 1540202267.638 * * [misc]simplify: iters left: 4 (33 enodes) 1540202267.645 * * [misc]simplify: iters left: 3 (54 enodes) 1540202267.653 * * [misc]simplify: iters left: 2 (93 enodes) 1540202267.673 * * [misc]simplify: iters left: 1 (154 enodes) 1540202267.713 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540202267.713 * [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))))))) 1540202267.714 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202267.714 * * [misc]simplify: iters left: 6 (19 enodes) 1540202267.716 * * [misc]simplify: iters left: 5 (28 enodes) 1540202267.720 * * [misc]simplify: iters left: 4 (47 enodes) 1540202267.727 * * [misc]simplify: iters left: 3 (95 enodes) 1540202267.745 * * [misc]simplify: iters left: 2 (182 enodes) 1540202267.785 * * [misc]simplify: iters left: 1 (322 enodes) 1540202267.887 * [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)))) 1540202267.887 * [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)))))) 1540202267.887 * * * * [misc]progress: [ 1161 / 6878 ] simplifiying candidate # 1540202267.887 * [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))))))) 1540202267.887 * * [misc]simplify: iters left: 6 (20 enodes) 1540202267.891 * * [misc]simplify: iters left: 5 (34 enodes) 1540202267.896 * * [misc]simplify: iters left: 4 (48 enodes) 1540202267.903 * * [misc]simplify: iters left: 3 (76 enodes) 1540202267.915 * * [misc]simplify: iters left: 2 (137 enodes) 1540202267.951 * * [misc]simplify: iters left: 1 (285 enodes) 1540202268.126 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) 1540202268.126 * [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)))))))) 1540202268.126 * [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)))))) 1540202268.127 * * [misc]simplify: iters left: 6 (20 enodes) 1540202268.130 * * [misc]simplify: iters left: 5 (29 enodes) 1540202268.134 * * [misc]simplify: iters left: 4 (48 enodes) 1540202268.141 * * [misc]simplify: iters left: 3 (96 enodes) 1540202268.159 * * [misc]simplify: iters left: 2 (183 enodes) 1540202268.202 * * [misc]simplify: iters left: 1 (327 enodes) 1540202268.309 * [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)))))) 1540202268.309 * [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)))))))) 1540202268.309 * * * * [misc]progress: [ 1162 / 6878 ] simplifiying candidate # 1540202268.309 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202268.310 * * [misc]simplify: iters left: 6 (19 enodes) 1540202268.313 * * [misc]simplify: iters left: 5 (31 enodes) 1540202268.317 * * [misc]simplify: iters left: 4 (40 enodes) 1540202268.323 * * [misc]simplify: iters left: 3 (61 enodes) 1540202268.332 * * [misc]simplify: iters left: 2 (86 enodes) 1540202268.347 * * [misc]simplify: iters left: 1 (159 enodes) 1540202268.390 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202268.390 * [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)))))))) 1540202268.390 * [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)))))) 1540202268.390 * * [misc]simplify: iters left: 6 (20 enodes) 1540202268.393 * * [misc]simplify: iters left: 5 (29 enodes) 1540202268.397 * * [misc]simplify: iters left: 4 (48 enodes) 1540202268.405 * * [misc]simplify: iters left: 3 (96 enodes) 1540202268.422 * * [misc]simplify: iters left: 2 (183 enodes) 1540202268.462 * * [misc]simplify: iters left: 1 (327 enodes) 1540202268.569 * [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)))))) 1540202268.569 * [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)))))))) 1540202268.569 * * * * [misc]progress: [ 1163 / 6878 ] simplifiying candidate # 1540202268.569 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202268.569 * * [misc]simplify: iters left: 6 (14 enodes) 1540202268.572 * * [misc]simplify: iters left: 5 (23 enodes) 1540202268.576 * * [misc]simplify: iters left: 4 (30 enodes) 1540202268.579 * * [misc]simplify: iters left: 3 (36 enodes) 1540202268.583 * * [misc]simplify: iters left: 2 (42 enodes) 1540202268.588 * * [misc]simplify: iters left: 1 (49 enodes) 1540202268.594 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540202268.594 * [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))))))) 1540202268.594 * [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))))) 1540202268.594 * * [misc]simplify: iters left: 6 (19 enodes) 1540202268.597 * * [misc]simplify: iters left: 5 (28 enodes) 1540202268.601 * * [misc]simplify: iters left: 4 (47 enodes) 1540202268.610 * * [misc]simplify: iters left: 3 (95 enodes) 1540202268.627 * * [misc]simplify: iters left: 2 (182 enodes) 1540202268.666 * * [misc]simplify: iters left: 1 (322 enodes) 1540202268.768 * [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))))) 1540202268.768 * [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))))))) 1540202268.769 * * * * [misc]progress: [ 1164 / 6878 ] simplifiying candidate # 1540202268.769 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202268.769 * * [misc]simplify: iters left: 6 (15 enodes) 1540202268.772 * * [misc]simplify: iters left: 5 (25 enodes) 1540202268.776 * * [misc]simplify: iters left: 4 (31 enodes) 1540202268.781 * * [misc]simplify: iters left: 3 (54 enodes) 1540202268.791 * * [misc]simplify: iters left: 2 (95 enodes) 1540202268.811 * * [misc]simplify: iters left: 1 (155 enodes) 1540202268.850 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202268.850 * [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))))))) 1540202268.850 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202268.850 * * [misc]simplify: iters left: 6 (18 enodes) 1540202268.852 * * [misc]simplify: iters left: 5 (27 enodes) 1540202268.856 * * [misc]simplify: iters left: 4 (46 enodes) 1540202268.863 * * [misc]simplify: iters left: 3 (94 enodes) 1540202268.881 * * [misc]simplify: iters left: 2 (181 enodes) 1540202268.921 * * [misc]simplify: iters left: 1 (322 enodes) 1540202269.024 * [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))))) 1540202269.024 * [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))))))) 1540202269.024 * * * * [misc]progress: [ 1165 / 6878 ] simplifiying candidate # 1540202269.025 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202269.025 * * [misc]simplify: iters left: 6 (15 enodes) 1540202269.028 * * [misc]simplify: iters left: 5 (25 enodes) 1540202269.032 * * [misc]simplify: iters left: 4 (31 enodes) 1540202269.037 * * [misc]simplify: iters left: 3 (54 enodes) 1540202269.045 * * [misc]simplify: iters left: 2 (95 enodes) 1540202269.065 * * [misc]simplify: iters left: 1 (155 enodes) 1540202269.103 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202269.103 * [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))))))) 1540202269.104 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202269.104 * * [misc]simplify: iters left: 6 (18 enodes) 1540202269.106 * * [misc]simplify: iters left: 5 (27 enodes) 1540202269.110 * * [misc]simplify: iters left: 4 (46 enodes) 1540202269.117 * * [misc]simplify: iters left: 3 (94 enodes) 1540202269.134 * * [misc]simplify: iters left: 2 (181 enodes) 1540202269.174 * * [misc]simplify: iters left: 1 (322 enodes) 1540202269.279 * [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))))) 1540202269.279 * [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))))))) 1540202269.279 * * * * [misc]progress: [ 1166 / 6878 ] simplifiying candidate # 1540202269.279 * [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))))))) 1540202269.280 * * [misc]simplify: iters left: 6 (19 enodes) 1540202269.283 * * [misc]simplify: iters left: 5 (32 enodes) 1540202269.287 * * [misc]simplify: iters left: 4 (46 enodes) 1540202269.294 * * [misc]simplify: iters left: 3 (82 enodes) 1540202269.309 * * [misc]simplify: iters left: 2 (173 enodes) 1540202269.363 * * [misc]simplify: iters left: 1 (475 enodes) 1540202269.751 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202269.751 * [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)))))))) 1540202269.752 * [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)))))) 1540202269.752 * * [misc]simplify: iters left: 6 (19 enodes) 1540202269.754 * * [misc]simplify: iters left: 5 (28 enodes) 1540202269.758 * * [misc]simplify: iters left: 4 (47 enodes) 1540202269.766 * * [misc]simplify: iters left: 3 (95 enodes) 1540202269.783 * * [misc]simplify: iters left: 2 (182 enodes) 1540202269.824 * * [misc]simplify: iters left: 1 (322 enodes) 1540202269.927 * [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)))))) 1540202269.927 * [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)))))))) 1540202269.927 * * * * [misc]progress: [ 1167 / 6878 ] simplifiying candidate # 1540202269.927 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202269.927 * * [misc]simplify: iters left: 6 (18 enodes) 1540202269.931 * * [misc]simplify: iters left: 5 (29 enodes) 1540202269.934 * * [misc]simplify: iters left: 4 (38 enodes) 1540202269.940 * * [misc]simplify: iters left: 3 (61 enodes) 1540202269.949 * * [misc]simplify: iters left: 2 (88 enodes) 1540202269.964 * * [misc]simplify: iters left: 1 (160 enodes) 1540202270.008 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202270.008 * [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)))))))) 1540202270.008 * [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)))))) 1540202270.008 * * [misc]simplify: iters left: 6 (19 enodes) 1540202270.011 * * [misc]simplify: iters left: 5 (28 enodes) 1540202270.015 * * [misc]simplify: iters left: 4 (47 enodes) 1540202270.022 * * [misc]simplify: iters left: 3 (95 enodes) 1540202270.039 * * [misc]simplify: iters left: 2 (182 enodes) 1540202270.079 * * [misc]simplify: iters left: 1 (322 enodes) 1540202270.182 * [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)))))) 1540202270.182 * [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)))))))) 1540202270.182 * * * * [misc]progress: [ 1168 / 6878 ] simplifiying candidate # 1540202270.182 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202270.182 * * [misc]simplify: iters left: 6 (13 enodes) 1540202270.185 * * [misc]simplify: iters left: 5 (22 enodes) 1540202270.188 * * [misc]simplify: iters left: 4 (31 enodes) 1540202270.192 * * [misc]simplify: iters left: 3 (35 enodes) 1540202270.195 * * [misc]simplify: iters left: 2 (42 enodes) 1540202270.200 * * [misc]simplify: iters left: 1 (50 enodes) 1540202270.206 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202270.206 * [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))))))) 1540202270.206 * [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))))) 1540202270.206 * * [misc]simplify: iters left: 6 (18 enodes) 1540202270.209 * * [misc]simplify: iters left: 5 (27 enodes) 1540202270.212 * * [misc]simplify: iters left: 4 (46 enodes) 1540202270.219 * * [misc]simplify: iters left: 3 (94 enodes) 1540202270.238 * * [misc]simplify: iters left: 2 (181 enodes) 1540202270.277 * * [misc]simplify: iters left: 1 (322 enodes) 1540202270.380 * [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))))) 1540202270.381 * [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))))))) 1540202270.381 * * * * [misc]progress: [ 1169 / 6878 ] simplifiying candidate # 1540202270.381 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202270.381 * * [misc]simplify: iters left: 6 (11 enodes) 1540202270.384 * * [misc]simplify: iters left: 5 (21 enodes) 1540202270.387 * * [misc]simplify: iters left: 4 (26 enodes) 1540202270.391 * * [misc]simplify: iters left: 3 (34 enodes) 1540202270.395 * * [misc]simplify: iters left: 2 (40 enodes) 1540202270.402 * * [misc]simplify: iters left: 1 (47 enodes) 1540202270.409 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202270.409 * [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))))))) 1540202270.409 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202270.409 * * [misc]simplify: iters left: 6 (17 enodes) 1540202270.412 * * [misc]simplify: iters left: 5 (26 enodes) 1540202270.415 * * [misc]simplify: iters left: 4 (44 enodes) 1540202270.422 * * [misc]simplify: iters left: 3 (89 enodes) 1540202270.438 * * [misc]simplify: iters left: 2 (154 enodes) 1540202270.471 * * [misc]simplify: iters left: 1 (238 enodes) 1540202270.526 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202270.526 * [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)))))) 1540202270.526 * * * * [misc]progress: [ 1170 / 6878 ] simplifiying candidate # 1540202270.527 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202270.527 * * [misc]simplify: iters left: 6 (11 enodes) 1540202270.530 * * [misc]simplify: iters left: 5 (21 enodes) 1540202270.533 * * [misc]simplify: iters left: 4 (26 enodes) 1540202270.537 * * [misc]simplify: iters left: 3 (34 enodes) 1540202270.541 * * [misc]simplify: iters left: 2 (40 enodes) 1540202270.547 * * [misc]simplify: iters left: 1 (47 enodes) 1540202270.554 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202270.554 * [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))))))) 1540202270.554 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202270.554 * * [misc]simplify: iters left: 6 (17 enodes) 1540202270.556 * * [misc]simplify: iters left: 5 (26 enodes) 1540202270.560 * * [misc]simplify: iters left: 4 (44 enodes) 1540202270.567 * * [misc]simplify: iters left: 3 (89 enodes) 1540202270.583 * * [misc]simplify: iters left: 2 (154 enodes) 1540202270.616 * * [misc]simplify: iters left: 1 (238 enodes) 1540202270.671 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202270.671 * [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)))))) 1540202270.671 * * * * [misc]progress: [ 1171 / 6878 ] simplifiying candidate # 1540202270.672 * [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))))))) 1540202270.672 * * [misc]simplify: iters left: 6 (16 enodes) 1540202270.675 * * [misc]simplify: iters left: 5 (29 enodes) 1540202270.679 * * [misc]simplify: iters left: 4 (45 enodes) 1540202270.686 * * [misc]simplify: iters left: 3 (74 enodes) 1540202270.697 * * [misc]simplify: iters left: 2 (112 enodes) 1540202270.722 * * [misc]simplify: iters left: 1 (172 enodes) 1540202270.759 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202270.759 * [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)))))))) 1540202270.759 * [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)))))) 1540202270.760 * * [misc]simplify: iters left: 6 (18 enodes) 1540202270.762 * * [misc]simplify: iters left: 5 (27 enodes) 1540202270.766 * * [misc]simplify: iters left: 4 (45 enodes) 1540202270.773 * * [misc]simplify: iters left: 3 (90 enodes) 1540202270.789 * * [misc]simplify: iters left: 2 (155 enodes) 1540202270.820 * * [misc]simplify: iters left: 1 (239 enodes) 1540202270.875 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202270.875 * [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))))))) 1540202270.875 * * * * [misc]progress: [ 1172 / 6878 ] simplifiying candidate # 1540202270.875 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202270.875 * * [misc]simplify: iters left: 6 (15 enodes) 1540202270.879 * * [misc]simplify: iters left: 5 (26 enodes) 1540202270.882 * * [misc]simplify: iters left: 4 (35 enodes) 1540202270.886 * * [misc]simplify: iters left: 3 (43 enodes) 1540202270.891 * * [misc]simplify: iters left: 2 (49 enodes) 1540202270.897 * * [misc]simplify: iters left: 1 (56 enodes) 1540202270.904 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) 1540202270.905 * [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)))))))) 1540202270.905 * [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)))))) 1540202270.905 * * [misc]simplify: iters left: 6 (18 enodes) 1540202270.907 * * [misc]simplify: iters left: 5 (27 enodes) 1540202270.912 * * [misc]simplify: iters left: 4 (45 enodes) 1540202270.919 * * [misc]simplify: iters left: 3 (90 enodes) 1540202270.935 * * [misc]simplify: iters left: 2 (155 enodes) 1540202270.966 * * [misc]simplify: iters left: 1 (239 enodes) 1540202271.021 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202271.021 * [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))))))) 1540202271.021 * * * * [misc]progress: [ 1173 / 6878 ] simplifiying candidate # 1540202271.021 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt 1) 1)) 1540202271.021 * * [misc]simplify: iters left: 6 (8 enodes) 1540202271.024 * * [misc]simplify: iters left: 5 (17 enodes) 1540202271.025 * [exit]simplify: Simplified to (sqrt PI) 1540202271.025 * [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))))))) 1540202271.026 * [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))))) 1540202271.026 * * [misc]simplify: iters left: 6 (17 enodes) 1540202271.028 * * [misc]simplify: iters left: 5 (26 enodes) 1540202271.033 * * [misc]simplify: iters left: 4 (44 enodes) 1540202271.040 * * [misc]simplify: iters left: 3 (89 enodes) 1540202271.056 * * [misc]simplify: iters left: 2 (154 enodes) 1540202271.087 * * [misc]simplify: iters left: 1 (238 enodes) 1540202271.142 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540202271.142 * [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))))))) 1540202271.142 * * * * [misc]progress: [ 1174 / 6878 ] simplifiying candidate # 1540202271.143 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202271.143 * * [misc]simplify: iters left: 6 (15 enodes) 1540202271.146 * * [misc]simplify: iters left: 5 (25 enodes) 1540202271.150 * * [misc]simplify: iters left: 4 (31 enodes) 1540202271.156 * * [misc]simplify: iters left: 3 (54 enodes) 1540202271.165 * * [misc]simplify: iters left: 2 (95 enodes) 1540202271.185 * * [misc]simplify: iters left: 1 (155 enodes) 1540202271.223 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202271.223 * [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))))))) 1540202271.223 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202271.223 * * [misc]simplify: iters left: 6 (18 enodes) 1540202271.226 * * [misc]simplify: iters left: 5 (27 enodes) 1540202271.230 * * [misc]simplify: iters left: 4 (46 enodes) 1540202271.237 * * [misc]simplify: iters left: 3 (94 enodes) 1540202271.254 * * [misc]simplify: iters left: 2 (181 enodes) 1540202271.294 * * [misc]simplify: iters left: 1 (322 enodes) 1540202271.408 * [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))))) 1540202271.408 * [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))))))) 1540202271.408 * * * * [misc]progress: [ 1175 / 6878 ] simplifiying candidate # 1540202271.408 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202271.408 * * [misc]simplify: iters left: 6 (15 enodes) 1540202271.412 * * [misc]simplify: iters left: 5 (25 enodes) 1540202271.415 * * [misc]simplify: iters left: 4 (31 enodes) 1540202271.420 * * [misc]simplify: iters left: 3 (54 enodes) 1540202271.429 * * [misc]simplify: iters left: 2 (95 enodes) 1540202271.448 * * [misc]simplify: iters left: 1 (155 enodes) 1540202271.487 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202271.487 * [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))))))) 1540202271.487 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202271.487 * * [misc]simplify: iters left: 6 (18 enodes) 1540202271.490 * * [misc]simplify: iters left: 5 (27 enodes) 1540202271.493 * * [misc]simplify: iters left: 4 (46 enodes) 1540202271.500 * * [misc]simplify: iters left: 3 (94 enodes) 1540202271.518 * * [misc]simplify: iters left: 2 (181 enodes) 1540202271.558 * * [misc]simplify: iters left: 1 (322 enodes) 1540202271.662 * [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))))) 1540202271.662 * [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))))))) 1540202271.662 * * * * [misc]progress: [ 1176 / 6878 ] simplifiying candidate # 1540202271.662 * [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))))))) 1540202271.662 * * [misc]simplify: iters left: 6 (19 enodes) 1540202271.666 * * [misc]simplify: iters left: 5 (32 enodes) 1540202271.670 * * [misc]simplify: iters left: 4 (46 enodes) 1540202271.677 * * [misc]simplify: iters left: 3 (82 enodes) 1540202271.691 * * [misc]simplify: iters left: 2 (173 enodes) 1540202271.745 * * [misc]simplify: iters left: 1 (475 enodes) 1540202272.133 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202272.133 * [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)))))))) 1540202272.133 * [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)))))) 1540202272.133 * * [misc]simplify: iters left: 6 (19 enodes) 1540202272.136 * * [misc]simplify: iters left: 5 (28 enodes) 1540202272.140 * * [misc]simplify: iters left: 4 (47 enodes) 1540202272.147 * * [misc]simplify: iters left: 3 (95 enodes) 1540202272.164 * * [misc]simplify: iters left: 2 (182 enodes) 1540202272.206 * * [misc]simplify: iters left: 1 (322 enodes) 1540202272.308 * [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)))))) 1540202272.308 * [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)))))))) 1540202272.308 * * * * [misc]progress: [ 1177 / 6878 ] simplifiying candidate # 1540202272.308 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202272.308 * * [misc]simplify: iters left: 6 (18 enodes) 1540202272.312 * * [misc]simplify: iters left: 5 (29 enodes) 1540202272.315 * * [misc]simplify: iters left: 4 (38 enodes) 1540202272.321 * * [misc]simplify: iters left: 3 (61 enodes) 1540202272.329 * * [misc]simplify: iters left: 2 (88 enodes) 1540202272.345 * * [misc]simplify: iters left: 1 (160 enodes) 1540202272.389 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202272.389 * [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)))))))) 1540202272.389 * [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)))))) 1540202272.389 * * [misc]simplify: iters left: 6 (19 enodes) 1540202272.392 * * [misc]simplify: iters left: 5 (28 enodes) 1540202272.396 * * [misc]simplify: iters left: 4 (47 enodes) 1540202272.403 * * [misc]simplify: iters left: 3 (95 enodes) 1540202272.420 * * [misc]simplify: iters left: 2 (182 enodes) 1540202272.460 * * [misc]simplify: iters left: 1 (322 enodes) 1540202272.563 * [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)))))) 1540202272.563 * [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)))))))) 1540202272.563 * * * * [misc]progress: [ 1178 / 6878 ] simplifiying candidate # 1540202272.564 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202272.564 * * [misc]simplify: iters left: 6 (13 enodes) 1540202272.566 * * [misc]simplify: iters left: 5 (22 enodes) 1540202272.570 * * [misc]simplify: iters left: 4 (31 enodes) 1540202272.574 * * [misc]simplify: iters left: 3 (35 enodes) 1540202272.577 * * [misc]simplify: iters left: 2 (42 enodes) 1540202272.582 * * [misc]simplify: iters left: 1 (50 enodes) 1540202272.587 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202272.587 * [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))))))) 1540202272.588 * [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))))) 1540202272.588 * * [misc]simplify: iters left: 6 (18 enodes) 1540202272.590 * * [misc]simplify: iters left: 5 (27 enodes) 1540202272.594 * * [misc]simplify: iters left: 4 (46 enodes) 1540202272.603 * * [misc]simplify: iters left: 3 (94 enodes) 1540202272.620 * * [misc]simplify: iters left: 2 (181 enodes) 1540202272.659 * * [misc]simplify: iters left: 1 (322 enodes) 1540202272.762 * [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))))) 1540202272.762 * [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))))))) 1540202272.762 * * * * [misc]progress: [ 1179 / 6878 ] simplifiying candidate # 1540202272.763 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ 1 (pow 2 1/2))) 1540202272.763 * * [misc]simplify: iters left: 6 (11 enodes) 1540202272.766 * * [misc]simplify: iters left: 5 (21 enodes) 1540202272.769 * * [misc]simplify: iters left: 4 (25 enodes) 1540202272.772 * * [misc]simplify: iters left: 3 (30 enodes) 1540202272.776 * * [misc]simplify: iters left: 2 (36 enodes) 1540202272.783 * * [misc]simplify: iters left: 1 (44 enodes) 1540202272.789 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202272.789 * [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))))))) 1540202272.789 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202272.789 * * [misc]simplify: iters left: 6 (17 enodes) 1540202272.792 * * [misc]simplify: iters left: 5 (26 enodes) 1540202272.795 * * [misc]simplify: iters left: 4 (44 enodes) 1540202272.802 * * [misc]simplify: iters left: 3 (89 enodes) 1540202272.818 * * [misc]simplify: iters left: 2 (154 enodes) 1540202272.850 * * [misc]simplify: iters left: 1 (238 enodes) 1540202272.905 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202272.905 * [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)))))) 1540202272.905 * * * * [misc]progress: [ 1180 / 6878 ] simplifiying candidate # 1540202272.906 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ 1 (pow 2 1/2))) 1540202272.906 * * [misc]simplify: iters left: 6 (11 enodes) 1540202272.909 * * [misc]simplify: iters left: 5 (21 enodes) 1540202272.912 * * [misc]simplify: iters left: 4 (25 enodes) 1540202272.915 * * [misc]simplify: iters left: 3 (30 enodes) 1540202272.918 * * [misc]simplify: iters left: 2 (36 enodes) 1540202272.924 * * [misc]simplify: iters left: 1 (44 enodes) 1540202272.930 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202272.930 * [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))))))) 1540202272.930 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202272.931 * * [misc]simplify: iters left: 6 (17 enodes) 1540202272.933 * * [misc]simplify: iters left: 5 (26 enodes) 1540202272.937 * * [misc]simplify: iters left: 4 (44 enodes) 1540202272.943 * * [misc]simplify: iters left: 3 (89 enodes) 1540202272.959 * * [misc]simplify: iters left: 2 (154 enodes) 1540202272.992 * * [misc]simplify: iters left: 1 (238 enodes) 1540202273.048 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202273.048 * [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)))))) 1540202273.048 * * * * [misc]progress: [ 1181 / 6878 ] simplifiying candidate # 1540202273.048 * [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))))))) 1540202273.048 * * [misc]simplify: iters left: 6 (16 enodes) 1540202273.051 * * [misc]simplify: iters left: 5 (29 enodes) 1540202273.056 * * [misc]simplify: iters left: 4 (41 enodes) 1540202273.061 * * [misc]simplify: iters left: 3 (58 enodes) 1540202273.068 * * [misc]simplify: iters left: 2 (81 enodes) 1540202273.082 * * [misc]simplify: iters left: 1 (147 enodes) 1540202273.128 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202273.128 * [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)))))))) 1540202273.128 * [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)))))) 1540202273.128 * * [misc]simplify: iters left: 6 (18 enodes) 1540202273.131 * * [misc]simplify: iters left: 5 (27 enodes) 1540202273.134 * * [misc]simplify: iters left: 4 (45 enodes) 1540202273.141 * * [misc]simplify: iters left: 3 (90 enodes) 1540202273.157 * * [misc]simplify: iters left: 2 (155 enodes) 1540202273.190 * * [misc]simplify: iters left: 1 (239 enodes) 1540202273.245 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202273.245 * [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))))))) 1540202273.245 * * * * [misc]progress: [ 1182 / 6878 ] simplifiying candidate # 1540202273.245 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202273.245 * * [misc]simplify: iters left: 6 (15 enodes) 1540202273.248 * * [misc]simplify: iters left: 5 (26 enodes) 1540202273.252 * * [misc]simplify: iters left: 4 (33 enodes) 1540202273.256 * * [misc]simplify: iters left: 3 (38 enodes) 1540202273.260 * * [misc]simplify: iters left: 2 (46 enodes) 1540202273.265 * * [misc]simplify: iters left: 1 (55 enodes) 1540202273.272 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) 1540202273.272 * [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)))))))) 1540202273.272 * [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)))))) 1540202273.272 * * [misc]simplify: iters left: 6 (18 enodes) 1540202273.275 * * [misc]simplify: iters left: 5 (27 enodes) 1540202273.279 * * [misc]simplify: iters left: 4 (45 enodes) 1540202273.287 * * [misc]simplify: iters left: 3 (90 enodes) 1540202273.303 * * [misc]simplify: iters left: 2 (155 enodes) 1540202273.334 * * [misc]simplify: iters left: 1 (239 enodes) 1540202273.389 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202273.389 * [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))))))) 1540202273.389 * * * * [misc]progress: [ 1183 / 6878 ] simplifiying candidate # 1540202273.389 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ 1 1)) 1540202273.389 * * [misc]simplify: iters left: 6 (9 enodes) 1540202273.392 * * [misc]simplify: iters left: 5 (16 enodes) 1540202273.393 * [exit]simplify: Simplified to (sqrt PI) 1540202273.393 * [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))))))) 1540202273.394 * [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))))) 1540202273.394 * * [misc]simplify: iters left: 6 (17 enodes) 1540202273.396 * * [misc]simplify: iters left: 5 (26 enodes) 1540202273.400 * * [misc]simplify: iters left: 4 (44 enodes) 1540202273.407 * * [misc]simplify: iters left: 3 (89 enodes) 1540202273.423 * * [misc]simplify: iters left: 2 (154 enodes) 1540202273.454 * * [misc]simplify: iters left: 1 (238 enodes) 1540202273.510 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540202273.510 * [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))))))) 1540202273.510 * * * * [misc]progress: [ 1184 / 6878 ] simplifiying candidate # 1540202273.510 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) 1) 1540202273.510 * * [misc]simplify: iters left: 6 (8 enodes) 1540202273.513 * * [misc]simplify: iters left: 5 (15 enodes) 1540202273.514 * [exit]simplify: Simplified to (sqrt PI) 1540202273.514 * [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))))))) 1540202273.514 * [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))))) 1540202273.514 * * [misc]simplify: iters left: 6 (17 enodes) 1540202273.517 * * [misc]simplify: iters left: 5 (26 enodes) 1540202273.520 * * [misc]simplify: iters left: 4 (44 enodes) 1540202273.527 * * [misc]simplify: iters left: 3 (89 enodes) 1540202273.545 * * [misc]simplify: iters left: 2 (154 enodes) 1540202273.576 * * [misc]simplify: iters left: 1 (238 enodes) 1540202273.631 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540202273.631 * [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))))))) 1540202273.631 * * * * [misc]progress: [ 1185 / 6878 ] simplifiying candidate # 1540202273.631 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (sqrt (sqrt k))) 1540202273.631 * * [misc]simplify: iters left: 6 (11 enodes) 1540202273.633 * * [misc]simplify: iters left: 5 (18 enodes) 1540202273.635 * * [misc]simplify: iters left: 4 (19 enodes) 1540202273.638 * * [misc]simplify: iters left: 3 (29 enodes) 1540202273.641 * * [misc]simplify: iters left: 2 (38 enodes) 1540202273.646 * * [misc]simplify: iters left: 1 (49 enodes) 1540202273.653 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202273.653 * [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))))))) 1540202273.653 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202273.653 * * [misc]simplify: iters left: 6 (18 enodes) 1540202273.656 * * [misc]simplify: iters left: 5 (29 enodes) 1540202273.661 * * [misc]simplify: iters left: 4 (46 enodes) 1540202273.668 * * [misc]simplify: iters left: 3 (98 enodes) 1540202273.686 * * [misc]simplify: iters left: 2 (205 enodes) 1540202273.748 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540202273.748 * [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)))))) 1540202273.748 * * * * [misc]progress: [ 1186 / 6878 ] simplifiying candidate # 1540202273.748 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202273.748 * * [misc]simplify: iters left: 6 (14 enodes) 1540202273.752 * * [misc]simplify: iters left: 5 (24 enodes) 1540202273.755 * * [misc]simplify: iters left: 4 (30 enodes) 1540202273.760 * * [misc]simplify: iters left: 3 (53 enodes) 1540202273.768 * * [misc]simplify: iters left: 2 (97 enodes) 1540202273.791 * * [misc]simplify: iters left: 1 (152 enodes) 1540202273.825 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540202273.825 * [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))))) 1540202273.825 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540202273.825 * * [misc]simplify: iters left: 6 (16 enodes) 1540202273.827 * * [misc]simplify: iters left: 5 (23 enodes) 1540202273.830 * * [misc]simplify: iters left: 4 (34 enodes) 1540202273.835 * * [misc]simplify: iters left: 3 (49 enodes) 1540202273.842 * * [misc]simplify: iters left: 2 (66 enodes) 1540202273.851 * * [misc]simplify: iters left: 1 (83 enodes) 1540202273.864 * [exit]simplify: Simplified to (* (/ (pow n (- 1/2 (/ k 2))) (pow 2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540202273.864 * [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)))))) 1540202273.864 * * * * [misc]progress: [ 1187 / 6878 ] simplifiying candidate # 1540202273.865 * [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))))))) 1540202273.865 * * [misc]simplify: iters left: 6 (19 enodes) 1540202273.867 * * [misc]simplify: iters left: 5 (29 enodes) 1540202273.871 * * [misc]simplify: iters left: 4 (50 enodes) 1540202273.879 * * [misc]simplify: iters left: 3 (85 enodes) 1540202273.892 * * [misc]simplify: iters left: 2 (132 enodes) 1540202273.915 * * [misc]simplify: iters left: 1 (198 enodes) 1540202273.953 * [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))))))) 1540202273.953 * [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)))))))) 1540202273.953 * [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)))))) 1540202273.953 * * [misc]simplify: iters left: 6 (19 enodes) 1540202273.956 * * [misc]simplify: iters left: 5 (26 enodes) 1540202273.959 * * [misc]simplify: iters left: 4 (37 enodes) 1540202273.964 * * [misc]simplify: iters left: 3 (52 enodes) 1540202273.971 * * [misc]simplify: iters left: 2 (69 enodes) 1540202273.981 * * [misc]simplify: iters left: 1 (86 enodes) 1540202273.993 * [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)))))) 1540202273.993 * [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)))))))) 1540202273.993 * * * * [misc]progress: [ 1188 / 6878 ] simplifiying candidate # 1540202273.994 * [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)))))) 1540202273.994 * * [misc]simplify: iters left: 6 (18 enodes) 1540202273.996 * * [misc]simplify: iters left: 5 (26 enodes) 1540202274.000 * * [misc]simplify: iters left: 4 (39 enodes) 1540202274.005 * * [misc]simplify: iters left: 3 (54 enodes) 1540202274.012 * * [misc]simplify: iters left: 2 (71 enodes) 1540202274.021 * * [misc]simplify: iters left: 1 (88 enodes) 1540202274.033 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202274.033 * [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)))))))) 1540202274.033 * [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)))))) 1540202274.034 * * [misc]simplify: iters left: 6 (19 enodes) 1540202274.036 * * [misc]simplify: iters left: 5 (26 enodes) 1540202274.040 * * [misc]simplify: iters left: 4 (37 enodes) 1540202274.045 * * [misc]simplify: iters left: 3 (52 enodes) 1540202274.053 * * [misc]simplify: iters left: 2 (69 enodes) 1540202274.062 * * [misc]simplify: iters left: 1 (86 enodes) 1540202274.073 * [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)))))) 1540202274.073 * [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)))))))) 1540202274.073 * * * * [misc]progress: [ 1189 / 6878 ] simplifiying candidate # 1540202274.074 * [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))) 1540202274.074 * * [misc]simplify: iters left: 6 (17 enodes) 1540202274.077 * * [misc]simplify: iters left: 5 (28 enodes) 1540202274.082 * * [misc]simplify: iters left: 4 (56 enodes) 1540202274.093 * * [misc]simplify: iters left: 3 (158 enodes) 1540202274.139 * * [misc]simplify: iters left: 2 (409 enodes) 1540202274.339 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202274.339 * [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))))))) 1540202274.339 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202274.339 * * [misc]simplify: iters left: 6 (17 enodes) 1540202274.341 * * [misc]simplify: iters left: 5 (25 enodes) 1540202274.345 * * [misc]simplify: iters left: 4 (43 enodes) 1540202274.351 * * [misc]simplify: iters left: 3 (91 enodes) 1540202274.370 * * [misc]simplify: iters left: 2 (178 enodes) 1540202274.408 * * [misc]simplify: iters left: 1 (319 enodes) 1540202274.508 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540202274.508 * [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))))))) 1540202274.508 * * * * [misc]progress: [ 1190 / 6878 ] simplifiying candidate # 1540202274.508 * [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))) 1540202274.508 * * [misc]simplify: iters left: 6 (17 enodes) 1540202274.511 * * [misc]simplify: iters left: 5 (28 enodes) 1540202274.516 * * [misc]simplify: iters left: 4 (56 enodes) 1540202274.526 * * [misc]simplify: iters left: 3 (158 enodes) 1540202274.571 * * [misc]simplify: iters left: 2 (409 enodes) 1540202274.746 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202274.746 * [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))))))) 1540202274.746 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202274.747 * * [misc]simplify: iters left: 6 (17 enodes) 1540202274.751 * * [misc]simplify: iters left: 5 (25 enodes) 1540202274.754 * * [misc]simplify: iters left: 4 (43 enodes) 1540202274.761 * * [misc]simplify: iters left: 3 (91 enodes) 1540202274.777 * * [misc]simplify: iters left: 2 (178 enodes) 1540202274.817 * * [misc]simplify: iters left: 1 (319 enodes) 1540202274.917 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540202274.917 * [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))))))) 1540202274.917 * * * * [misc]progress: [ 1191 / 6878 ] simplifiying candidate # 1540202274.917 * [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))))))) 1540202274.917 * * [misc]simplify: iters left: 6 (21 enodes) 1540202274.920 * * [misc]simplify: iters left: 5 (37 enodes) 1540202274.928 * * [misc]simplify: iters left: 4 (88 enodes) 1540202274.945 * * [misc]simplify: iters left: 3 (262 enodes) 1540202275.052 * [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)))))) 1540202275.052 * [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)))))))) 1540202275.052 * [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)))))) 1540202275.052 * * [misc]simplify: iters left: 6 (20 enodes) 1540202275.055 * * [misc]simplify: iters left: 5 (29 enodes) 1540202275.059 * * [misc]simplify: iters left: 4 (48 enodes) 1540202275.067 * * [misc]simplify: iters left: 3 (96 enodes) 1540202275.084 * * [misc]simplify: iters left: 2 (183 enodes) 1540202275.124 * * [misc]simplify: iters left: 1 (325 enodes) 1540202275.230 * [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))))) 1540202275.230 * [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))))))) 1540202275.230 * * * * [misc]progress: [ 1192 / 6878 ] simplifiying candidate # 1540202275.230 * [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)))))) 1540202275.230 * * [misc]simplify: iters left: 6 (20 enodes) 1540202275.233 * * [misc]simplify: iters left: 5 (32 enodes) 1540202275.238 * * [misc]simplify: iters left: 4 (63 enodes) 1540202275.249 * * [misc]simplify: iters left: 3 (165 enodes) 1540202275.295 * * [misc]simplify: iters left: 2 (420 enodes) 1540202275.519 * [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)))))) 1540202275.519 * [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)))))))) 1540202275.519 * [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)))))) 1540202275.519 * * [misc]simplify: iters left: 6 (20 enodes) 1540202275.525 * * [misc]simplify: iters left: 5 (29 enodes) 1540202275.533 * * [misc]simplify: iters left: 4 (48 enodes) 1540202275.547 * * [misc]simplify: iters left: 3 (96 enodes) 1540202275.585 * * [misc]simplify: iters left: 2 (183 enodes) 1540202275.660 * * [misc]simplify: iters left: 1 (325 enodes) 1540202275.840 * [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))))) 1540202275.840 * [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))))))) 1540202275.840 * * * * [misc]progress: [ 1193 / 6878 ] simplifiying candidate # 1540202275.840 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202275.840 * * [misc]simplify: iters left: 6 (16 enodes) 1540202275.842 * * [misc]simplify: iters left: 5 (28 enodes) 1540202275.847 * * [misc]simplify: iters left: 4 (56 enodes) 1540202275.856 * * [misc]simplify: iters left: 3 (111 enodes) 1540202275.881 * * [misc]simplify: iters left: 2 (306 enodes) 1540202276.063 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202276.063 * [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))))))) 1540202276.065 * [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))))) 1540202276.066 * * [misc]simplify: iters left: 6 (19 enodes) 1540202276.068 * * [misc]simplify: iters left: 5 (28 enodes) 1540202276.072 * * [misc]simplify: iters left: 4 (47 enodes) 1540202276.079 * * [misc]simplify: iters left: 3 (95 enodes) 1540202276.097 * * [misc]simplify: iters left: 2 (182 enodes) 1540202276.137 * * [misc]simplify: iters left: 1 (322 enodes) 1540202276.239 * [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)))))) 1540202276.239 * [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)))))))) 1540202276.239 * * * * [misc]progress: [ 1194 / 6878 ] simplifiying candidate # 1540202276.239 * [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))) 1540202276.239 * * [misc]simplify: iters left: 6 (18 enodes) 1540202276.244 * * [misc]simplify: iters left: 5 (28 enodes) 1540202276.249 * * [misc]simplify: iters left: 4 (46 enodes) 1540202276.256 * * [misc]simplify: iters left: 3 (94 enodes) 1540202276.274 * * [misc]simplify: iters left: 2 (181 enodes) 1540202276.315 * * [misc]simplify: iters left: 1 (322 enodes) 1540202276.419 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202276.419 * [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))))))) 1540202276.419 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202276.419 * * [misc]simplify: iters left: 6 (18 enodes) 1540202276.422 * * [misc]simplify: iters left: 5 (26 enodes) 1540202276.425 * * [misc]simplify: iters left: 4 (44 enodes) 1540202276.432 * * [misc]simplify: iters left: 3 (92 enodes) 1540202276.449 * * [misc]simplify: iters left: 2 (179 enodes) 1540202276.488 * * [misc]simplify: iters left: 1 (315 enodes) 1540202276.587 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202276.587 * [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))))) 1540202276.587 * * * * [misc]progress: [ 1195 / 6878 ] simplifiying candidate # 1540202276.587 * [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))) 1540202276.587 * * [misc]simplify: iters left: 6 (18 enodes) 1540202276.592 * * [misc]simplify: iters left: 5 (28 enodes) 1540202276.596 * * [misc]simplify: iters left: 4 (46 enodes) 1540202276.603 * * [misc]simplify: iters left: 3 (94 enodes) 1540202276.621 * * [misc]simplify: iters left: 2 (181 enodes) 1540202276.660 * * [misc]simplify: iters left: 1 (322 enodes) 1540202276.760 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202276.760 * [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))))))) 1540202276.761 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202276.761 * * [misc]simplify: iters left: 6 (18 enodes) 1540202276.765 * * [misc]simplify: iters left: 5 (26 enodes) 1540202276.768 * * [misc]simplify: iters left: 4 (44 enodes) 1540202276.775 * * [misc]simplify: iters left: 3 (92 enodes) 1540202276.791 * * [misc]simplify: iters left: 2 (179 enodes) 1540202276.830 * * [misc]simplify: iters left: 1 (315 enodes) 1540202276.928 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202276.928 * [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))))) 1540202276.928 * * * * [misc]progress: [ 1196 / 6878 ] simplifiying candidate # 1540202276.929 * [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))))))) 1540202276.929 * * [misc]simplify: iters left: 6 (22 enodes) 1540202276.932 * * [misc]simplify: iters left: 5 (35 enodes) 1540202276.938 * * [misc]simplify: iters left: 4 (62 enodes) 1540202276.948 * * [misc]simplify: iters left: 3 (141 enodes) 1540202276.983 * * [misc]simplify: iters left: 2 (337 enodes) 1540202277.121 * [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)))))) 1540202277.121 * [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)))))))) 1540202277.121 * [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)))))) 1540202277.121 * * [misc]simplify: iters left: 6 (21 enodes) 1540202277.124 * * [misc]simplify: iters left: 5 (30 enodes) 1540202277.128 * * [misc]simplify: iters left: 4 (49 enodes) 1540202277.136 * * [misc]simplify: iters left: 3 (97 enodes) 1540202277.153 * * [misc]simplify: iters left: 2 (184 enodes) 1540202277.194 * * [misc]simplify: iters left: 1 (320 enodes) 1540202277.294 * [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)))))) 1540202277.294 * [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)))))))) 1540202277.294 * * * * [misc]progress: [ 1197 / 6878 ] simplifiying candidate # 1540202277.295 * [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)))))) 1540202277.295 * * [misc]simplify: iters left: 6 (21 enodes) 1540202277.298 * * [misc]simplify: iters left: 5 (32 enodes) 1540202277.302 * * [misc]simplify: iters left: 4 (53 enodes) 1540202277.310 * * [misc]simplify: iters left: 3 (101 enodes) 1540202277.328 * * [misc]simplify: iters left: 2 (188 enodes) 1540202277.369 * * [misc]simplify: iters left: 1 (325 enodes) 1540202277.475 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1540202277.475 * [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)))))))) 1540202277.476 * [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)))))) 1540202277.476 * * [misc]simplify: iters left: 6 (21 enodes) 1540202277.479 * * [misc]simplify: iters left: 5 (30 enodes) 1540202277.483 * * [misc]simplify: iters left: 4 (49 enodes) 1540202277.490 * * [misc]simplify: iters left: 3 (97 enodes) 1540202277.507 * * [misc]simplify: iters left: 2 (184 enodes) 1540202277.554 * * [misc]simplify: iters left: 1 (320 enodes) 1540202277.655 * [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)))))) 1540202277.655 * [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)))))))) 1540202277.655 * * * * [misc]progress: [ 1198 / 6878 ] simplifiying candidate # 1540202277.655 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202277.655 * * [misc]simplify: iters left: 6 (17 enodes) 1540202277.658 * * [misc]simplify: iters left: 5 (27 enodes) 1540202277.662 * * [misc]simplify: iters left: 4 (42 enodes) 1540202277.668 * * [misc]simplify: iters left: 3 (76 enodes) 1540202277.683 * * [misc]simplify: iters left: 2 (155 enodes) 1540202277.725 * * [misc]simplify: iters left: 1 (338 enodes) 1540202277.862 * [exit]simplify: Simplified to (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202277.862 * [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))))))) 1540202277.862 * [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))))) 1540202277.862 * * [misc]simplify: iters left: 6 (20 enodes) 1540202277.865 * * [misc]simplify: iters left: 5 (29 enodes) 1540202277.869 * * [misc]simplify: iters left: 4 (48 enodes) 1540202277.877 * * [misc]simplify: iters left: 3 (96 enodes) 1540202277.896 * * [misc]simplify: iters left: 2 (183 enodes) 1540202277.935 * * [misc]simplify: iters left: 1 (325 enodes) 1540202278.038 * [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))))) 1540202278.039 * [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))))))) 1540202278.039 * * * * [misc]progress: [ 1199 / 6878 ] simplifiying candidate # 1540202278.039 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202278.039 * * [misc]simplify: iters left: 6 (15 enodes) 1540202278.042 * * [misc]simplify: iters left: 5 (24 enodes) 1540202278.046 * * [misc]simplify: iters left: 4 (41 enodes) 1540202278.053 * * [misc]simplify: iters left: 3 (86 enodes) 1540202278.070 * * [misc]simplify: iters left: 2 (151 enodes) 1540202278.101 * * [misc]simplify: iters left: 1 (230 enodes) 1540202278.153 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202278.153 * [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))))))) 1540202278.154 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202278.154 * * [misc]simplify: iters left: 6 (16 enodes) 1540202278.156 * * [misc]simplify: iters left: 5 (24 enodes) 1540202278.159 * * [misc]simplify: iters left: 4 (41 enodes) 1540202278.166 * * [misc]simplify: iters left: 3 (86 enodes) 1540202278.182 * * [misc]simplify: iters left: 2 (151 enodes) 1540202278.214 * * [misc]simplify: iters left: 1 (234 enodes) 1540202278.270 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202278.270 * [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)))))) 1540202278.270 * * * * [misc]progress: [ 1200 / 6878 ] simplifiying candidate # 1540202278.270 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202278.270 * * [misc]simplify: iters left: 6 (15 enodes) 1540202278.273 * * [misc]simplify: iters left: 5 (24 enodes) 1540202278.277 * * [misc]simplify: iters left: 4 (41 enodes) 1540202278.285 * * [misc]simplify: iters left: 3 (86 enodes) 1540202278.301 * * [misc]simplify: iters left: 2 (151 enodes) 1540202278.333 * * [misc]simplify: iters left: 1 (230 enodes) 1540202278.385 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202278.385 * [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))))))) 1540202278.386 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202278.386 * * [misc]simplify: iters left: 6 (16 enodes) 1540202278.388 * * [misc]simplify: iters left: 5 (24 enodes) 1540202278.392 * * [misc]simplify: iters left: 4 (41 enodes) 1540202278.405 * * [misc]simplify: iters left: 3 (86 enodes) 1540202278.436 * * [misc]simplify: iters left: 2 (151 enodes) 1540202278.469 * * [misc]simplify: iters left: 1 (234 enodes) 1540202278.525 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202278.525 * [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)))))) 1540202278.525 * * * * [misc]progress: [ 1201 / 6878 ] simplifiying candidate # 1540202278.525 * [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))))))) 1540202278.525 * * [misc]simplify: iters left: 6 (19 enodes) 1540202278.528 * * [misc]simplify: iters left: 5 (31 enodes) 1540202278.533 * * [misc]simplify: iters left: 4 (57 enodes) 1540202278.542 * * [misc]simplify: iters left: 3 (133 enodes) 1540202278.572 * * [misc]simplify: iters left: 2 (298 enodes) 1540202278.683 * [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)))))) 1540202278.683 * [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)))))))) 1540202278.683 * [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)))))) 1540202278.683 * * [misc]simplify: iters left: 6 (19 enodes) 1540202278.687 * * [misc]simplify: iters left: 5 (28 enodes) 1540202278.691 * * [misc]simplify: iters left: 4 (46 enodes) 1540202278.698 * * [misc]simplify: iters left: 3 (91 enodes) 1540202278.714 * * [misc]simplify: iters left: 2 (156 enodes) 1540202278.746 * * [misc]simplify: iters left: 1 (236 enodes) 1540202278.798 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202278.798 * [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)))))))) 1540202278.799 * * * * [misc]progress: [ 1202 / 6878 ] simplifiying candidate # 1540202278.799 * [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)))))) 1540202278.799 * * [misc]simplify: iters left: 6 (18 enodes) 1540202278.801 * * [misc]simplify: iters left: 5 (28 enodes) 1540202278.805 * * [misc]simplify: iters left: 4 (48 enodes) 1540202278.814 * * [misc]simplify: iters left: 3 (93 enodes) 1540202278.830 * * [misc]simplify: iters left: 2 (158 enodes) 1540202278.861 * * [misc]simplify: iters left: 1 (243 enodes) 1540202278.917 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202278.917 * [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)))))))) 1540202278.917 * [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)))))) 1540202278.917 * * [misc]simplify: iters left: 6 (19 enodes) 1540202278.920 * * [misc]simplify: iters left: 5 (28 enodes) 1540202278.923 * * [misc]simplify: iters left: 4 (46 enodes) 1540202278.931 * * [misc]simplify: iters left: 3 (91 enodes) 1540202278.947 * * [misc]simplify: iters left: 2 (156 enodes) 1540202278.978 * * [misc]simplify: iters left: 1 (236 enodes) 1540202279.043 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202279.043 * [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)))))))) 1540202279.043 * * * * [misc]progress: [ 1203 / 6878 ] simplifiying candidate # 1540202279.044 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202279.044 * * [misc]simplify: iters left: 6 (14 enodes) 1540202279.048 * * [misc]simplify: iters left: 5 (24 enodes) 1540202279.055 * * [misc]simplify: iters left: 4 (45 enodes) 1540202279.062 * * [misc]simplify: iters left: 3 (68 enodes) 1540202279.073 * * [misc]simplify: iters left: 2 (101 enodes) 1540202279.092 * * [misc]simplify: iters left: 1 (157 enodes) 1540202279.127 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202279.127 * [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))))))) 1540202279.127 * [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))))) 1540202279.127 * * [misc]simplify: iters left: 6 (18 enodes) 1540202279.130 * * [misc]simplify: iters left: 5 (27 enodes) 1540202279.135 * * [misc]simplify: iters left: 4 (45 enodes) 1540202279.142 * * [misc]simplify: iters left: 3 (90 enodes) 1540202279.158 * * [misc]simplify: iters left: 2 (155 enodes) 1540202279.189 * * [misc]simplify: iters left: 1 (239 enodes) 1540202279.243 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202279.243 * [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))))))) 1540202279.243 * * * * [misc]progress: [ 1204 / 6878 ] simplifiying candidate # 1540202279.244 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202279.244 * * [misc]simplify: iters left: 6 (17 enodes) 1540202279.247 * * [misc]simplify: iters left: 5 (28 enodes) 1540202279.251 * * [misc]simplify: iters left: 4 (48 enodes) 1540202279.262 * * [misc]simplify: iters left: 3 (115 enodes) 1540202279.286 * * [misc]simplify: iters left: 2 (271 enodes) 1540202279.383 * * [misc]simplify: iters left: 1 (496 enodes) 1540202279.617 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540202279.617 * [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))))))) 1540202279.617 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202279.617 * * [misc]simplify: iters left: 6 (16 enodes) 1540202279.619 * * [misc]simplify: iters left: 5 (24 enodes) 1540202279.623 * * [misc]simplify: iters left: 4 (42 enodes) 1540202279.629 * * [misc]simplify: iters left: 3 (90 enodes) 1540202279.646 * * [misc]simplify: iters left: 2 (177 enodes) 1540202279.686 * * [misc]simplify: iters left: 1 (315 enodes) 1540202279.786 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202279.786 * [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)))))) 1540202279.787 * * * * [misc]progress: [ 1205 / 6878 ] simplifiying candidate # 1540202279.787 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202279.787 * * [misc]simplify: iters left: 6 (17 enodes) 1540202279.790 * * [misc]simplify: iters left: 5 (28 enodes) 1540202279.794 * * [misc]simplify: iters left: 4 (48 enodes) 1540202279.803 * * [misc]simplify: iters left: 3 (115 enodes) 1540202279.828 * * [misc]simplify: iters left: 2 (271 enodes) 1540202279.925 * * [misc]simplify: iters left: 1 (496 enodes) 1540202280.161 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540202280.161 * [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))))))) 1540202280.162 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202280.162 * * [misc]simplify: iters left: 6 (16 enodes) 1540202280.164 * * [misc]simplify: iters left: 5 (24 enodes) 1540202280.168 * * [misc]simplify: iters left: 4 (42 enodes) 1540202280.176 * * [misc]simplify: iters left: 3 (90 enodes) 1540202280.193 * * [misc]simplify: iters left: 2 (177 enodes) 1540202280.232 * * [misc]simplify: iters left: 1 (315 enodes) 1540202280.331 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202280.331 * [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)))))) 1540202280.331 * * * * [misc]progress: [ 1206 / 6878 ] simplifiying candidate # 1540202280.331 * [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))))))) 1540202280.331 * * [misc]simplify: iters left: 6 (21 enodes) 1540202280.335 * * [misc]simplify: iters left: 5 (35 enodes) 1540202280.340 * * [misc]simplify: iters left: 4 (65 enodes) 1540202280.353 * * [misc]simplify: iters left: 3 (171 enodes) 1540202280.395 * * [misc]simplify: iters left: 2 (455 enodes) 1540202280.754 * [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)))) 1540202280.755 * [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)))))))) 1540202280.755 * [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)))))) 1540202280.755 * * [misc]simplify: iters left: 6 (19 enodes) 1540202280.759 * * [misc]simplify: iters left: 5 (28 enodes) 1540202280.765 * * [misc]simplify: iters left: 4 (47 enodes) 1540202280.777 * * [misc]simplify: iters left: 3 (95 enodes) 1540202280.805 * * [misc]simplify: iters left: 2 (182 enodes) 1540202280.867 * * [misc]simplify: iters left: 1 (320 enodes) 1540202281.031 * [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)))))) 1540202281.031 * [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)))))))) 1540202281.031 * * * * [misc]progress: [ 1207 / 6878 ] simplifiying candidate # 1540202281.032 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202281.032 * * [misc]simplify: iters left: 6 (20 enodes) 1540202281.037 * * [misc]simplify: iters left: 5 (32 enodes) 1540202281.045 * * [misc]simplify: iters left: 4 (55 enodes) 1540202281.059 * * [misc]simplify: iters left: 3 (122 enodes) 1540202281.100 * * [misc]simplify: iters left: 2 (285 enodes) 1540202281.254 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202281.254 * [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)))))))) 1540202281.254 * [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)))))) 1540202281.254 * * [misc]simplify: iters left: 6 (19 enodes) 1540202281.258 * * [misc]simplify: iters left: 5 (28 enodes) 1540202281.265 * * [misc]simplify: iters left: 4 (47 enodes) 1540202281.276 * * [misc]simplify: iters left: 3 (95 enodes) 1540202281.305 * * [misc]simplify: iters left: 2 (182 enodes) 1540202281.368 * * [misc]simplify: iters left: 1 (320 enodes) 1540202281.521 * [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)))))) 1540202281.521 * [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)))))))) 1540202281.521 * * * * [misc]progress: [ 1208 / 6878 ] simplifiying candidate # 1540202281.521 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202281.521 * * [misc]simplify: iters left: 6 (15 enodes) 1540202281.524 * * [misc]simplify: iters left: 5 (25 enodes) 1540202281.527 * * [misc]simplify: iters left: 4 (33 enodes) 1540202281.532 * * [misc]simplify: iters left: 3 (55 enodes) 1540202281.540 * * [misc]simplify: iters left: 2 (89 enodes) 1540202281.562 * * [misc]simplify: iters left: 1 (147 enodes) 1540202281.606 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202281.606 * [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))))))) 1540202281.607 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202281.607 * * [misc]simplify: iters left: 6 (18 enodes) 1540202281.609 * * [misc]simplify: iters left: 5 (27 enodes) 1540202281.613 * * [misc]simplify: iters left: 4 (46 enodes) 1540202281.621 * * [misc]simplify: iters left: 3 (94 enodes) 1540202281.638 * * [misc]simplify: iters left: 2 (181 enodes) 1540202281.678 * * [misc]simplify: iters left: 1 (322 enodes) 1540202281.781 * [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)))) 1540202281.781 * [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)))))) 1540202281.781 * * * * [misc]progress: [ 1209 / 6878 ] simplifiying candidate # 1540202281.781 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202281.781 * * [misc]simplify: iters left: 6 (15 enodes) 1540202281.784 * * [misc]simplify: iters left: 5 (24 enodes) 1540202281.788 * * [misc]simplify: iters left: 4 (41 enodes) 1540202281.797 * * [misc]simplify: iters left: 3 (86 enodes) 1540202281.813 * * [misc]simplify: iters left: 2 (151 enodes) 1540202281.843 * * [misc]simplify: iters left: 1 (230 enodes) 1540202281.896 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202281.896 * [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))))))) 1540202281.896 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202281.897 * * [misc]simplify: iters left: 6 (16 enodes) 1540202281.899 * * [misc]simplify: iters left: 5 (24 enodes) 1540202281.902 * * [misc]simplify: iters left: 4 (41 enodes) 1540202281.909 * * [misc]simplify: iters left: 3 (86 enodes) 1540202281.926 * * [misc]simplify: iters left: 2 (151 enodes) 1540202281.956 * * [misc]simplify: iters left: 1 (234 enodes) 1540202282.031 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202282.031 * [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)))))) 1540202282.031 * * * * [misc]progress: [ 1210 / 6878 ] simplifiying candidate # 1540202282.031 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202282.031 * * [misc]simplify: iters left: 6 (15 enodes) 1540202282.035 * * [misc]simplify: iters left: 5 (24 enodes) 1540202282.039 * * [misc]simplify: iters left: 4 (41 enodes) 1540202282.046 * * [misc]simplify: iters left: 3 (86 enodes) 1540202282.063 * * [misc]simplify: iters left: 2 (151 enodes) 1540202282.094 * * [misc]simplify: iters left: 1 (230 enodes) 1540202282.146 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202282.146 * [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))))))) 1540202282.146 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202282.146 * * [misc]simplify: iters left: 6 (16 enodes) 1540202282.149 * * [misc]simplify: iters left: 5 (24 enodes) 1540202282.152 * * [misc]simplify: iters left: 4 (41 enodes) 1540202282.159 * * [misc]simplify: iters left: 3 (86 enodes) 1540202282.174 * * [misc]simplify: iters left: 2 (151 enodes) 1540202282.207 * * [misc]simplify: iters left: 1 (234 enodes) 1540202282.263 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202282.263 * [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)))))) 1540202282.263 * * * * [misc]progress: [ 1211 / 6878 ] simplifiying candidate # 1540202282.263 * [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))))))) 1540202282.263 * * [misc]simplify: iters left: 6 (19 enodes) 1540202282.266 * * [misc]simplify: iters left: 5 (31 enodes) 1540202282.271 * * [misc]simplify: iters left: 4 (57 enodes) 1540202282.281 * * [misc]simplify: iters left: 3 (133 enodes) 1540202282.313 * * [misc]simplify: iters left: 2 (298 enodes) 1540202282.426 * [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)))))) 1540202282.426 * [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)))))))) 1540202282.426 * [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)))))) 1540202282.426 * * [misc]simplify: iters left: 6 (19 enodes) 1540202282.431 * * [misc]simplify: iters left: 5 (28 enodes) 1540202282.438 * * [misc]simplify: iters left: 4 (46 enodes) 1540202282.450 * * [misc]simplify: iters left: 3 (91 enodes) 1540202282.477 * * [misc]simplify: iters left: 2 (156 enodes) 1540202282.532 * * [misc]simplify: iters left: 1 (236 enodes) 1540202282.619 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202282.619 * [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)))))))) 1540202282.619 * * * * [misc]progress: [ 1212 / 6878 ] simplifiying candidate # 1540202282.619 * [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)))))) 1540202282.619 * * [misc]simplify: iters left: 6 (18 enodes) 1540202282.625 * * [misc]simplify: iters left: 5 (28 enodes) 1540202282.632 * * [misc]simplify: iters left: 4 (48 enodes) 1540202282.644 * * [misc]simplify: iters left: 3 (93 enodes) 1540202282.672 * * [misc]simplify: iters left: 2 (158 enodes) 1540202282.726 * * [misc]simplify: iters left: 1 (243 enodes) 1540202282.816 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202282.817 * [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)))))))) 1540202282.817 * [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)))))) 1540202282.817 * * [misc]simplify: iters left: 6 (19 enodes) 1540202282.821 * * [misc]simplify: iters left: 5 (28 enodes) 1540202282.828 * * [misc]simplify: iters left: 4 (46 enodes) 1540202282.839 * * [misc]simplify: iters left: 3 (91 enodes) 1540202282.864 * * [misc]simplify: iters left: 2 (156 enodes) 1540202282.915 * * [misc]simplify: iters left: 1 (236 enodes) 1540202283.002 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202283.002 * [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)))))))) 1540202283.002 * * * * [misc]progress: [ 1213 / 6878 ] simplifiying candidate # 1540202283.003 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202283.003 * * [misc]simplify: iters left: 6 (14 enodes) 1540202283.006 * * [misc]simplify: iters left: 5 (24 enodes) 1540202283.011 * * [misc]simplify: iters left: 4 (45 enodes) 1540202283.020 * * [misc]simplify: iters left: 3 (68 enodes) 1540202283.029 * * [misc]simplify: iters left: 2 (101 enodes) 1540202283.048 * * [misc]simplify: iters left: 1 (157 enodes) 1540202283.085 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202283.085 * [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))))))) 1540202283.085 * [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))))) 1540202283.085 * * [misc]simplify: iters left: 6 (18 enodes) 1540202283.088 * * [misc]simplify: iters left: 5 (27 enodes) 1540202283.091 * * [misc]simplify: iters left: 4 (45 enodes) 1540202283.098 * * [misc]simplify: iters left: 3 (90 enodes) 1540202283.114 * * [misc]simplify: iters left: 2 (155 enodes) 1540202283.146 * * [misc]simplify: iters left: 1 (239 enodes) 1540202283.200 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202283.200 * [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))))))) 1540202283.200 * * * * [misc]progress: [ 1214 / 6878 ] simplifiying candidate # 1540202283.200 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202283.200 * * [misc]simplify: iters left: 6 (16 enodes) 1540202283.204 * * [misc]simplify: iters left: 5 (27 enodes) 1540202283.208 * * [misc]simplify: iters left: 4 (43 enodes) 1540202283.216 * * [misc]simplify: iters left: 3 (95 enodes) 1540202283.240 * * [misc]simplify: iters left: 2 (200 enodes) 1540202283.308 * * [misc]simplify: iters left: 1 (409 enodes) 1540202283.498 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202283.498 * [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))))))) 1540202283.498 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202283.498 * * [misc]simplify: iters left: 6 (16 enodes) 1540202283.501 * * [misc]simplify: iters left: 5 (24 enodes) 1540202283.504 * * [misc]simplify: iters left: 4 (42 enodes) 1540202283.511 * * [misc]simplify: iters left: 3 (90 enodes) 1540202283.530 * * [misc]simplify: iters left: 2 (177 enodes) 1540202283.583 * * [misc]simplify: iters left: 1 (315 enodes) 1540202283.688 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202283.688 * [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)))))) 1540202283.688 * * * * [misc]progress: [ 1215 / 6878 ] simplifiying candidate # 1540202283.688 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202283.688 * * [misc]simplify: iters left: 6 (16 enodes) 1540202283.691 * * [misc]simplify: iters left: 5 (27 enodes) 1540202283.697 * * [misc]simplify: iters left: 4 (43 enodes) 1540202283.704 * * [misc]simplify: iters left: 3 (95 enodes) 1540202283.722 * * [misc]simplify: iters left: 2 (200 enodes) 1540202283.786 * * [misc]simplify: iters left: 1 (409 enodes) 1540202283.976 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202283.976 * [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))))))) 1540202283.976 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202283.976 * * [misc]simplify: iters left: 6 (16 enodes) 1540202283.980 * * [misc]simplify: iters left: 5 (24 enodes) 1540202283.984 * * [misc]simplify: iters left: 4 (42 enodes) 1540202283.990 * * [misc]simplify: iters left: 3 (90 enodes) 1540202284.007 * * [misc]simplify: iters left: 2 (177 enodes) 1540202284.046 * * [misc]simplify: iters left: 1 (315 enodes) 1540202284.144 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202284.144 * [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)))))) 1540202284.144 * * * * [misc]progress: [ 1216 / 6878 ] simplifiying candidate # 1540202284.144 * [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))))))) 1540202284.145 * * [misc]simplify: iters left: 6 (20 enodes) 1540202284.147 * * [misc]simplify: iters left: 5 (34 enodes) 1540202284.153 * * [misc]simplify: iters left: 4 (59 enodes) 1540202284.164 * * [misc]simplify: iters left: 3 (153 enodes) 1540202284.199 * * [misc]simplify: iters left: 2 (394 enodes) 1540202284.391 * [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))))) 1540202284.391 * [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)))))))) 1540202284.391 * [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)))))) 1540202284.391 * * [misc]simplify: iters left: 6 (19 enodes) 1540202284.394 * * [misc]simplify: iters left: 5 (28 enodes) 1540202284.398 * * [misc]simplify: iters left: 4 (47 enodes) 1540202284.405 * * [misc]simplify: iters left: 3 (95 enodes) 1540202284.422 * * [misc]simplify: iters left: 2 (182 enodes) 1540202284.461 * * [misc]simplify: iters left: 1 (320 enodes) 1540202284.563 * [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)))))) 1540202284.563 * [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)))))))) 1540202284.563 * * * * [misc]progress: [ 1217 / 6878 ] simplifiying candidate # 1540202284.564 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202284.564 * * [misc]simplify: iters left: 6 (19 enodes) 1540202284.566 * * [misc]simplify: iters left: 5 (31 enodes) 1540202284.570 * * [misc]simplify: iters left: 4 (50 enodes) 1540202284.578 * * [misc]simplify: iters left: 3 (102 enodes) 1540202284.596 * * [misc]simplify: iters left: 2 (206 enodes) 1540202284.654 * * [misc]simplify: iters left: 1 (437 enodes) 1540202284.914 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202284.914 * [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)))))))) 1540202284.915 * [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)))))) 1540202284.915 * * [misc]simplify: iters left: 6 (19 enodes) 1540202284.918 * * [misc]simplify: iters left: 5 (28 enodes) 1540202284.921 * * [misc]simplify: iters left: 4 (47 enodes) 1540202284.929 * * [misc]simplify: iters left: 3 (95 enodes) 1540202284.948 * * [misc]simplify: iters left: 2 (182 enodes) 1540202284.986 * * [misc]simplify: iters left: 1 (320 enodes) 1540202285.089 * [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)))))) 1540202285.089 * [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)))))))) 1540202285.089 * * * * [misc]progress: [ 1218 / 6878 ] simplifiying candidate # 1540202285.090 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 1)) 1540202285.090 * * [misc]simplify: iters left: 6 (14 enodes) 1540202285.092 * * [misc]simplify: iters left: 5 (22 enodes) 1540202285.094 * * [misc]simplify: iters left: 4 (30 enodes) 1540202285.099 * * [misc]simplify: iters left: 3 (45 enodes) 1540202285.104 * * [misc]simplify: iters left: 2 (68 enodes) 1540202285.113 * * [misc]simplify: iters left: 1 (86 enodes) 1540202285.125 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202285.125 * [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))))))) 1540202285.125 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202285.125 * * [misc]simplify: iters left: 6 (18 enodes) 1540202285.128 * * [misc]simplify: iters left: 5 (27 enodes) 1540202285.132 * * [misc]simplify: iters left: 4 (46 enodes) 1540202285.139 * * [misc]simplify: iters left: 3 (94 enodes) 1540202285.156 * * [misc]simplify: iters left: 2 (181 enodes) 1540202285.195 * * [misc]simplify: iters left: 1 (322 enodes) 1540202285.297 * [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)))) 1540202285.297 * [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)))))) 1540202285.297 * * * * [misc]progress: [ 1219 / 6878 ] simplifiying candidate # 1540202285.298 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1) 1540202285.298 * * [misc]simplify: iters left: 6 (13 enodes) 1540202285.300 * * [misc]simplify: iters left: 5 (21 enodes) 1540202285.302 * * [misc]simplify: iters left: 4 (31 enodes) 1540202285.307 * * [misc]simplify: iters left: 3 (50 enodes) 1540202285.313 * * [misc]simplify: iters left: 2 (81 enodes) 1540202285.325 * * [misc]simplify: iters left: 1 (100 enodes) 1540202285.337 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202285.337 * [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))))))) 1540202285.337 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202285.337 * * [misc]simplify: iters left: 6 (18 enodes) 1540202285.339 * * [misc]simplify: iters left: 5 (27 enodes) 1540202285.343 * * [misc]simplify: iters left: 4 (46 enodes) 1540202285.350 * * [misc]simplify: iters left: 3 (94 enodes) 1540202285.368 * * [misc]simplify: iters left: 2 (181 enodes) 1540202285.407 * * [misc]simplify: iters left: 1 (322 enodes) 1540202285.509 * [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)))) 1540202285.509 * [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)))))) 1540202285.509 * * * * [misc]progress: [ 1220 / 6878 ] simplifiying candidate # 1540202285.510 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (sqrt k))) 1540202285.510 * * [misc]simplify: iters left: 6 (12 enodes) 1540202285.511 * * [misc]simplify: iters left: 5 (18 enodes) 1540202285.514 * * [misc]simplify: iters left: 4 (28 enodes) 1540202285.517 * * [misc]simplify: iters left: 3 (43 enodes) 1540202285.523 * * [misc]simplify: iters left: 2 (60 enodes) 1540202285.532 * * [misc]simplify: iters left: 1 (77 enodes) 1540202285.542 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202285.542 * [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))))))) 1540202285.543 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202285.543 * * [misc]simplify: iters left: 6 (19 enodes) 1540202285.545 * * [misc]simplify: iters left: 5 (30 enodes) 1540202285.549 * * [misc]simplify: iters left: 4 (47 enodes) 1540202285.557 * * [misc]simplify: iters left: 3 (99 enodes) 1540202285.574 * * [misc]simplify: iters left: 2 (206 enodes) 1540202285.635 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202285.635 * [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)))))) 1540202285.635 * * * * [misc]progress: [ 1221 / 6878 ] simplifiying candidate # 1540202285.636 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202285.636 * * [misc]simplify: iters left: 6 (15 enodes) 1540202285.638 * * [misc]simplify: iters left: 5 (24 enodes) 1540202285.642 * * [misc]simplify: iters left: 4 (42 enodes) 1540202285.649 * * [misc]simplify: iters left: 3 (90 enodes) 1540202285.669 * * [misc]simplify: iters left: 2 (177 enodes) 1540202285.708 * * [misc]simplify: iters left: 1 (319 enodes) 1540202285.806 * [exit]simplify: Simplified to (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540202285.806 * [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))))) 1540202285.808 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202285.808 * * [misc]simplify: iters left: 6 (15 enodes) 1540202285.812 * * [misc]simplify: iters left: 5 (21 enodes) 1540202285.818 * * [misc]simplify: iters left: 4 (31 enodes) 1540202285.827 * * [misc]simplify: iters left: 3 (46 enodes) 1540202285.838 * * [misc]simplify: iters left: 2 (63 enodes) 1540202285.846 * * [misc]simplify: iters left: 1 (80 enodes) 1540202285.859 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202285.859 * [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)))))) 1540202285.859 * * * * [misc]progress: [ 1222 / 6878 ] simplifiying candidate # 1540202285.859 * [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))))))) 1540202285.859 * * [misc]simplify: iters left: 6 (19 enodes) 1540202285.862 * * [misc]simplify: iters left: 5 (29 enodes) 1540202285.866 * * [misc]simplify: iters left: 4 (50 enodes) 1540202285.874 * * [misc]simplify: iters left: 3 (85 enodes) 1540202285.887 * * [misc]simplify: iters left: 2 (132 enodes) 1540202285.910 * * [misc]simplify: iters left: 1 (198 enodes) 1540202285.948 * [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))))))) 1540202285.948 * [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)))))))) 1540202285.949 * [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)))))) 1540202285.949 * * [misc]simplify: iters left: 6 (19 enodes) 1540202285.951 * * [misc]simplify: iters left: 5 (26 enodes) 1540202285.955 * * [misc]simplify: iters left: 4 (37 enodes) 1540202285.960 * * [misc]simplify: iters left: 3 (52 enodes) 1540202285.967 * * [misc]simplify: iters left: 2 (69 enodes) 1540202285.976 * * [misc]simplify: iters left: 1 (86 enodes) 1540202285.989 * [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)))))) 1540202285.989 * [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)))))))) 1540202285.989 * * * * [misc]progress: [ 1223 / 6878 ] simplifiying candidate # 1540202285.989 * [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)))))) 1540202285.989 * * [misc]simplify: iters left: 6 (18 enodes) 1540202285.992 * * [misc]simplify: iters left: 5 (26 enodes) 1540202285.995 * * [misc]simplify: iters left: 4 (39 enodes) 1540202286.000 * * [misc]simplify: iters left: 3 (54 enodes) 1540202286.008 * * [misc]simplify: iters left: 2 (71 enodes) 1540202286.017 * * [misc]simplify: iters left: 1 (88 enodes) 1540202286.029 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202286.029 * [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)))))))) 1540202286.029 * [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)))))) 1540202286.029 * * [misc]simplify: iters left: 6 (19 enodes) 1540202286.032 * * [misc]simplify: iters left: 5 (26 enodes) 1540202286.036 * * [misc]simplify: iters left: 4 (37 enodes) 1540202286.041 * * [misc]simplify: iters left: 3 (52 enodes) 1540202286.049 * * [misc]simplify: iters left: 2 (69 enodes) 1540202286.058 * * [misc]simplify: iters left: 1 (86 enodes) 1540202286.070 * [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)))))) 1540202286.070 * [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)))))))) 1540202286.070 * * * * [misc]progress: [ 1224 / 6878 ] simplifiying candidate # 1540202286.070 * [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))) 1540202286.070 * * [misc]simplify: iters left: 6 (17 enodes) 1540202286.074 * * [misc]simplify: iters left: 5 (28 enodes) 1540202286.078 * * [misc]simplify: iters left: 4 (56 enodes) 1540202286.089 * * [misc]simplify: iters left: 3 (158 enodes) 1540202286.136 * * [misc]simplify: iters left: 2 (409 enodes) 1540202286.317 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202286.318 * [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))))))) 1540202286.318 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202286.318 * * [misc]simplify: iters left: 6 (17 enodes) 1540202286.320 * * [misc]simplify: iters left: 5 (25 enodes) 1540202286.324 * * [misc]simplify: iters left: 4 (43 enodes) 1540202286.330 * * [misc]simplify: iters left: 3 (91 enodes) 1540202286.349 * * [misc]simplify: iters left: 2 (178 enodes) 1540202286.388 * * [misc]simplify: iters left: 1 (319 enodes) 1540202286.490 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540202286.490 * [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))))))) 1540202286.490 * * * * [misc]progress: [ 1225 / 6878 ] simplifiying candidate # 1540202286.490 * [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))) 1540202286.490 * * [misc]simplify: iters left: 6 (17 enodes) 1540202286.493 * * [misc]simplify: iters left: 5 (28 enodes) 1540202286.498 * * [misc]simplify: iters left: 4 (56 enodes) 1540202286.508 * * [misc]simplify: iters left: 3 (158 enodes) 1540202286.554 * * [misc]simplify: iters left: 2 (409 enodes) 1540202286.734 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202286.734 * [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))))))) 1540202286.734 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202286.734 * * [misc]simplify: iters left: 6 (17 enodes) 1540202286.737 * * [misc]simplify: iters left: 5 (25 enodes) 1540202286.741 * * [misc]simplify: iters left: 4 (43 enodes) 1540202286.747 * * [misc]simplify: iters left: 3 (91 enodes) 1540202286.764 * * [misc]simplify: iters left: 2 (178 enodes) 1540202286.803 * * [misc]simplify: iters left: 1 (319 enodes) 1540202286.903 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540202286.903 * [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))))))) 1540202286.903 * * * * [misc]progress: [ 1226 / 6878 ] simplifiying candidate # 1540202286.903 * [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))))))) 1540202286.903 * * [misc]simplify: iters left: 6 (21 enodes) 1540202286.906 * * [misc]simplify: iters left: 5 (37 enodes) 1540202286.913 * * [misc]simplify: iters left: 4 (88 enodes) 1540202286.931 * * [misc]simplify: iters left: 3 (262 enodes) 1540202287.037 * [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)))))) 1540202287.037 * [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)))))))) 1540202287.038 * [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)))))) 1540202287.038 * * [misc]simplify: iters left: 6 (20 enodes) 1540202287.041 * * [misc]simplify: iters left: 5 (29 enodes) 1540202287.045 * * [misc]simplify: iters left: 4 (48 enodes) 1540202287.052 * * [misc]simplify: iters left: 3 (96 enodes) 1540202287.071 * * [misc]simplify: iters left: 2 (183 enodes) 1540202287.111 * * [misc]simplify: iters left: 1 (325 enodes) 1540202287.217 * [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))))) 1540202287.217 * [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))))))) 1540202287.218 * * * * [misc]progress: [ 1227 / 6878 ] simplifiying candidate # 1540202287.218 * [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)))))) 1540202287.218 * * [misc]simplify: iters left: 6 (20 enodes) 1540202287.221 * * [misc]simplify: iters left: 5 (32 enodes) 1540202287.225 * * [misc]simplify: iters left: 4 (63 enodes) 1540202287.237 * * [misc]simplify: iters left: 3 (165 enodes) 1540202287.283 * * [misc]simplify: iters left: 2 (420 enodes) 1540202287.470 * [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)))))) 1540202287.470 * [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)))))))) 1540202287.470 * [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)))))) 1540202287.470 * * [misc]simplify: iters left: 6 (20 enodes) 1540202287.473 * * [misc]simplify: iters left: 5 (29 enodes) 1540202287.477 * * [misc]simplify: iters left: 4 (48 enodes) 1540202287.484 * * [misc]simplify: iters left: 3 (96 enodes) 1540202287.504 * * [misc]simplify: iters left: 2 (183 enodes) 1540202287.543 * * [misc]simplify: iters left: 1 (325 enodes) 1540202287.649 * [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))))) 1540202287.649 * [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))))))) 1540202287.649 * * * * [misc]progress: [ 1228 / 6878 ] simplifiying candidate # 1540202287.649 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202287.649 * * [misc]simplify: iters left: 6 (16 enodes) 1540202287.652 * * [misc]simplify: iters left: 5 (28 enodes) 1540202287.656 * * [misc]simplify: iters left: 4 (56 enodes) 1540202287.665 * * [misc]simplify: iters left: 3 (111 enodes) 1540202287.691 * * [misc]simplify: iters left: 2 (306 enodes) 1540202287.843 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202287.843 * [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))))))) 1540202287.843 * [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))))) 1540202287.844 * * [misc]simplify: iters left: 6 (19 enodes) 1540202287.846 * * [misc]simplify: iters left: 5 (28 enodes) 1540202287.854 * * [misc]simplify: iters left: 4 (47 enodes) 1540202287.864 * * [misc]simplify: iters left: 3 (95 enodes) 1540202287.882 * * [misc]simplify: iters left: 2 (182 enodes) 1540202287.922 * * [misc]simplify: iters left: 1 (322 enodes) 1540202288.023 * [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)))))) 1540202288.024 * [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)))))))) 1540202288.024 * * * * [misc]progress: [ 1229 / 6878 ] simplifiying candidate # 1540202288.024 * [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))) 1540202288.024 * * [misc]simplify: iters left: 6 (18 enodes) 1540202288.028 * * [misc]simplify: iters left: 5 (28 enodes) 1540202288.033 * * [misc]simplify: iters left: 4 (46 enodes) 1540202288.040 * * [misc]simplify: iters left: 3 (94 enodes) 1540202288.058 * * [misc]simplify: iters left: 2 (181 enodes) 1540202288.099 * * [misc]simplify: iters left: 1 (322 enodes) 1540202288.204 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202288.204 * [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))))))) 1540202288.204 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202288.204 * * [misc]simplify: iters left: 6 (18 enodes) 1540202288.207 * * [misc]simplify: iters left: 5 (26 enodes) 1540202288.210 * * [misc]simplify: iters left: 4 (44 enodes) 1540202288.217 * * [misc]simplify: iters left: 3 (92 enodes) 1540202288.235 * * [misc]simplify: iters left: 2 (179 enodes) 1540202288.274 * * [misc]simplify: iters left: 1 (315 enodes) 1540202288.375 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202288.375 * [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))))) 1540202288.375 * * * * [misc]progress: [ 1230 / 6878 ] simplifiying candidate # 1540202288.376 * [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))) 1540202288.376 * * [misc]simplify: iters left: 6 (18 enodes) 1540202288.381 * * [misc]simplify: iters left: 5 (28 enodes) 1540202288.385 * * [misc]simplify: iters left: 4 (46 enodes) 1540202288.393 * * [misc]simplify: iters left: 3 (94 enodes) 1540202288.411 * * [misc]simplify: iters left: 2 (181 enodes) 1540202288.453 * * [misc]simplify: iters left: 1 (322 enodes) 1540202288.556 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540202288.556 * [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))))))) 1540202288.556 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202288.556 * * [misc]simplify: iters left: 6 (18 enodes) 1540202288.560 * * [misc]simplify: iters left: 5 (26 enodes) 1540202288.564 * * [misc]simplify: iters left: 4 (44 enodes) 1540202288.571 * * [misc]simplify: iters left: 3 (92 enodes) 1540202288.588 * * [misc]simplify: iters left: 2 (179 enodes) 1540202288.627 * * [misc]simplify: iters left: 1 (315 enodes) 1540202288.727 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202288.728 * [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))))) 1540202288.728 * * * * [misc]progress: [ 1231 / 6878 ] simplifiying candidate # 1540202288.728 * [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))))))) 1540202288.728 * * [misc]simplify: iters left: 6 (22 enodes) 1540202288.731 * * [misc]simplify: iters left: 5 (35 enodes) 1540202288.737 * * [misc]simplify: iters left: 4 (62 enodes) 1540202288.748 * * [misc]simplify: iters left: 3 (141 enodes) 1540202288.780 * * [misc]simplify: iters left: 2 (337 enodes) 1540202288.917 * [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)))))) 1540202288.917 * [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)))))))) 1540202288.917 * [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)))))) 1540202288.917 * * [misc]simplify: iters left: 6 (21 enodes) 1540202288.920 * * [misc]simplify: iters left: 5 (30 enodes) 1540202288.925 * * [misc]simplify: iters left: 4 (49 enodes) 1540202288.932 * * [misc]simplify: iters left: 3 (97 enodes) 1540202288.949 * * [misc]simplify: iters left: 2 (184 enodes) 1540202288.989 * * [misc]simplify: iters left: 1 (320 enodes) 1540202289.091 * [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)))))) 1540202289.091 * [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)))))))) 1540202289.091 * * * * [misc]progress: [ 1232 / 6878 ] simplifiying candidate # 1540202289.092 * [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)))))) 1540202289.092 * * [misc]simplify: iters left: 6 (21 enodes) 1540202289.095 * * [misc]simplify: iters left: 5 (32 enodes) 1540202289.099 * * [misc]simplify: iters left: 4 (53 enodes) 1540202289.107 * * [misc]simplify: iters left: 3 (101 enodes) 1540202289.125 * * [misc]simplify: iters left: 2 (188 enodes) 1540202289.166 * * [misc]simplify: iters left: 1 (325 enodes) 1540202289.268 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1540202289.268 * [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)))))))) 1540202289.269 * [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)))))) 1540202289.269 * * [misc]simplify: iters left: 6 (21 enodes) 1540202289.272 * * [misc]simplify: iters left: 5 (30 enodes) 1540202289.276 * * [misc]simplify: iters left: 4 (49 enodes) 1540202289.283 * * [misc]simplify: iters left: 3 (97 enodes) 1540202289.301 * * [misc]simplify: iters left: 2 (184 enodes) 1540202289.341 * * [misc]simplify: iters left: 1 (320 enodes) 1540202289.440 * [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)))))) 1540202289.440 * [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)))))))) 1540202289.440 * * * * [misc]progress: [ 1233 / 6878 ] simplifiying candidate # 1540202289.441 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202289.441 * * [misc]simplify: iters left: 6 (17 enodes) 1540202289.443 * * [misc]simplify: iters left: 5 (27 enodes) 1540202289.447 * * [misc]simplify: iters left: 4 (42 enodes) 1540202289.454 * * [misc]simplify: iters left: 3 (76 enodes) 1540202289.469 * * [misc]simplify: iters left: 2 (155 enodes) 1540202289.511 * * [misc]simplify: iters left: 1 (338 enodes) 1540202289.650 * [exit]simplify: Simplified to (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202289.650 * [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))))))) 1540202289.650 * [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))))) 1540202289.650 * * [misc]simplify: iters left: 6 (20 enodes) 1540202289.653 * * [misc]simplify: iters left: 5 (29 enodes) 1540202289.657 * * [misc]simplify: iters left: 4 (48 enodes) 1540202289.664 * * [misc]simplify: iters left: 3 (96 enodes) 1540202289.684 * * [misc]simplify: iters left: 2 (183 enodes) 1540202289.724 * * [misc]simplify: iters left: 1 (325 enodes) 1540202289.827 * [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))))) 1540202289.827 * [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))))))) 1540202289.827 * * * * [misc]progress: [ 1234 / 6878 ] simplifiying candidate # 1540202289.827 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202289.827 * * [misc]simplify: iters left: 6 (15 enodes) 1540202289.830 * * [misc]simplify: iters left: 5 (24 enodes) 1540202289.834 * * [misc]simplify: iters left: 4 (41 enodes) 1540202289.841 * * [misc]simplify: iters left: 3 (86 enodes) 1540202289.859 * * [misc]simplify: iters left: 2 (151 enodes) 1540202289.889 * * [misc]simplify: iters left: 1 (230 enodes) 1540202289.942 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202289.942 * [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))))))) 1540202289.942 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202289.942 * * [misc]simplify: iters left: 6 (16 enodes) 1540202289.944 * * [misc]simplify: iters left: 5 (24 enodes) 1540202289.948 * * [misc]simplify: iters left: 4 (41 enodes) 1540202289.954 * * [misc]simplify: iters left: 3 (86 enodes) 1540202289.971 * * [misc]simplify: iters left: 2 (151 enodes) 1540202290.001 * * [misc]simplify: iters left: 1 (234 enodes) 1540202290.057 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202290.057 * [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)))))) 1540202290.057 * * * * [misc]progress: [ 1235 / 6878 ] simplifiying candidate # 1540202290.058 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202290.058 * * [misc]simplify: iters left: 6 (15 enodes) 1540202290.061 * * [misc]simplify: iters left: 5 (24 enodes) 1540202290.064 * * [misc]simplify: iters left: 4 (41 enodes) 1540202290.071 * * [misc]simplify: iters left: 3 (86 enodes) 1540202290.088 * * [misc]simplify: iters left: 2 (151 enodes) 1540202290.120 * * [misc]simplify: iters left: 1 (230 enodes) 1540202290.173 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202290.173 * [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))))))) 1540202290.174 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202290.174 * * [misc]simplify: iters left: 6 (16 enodes) 1540202290.176 * * [misc]simplify: iters left: 5 (24 enodes) 1540202290.179 * * [misc]simplify: iters left: 4 (41 enodes) 1540202290.186 * * [misc]simplify: iters left: 3 (86 enodes) 1540202290.202 * * [misc]simplify: iters left: 2 (151 enodes) 1540202290.235 * * [misc]simplify: iters left: 1 (234 enodes) 1540202290.291 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202290.291 * [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)))))) 1540202290.292 * * * * [misc]progress: [ 1236 / 6878 ] simplifiying candidate # 1540202290.292 * [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))))))) 1540202290.292 * * [misc]simplify: iters left: 6 (19 enodes) 1540202290.295 * * [misc]simplify: iters left: 5 (31 enodes) 1540202290.299 * * [misc]simplify: iters left: 4 (57 enodes) 1540202290.309 * * [misc]simplify: iters left: 3 (133 enodes) 1540202290.340 * * [misc]simplify: iters left: 2 (298 enodes) 1540202290.451 * [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)))))) 1540202290.451 * [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)))))))) 1540202290.451 * [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)))))) 1540202290.452 * * [misc]simplify: iters left: 6 (19 enodes) 1540202290.456 * * [misc]simplify: iters left: 5 (28 enodes) 1540202290.460 * * [misc]simplify: iters left: 4 (46 enodes) 1540202290.467 * * [misc]simplify: iters left: 3 (91 enodes) 1540202290.483 * * [misc]simplify: iters left: 2 (156 enodes) 1540202290.515 * * [misc]simplify: iters left: 1 (236 enodes) 1540202290.568 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202290.568 * [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)))))))) 1540202290.568 * * * * [misc]progress: [ 1237 / 6878 ] simplifiying candidate # 1540202290.568 * [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)))))) 1540202290.568 * * [misc]simplify: iters left: 6 (18 enodes) 1540202290.571 * * [misc]simplify: iters left: 5 (28 enodes) 1540202290.575 * * [misc]simplify: iters left: 4 (48 enodes) 1540202290.583 * * [misc]simplify: iters left: 3 (93 enodes) 1540202290.599 * * [misc]simplify: iters left: 2 (158 enodes) 1540202290.630 * * [misc]simplify: iters left: 1 (243 enodes) 1540202290.686 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202290.686 * [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)))))))) 1540202290.686 * [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)))))) 1540202290.686 * * [misc]simplify: iters left: 6 (19 enodes) 1540202290.689 * * [misc]simplify: iters left: 5 (28 enodes) 1540202290.693 * * [misc]simplify: iters left: 4 (46 enodes) 1540202291.009 * * [misc]simplify: iters left: 3 (91 enodes) 1540202291.025 * * [misc]simplify: iters left: 2 (156 enodes) 1540202291.056 * * [misc]simplify: iters left: 1 (236 enodes) 1540202291.109 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202291.109 * [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)))))))) 1540202291.110 * * * * [misc]progress: [ 1238 / 6878 ] simplifiying candidate # 1540202291.110 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202291.110 * * [misc]simplify: iters left: 6 (14 enodes) 1540202291.112 * * [misc]simplify: iters left: 5 (24 enodes) 1540202291.116 * * [misc]simplify: iters left: 4 (45 enodes) 1540202291.123 * * [misc]simplify: iters left: 3 (68 enodes) 1540202291.135 * * [misc]simplify: iters left: 2 (101 enodes) 1540202291.154 * * [misc]simplify: iters left: 1 (157 enodes) 1540202291.190 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202291.190 * [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))))))) 1540202291.190 * [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))))) 1540202291.191 * * [misc]simplify: iters left: 6 (18 enodes) 1540202291.193 * * [misc]simplify: iters left: 5 (27 enodes) 1540202291.198 * * [misc]simplify: iters left: 4 (45 enodes) 1540202291.205 * * [misc]simplify: iters left: 3 (90 enodes) 1540202291.221 * * [misc]simplify: iters left: 2 (155 enodes) 1540202291.253 * * [misc]simplify: iters left: 1 (239 enodes) 1540202291.309 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202291.309 * [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))))))) 1540202291.309 * * * * [misc]progress: [ 1239 / 6878 ] simplifiying candidate # 1540202291.309 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202291.309 * * [misc]simplify: iters left: 6 (17 enodes) 1540202291.313 * * [misc]simplify: iters left: 5 (28 enodes) 1540202291.317 * * [misc]simplify: iters left: 4 (48 enodes) 1540202291.327 * * [misc]simplify: iters left: 3 (115 enodes) 1540202291.352 * * [misc]simplify: iters left: 2 (271 enodes) 1540202291.450 * * [misc]simplify: iters left: 1 (496 enodes) 1540202291.685 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540202291.685 * [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))))))) 1540202291.685 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202291.685 * * [misc]simplify: iters left: 6 (16 enodes) 1540202291.688 * * [misc]simplify: iters left: 5 (24 enodes) 1540202291.691 * * [misc]simplify: iters left: 4 (42 enodes) 1540202291.697 * * [misc]simplify: iters left: 3 (90 enodes) 1540202291.714 * * [misc]simplify: iters left: 2 (177 enodes) 1540202291.754 * * [misc]simplify: iters left: 1 (315 enodes) 1540202291.854 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202291.854 * [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)))))) 1540202291.854 * * * * [misc]progress: [ 1240 / 6878 ] simplifiying candidate # 1540202291.854 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202291.855 * * [misc]simplify: iters left: 6 (17 enodes) 1540202291.858 * * [misc]simplify: iters left: 5 (28 enodes) 1540202291.862 * * [misc]simplify: iters left: 4 (48 enodes) 1540202291.871 * * [misc]simplify: iters left: 3 (115 enodes) 1540202291.896 * * [misc]simplify: iters left: 2 (271 enodes) 1540202291.992 * * [misc]simplify: iters left: 1 (496 enodes) 1540202292.228 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540202292.228 * [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))))))) 1540202292.228 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202292.228 * * [misc]simplify: iters left: 6 (16 enodes) 1540202292.230 * * [misc]simplify: iters left: 5 (24 enodes) 1540202292.234 * * [misc]simplify: iters left: 4 (42 enodes) 1540202292.243 * * [misc]simplify: iters left: 3 (90 enodes) 1540202292.261 * * [misc]simplify: iters left: 2 (177 enodes) 1540202292.300 * * [misc]simplify: iters left: 1 (315 enodes) 1540202292.399 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202292.399 * [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)))))) 1540202292.400 * * * * [misc]progress: [ 1241 / 6878 ] simplifiying candidate # 1540202292.400 * [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))))))) 1540202292.400 * * [misc]simplify: iters left: 6 (21 enodes) 1540202292.403 * * [misc]simplify: iters left: 5 (35 enodes) 1540202292.408 * * [misc]simplify: iters left: 4 (65 enodes) 1540202292.422 * * [misc]simplify: iters left: 3 (171 enodes) 1540202292.462 * * [misc]simplify: iters left: 2 (455 enodes) 1540202292.713 * [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)))) 1540202292.713 * [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)))))))) 1540202292.713 * [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)))))) 1540202292.713 * * [misc]simplify: iters left: 6 (19 enodes) 1540202292.716 * * [misc]simplify: iters left: 5 (28 enodes) 1540202292.720 * * [misc]simplify: iters left: 4 (47 enodes) 1540202292.727 * * [misc]simplify: iters left: 3 (95 enodes) 1540202292.744 * * [misc]simplify: iters left: 2 (182 enodes) 1540202292.783 * * [misc]simplify: iters left: 1 (320 enodes) 1540202292.887 * [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)))))) 1540202292.887 * [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)))))))) 1540202292.887 * * * * [misc]progress: [ 1242 / 6878 ] simplifiying candidate # 1540202292.887 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202292.887 * * [misc]simplify: iters left: 6 (20 enodes) 1540202292.891 * * [misc]simplify: iters left: 5 (32 enodes) 1540202292.895 * * [misc]simplify: iters left: 4 (55 enodes) 1540202292.904 * * [misc]simplify: iters left: 3 (122 enodes) 1540202292.930 * * [misc]simplify: iters left: 2 (285 enodes) 1540202293.026 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202293.026 * [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)))))))) 1540202293.026 * [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)))))) 1540202293.027 * * [misc]simplify: iters left: 6 (19 enodes) 1540202293.029 * * [misc]simplify: iters left: 5 (28 enodes) 1540202293.033 * * [misc]simplify: iters left: 4 (47 enodes) 1540202293.040 * * [misc]simplify: iters left: 3 (95 enodes) 1540202293.058 * * [misc]simplify: iters left: 2 (182 enodes) 1540202293.097 * * [misc]simplify: iters left: 1 (320 enodes) 1540202293.200 * [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)))))) 1540202293.200 * [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)))))))) 1540202293.200 * * * * [misc]progress: [ 1243 / 6878 ] simplifiying candidate # 1540202293.200 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202293.200 * * [misc]simplify: iters left: 6 (15 enodes) 1540202293.203 * * [misc]simplify: iters left: 5 (25 enodes) 1540202293.206 * * [misc]simplify: iters left: 4 (33 enodes) 1540202293.211 * * [misc]simplify: iters left: 3 (55 enodes) 1540202293.218 * * [misc]simplify: iters left: 2 (89 enodes) 1540202293.241 * * [misc]simplify: iters left: 1 (147 enodes) 1540202293.285 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202293.285 * [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))))))) 1540202293.285 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202293.285 * * [misc]simplify: iters left: 6 (18 enodes) 1540202293.288 * * [misc]simplify: iters left: 5 (27 enodes) 1540202293.292 * * [misc]simplify: iters left: 4 (46 enodes) 1540202293.300 * * [misc]simplify: iters left: 3 (94 enodes) 1540202293.317 * * [misc]simplify: iters left: 2 (181 enodes) 1540202293.358 * * [misc]simplify: iters left: 1 (322 enodes) 1540202293.460 * [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)))) 1540202293.460 * [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)))))) 1540202293.461 * * * * [misc]progress: [ 1244 / 6878 ] simplifiying candidate # 1540202293.461 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202293.461 * * [misc]simplify: iters left: 6 (15 enodes) 1540202293.464 * * [misc]simplify: iters left: 5 (24 enodes) 1540202293.468 * * [misc]simplify: iters left: 4 (41 enodes) 1540202293.476 * * [misc]simplify: iters left: 3 (86 enodes) 1540202293.492 * * [misc]simplify: iters left: 2 (151 enodes) 1540202293.523 * * [misc]simplify: iters left: 1 (230 enodes) 1540202293.576 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202293.576 * [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))))))) 1540202293.576 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202293.576 * * [misc]simplify: iters left: 6 (16 enodes) 1540202293.578 * * [misc]simplify: iters left: 5 (24 enodes) 1540202293.582 * * [misc]simplify: iters left: 4 (41 enodes) 1540202293.588 * * [misc]simplify: iters left: 3 (86 enodes) 1540202293.605 * * [misc]simplify: iters left: 2 (151 enodes) 1540202293.637 * * [misc]simplify: iters left: 1 (234 enodes) 1540202293.693 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202293.693 * [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)))))) 1540202293.693 * * * * [misc]progress: [ 1245 / 6878 ] simplifiying candidate # 1540202293.693 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202293.693 * * [misc]simplify: iters left: 6 (15 enodes) 1540202293.696 * * [misc]simplify: iters left: 5 (24 enodes) 1540202293.700 * * [misc]simplify: iters left: 4 (41 enodes) 1540202293.707 * * [misc]simplify: iters left: 3 (86 enodes) 1540202293.725 * * [misc]simplify: iters left: 2 (151 enodes) 1540202293.756 * * [misc]simplify: iters left: 1 (230 enodes) 1540202293.809 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202293.809 * [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))))))) 1540202293.809 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202293.809 * * [misc]simplify: iters left: 6 (16 enodes) 1540202293.811 * * [misc]simplify: iters left: 5 (24 enodes) 1540202293.815 * * [misc]simplify: iters left: 4 (41 enodes) 1540202293.821 * * [misc]simplify: iters left: 3 (86 enodes) 1540202293.837 * * [misc]simplify: iters left: 2 (151 enodes) 1540202293.869 * * [misc]simplify: iters left: 1 (234 enodes) 1540202293.926 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202293.926 * [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)))))) 1540202293.926 * * * * [misc]progress: [ 1246 / 6878 ] simplifiying candidate # 1540202293.926 * [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))))))) 1540202293.926 * * [misc]simplify: iters left: 6 (19 enodes) 1540202293.929 * * [misc]simplify: iters left: 5 (31 enodes) 1540202293.934 * * [misc]simplify: iters left: 4 (57 enodes) 1540202293.943 * * [misc]simplify: iters left: 3 (133 enodes) 1540202293.976 * * [misc]simplify: iters left: 2 (298 enodes) 1540202294.086 * [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)))))) 1540202294.086 * [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)))))))) 1540202294.087 * [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)))))) 1540202294.087 * * [misc]simplify: iters left: 6 (19 enodes) 1540202294.089 * * [misc]simplify: iters left: 5 (28 enodes) 1540202294.093 * * [misc]simplify: iters left: 4 (46 enodes) 1540202294.101 * * [misc]simplify: iters left: 3 (91 enodes) 1540202294.117 * * [misc]simplify: iters left: 2 (156 enodes) 1540202294.156 * * [misc]simplify: iters left: 1 (236 enodes) 1540202294.208 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202294.209 * [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)))))))) 1540202294.209 * * * * [misc]progress: [ 1247 / 6878 ] simplifiying candidate # 1540202294.209 * [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)))))) 1540202294.209 * * [misc]simplify: iters left: 6 (18 enodes) 1540202294.212 * * [misc]simplify: iters left: 5 (28 enodes) 1540202294.216 * * [misc]simplify: iters left: 4 (48 enodes) 1540202294.223 * * [misc]simplify: iters left: 3 (93 enodes) 1540202294.239 * * [misc]simplify: iters left: 2 (158 enodes) 1540202294.272 * * [misc]simplify: iters left: 1 (243 enodes) 1540202294.326 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540202294.326 * [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)))))))) 1540202294.326 * [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)))))) 1540202294.326 * * [misc]simplify: iters left: 6 (19 enodes) 1540202294.329 * * [misc]simplify: iters left: 5 (28 enodes) 1540202294.333 * * [misc]simplify: iters left: 4 (46 enodes) 1540202294.340 * * [misc]simplify: iters left: 3 (91 enodes) 1540202294.356 * * [misc]simplify: iters left: 2 (156 enodes) 1540202294.387 * * [misc]simplify: iters left: 1 (236 enodes) 1540202294.441 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202294.441 * [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)))))))) 1540202294.441 * * * * [misc]progress: [ 1248 / 6878 ] simplifiying candidate # 1540202294.441 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202294.441 * * [misc]simplify: iters left: 6 (14 enodes) 1540202294.443 * * [misc]simplify: iters left: 5 (24 enodes) 1540202294.447 * * [misc]simplify: iters left: 4 (45 enodes) 1540202294.456 * * [misc]simplify: iters left: 3 (68 enodes) 1540202294.466 * * [misc]simplify: iters left: 2 (101 enodes) 1540202294.485 * * [misc]simplify: iters left: 1 (157 enodes) 1540202294.523 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202294.523 * [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))))))) 1540202294.523 * [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))))) 1540202294.523 * * [misc]simplify: iters left: 6 (18 enodes) 1540202294.526 * * [misc]simplify: iters left: 5 (27 enodes) 1540202294.530 * * [misc]simplify: iters left: 4 (45 enodes) 1540202294.537 * * [misc]simplify: iters left: 3 (90 enodes) 1540202294.553 * * [misc]simplify: iters left: 2 (155 enodes) 1540202294.587 * * [misc]simplify: iters left: 1 (239 enodes) 1540202294.642 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202294.642 * [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))))))) 1540202294.642 * * * * [misc]progress: [ 1249 / 6878 ] simplifiying candidate # 1540202294.642 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202294.643 * * [misc]simplify: iters left: 6 (16 enodes) 1540202294.647 * * [misc]simplify: iters left: 5 (27 enodes) 1540202294.651 * * [misc]simplify: iters left: 4 (43 enodes) 1540202294.658 * * [misc]simplify: iters left: 3 (95 enodes) 1540202294.676 * * [misc]simplify: iters left: 2 (200 enodes) 1540202294.742 * * [misc]simplify: iters left: 1 (409 enodes) 1540202294.936 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202294.936 * [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))))))) 1540202294.936 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202294.936 * * [misc]simplify: iters left: 6 (16 enodes) 1540202294.939 * * [misc]simplify: iters left: 5 (24 enodes) 1540202294.942 * * [misc]simplify: iters left: 4 (42 enodes) 1540202294.949 * * [misc]simplify: iters left: 3 (90 enodes) 1540202294.966 * * [misc]simplify: iters left: 2 (177 enodes) 1540202295.006 * * [misc]simplify: iters left: 1 (315 enodes) 1540202295.106 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202295.106 * [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)))))) 1540202295.106 * * * * [misc]progress: [ 1250 / 6878 ] simplifiying candidate # 1540202295.106 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202295.106 * * [misc]simplify: iters left: 6 (16 enodes) 1540202295.109 * * [misc]simplify: iters left: 5 (27 enodes) 1540202295.115 * * [misc]simplify: iters left: 4 (43 enodes) 1540202295.123 * * [misc]simplify: iters left: 3 (95 enodes) 1540202295.140 * * [misc]simplify: iters left: 2 (200 enodes) 1540202295.205 * * [misc]simplify: iters left: 1 (409 enodes) 1540202295.397 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202295.397 * [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))))))) 1540202295.397 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202295.397 * * [misc]simplify: iters left: 6 (16 enodes) 1540202295.401 * * [misc]simplify: iters left: 5 (24 enodes) 1540202295.405 * * [misc]simplify: iters left: 4 (42 enodes) 1540202295.411 * * [misc]simplify: iters left: 3 (90 enodes) 1540202295.428 * * [misc]simplify: iters left: 2 (177 enodes) 1540202295.468 * * [misc]simplify: iters left: 1 (315 enodes) 1540202295.568 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202295.568 * [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)))))) 1540202295.568 * * * * [misc]progress: [ 1251 / 6878 ] simplifiying candidate # 1540202295.569 * [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))))))) 1540202295.569 * * [misc]simplify: iters left: 6 (20 enodes) 1540202295.572 * * [misc]simplify: iters left: 5 (34 enodes) 1540202295.578 * * [misc]simplify: iters left: 4 (59 enodes) 1540202295.589 * * [misc]simplify: iters left: 3 (153 enodes) 1540202295.624 * * [misc]simplify: iters left: 2 (394 enodes) 1540202295.819 * [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))))) 1540202295.819 * [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)))))))) 1540202295.819 * [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)))))) 1540202295.819 * * [misc]simplify: iters left: 6 (19 enodes) 1540202295.822 * * [misc]simplify: iters left: 5 (28 enodes) 1540202295.826 * * [misc]simplify: iters left: 4 (47 enodes) 1540202295.833 * * [misc]simplify: iters left: 3 (95 enodes) 1540202295.851 * * [misc]simplify: iters left: 2 (182 enodes) 1540202295.892 * * [misc]simplify: iters left: 1 (320 enodes) 1540202295.996 * [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)))))) 1540202295.996 * [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)))))))) 1540202295.996 * * * * [misc]progress: [ 1252 / 6878 ] simplifiying candidate # 1540202295.996 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202295.996 * * [misc]simplify: iters left: 6 (19 enodes) 1540202295.999 * * [misc]simplify: iters left: 5 (31 enodes) 1540202296.003 * * [misc]simplify: iters left: 4 (50 enodes) 1540202296.011 * * [misc]simplify: iters left: 3 (102 enodes) 1540202296.029 * * [misc]simplify: iters left: 2 (206 enodes) 1540202296.086 * * [misc]simplify: iters left: 1 (437 enodes) 1540202296.352 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202296.352 * [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)))))))) 1540202296.352 * [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)))))) 1540202296.352 * * [misc]simplify: iters left: 6 (19 enodes) 1540202296.355 * * [misc]simplify: iters left: 5 (28 enodes) 1540202296.359 * * [misc]simplify: iters left: 4 (47 enodes) 1540202296.367 * * [misc]simplify: iters left: 3 (95 enodes) 1540202296.386 * * [misc]simplify: iters left: 2 (182 enodes) 1540202296.424 * * [misc]simplify: iters left: 1 (320 enodes) 1540202296.529 * [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)))))) 1540202296.529 * [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)))))))) 1540202296.529 * * * * [misc]progress: [ 1253 / 6878 ] simplifiying candidate # 1540202296.529 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 1)) 1540202296.529 * * [misc]simplify: iters left: 6 (14 enodes) 1540202296.531 * * [misc]simplify: iters left: 5 (22 enodes) 1540202296.534 * * [misc]simplify: iters left: 4 (30 enodes) 1540202296.538 * * [misc]simplify: iters left: 3 (45 enodes) 1540202296.544 * * [misc]simplify: iters left: 2 (68 enodes) 1540202296.553 * * [misc]simplify: iters left: 1 (86 enodes) 1540202296.565 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202296.565 * [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))))))) 1540202296.565 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202296.565 * * [misc]simplify: iters left: 6 (18 enodes) 1540202296.568 * * [misc]simplify: iters left: 5 (27 enodes) 1540202296.571 * * [misc]simplify: iters left: 4 (46 enodes) 1540202296.579 * * [misc]simplify: iters left: 3 (94 enodes) 1540202296.596 * * [misc]simplify: iters left: 2 (181 enodes) 1540202296.635 * * [misc]simplify: iters left: 1 (322 enodes) 1540202296.738 * [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)))) 1540202296.738 * [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)))))) 1540202296.738 * * * * [misc]progress: [ 1254 / 6878 ] simplifiying candidate # 1540202296.738 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1) 1540202296.738 * * [misc]simplify: iters left: 6 (13 enodes) 1540202296.740 * * [misc]simplify: iters left: 5 (21 enodes) 1540202296.743 * * [misc]simplify: iters left: 4 (31 enodes) 1540202296.747 * * [misc]simplify: iters left: 3 (50 enodes) 1540202296.754 * * [misc]simplify: iters left: 2 (81 enodes) 1540202296.766 * * [misc]simplify: iters left: 1 (100 enodes) 1540202296.777 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202296.777 * [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))))))) 1540202296.777 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202296.777 * * [misc]simplify: iters left: 6 (18 enodes) 1540202296.780 * * [misc]simplify: iters left: 5 (27 enodes) 1540202296.784 * * [misc]simplify: iters left: 4 (46 enodes) 1540202296.790 * * [misc]simplify: iters left: 3 (94 enodes) 1540202296.809 * * [misc]simplify: iters left: 2 (181 enodes) 1540202296.847 * * [misc]simplify: iters left: 1 (322 enodes) 1540202296.950 * [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)))) 1540202296.950 * [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)))))) 1540202296.950 * * * * [misc]progress: [ 1255 / 6878 ] simplifiying candidate # 1540202296.950 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (sqrt k))) 1540202296.950 * * [misc]simplify: iters left: 6 (12 enodes) 1540202296.952 * * [misc]simplify: iters left: 5 (18 enodes) 1540202296.954 * * [misc]simplify: iters left: 4 (28 enodes) 1540202296.958 * * [misc]simplify: iters left: 3 (43 enodes) 1540202296.964 * * [misc]simplify: iters left: 2 (60 enodes) 1540202296.973 * * [misc]simplify: iters left: 1 (77 enodes) 1540202296.983 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202296.983 * [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))))))) 1540202296.984 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202296.984 * * [misc]simplify: iters left: 6 (19 enodes) 1540202296.986 * * [misc]simplify: iters left: 5 (30 enodes) 1540202296.990 * * [misc]simplify: iters left: 4 (47 enodes) 1540202296.998 * * [misc]simplify: iters left: 3 (99 enodes) 1540202297.015 * * [misc]simplify: iters left: 2 (206 enodes) 1540202297.076 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202297.076 * [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)))))) 1540202297.076 * * * * [misc]progress: [ 1256 / 6878 ] simplifiying candidate # 1540202297.077 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202297.077 * * [misc]simplify: iters left: 6 (15 enodes) 1540202297.080 * * [misc]simplify: iters left: 5 (24 enodes) 1540202297.083 * * [misc]simplify: iters left: 4 (42 enodes) 1540202297.090 * * [misc]simplify: iters left: 3 (90 enodes) 1540202297.110 * * [misc]simplify: iters left: 2 (177 enodes) 1540202297.148 * * [misc]simplify: iters left: 1 (319 enodes) 1540202297.246 * [exit]simplify: Simplified to (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540202297.246 * [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))))) 1540202297.247 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202297.247 * * [misc]simplify: iters left: 6 (15 enodes) 1540202297.249 * * [misc]simplify: iters left: 5 (21 enodes) 1540202297.252 * * [misc]simplify: iters left: 4 (31 enodes) 1540202297.256 * * [misc]simplify: iters left: 3 (46 enodes) 1540202297.262 * * [misc]simplify: iters left: 2 (63 enodes) 1540202297.270 * * [misc]simplify: iters left: 1 (80 enodes) 1540202297.283 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202297.283 * [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)))))) 1540202297.283 * * * * [misc]progress: [ 1257 / 6878 ] simplifiying candidate # 1540202297.283 * [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))))))) 1540202297.283 * * [misc]simplify: iters left: 6 (21 enodes) 1540202297.286 * * [misc]simplify: iters left: 5 (32 enodes) 1540202297.291 * * [misc]simplify: iters left: 4 (57 enodes) 1540202297.300 * * [misc]simplify: iters left: 3 (122 enodes) 1540202297.324 * * [misc]simplify: iters left: 2 (251 enodes) 1540202297.411 * [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))))))) 1540202297.411 * [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)))))))) 1540202297.412 * [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)))))) 1540202297.412 * * [misc]simplify: iters left: 6 (20 enodes) 1540202297.415 * * [misc]simplify: iters left: 5 (27 enodes) 1540202297.418 * * [misc]simplify: iters left: 4 (38 enodes) 1540202297.423 * * [misc]simplify: iters left: 3 (53 enodes) 1540202297.431 * * [misc]simplify: iters left: 2 (70 enodes) 1540202297.440 * * [misc]simplify: iters left: 1 (87 enodes) 1540202297.452 * [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)))))) 1540202297.452 * [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)))))))) 1540202297.452 * * * * [misc]progress: [ 1258 / 6878 ] simplifiying candidate # 1540202297.452 * [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)))))) 1540202297.453 * * [misc]simplify: iters left: 6 (20 enodes) 1540202297.455 * * [misc]simplify: iters left: 5 (29 enodes) 1540202297.460 * * [misc]simplify: iters left: 4 (46 enodes) 1540202297.468 * * [misc]simplify: iters left: 3 (80 enodes) 1540202297.481 * * [misc]simplify: iters left: 2 (135 enodes) 1540202297.506 * * [misc]simplify: iters left: 1 (205 enodes) 1540202297.553 * [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))))))) 1540202297.553 * [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)))))))) 1540202297.553 * [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)))))) 1540202297.553 * * [misc]simplify: iters left: 6 (20 enodes) 1540202297.556 * * [misc]simplify: iters left: 5 (27 enodes) 1540202297.560 * * [misc]simplify: iters left: 4 (38 enodes) 1540202297.565 * * [misc]simplify: iters left: 3 (53 enodes) 1540202297.573 * * [misc]simplify: iters left: 2 (70 enodes) 1540202297.582 * * [misc]simplify: iters left: 1 (87 enodes) 1540202297.595 * [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)))))) 1540202297.595 * [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)))))))) 1540202297.595 * * * * [misc]progress: [ 1259 / 6878 ] simplifiying candidate # 1540202297.595 * [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))) 1540202297.596 * * [misc]simplify: iters left: 6 (21 enodes) 1540202297.599 * * [misc]simplify: iters left: 5 (35 enodes) 1540202297.605 * * [misc]simplify: iters left: 4 (70 enodes) 1540202297.620 * * [misc]simplify: iters left: 3 (215 enodes) 1540202297.705 * [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)))))) 1540202297.705 * [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))))))) 1540202297.705 * [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))))) 1540202297.705 * * [misc]simplify: iters left: 6 (20 enodes) 1540202297.708 * * [misc]simplify: iters left: 5 (29 enodes) 1540202297.712 * * [misc]simplify: iters left: 4 (48 enodes) 1540202297.721 * * [misc]simplify: iters left: 3 (96 enodes) 1540202297.739 * * [misc]simplify: iters left: 2 (183 enodes) 1540202297.778 * * [misc]simplify: iters left: 1 (324 enodes) 1540202297.883 * [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))))) 1540202297.883 * [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))))))) 1540202297.883 * * * * [misc]progress: [ 1260 / 6878 ] simplifiying candidate # 1540202297.883 * [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))) 1540202297.883 * * [misc]simplify: iters left: 6 (21 enodes) 1540202297.888 * * [misc]simplify: iters left: 5 (35 enodes) 1540202297.894 * * [misc]simplify: iters left: 4 (70 enodes) 1540202297.908 * * [misc]simplify: iters left: 3 (215 enodes) 1540202297.995 * [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)))))) 1540202297.995 * [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))))))) 1540202297.995 * [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))))) 1540202297.995 * * [misc]simplify: iters left: 6 (20 enodes) 1540202297.998 * * [misc]simplify: iters left: 5 (29 enodes) 1540202298.002 * * [misc]simplify: iters left: 4 (48 enodes) 1540202298.009 * * [misc]simplify: iters left: 3 (96 enodes) 1540202298.029 * * [misc]simplify: iters left: 2 (183 enodes) 1540202298.067 * * [misc]simplify: iters left: 1 (324 enodes) 1540202298.175 * [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))))) 1540202298.175 * [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))))))) 1540202298.175 * * * * [misc]progress: [ 1261 / 6878 ] simplifiying candidate # 1540202298.175 * [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))))))) 1540202298.175 * * [misc]simplify: iters left: 6 (23 enodes) 1540202298.179 * * [misc]simplify: iters left: 5 (40 enodes) 1540202298.185 * * [misc]simplify: iters left: 4 (95 enodes) 1540202298.208 * * [misc]simplify: iters left: 3 (329 enodes) 1540202298.390 * [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)))))) 1540202298.390 * [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)))))))) 1540202298.390 * [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)))))) 1540202298.390 * * [misc]simplify: iters left: 6 (21 enodes) 1540202298.393 * * [misc]simplify: iters left: 5 (30 enodes) 1540202298.397 * * [misc]simplify: iters left: 4 (49 enodes) 1540202298.405 * * [misc]simplify: iters left: 3 (97 enodes) 1540202298.423 * * [misc]simplify: iters left: 2 (184 enodes) 1540202298.463 * * [misc]simplify: iters left: 1 (323 enodes) 1540202298.565 * [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)))))) 1540202298.565 * [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)))))))) 1540202298.565 * * * * [misc]progress: [ 1262 / 6878 ] simplifiying candidate # 1540202298.565 * [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)))))) 1540202298.566 * * [misc]simplify: iters left: 6 (22 enodes) 1540202298.569 * * [misc]simplify: iters left: 5 (35 enodes) 1540202298.574 * * [misc]simplify: iters left: 4 (70 enodes) 1540202298.587 * * [misc]simplify: iters left: 3 (215 enodes) 1540202298.682 * [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))))))) 1540202298.682 * [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)))))))) 1540202298.682 * [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)))))) 1540202298.682 * * [misc]simplify: iters left: 6 (21 enodes) 1540202298.685 * * [misc]simplify: iters left: 5 (30 enodes) 1540202298.689 * * [misc]simplify: iters left: 4 (49 enodes) 1540202298.697 * * [misc]simplify: iters left: 3 (97 enodes) 1540202298.715 * * [misc]simplify: iters left: 2 (184 enodes) 1540202298.755 * * [misc]simplify: iters left: 1 (323 enodes) 1540202298.858 * [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)))))) 1540202298.858 * [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)))))))) 1540202298.858 * * * * [misc]progress: [ 1263 / 6878 ] simplifiying candidate # 1540202298.858 * [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)) 1540202298.859 * * [misc]simplify: iters left: 6 (21 enodes) 1540202298.862 * * [misc]simplify: iters left: 5 (36 enodes) 1540202298.868 * * [misc]simplify: iters left: 4 (71 enodes) 1540202298.882 * * [misc]simplify: iters left: 3 (209 enodes) 1540202298.970 * [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)))))) 1540202298.970 * [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))))))) 1540202298.971 * [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))))) 1540202298.971 * * [misc]simplify: iters left: 6 (20 enodes) 1540202298.973 * * [misc]simplify: iters left: 5 (29 enodes) 1540202298.978 * * [misc]simplify: iters left: 4 (48 enodes) 1540202298.987 * * [misc]simplify: iters left: 3 (96 enodes) 1540202299.005 * * [misc]simplify: iters left: 2 (183 enodes) 1540202299.045 * * [misc]simplify: iters left: 1 (324 enodes) 1540202299.152 * [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))))) 1540202299.152 * [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))))))) 1540202299.152 * * * * [misc]progress: [ 1264 / 6878 ] simplifiying candidate # 1540202299.152 * [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))) 1540202299.152 * * [misc]simplify: iters left: 6 (22 enodes) 1540202299.156 * * [misc]simplify: iters left: 5 (35 enodes) 1540202299.164 * * [misc]simplify: iters left: 4 (60 enodes) 1540202299.174 * * [misc]simplify: iters left: 3 (136 enodes) 1540202299.206 * * [misc]simplify: iters left: 2 (320 enodes) 1540202299.324 * [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)))))) 1540202299.324 * [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))))))) 1540202299.324 * [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))))) 1540202299.325 * * [misc]simplify: iters left: 6 (21 enodes) 1540202299.327 * * [misc]simplify: iters left: 5 (30 enodes) 1540202299.333 * * [misc]simplify: iters left: 4 (49 enodes) 1540202299.341 * * [misc]simplify: iters left: 3 (97 enodes) 1540202299.358 * * [misc]simplify: iters left: 2 (184 enodes) 1540202299.398 * * [misc]simplify: iters left: 1 (323 enodes) 1540202299.499 * [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)))) 1540202299.499 * [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)))))) 1540202299.499 * * * * [misc]progress: [ 1265 / 6878 ] simplifiying candidate # 1540202299.500 * [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))) 1540202299.500 * * [misc]simplify: iters left: 6 (22 enodes) 1540202299.503 * * [misc]simplify: iters left: 5 (35 enodes) 1540202299.510 * * [misc]simplify: iters left: 4 (60 enodes) 1540202299.521 * * [misc]simplify: iters left: 3 (136 enodes) 1540202299.551 * * [misc]simplify: iters left: 2 (320 enodes) 1540202299.670 * [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)))))) 1540202299.670 * [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))))))) 1540202299.670 * [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))))) 1540202299.671 * * [misc]simplify: iters left: 6 (21 enodes) 1540202299.673 * * [misc]simplify: iters left: 5 (30 enodes) 1540202299.678 * * [misc]simplify: iters left: 4 (49 enodes) 1540202299.687 * * [misc]simplify: iters left: 3 (97 enodes) 1540202299.705 * * [misc]simplify: iters left: 2 (184 enodes) 1540202299.745 * * [misc]simplify: iters left: 1 (323 enodes) 1540202299.848 * [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)))) 1540202299.848 * [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)))))) 1540202299.848 * * * * [misc]progress: [ 1266 / 6878 ] simplifiying candidate # 1540202299.848 * [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))))))) 1540202299.848 * * [misc]simplify: iters left: 6 (24 enodes) 1540202299.852 * * [misc]simplify: iters left: 5 (38 enodes) 1540202299.857 * * [misc]simplify: iters left: 4 (69 enodes) 1540202299.871 * * [misc]simplify: iters left: 3 (181 enodes) 1540202299.934 * [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)))))) 1540202299.934 * [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)))))))) 1540202299.934 * [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)))))) 1540202299.934 * * [misc]simplify: iters left: 6 (22 enodes) 1540202299.937 * * [misc]simplify: iters left: 5 (31 enodes) 1540202299.942 * * [misc]simplify: iters left: 4 (50 enodes) 1540202299.949 * * [misc]simplify: iters left: 3 (98 enodes) 1540202299.967 * * [misc]simplify: iters left: 2 (185 enodes) 1540202300.007 * * [misc]simplify: iters left: 1 (321 enodes) 1540202300.105 * [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)))))) 1540202300.105 * [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)))))))) 1540202300.105 * * * * [misc]progress: [ 1267 / 6878 ] simplifiying candidate # 1540202300.105 * [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)))))) 1540202300.105 * * [misc]simplify: iters left: 6 (23 enodes) 1540202300.108 * * [misc]simplify: iters left: 5 (35 enodes) 1540202300.114 * * [misc]simplify: iters left: 4 (60 enodes) 1540202300.124 * * [misc]simplify: iters left: 3 (136 enodes) 1540202300.153 * * [misc]simplify: iters left: 2 (314 enodes) 1540202300.268 * [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))))))) 1540202300.268 * [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)))))))) 1540202300.269 * [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)))))) 1540202300.269 * * [misc]simplify: iters left: 6 (22 enodes) 1540202300.272 * * [misc]simplify: iters left: 5 (31 enodes) 1540202300.278 * * [misc]simplify: iters left: 4 (50 enodes) 1540202300.285 * * [misc]simplify: iters left: 3 (98 enodes) 1540202300.303 * * [misc]simplify: iters left: 2 (185 enodes) 1540202300.343 * * [misc]simplify: iters left: 1 (321 enodes) 1540202300.444 * [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)))))) 1540202300.444 * [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)))))))) 1540202300.444 * * * * [misc]progress: [ 1268 / 6878 ] simplifiying candidate # 1540202300.444 * [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)) 1540202300.444 * * [misc]simplify: iters left: 6 (22 enodes) 1540202300.447 * * [misc]simplify: iters left: 5 (35 enodes) 1540202300.453 * * [misc]simplify: iters left: 4 (57 enodes) 1540202300.463 * * [misc]simplify: iters left: 3 (113 enodes) 1540202300.489 * * [misc]simplify: iters left: 2 (339 enodes) 1540202300.637 * [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)))))) 1540202300.637 * [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))))))) 1540202300.637 * [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))))) 1540202300.637 * * [misc]simplify: iters left: 6 (21 enodes) 1540202300.640 * * [misc]simplify: iters left: 5 (30 enodes) 1540202300.644 * * [misc]simplify: iters left: 4 (49 enodes) 1540202300.652 * * [misc]simplify: iters left: 3 (97 enodes) 1540202300.669 * * [misc]simplify: iters left: 2 (184 enodes) 1540202300.709 * * [misc]simplify: iters left: 1 (323 enodes) 1540202300.812 * [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))))) 1540202300.812 * [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))))))) 1540202300.812 * * * * [misc]progress: [ 1269 / 6878 ] simplifiying candidate # 1540202300.812 * [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))) 1540202300.812 * * [misc]simplify: iters left: 6 (19 enodes) 1540202300.816 * * [misc]simplify: iters left: 5 (31 enodes) 1540202300.821 * * [misc]simplify: iters left: 4 (55 enodes) 1540202300.830 * * [misc]simplify: iters left: 3 (128 enodes) 1540202300.861 * * [misc]simplify: iters left: 2 (287 enodes) 1540202300.962 * [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)))))) 1540202300.962 * [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))))))) 1540202300.964 * [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))))) 1540202300.964 * * [misc]simplify: iters left: 6 (19 enodes) 1540202300.966 * * [misc]simplify: iters left: 5 (28 enodes) 1540202300.970 * * [misc]simplify: iters left: 4 (46 enodes) 1540202300.978 * * [misc]simplify: iters left: 3 (91 enodes) 1540202300.995 * * [misc]simplify: iters left: 2 (156 enodes) 1540202301.027 * * [misc]simplify: iters left: 1 (240 enodes) 1540202301.085 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202301.085 * [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))))) 1540202301.085 * * * * [misc]progress: [ 1270 / 6878 ] simplifiying candidate # 1540202301.085 * [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))) 1540202301.085 * * [misc]simplify: iters left: 6 (19 enodes) 1540202301.089 * * [misc]simplify: iters left: 5 (31 enodes) 1540202301.094 * * [misc]simplify: iters left: 4 (55 enodes) 1540202301.104 * * [misc]simplify: iters left: 3 (128 enodes) 1540202301.135 * * [misc]simplify: iters left: 2 (287 enodes) 1540202301.235 * [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)))))) 1540202301.235 * [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))))))) 1540202301.235 * [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))))) 1540202301.236 * * [misc]simplify: iters left: 6 (19 enodes) 1540202301.238 * * [misc]simplify: iters left: 5 (28 enodes) 1540202301.242 * * [misc]simplify: iters left: 4 (46 enodes) 1540202301.249 * * [misc]simplify: iters left: 3 (91 enodes) 1540202301.265 * * [misc]simplify: iters left: 2 (156 enodes) 1540202301.299 * * [misc]simplify: iters left: 1 (240 enodes) 1540202301.356 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202301.356 * [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))))) 1540202301.356 * * * * [misc]progress: [ 1271 / 6878 ] simplifiying candidate # 1540202301.356 * [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))))))) 1540202301.357 * * [misc]simplify: iters left: 6 (21 enodes) 1540202301.360 * * [misc]simplify: iters left: 5 (34 enodes) 1540202301.365 * * [misc]simplify: iters left: 4 (64 enodes) 1540202301.376 * * [misc]simplify: iters left: 3 (173 enodes) 1540202301.427 * * [misc]simplify: iters left: 2 (484 enodes) 1540202301.728 * [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)))))) 1540202301.728 * [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)))))))) 1540202301.728 * [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)))))) 1540202301.728 * * [misc]simplify: iters left: 6 (20 enodes) 1540202301.731 * * [misc]simplify: iters left: 5 (29 enodes) 1540202301.735 * * [misc]simplify: iters left: 4 (47 enodes) 1540202301.742 * * [misc]simplify: iters left: 3 (92 enodes) 1540202301.758 * * [misc]simplify: iters left: 2 (157 enodes) 1540202301.790 * * [misc]simplify: iters left: 1 (237 enodes) 1540202301.842 * [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)))))) 1540202301.842 * [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)))))))) 1540202301.843 * * * * [misc]progress: [ 1272 / 6878 ] simplifiying candidate # 1540202301.843 * [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)))))) 1540202301.843 * * [misc]simplify: iters left: 6 (20 enodes) 1540202301.846 * * [misc]simplify: iters left: 5 (31 enodes) 1540202301.851 * * [misc]simplify: iters left: 4 (55 enodes) 1540202301.860 * * [misc]simplify: iters left: 3 (128 enodes) 1540202301.889 * * [misc]simplify: iters left: 2 (288 enodes) 1540202301.989 * [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)))))) 1540202301.989 * [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)))))))) 1540202301.989 * [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)))))) 1540202301.989 * * [misc]simplify: iters left: 6 (20 enodes) 1540202301.992 * * [misc]simplify: iters left: 5 (29 enodes) 1540202301.996 * * [misc]simplify: iters left: 4 (47 enodes) 1540202302.003 * * [misc]simplify: iters left: 3 (92 enodes) 1540202302.019 * * [misc]simplify: iters left: 2 (157 enodes) 1540202302.052 * * [misc]simplify: iters left: 1 (237 enodes) 1540202302.106 * [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)))))) 1540202302.106 * [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)))))))) 1540202302.107 * * * * [misc]progress: [ 1273 / 6878 ] simplifiying candidate # 1540202302.107 * [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)) 1540202302.107 * * [misc]simplify: iters left: 6 (19 enodes) 1540202302.110 * * [misc]simplify: iters left: 5 (32 enodes) 1540202302.115 * * [misc]simplify: iters left: 4 (62 enodes) 1540202302.125 * * [misc]simplify: iters left: 3 (136 enodes) 1540202302.153 * * [misc]simplify: iters left: 2 (240 enodes) 1540202302.231 * * [misc]simplify: iters left: 1 (463 enodes) 1540202302.376 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202302.376 * [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))))))) 1540202302.376 * [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))))) 1540202302.376 * * [misc]simplify: iters left: 6 (19 enodes) 1540202302.379 * * [misc]simplify: iters left: 5 (28 enodes) 1540202302.385 * * [misc]simplify: iters left: 4 (46 enodes) 1540202302.392 * * [misc]simplify: iters left: 3 (91 enodes) 1540202302.408 * * [misc]simplify: iters left: 2 (156 enodes) 1540202302.440 * * [misc]simplify: iters left: 1 (240 enodes) 1540202302.498 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202302.498 * [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))))) 1540202302.498 * * * * [misc]progress: [ 1274 / 6878 ] simplifiying candidate # 1540202302.498 * [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))) 1540202302.498 * * [misc]simplify: iters left: 6 (21 enodes) 1540202302.502 * * [misc]simplify: iters left: 5 (35 enodes) 1540202302.509 * * [misc]simplify: iters left: 4 (62 enodes) 1540202302.522 * * [misc]simplify: iters left: 3 (168 enodes) 1540202302.577 * [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)))))) 1540202302.577 * [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))))))) 1540202302.577 * [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))))) 1540202302.577 * * [misc]simplify: iters left: 6 (19 enodes) 1540202302.580 * * [misc]simplify: iters left: 5 (28 enodes) 1540202302.584 * * [misc]simplify: iters left: 4 (47 enodes) 1540202302.591 * * [misc]simplify: iters left: 3 (95 enodes) 1540202302.608 * * [misc]simplify: iters left: 2 (182 enodes) 1540202302.648 * * [misc]simplify: iters left: 1 (319 enodes) 1540202302.750 * [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))))) 1540202302.750 * [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))))))) 1540202302.750 * * * * [misc]progress: [ 1275 / 6878 ] simplifiying candidate # 1540202302.750 * [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))) 1540202302.750 * * [misc]simplify: iters left: 6 (21 enodes) 1540202302.754 * * [misc]simplify: iters left: 5 (35 enodes) 1540202302.760 * * [misc]simplify: iters left: 4 (62 enodes) 1540202302.772 * * [misc]simplify: iters left: 3 (168 enodes) 1540202302.825 * [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)))))) 1540202302.825 * [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))))))) 1540202302.826 * [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))))) 1540202302.826 * * [misc]simplify: iters left: 6 (19 enodes) 1540202302.828 * * [misc]simplify: iters left: 5 (28 enodes) 1540202302.832 * * [misc]simplify: iters left: 4 (47 enodes) 1540202302.839 * * [misc]simplify: iters left: 3 (95 enodes) 1540202302.856 * * [misc]simplify: iters left: 2 (182 enodes) 1540202302.897 * * [misc]simplify: iters left: 1 (319 enodes) 1540202302.998 * [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))))) 1540202302.998 * [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))))))) 1540202302.998 * * * * [misc]progress: [ 1276 / 6878 ] simplifiying candidate # 1540202302.998 * [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))))))) 1540202302.998 * * [misc]simplify: iters left: 6 (23 enodes) 1540202303.002 * * [misc]simplify: iters left: 5 (38 enodes) 1540202303.008 * * [misc]simplify: iters left: 4 (72 enodes) 1540202303.023 * * [misc]simplify: iters left: 3 (225 enodes) 1540202303.112 * [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)))))) 1540202303.112 * [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)))))))) 1540202303.112 * [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)))))) 1540202303.112 * * [misc]simplify: iters left: 6 (20 enodes) 1540202303.117 * * [misc]simplify: iters left: 5 (29 enodes) 1540202303.121 * * [misc]simplify: iters left: 4 (48 enodes) 1540202303.128 * * [misc]simplify: iters left: 3 (96 enodes) 1540202303.146 * * [misc]simplify: iters left: 2 (183 enodes) 1540202303.187 * * [misc]simplify: iters left: 1 (326 enodes) 1540202303.292 * [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)))))) 1540202303.292 * [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)))))))) 1540202303.292 * * * * [misc]progress: [ 1277 / 6878 ] simplifiying candidate # 1540202303.292 * [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)))))) 1540202303.292 * * [misc]simplify: iters left: 6 (22 enodes) 1540202303.296 * * [misc]simplify: iters left: 5 (35 enodes) 1540202303.301 * * [misc]simplify: iters left: 4 (62 enodes) 1540202303.312 * * [misc]simplify: iters left: 3 (168 enodes) 1540202303.366 * [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)))))) 1540202303.366 * [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)))))))) 1540202303.366 * [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)))))) 1540202303.367 * * [misc]simplify: iters left: 6 (20 enodes) 1540202303.369 * * [misc]simplify: iters left: 5 (29 enodes) 1540202303.373 * * [misc]simplify: iters left: 4 (48 enodes) 1540202303.380 * * [misc]simplify: iters left: 3 (96 enodes) 1540202303.397 * * [misc]simplify: iters left: 2 (183 enodes) 1540202303.438 * * [misc]simplify: iters left: 1 (326 enodes) 1540202303.541 * [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)))))) 1540202303.542 * [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)))))))) 1540202303.542 * * * * [misc]progress: [ 1278 / 6878 ] simplifiying candidate # 1540202303.542 * [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)) 1540202303.542 * * [misc]simplify: iters left: 6 (20 enodes) 1540202303.546 * * [misc]simplify: iters left: 5 (33 enodes) 1540202303.550 * * [misc]simplify: iters left: 4 (47 enodes) 1540202303.557 * * [misc]simplify: iters left: 3 (86 enodes) 1540202303.572 * * [misc]simplify: iters left: 2 (197 enodes) 1540202303.662 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202303.662 * [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))))))) 1540202303.662 * [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))))) 1540202303.662 * * [misc]simplify: iters left: 6 (19 enodes) 1540202303.665 * * [misc]simplify: iters left: 5 (28 enodes) 1540202303.669 * * [misc]simplify: iters left: 4 (47 enodes) 1540202303.676 * * [misc]simplify: iters left: 3 (95 enodes) 1540202303.694 * * [misc]simplify: iters left: 2 (182 enodes) 1540202303.734 * * [misc]simplify: iters left: 1 (319 enodes) 1540202303.839 * [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)))))) 1540202303.839 * [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)))))))) 1540202303.839 * * * * [misc]progress: [ 1279 / 6878 ] simplifiying candidate # 1540202303.840 * [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))) 1540202303.840 * * [misc]simplify: iters left: 6 (19 enodes) 1540202303.844 * * [misc]simplify: iters left: 5 (31 enodes) 1540202303.851 * * [misc]simplify: iters left: 4 (55 enodes) 1540202303.863 * * [misc]simplify: iters left: 3 (128 enodes) 1540202303.892 * * [misc]simplify: iters left: 2 (287 enodes) 1540202303.991 * [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)))))) 1540202303.991 * [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))))))) 1540202303.991 * [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))))) 1540202303.991 * * [misc]simplify: iters left: 6 (19 enodes) 1540202303.994 * * [misc]simplify: iters left: 5 (28 enodes) 1540202303.998 * * [misc]simplify: iters left: 4 (46 enodes) 1540202304.005 * * [misc]simplify: iters left: 3 (91 enodes) 1540202304.022 * * [misc]simplify: iters left: 2 (156 enodes) 1540202304.053 * * [misc]simplify: iters left: 1 (240 enodes) 1540202304.109 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202304.109 * [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))))) 1540202304.110 * * * * [misc]progress: [ 1280 / 6878 ] simplifiying candidate # 1540202304.110 * [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))) 1540202304.110 * * [misc]simplify: iters left: 6 (19 enodes) 1540202304.113 * * [misc]simplify: iters left: 5 (31 enodes) 1540202304.119 * * [misc]simplify: iters left: 4 (55 enodes) 1540202304.128 * * [misc]simplify: iters left: 3 (128 enodes) 1540202304.159 * * [misc]simplify: iters left: 2 (287 enodes) 1540202304.260 * [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)))))) 1540202304.260 * [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))))))) 1540202304.260 * [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))))) 1540202304.260 * * [misc]simplify: iters left: 6 (19 enodes) 1540202304.263 * * [misc]simplify: iters left: 5 (28 enodes) 1540202304.267 * * [misc]simplify: iters left: 4 (46 enodes) 1540202304.274 * * [misc]simplify: iters left: 3 (91 enodes) 1540202304.290 * * [misc]simplify: iters left: 2 (156 enodes) 1540202304.323 * * [misc]simplify: iters left: 1 (240 enodes) 1540202304.381 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202304.381 * [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))))) 1540202304.381 * * * * [misc]progress: [ 1281 / 6878 ] simplifiying candidate # 1540202304.381 * [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))))))) 1540202304.382 * * [misc]simplify: iters left: 6 (21 enodes) 1540202304.385 * * [misc]simplify: iters left: 5 (34 enodes) 1540202304.390 * * [misc]simplify: iters left: 4 (64 enodes) 1540202304.402 * * [misc]simplify: iters left: 3 (173 enodes) 1540202304.453 * * [misc]simplify: iters left: 2 (484 enodes) 1540202304.754 * [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)))))) 1540202304.754 * [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)))))))) 1540202304.754 * [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)))))) 1540202304.754 * * [misc]simplify: iters left: 6 (20 enodes) 1540202304.757 * * [misc]simplify: iters left: 5 (29 enodes) 1540202304.761 * * [misc]simplify: iters left: 4 (47 enodes) 1540202304.768 * * [misc]simplify: iters left: 3 (92 enodes) 1540202304.784 * * [misc]simplify: iters left: 2 (157 enodes) 1540202304.816 * * [misc]simplify: iters left: 1 (237 enodes) 1540202304.868 * [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)))))) 1540202304.868 * [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))))) (* (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)))))))) 1540202304.868 * * * * [misc]progress: [ 1282 / 6878 ] simplifiying candidate # 1540202304.868 * [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)))))) 1540202304.868 * * [misc]simplify: iters left: 6 (20 enodes) 1540202304.872 * * [misc]simplify: iters left: 5 (31 enodes) 1540202304.876 * * [misc]simplify: iters left: 4 (55 enodes) 1540202304.885 * * [misc]simplify: iters left: 3 (128 enodes) 1540202304.914 * * [misc]simplify: iters left: 2 (288 enodes) 1540202305.015 * [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)))))) 1540202305.015 * [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)))))))) 1540202305.015 * [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)))))) 1540202305.015 * * [misc]simplify: iters left: 6 (20 enodes) 1540202305.019 * * [misc]simplify: iters left: 5 (29 enodes) 1540202305.023 * * [misc]simplify: iters left: 4 (47 enodes) 1540202305.030 * * [misc]simplify: iters left: 3 (92 enodes) 1540202305.046 * * [misc]simplify: iters left: 2 (157 enodes) 1540202305.080 * * [misc]simplify: iters left: 1 (237 enodes) 1540202305.134 * [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)))))) 1540202305.134 * [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)))))))) 1540202305.134 * * * * [misc]progress: [ 1283 / 6878 ] simplifiying candidate # 1540202305.134 * [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)) 1540202305.134 * * [misc]simplify: iters left: 6 (19 enodes) 1540202305.137 * * [misc]simplify: iters left: 5 (32 enodes) 1540202305.143 * * [misc]simplify: iters left: 4 (62 enodes) 1540202305.153 * * [misc]simplify: iters left: 3 (136 enodes) 1540202305.182 * * [misc]simplify: iters left: 2 (240 enodes) 1540202305.261 * * [misc]simplify: iters left: 1 (463 enodes) 1540202305.406 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202305.406 * [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))))))) 1540202305.406 * [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))))) 1540202305.406 * * [misc]simplify: iters left: 6 (19 enodes) 1540202305.410 * * [misc]simplify: iters left: 5 (28 enodes) 1540202305.414 * * [misc]simplify: iters left: 4 (46 enodes) 1540202305.421 * * [misc]simplify: iters left: 3 (91 enodes) 1540202305.437 * * [misc]simplify: iters left: 2 (156 enodes) 1540202305.470 * * [misc]simplify: iters left: 1 (240 enodes) 1540202305.526 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202305.526 * [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))))) 1540202305.526 * * * * [misc]progress: [ 1284 / 6878 ] simplifiying candidate # 1540202305.527 * [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))) 1540202305.527 * * [misc]simplify: iters left: 6 (20 enodes) 1540202305.530 * * [misc]simplify: iters left: 5 (34 enodes) 1540202305.537 * * [misc]simplify: iters left: 4 (57 enodes) 1540202305.547 * * [misc]simplify: iters left: 3 (131 enodes) 1540202305.576 * * [misc]simplify: iters left: 2 (372 enodes) 1540202305.770 * [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)))))) 1540202305.770 * [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))))))) 1540202305.770 * [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))))) 1540202305.770 * * [misc]simplify: iters left: 6 (19 enodes) 1540202305.773 * * [misc]simplify: iters left: 5 (28 enodes) 1540202305.777 * * [misc]simplify: iters left: 4 (47 enodes) 1540202305.784 * * [misc]simplify: iters left: 3 (95 enodes) 1540202305.801 * * [misc]simplify: iters left: 2 (182 enodes) 1540202305.840 * * [misc]simplify: iters left: 1 (319 enodes) 1540202305.941 * [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))))) 1540202305.941 * [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))))))) 1540202305.942 * * * * [misc]progress: [ 1285 / 6878 ] simplifiying candidate # 1540202305.942 * [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))) 1540202305.942 * * [misc]simplify: iters left: 6 (20 enodes) 1540202305.945 * * [misc]simplify: iters left: 5 (34 enodes) 1540202305.951 * * [misc]simplify: iters left: 4 (57 enodes) 1540202305.961 * * [misc]simplify: iters left: 3 (131 enodes) 1540202305.990 * * [misc]simplify: iters left: 2 (372 enodes) 1540202306.186 * [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)))))) 1540202306.186 * [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))))))) 1540202306.186 * [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))))) 1540202306.186 * * [misc]simplify: iters left: 6 (19 enodes) 1540202306.189 * * [misc]simplify: iters left: 5 (28 enodes) 1540202306.193 * * [misc]simplify: iters left: 4 (47 enodes) 1540202306.200 * * [misc]simplify: iters left: 3 (95 enodes) 1540202306.218 * * [misc]simplify: iters left: 2 (182 enodes) 1540202306.259 * * [misc]simplify: iters left: 1 (319 enodes) 1540202306.362 * [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))))) 1540202306.362 * [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))))))) 1540202306.362 * * * * [misc]progress: [ 1286 / 6878 ] simplifiying candidate # 1540202306.363 * [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))))))) 1540202306.363 * * [misc]simplify: iters left: 6 (22 enodes) 1540202306.366 * * [misc]simplify: iters left: 5 (37 enodes) 1540202306.371 * * [misc]simplify: iters left: 4 (66 enodes) 1540202306.385 * * [misc]simplify: iters left: 3 (185 enodes) 1540202306.452 * [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))))) 1540202306.452 * [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)))))))) 1540202306.452 * [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)))))) 1540202306.453 * * [misc]simplify: iters left: 6 (20 enodes) 1540202306.455 * * [misc]simplify: iters left: 5 (29 enodes) 1540202306.460 * * [misc]simplify: iters left: 4 (48 enodes) 1540202306.467 * * [misc]simplify: iters left: 3 (96 enodes) 1540202306.487 * * [misc]simplify: iters left: 2 (183 enodes) 1540202306.526 * * [misc]simplify: iters left: 1 (326 enodes) 1540202306.630 * [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)))))) 1540202306.630 * [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)))))))) 1540202306.630 * * * * [misc]progress: [ 1287 / 6878 ] simplifiying candidate # 1540202306.631 * [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)))))) 1540202306.631 * * [misc]simplify: iters left: 6 (21 enodes) 1540202306.634 * * [misc]simplify: iters left: 5 (34 enodes) 1540202306.639 * * [misc]simplify: iters left: 4 (57 enodes) 1540202306.649 * * [misc]simplify: iters left: 3 (131 enodes) 1540202306.681 * * [misc]simplify: iters left: 2 (371 enodes) 1540202306.863 * [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)))))) 1540202306.864 * [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)))))))) 1540202306.864 * [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)))))) 1540202306.864 * * [misc]simplify: iters left: 6 (20 enodes) 1540202306.867 * * [misc]simplify: iters left: 5 (29 enodes) 1540202306.871 * * [misc]simplify: iters left: 4 (48 enodes) 1540202306.879 * * [misc]simplify: iters left: 3 (96 enodes) 1540202306.897 * * [misc]simplify: iters left: 2 (183 enodes) 1540202306.940 * * [misc]simplify: iters left: 1 (326 enodes) 1540202307.046 * [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)))))) 1540202307.046 * [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)))))))) 1540202307.046 * * * * [misc]progress: [ 1288 / 6878 ] simplifiying candidate # 1540202307.047 * [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)) 1540202307.047 * * [misc]simplify: iters left: 6 (19 enodes) 1540202307.050 * * [misc]simplify: iters left: 5 (30 enodes) 1540202307.054 * * [misc]simplify: iters left: 4 (45 enodes) 1540202307.061 * * [misc]simplify: iters left: 3 (80 enodes) 1540202307.074 * * [misc]simplify: iters left: 2 (144 enodes) 1540202307.101 * * [misc]simplify: iters left: 1 (312 enodes) 1540202307.209 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540202307.209 * [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))))))) 1540202307.210 * [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))))) 1540202307.210 * * [misc]simplify: iters left: 6 (19 enodes) 1540202307.212 * * [misc]simplify: iters left: 5 (28 enodes) 1540202307.216 * * [misc]simplify: iters left: 4 (47 enodes) 1540202307.224 * * [misc]simplify: iters left: 3 (95 enodes) 1540202307.242 * * [misc]simplify: iters left: 2 (182 enodes) 1540202307.282 * * [misc]simplify: iters left: 1 (319 enodes) 1540202307.383 * [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)))))) 1540202307.383 * [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)))))))) 1540202307.384 * * * * [misc]progress: [ 1289 / 6878 ] simplifiying candidate # 1540202307.384 * [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) 1540202307.384 * * [misc]simplify: iters left: 6 (18 enodes) 1540202307.386 * * [misc]simplify: iters left: 5 (29 enodes) 1540202307.390 * * [misc]simplify: iters left: 4 (48 enodes) 1540202307.398 * * [misc]simplify: iters left: 3 (89 enodes) 1540202307.413 * * [misc]simplify: iters left: 2 (162 enodes) 1540202307.444 * * [misc]simplify: iters left: 1 (329 enodes) 1540202307.569 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202307.569 * [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))))))) 1540202307.569 * [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))))) 1540202307.569 * * [misc]simplify: iters left: 6 (19 enodes) 1540202307.572 * * [misc]simplify: iters left: 5 (28 enodes) 1540202307.576 * * [misc]simplify: iters left: 4 (47 enodes) 1540202307.583 * * [misc]simplify: iters left: 3 (95 enodes) 1540202307.601 * * [misc]simplify: iters left: 2 (182 enodes) 1540202307.641 * * [misc]simplify: iters left: 1 (319 enodes) 1540202307.745 * [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)))))) 1540202307.745 * [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)))))))) 1540202307.745 * * * * [misc]progress: [ 1290 / 6878 ] simplifiying candidate # 1540202307.745 * [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))) 1540202307.745 * * [misc]simplify: iters left: 6 (17 enodes) 1540202307.748 * * [misc]simplify: iters left: 5 (26 enodes) 1540202307.751 * * [misc]simplify: iters left: 4 (43 enodes) 1540202307.758 * * [misc]simplify: iters left: 3 (77 enodes) 1540202307.770 * * [misc]simplify: iters left: 2 (129 enodes) 1540202307.795 * * [misc]simplify: iters left: 1 (202 enodes) 1540202307.840 * [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))))) 1540202307.841 * [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))))))) 1540202307.841 * [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))))) 1540202307.841 * * [misc]simplify: iters left: 6 (20 enodes) 1540202307.844 * * [misc]simplify: iters left: 5 (31 enodes) 1540202307.848 * * [misc]simplify: iters left: 4 (48 enodes) 1540202307.856 * * [misc]simplify: iters left: 3 (100 enodes) 1540202307.875 * * [misc]simplify: iters left: 2 (208 enodes) 1540202307.941 * [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)))) 1540202307.941 * [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)))))) 1540202307.941 * * * * [misc]progress: [ 1291 / 6878 ] simplifiying candidate # 1540202307.941 * [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))) 1540202307.941 * * [misc]simplify: iters left: 6 (19 enodes) 1540202307.945 * * [misc]simplify: iters left: 5 (31 enodes) 1540202307.950 * * [misc]simplify: iters left: 4 (56 enodes) 1540202307.960 * * [misc]simplify: iters left: 3 (132 enodes) 1540202307.991 * * [misc]simplify: iters left: 2 (314 enodes) 1540202308.108 * [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)))))) 1540202308.108 * [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))))) 1540202308.108 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202308.108 * * [misc]simplify: iters left: 6 (18 enodes) 1540202308.110 * * [misc]simplify: iters left: 5 (25 enodes) 1540202308.114 * * [misc]simplify: iters left: 4 (36 enodes) 1540202308.118 * * [misc]simplify: iters left: 3 (51 enodes) 1540202308.125 * * [misc]simplify: iters left: 2 (68 enodes) 1540202308.134 * * [misc]simplify: iters left: 1 (85 enodes) 1540202308.145 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540202308.145 * [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)))))) 1540202308.146 * * * * [misc]progress: [ 1292 / 6878 ] simplifiying candidate # 1540202308.146 * [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))))))) 1540202308.146 * * [misc]simplify: iters left: 6 (20 enodes) 1540202308.149 * * [misc]simplify: iters left: 5 (29 enodes) 1540202308.153 * * [misc]simplify: iters left: 4 (50 enodes) 1540202308.160 * * [misc]simplify: iters left: 3 (85 enodes) 1540202308.173 * * [misc]simplify: iters left: 2 (132 enodes) 1540202308.196 * * [misc]simplify: iters left: 1 (199 enodes) 1540202308.235 * [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)))))) 1540202308.235 * [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)))))))) 1540202308.235 * [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)))))) 1540202308.235 * * [misc]simplify: iters left: 6 (20 enodes) 1540202308.238 * * [misc]simplify: iters left: 5 (27 enodes) 1540202308.242 * * [misc]simplify: iters left: 4 (38 enodes) 1540202308.247 * * [misc]simplify: iters left: 3 (53 enodes) 1540202308.254 * * [misc]simplify: iters left: 2 (70 enodes) 1540202308.263 * * [misc]simplify: iters left: 1 (87 enodes) 1540202308.275 * [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)))))) 1540202308.275 * [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)))))))) 1540202308.275 * * * * [misc]progress: [ 1293 / 6878 ] simplifiying candidate # 1540202308.275 * [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)))))) 1540202308.275 * * [misc]simplify: iters left: 6 (19 enodes) 1540202308.278 * * [misc]simplify: iters left: 5 (26 enodes) 1540202308.281 * * [misc]simplify: iters left: 4 (39 enodes) 1540202308.286 * * [misc]simplify: iters left: 3 (54 enodes) 1540202308.293 * * [misc]simplify: iters left: 2 (71 enodes) 1540202308.303 * * [misc]simplify: iters left: 1 (88 enodes) 1540202308.315 * [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)))))) 1540202308.315 * [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)))))))) 1540202308.315 * [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)))))) 1540202308.315 * * [misc]simplify: iters left: 6 (20 enodes) 1540202308.318 * * [misc]simplify: iters left: 5 (27 enodes) 1540202308.321 * * [misc]simplify: iters left: 4 (38 enodes) 1540202308.326 * * [misc]simplify: iters left: 3 (53 enodes) 1540202308.333 * * [misc]simplify: iters left: 2 (70 enodes) 1540202308.342 * * [misc]simplify: iters left: 1 (87 enodes) 1540202308.354 * [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)))))) 1540202308.354 * [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)))))))) 1540202308.354 * * * * [misc]progress: [ 1294 / 6878 ] simplifiying candidate # 1540202308.354 * [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))) 1540202308.354 * * [misc]simplify: iters left: 6 (20 enodes) 1540202308.358 * * [misc]simplify: iters left: 5 (32 enodes) 1540202308.364 * * [misc]simplify: iters left: 4 (63 enodes) 1540202308.376 * * [misc]simplify: iters left: 3 (165 enodes) 1540202308.421 * * [misc]simplify: iters left: 2 (420 enodes) 1540202308.604 * [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))))) 1540202308.604 * [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))))))) 1540202308.605 * [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))))) 1540202308.605 * * [misc]simplify: iters left: 6 (20 enodes) 1540202308.608 * * [misc]simplify: iters left: 5 (29 enodes) 1540202308.612 * * [misc]simplify: iters left: 4 (48 enodes) 1540202308.619 * * [misc]simplify: iters left: 3 (96 enodes) 1540202308.636 * * [misc]simplify: iters left: 2 (183 enodes) 1540202308.678 * * [misc]simplify: iters left: 1 (324 enodes) 1540202308.784 * [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))))) 1540202308.784 * [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))))))) 1540202308.784 * * * * [misc]progress: [ 1295 / 6878 ] simplifiying candidate # 1540202308.784 * [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))) 1540202308.784 * * [misc]simplify: iters left: 6 (20 enodes) 1540202308.788 * * [misc]simplify: iters left: 5 (32 enodes) 1540202308.793 * * [misc]simplify: iters left: 4 (63 enodes) 1540202308.804 * * [misc]simplify: iters left: 3 (165 enodes) 1540202308.852 * * [misc]simplify: iters left: 2 (420 enodes) 1540202309.036 * [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))))) 1540202309.036 * [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))))))) 1540202309.036 * [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))))) 1540202309.036 * * [misc]simplify: iters left: 6 (20 enodes) 1540202309.039 * * [misc]simplify: iters left: 5 (29 enodes) 1540202309.045 * * [misc]simplify: iters left: 4 (48 enodes) 1540202309.053 * * [misc]simplify: iters left: 3 (96 enodes) 1540202309.071 * * [misc]simplify: iters left: 2 (183 enodes) 1540202309.111 * * [misc]simplify: iters left: 1 (324 enodes) 1540202309.217 * [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))))) 1540202309.217 * [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))))))) 1540202309.217 * * * * [misc]progress: [ 1296 / 6878 ] simplifiying candidate # 1540202309.217 * [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))))))) 1540202309.217 * * [misc]simplify: iters left: 6 (22 enodes) 1540202309.222 * * [misc]simplify: iters left: 5 (37 enodes) 1540202309.228 * * [misc]simplify: iters left: 4 (88 enodes) 1540202309.246 * * [misc]simplify: iters left: 3 (266 enodes) 1540202309.356 * [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))))))) 1540202309.356 * [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)))))))) 1540202309.356 * [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)))))) 1540202309.356 * * [misc]simplify: iters left: 6 (21 enodes) 1540202309.359 * * [misc]simplify: iters left: 5 (30 enodes) 1540202309.364 * * [misc]simplify: iters left: 4 (49 enodes) 1540202309.371 * * [misc]simplify: iters left: 3 (97 enodes) 1540202309.389 * * [misc]simplify: iters left: 2 (184 enodes) 1540202309.430 * * [misc]simplify: iters left: 1 (323 enodes) 1540202309.531 * [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)))))) 1540202309.531 * [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)))))))) 1540202309.531 * * * * [misc]progress: [ 1297 / 6878 ] simplifiying candidate # 1540202309.532 * [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)))))) 1540202309.532 * * [misc]simplify: iters left: 6 (21 enodes) 1540202309.534 * * [misc]simplify: iters left: 5 (32 enodes) 1540202309.539 * * [misc]simplify: iters left: 4 (63 enodes) 1540202309.550 * * [misc]simplify: iters left: 3 (165 enodes) 1540202309.596 * * [misc]simplify: iters left: 2 (422 enodes) 1540202309.782 * [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)))))) 1540202309.782 * [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)))))))) 1540202309.782 * [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)))))) 1540202309.782 * * [misc]simplify: iters left: 6 (21 enodes) 1540202309.785 * * [misc]simplify: iters left: 5 (30 enodes) 1540202309.789 * * [misc]simplify: iters left: 4 (49 enodes) 1540202309.797 * * [misc]simplify: iters left: 3 (97 enodes) 1540202309.815 * * [misc]simplify: iters left: 2 (184 enodes) 1540202309.854 * * [misc]simplify: iters left: 1 (323 enodes) 1540202309.953 * [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)))))) 1540202309.953 * [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)))))))) 1540202309.953 * * * * [misc]progress: [ 1298 / 6878 ] simplifiying candidate # 1540202309.954 * [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)) 1540202309.954 * * [misc]simplify: iters left: 6 (20 enodes) 1540202309.957 * * [misc]simplify: iters left: 5 (33 enodes) 1540202309.962 * * [misc]simplify: iters left: 4 (64 enodes) 1540202309.974 * * [misc]simplify: iters left: 3 (161 enodes) 1540202310.028 * [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))))) 1540202310.028 * [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))))))) 1540202310.028 * [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))))) 1540202310.028 * * [misc]simplify: iters left: 6 (20 enodes) 1540202310.031 * * [misc]simplify: iters left: 5 (29 enodes) 1540202310.037 * * [misc]simplify: iters left: 4 (48 enodes) 1540202310.044 * * [misc]simplify: iters left: 3 (96 enodes) 1540202310.061 * * [misc]simplify: iters left: 2 (183 enodes) 1540202310.100 * * [misc]simplify: iters left: 1 (324 enodes) 1540202310.207 * [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))))) 1540202310.207 * [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))))))) 1540202310.207 * * * * [misc]progress: [ 1299 / 6878 ] simplifiying candidate # 1540202310.207 * [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))) 1540202310.207 * * [misc]simplify: iters left: 6 (21 enodes) 1540202310.211 * * [misc]simplify: iters left: 5 (32 enodes) 1540202310.216 * * [misc]simplify: iters left: 4 (53 enodes) 1540202310.224 * * [misc]simplify: iters left: 3 (101 enodes) 1540202310.243 * * [misc]simplify: iters left: 2 (188 enodes) 1540202310.285 * * [misc]simplify: iters left: 1 (329 enodes) 1540202310.391 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540202310.391 * [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))))))) 1540202310.392 * [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))))) 1540202310.392 * * [misc]simplify: iters left: 6 (21 enodes) 1540202310.395 * * [misc]simplify: iters left: 5 (30 enodes) 1540202310.399 * * [misc]simplify: iters left: 4 (49 enodes) 1540202310.406 * * [misc]simplify: iters left: 3 (97 enodes) 1540202310.424 * * [misc]simplify: iters left: 2 (184 enodes) 1540202310.465 * * [misc]simplify: iters left: 1 (323 enodes) 1540202310.567 * [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)))) 1540202310.567 * [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)))))) 1540202310.568 * * * * [misc]progress: [ 1300 / 6878 ] simplifiying candidate # 1540202310.568 * [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))) 1540202310.568 * * [misc]simplify: iters left: 6 (21 enodes) 1540202310.572 * * [misc]simplify: iters left: 5 (32 enodes) 1540202310.577 * * [misc]simplify: iters left: 4 (53 enodes) 1540202310.585 * * [misc]simplify: iters left: 3 (101 enodes) 1540202310.603 * * [misc]simplify: iters left: 2 (188 enodes) 1540202310.644 * * [misc]simplify: iters left: 1 (329 enodes) 1540202310.749 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540202310.749 * [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))))))) 1540202310.749 * [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))))) 1540202310.749 * * [misc]simplify: iters left: 6 (21 enodes) 1540202310.752 * * [misc]simplify: iters left: 5 (30 enodes) 1540202310.757 * * [misc]simplify: iters left: 4 (49 enodes) 1540202310.764 * * [misc]simplify: iters left: 3 (97 enodes) 1540202310.781 * * [misc]simplify: iters left: 2 (184 enodes) 1540202310.821 * * [misc]simplify: iters left: 1 (323 enodes) 1540202310.923 * [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)))) 1540202310.923 * [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)))))) 1540202310.923 * * * * [misc]progress: [ 1301 / 6878 ] simplifiying candidate # 1540202310.923 * [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))))))) 1540202310.923 * * [misc]simplify: iters left: 6 (23 enodes) 1540202310.927 * * [misc]simplify: iters left: 5 (35 enodes) 1540202310.932 * * [misc]simplify: iters left: 4 (62 enodes) 1540202310.942 * * [misc]simplify: iters left: 3 (141 enodes) 1540202310.975 * * [misc]simplify: iters left: 2 (337 enodes) 1540202311.113 * [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))))))) 1540202311.114 * [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)))))))) 1540202311.115 * [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)))))) 1540202311.115 * * [misc]simplify: iters left: 6 (22 enodes) 1540202311.118 * * [misc]simplify: iters left: 5 (31 enodes) 1540202311.122 * * [misc]simplify: iters left: 4 (50 enodes) 1540202311.130 * * [misc]simplify: iters left: 3 (98 enodes) 1540202311.149 * * [misc]simplify: iters left: 2 (185 enodes) 1540202311.188 * * [misc]simplify: iters left: 1 (321 enodes) 1540202311.286 * [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)))))) 1540202311.286 * [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)))))))) 1540202311.287 * * * * [misc]progress: [ 1302 / 6878 ] simplifiying candidate # 1540202311.287 * [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)))))) 1540202311.287 * * [misc]simplify: iters left: 6 (22 enodes) 1540202311.290 * * [misc]simplify: iters left: 5 (32 enodes) 1540202311.294 * * [misc]simplify: iters left: 4 (53 enodes) 1540202311.302 * * [misc]simplify: iters left: 3 (101 enodes) 1540202311.320 * * [misc]simplify: iters left: 2 (188 enodes) 1540202311.360 * * [misc]simplify: iters left: 1 (330 enodes) 1540202311.466 * [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)))))) 1540202311.466 * [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)))))))) 1540202311.466 * [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)))))) 1540202311.466 * * [misc]simplify: iters left: 6 (22 enodes) 1540202311.469 * * [misc]simplify: iters left: 5 (31 enodes) 1540202311.473 * * [misc]simplify: iters left: 4 (50 enodes) 1540202311.481 * * [misc]simplify: iters left: 3 (98 enodes) 1540202311.500 * * [misc]simplify: iters left: 2 (185 enodes) 1540202311.537 * * [misc]simplify: iters left: 1 (321 enodes) 1540202311.636 * [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)))))) 1540202311.636 * [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)))))))) 1540202311.636 * * * * [misc]progress: [ 1303 / 6878 ] simplifiying candidate # 1540202311.636 * [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)) 1540202311.637 * * [misc]simplify: iters left: 6 (21 enodes) 1540202311.639 * * [misc]simplify: iters left: 5 (32 enodes) 1540202311.644 * * [misc]simplify: iters left: 4 (50 enodes) 1540202311.652 * * [misc]simplify: iters left: 3 (84 enodes) 1540202311.666 * * [misc]simplify: iters left: 2 (177 enodes) 1540202311.719 * * [misc]simplify: iters left: 1 (384 enodes) 1540202311.906 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540202311.907 * [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))))))) 1540202311.907 * [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))))) 1540202311.907 * * [misc]simplify: iters left: 6 (21 enodes) 1540202311.910 * * [misc]simplify: iters left: 5 (30 enodes) 1540202311.914 * * [misc]simplify: iters left: 4 (49 enodes) 1540202311.921 * * [misc]simplify: iters left: 3 (97 enodes) 1540202311.938 * * [misc]simplify: iters left: 2 (184 enodes) 1540202311.979 * * [misc]simplify: iters left: 1 (323 enodes) 1540202312.080 * [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))))) 1540202312.080 * [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))))))) 1540202312.080 * * * * [misc]progress: [ 1304 / 6878 ] simplifiying candidate # 1540202312.080 * [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))) 1540202312.080 * * [misc]simplify: iters left: 6 (18 enodes) 1540202312.083 * * [misc]simplify: iters left: 5 (28 enodes) 1540202312.088 * * [misc]simplify: iters left: 4 (48 enodes) 1540202312.095 * * [misc]simplify: iters left: 3 (93 enodes) 1540202312.111 * * [misc]simplify: iters left: 2 (158 enodes) 1540202312.145 * * [misc]simplify: iters left: 1 (243 enodes) 1540202312.200 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202312.200 * [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))))))) 1540202312.200 * [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))))) 1540202312.200 * * [misc]simplify: iters left: 6 (19 enodes) 1540202312.203 * * [misc]simplify: iters left: 5 (28 enodes) 1540202312.207 * * [misc]simplify: iters left: 4 (46 enodes) 1540202312.214 * * [misc]simplify: iters left: 3 (91 enodes) 1540202312.230 * * [misc]simplify: iters left: 2 (156 enodes) 1540202312.263 * * [misc]simplify: iters left: 1 (240 enodes) 1540202312.319 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202312.319 * [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))))) 1540202312.320 * * * * [misc]progress: [ 1305 / 6878 ] simplifiying candidate # 1540202312.320 * [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))) 1540202312.320 * * [misc]simplify: iters left: 6 (18 enodes) 1540202312.323 * * [misc]simplify: iters left: 5 (28 enodes) 1540202312.327 * * [misc]simplify: iters left: 4 (48 enodes) 1540202312.335 * * [misc]simplify: iters left: 3 (93 enodes) 1540202312.352 * * [misc]simplify: iters left: 2 (158 enodes) 1540202312.385 * * [misc]simplify: iters left: 1 (243 enodes) 1540202312.440 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202312.441 * [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))))))) 1540202312.441 * [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))))) 1540202312.441 * * [misc]simplify: iters left: 6 (19 enodes) 1540202312.444 * * [misc]simplify: iters left: 5 (28 enodes) 1540202312.447 * * [misc]simplify: iters left: 4 (46 enodes) 1540202312.454 * * [misc]simplify: iters left: 3 (91 enodes) 1540202312.470 * * [misc]simplify: iters left: 2 (156 enodes) 1540202312.503 * * [misc]simplify: iters left: 1 (240 enodes) 1540202312.559 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202312.559 * [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))))) 1540202312.559 * * * * [misc]progress: [ 1306 / 6878 ] simplifiying candidate # 1540202312.559 * [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))))))) 1540202312.560 * * [misc]simplify: iters left: 6 (20 enodes) 1540202312.562 * * [misc]simplify: iters left: 5 (31 enodes) 1540202312.567 * * [misc]simplify: iters left: 4 (57 enodes) 1540202312.576 * * [misc]simplify: iters left: 3 (133 enodes) 1540202312.619 * * [misc]simplify: iters left: 2 (298 enodes) 1540202312.730 * [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)))))) 1540202312.730 * [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)))))))) 1540202312.730 * [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)))))) 1540202312.730 * * [misc]simplify: iters left: 6 (20 enodes) 1540202312.733 * * [misc]simplify: iters left: 5 (29 enodes) 1540202312.737 * * [misc]simplify: iters left: 4 (47 enodes) 1540202312.746 * * [misc]simplify: iters left: 3 (92 enodes) 1540202312.762 * * [misc]simplify: iters left: 2 (157 enodes) 1540202312.793 * * [misc]simplify: iters left: 1 (237 enodes) 1540202312.848 * [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)))))) 1540202312.848 * [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)))))))) 1540202312.848 * * * * [misc]progress: [ 1307 / 6878 ] simplifiying candidate # 1540202312.848 * [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)))))) 1540202312.849 * * [misc]simplify: iters left: 6 (19 enodes) 1540202312.851 * * [misc]simplify: iters left: 5 (28 enodes) 1540202312.855 * * [misc]simplify: iters left: 4 (48 enodes) 1540202312.862 * * [misc]simplify: iters left: 3 (93 enodes) 1540202312.880 * * [misc]simplify: iters left: 2 (158 enodes) 1540202312.911 * * [misc]simplify: iters left: 1 (238 enodes) 1540202312.964 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202312.964 * [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)))))))) 1540202312.965 * [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)))))) 1540202312.965 * * [misc]simplify: iters left: 6 (20 enodes) 1540202312.967 * * [misc]simplify: iters left: 5 (29 enodes) 1540202312.972 * * [misc]simplify: iters left: 4 (47 enodes) 1540202312.979 * * [misc]simplify: iters left: 3 (92 enodes) 1540202312.996 * * [misc]simplify: iters left: 2 (157 enodes) 1540202313.028 * * [misc]simplify: iters left: 1 (237 enodes) 1540202313.082 * [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)))))) 1540202313.082 * [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)))))))) 1540202313.082 * * * * [misc]progress: [ 1308 / 6878 ] simplifiying candidate # 1540202313.082 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202313.082 * * [misc]simplify: iters left: 6 (18 enodes) 1540202313.085 * * [misc]simplify: iters left: 5 (29 enodes) 1540202313.089 * * [misc]simplify: iters left: 4 (53 enodes) 1540202313.097 * * [misc]simplify: iters left: 3 (93 enodes) 1540202313.111 * * [misc]simplify: iters left: 2 (132 enodes) 1540202313.137 * * [misc]simplify: iters left: 1 (205 enodes) 1540202313.183 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540202313.183 * [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))))))) 1540202313.183 * [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))))) 1540202313.183 * * [misc]simplify: iters left: 6 (19 enodes) 1540202313.186 * * [misc]simplify: iters left: 5 (28 enodes) 1540202313.190 * * [misc]simplify: iters left: 4 (46 enodes) 1540202313.197 * * [misc]simplify: iters left: 3 (91 enodes) 1540202313.213 * * [misc]simplify: iters left: 2 (156 enodes) 1540202313.246 * * [misc]simplify: iters left: 1 (240 enodes) 1540202313.303 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202313.303 * [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))))) 1540202313.303 * * * * [misc]progress: [ 1309 / 6878 ] simplifiying candidate # 1540202313.303 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202313.303 * * [misc]simplify: iters left: 6 (20 enodes) 1540202313.307 * * [misc]simplify: iters left: 5 (32 enodes) 1540202313.312 * * [misc]simplify: iters left: 4 (55 enodes) 1540202313.322 * * [misc]simplify: iters left: 3 (122 enodes) 1540202313.348 * * [misc]simplify: iters left: 2 (285 enodes) 1540202313.440 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) 1540202313.440 * [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))))))) 1540202313.440 * [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))))) 1540202313.440 * * [misc]simplify: iters left: 6 (19 enodes) 1540202313.443 * * [misc]simplify: iters left: 5 (28 enodes) 1540202313.447 * * [misc]simplify: iters left: 4 (47 enodes) 1540202313.454 * * [misc]simplify: iters left: 3 (95 enodes) 1540202313.471 * * [misc]simplify: iters left: 2 (182 enodes) 1540202313.512 * * [misc]simplify: iters left: 1 (319 enodes) 1540202313.613 * [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))))) 1540202313.613 * [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))))))) 1540202313.613 * * * * [misc]progress: [ 1310 / 6878 ] simplifiying candidate # 1540202313.613 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202313.614 * * [misc]simplify: iters left: 6 (20 enodes) 1540202313.617 * * [misc]simplify: iters left: 5 (32 enodes) 1540202313.622 * * [misc]simplify: iters left: 4 (55 enodes) 1540202313.632 * * [misc]simplify: iters left: 3 (122 enodes) 1540202313.660 * * [misc]simplify: iters left: 2 (285 enodes) 1540202313.749 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) 1540202313.749 * [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))))))) 1540202313.749 * [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))))) 1540202313.749 * * [misc]simplify: iters left: 6 (19 enodes) 1540202313.752 * * [misc]simplify: iters left: 5 (28 enodes) 1540202313.756 * * [misc]simplify: iters left: 4 (47 enodes) 1540202313.763 * * [misc]simplify: iters left: 3 (95 enodes) 1540202313.781 * * [misc]simplify: iters left: 2 (182 enodes) 1540202313.819 * * [misc]simplify: iters left: 1 (319 enodes) 1540202313.920 * [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))))) 1540202313.920 * [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))))))) 1540202313.920 * * * * [misc]progress: [ 1311 / 6878 ] simplifiying candidate # 1540202313.920 * [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))))))) 1540202313.921 * * [misc]simplify: iters left: 6 (22 enodes) 1540202313.924 * * [misc]simplify: iters left: 5 (35 enodes) 1540202313.929 * * [misc]simplify: iters left: 4 (65 enodes) 1540202313.940 * * [misc]simplify: iters left: 3 (170 enodes) 1540202313.982 * * [misc]simplify: iters left: 2 (454 enodes) 1540202314.200 * [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)))))) 1540202314.200 * [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)))))))) 1540202314.201 * [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)))))) 1540202314.201 * * [misc]simplify: iters left: 6 (20 enodes) 1540202314.204 * * [misc]simplify: iters left: 5 (29 enodes) 1540202314.208 * * [misc]simplify: iters left: 4 (48 enodes) 1540202314.215 * * [misc]simplify: iters left: 3 (96 enodes) 1540202314.233 * * [misc]simplify: iters left: 2 (183 enodes) 1540202314.273 * * [misc]simplify: iters left: 1 (326 enodes) 1540202314.379 * [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)))))) 1540202314.379 * [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)))))))) 1540202314.379 * * * * [misc]progress: [ 1312 / 6878 ] simplifiying candidate # 1540202314.379 * [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)))))) 1540202314.379 * * [misc]simplify: iters left: 6 (21 enodes) 1540202314.382 * * [misc]simplify: iters left: 5 (32 enodes) 1540202314.387 * * [misc]simplify: iters left: 4 (55 enodes) 1540202314.396 * * [misc]simplify: iters left: 3 (122 enodes) 1540202314.421 * * [misc]simplify: iters left: 2 (279 enodes) 1540202314.509 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202314.509 * [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)))))))) 1540202314.510 * [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)))))) 1540202314.510 * * [misc]simplify: iters left: 6 (20 enodes) 1540202314.513 * * [misc]simplify: iters left: 5 (29 enodes) 1540202314.517 * * [misc]simplify: iters left: 4 (48 enodes) 1540202314.524 * * [misc]simplify: iters left: 3 (96 enodes) 1540202314.542 * * [misc]simplify: iters left: 2 (183 enodes) 1540202314.582 * * [misc]simplify: iters left: 1 (326 enodes) 1540202314.686 * [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)))))) 1540202314.686 * [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)))))))) 1540202314.687 * * * * [misc]progress: [ 1313 / 6878 ] simplifiying candidate # 1540202314.687 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540202314.687 * * [misc]simplify: iters left: 6 (19 enodes) 1540202314.690 * * [misc]simplify: iters left: 5 (30 enodes) 1540202314.694 * * [misc]simplify: iters left: 4 (41 enodes) 1540202314.700 * * [misc]simplify: iters left: 3 (63 enodes) 1540202314.708 * * [misc]simplify: iters left: 2 (100 enodes) 1540202314.735 * * [misc]simplify: iters left: 1 (210 enodes) 1540202314.818 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202314.818 * [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))))))) 1540202314.818 * [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))))) 1540202314.818 * * [misc]simplify: iters left: 6 (19 enodes) 1540202314.821 * * [misc]simplify: iters left: 5 (28 enodes) 1540202314.825 * * [misc]simplify: iters left: 4 (47 enodes) 1540202314.832 * * [misc]simplify: iters left: 3 (95 enodes) 1540202314.850 * * [misc]simplify: iters left: 2 (182 enodes) 1540202314.888 * * [misc]simplify: iters left: 1 (319 enodes) 1540202314.990 * [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)))))) 1540202314.990 * [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)))))))) 1540202314.990 * * * * [misc]progress: [ 1314 / 6878 ] simplifiying candidate # 1540202314.990 * [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))) 1540202314.990 * * [misc]simplify: iters left: 6 (18 enodes) 1540202314.993 * * [misc]simplify: iters left: 5 (28 enodes) 1540202314.998 * * [misc]simplify: iters left: 4 (48 enodes) 1540202315.006 * * [misc]simplify: iters left: 3 (93 enodes) 1540202315.022 * * [misc]simplify: iters left: 2 (158 enodes) 1540202315.056 * * [misc]simplify: iters left: 1 (243 enodes) 1540202315.111 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202315.112 * [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))))))) 1540202315.112 * [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))))) 1540202315.112 * * [misc]simplify: iters left: 6 (19 enodes) 1540202315.114 * * [misc]simplify: iters left: 5 (28 enodes) 1540202315.119 * * [misc]simplify: iters left: 4 (46 enodes) 1540202315.126 * * [misc]simplify: iters left: 3 (91 enodes) 1540202315.141 * * [misc]simplify: iters left: 2 (156 enodes) 1540202315.174 * * [misc]simplify: iters left: 1 (240 enodes) 1540202315.230 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202315.230 * [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))))) 1540202315.231 * * * * [misc]progress: [ 1315 / 6878 ] simplifiying candidate # 1540202315.231 * [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))) 1540202315.231 * * [misc]simplify: iters left: 6 (18 enodes) 1540202315.234 * * [misc]simplify: iters left: 5 (28 enodes) 1540202315.238 * * [misc]simplify: iters left: 4 (48 enodes) 1540202315.246 * * [misc]simplify: iters left: 3 (93 enodes) 1540202315.263 * * [misc]simplify: iters left: 2 (158 enodes) 1540202315.297 * * [misc]simplify: iters left: 1 (243 enodes) 1540202315.352 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202315.352 * [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))))))) 1540202315.352 * [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))))) 1540202315.352 * * [misc]simplify: iters left: 6 (19 enodes) 1540202315.355 * * [misc]simplify: iters left: 5 (28 enodes) 1540202315.359 * * [misc]simplify: iters left: 4 (46 enodes) 1540202315.365 * * [misc]simplify: iters left: 3 (91 enodes) 1540202315.381 * * [misc]simplify: iters left: 2 (156 enodes) 1540202315.414 * * [misc]simplify: iters left: 1 (240 enodes) 1540202315.470 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202315.470 * [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))))) 1540202315.470 * * * * [misc]progress: [ 1316 / 6878 ] simplifiying candidate # 1540202315.471 * [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))))))) 1540202315.471 * * [misc]simplify: iters left: 6 (20 enodes) 1540202315.474 * * [misc]simplify: iters left: 5 (31 enodes) 1540202315.478 * * [misc]simplify: iters left: 4 (57 enodes) 1540202315.487 * * [misc]simplify: iters left: 3 (133 enodes) 1540202315.519 * * [misc]simplify: iters left: 2 (298 enodes) 1540202315.628 * [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)))))) 1540202315.628 * [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)))))))) 1540202315.629 * [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)))))) 1540202315.629 * * [misc]simplify: iters left: 6 (20 enodes) 1540202315.632 * * [misc]simplify: iters left: 5 (29 enodes) 1540202315.636 * * [misc]simplify: iters left: 4 (47 enodes) 1540202315.643 * * [misc]simplify: iters left: 3 (92 enodes) 1540202315.659 * * [misc]simplify: iters left: 2 (157 enodes) 1540202315.692 * * [misc]simplify: iters left: 1 (237 enodes) 1540202315.745 * [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)))))) 1540202315.746 * [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)))))))) 1540202315.746 * * * * [misc]progress: [ 1317 / 6878 ] simplifiying candidate # 1540202315.746 * [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)))))) 1540202315.746 * * [misc]simplify: iters left: 6 (19 enodes) 1540202315.749 * * [misc]simplify: iters left: 5 (28 enodes) 1540202315.753 * * [misc]simplify: iters left: 4 (48 enodes) 1540202315.760 * * [misc]simplify: iters left: 3 (93 enodes) 1540202315.776 * * [misc]simplify: iters left: 2 (158 enodes) 1540202315.809 * * [misc]simplify: iters left: 1 (238 enodes) 1540202315.861 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202315.861 * [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)))))))) 1540202315.861 * [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)))))) 1540202315.861 * * [misc]simplify: iters left: 6 (20 enodes) 1540202315.864 * * [misc]simplify: iters left: 5 (29 enodes) 1540202315.869 * * [misc]simplify: iters left: 4 (47 enodes) 1540202315.876 * * [misc]simplify: iters left: 3 (92 enodes) 1540202315.892 * * [misc]simplify: iters left: 2 (157 enodes) 1540202315.924 * * [misc]simplify: iters left: 1 (237 enodes) 1540202315.977 * [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)))))) 1540202315.977 * [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)))))))) 1540202315.977 * * * * [misc]progress: [ 1318 / 6878 ] simplifiying candidate # 1540202315.978 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202315.978 * * [misc]simplify: iters left: 6 (18 enodes) 1540202315.980 * * [misc]simplify: iters left: 5 (29 enodes) 1540202315.985 * * [misc]simplify: iters left: 4 (53 enodes) 1540202315.994 * * [misc]simplify: iters left: 3 (93 enodes) 1540202316.009 * * [misc]simplify: iters left: 2 (132 enodes) 1540202316.033 * * [misc]simplify: iters left: 1 (205 enodes) 1540202316.080 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540202316.080 * [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))))))) 1540202316.080 * [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))))) 1540202316.080 * * [misc]simplify: iters left: 6 (19 enodes) 1540202316.083 * * [misc]simplify: iters left: 5 (28 enodes) 1540202316.087 * * [misc]simplify: iters left: 4 (46 enodes) 1540202316.094 * * [misc]simplify: iters left: 3 (91 enodes) 1540202316.110 * * [misc]simplify: iters left: 2 (156 enodes) 1540202316.142 * * [misc]simplify: iters left: 1 (240 enodes) 1540202316.200 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202316.200 * [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))))) 1540202316.200 * * * * [misc]progress: [ 1319 / 6878 ] simplifiying candidate # 1540202316.200 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202316.200 * * [misc]simplify: iters left: 6 (19 enodes) 1540202316.204 * * [misc]simplify: iters left: 5 (31 enodes) 1540202316.208 * * [misc]simplify: iters left: 4 (50 enodes) 1540202316.217 * * [misc]simplify: iters left: 3 (102 enodes) 1540202316.236 * * [misc]simplify: iters left: 2 (206 enodes) 1540202316.295 * * [misc]simplify: iters left: 1 (471 enodes) 1540202316.617 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540202316.617 * [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))))))) 1540202316.617 * [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))))) 1540202316.618 * * [misc]simplify: iters left: 6 (19 enodes) 1540202316.620 * * [misc]simplify: iters left: 5 (28 enodes) 1540202316.624 * * [misc]simplify: iters left: 4 (47 enodes) 1540202316.632 * * [misc]simplify: iters left: 3 (95 enodes) 1540202316.649 * * [misc]simplify: iters left: 2 (182 enodes) 1540202316.689 * * [misc]simplify: iters left: 1 (319 enodes) 1540202316.791 * [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))))) 1540202316.791 * [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))))))) 1540202316.791 * * * * [misc]progress: [ 1320 / 6878 ] simplifiying candidate # 1540202316.791 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202316.791 * * [misc]simplify: iters left: 6 (19 enodes) 1540202316.795 * * [misc]simplify: iters left: 5 (31 enodes) 1540202316.800 * * [misc]simplify: iters left: 4 (50 enodes) 1540202316.808 * * [misc]simplify: iters left: 3 (102 enodes) 1540202316.827 * * [misc]simplify: iters left: 2 (206 enodes) 1540202316.886 * * [misc]simplify: iters left: 1 (471 enodes) 1540202317.202 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540202317.202 * [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))))))) 1540202317.202 * [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))))) 1540202317.202 * * [misc]simplify: iters left: 6 (19 enodes) 1540202317.205 * * [misc]simplify: iters left: 5 (28 enodes) 1540202317.208 * * [misc]simplify: iters left: 4 (47 enodes) 1540202317.215 * * [misc]simplify: iters left: 3 (95 enodes) 1540202317.235 * * [misc]simplify: iters left: 2 (182 enodes) 1540202317.273 * * [misc]simplify: iters left: 1 (319 enodes) 1540202317.374 * [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))))) 1540202317.375 * [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))))))) 1540202317.375 * * * * [misc]progress: [ 1321 / 6878 ] simplifiying candidate # 1540202317.375 * [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))))))) 1540202317.375 * * [misc]simplify: iters left: 6 (21 enodes) 1540202317.378 * * [misc]simplify: iters left: 5 (34 enodes) 1540202317.383 * * [misc]simplify: iters left: 4 (59 enodes) 1540202317.394 * * [misc]simplify: iters left: 3 (153 enodes) 1540202317.430 * * [misc]simplify: iters left: 2 (399 enodes) 1540202317.606 * [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)))))) 1540202317.606 * [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)))))))) 1540202317.606 * [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)))))) 1540202317.606 * * [misc]simplify: iters left: 6 (20 enodes) 1540202317.609 * * [misc]simplify: iters left: 5 (29 enodes) 1540202317.613 * * [misc]simplify: iters left: 4 (48 enodes) 1540202317.621 * * [misc]simplify: iters left: 3 (96 enodes) 1540202317.640 * * [misc]simplify: iters left: 2 (183 enodes) 1540202317.679 * * [misc]simplify: iters left: 1 (326 enodes) 1540202317.783 * [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)))))) 1540202317.783 * [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)))))))) 1540202317.783 * * * * [misc]progress: [ 1322 / 6878 ] simplifiying candidate # 1540202317.784 * [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)))))) 1540202317.784 * * [misc]simplify: iters left: 6 (20 enodes) 1540202317.787 * * [misc]simplify: iters left: 5 (31 enodes) 1540202317.791 * * [misc]simplify: iters left: 4 (50 enodes) 1540202317.799 * * [misc]simplify: iters left: 3 (102 enodes) 1540202317.819 * * [misc]simplify: iters left: 2 (206 enodes) 1540202317.872 * * [misc]simplify: iters left: 1 (486 enodes) 1540202318.321 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540202318.321 * [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)))))))) 1540202318.321 * [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)))))) 1540202318.321 * * [misc]simplify: iters left: 6 (20 enodes) 1540202318.324 * * [misc]simplify: iters left: 5 (29 enodes) 1540202318.328 * * [misc]simplify: iters left: 4 (48 enodes) 1540202318.337 * * [misc]simplify: iters left: 3 (96 enodes) 1540202318.355 * * [misc]simplify: iters left: 2 (183 enodes) 1540202318.395 * * [misc]simplify: iters left: 1 (326 enodes) 1540202318.498 * [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)))))) 1540202318.498 * [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)))))))) 1540202318.498 * * * * [misc]progress: [ 1323 / 6878 ] simplifiying candidate # 1540202318.499 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540202318.499 * * [misc]simplify: iters left: 6 (18 enodes) 1540202318.501 * * [misc]simplify: iters left: 5 (27 enodes) 1540202318.505 * * [misc]simplify: iters left: 4 (38 enodes) 1540202318.512 * * [misc]simplify: iters left: 3 (53 enodes) 1540202318.518 * * [misc]simplify: iters left: 2 (76 enodes) 1540202318.528 * * [misc]simplify: iters left: 1 (105 enodes) 1540202318.544 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202318.544 * [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))))))) 1540202318.544 * [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))))) 1540202318.544 * * [misc]simplify: iters left: 6 (19 enodes) 1540202318.547 * * [misc]simplify: iters left: 5 (28 enodes) 1540202318.551 * * [misc]simplify: iters left: 4 (47 enodes) 1540202318.558 * * [misc]simplify: iters left: 3 (95 enodes) 1540202318.577 * * [misc]simplify: iters left: 2 (182 enodes) 1540202318.615 * * [misc]simplify: iters left: 1 (319 enodes) 1540202318.716 * [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)))))) 1540202318.717 * [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)))))))) 1540202318.717 * * * * [misc]progress: [ 1324 / 6878 ] simplifiying candidate # 1540202318.717 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540202318.717 * * [misc]simplify: iters left: 6 (17 enodes) 1540202318.719 * * [misc]simplify: iters left: 5 (26 enodes) 1540202318.723 * * [misc]simplify: iters left: 4 (39 enodes) 1540202318.728 * * [misc]simplify: iters left: 3 (58 enodes) 1540202318.736 * * [misc]simplify: iters left: 2 (84 enodes) 1540202318.747 * * [misc]simplify: iters left: 1 (109 enodes) 1540202318.763 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202318.763 * [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))))))) 1540202318.763 * [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))))) 1540202318.763 * * [misc]simplify: iters left: 6 (19 enodes) 1540202318.766 * * [misc]simplify: iters left: 5 (28 enodes) 1540202318.770 * * [misc]simplify: iters left: 4 (47 enodes) 1540202318.776 * * [misc]simplify: iters left: 3 (95 enodes) 1540202318.794 * * [misc]simplify: iters left: 2 (182 enodes) 1540202318.834 * * [misc]simplify: iters left: 1 (319 enodes) 1540202318.936 * [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)))))) 1540202318.936 * [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)))))))) 1540202318.936 * * * * [misc]progress: [ 1325 / 6878 ] simplifiying candidate # 1540202318.936 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540202318.936 * * [misc]simplify: iters left: 6 (16 enodes) 1540202318.939 * * [misc]simplify: iters left: 5 (23 enodes) 1540202318.942 * * [misc]simplify: iters left: 4 (36 enodes) 1540202318.947 * * [misc]simplify: iters left: 3 (51 enodes) 1540202318.953 * * [misc]simplify: iters left: 2 (68 enodes) 1540202318.962 * * [misc]simplify: iters left: 1 (85 enodes) 1540202318.974 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202318.974 * [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))))))) 1540202318.974 * [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))))) 1540202318.974 * * [misc]simplify: iters left: 6 (20 enodes) 1540202318.977 * * [misc]simplify: iters left: 5 (31 enodes) 1540202318.981 * * [misc]simplify: iters left: 4 (48 enodes) 1540202318.989 * * [misc]simplify: iters left: 3 (100 enodes) 1540202319.008 * * [misc]simplify: iters left: 2 (208 enodes) 1540202319.073 * [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)))) 1540202319.074 * [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)))))) 1540202319.074 * * * * [misc]progress: [ 1326 / 6878 ] simplifiying candidate # 1540202319.074 * [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))) 1540202319.074 * * [misc]simplify: iters left: 6 (18 enodes) 1540202319.077 * * [misc]simplify: iters left: 5 (28 enodes) 1540202319.082 * * [misc]simplify: iters left: 4 (49 enodes) 1540202319.090 * * [misc]simplify: iters left: 3 (97 enodes) 1540202319.109 * * [misc]simplify: iters left: 2 (184 enodes) 1540202319.150 * * [misc]simplify: iters left: 1 (321 enodes) 1540202319.248 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202319.248 * [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))))) 1540202319.248 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202319.248 * * [misc]simplify: iters left: 6 (18 enodes) 1540202319.251 * * [misc]simplify: iters left: 5 (25 enodes) 1540202319.254 * * [misc]simplify: iters left: 4 (36 enodes) 1540202319.259 * * [misc]simplify: iters left: 3 (51 enodes) 1540202319.265 * * [misc]simplify: iters left: 2 (68 enodes) 1540202319.275 * * [misc]simplify: iters left: 1 (85 enodes) 1540202319.287 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540202319.287 * [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)))))) 1540202319.287 * * * * [misc]progress: [ 1327 / 6878 ] simplifiying candidate # 1540202319.287 * [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))))))) 1540202319.287 * * [misc]simplify: iters left: 6 (18 enodes) 1540202319.290 * * [misc]simplify: iters left: 5 (29 enodes) 1540202319.294 * * [misc]simplify: iters left: 4 (54 enodes) 1540202319.304 * * [misc]simplify: iters left: 3 (113 enodes) 1540202319.336 * * [misc]simplify: iters left: 2 (314 enodes) 1540202319.553 * [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))))))) 1540202319.553 * [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)))))))) 1540202319.553 * [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)))))) 1540202319.553 * * [misc]simplify: iters left: 6 (19 enodes) 1540202319.556 * * [misc]simplify: iters left: 5 (26 enodes) 1540202319.560 * * [misc]simplify: iters left: 4 (37 enodes) 1540202319.564 * * [misc]simplify: iters left: 3 (52 enodes) 1540202319.571 * * [misc]simplify: iters left: 2 (69 enodes) 1540202319.582 * * [misc]simplify: iters left: 1 (86 enodes) 1540202319.594 * [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)))))) 1540202319.594 * [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)))))))) 1540202319.594 * * * * [misc]progress: [ 1328 / 6878 ] simplifiying candidate # 1540202319.594 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202319.594 * * [misc]simplify: iters left: 6 (17 enodes) 1540202319.597 * * [misc]simplify: iters left: 5 (26 enodes) 1540202319.601 * * [misc]simplify: iters left: 4 (43 enodes) 1540202319.606 * * [misc]simplify: iters left: 3 (64 enodes) 1540202319.616 * * [misc]simplify: iters left: 2 (127 enodes) 1540202319.652 * * [misc]simplify: iters left: 1 (212 enodes) 1540202319.678 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202319.678 * [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)))))))) 1540202319.679 * [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)))))) 1540202319.679 * * [misc]simplify: iters left: 6 (19 enodes) 1540202319.681 * * [misc]simplify: iters left: 5 (26 enodes) 1540202319.685 * * [misc]simplify: iters left: 4 (37 enodes) 1540202319.690 * * [misc]simplify: iters left: 3 (52 enodes) 1540202319.697 * * [misc]simplify: iters left: 2 (69 enodes) 1540202319.706 * * [misc]simplify: iters left: 1 (86 enodes) 1540202319.719 * [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)))))) 1540202319.719 * [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)))))))) 1540202319.719 * * * * [misc]progress: [ 1329 / 6878 ] simplifiying candidate # 1540202319.719 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202319.719 * * [misc]simplify: iters left: 6 (16 enodes) 1540202319.723 * * [misc]simplify: iters left: 5 (28 enodes) 1540202319.727 * * [misc]simplify: iters left: 4 (59 enodes) 1540202319.738 * * [misc]simplify: iters left: 3 (142 enodes) 1540202319.783 * * [misc]simplify: iters left: 2 (403 enodes) 1540202319.965 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202319.965 * [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))))))) 1540202319.966 * [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))))) 1540202319.966 * * [misc]simplify: iters left: 6 (19 enodes) 1540202319.969 * * [misc]simplify: iters left: 5 (28 enodes) 1540202319.973 * * [misc]simplify: iters left: 4 (47 enodes) 1540202319.980 * * [misc]simplify: iters left: 3 (95 enodes) 1540202319.997 * * [misc]simplify: iters left: 2 (182 enodes) 1540202320.038 * * [misc]simplify: iters left: 1 (317 enodes) 1540202320.137 * [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)))))) 1540202320.137 * [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)))))))) 1540202320.137 * * * * [misc]progress: [ 1330 / 6878 ] simplifiying candidate # 1540202320.137 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202320.137 * * [misc]simplify: iters left: 6 (16 enodes) 1540202320.140 * * [misc]simplify: iters left: 5 (28 enodes) 1540202320.145 * * [misc]simplify: iters left: 4 (59 enodes) 1540202320.156 * * [misc]simplify: iters left: 3 (142 enodes) 1540202320.201 * * [misc]simplify: iters left: 2 (403 enodes) 1540202320.384 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202320.384 * [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))))))) 1540202320.385 * [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))))) 1540202320.385 * * [misc]simplify: iters left: 6 (19 enodes) 1540202320.387 * * [misc]simplify: iters left: 5 (28 enodes) 1540202320.391 * * [misc]simplify: iters left: 4 (47 enodes) 1540202320.399 * * [misc]simplify: iters left: 3 (95 enodes) 1540202320.418 * * [misc]simplify: iters left: 2 (182 enodes) 1540202320.457 * * [misc]simplify: iters left: 1 (317 enodes) 1540202320.846 * [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)))))) 1540202320.846 * [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)))))))) 1540202320.846 * * * * [misc]progress: [ 1331 / 6878 ] simplifiying candidate # 1540202320.846 * [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))))))) 1540202320.846 * * [misc]simplify: iters left: 6 (20 enodes) 1540202320.849 * * [misc]simplify: iters left: 5 (37 enodes) 1540202320.856 * * [misc]simplify: iters left: 4 (90 enodes) 1540202320.874 * * [misc]simplify: iters left: 3 (242 enodes) 1540202320.981 * [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)))))) 1540202320.981 * [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)))))))) 1540202320.981 * [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)))))) 1540202320.981 * * [misc]simplify: iters left: 6 (20 enodes) 1540202320.984 * * [misc]simplify: iters left: 5 (29 enodes) 1540202320.988 * * [misc]simplify: iters left: 4 (48 enodes) 1540202320.995 * * [misc]simplify: iters left: 3 (96 enodes) 1540202321.014 * * [misc]simplify: iters left: 2 (183 enodes) 1540202321.053 * * [misc]simplify: iters left: 1 (321 enodes) 1540202321.155 * [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)))))) 1540202321.155 * [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)))))))) 1540202321.155 * * * * [misc]progress: [ 1332 / 6878 ] simplifiying candidate # 1540202321.155 * [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)))))) 1540202321.155 * * [misc]simplify: iters left: 6 (19 enodes) 1540202321.158 * * [misc]simplify: iters left: 5 (32 enodes) 1540202321.163 * * [misc]simplify: iters left: 4 (66 enodes) 1540202321.175 * * [misc]simplify: iters left: 3 (151 enodes) 1540202321.219 * * [misc]simplify: iters left: 2 (410 enodes) 1540202321.392 * [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)))))) 1540202321.393 * [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)))))))) 1540202321.393 * [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)))))) 1540202321.393 * * [misc]simplify: iters left: 6 (20 enodes) 1540202321.396 * * [misc]simplify: iters left: 5 (29 enodes) 1540202321.400 * * [misc]simplify: iters left: 4 (48 enodes) 1540202321.407 * * [misc]simplify: iters left: 3 (96 enodes) 1540202321.427 * * [misc]simplify: iters left: 2 (183 enodes) 1540202321.465 * * [misc]simplify: iters left: 1 (321 enodes) 1540202321.567 * [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)))))) 1540202321.567 * [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)))))))) 1540202321.567 * * * * [misc]progress: [ 1333 / 6878 ] simplifiying candidate # 1540202321.568 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202321.568 * * [misc]simplify: iters left: 6 (14 enodes) 1540202321.570 * * [misc]simplify: iters left: 5 (25 enodes) 1540202321.574 * * [misc]simplify: iters left: 4 (51 enodes) 1540202321.582 * * [misc]simplify: iters left: 3 (85 enodes) 1540202321.596 * * [misc]simplify: iters left: 2 (186 enodes) 1540202321.659 * * [misc]simplify: iters left: 1 (333 enodes) 1540202321.738 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202321.738 * [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))))))) 1540202321.739 * [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))))) 1540202321.739 * * [misc]simplify: iters left: 6 (19 enodes) 1540202321.741 * * [misc]simplify: iters left: 5 (28 enodes) 1540202321.745 * * [misc]simplify: iters left: 4 (47 enodes) 1540202321.753 * * [misc]simplify: iters left: 3 (95 enodes) 1540202321.770 * * [misc]simplify: iters left: 2 (182 enodes) 1540202321.810 * * [misc]simplify: iters left: 1 (317 enodes) 1540202321.909 * [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)))))) 1540202321.909 * [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)))))))) 1540202321.909 * * * * [misc]progress: [ 1334 / 6878 ] simplifiying candidate # 1540202321.909 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202321.910 * * [misc]simplify: iters left: 6 (17 enodes) 1540202321.913 * * [misc]simplify: iters left: 5 (28 enodes) 1540202321.917 * * [misc]simplify: iters left: 4 (50 enodes) 1540202321.925 * * [misc]simplify: iters left: 3 (86 enodes) 1540202321.942 * * [misc]simplify: iters left: 2 (152 enodes) 1540202321.983 * * [misc]simplify: iters left: 1 (268 enodes) 1540202322.070 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540202322.070 * [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))))))) 1540202322.070 * [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))))) 1540202322.070 * * [misc]simplify: iters left: 6 (20 enodes) 1540202322.074 * * [misc]simplify: iters left: 5 (29 enodes) 1540202322.079 * * [misc]simplify: iters left: 4 (48 enodes) 1540202322.086 * * [misc]simplify: iters left: 3 (96 enodes) 1540202322.104 * * [misc]simplify: iters left: 2 (183 enodes) 1540202322.144 * * [misc]simplify: iters left: 1 (323 enodes) 1540202322.245 * [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)))) 1540202322.245 * [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)))))) 1540202322.245 * * * * [misc]progress: [ 1335 / 6878 ] simplifiying candidate # 1540202322.246 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202322.246 * * [misc]simplify: iters left: 6 (17 enodes) 1540202322.250 * * [misc]simplify: iters left: 5 (28 enodes) 1540202322.255 * * [misc]simplify: iters left: 4 (50 enodes) 1540202322.262 * * [misc]simplify: iters left: 3 (86 enodes) 1540202322.279 * * [misc]simplify: iters left: 2 (152 enodes) 1540202322.319 * * [misc]simplify: iters left: 1 (268 enodes) 1540202322.407 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540202322.407 * [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))))))) 1540202322.407 * [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))))) 1540202322.407 * * [misc]simplify: iters left: 6 (20 enodes) 1540202322.410 * * [misc]simplify: iters left: 5 (29 enodes) 1540202322.414 * * [misc]simplify: iters left: 4 (48 enodes) 1540202322.421 * * [misc]simplify: iters left: 3 (96 enodes) 1540202322.441 * * [misc]simplify: iters left: 2 (183 enodes) 1540202322.480 * * [misc]simplify: iters left: 1 (323 enodes) 1540202322.584 * [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)))) 1540202322.584 * [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)))))) 1540202322.585 * * * * [misc]progress: [ 1336 / 6878 ] simplifiying candidate # 1540202322.585 * [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))))))) 1540202322.585 * * [misc]simplify: iters left: 6 (21 enodes) 1540202322.588 * * [misc]simplify: iters left: 5 (35 enodes) 1540202322.594 * * [misc]simplify: iters left: 4 (66 enodes) 1540202322.604 * * [misc]simplify: iters left: 3 (118 enodes) 1540202322.628 * * [misc]simplify: iters left: 2 (332 enodes) 1540202322.774 * [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))))) 1540202322.774 * [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)))))))) 1540202322.775 * [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)))))) 1540202322.775 * * [misc]simplify: iters left: 6 (21 enodes) 1540202322.778 * * [misc]simplify: iters left: 5 (30 enodes) 1540202322.782 * * [misc]simplify: iters left: 4 (49 enodes) 1540202322.791 * * [misc]simplify: iters left: 3 (97 enodes) 1540202322.809 * * [misc]simplify: iters left: 2 (184 enodes) 1540202322.847 * * [misc]simplify: iters left: 1 (321 enodes) 1540202322.947 * [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)))))) 1540202322.947 * [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)))))))) 1540202322.947 * * * * [misc]progress: [ 1337 / 6878 ] simplifiying candidate # 1540202322.947 * [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)))))) 1540202322.948 * * [misc]simplify: iters left: 6 (20 enodes) 1540202322.950 * * [misc]simplify: iters left: 5 (32 enodes) 1540202322.956 * * [misc]simplify: iters left: 4 (57 enodes) 1540202322.964 * * [misc]simplify: iters left: 3 (93 enodes) 1540202322.981 * * [misc]simplify: iters left: 2 (185 enodes) 1540202323.035 * * [misc]simplify: iters left: 1 (354 enodes) 1540202323.180 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540202323.180 * [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)))))))) 1540202323.180 * [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)))))) 1540202323.180 * * [misc]simplify: iters left: 6 (21 enodes) 1540202323.183 * * [misc]simplify: iters left: 5 (30 enodes) 1540202323.187 * * [misc]simplify: iters left: 4 (49 enodes) 1540202323.195 * * [misc]simplify: iters left: 3 (97 enodes) 1540202323.214 * * [misc]simplify: iters left: 2 (184 enodes) 1540202323.252 * * [misc]simplify: iters left: 1 (321 enodes) 1540202323.353 * [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)))))) 1540202323.353 * [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)))))))) 1540202323.353 * * * * [misc]progress: [ 1338 / 6878 ] simplifiying candidate # 1540202323.353 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202323.353 * * [misc]simplify: iters left: 6 (15 enodes) 1540202323.355 * * [misc]simplify: iters left: 5 (24 enodes) 1540202323.359 * * [misc]simplify: iters left: 4 (41 enodes) 1540202323.365 * * [misc]simplify: iters left: 3 (56 enodes) 1540202323.372 * * [misc]simplify: iters left: 2 (74 enodes) 1540202323.383 * * [misc]simplify: iters left: 1 (89 enodes) 1540202323.397 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540202323.397 * [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))))))) 1540202323.397 * [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))))) 1540202323.397 * * [misc]simplify: iters left: 6 (20 enodes) 1540202323.400 * * [misc]simplify: iters left: 5 (29 enodes) 1540202323.404 * * [misc]simplify: iters left: 4 (48 enodes) 1540202323.412 * * [misc]simplify: iters left: 3 (96 enodes) 1540202323.429 * * [misc]simplify: iters left: 2 (183 enodes) 1540202323.470 * * [misc]simplify: iters left: 1 (323 enodes) 1540202323.573 * [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))))) 1540202323.573 * [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))))))) 1540202323.573 * * * * [misc]progress: [ 1339 / 6878 ] simplifiying candidate # 1540202323.573 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202323.574 * * [misc]simplify: iters left: 6 (14 enodes) 1540202323.576 * * [misc]simplify: iters left: 5 (24 enodes) 1540202323.581 * * [misc]simplify: iters left: 4 (51 enodes) 1540202323.589 * * [misc]simplify: iters left: 3 (75 enodes) 1540202323.601 * * [misc]simplify: iters left: 2 (119 enodes) 1540202323.625 * * [misc]simplify: iters left: 1 (163 enodes) 1540202323.665 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540202323.665 * [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))))))) 1540202323.665 * [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))))) 1540202323.665 * * [misc]simplify: iters left: 6 (18 enodes) 1540202323.668 * * [misc]simplify: iters left: 5 (27 enodes) 1540202323.672 * * [misc]simplify: iters left: 4 (45 enodes) 1540202323.679 * * [misc]simplify: iters left: 3 (90 enodes) 1540202323.696 * * [misc]simplify: iters left: 2 (155 enodes) 1540202323.727 * * [misc]simplify: iters left: 1 (239 enodes) 1540202323.782 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202323.782 * [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))))))) 1540202323.782 * * * * [misc]progress: [ 1340 / 6878 ] simplifiying candidate # 1540202323.783 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202323.783 * * [misc]simplify: iters left: 6 (14 enodes) 1540202323.786 * * [misc]simplify: iters left: 5 (24 enodes) 1540202323.790 * * [misc]simplify: iters left: 4 (51 enodes) 1540202323.798 * * [misc]simplify: iters left: 3 (75 enodes) 1540202323.812 * * [misc]simplify: iters left: 2 (119 enodes) 1540202323.834 * * [misc]simplify: iters left: 1 (163 enodes) 1540202323.875 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540202323.875 * [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))))))) 1540202323.875 * [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))))) 1540202323.875 * * [misc]simplify: iters left: 6 (18 enodes) 1540202323.878 * * [misc]simplify: iters left: 5 (27 enodes) 1540202323.882 * * [misc]simplify: iters left: 4 (45 enodes) 1540202323.888 * * [misc]simplify: iters left: 3 (90 enodes) 1540202323.904 * * [misc]simplify: iters left: 2 (155 enodes) 1540202323.937 * * [misc]simplify: iters left: 1 (239 enodes) 1540202323.992 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202323.992 * [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))))))) 1540202323.993 * * * * [misc]progress: [ 1341 / 6878 ] simplifiying candidate # 1540202323.993 * [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))))))) 1540202323.993 * * [misc]simplify: iters left: 6 (18 enodes) 1540202323.996 * * [misc]simplify: iters left: 5 (31 enodes) 1540202324.001 * * [misc]simplify: iters left: 4 (69 enodes) 1540202324.012 * * [misc]simplify: iters left: 3 (130 enodes) 1540202324.038 * * [misc]simplify: iters left: 2 (240 enodes) 1540202324.126 * * [misc]simplify: iters left: 1 (489 enodes) 1540202324.312 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202324.313 * [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)))))))) 1540202324.313 * [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)))))) 1540202324.313 * * [misc]simplify: iters left: 6 (19 enodes) 1540202324.316 * * [misc]simplify: iters left: 5 (28 enodes) 1540202324.319 * * [misc]simplify: iters left: 4 (46 enodes) 1540202324.327 * * [misc]simplify: iters left: 3 (91 enodes) 1540202324.344 * * [misc]simplify: iters left: 2 (156 enodes) 1540202324.376 * * [misc]simplify: iters left: 1 (239 enodes) 1540202324.430 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202324.430 * [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)))))))) 1540202324.430 * * * * [misc]progress: [ 1342 / 6878 ] simplifiying candidate # 1540202324.430 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202324.431 * * [misc]simplify: iters left: 6 (17 enodes) 1540202324.433 * * [misc]simplify: iters left: 5 (28 enodes) 1540202324.437 * * [misc]simplify: iters left: 4 (58 enodes) 1540202324.446 * * [misc]simplify: iters left: 3 (80 enodes) 1540202324.457 * * [misc]simplify: iters left: 2 (115 enodes) 1540202324.478 * * [misc]simplify: iters left: 1 (171 enodes) 1540202324.515 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540202324.515 * [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)))))))) 1540202324.516 * [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)))))) 1540202324.516 * * [misc]simplify: iters left: 6 (19 enodes) 1540202324.519 * * [misc]simplify: iters left: 5 (28 enodes) 1540202324.523 * * [misc]simplify: iters left: 4 (46 enodes) 1540202324.531 * * [misc]simplify: iters left: 3 (91 enodes) 1540202324.547 * * [misc]simplify: iters left: 2 (156 enodes) 1540202324.578 * * [misc]simplify: iters left: 1 (239 enodes) 1540202324.632 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202324.632 * [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)))))))) 1540202324.632 * * * * [misc]progress: [ 1343 / 6878 ] simplifiying candidate # 1540202324.632 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202324.632 * * [misc]simplify: iters left: 6 (11 enodes) 1540202324.634 * * [misc]simplify: iters left: 5 (20 enodes) 1540202324.638 * * [misc]simplify: iters left: 4 (37 enodes) 1540202324.643 * * [misc]simplify: iters left: 3 (44 enodes) 1540202324.647 * * [misc]simplify: iters left: 2 (53 enodes) 1540202324.653 * * [misc]simplify: iters left: 1 (63 enodes) 1540202324.660 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202324.660 * [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))))))) 1540202324.660 * [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))))) 1540202324.660 * * [misc]simplify: iters left: 6 (18 enodes) 1540202324.663 * * [misc]simplify: iters left: 5 (27 enodes) 1540202324.667 * * [misc]simplify: iters left: 4 (45 enodes) 1540202324.673 * * [misc]simplify: iters left: 3 (90 enodes) 1540202324.689 * * [misc]simplify: iters left: 2 (155 enodes) 1540202324.722 * * [misc]simplify: iters left: 1 (239 enodes) 1540202324.776 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540202324.777 * [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))))))) 1540202324.777 * * * * [misc]progress: [ 1344 / 6878 ] simplifiying candidate # 1540202324.777 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202324.777 * * [misc]simplify: iters left: 6 (15 enodes) 1540202324.780 * * [misc]simplify: iters left: 5 (25 enodes) 1540202324.785 * * [misc]simplify: iters left: 4 (49 enodes) 1540202324.794 * * [misc]simplify: iters left: 3 (109 enodes) 1540202324.821 * * [misc]simplify: iters left: 2 (173 enodes) 1540202324.864 * * [misc]simplify: iters left: 1 (213 enodes) 1540202324.909 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202324.909 * [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))))))) 1540202324.909 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202324.909 * * [misc]simplify: iters left: 6 (18 enodes) 1540202324.912 * * [misc]simplify: iters left: 5 (27 enodes) 1540202324.916 * * [misc]simplify: iters left: 4 (46 enodes) 1540202324.923 * * [misc]simplify: iters left: 3 (94 enodes) 1540202324.940 * * [misc]simplify: iters left: 2 (181 enodes) 1540202324.980 * * [misc]simplify: iters left: 1 (323 enodes) 1540202325.083 * [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)))) 1540202325.083 * [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)))))) 1540202325.083 * * * * [misc]progress: [ 1345 / 6878 ] simplifiying candidate # 1540202325.083 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202325.083 * * [misc]simplify: iters left: 6 (15 enodes) 1540202325.087 * * [misc]simplify: iters left: 5 (25 enodes) 1540202325.091 * * [misc]simplify: iters left: 4 (49 enodes) 1540202325.099 * * [misc]simplify: iters left: 3 (109 enodes) 1540202325.126 * * [misc]simplify: iters left: 2 (173 enodes) 1540202325.170 * * [misc]simplify: iters left: 1 (213 enodes) 1540202325.214 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202325.214 * [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))))))) 1540202325.214 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202325.215 * * [misc]simplify: iters left: 6 (18 enodes) 1540202325.217 * * [misc]simplify: iters left: 5 (27 enodes) 1540202325.221 * * [misc]simplify: iters left: 4 (46 enodes) 1540202325.228 * * [misc]simplify: iters left: 3 (94 enodes) 1540202325.245 * * [misc]simplify: iters left: 2 (181 enodes) 1540202325.285 * * [misc]simplify: iters left: 1 (323 enodes) 1540202325.388 * [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)))) 1540202325.389 * [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)))))) 1540202325.389 * * * * [misc]progress: [ 1346 / 6878 ] simplifiying candidate # 1540202325.389 * [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))))))) 1540202325.389 * * [misc]simplify: iters left: 6 (19 enodes) 1540202325.392 * * [misc]simplify: iters left: 5 (32 enodes) 1540202325.398 * * [misc]simplify: iters left: 4 (66 enodes) 1540202325.409 * * [misc]simplify: iters left: 3 (142 enodes) 1540202325.447 * * [misc]simplify: iters left: 2 (361 enodes) 1540202325.668 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202325.668 * [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)))))))) 1540202325.668 * [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)))))) 1540202325.668 * * [misc]simplify: iters left: 6 (19 enodes) 1540202325.671 * * [misc]simplify: iters left: 5 (28 enodes) 1540202325.675 * * [misc]simplify: iters left: 4 (47 enodes) 1540202325.682 * * [misc]simplify: iters left: 3 (95 enodes) 1540202325.699 * * [misc]simplify: iters left: 2 (182 enodes) 1540202325.740 * * [misc]simplify: iters left: 1 (317 enodes) 1540202325.840 * [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)))))) 1540202325.840 * [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)))))))) 1540202325.840 * * * * [misc]progress: [ 1347 / 6878 ] simplifiying candidate # 1540202325.840 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202325.840 * * [misc]simplify: iters left: 6 (18 enodes) 1540202325.843 * * [misc]simplify: iters left: 5 (29 enodes) 1540202325.848 * * [misc]simplify: iters left: 4 (56 enodes) 1540202325.857 * * [misc]simplify: iters left: 3 (116 enodes) 1540202325.886 * * [misc]simplify: iters left: 2 (224 enodes) 1540202325.980 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202325.980 * [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)))))))) 1540202325.980 * [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)))))) 1540202325.980 * * [misc]simplify: iters left: 6 (19 enodes) 1540202325.983 * * [misc]simplify: iters left: 5 (28 enodes) 1540202325.987 * * [misc]simplify: iters left: 4 (47 enodes) 1540202325.994 * * [misc]simplify: iters left: 3 (95 enodes) 1540202326.012 * * [misc]simplify: iters left: 2 (182 enodes) 1540202326.052 * * [misc]simplify: iters left: 1 (317 enodes) 1540202326.152 * [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)))))) 1540202326.152 * [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)))))))) 1540202326.152 * * * * [misc]progress: [ 1348 / 6878 ] simplifiying candidate # 1540202326.152 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) 1)) 1540202326.152 * * [misc]simplify: iters left: 6 (13 enodes) 1540202326.155 * * [misc]simplify: iters left: 5 (22 enodes) 1540202326.158 * * [misc]simplify: iters left: 4 (33 enodes) 1540202326.162 * * [misc]simplify: iters left: 3 (37 enodes) 1540202326.165 * * [misc]simplify: iters left: 2 (44 enodes) 1540202326.171 * * [misc]simplify: iters left: 1 (52 enodes) 1540202326.178 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202326.178 * [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))))))) 1540202326.178 * [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))))) 1540202326.178 * * [misc]simplify: iters left: 6 (18 enodes) 1540202326.181 * * [misc]simplify: iters left: 5 (27 enodes) 1540202326.184 * * [misc]simplify: iters left: 4 (46 enodes) 1540202326.191 * * [misc]simplify: iters left: 3 (94 enodes) 1540202326.210 * * [misc]simplify: iters left: 2 (181 enodes) 1540202326.249 * * [misc]simplify: iters left: 1 (323 enodes) 1540202326.353 * [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)))) 1540202326.353 * [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)))))) 1540202326.353 * * * * [misc]progress: [ 1349 / 6878 ] simplifiying candidate # 1540202326.353 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202326.353 * * [misc]simplify: iters left: 6 (14 enodes) 1540202326.356 * * [misc]simplify: iters left: 5 (24 enodes) 1540202326.360 * * [misc]simplify: iters left: 4 (51 enodes) 1540202326.369 * * [misc]simplify: iters left: 3 (75 enodes) 1540202326.383 * * [misc]simplify: iters left: 2 (119 enodes) 1540202326.405 * * [misc]simplify: iters left: 1 (163 enodes) 1540202326.446 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540202326.446 * [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))))))) 1540202326.446 * [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))))) 1540202326.446 * * [misc]simplify: iters left: 6 (18 enodes) 1540202326.449 * * [misc]simplify: iters left: 5 (27 enodes) 1540202326.453 * * [misc]simplify: iters left: 4 (45 enodes) 1540202326.460 * * [misc]simplify: iters left: 3 (90 enodes) 1540202326.476 * * [misc]simplify: iters left: 2 (155 enodes) 1540202326.509 * * [misc]simplify: iters left: 1 (239 enodes) 1540202326.564 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202326.564 * [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))))))) 1540202326.564 * * * * [misc]progress: [ 1350 / 6878 ] simplifiying candidate # 1540202326.564 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202326.564 * * [misc]simplify: iters left: 6 (14 enodes) 1540202326.567 * * [misc]simplify: iters left: 5 (24 enodes) 1540202326.571 * * [misc]simplify: iters left: 4 (51 enodes) 1540202326.579 * * [misc]simplify: iters left: 3 (75 enodes) 1540202326.592 * * [misc]simplify: iters left: 2 (119 enodes) 1540202326.614 * * [misc]simplify: iters left: 1 (163 enodes) 1540202326.655 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540202326.655 * [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))))))) 1540202326.655 * [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))))) 1540202326.655 * * [misc]simplify: iters left: 6 (18 enodes) 1540202326.658 * * [misc]simplify: iters left: 5 (27 enodes) 1540202326.662 * * [misc]simplify: iters left: 4 (45 enodes) 1540202326.669 * * [misc]simplify: iters left: 3 (90 enodes) 1540202326.685 * * [misc]simplify: iters left: 2 (155 enodes) 1540202326.717 * * [misc]simplify: iters left: 1 (239 enodes) 1540202326.772 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540202326.773 * [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))))))) 1540202326.773 * * * * [misc]progress: [ 1351 / 6878 ] simplifiying candidate # 1540202326.773 * [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))))))) 1540202326.773 * * [misc]simplify: iters left: 6 (18 enodes) 1540202326.776 * * [misc]simplify: iters left: 5 (31 enodes) 1540202326.781 * * [misc]simplify: iters left: 4 (69 enodes) 1540202326.792 * * [misc]simplify: iters left: 3 (130 enodes) 1540202326.819 * * [misc]simplify: iters left: 2 (240 enodes) 1540202326.906 * * [misc]simplify: iters left: 1 (489 enodes) 1540202327.095 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202327.095 * [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)))))))) 1540202327.095 * [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)))))) 1540202327.096 * * [misc]simplify: iters left: 6 (19 enodes) 1540202327.098 * * [misc]simplify: iters left: 5 (28 enodes) 1540202327.102 * * [misc]simplify: iters left: 4 (46 enodes) 1540202327.109 * * [misc]simplify: iters left: 3 (91 enodes) 1540202327.125 * * [misc]simplify: iters left: 2 (156 enodes) 1540202327.158 * * [misc]simplify: iters left: 1 (239 enodes) 1540202327.212 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202327.212 * [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)))))))) 1540202327.212 * * * * [misc]progress: [ 1352 / 6878 ] simplifiying candidate # 1540202327.212 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202327.212 * * [misc]simplify: iters left: 6 (17 enodes) 1540202327.216 * * [misc]simplify: iters left: 5 (28 enodes) 1540202327.220 * * [misc]simplify: iters left: 4 (58 enodes) 1540202327.229 * * [misc]simplify: iters left: 3 (80 enodes) 1540202327.240 * * [misc]simplify: iters left: 2 (115 enodes) 1540202327.260 * * [misc]simplify: iters left: 1 (171 enodes) 1540202327.299 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540202327.299 * [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)))))))) 1540202327.299 * [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)))))) 1540202327.300 * * [misc]simplify: iters left: 6 (19 enodes) 1540202327.302 * * [misc]simplify: iters left: 5 (28 enodes) 1540202327.306 * * [misc]simplify: iters left: 4 (46 enodes) 1540202327.313 * * [misc]simplify: iters left: 3 (91 enodes) 1540202327.329 * * [misc]simplify: iters left: 2 (156 enodes) 1540202327.362 * * [misc]simplify: iters left: 1 (239 enodes) 1540202327.417 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202327.417 * [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)))))))) 1540202327.417 * * * * [misc]progress: [ 1353 / 6878 ] simplifiying candidate # 1540202327.417 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202327.418 * * [misc]simplify: iters left: 6 (11 enodes) 1540202327.419 * * [misc]simplify: iters left: 5 (20 enodes) 1540202327.423 * * [misc]simplify: iters left: 4 (37 enodes) 1540202327.427 * * [misc]simplify: iters left: 3 (44 enodes) 1540202327.431 * * [misc]simplify: iters left: 2 (53 enodes) 1540202327.437 * * [misc]simplify: iters left: 1 (63 enodes) 1540202327.444 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202327.444 * [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))))))) 1540202327.445 * [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))))) 1540202327.445 * * [misc]simplify: iters left: 6 (18 enodes) 1540202327.447 * * [misc]simplify: iters left: 5 (27 enodes) 1540202327.451 * * [misc]simplify: iters left: 4 (45 enodes) 1540202327.458 * * [misc]simplify: iters left: 3 (90 enodes) 1540202327.475 * * [misc]simplify: iters left: 2 (155 enodes) 1540202327.506 * * [misc]simplify: iters left: 1 (239 enodes) 1540202327.562 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540202327.562 * [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))))))) 1540202327.562 * * * * [misc]progress: [ 1354 / 6878 ] simplifiying candidate # 1540202327.562 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (pow 2 1/2))) 1540202327.562 * * [misc]simplify: iters left: 6 (14 enodes) 1540202327.565 * * [misc]simplify: iters left: 5 (24 enodes) 1540202327.569 * * [misc]simplify: iters left: 4 (44 enodes) 1540202327.576 * * [misc]simplify: iters left: 3 (75 enodes) 1540202327.591 * * [misc]simplify: iters left: 2 (117 enodes) 1540202327.623 * * [misc]simplify: iters left: 1 (180 enodes) 1540202327.671 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202327.671 * [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))))))) 1540202327.672 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202327.672 * * [misc]simplify: iters left: 6 (18 enodes) 1540202327.674 * * [misc]simplify: iters left: 5 (27 enodes) 1540202327.678 * * [misc]simplify: iters left: 4 (46 enodes) 1540202327.685 * * [misc]simplify: iters left: 3 (94 enodes) 1540202327.703 * * [misc]simplify: iters left: 2 (181 enodes) 1540202327.744 * * [misc]simplify: iters left: 1 (323 enodes) 1540202327.848 * [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)))) 1540202327.848 * [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)))))) 1540202327.848 * * * * [misc]progress: [ 1355 / 6878 ] simplifiying candidate # 1540202327.848 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (pow 2 1/2))) 1540202327.848 * * [misc]simplify: iters left: 6 (14 enodes) 1540202327.851 * * [misc]simplify: iters left: 5 (24 enodes) 1540202327.856 * * [misc]simplify: iters left: 4 (44 enodes) 1540202327.862 * * [misc]simplify: iters left: 3 (75 enodes) 1540202327.877 * * [misc]simplify: iters left: 2 (117 enodes) 1540202327.910 * * [misc]simplify: iters left: 1 (180 enodes) 1540202327.957 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202327.957 * [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))))))) 1540202327.957 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202327.958 * * [misc]simplify: iters left: 6 (18 enodes) 1540202327.960 * * [misc]simplify: iters left: 5 (27 enodes) 1540202327.964 * * [misc]simplify: iters left: 4 (46 enodes) 1540202327.971 * * [misc]simplify: iters left: 3 (94 enodes) 1540202327.988 * * [misc]simplify: iters left: 2 (181 enodes) 1540202328.029 * * [misc]simplify: iters left: 1 (323 enodes) 1540202328.132 * [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)))) 1540202328.132 * [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)))))) 1540202328.132 * * * * [misc]progress: [ 1356 / 6878 ] simplifiying candidate # 1540202328.132 * [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))))))) 1540202328.133 * * [misc]simplify: iters left: 6 (18 enodes) 1540202328.135 * * [misc]simplify: iters left: 5 (31 enodes) 1540202328.141 * * [misc]simplify: iters left: 4 (60 enodes) 1540202328.151 * * [misc]simplify: iters left: 3 (113 enodes) 1540202328.175 * * [misc]simplify: iters left: 2 (281 enodes) 1540202328.350 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202328.350 * [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)))))))) 1540202328.351 * [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)))))) 1540202328.351 * * [misc]simplify: iters left: 6 (19 enodes) 1540202328.353 * * [misc]simplify: iters left: 5 (28 enodes) 1540202328.357 * * [misc]simplify: iters left: 4 (47 enodes) 1540202328.365 * * [misc]simplify: iters left: 3 (95 enodes) 1540202328.384 * * [misc]simplify: iters left: 2 (182 enodes) 1540202328.422 * * [misc]simplify: iters left: 1 (317 enodes) 1540202328.522 * [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)))))) 1540202328.522 * [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)))))))) 1540202328.522 * * * * [misc]progress: [ 1357 / 6878 ] simplifiying candidate # 1540202328.522 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202328.522 * * [misc]simplify: iters left: 6 (17 enodes) 1540202328.525 * * [misc]simplify: iters left: 5 (28 enodes) 1540202328.530 * * [misc]simplify: iters left: 4 (51 enodes) 1540202328.537 * * [misc]simplify: iters left: 3 (80 enodes) 1540202328.553 * * [misc]simplify: iters left: 2 (147 enodes) 1540202328.602 * * [misc]simplify: iters left: 1 (283 enodes) 1540202328.694 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) 1540202328.694 * [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)))))))) 1540202328.694 * [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)))))) 1540202328.694 * * [misc]simplify: iters left: 6 (19 enodes) 1540202328.697 * * [misc]simplify: iters left: 5 (28 enodes) 1540202328.701 * * [misc]simplify: iters left: 4 (47 enodes) 1540202328.708 * * [misc]simplify: iters left: 3 (95 enodes) 1540202328.727 * * [misc]simplify: iters left: 2 (182 enodes) 1540202328.766 * * [misc]simplify: iters left: 1 (317 enodes) 1540202328.866 * [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)))))) 1540202328.866 * [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)))))))) 1540202328.866 * * * * [misc]progress: [ 1358 / 6878 ] simplifiying candidate # 1540202328.866 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 1)) 1540202328.866 * * [misc]simplify: iters left: 6 (12 enodes) 1540202328.868 * * [misc]simplify: iters left: 5 (19 enodes) 1540202328.871 * * [misc]simplify: iters left: 4 (30 enodes) 1540202328.875 * * [misc]simplify: iters left: 3 (34 enodes) 1540202328.878 * * [misc]simplify: iters left: 2 (41 enodes) 1540202328.883 * * [misc]simplify: iters left: 1 (51 enodes) 1540202328.891 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202328.891 * [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))))))) 1540202328.891 * [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))))) 1540202328.891 * * [misc]simplify: iters left: 6 (18 enodes) 1540202328.893 * * [misc]simplify: iters left: 5 (27 enodes) 1540202328.897 * * [misc]simplify: iters left: 4 (46 enodes) 1540202328.906 * * [misc]simplify: iters left: 3 (94 enodes) 1540202328.923 * * [misc]simplify: iters left: 2 (181 enodes) 1540202328.963 * * [misc]simplify: iters left: 1 (323 enodes) 1540202329.066 * [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)))) 1540202329.066 * [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)))))) 1540202329.066 * * * * [misc]progress: [ 1359 / 6878 ] simplifiying candidate # 1540202329.066 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1) 1540202329.066 * * [misc]simplify: iters left: 6 (11 enodes) 1540202329.068 * * [misc]simplify: iters left: 5 (18 enodes) 1540202329.071 * * [misc]simplify: iters left: 4 (34 enodes) 1540202329.077 * * [misc]simplify: iters left: 3 (41 enodes) 1540202329.082 * * [misc]simplify: iters left: 2 (54 enodes) 1540202329.089 * * [misc]simplify: iters left: 1 (66 enodes) 1540202329.098 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202329.099 * [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))))))) 1540202329.099 * [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))))) 1540202329.099 * * [misc]simplify: iters left: 6 (18 enodes) 1540202329.101 * * [misc]simplify: iters left: 5 (27 enodes) 1540202329.105 * * [misc]simplify: iters left: 4 (46 enodes) 1540202329.112 * * [misc]simplify: iters left: 3 (94 enodes) 1540202329.130 * * [misc]simplify: iters left: 2 (181 enodes) 1540202329.170 * * [misc]simplify: iters left: 1 (323 enodes) 1540202329.274 * [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)))) 1540202329.274 * [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)))))) 1540202329.274 * * * * [misc]progress: [ 1360 / 6878 ] simplifiying candidate # 1540202329.274 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (sqrt (sqrt k))) 1540202329.274 * * [misc]simplify: iters left: 6 (11 enodes) 1540202329.276 * * [misc]simplify: iters left: 5 (18 enodes) 1540202329.279 * * [misc]simplify: iters left: 4 (32 enodes) 1540202329.283 * * [misc]simplify: iters left: 3 (53 enodes) 1540202329.292 * * [misc]simplify: iters left: 2 (115 enodes) 1540202329.324 * * [misc]simplify: iters left: 1 (199 enodes) 1540202329.353 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202329.353 * [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))))))) 1540202329.353 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202329.353 * * [misc]simplify: iters left: 6 (19 enodes) 1540202329.356 * * [misc]simplify: iters left: 5 (30 enodes) 1540202329.360 * * [misc]simplify: iters left: 4 (47 enodes) 1540202329.368 * * [misc]simplify: iters left: 3 (99 enodes) 1540202329.388 * * [misc]simplify: iters left: 2 (207 enodes) 1540202329.452 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202329.452 * [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))))))) 1540202329.452 * * * * [misc]progress: [ 1361 / 6878 ] simplifiying candidate # 1540202329.452 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202329.452 * * [misc]simplify: iters left: 6 (14 enodes) 1540202329.455 * * [misc]simplify: iters left: 5 (24 enodes) 1540202329.459 * * [misc]simplify: iters left: 4 (46 enodes) 1540202329.466 * * [misc]simplify: iters left: 3 (100 enodes) 1540202329.489 * * [misc]simplify: iters left: 2 (216 enodes) 1540202329.567 * * [misc]simplify: iters left: 1 (375 enodes) 1540202329.660 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202329.660 * [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))))) 1540202329.660 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540202329.660 * * [misc]simplify: iters left: 6 (17 enodes) 1540202329.663 * * [misc]simplify: iters left: 5 (24 enodes) 1540202329.666 * * [misc]simplify: iters left: 4 (35 enodes) 1540202329.671 * * [misc]simplify: iters left: 3 (50 enodes) 1540202329.677 * * [misc]simplify: iters left: 2 (67 enodes) 1540202329.688 * * [misc]simplify: iters left: 1 (84 enodes) 1540202329.700 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540202329.700 * [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))))))) 1540202329.700 * * * * [misc]progress: [ 1362 / 6878 ] simplifiying candidate # 1540202329.700 * [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))))))) 1540202329.700 * * [misc]simplify: iters left: 6 (19 enodes) 1540202329.703 * * [misc]simplify: iters left: 5 (31 enodes) 1540202329.707 * * [misc]simplify: iters left: 4 (51 enodes) 1540202329.715 * * [misc]simplify: iters left: 3 (94 enodes) 1540202329.730 * * [misc]simplify: iters left: 2 (154 enodes) 1540202329.764 * * [misc]simplify: iters left: 1 (270 enodes) 1540202329.816 * [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))) 1540202329.816 * [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)))))))) 1540202329.816 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202329.816 * * [misc]simplify: iters left: 6 (18 enodes) 1540202329.819 * * [misc]simplify: iters left: 5 (25 enodes) 1540202329.822 * * [misc]simplify: iters left: 4 (36 enodes) 1540202329.827 * * [misc]simplify: iters left: 3 (51 enodes) 1540202329.834 * * [misc]simplify: iters left: 2 (68 enodes) 1540202329.843 * * [misc]simplify: iters left: 1 (85 enodes) 1540202329.855 * [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)))))) 1540202329.855 * [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)))))))) 1540202329.855 * * * * [misc]progress: [ 1363 / 6878 ] simplifiying candidate # 1540202329.855 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202329.855 * * [misc]simplify: iters left: 6 (18 enodes) 1540202329.858 * * [misc]simplify: iters left: 5 (28 enodes) 1540202329.861 * * [misc]simplify: iters left: 4 (40 enodes) 1540202329.867 * * [misc]simplify: iters left: 3 (70 enodes) 1540202329.877 * * [misc]simplify: iters left: 2 (86 enodes) 1540202329.888 * * [misc]simplify: iters left: 1 (97 enodes) 1540202329.899 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202329.899 * [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)))))))) 1540202329.899 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202329.899 * * [misc]simplify: iters left: 6 (18 enodes) 1540202329.902 * * [misc]simplify: iters left: 5 (25 enodes) 1540202329.905 * * [misc]simplify: iters left: 4 (36 enodes) 1540202329.910 * * [misc]simplify: iters left: 3 (51 enodes) 1540202329.916 * * [misc]simplify: iters left: 2 (68 enodes) 1540202329.926 * * [misc]simplify: iters left: 1 (85 enodes) 1540202329.937 * [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)))))) 1540202329.937 * [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)))))))) 1540202329.937 * * * * [misc]progress: [ 1364 / 6878 ] simplifiying candidate # 1540202329.938 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202329.938 * * [misc]simplify: iters left: 6 (17 enodes) 1540202329.941 * * [misc]simplify: iters left: 5 (30 enodes) 1540202329.946 * * [misc]simplify: iters left: 4 (57 enodes) 1540202329.958 * * [misc]simplify: iters left: 3 (156 enodes) 1540202329.996 * * [misc]simplify: iters left: 2 (437 enodes) 1540202330.304 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202330.304 * [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))))))) 1540202330.304 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202330.304 * * [misc]simplify: iters left: 6 (16 enodes) 1540202330.306 * * [misc]simplify: iters left: 5 (24 enodes) 1540202330.310 * * [misc]simplify: iters left: 4 (42 enodes) 1540202330.316 * * [misc]simplify: iters left: 3 (90 enodes) 1540202330.332 * * [misc]simplify: iters left: 2 (177 enodes) 1540202330.372 * * [misc]simplify: iters left: 1 (312 enodes) 1540202330.471 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540202330.471 * [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)))))) 1540202330.471 * * * * [misc]progress: [ 1365 / 6878 ] simplifiying candidate # 1540202330.471 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202330.472 * * [misc]simplify: iters left: 6 (17 enodes) 1540202330.475 * * [misc]simplify: iters left: 5 (30 enodes) 1540202330.479 * * [misc]simplify: iters left: 4 (57 enodes) 1540202330.491 * * [misc]simplify: iters left: 3 (156 enodes) 1540202330.529 * * [misc]simplify: iters left: 2 (437 enodes) 1540202330.834 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202330.834 * [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))))))) 1540202330.834 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202330.835 * * [misc]simplify: iters left: 6 (16 enodes) 1540202330.837 * * [misc]simplify: iters left: 5 (24 enodes) 1540202330.840 * * [misc]simplify: iters left: 4 (42 enodes) 1540202330.847 * * [misc]simplify: iters left: 3 (90 enodes) 1540202330.864 * * [misc]simplify: iters left: 2 (177 enodes) 1540202330.904 * * [misc]simplify: iters left: 1 (312 enodes) 1540202331.003 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540202331.003 * [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)))))) 1540202331.003 * * * * [misc]progress: [ 1366 / 6878 ] simplifiying candidate # 1540202331.004 * [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))))))) 1540202331.004 * * [misc]simplify: iters left: 6 (21 enodes) 1540202331.007 * * [misc]simplify: iters left: 5 (39 enodes) 1540202331.013 * * [misc]simplify: iters left: 4 (89 enodes) 1540202331.033 * * [misc]simplify: iters left: 3 (257 enodes) 1540202331.120 * [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)))))) 1540202331.120 * [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)))))))) 1540202331.120 * [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)))))) 1540202331.120 * * [misc]simplify: iters left: 6 (19 enodes) 1540202331.123 * * [misc]simplify: iters left: 5 (28 enodes) 1540202331.127 * * [misc]simplify: iters left: 4 (47 enodes) 1540202331.134 * * [misc]simplify: iters left: 3 (95 enodes) 1540202331.152 * * [misc]simplify: iters left: 2 (182 enodes) 1540202331.192 * * [misc]simplify: iters left: 1 (321 enodes) 1540202331.292 * [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)))))) 1540202331.292 * [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)))))))) 1540202331.293 * * * * [misc]progress: [ 1367 / 6878 ] simplifiying candidate # 1540202331.293 * [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)))))) 1540202331.293 * * [misc]simplify: iters left: 6 (20 enodes) 1540202331.296 * * [misc]simplify: iters left: 5 (34 enodes) 1540202331.301 * * [misc]simplify: iters left: 4 (64 enodes) 1540202331.313 * * [misc]simplify: iters left: 3 (163 enodes) 1540202331.352 * * [misc]simplify: iters left: 2 (446 enodes) 1540202331.627 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540202331.627 * [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)))))))) 1540202331.629 * [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)))))) 1540202331.629 * * [misc]simplify: iters left: 6 (19 enodes) 1540202331.631 * * [misc]simplify: iters left: 5 (28 enodes) 1540202331.635 * * [misc]simplify: iters left: 4 (47 enodes) 1540202331.645 * * [misc]simplify: iters left: 3 (95 enodes) 1540202331.661 * * [misc]simplify: iters left: 2 (182 enodes) 1540202331.701 * * [misc]simplify: iters left: 1 (321 enodes) 1540202331.799 * [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)))))) 1540202331.799 * [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)))))))) 1540202331.799 * * * * [misc]progress: [ 1368 / 6878 ] simplifiying candidate # 1540202331.799 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202331.799 * * [misc]simplify: iters left: 6 (15 enodes) 1540202331.801 * * [misc]simplify: iters left: 5 (27 enodes) 1540202331.806 * * [misc]simplify: iters left: 4 (55 enodes) 1540202331.817 * * [misc]simplify: iters left: 3 (127 enodes) 1540202331.853 * * [misc]simplify: iters left: 2 (344 enodes) 1540202332.003 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt n))) 1540202332.003 * [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))))))) 1540202332.004 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202332.004 * * [misc]simplify: iters left: 6 (18 enodes) 1540202332.006 * * [misc]simplify: iters left: 5 (27 enodes) 1540202332.010 * * [misc]simplify: iters left: 4 (46 enodes) 1540202332.017 * * [misc]simplify: iters left: 3 (94 enodes) 1540202332.034 * * [misc]simplify: iters left: 2 (181 enodes) 1540202332.074 * * [misc]simplify: iters left: 1 (325 enodes) 1540202332.179 * [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))))) 1540202332.179 * [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))))))) 1540202332.179 * * * * [misc]progress: [ 1369 / 6878 ] simplifiying candidate # 1540202332.179 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202332.180 * * [misc]simplify: iters left: 6 (17 enodes) 1540202332.183 * * [misc]simplify: iters left: 5 (29 enodes) 1540202332.187 * * [misc]simplify: iters left: 4 (46 enodes) 1540202332.194 * * [misc]simplify: iters left: 3 (97 enodes) 1540202332.212 * * [misc]simplify: iters left: 2 (166 enodes) 1540202332.249 * * [misc]simplify: iters left: 1 (280 enodes) 1540202332.326 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202332.326 * [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))))))) 1540202332.326 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202332.326 * * [misc]simplify: iters left: 6 (17 enodes) 1540202332.329 * * [misc]simplify: iters left: 5 (25 enodes) 1540202332.332 * * [misc]simplify: iters left: 4 (43 enodes) 1540202332.339 * * [misc]simplify: iters left: 3 (91 enodes) 1540202332.357 * * [misc]simplify: iters left: 2 (178 enodes) 1540202332.394 * * [misc]simplify: iters left: 1 (316 enodes) 1540202332.509 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540202332.509 * [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))))) 1540202332.510 * * * * [misc]progress: [ 1370 / 6878 ] simplifiying candidate # 1540202332.510 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202332.510 * * [misc]simplify: iters left: 6 (17 enodes) 1540202332.513 * * [misc]simplify: iters left: 5 (29 enodes) 1540202332.517 * * [misc]simplify: iters left: 4 (46 enodes) 1540202332.525 * * [misc]simplify: iters left: 3 (97 enodes) 1540202332.545 * * [misc]simplify: iters left: 2 (166 enodes) 1540202332.581 * * [misc]simplify: iters left: 1 (280 enodes) 1540202332.660 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202332.660 * [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))))))) 1540202332.660 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202332.661 * * [misc]simplify: iters left: 6 (17 enodes) 1540202332.663 * * [misc]simplify: iters left: 5 (25 enodes) 1540202332.666 * * [misc]simplify: iters left: 4 (43 enodes) 1540202332.673 * * [misc]simplify: iters left: 3 (91 enodes) 1540202332.690 * * [misc]simplify: iters left: 2 (178 enodes) 1540202332.730 * * [misc]simplify: iters left: 1 (316 enodes) 1540202332.832 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540202332.832 * [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))))) 1540202332.832 * * * * [misc]progress: [ 1371 / 6878 ] simplifiying candidate # 1540202332.832 * [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))))))) 1540202332.832 * * [misc]simplify: iters left: 6 (21 enodes) 1540202332.835 * * [misc]simplify: iters left: 5 (36 enodes) 1540202332.840 * * [misc]simplify: iters left: 4 (62 enodes) 1540202332.851 * * [misc]simplify: iters left: 3 (136 enodes) 1540202332.879 * * [misc]simplify: iters left: 2 (287 enodes) 1540202332.979 * [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)))) 1540202332.979 * [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)))))))) 1540202332.980 * [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)))))) 1540202332.980 * * [misc]simplify: iters left: 6 (20 enodes) 1540202332.982 * * [misc]simplify: iters left: 5 (29 enodes) 1540202332.987 * * [misc]simplify: iters left: 4 (48 enodes) 1540202332.994 * * [misc]simplify: iters left: 3 (96 enodes) 1540202333.011 * * [misc]simplify: iters left: 2 (183 enodes) 1540202333.052 * * [misc]simplify: iters left: 1 (326 enodes) 1540202333.157 * [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)))) 1540202333.158 * [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)))))) 1540202333.158 * * * * [misc]progress: [ 1372 / 6878 ] simplifiying candidate # 1540202333.158 * [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)))))) 1540202333.158 * * [misc]simplify: iters left: 6 (20 enodes) 1540202333.161 * * [misc]simplify: iters left: 5 (33 enodes) 1540202333.165 * * [misc]simplify: iters left: 4 (53 enodes) 1540202333.174 * * [misc]simplify: iters left: 3 (104 enodes) 1540202333.192 * * [misc]simplify: iters left: 2 (177 enodes) 1540202333.230 * * [misc]simplify: iters left: 1 (309 enodes) 1540202333.326 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) 1540202333.326 * [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)))))))) 1540202333.327 * [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)))))) 1540202333.327 * * [misc]simplify: iters left: 6 (20 enodes) 1540202333.330 * * [misc]simplify: iters left: 5 (29 enodes) 1540202333.334 * * [misc]simplify: iters left: 4 (48 enodes) 1540202333.341 * * [misc]simplify: iters left: 3 (96 enodes) 1540202333.358 * * [misc]simplify: iters left: 2 (183 enodes) 1540202333.399 * * [misc]simplify: iters left: 1 (326 enodes) 1540202333.505 * [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)))) 1540202333.505 * [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)))))) 1540202333.505 * * * * [misc]progress: [ 1373 / 6878 ] simplifiying candidate # 1540202333.505 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202333.505 * * [misc]simplify: iters left: 6 (15 enodes) 1540202333.507 * * [misc]simplify: iters left: 5 (25 enodes) 1540202333.511 * * [misc]simplify: iters left: 4 (39 enodes) 1540202333.517 * * [misc]simplify: iters left: 3 (71 enodes) 1540202333.535 * * [misc]simplify: iters left: 2 (137 enodes) 1540202333.574 * * [misc]simplify: iters left: 1 (209 enodes) 1540202333.626 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202333.626 * [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))))))) 1540202333.626 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202333.626 * * [misc]simplify: iters left: 6 (19 enodes) 1540202333.629 * * [misc]simplify: iters left: 5 (28 enodes) 1540202333.633 * * [misc]simplify: iters left: 4 (47 enodes) 1540202333.640 * * [misc]simplify: iters left: 3 (95 enodes) 1540202333.658 * * [misc]simplify: iters left: 2 (182 enodes) 1540202333.698 * * [misc]simplify: iters left: 1 (320 enodes) 1540202333.798 * [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))))) 1540202333.798 * [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))))))) 1540202333.798 * * * * [misc]progress: [ 1374 / 6878 ] simplifiying candidate # 1540202333.799 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202333.799 * * [misc]simplify: iters left: 6 (16 enodes) 1540202333.802 * * [misc]simplify: iters left: 5 (27 enodes) 1540202333.806 * * [misc]simplify: iters left: 4 (44 enodes) 1540202333.814 * * [misc]simplify: iters left: 3 (95 enodes) 1540202333.832 * * [misc]simplify: iters left: 2 (186 enodes) 1540202333.886 * * [misc]simplify: iters left: 1 (396 enodes) 1540202334.074 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202334.074 * [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))))))) 1540202334.075 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202334.075 * * [misc]simplify: iters left: 6 (16 enodes) 1540202334.077 * * [misc]simplify: iters left: 5 (24 enodes) 1540202334.082 * * [misc]simplify: iters left: 4 (42 enodes) 1540202334.089 * * [misc]simplify: iters left: 3 (90 enodes) 1540202334.106 * * [misc]simplify: iters left: 2 (177 enodes) 1540202334.145 * * [misc]simplify: iters left: 1 (312 enodes) 1540202334.242 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202334.242 * [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)))))) 1540202334.242 * * * * [misc]progress: [ 1375 / 6878 ] simplifiying candidate # 1540202334.243 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202334.243 * * [misc]simplify: iters left: 6 (16 enodes) 1540202334.246 * * [misc]simplify: iters left: 5 (27 enodes) 1540202334.250 * * [misc]simplify: iters left: 4 (44 enodes) 1540202334.259 * * [misc]simplify: iters left: 3 (95 enodes) 1540202334.277 * * [misc]simplify: iters left: 2 (186 enodes) 1540202334.331 * * [misc]simplify: iters left: 1 (396 enodes) 1540202334.519 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202334.519 * [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))))))) 1540202334.519 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202334.519 * * [misc]simplify: iters left: 6 (16 enodes) 1540202334.521 * * [misc]simplify: iters left: 5 (24 enodes) 1540202334.525 * * [misc]simplify: iters left: 4 (42 enodes) 1540202334.531 * * [misc]simplify: iters left: 3 (90 enodes) 1540202334.550 * * [misc]simplify: iters left: 2 (177 enodes) 1540202334.587 * * [misc]simplify: iters left: 1 (312 enodes) 1540202334.687 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202334.687 * [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)))))) 1540202334.687 * * * * [misc]progress: [ 1376 / 6878 ] simplifiying candidate # 1540202334.687 * [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))))))) 1540202334.687 * * [misc]simplify: iters left: 6 (20 enodes) 1540202334.690 * * [misc]simplify: iters left: 5 (34 enodes) 1540202334.695 * * [misc]simplify: iters left: 4 (60 enodes) 1540202334.705 * * [misc]simplify: iters left: 3 (134 enodes) 1540202334.736 * * [misc]simplify: iters left: 2 (324 enodes) 1540202334.871 * [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)))) 1540202334.871 * [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)))))))) 1540202334.871 * [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)))))) 1540202334.871 * * [misc]simplify: iters left: 6 (19 enodes) 1540202334.874 * * [misc]simplify: iters left: 5 (28 enodes) 1540202334.878 * * [misc]simplify: iters left: 4 (47 enodes) 1540202334.885 * * [misc]simplify: iters left: 3 (95 enodes) 1540202334.903 * * [misc]simplify: iters left: 2 (182 enodes) 1540202334.943 * * [misc]simplify: iters left: 1 (321 enodes) 1540202335.044 * [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)))))) 1540202335.044 * [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)))))))) 1540202335.044 * * * * [misc]progress: [ 1377 / 6878 ] simplifiying candidate # 1540202335.045 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202335.045 * * [misc]simplify: iters left: 6 (19 enodes) 1540202335.047 * * [misc]simplify: iters left: 5 (31 enodes) 1540202335.052 * * [misc]simplify: iters left: 4 (51 enodes) 1540202335.060 * * [misc]simplify: iters left: 3 (102 enodes) 1540202335.078 * * [misc]simplify: iters left: 2 (193 enodes) 1540202335.124 * * [misc]simplify: iters left: 1 (440 enodes) 1540202335.349 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202335.349 * [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)))))))) 1540202335.350 * [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)))))) 1540202335.350 * * [misc]simplify: iters left: 6 (19 enodes) 1540202335.352 * * [misc]simplify: iters left: 5 (28 enodes) 1540202335.358 * * [misc]simplify: iters left: 4 (47 enodes) 1540202335.365 * * [misc]simplify: iters left: 3 (95 enodes) 1540202335.383 * * [misc]simplify: iters left: 2 (182 enodes) 1540202335.423 * * [misc]simplify: iters left: 1 (321 enodes) 1540202335.523 * [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)))))) 1540202335.523 * [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)))))))) 1540202335.524 * * * * [misc]progress: [ 1378 / 6878 ] simplifiying candidate # 1540202335.524 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202335.524 * * [misc]simplify: iters left: 6 (14 enodes) 1540202335.526 * * [misc]simplify: iters left: 5 (24 enodes) 1540202335.530 * * [misc]simplify: iters left: 4 (44 enodes) 1540202335.538 * * [misc]simplify: iters left: 3 (67 enodes) 1540202335.549 * * [misc]simplify: iters left: 2 (108 enodes) 1540202335.572 * * [misc]simplify: iters left: 1 (162 enodes) 1540202335.618 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202335.618 * [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))))))) 1540202335.619 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202335.619 * * [misc]simplify: iters left: 6 (18 enodes) 1540202335.621 * * [misc]simplify: iters left: 5 (27 enodes) 1540202335.625 * * [misc]simplify: iters left: 4 (46 enodes) 1540202335.632 * * [misc]simplify: iters left: 3 (94 enodes) 1540202335.650 * * [misc]simplify: iters left: 2 (181 enodes) 1540202335.690 * * [misc]simplify: iters left: 1 (325 enodes) 1540202335.796 * [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))))) 1540202335.796 * [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))))))) 1540202335.796 * * * * [misc]progress: [ 1379 / 6878 ] simplifiying candidate # 1540202335.796 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202335.796 * * [misc]simplify: iters left: 6 (13 enodes) 1540202335.799 * * [misc]simplify: iters left: 5 (24 enodes) 1540202335.803 * * [misc]simplify: iters left: 4 (34 enodes) 1540202335.809 * * [misc]simplify: iters left: 3 (77 enodes) 1540202335.822 * * [misc]simplify: iters left: 2 (105 enodes) 1540202335.839 * * [misc]simplify: iters left: 1 (122 enodes) 1540202335.854 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt n)) 1540202335.854 * [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))))))) 1540202335.854 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202335.854 * * [misc]simplify: iters left: 6 (15 enodes) 1540202335.857 * * [misc]simplify: iters left: 5 (23 enodes) 1540202335.860 * * [misc]simplify: iters left: 4 (40 enodes) 1540202335.866 * * [misc]simplify: iters left: 3 (85 enodes) 1540202335.882 * * [misc]simplify: iters left: 2 (150 enodes) 1540202335.914 * * [misc]simplify: iters left: 1 (234 enodes) 1540202335.967 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202335.967 * [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))))) 1540202335.967 * * * * [misc]progress: [ 1380 / 6878 ] simplifiying candidate # 1540202335.968 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202335.968 * * [misc]simplify: iters left: 6 (13 enodes) 1540202335.971 * * [misc]simplify: iters left: 5 (24 enodes) 1540202335.974 * * [misc]simplify: iters left: 4 (34 enodes) 1540202335.981 * * [misc]simplify: iters left: 3 (77 enodes) 1540202335.994 * * [misc]simplify: iters left: 2 (105 enodes) 1540202336.008 * * [misc]simplify: iters left: 1 (122 enodes) 1540202336.024 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt n)) 1540202336.024 * [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))))))) 1540202336.024 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202336.024 * * [misc]simplify: iters left: 6 (15 enodes) 1540202336.026 * * [misc]simplify: iters left: 5 (23 enodes) 1540202336.030 * * [misc]simplify: iters left: 4 (40 enodes) 1540202336.037 * * [misc]simplify: iters left: 3 (85 enodes) 1540202336.052 * * [misc]simplify: iters left: 2 (150 enodes) 1540202336.083 * * [misc]simplify: iters left: 1 (234 enodes) 1540202336.136 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202336.136 * [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))))) 1540202336.136 * * * * [misc]progress: [ 1381 / 6878 ] simplifiying candidate # 1540202336.137 * [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))))))) 1540202336.137 * * [misc]simplify: iters left: 6 (18 enodes) 1540202336.140 * * [misc]simplify: iters left: 5 (32 enodes) 1540202336.144 * * [misc]simplify: iters left: 4 (52 enodes) 1540202336.155 * * [misc]simplify: iters left: 3 (115 enodes) 1540202336.180 * * [misc]simplify: iters left: 2 (256 enodes) 1540202336.255 * * [misc]simplify: iters left: 1 (445 enodes) 1540202336.437 * [exit]simplify: Simplified to (* (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202336.438 * [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)))))))) 1540202336.438 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202336.438 * * [misc]simplify: iters left: 6 (18 enodes) 1540202336.440 * * [misc]simplify: iters left: 5 (27 enodes) 1540202336.446 * * [misc]simplify: iters left: 4 (45 enodes) 1540202336.453 * * [misc]simplify: iters left: 3 (90 enodes) 1540202336.469 * * [misc]simplify: iters left: 2 (155 enodes) 1540202336.500 * * [misc]simplify: iters left: 1 (235 enodes) 1540202336.552 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202336.552 * [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))))) 1540202336.552 * * * * [misc]progress: [ 1382 / 6878 ] simplifiying candidate # 1540202336.553 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202336.553 * * [misc]simplify: iters left: 6 (17 enodes) 1540202336.556 * * [misc]simplify: iters left: 5 (29 enodes) 1540202336.559 * * [misc]simplify: iters left: 4 (42 enodes) 1540202336.566 * * [misc]simplify: iters left: 3 (85 enodes) 1540202336.581 * * [misc]simplify: iters left: 2 (112 enodes) 1540202336.595 * * [misc]simplify: iters left: 1 (138 enodes) 1540202336.614 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202336.614 * [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)))))))) 1540202336.615 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202336.615 * * [misc]simplify: iters left: 6 (18 enodes) 1540202336.617 * * [misc]simplify: iters left: 5 (27 enodes) 1540202336.621 * * [misc]simplify: iters left: 4 (45 enodes) 1540202336.628 * * [misc]simplify: iters left: 3 (90 enodes) 1540202336.645 * * [misc]simplify: iters left: 2 (155 enodes) 1540202336.676 * * [misc]simplify: iters left: 1 (235 enodes) 1540202336.729 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202336.729 * [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))))) 1540202336.729 * * * * [misc]progress: [ 1383 / 6878 ] simplifiying candidate # 1540202336.729 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) 1)) 1540202336.729 * * [misc]simplify: iters left: 6 (11 enodes) 1540202336.732 * * [misc]simplify: iters left: 5 (21 enodes) 1540202336.734 * * [misc]simplify: iters left: 4 (26 enodes) 1540202336.737 * * [misc]simplify: iters left: 3 (30 enodes) 1540202336.740 * * [misc]simplify: iters left: 2 (38 enodes) 1540202336.745 * * [misc]simplify: iters left: 1 (47 enodes) 1540202336.752 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540202336.752 * [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))))))) 1540202336.752 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202336.752 * * [misc]simplify: iters left: 6 (17 enodes) 1540202336.755 * * [misc]simplify: iters left: 5 (26 enodes) 1540202336.760 * * [misc]simplify: iters left: 4 (44 enodes) 1540202336.767 * * [misc]simplify: iters left: 3 (89 enodes) 1540202336.782 * * [misc]simplify: iters left: 2 (154 enodes) 1540202336.813 * * [misc]simplify: iters left: 1 (234 enodes) 1540202336.866 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202336.866 * [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)))))) 1540202336.866 * * * * [misc]progress: [ 1384 / 6878 ] simplifiying candidate # 1540202336.866 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202336.866 * * [misc]simplify: iters left: 6 (16 enodes) 1540202336.869 * * [misc]simplify: iters left: 5 (27 enodes) 1540202336.873 * * [misc]simplify: iters left: 4 (44 enodes) 1540202336.881 * * [misc]simplify: iters left: 3 (95 enodes) 1540202336.900 * * [misc]simplify: iters left: 2 (186 enodes) 1540202336.954 * * [misc]simplify: iters left: 1 (396 enodes) 1540202337.141 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202337.141 * [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))))))) 1540202337.142 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202337.142 * * [misc]simplify: iters left: 6 (16 enodes) 1540202337.144 * * [misc]simplify: iters left: 5 (24 enodes) 1540202337.148 * * [misc]simplify: iters left: 4 (42 enodes) 1540202337.154 * * [misc]simplify: iters left: 3 (90 enodes) 1540202337.173 * * [misc]simplify: iters left: 2 (177 enodes) 1540202337.211 * * [misc]simplify: iters left: 1 (312 enodes) 1540202337.310 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202337.310 * [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)))))) 1540202337.310 * * * * [misc]progress: [ 1385 / 6878 ] simplifiying candidate # 1540202337.310 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202337.311 * * [misc]simplify: iters left: 6 (16 enodes) 1540202337.314 * * [misc]simplify: iters left: 5 (27 enodes) 1540202337.318 * * [misc]simplify: iters left: 4 (44 enodes) 1540202337.325 * * [misc]simplify: iters left: 3 (95 enodes) 1540202337.343 * * [misc]simplify: iters left: 2 (186 enodes) 1540202337.397 * * [misc]simplify: iters left: 1 (396 enodes) 1540202337.585 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202337.586 * [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))))))) 1540202337.586 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202337.586 * * [misc]simplify: iters left: 6 (16 enodes) 1540202337.588 * * [misc]simplify: iters left: 5 (24 enodes) 1540202337.592 * * [misc]simplify: iters left: 4 (42 enodes) 1540202337.598 * * [misc]simplify: iters left: 3 (90 enodes) 1540202337.615 * * [misc]simplify: iters left: 2 (177 enodes) 1540202337.655 * * [misc]simplify: iters left: 1 (312 enodes) 1540202337.755 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202337.755 * [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)))))) 1540202337.755 * * * * [misc]progress: [ 1386 / 6878 ] simplifiying candidate # 1540202337.755 * [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))))))) 1540202337.756 * * [misc]simplify: iters left: 6 (20 enodes) 1540202337.759 * * [misc]simplify: iters left: 5 (34 enodes) 1540202337.763 * * [misc]simplify: iters left: 4 (60 enodes) 1540202337.774 * * [misc]simplify: iters left: 3 (134 enodes) 1540202337.802 * * [misc]simplify: iters left: 2 (324 enodes) 1540202337.938 * [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)))) 1540202337.938 * [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)))))))) 1540202337.938 * [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)))))) 1540202337.938 * * [misc]simplify: iters left: 6 (19 enodes) 1540202337.941 * * [misc]simplify: iters left: 5 (28 enodes) 1540202337.945 * * [misc]simplify: iters left: 4 (47 enodes) 1540202337.952 * * [misc]simplify: iters left: 3 (95 enodes) 1540202337.970 * * [misc]simplify: iters left: 2 (182 enodes) 1540202338.010 * * [misc]simplify: iters left: 1 (321 enodes) 1540202338.110 * [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)))))) 1540202338.110 * [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)))))))) 1540202338.111 * * * * [misc]progress: [ 1387 / 6878 ] simplifiying candidate # 1540202338.111 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202338.111 * * [misc]simplify: iters left: 6 (19 enodes) 1540202338.114 * * [misc]simplify: iters left: 5 (31 enodes) 1540202338.118 * * [misc]simplify: iters left: 4 (51 enodes) 1540202338.126 * * [misc]simplify: iters left: 3 (102 enodes) 1540202338.144 * * [misc]simplify: iters left: 2 (193 enodes) 1540202338.190 * * [misc]simplify: iters left: 1 (440 enodes) 1540202338.416 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202338.416 * [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)))))))) 1540202338.416 * [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)))))) 1540202338.416 * * [misc]simplify: iters left: 6 (19 enodes) 1540202338.419 * * [misc]simplify: iters left: 5 (28 enodes) 1540202338.423 * * [misc]simplify: iters left: 4 (47 enodes) 1540202338.430 * * [misc]simplify: iters left: 3 (95 enodes) 1540202338.450 * * [misc]simplify: iters left: 2 (182 enodes) 1540202338.489 * * [misc]simplify: iters left: 1 (321 enodes) 1540202338.590 * [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)))))) 1540202338.590 * [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)))))))) 1540202338.590 * * * * [misc]progress: [ 1388 / 6878 ] simplifiying candidate # 1540202338.591 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202338.591 * * [misc]simplify: iters left: 6 (14 enodes) 1540202338.593 * * [misc]simplify: iters left: 5 (24 enodes) 1540202338.597 * * [misc]simplify: iters left: 4 (44 enodes) 1540202338.603 * * [misc]simplify: iters left: 3 (67 enodes) 1540202338.614 * * [misc]simplify: iters left: 2 (108 enodes) 1540202338.639 * * [misc]simplify: iters left: 1 (162 enodes) 1540202338.685 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202338.685 * [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))))))) 1540202338.685 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202338.685 * * [misc]simplify: iters left: 6 (18 enodes) 1540202338.687 * * [misc]simplify: iters left: 5 (27 enodes) 1540202338.691 * * [misc]simplify: iters left: 4 (46 enodes) 1540202338.698 * * [misc]simplify: iters left: 3 (94 enodes) 1540202338.716 * * [misc]simplify: iters left: 2 (181 enodes) 1540202338.756 * * [misc]simplify: iters left: 1 (325 enodes) 1540202338.861 * [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))))) 1540202338.861 * [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))))))) 1540202338.861 * * * * [misc]progress: [ 1389 / 6878 ] simplifiying candidate # 1540202338.862 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202338.862 * * [misc]simplify: iters left: 6 (12 enodes) 1540202338.864 * * [misc]simplify: iters left: 5 (23 enodes) 1540202338.867 * * [misc]simplify: iters left: 4 (32 enodes) 1540202338.873 * * [misc]simplify: iters left: 3 (62 enodes) 1540202338.882 * * [misc]simplify: iters left: 2 (80 enodes) 1540202338.894 * * [misc]simplify: iters left: 1 (99 enodes) 1540202338.907 * [exit]simplify: Simplified to (* (sqrt 2) (* (sqrt PI) (sqrt n))) 1540202338.907 * [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))))))) 1540202338.907 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202338.907 * * [misc]simplify: iters left: 6 (15 enodes) 1540202338.909 * * [misc]simplify: iters left: 5 (23 enodes) 1540202338.912 * * [misc]simplify: iters left: 4 (40 enodes) 1540202338.918 * * [misc]simplify: iters left: 3 (85 enodes) 1540202338.934 * * [misc]simplify: iters left: 2 (150 enodes) 1540202338.965 * * [misc]simplify: iters left: 1 (234 enodes) 1540202339.017 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202339.017 * [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))))) 1540202339.018 * * * * [misc]progress: [ 1390 / 6878 ] simplifiying candidate # 1540202339.018 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202339.018 * * [misc]simplify: iters left: 6 (12 enodes) 1540202339.020 * * [misc]simplify: iters left: 5 (23 enodes) 1540202339.024 * * [misc]simplify: iters left: 4 (32 enodes) 1540202339.029 * * [misc]simplify: iters left: 3 (62 enodes) 1540202339.039 * * [misc]simplify: iters left: 2 (80 enodes) 1540202339.052 * * [misc]simplify: iters left: 1 (99 enodes) 1540202339.064 * [exit]simplify: Simplified to (* (sqrt 2) (* (sqrt PI) (sqrt n))) 1540202339.064 * [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))))))) 1540202339.064 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202339.064 * * [misc]simplify: iters left: 6 (15 enodes) 1540202339.066 * * [misc]simplify: iters left: 5 (23 enodes) 1540202339.070 * * [misc]simplify: iters left: 4 (40 enodes) 1540202339.076 * * [misc]simplify: iters left: 3 (85 enodes) 1540202339.091 * * [misc]simplify: iters left: 2 (150 enodes) 1540202339.123 * * [misc]simplify: iters left: 1 (234 enodes) 1540202339.175 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202339.175 * [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))))) 1540202339.175 * * * * [misc]progress: [ 1391 / 6878 ] simplifiying candidate # 1540202339.176 * [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))))))) 1540202339.176 * * [misc]simplify: iters left: 6 (17 enodes) 1540202339.178 * * [misc]simplify: iters left: 5 (31 enodes) 1540202339.182 * * [misc]simplify: iters left: 4 (49 enodes) 1540202339.190 * * [misc]simplify: iters left: 3 (100 enodes) 1540202339.209 * * [misc]simplify: iters left: 2 (178 enodes) 1540202339.252 * * [misc]simplify: iters left: 1 (289 enodes) 1540202339.364 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (sqrt n))) 1540202339.364 * [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)))))))) 1540202339.364 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202339.364 * * [misc]simplify: iters left: 6 (18 enodes) 1540202339.367 * * [misc]simplify: iters left: 5 (27 enodes) 1540202339.370 * * [misc]simplify: iters left: 4 (45 enodes) 1540202339.377 * * [misc]simplify: iters left: 3 (90 enodes) 1540202339.393 * * [misc]simplify: iters left: 2 (155 enodes) 1540202339.425 * * [misc]simplify: iters left: 1 (235 enodes) 1540202339.476 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202339.476 * [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))))) 1540202339.476 * * * * [misc]progress: [ 1392 / 6878 ] simplifiying candidate # 1540202339.477 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202339.477 * * [misc]simplify: iters left: 6 (16 enodes) 1540202339.479 * * [misc]simplify: iters left: 5 (28 enodes) 1540202339.483 * * [misc]simplify: iters left: 4 (40 enodes) 1540202339.489 * * [misc]simplify: iters left: 3 (70 enodes) 1540202339.499 * * [misc]simplify: iters left: 2 (88 enodes) 1540202339.510 * * [misc]simplify: iters left: 1 (109 enodes) 1540202339.526 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt n))) 1540202339.526 * [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)))))))) 1540202339.526 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202339.527 * * [misc]simplify: iters left: 6 (18 enodes) 1540202339.529 * * [misc]simplify: iters left: 5 (27 enodes) 1540202339.533 * * [misc]simplify: iters left: 4 (45 enodes) 1540202339.540 * * [misc]simplify: iters left: 3 (90 enodes) 1540202339.555 * * [misc]simplify: iters left: 2 (155 enodes) 1540202339.587 * * [misc]simplify: iters left: 1 (235 enodes) 1540202339.637 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202339.637 * [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))))) 1540202339.637 * * * * [misc]progress: [ 1393 / 6878 ] simplifiying candidate # 1540202339.638 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 1)) 1540202339.638 * * [misc]simplify: iters left: 6 (10 enodes) 1540202339.639 * * [misc]simplify: iters left: 5 (18 enodes) 1540202339.642 * * [misc]simplify: iters left: 4 (22 enodes) 1540202339.644 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540202339.644 * [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))))))) 1540202339.644 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202339.644 * * [misc]simplify: iters left: 6 (17 enodes) 1540202339.648 * * [misc]simplify: iters left: 5 (26 enodes) 1540202339.652 * * [misc]simplify: iters left: 4 (44 enodes) 1540202339.658 * * [misc]simplify: iters left: 3 (89 enodes) 1540202339.673 * * [misc]simplify: iters left: 2 (154 enodes) 1540202339.704 * * [misc]simplify: iters left: 1 (234 enodes) 1540202339.755 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202339.755 * [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)))))) 1540202339.755 * * * * [misc]progress: [ 1394 / 6878 ] simplifiying candidate # 1540202339.755 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1) 1540202339.755 * * [misc]simplify: iters left: 6 (9 enodes) 1540202339.756 * * [misc]simplify: iters left: 5 (17 enodes) 1540202339.759 * * [misc]simplify: iters left: 4 (21 enodes) 1540202339.761 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540202339.761 * [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))))))) 1540202339.761 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202339.761 * * [misc]simplify: iters left: 6 (17 enodes) 1540202339.764 * * [misc]simplify: iters left: 5 (26 enodes) 1540202339.768 * * [misc]simplify: iters left: 4 (44 enodes) 1540202339.775 * * [misc]simplify: iters left: 3 (89 enodes) 1540202339.790 * * [misc]simplify: iters left: 2 (154 enodes) 1540202339.820 * * [misc]simplify: iters left: 1 (234 enodes) 1540202339.871 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202339.871 * [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)))))) 1540202339.871 * * * * [misc]progress: [ 1395 / 6878 ] simplifiying candidate # 1540202339.872 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (sqrt (sqrt k))) 1540202339.872 * * [misc]simplify: iters left: 6 (12 enodes) 1540202339.873 * * [misc]simplify: iters left: 5 (20 enodes) 1540202339.876 * * [misc]simplify: iters left: 4 (29 enodes) 1540202339.880 * * [misc]simplify: iters left: 3 (59 enodes) 1540202339.889 * * [misc]simplify: iters left: 2 (76 enodes) 1540202339.897 * * [misc]simplify: iters left: 1 (88 enodes) 1540202339.907 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202339.907 * [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))))))) 1540202339.907 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202339.907 * * [misc]simplify: iters left: 6 (18 enodes) 1540202339.909 * * [misc]simplify: iters left: 5 (29 enodes) 1540202339.913 * * [misc]simplify: iters left: 4 (46 enodes) 1540202339.920 * * [misc]simplify: iters left: 3 (98 enodes) 1540202339.937 * * [misc]simplify: iters left: 2 (205 enodes) 1540202339.998 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))) 1540202339.998 * [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)))))) 1540202339.998 * * * * [misc]progress: [ 1396 / 6878 ] simplifiying candidate # 1540202339.998 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202339.998 * * [misc]simplify: iters left: 6 (15 enodes) 1540202340.001 * * [misc]simplify: iters left: 5 (26 enodes) 1540202340.005 * * [misc]simplify: iters left: 4 (43 enodes) 1540202340.012 * * [misc]simplify: iters left: 3 (94 enodes) 1540202340.031 * * [misc]simplify: iters left: 2 (186 enodes) 1540202340.082 * * [misc]simplify: iters left: 1 (389 enodes) 1540202340.275 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt 2)) 1540202340.275 * [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))))) 1540202340.275 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202340.275 * * [misc]simplify: iters left: 6 (14 enodes) 1540202340.277 * * [misc]simplify: iters left: 5 (20 enodes) 1540202340.280 * * [misc]simplify: iters left: 4 (30 enodes) 1540202340.284 * * [misc]simplify: iters left: 3 (45 enodes) 1540202340.290 * * [misc]simplify: iters left: 2 (62 enodes) 1540202340.299 * * [misc]simplify: iters left: 1 (79 enodes) 1540202340.310 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202340.310 * [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)))))) 1540202340.310 * * * * [misc]progress: [ 1397 / 6878 ] simplifiying candidate # 1540202340.311 * [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))))))) 1540202340.311 * * [misc]simplify: iters left: 6 (19 enodes) 1540202340.313 * * [misc]simplify: iters left: 5 (31 enodes) 1540202340.317 * * [misc]simplify: iters left: 4 (51 enodes) 1540202340.325 * * [misc]simplify: iters left: 3 (94 enodes) 1540202340.340 * * [misc]simplify: iters left: 2 (154 enodes) 1540202340.373 * * [misc]simplify: iters left: 1 (270 enodes) 1540202340.425 * [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))) 1540202340.425 * [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)))))))) 1540202340.425 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202340.425 * * [misc]simplify: iters left: 6 (18 enodes) 1540202340.427 * * [misc]simplify: iters left: 5 (25 enodes) 1540202340.431 * * [misc]simplify: iters left: 4 (36 enodes) 1540202340.435 * * [misc]simplify: iters left: 3 (51 enodes) 1540202340.442 * * [misc]simplify: iters left: 2 (68 enodes) 1540202340.451 * * [misc]simplify: iters left: 1 (85 enodes) 1540202340.462 * [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)))))) 1540202340.462 * [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)))))))) 1540202340.462 * * * * [misc]progress: [ 1398 / 6878 ] simplifiying candidate # 1540202340.463 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202340.463 * * [misc]simplify: iters left: 6 (18 enodes) 1540202340.465 * * [misc]simplify: iters left: 5 (28 enodes) 1540202340.469 * * [misc]simplify: iters left: 4 (40 enodes) 1540202340.474 * * [misc]simplify: iters left: 3 (70 enodes) 1540202340.485 * * [misc]simplify: iters left: 2 (86 enodes) 1540202340.494 * * [misc]simplify: iters left: 1 (97 enodes) 1540202340.505 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202340.505 * [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)))))))) 1540202340.505 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202340.505 * * [misc]simplify: iters left: 6 (18 enodes) 1540202340.508 * * [misc]simplify: iters left: 5 (25 enodes) 1540202340.511 * * [misc]simplify: iters left: 4 (36 enodes) 1540202340.516 * * [misc]simplify: iters left: 3 (51 enodes) 1540202340.522 * * [misc]simplify: iters left: 2 (68 enodes) 1540202340.531 * * [misc]simplify: iters left: 1 (85 enodes) 1540202340.542 * [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)))))) 1540202340.542 * [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)))))))) 1540202340.542 * * * * [misc]progress: [ 1399 / 6878 ] simplifiying candidate # 1540202340.543 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202340.543 * * [misc]simplify: iters left: 6 (17 enodes) 1540202340.546 * * [misc]simplify: iters left: 5 (30 enodes) 1540202340.551 * * [misc]simplify: iters left: 4 (57 enodes) 1540202340.563 * * [misc]simplify: iters left: 3 (156 enodes) 1540202340.599 * * [misc]simplify: iters left: 2 (437 enodes) 1540202340.902 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202340.902 * [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))))))) 1540202340.902 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202340.902 * * [misc]simplify: iters left: 6 (16 enodes) 1540202340.904 * * [misc]simplify: iters left: 5 (24 enodes) 1540202340.908 * * [misc]simplify: iters left: 4 (42 enodes) 1540202340.914 * * [misc]simplify: iters left: 3 (90 enodes) 1540202340.930 * * [misc]simplify: iters left: 2 (177 enodes) 1540202340.970 * * [misc]simplify: iters left: 1 (312 enodes) 1540202341.068 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540202341.068 * [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)))))) 1540202341.068 * * * * [misc]progress: [ 1400 / 6878 ] simplifiying candidate # 1540202341.068 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202341.068 * * [misc]simplify: iters left: 6 (17 enodes) 1540202341.071 * * [misc]simplify: iters left: 5 (30 enodes) 1540202341.076 * * [misc]simplify: iters left: 4 (57 enodes) 1540202341.087 * * [misc]simplify: iters left: 3 (156 enodes) 1540202341.126 * * [misc]simplify: iters left: 2 (437 enodes) 1540202341.427 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202341.427 * [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))))))) 1540202341.427 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202341.427 * * [misc]simplify: iters left: 6 (16 enodes) 1540202341.429 * * [misc]simplify: iters left: 5 (24 enodes) 1540202341.432 * * [misc]simplify: iters left: 4 (42 enodes) 1540202341.439 * * [misc]simplify: iters left: 3 (90 enodes) 1540202341.457 * * [misc]simplify: iters left: 2 (177 enodes) 1540202341.494 * * [misc]simplify: iters left: 1 (312 enodes) 1540202341.592 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540202341.592 * [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)))))) 1540202341.592 * * * * [misc]progress: [ 1401 / 6878 ] simplifiying candidate # 1540202341.592 * [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))))))) 1540202341.592 * * [misc]simplify: iters left: 6 (21 enodes) 1540202341.595 * * [misc]simplify: iters left: 5 (39 enodes) 1540202341.601 * * [misc]simplify: iters left: 4 (89 enodes) 1540202341.620 * * [misc]simplify: iters left: 3 (257 enodes) 1540202341.705 * [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)))))) 1540202341.705 * [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)))))))) 1540202341.706 * [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)))))) 1540202341.706 * * [misc]simplify: iters left: 6 (19 enodes) 1540202341.708 * * [misc]simplify: iters left: 5 (28 enodes) 1540202341.712 * * [misc]simplify: iters left: 4 (47 enodes) 1540202341.719 * * [misc]simplify: iters left: 3 (95 enodes) 1540202341.736 * * [misc]simplify: iters left: 2 (182 enodes) 1540202341.776 * * [misc]simplify: iters left: 1 (321 enodes) 1540202341.875 * [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)))))) 1540202341.875 * [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)))))))) 1540202341.875 * * * * [misc]progress: [ 1402 / 6878 ] simplifiying candidate # 1540202341.875 * [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)))))) 1540202341.876 * * [misc]simplify: iters left: 6 (20 enodes) 1540202341.878 * * [misc]simplify: iters left: 5 (34 enodes) 1540202341.883 * * [misc]simplify: iters left: 4 (64 enodes) 1540202341.895 * * [misc]simplify: iters left: 3 (163 enodes) 1540202341.934 * * [misc]simplify: iters left: 2 (446 enodes) 1540202342.204 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540202342.204 * [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)))))))) 1540202342.205 * [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)))))) 1540202342.205 * * [misc]simplify: iters left: 6 (19 enodes) 1540202342.207 * * [misc]simplify: iters left: 5 (28 enodes) 1540202342.214 * * [misc]simplify: iters left: 4 (47 enodes) 1540202342.221 * * [misc]simplify: iters left: 3 (95 enodes) 1540202342.238 * * [misc]simplify: iters left: 2 (182 enodes) 1540202342.277 * * [misc]simplify: iters left: 1 (321 enodes) 1540202342.375 * [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)))))) 1540202342.375 * [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)))))))) 1540202342.375 * * * * [misc]progress: [ 1403 / 6878 ] simplifiying candidate # 1540202342.375 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202342.375 * * [misc]simplify: iters left: 6 (15 enodes) 1540202342.378 * * [misc]simplify: iters left: 5 (27 enodes) 1540202342.382 * * [misc]simplify: iters left: 4 (55 enodes) 1540202342.393 * * [misc]simplify: iters left: 3 (127 enodes) 1540202342.429 * * [misc]simplify: iters left: 2 (344 enodes) 1540202342.579 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt n))) 1540202342.579 * [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))))))) 1540202342.580 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202342.580 * * [misc]simplify: iters left: 6 (18 enodes) 1540202342.582 * * [misc]simplify: iters left: 5 (27 enodes) 1540202342.586 * * [misc]simplify: iters left: 4 (46 enodes) 1540202342.593 * * [misc]simplify: iters left: 3 (94 enodes) 1540202342.610 * * [misc]simplify: iters left: 2 (181 enodes) 1540202342.650 * * [misc]simplify: iters left: 1 (325 enodes) 1540202342.754 * [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))))) 1540202342.754 * [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))))))) 1540202342.754 * * * * [misc]progress: [ 1404 / 6878 ] simplifiying candidate # 1540202342.754 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202342.755 * * [misc]simplify: iters left: 6 (17 enodes) 1540202342.758 * * [misc]simplify: iters left: 5 (29 enodes) 1540202342.762 * * [misc]simplify: iters left: 4 (46 enodes) 1540202342.769 * * [misc]simplify: iters left: 3 (97 enodes) 1540202342.787 * * [misc]simplify: iters left: 2 (166 enodes) 1540202342.824 * * [misc]simplify: iters left: 1 (280 enodes) 1540202342.901 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202342.901 * [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))))))) 1540202342.902 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202342.902 * * [misc]simplify: iters left: 6 (17 enodes) 1540202342.904 * * [misc]simplify: iters left: 5 (25 enodes) 1540202342.907 * * [misc]simplify: iters left: 4 (43 enodes) 1540202342.914 * * [misc]simplify: iters left: 3 (91 enodes) 1540202342.932 * * [misc]simplify: iters left: 2 (178 enodes) 1540202342.969 * * [misc]simplify: iters left: 1 (316 enodes) 1540202343.068 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540202343.068 * [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))))) 1540202343.069 * * * * [misc]progress: [ 1405 / 6878 ] simplifiying candidate # 1540202343.069 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202343.069 * * [misc]simplify: iters left: 6 (17 enodes) 1540202343.072 * * [misc]simplify: iters left: 5 (29 enodes) 1540202343.076 * * [misc]simplify: iters left: 4 (46 enodes) 1540202343.084 * * [misc]simplify: iters left: 3 (97 enodes) 1540202343.103 * * [misc]simplify: iters left: 2 (166 enodes) 1540202343.139 * * [misc]simplify: iters left: 1 (280 enodes) 1540202343.217 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202343.217 * [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))))))) 1540202343.217 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202343.217 * * [misc]simplify: iters left: 6 (17 enodes) 1540202343.220 * * [misc]simplify: iters left: 5 (25 enodes) 1540202343.223 * * [misc]simplify: iters left: 4 (43 enodes) 1540202343.229 * * [misc]simplify: iters left: 3 (91 enodes) 1540202343.246 * * [misc]simplify: iters left: 2 (178 enodes) 1540202343.285 * * [misc]simplify: iters left: 1 (316 enodes) 1540202343.384 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540202343.384 * [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))))) 1540202343.385 * * * * [misc]progress: [ 1406 / 6878 ] simplifiying candidate # 1540202343.385 * [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))))))) 1540202343.385 * * [misc]simplify: iters left: 6 (21 enodes) 1540202343.388 * * [misc]simplify: iters left: 5 (36 enodes) 1540202343.393 * * [misc]simplify: iters left: 4 (62 enodes) 1540202343.403 * * [misc]simplify: iters left: 3 (136 enodes) 1540202343.431 * * [misc]simplify: iters left: 2 (287 enodes) 1540202343.529 * [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)))) 1540202343.529 * [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)))))))) 1540202343.529 * [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)))))) 1540202343.529 * * [misc]simplify: iters left: 6 (20 enodes) 1540202343.532 * * [misc]simplify: iters left: 5 (29 enodes) 1540202343.536 * * [misc]simplify: iters left: 4 (48 enodes) 1540202343.543 * * [misc]simplify: iters left: 3 (96 enodes) 1540202343.560 * * [misc]simplify: iters left: 2 (183 enodes) 1540202343.601 * * [misc]simplify: iters left: 1 (326 enodes) 1540202343.704 * [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)))) 1540202343.704 * [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)))))) 1540202343.704 * * * * [misc]progress: [ 1407 / 6878 ] simplifiying candidate # 1540202343.705 * [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)))))) 1540202343.705 * * [misc]simplify: iters left: 6 (20 enodes) 1540202343.708 * * [misc]simplify: iters left: 5 (33 enodes) 1540202343.712 * * [misc]simplify: iters left: 4 (53 enodes) 1540202343.720 * * [misc]simplify: iters left: 3 (104 enodes) 1540202343.738 * * [misc]simplify: iters left: 2 (177 enodes) 1540202343.774 * * [misc]simplify: iters left: 1 (309 enodes) 1540202343.869 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) 1540202343.869 * [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)))))))) 1540202343.869 * [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)))))) 1540202343.869 * * [misc]simplify: iters left: 6 (20 enodes) 1540202343.872 * * [misc]simplify: iters left: 5 (29 enodes) 1540202343.876 * * [misc]simplify: iters left: 4 (48 enodes) 1540202343.883 * * [misc]simplify: iters left: 3 (96 enodes) 1540202343.900 * * [misc]simplify: iters left: 2 (183 enodes) 1540202343.940 * * [misc]simplify: iters left: 1 (326 enodes) 1540202344.044 * [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)))) 1540202344.044 * [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)))))) 1540202344.044 * * * * [misc]progress: [ 1408 / 6878 ] simplifiying candidate # 1540202344.044 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202344.044 * * [misc]simplify: iters left: 6 (15 enodes) 1540202344.046 * * [misc]simplify: iters left: 5 (25 enodes) 1540202344.050 * * [misc]simplify: iters left: 4 (39 enodes) 1540202344.056 * * [misc]simplify: iters left: 3 (71 enodes) 1540202344.073 * * [misc]simplify: iters left: 2 (137 enodes) 1540202344.111 * * [misc]simplify: iters left: 1 (209 enodes) 1540202344.163 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202344.163 * [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))))))) 1540202344.163 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202344.163 * * [misc]simplify: iters left: 6 (19 enodes) 1540202344.166 * * [misc]simplify: iters left: 5 (28 enodes) 1540202344.170 * * [misc]simplify: iters left: 4 (47 enodes) 1540202344.177 * * [misc]simplify: iters left: 3 (95 enodes) 1540202344.194 * * [misc]simplify: iters left: 2 (182 enodes) 1540202344.233 * * [misc]simplify: iters left: 1 (320 enodes) 1540202344.331 * [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))))) 1540202344.331 * [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))))))) 1540202344.331 * * * * [misc]progress: [ 1409 / 6878 ] simplifiying candidate # 1540202344.332 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202344.332 * * [misc]simplify: iters left: 6 (16 enodes) 1540202344.335 * * [misc]simplify: iters left: 5 (27 enodes) 1540202344.339 * * [misc]simplify: iters left: 4 (44 enodes) 1540202344.346 * * [misc]simplify: iters left: 3 (95 enodes) 1540202344.364 * * [misc]simplify: iters left: 2 (186 enodes) 1540202344.416 * * [misc]simplify: iters left: 1 (396 enodes) 1540202344.600 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202344.600 * [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))))))) 1540202344.600 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202344.601 * * [misc]simplify: iters left: 6 (16 enodes) 1540202344.604 * * [misc]simplify: iters left: 5 (24 enodes) 1540202344.608 * * [misc]simplify: iters left: 4 (42 enodes) 1540202344.614 * * [misc]simplify: iters left: 3 (90 enodes) 1540202344.631 * * [misc]simplify: iters left: 2 (177 enodes) 1540202344.669 * * [misc]simplify: iters left: 1 (312 enodes) 1540202344.765 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202344.765 * [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)))))) 1540202344.765 * * * * [misc]progress: [ 1410 / 6878 ] simplifiying candidate # 1540202344.765 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202344.765 * * [misc]simplify: iters left: 6 (16 enodes) 1540202344.768 * * [misc]simplify: iters left: 5 (27 enodes) 1540202344.772 * * [misc]simplify: iters left: 4 (44 enodes) 1540202344.781 * * [misc]simplify: iters left: 3 (95 enodes) 1540202344.799 * * [misc]simplify: iters left: 2 (186 enodes) 1540202344.851 * * [misc]simplify: iters left: 1 (396 enodes) 1540202345.034 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202345.034 * [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))))))) 1540202345.035 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202345.035 * * [misc]simplify: iters left: 6 (16 enodes) 1540202345.037 * * [misc]simplify: iters left: 5 (24 enodes) 1540202345.040 * * [misc]simplify: iters left: 4 (42 enodes) 1540202345.047 * * [misc]simplify: iters left: 3 (90 enodes) 1540202345.065 * * [misc]simplify: iters left: 2 (177 enodes) 1540202345.102 * * [misc]simplify: iters left: 1 (312 enodes) 1540202345.200 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202345.200 * [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)))))) 1540202345.200 * * * * [misc]progress: [ 1411 / 6878 ] simplifiying candidate # 1540202345.200 * [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))))))) 1540202345.200 * * [misc]simplify: iters left: 6 (20 enodes) 1540202345.203 * * [misc]simplify: iters left: 5 (34 enodes) 1540202345.207 * * [misc]simplify: iters left: 4 (60 enodes) 1540202345.218 * * [misc]simplify: iters left: 3 (134 enodes) 1540202345.247 * * [misc]simplify: iters left: 2 (324 enodes) 1540202345.379 * [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)))) 1540202345.379 * [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)))))))) 1540202345.379 * [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)))))) 1540202345.379 * * [misc]simplify: iters left: 6 (19 enodes) 1540202345.382 * * [misc]simplify: iters left: 5 (28 enodes) 1540202345.386 * * [misc]simplify: iters left: 4 (47 enodes) 1540202345.393 * * [misc]simplify: iters left: 3 (95 enodes) 1540202345.412 * * [misc]simplify: iters left: 2 (182 enodes) 1540202345.450 * * [misc]simplify: iters left: 1 (321 enodes) 1540202345.549 * [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)))))) 1540202345.549 * [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)))))))) 1540202345.549 * * * * [misc]progress: [ 1412 / 6878 ] simplifiying candidate # 1540202345.549 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202345.549 * * [misc]simplify: iters left: 6 (19 enodes) 1540202345.552 * * [misc]simplify: iters left: 5 (31 enodes) 1540202345.556 * * [misc]simplify: iters left: 4 (51 enodes) 1540202345.564 * * [misc]simplify: iters left: 3 (102 enodes) 1540202345.581 * * [misc]simplify: iters left: 2 (193 enodes) 1540202345.626 * * [misc]simplify: iters left: 1 (440 enodes) 1540202345.847 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202345.847 * [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)))))))) 1540202345.847 * [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)))))) 1540202345.847 * * [misc]simplify: iters left: 6 (19 enodes) 1540202345.852 * * [misc]simplify: iters left: 5 (28 enodes) 1540202345.856 * * [misc]simplify: iters left: 4 (47 enodes) 1540202345.863 * * [misc]simplify: iters left: 3 (95 enodes) 1540202345.879 * * [misc]simplify: iters left: 2 (182 enodes) 1540202345.919 * * [misc]simplify: iters left: 1 (321 enodes) 1540202346.017 * [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)))))) 1540202346.017 * [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)))))))) 1540202346.017 * * * * [misc]progress: [ 1413 / 6878 ] simplifiying candidate # 1540202346.017 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202346.017 * * [misc]simplify: iters left: 6 (14 enodes) 1540202346.019 * * [misc]simplify: iters left: 5 (24 enodes) 1540202346.024 * * [misc]simplify: iters left: 4 (44 enodes) 1540202346.030 * * [misc]simplify: iters left: 3 (67 enodes) 1540202346.041 * * [misc]simplify: iters left: 2 (108 enodes) 1540202346.064 * * [misc]simplify: iters left: 1 (162 enodes) 1540202346.109 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202346.109 * [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))))))) 1540202346.109 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202346.110 * * [misc]simplify: iters left: 6 (18 enodes) 1540202346.112 * * [misc]simplify: iters left: 5 (27 enodes) 1540202346.116 * * [misc]simplify: iters left: 4 (46 enodes) 1540202346.123 * * [misc]simplify: iters left: 3 (94 enodes) 1540202346.140 * * [misc]simplify: iters left: 2 (181 enodes) 1540202346.179 * * [misc]simplify: iters left: 1 (325 enodes) 1540202346.284 * [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))))) 1540202346.284 * [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))))))) 1540202346.284 * * * * [misc]progress: [ 1414 / 6878 ] simplifiying candidate # 1540202346.284 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202346.284 * * [misc]simplify: iters left: 6 (13 enodes) 1540202346.287 * * [misc]simplify: iters left: 5 (24 enodes) 1540202346.291 * * [misc]simplify: iters left: 4 (34 enodes) 1540202346.297 * * [misc]simplify: iters left: 3 (77 enodes) 1540202346.310 * * [misc]simplify: iters left: 2 (105 enodes) 1540202346.325 * * [misc]simplify: iters left: 1 (122 enodes) 1540202346.341 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt n)) 1540202346.341 * [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))))))) 1540202346.341 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202346.341 * * [misc]simplify: iters left: 6 (15 enodes) 1540202346.343 * * [misc]simplify: iters left: 5 (23 enodes) 1540202346.346 * * [misc]simplify: iters left: 4 (40 enodes) 1540202346.353 * * [misc]simplify: iters left: 3 (85 enodes) 1540202346.367 * * [misc]simplify: iters left: 2 (150 enodes) 1540202346.399 * * [misc]simplify: iters left: 1 (234 enodes) 1540202346.452 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202346.452 * [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))))) 1540202346.452 * * * * [misc]progress: [ 1415 / 6878 ] simplifiying candidate # 1540202346.452 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202346.452 * * [misc]simplify: iters left: 6 (13 enodes) 1540202346.455 * * [misc]simplify: iters left: 5 (24 enodes) 1540202346.458 * * [misc]simplify: iters left: 4 (34 enodes) 1540202346.464 * * [misc]simplify: iters left: 3 (77 enodes) 1540202346.477 * * [misc]simplify: iters left: 2 (105 enodes) 1540202346.491 * * [misc]simplify: iters left: 1 (122 enodes) 1540202346.507 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt n)) 1540202346.507 * [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))))))) 1540202346.507 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202346.508 * * [misc]simplify: iters left: 6 (15 enodes) 1540202346.510 * * [misc]simplify: iters left: 5 (23 enodes) 1540202346.513 * * [misc]simplify: iters left: 4 (40 enodes) 1540202346.520 * * [misc]simplify: iters left: 3 (85 enodes) 1540202346.534 * * [misc]simplify: iters left: 2 (150 enodes) 1540202346.565 * * [misc]simplify: iters left: 1 (234 enodes) 1540202346.617 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202346.617 * [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))))) 1540202346.617 * * * * [misc]progress: [ 1416 / 6878 ] simplifiying candidate # 1540202346.617 * [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))))))) 1540202346.617 * * [misc]simplify: iters left: 6 (18 enodes) 1540202346.621 * * [misc]simplify: iters left: 5 (32 enodes) 1540202346.625 * * [misc]simplify: iters left: 4 (52 enodes) 1540202346.635 * * [misc]simplify: iters left: 3 (115 enodes) 1540202346.660 * * [misc]simplify: iters left: 2 (256 enodes) 1540202346.734 * * [misc]simplify: iters left: 1 (445 enodes) 1540202346.914 * [exit]simplify: Simplified to (* (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540202346.914 * [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)))))))) 1540202346.914 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202346.914 * * [misc]simplify: iters left: 6 (18 enodes) 1540202346.918 * * [misc]simplify: iters left: 5 (27 enodes) 1540202346.922 * * [misc]simplify: iters left: 4 (45 enodes) 1540202346.929 * * [misc]simplify: iters left: 3 (90 enodes) 1540202346.944 * * [misc]simplify: iters left: 2 (155 enodes) 1540202346.974 * * [misc]simplify: iters left: 1 (235 enodes) 1540202347.026 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202347.026 * [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))))) 1540202347.026 * * * * [misc]progress: [ 1417 / 6878 ] simplifiying candidate # 1540202347.026 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202347.026 * * [misc]simplify: iters left: 6 (17 enodes) 1540202347.029 * * [misc]simplify: iters left: 5 (29 enodes) 1540202347.033 * * [misc]simplify: iters left: 4 (42 enodes) 1540202347.041 * * [misc]simplify: iters left: 3 (85 enodes) 1540202347.054 * * [misc]simplify: iters left: 2 (112 enodes) 1540202347.067 * * [misc]simplify: iters left: 1 (138 enodes) 1540202347.086 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202347.086 * [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)))))))) 1540202347.087 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202347.087 * * [misc]simplify: iters left: 6 (18 enodes) 1540202347.089 * * [misc]simplify: iters left: 5 (27 enodes) 1540202347.093 * * [misc]simplify: iters left: 4 (45 enodes) 1540202347.100 * * [misc]simplify: iters left: 3 (90 enodes) 1540202347.116 * * [misc]simplify: iters left: 2 (155 enodes) 1540202347.146 * * [misc]simplify: iters left: 1 (235 enodes) 1540202347.198 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202347.198 * [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))))) 1540202347.198 * * * * [misc]progress: [ 1418 / 6878 ] simplifiying candidate # 1540202347.199 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) 1)) 1540202347.199 * * [misc]simplify: iters left: 6 (11 enodes) 1540202347.201 * * [misc]simplify: iters left: 5 (21 enodes) 1540202347.204 * * [misc]simplify: iters left: 4 (26 enodes) 1540202347.206 * * [misc]simplify: iters left: 3 (30 enodes) 1540202347.209 * * [misc]simplify: iters left: 2 (38 enodes) 1540202347.214 * * [misc]simplify: iters left: 1 (47 enodes) 1540202347.221 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540202347.221 * [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))))))) 1540202347.221 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202347.221 * * [misc]simplify: iters left: 6 (17 enodes) 1540202347.225 * * [misc]simplify: iters left: 5 (26 enodes) 1540202347.228 * * [misc]simplify: iters left: 4 (44 enodes) 1540202347.235 * * [misc]simplify: iters left: 3 (89 enodes) 1540202347.250 * * [misc]simplify: iters left: 2 (154 enodes) 1540202347.281 * * [misc]simplify: iters left: 1 (234 enodes) 1540202347.332 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202347.332 * [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)))))) 1540202347.332 * * * * [misc]progress: [ 1419 / 6878 ] simplifiying candidate # 1540202347.332 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202347.332 * * [misc]simplify: iters left: 6 (16 enodes) 1540202347.335 * * [misc]simplify: iters left: 5 (27 enodes) 1540202347.339 * * [misc]simplify: iters left: 4 (44 enodes) 1540202347.348 * * [misc]simplify: iters left: 3 (95 enodes) 1540202347.365 * * [misc]simplify: iters left: 2 (186 enodes) 1540202347.417 * * [misc]simplify: iters left: 1 (396 enodes) 1540202347.601 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202347.601 * [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))))))) 1540202347.602 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202347.602 * * [misc]simplify: iters left: 6 (16 enodes) 1540202347.604 * * [misc]simplify: iters left: 5 (24 enodes) 1540202347.607 * * [misc]simplify: iters left: 4 (42 enodes) 1540202347.613 * * [misc]simplify: iters left: 3 (90 enodes) 1540202347.632 * * [misc]simplify: iters left: 2 (177 enodes) 1540202347.669 * * [misc]simplify: iters left: 1 (312 enodes) 1540202347.766 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202347.766 * [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)))))) 1540202347.766 * * * * [misc]progress: [ 1420 / 6878 ] simplifiying candidate # 1540202347.767 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202347.767 * * [misc]simplify: iters left: 6 (16 enodes) 1540202347.770 * * [misc]simplify: iters left: 5 (27 enodes) 1540202347.773 * * [misc]simplify: iters left: 4 (44 enodes) 1540202347.781 * * [misc]simplify: iters left: 3 (95 enodes) 1540202347.800 * * [misc]simplify: iters left: 2 (186 enodes) 1540202347.851 * * [misc]simplify: iters left: 1 (396 enodes) 1540202348.036 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202348.036 * [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))))))) 1540202348.036 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202348.036 * * [misc]simplify: iters left: 6 (16 enodes) 1540202348.038 * * [misc]simplify: iters left: 5 (24 enodes) 1540202348.042 * * [misc]simplify: iters left: 4 (42 enodes) 1540202348.048 * * [misc]simplify: iters left: 3 (90 enodes) 1540202348.065 * * [misc]simplify: iters left: 2 (177 enodes) 1540202348.103 * * [misc]simplify: iters left: 1 (312 enodes) 1540202348.201 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540202348.201 * [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)))))) 1540202348.201 * * * * [misc]progress: [ 1421 / 6878 ] simplifiying candidate # 1540202348.202 * [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))))))) 1540202348.202 * * [misc]simplify: iters left: 6 (20 enodes) 1540202348.205 * * [misc]simplify: iters left: 5 (34 enodes) 1540202348.209 * * [misc]simplify: iters left: 4 (60 enodes) 1540202348.220 * * [misc]simplify: iters left: 3 (134 enodes) 1540202348.247 * * [misc]simplify: iters left: 2 (324 enodes) 1540202348.380 * [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)))) 1540202348.380 * [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)))))))) 1540202348.380 * [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)))))) 1540202348.380 * * [misc]simplify: iters left: 6 (19 enodes) 1540202348.383 * * [misc]simplify: iters left: 5 (28 enodes) 1540202348.386 * * [misc]simplify: iters left: 4 (47 enodes) 1540202348.393 * * [misc]simplify: iters left: 3 (95 enodes) 1540202348.411 * * [misc]simplify: iters left: 2 (182 enodes) 1540202348.450 * * [misc]simplify: iters left: 1 (321 enodes) 1540202348.549 * [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)))))) 1540202348.549 * [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)))))))) 1540202348.550 * * * * [misc]progress: [ 1422 / 6878 ] simplifiying candidate # 1540202348.550 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202348.550 * * [misc]simplify: iters left: 6 (19 enodes) 1540202348.552 * * [misc]simplify: iters left: 5 (31 enodes) 1540202348.557 * * [misc]simplify: iters left: 4 (51 enodes) 1540202348.565 * * [misc]simplify: iters left: 3 (102 enodes) 1540202348.582 * * [misc]simplify: iters left: 2 (193 enodes) 1540202348.627 * * [misc]simplify: iters left: 1 (440 enodes) 1540202348.849 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202348.849 * [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)))))))) 1540202348.849 * [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)))))) 1540202348.849 * * [misc]simplify: iters left: 6 (19 enodes) 1540202348.852 * * [misc]simplify: iters left: 5 (28 enodes) 1540202348.855 * * [misc]simplify: iters left: 4 (47 enodes) 1540202348.863 * * [misc]simplify: iters left: 3 (95 enodes) 1540202348.881 * * [misc]simplify: iters left: 2 (182 enodes) 1540202348.919 * * [misc]simplify: iters left: 1 (321 enodes) 1540202349.019 * [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)))))) 1540202349.019 * [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)))))))) 1540202349.019 * * * * [misc]progress: [ 1423 / 6878 ] simplifiying candidate # 1540202349.019 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202349.019 * * [misc]simplify: iters left: 6 (14 enodes) 1540202349.021 * * [misc]simplify: iters left: 5 (24 enodes) 1540202349.025 * * [misc]simplify: iters left: 4 (44 enodes) 1540202349.031 * * [misc]simplify: iters left: 3 (67 enodes) 1540202349.042 * * [misc]simplify: iters left: 2 (108 enodes) 1540202349.066 * * [misc]simplify: iters left: 1 (162 enodes) 1540202349.111 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540202349.111 * [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))))))) 1540202349.111 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202349.112 * * [misc]simplify: iters left: 6 (18 enodes) 1540202349.114 * * [misc]simplify: iters left: 5 (27 enodes) 1540202349.118 * * [misc]simplify: iters left: 4 (46 enodes) 1540202349.125 * * [misc]simplify: iters left: 3 (94 enodes) 1540202349.141 * * [misc]simplify: iters left: 2 (181 enodes) 1540202349.181 * * [misc]simplify: iters left: 1 (325 enodes) 1540202349.285 * [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))))) 1540202349.285 * [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))))))) 1540202349.285 * * * * [misc]progress: [ 1424 / 6878 ] simplifiying candidate # 1540202349.285 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202349.285 * * [misc]simplify: iters left: 6 (12 enodes) 1540202349.288 * * [misc]simplify: iters left: 5 (23 enodes) 1540202349.291 * * [misc]simplify: iters left: 4 (32 enodes) 1540202349.296 * * [misc]simplify: iters left: 3 (62 enodes) 1540202349.306 * * [misc]simplify: iters left: 2 (80 enodes) 1540202349.317 * * [misc]simplify: iters left: 1 (99 enodes) 1540202349.330 * [exit]simplify: Simplified to (* (sqrt 2) (* (sqrt PI) (sqrt n))) 1540202349.330 * [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))))))) 1540202349.330 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202349.330 * * [misc]simplify: iters left: 6 (15 enodes) 1540202349.332 * * [misc]simplify: iters left: 5 (23 enodes) 1540202349.336 * * [misc]simplify: iters left: 4 (40 enodes) 1540202349.342 * * [misc]simplify: iters left: 3 (85 enodes) 1540202349.358 * * [misc]simplify: iters left: 2 (150 enodes) 1540202349.388 * * [misc]simplify: iters left: 1 (234 enodes) 1540202349.441 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202349.441 * [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))))) 1540202349.441 * * * * [misc]progress: [ 1425 / 6878 ] simplifiying candidate # 1540202349.441 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202349.441 * * [misc]simplify: iters left: 6 (12 enodes) 1540202349.444 * * [misc]simplify: iters left: 5 (23 enodes) 1540202349.447 * * [misc]simplify: iters left: 4 (32 enodes) 1540202349.453 * * [misc]simplify: iters left: 3 (62 enodes) 1540202349.462 * * [misc]simplify: iters left: 2 (80 enodes) 1540202349.475 * * [misc]simplify: iters left: 1 (99 enodes) 1540202349.488 * [exit]simplify: Simplified to (* (sqrt 2) (* (sqrt PI) (sqrt n))) 1540202349.488 * [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))))))) 1540202349.488 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202349.488 * * [misc]simplify: iters left: 6 (15 enodes) 1540202349.490 * * [misc]simplify: iters left: 5 (23 enodes) 1540202349.493 * * [misc]simplify: iters left: 4 (40 enodes) 1540202349.499 * * [misc]simplify: iters left: 3 (85 enodes) 1540202349.514 * * [misc]simplify: iters left: 2 (150 enodes) 1540202349.546 * * [misc]simplify: iters left: 1 (234 enodes) 1540202349.598 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540202349.598 * [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))))) 1540202349.598 * * * * [misc]progress: [ 1426 / 6878 ] simplifiying candidate # 1540202349.599 * [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))))))) 1540202349.599 * * [misc]simplify: iters left: 6 (17 enodes) 1540202349.601 * * [misc]simplify: iters left: 5 (31 enodes) 1540202349.605 * * [misc]simplify: iters left: 4 (49 enodes) 1540202349.614 * * [misc]simplify: iters left: 3 (100 enodes) 1540202349.632 * * [misc]simplify: iters left: 2 (178 enodes) 1540202349.675 * * [misc]simplify: iters left: 1 (289 enodes) 1540202349.787 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (sqrt n))) 1540202349.787 * [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)))))))) 1540202349.787 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202349.788 * * [misc]simplify: iters left: 6 (18 enodes) 1540202349.790 * * [misc]simplify: iters left: 5 (27 enodes) 1540202349.794 * * [misc]simplify: iters left: 4 (45 enodes) 1540202349.800 * * [misc]simplify: iters left: 3 (90 enodes) 1540202349.816 * * [misc]simplify: iters left: 2 (155 enodes) 1540202349.848 * * [misc]simplify: iters left: 1 (235 enodes) 1540202349.899 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202349.899 * [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))))) 1540202349.899 * * * * [misc]progress: [ 1427 / 6878 ] simplifiying candidate # 1540202349.900 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202349.900 * * [misc]simplify: iters left: 6 (16 enodes) 1540202349.902 * * [misc]simplify: iters left: 5 (28 enodes) 1540202349.906 * * [misc]simplify: iters left: 4 (40 enodes) 1540202349.912 * * [misc]simplify: iters left: 3 (70 enodes) 1540202349.922 * * [misc]simplify: iters left: 2 (88 enodes) 1540202349.933 * * [misc]simplify: iters left: 1 (109 enodes) 1540202349.950 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt n))) 1540202349.950 * [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)))))))) 1540202349.950 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202349.950 * * [misc]simplify: iters left: 6 (18 enodes) 1540202349.952 * * [misc]simplify: iters left: 5 (27 enodes) 1540202349.956 * * [misc]simplify: iters left: 4 (45 enodes) 1540202349.963 * * [misc]simplify: iters left: 3 (90 enodes) 1540202349.979 * * [misc]simplify: iters left: 2 (155 enodes) 1540202350.010 * * [misc]simplify: iters left: 1 (235 enodes) 1540202350.060 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540202350.060 * [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))))) 1540202350.061 * * * * [misc]progress: [ 1428 / 6878 ] simplifiying candidate # 1540202350.061 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 1)) 1540202350.061 * * [misc]simplify: iters left: 6 (10 enodes) 1540202350.062 * * [misc]simplify: iters left: 5 (18 enodes) 1540202350.066 * * [misc]simplify: iters left: 4 (22 enodes) 1540202350.068 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540202350.068 * [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))))))) 1540202350.068 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202350.068 * * [misc]simplify: iters left: 6 (17 enodes) 1540202350.071 * * [misc]simplify: iters left: 5 (26 enodes) 1540202350.074 * * [misc]simplify: iters left: 4 (44 enodes) 1540202350.081 * * [misc]simplify: iters left: 3 (89 enodes) 1540202350.096 * * [misc]simplify: iters left: 2 (154 enodes) 1540202350.128 * * [misc]simplify: iters left: 1 (234 enodes) 1540202350.178 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202350.178 * [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)))))) 1540202350.178 * * * * [misc]progress: [ 1429 / 6878 ] simplifiying candidate # 1540202350.178 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1) 1540202350.178 * * [misc]simplify: iters left: 6 (9 enodes) 1540202350.180 * * [misc]simplify: iters left: 5 (17 enodes) 1540202350.182 * * [misc]simplify: iters left: 4 (21 enodes) 1540202350.184 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540202350.184 * [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))))))) 1540202350.184 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202350.184 * * [misc]simplify: iters left: 6 (17 enodes) 1540202350.188 * * [misc]simplify: iters left: 5 (26 enodes) 1540202350.192 * * [misc]simplify: iters left: 4 (44 enodes) 1540202350.198 * * [misc]simplify: iters left: 3 (89 enodes) 1540202350.213 * * [misc]simplify: iters left: 2 (154 enodes) 1540202350.244 * * [misc]simplify: iters left: 1 (234 enodes) 1540202350.295 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540202350.295 * [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)))))) 1540202350.295 * * * * [misc]progress: [ 1430 / 6878 ] simplifiying candidate # 1540202350.295 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (sqrt (sqrt k))) 1540202350.295 * * [misc]simplify: iters left: 6 (12 enodes) 1540202350.297 * * [misc]simplify: iters left: 5 (20 enodes) 1540202350.299 * * [misc]simplify: iters left: 4 (29 enodes) 1540202350.304 * * [misc]simplify: iters left: 3 (59 enodes) 1540202350.313 * * [misc]simplify: iters left: 2 (76 enodes) 1540202350.321 * * [misc]simplify: iters left: 1 (88 enodes) 1540202350.331 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540202350.331 * [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))))))) 1540202350.331 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202350.331 * * [misc]simplify: iters left: 6 (18 enodes) 1540202350.334 * * [misc]simplify: iters left: 5 (29 enodes) 1540202350.337 * * [misc]simplify: iters left: 4 (46 enodes) 1540202350.345 * * [misc]simplify: iters left: 3 (98 enodes) 1540202350.362 * * [misc]simplify: iters left: 2 (205 enodes) 1540202350.422 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))) 1540202350.422 * [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)))))) 1540202350.423 * * * * [misc]progress: [ 1431 / 6878 ] simplifiying candidate # 1540202350.423 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202350.423 * * [misc]simplify: iters left: 6 (15 enodes) 1540202350.426 * * [misc]simplify: iters left: 5 (26 enodes) 1540202350.429 * * [misc]simplify: iters left: 4 (43 enodes) 1540202350.439 * * [misc]simplify: iters left: 3 (94 enodes) 1540202350.456 * * [misc]simplify: iters left: 2 (186 enodes) 1540202350.507 * * [misc]simplify: iters left: 1 (389 enodes) 1540202350.699 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt 2)) 1540202350.699 * [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))))) 1540202350.699 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202350.699 * * [misc]simplify: iters left: 6 (14 enodes) 1540202350.701 * * [misc]simplify: iters left: 5 (20 enodes) 1540202350.704 * * [misc]simplify: iters left: 4 (30 enodes) 1540202350.708 * * [misc]simplify: iters left: 3 (45 enodes) 1540202350.715 * * [misc]simplify: iters left: 2 (62 enodes) 1540202350.724 * * [misc]simplify: iters left: 1 (79 enodes) 1540202350.734 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202350.735 * [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)))))) 1540202350.735 * * * * [misc]progress: [ 1432 / 6878 ] simplifiying candidate # 1540202350.735 * [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))))))) 1540202350.735 * * [misc]simplify: iters left: 6 (21 enodes) 1540202350.738 * * [misc]simplify: iters left: 5 (34 enodes) 1540202350.743 * * [misc]simplify: iters left: 4 (58 enodes) 1540202350.752 * * [misc]simplify: iters left: 3 (130 enodes) 1540202350.780 * * [misc]simplify: iters left: 2 (294 enodes) 1540202350.883 * [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))))))) 1540202350.883 * [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)))))))) 1540202350.883 * [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)))))) 1540202350.884 * * [misc]simplify: iters left: 6 (19 enodes) 1540202350.886 * * [misc]simplify: iters left: 5 (26 enodes) 1540202350.889 * * [misc]simplify: iters left: 4 (37 enodes) 1540202350.894 * * [misc]simplify: iters left: 3 (52 enodes) 1540202350.903 * * [misc]simplify: iters left: 2 (69 enodes) 1540202350.912 * * [misc]simplify: iters left: 1 (86 enodes) 1540202350.923 * [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)))))) 1540202350.923 * [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)))))))) 1540202350.923 * * * * [misc]progress: [ 1433 / 6878 ] simplifiying candidate # 1540202350.923 * [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)))))) 1540202350.923 * * [misc]simplify: iters left: 6 (20 enodes) 1540202350.926 * * [misc]simplify: iters left: 5 (31 enodes) 1540202350.930 * * [misc]simplify: iters left: 4 (47 enodes) 1540202350.938 * * [misc]simplify: iters left: 3 (100 enodes) 1540202350.955 * * [misc]simplify: iters left: 2 (174 enodes) 1540202350.984 * * [misc]simplify: iters left: 1 (263 enodes) 1540202351.052 * [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)))))) 1540202351.052 * [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)))))))) 1540202351.052 * [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)))))) 1540202351.052 * * [misc]simplify: iters left: 6 (19 enodes) 1540202351.055 * * [misc]simplify: iters left: 5 (26 enodes) 1540202351.058 * * [misc]simplify: iters left: 4 (37 enodes) 1540202351.063 * * [misc]simplify: iters left: 3 (52 enodes) 1540202351.069 * * [misc]simplify: iters left: 2 (69 enodes) 1540202351.079 * * [misc]simplify: iters left: 1 (86 enodes) 1540202351.389 * [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)))))) 1540202351.389 * [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)))))))) 1540202351.390 * * * * [misc]progress: [ 1434 / 6878 ] simplifiying candidate # 1540202351.390 * [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))) 1540202351.390 * * [misc]simplify: iters left: 6 (21 enodes) 1540202351.394 * * [misc]simplify: iters left: 5 (37 enodes) 1540202351.399 * * [misc]simplify: iters left: 4 (71 enodes) 1540202351.414 * * [misc]simplify: iters left: 3 (209 enodes) 1540202351.491 * [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)))))) 1540202351.491 * [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))))))) 1540202351.491 * [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))))) 1540202351.491 * * [misc]simplify: iters left: 6 (19 enodes) 1540202351.494 * * [misc]simplify: iters left: 5 (28 enodes) 1540202351.498 * * [misc]simplify: iters left: 4 (47 enodes) 1540202351.504 * * [misc]simplify: iters left: 3 (95 enodes) 1540202351.524 * * [misc]simplify: iters left: 2 (182 enodes) 1540202351.562 * * [misc]simplify: iters left: 1 (317 enodes) 1540202351.660 * [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)))))) 1540202351.660 * [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)))))))) 1540202351.660 * * * * [misc]progress: [ 1435 / 6878 ] simplifiying candidate # 1540202351.660 * [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))) 1540202351.660 * * [misc]simplify: iters left: 6 (21 enodes) 1540202351.664 * * [misc]simplify: iters left: 5 (37 enodes) 1540202351.669 * * [misc]simplify: iters left: 4 (71 enodes) 1540202351.684 * * [misc]simplify: iters left: 3 (209 enodes) 1540202351.761 * [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)))))) 1540202351.761 * [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))))))) 1540202351.761 * [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))))) 1540202351.762 * * [misc]simplify: iters left: 6 (19 enodes) 1540202351.764 * * [misc]simplify: iters left: 5 (28 enodes) 1540202351.768 * * [misc]simplify: iters left: 4 (47 enodes) 1540202351.775 * * [misc]simplify: iters left: 3 (95 enodes) 1540202351.792 * * [misc]simplify: iters left: 2 (182 enodes) 1540202351.831 * * [misc]simplify: iters left: 1 (317 enodes) 1540202351.929 * [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)))))) 1540202351.929 * [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)))))))) 1540202351.929 * * * * [misc]progress: [ 1436 / 6878 ] simplifiying candidate # 1540202351.930 * [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))))))) 1540202351.930 * * [misc]simplify: iters left: 6 (23 enodes) 1540202351.933 * * [misc]simplify: iters left: 5 (42 enodes) 1540202351.939 * * [misc]simplify: iters left: 4 (96 enodes) 1540202351.962 * * [misc]simplify: iters left: 3 (314 enodes) 1540202352.112 * [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))))))) 1540202352.112 * [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)))))))) 1540202352.112 * [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)))))) 1540202352.112 * * [misc]simplify: iters left: 6 (20 enodes) 1540202352.115 * * [misc]simplify: iters left: 5 (29 enodes) 1540202352.119 * * [misc]simplify: iters left: 4 (48 enodes) 1540202352.126 * * [misc]simplify: iters left: 3 (96 enodes) 1540202352.143 * * [misc]simplify: iters left: 2 (183 enodes) 1540202352.182 * * [misc]simplify: iters left: 1 (321 enodes) 1540202352.281 * [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)))))) 1540202352.282 * [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)))))))) 1540202352.282 * * * * [misc]progress: [ 1437 / 6878 ] simplifiying candidate # 1540202352.282 * [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)))))) 1540202352.282 * * [misc]simplify: iters left: 6 (22 enodes) 1540202352.285 * * [misc]simplify: iters left: 5 (37 enodes) 1540202352.290 * * [misc]simplify: iters left: 4 (71 enodes) 1540202352.305 * * [misc]simplify: iters left: 3 (209 enodes) 1540202352.382 * [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))))))) 1540202352.382 * [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)))))))) 1540202352.382 * [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)))))) 1540202352.382 * * [misc]simplify: iters left: 6 (20 enodes) 1540202352.385 * * [misc]simplify: iters left: 5 (29 enodes) 1540202352.389 * * [misc]simplify: iters left: 4 (48 enodes) 1540202352.396 * * [misc]simplify: iters left: 3 (96 enodes) 1540202352.415 * * [misc]simplify: iters left: 2 (183 enodes) 1540202352.452 * * [misc]simplify: iters left: 1 (321 enodes) 1540202352.552 * [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)))))) 1540202352.552 * [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)))))))) 1540202352.552 * * * * [misc]progress: [ 1438 / 6878 ] simplifiying candidate # 1540202352.552 * [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)) 1540202352.552 * * [misc]simplify: iters left: 6 (20 enodes) 1540202352.555 * * [misc]simplify: iters left: 5 (35 enodes) 1540202352.561 * * [misc]simplify: iters left: 4 (70 enodes) 1540202352.574 * * [misc]simplify: iters left: 3 (178 enodes) 1540202352.660 * [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)))))) 1540202352.660 * [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))))))) 1540202352.660 * [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))))) 1540202352.660 * * [misc]simplify: iters left: 6 (19 enodes) 1540202352.663 * * [misc]simplify: iters left: 5 (28 enodes) 1540202352.667 * * [misc]simplify: iters left: 4 (47 enodes) 1540202352.673 * * [misc]simplify: iters left: 3 (95 enodes) 1540202352.690 * * [misc]simplify: iters left: 2 (182 enodes) 1540202352.729 * * [misc]simplify: iters left: 1 (317 enodes) 1540202352.827 * [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)))))) 1540202352.827 * [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)))))))) 1540202352.828 * * * * [misc]progress: [ 1439 / 6878 ] simplifiying candidate # 1540202352.828 * [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))) 1540202352.828 * * [misc]simplify: iters left: 6 (21 enodes) 1540202352.832 * * [misc]simplify: iters left: 5 (36 enodes) 1540202352.837 * * [misc]simplify: iters left: 4 (60 enodes) 1540202352.847 * * [misc]simplify: iters left: 3 (141 enodes) 1540202352.881 * * [misc]simplify: iters left: 2 (314 enodes) 1540202352.993 * [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)))))) 1540202352.993 * [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))))))) 1540202352.994 * [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))))) 1540202352.994 * * [misc]simplify: iters left: 6 (20 enodes) 1540202352.996 * * [misc]simplify: iters left: 5 (29 enodes) 1540202353.000 * * [misc]simplify: iters left: 4 (48 enodes) 1540202353.007 * * [misc]simplify: iters left: 3 (96 enodes) 1540202353.024 * * [misc]simplify: iters left: 2 (183 enodes) 1540202353.064 * * [misc]simplify: iters left: 1 (321 enodes) 1540202353.162 * [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)))) 1540202353.162 * [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)))))) 1540202353.162 * * * * [misc]progress: [ 1440 / 6878 ] simplifiying candidate # 1540202353.162 * [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))) 1540202353.162 * * [misc]simplify: iters left: 6 (21 enodes) 1540202353.167 * * [misc]simplify: iters left: 5 (36 enodes) 1540202353.172 * * [misc]simplify: iters left: 4 (60 enodes) 1540202353.183 * * [misc]simplify: iters left: 3 (141 enodes) 1540202353.214 * * [misc]simplify: iters left: 2 (314 enodes) 1540202353.327 * [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)))))) 1540202353.327 * [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))))))) 1540202353.327 * [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))))) 1540202353.327 * * [misc]simplify: iters left: 6 (20 enodes) 1540202353.330 * * [misc]simplify: iters left: 5 (29 enodes) 1540202353.334 * * [misc]simplify: iters left: 4 (48 enodes) 1540202353.341 * * [misc]simplify: iters left: 3 (96 enodes) 1540202353.360 * * [misc]simplify: iters left: 2 (183 enodes) 1540202353.398 * * [misc]simplify: iters left: 1 (321 enodes) 1540202353.497 * [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)))) 1540202353.497 * [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)))))) 1540202353.497 * * * * [misc]progress: [ 1441 / 6878 ] simplifiying candidate # 1540202353.497 * [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))))))) 1540202353.497 * * [misc]simplify: iters left: 6 (23 enodes) 1540202353.500 * * [misc]simplify: iters left: 5 (39 enodes) 1540202353.506 * * [misc]simplify: iters left: 4 (69 enodes) 1540202353.518 * * [misc]simplify: iters left: 3 (173 enodes) 1540202353.567 * * [misc]simplify: iters left: 2 (484 enodes) 1540202353.798 * [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))) 1540202353.798 * [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)))))))) 1540202353.798 * [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)))))) 1540202353.798 * * [misc]simplify: iters left: 6 (21 enodes) 1540202353.801 * * [misc]simplify: iters left: 5 (30 enodes) 1540202353.805 * * [misc]simplify: iters left: 4 (49 enodes) 1540202353.812 * * [misc]simplify: iters left: 3 (97 enodes) 1540202353.832 * * [misc]simplify: iters left: 2 (184 enodes) 1540202353.869 * * [misc]simplify: iters left: 1 (321 enodes) 1540202353.968 * [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)))) 1540202353.968 * [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)))))) 1540202353.968 * * * * [misc]progress: [ 1442 / 6878 ] simplifiying candidate # 1540202353.968 * [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)))))) 1540202353.969 * * [misc]simplify: iters left: 6 (22 enodes) 1540202353.972 * * [misc]simplify: iters left: 5 (36 enodes) 1540202353.977 * * [misc]simplify: iters left: 4 (60 enodes) 1540202353.988 * * [misc]simplify: iters left: 3 (141 enodes) 1540202354.019 * * [misc]simplify: iters left: 2 (315 enodes) 1540202354.124 * [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)))))) 1540202354.124 * [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)))))))) 1540202354.124 * [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)))))) 1540202354.124 * * [misc]simplify: iters left: 6 (21 enodes) 1540202354.127 * * [misc]simplify: iters left: 5 (30 enodes) 1540202354.131 * * [misc]simplify: iters left: 4 (49 enodes) 1540202354.138 * * [misc]simplify: iters left: 3 (97 enodes) 1540202354.156 * * [misc]simplify: iters left: 2 (184 enodes) 1540202354.196 * * [misc]simplify: iters left: 1 (321 enodes) 1540202354.295 * [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)))) 1540202354.295 * [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)))))) 1540202354.295 * * * * [misc]progress: [ 1443 / 6878 ] simplifiying candidate # 1540202354.295 * [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)) 1540202354.296 * * [misc]simplify: iters left: 6 (20 enodes) 1540202354.298 * * [misc]simplify: iters left: 5 (33 enodes) 1540202354.303 * * [misc]simplify: iters left: 4 (54 enodes) 1540202354.312 * * [misc]simplify: iters left: 3 (106 enodes) 1540202354.341 * * [misc]simplify: iters left: 2 (264 enodes) 1540202354.489 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540202354.489 * [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))))))) 1540202354.490 * [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))))) 1540202354.490 * * [misc]simplify: iters left: 6 (20 enodes) 1540202354.492 * * [misc]simplify: iters left: 5 (29 enodes) 1540202354.496 * * [misc]simplify: iters left: 4 (48 enodes) 1540202354.503 * * [misc]simplify: iters left: 3 (96 enodes) 1540202354.522 * * [misc]simplify: iters left: 2 (183 enodes) 1540202354.560 * * [misc]simplify: iters left: 1 (321 enodes) 1540202354.660 * [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))))) 1540202354.660 * [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))))))) 1540202354.660 * * * * [misc]progress: [ 1444 / 6878 ] simplifiying candidate # 1540202354.660 * [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))) 1540202354.660 * * [misc]simplify: iters left: 6 (20 enodes) 1540202354.664 * * [misc]simplify: iters left: 5 (34 enodes) 1540202354.669 * * [misc]simplify: iters left: 4 (58 enodes) 1540202354.679 * * [misc]simplify: iters left: 3 (139 enodes) 1540202354.712 * * [misc]simplify: iters left: 2 (332 enodes) 1540202354.832 * [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)))) 1540202354.832 * [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))))))) 1540202354.832 * [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))))) 1540202354.832 * * [misc]simplify: iters left: 6 (19 enodes) 1540202354.835 * * [misc]simplify: iters left: 5 (28 enodes) 1540202354.838 * * [misc]simplify: iters left: 4 (47 enodes) 1540202354.845 * * [misc]simplify: iters left: 3 (95 enodes) 1540202354.862 * * [misc]simplify: iters left: 2 (182 enodes) 1540202354.902 * * [misc]simplify: iters left: 1 (317 enodes) 1540202355.001 * [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)))))) 1540202355.001 * [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)))))))) 1540202355.001 * * * * [misc]progress: [ 1445 / 6878 ] simplifiying candidate # 1540202355.001 * [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))) 1540202355.001 * * [misc]simplify: iters left: 6 (20 enodes) 1540202355.005 * * [misc]simplify: iters left: 5 (34 enodes) 1540202355.010 * * [misc]simplify: iters left: 4 (58 enodes) 1540202355.020 * * [misc]simplify: iters left: 3 (139 enodes) 1540202355.052 * * [misc]simplify: iters left: 2 (332 enodes) 1540202355.171 * [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)))) 1540202355.171 * [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))))))) 1540202355.171 * [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))))) 1540202355.171 * * [misc]simplify: iters left: 6 (19 enodes) 1540202355.174 * * [misc]simplify: iters left: 5 (28 enodes) 1540202355.178 * * [misc]simplify: iters left: 4 (47 enodes) 1540202355.185 * * [misc]simplify: iters left: 3 (95 enodes) 1540202355.202 * * [misc]simplify: iters left: 2 (182 enodes) 1540202355.241 * * [misc]simplify: iters left: 1 (317 enodes) 1540202355.338 * [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)))))) 1540202355.338 * [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)))))))) 1540202355.338 * * * * [misc]progress: [ 1446 / 6878 ] simplifiying candidate # 1540202355.338 * [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))))))) 1540202355.338 * * [misc]simplify: iters left: 6 (22 enodes) 1540202355.343 * * [misc]simplify: iters left: 5 (37 enodes) 1540202355.348 * * [misc]simplify: iters left: 4 (67 enodes) 1540202355.360 * * [misc]simplify: iters left: 3 (171 enodes) 1540202355.414 * [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)))))) 1540202355.414 * [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)))))))) 1540202355.414 * [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)))))) 1540202355.414 * * [misc]simplify: iters left: 6 (20 enodes) 1540202355.417 * * [misc]simplify: iters left: 5 (29 enodes) 1540202355.421 * * [misc]simplify: iters left: 4 (48 enodes) 1540202355.428 * * [misc]simplify: iters left: 3 (96 enodes) 1540202355.445 * * [misc]simplify: iters left: 2 (183 enodes) 1540202355.484 * * [misc]simplify: iters left: 1 (321 enodes) 1540202355.584 * [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)))))) 1540202355.584 * [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)))))))) 1540202355.585 * * * * [misc]progress: [ 1447 / 6878 ] simplifiying candidate # 1540202355.585 * [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)))))) 1540202355.585 * * [misc]simplify: iters left: 6 (21 enodes) 1540202355.588 * * [misc]simplify: iters left: 5 (34 enodes) 1540202355.592 * * [misc]simplify: iters left: 4 (58 enodes) 1540202355.602 * * [misc]simplify: iters left: 3 (139 enodes) 1540202355.633 * * [misc]simplify: iters left: 2 (339 enodes) 1540202355.749 * [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)))))) 1540202355.749 * [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)))))))) 1540202355.749 * [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)))))) 1540202355.749 * * [misc]simplify: iters left: 6 (20 enodes) 1540202355.752 * * [misc]simplify: iters left: 5 (29 enodes) 1540202355.756 * * [misc]simplify: iters left: 4 (48 enodes) 1540202355.765 * * [misc]simplify: iters left: 3 (96 enodes) 1540202355.782 * * [misc]simplify: iters left: 2 (183 enodes) 1540202355.821 * * [misc]simplify: iters left: 1 (321 enodes) 1540202355.920 * [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)))))) 1540202355.920 * [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)))))))) 1540202355.920 * * * * [misc]progress: [ 1448 / 6878 ] simplifiying candidate # 1540202355.920 * [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)) 1540202355.920 * * [misc]simplify: iters left: 6 (19 enodes) 1540202355.923 * * [misc]simplify: iters left: 5 (32 enodes) 1540202355.928 * * [misc]simplify: iters left: 4 (59 enodes) 1540202355.939 * * [misc]simplify: iters left: 3 (98 enodes) 1540202355.958 * * [misc]simplify: iters left: 2 (228 enodes) 1540202356.062 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202356.062 * [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))))))) 1540202356.062 * [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))))) 1540202356.062 * * [misc]simplify: iters left: 6 (19 enodes) 1540202356.065 * * [misc]simplify: iters left: 5 (28 enodes) 1540202356.069 * * [misc]simplify: iters left: 4 (47 enodes) 1540202356.076 * * [misc]simplify: iters left: 3 (95 enodes) 1540202356.093 * * [misc]simplify: iters left: 2 (182 enodes) 1540202356.132 * * [misc]simplify: iters left: 1 (317 enodes) 1540202356.231 * [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)))))) 1540202356.231 * [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)))))))) 1540202356.231 * * * * [misc]progress: [ 1449 / 6878 ] simplifiying candidate # 1540202356.231 * [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))) 1540202356.231 * * [misc]simplify: iters left: 6 (18 enodes) 1540202356.235 * * [misc]simplify: iters left: 5 (32 enodes) 1540202356.239 * * [misc]simplify: iters left: 4 (50 enodes) 1540202356.249 * * [misc]simplify: iters left: 3 (130 enodes) 1540202356.280 * * [misc]simplify: iters left: 2 (255 enodes) 1540202356.345 * * [misc]simplify: iters left: 1 (465 enodes) 1540202356.545 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (sqrt PI))) 1540202356.545 * [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))))))) 1540202356.545 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202356.546 * * [misc]simplify: iters left: 6 (18 enodes) 1540202356.548 * * [misc]simplify: iters left: 5 (27 enodes) 1540202356.552 * * [misc]simplify: iters left: 4 (45 enodes) 1540202356.559 * * [misc]simplify: iters left: 3 (90 enodes) 1540202356.576 * * [misc]simplify: iters left: 2 (155 enodes) 1540202356.607 * * [misc]simplify: iters left: 1 (239 enodes) 1540202356.660 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202356.660 * [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))))))) 1540202356.660 * * * * [misc]progress: [ 1450 / 6878 ] simplifiying candidate # 1540202356.661 * [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))) 1540202356.661 * * [misc]simplify: iters left: 6 (18 enodes) 1540202356.664 * * [misc]simplify: iters left: 5 (32 enodes) 1540202356.669 * * [misc]simplify: iters left: 4 (50 enodes) 1540202356.678 * * [misc]simplify: iters left: 3 (130 enodes) 1540202356.711 * * [misc]simplify: iters left: 2 (255 enodes) 1540202356.776 * * [misc]simplify: iters left: 1 (465 enodes) 1540202356.976 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (sqrt PI))) 1540202356.976 * [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))))))) 1540202356.976 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202356.976 * * [misc]simplify: iters left: 6 (18 enodes) 1540202356.979 * * [misc]simplify: iters left: 5 (27 enodes) 1540202356.984 * * [misc]simplify: iters left: 4 (45 enodes) 1540202356.991 * * [misc]simplify: iters left: 3 (90 enodes) 1540202357.007 * * [misc]simplify: iters left: 2 (155 enodes) 1540202357.038 * * [misc]simplify: iters left: 1 (239 enodes) 1540202357.091 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202357.091 * [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))))))) 1540202357.091 * * * * [misc]progress: [ 1451 / 6878 ] simplifiying candidate # 1540202357.091 * [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))))))) 1540202357.091 * * [misc]simplify: iters left: 6 (20 enodes) 1540202357.095 * * [misc]simplify: iters left: 5 (35 enodes) 1540202357.099 * * [misc]simplify: iters left: 4 (60 enodes) 1540202357.112 * * [misc]simplify: iters left: 3 (155 enodes) 1540202357.155 * * [misc]simplify: iters left: 2 (411 enodes) 1540202357.346 * [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))))))) 1540202357.346 * [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)))))))) 1540202357.346 * [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)))))) 1540202357.346 * * [misc]simplify: iters left: 6 (19 enodes) 1540202357.349 * * [misc]simplify: iters left: 5 (28 enodes) 1540202357.352 * * [misc]simplify: iters left: 4 (46 enodes) 1540202357.359 * * [misc]simplify: iters left: 3 (91 enodes) 1540202357.375 * * [misc]simplify: iters left: 2 (156 enodes) 1540202357.407 * * [misc]simplify: iters left: 1 (239 enodes) 1540202357.460 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202357.460 * [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)))))))) 1540202357.460 * * * * [misc]progress: [ 1452 / 6878 ] simplifiying candidate # 1540202357.460 * [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)))))) 1540202357.460 * * [misc]simplify: iters left: 6 (19 enodes) 1540202357.464 * * [misc]simplify: iters left: 5 (32 enodes) 1540202357.468 * * [misc]simplify: iters left: 4 (50 enodes) 1540202357.477 * * [misc]simplify: iters left: 3 (130 enodes) 1540202357.506 * * [misc]simplify: iters left: 2 (249 enodes) 1540202357.563 * * [misc]simplify: iters left: 1 (399 enodes) 1540202357.730 * [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)))))) 1540202357.730 * [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)))))))) 1540202357.730 * [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)))))) 1540202357.730 * * [misc]simplify: iters left: 6 (19 enodes) 1540202357.733 * * [misc]simplify: iters left: 5 (28 enodes) 1540202357.737 * * [misc]simplify: iters left: 4 (46 enodes) 1540202357.746 * * [misc]simplify: iters left: 3 (91 enodes) 1540202357.761 * * [misc]simplify: iters left: 2 (156 enodes) 1540202357.792 * * [misc]simplify: iters left: 1 (239 enodes) 1540202357.845 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202357.845 * [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)))))))) 1540202357.845 * * * * [misc]progress: [ 1453 / 6878 ] simplifiying candidate # 1540202357.846 * [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)) 1540202357.846 * * [misc]simplify: iters left: 6 (17 enodes) 1540202357.849 * * [misc]simplify: iters left: 5 (30 enodes) 1540202357.853 * * [misc]simplify: iters left: 4 (41 enodes) 1540202357.858 * * [misc]simplify: iters left: 3 (51 enodes) 1540202357.865 * * [misc]simplify: iters left: 2 (75 enodes) 1540202357.881 * * [misc]simplify: iters left: 1 (118 enodes) 1540202357.907 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt PI)) 1540202357.907 * [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))))))) 1540202357.908 * [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))))) 1540202357.908 * * [misc]simplify: iters left: 6 (18 enodes) 1540202357.910 * * [misc]simplify: iters left: 5 (27 enodes) 1540202357.914 * * [misc]simplify: iters left: 4 (45 enodes) 1540202357.921 * * [misc]simplify: iters left: 3 (90 enodes) 1540202357.937 * * [misc]simplify: iters left: 2 (155 enodes) 1540202357.968 * * [misc]simplify: iters left: 1 (239 enodes) 1540202358.022 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202358.022 * [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)))))))) 1540202358.022 * * * * [misc]progress: [ 1454 / 6878 ] simplifiying candidate # 1540202358.022 * [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))) 1540202358.022 * * [misc]simplify: iters left: 6 (20 enodes) 1540202358.026 * * [misc]simplify: iters left: 5 (34 enodes) 1540202358.031 * * [misc]simplify: iters left: 4 (58 enodes) 1540202358.041 * * [misc]simplify: iters left: 3 (139 enodes) 1540202358.073 * * [misc]simplify: iters left: 2 (332 enodes) 1540202358.192 * [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)))) 1540202358.192 * [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))))))) 1540202358.192 * [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))))) 1540202358.193 * * [misc]simplify: iters left: 6 (19 enodes) 1540202358.195 * * [misc]simplify: iters left: 5 (28 enodes) 1540202358.199 * * [misc]simplify: iters left: 4 (47 enodes) 1540202358.206 * * [misc]simplify: iters left: 3 (95 enodes) 1540202358.223 * * [misc]simplify: iters left: 2 (182 enodes) 1540202358.263 * * [misc]simplify: iters left: 1 (317 enodes) 1540202358.362 * [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)))))) 1540202358.362 * [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)))))))) 1540202358.362 * * * * [misc]progress: [ 1455 / 6878 ] simplifiying candidate # 1540202358.363 * [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))) 1540202358.363 * * [misc]simplify: iters left: 6 (20 enodes) 1540202358.366 * * [misc]simplify: iters left: 5 (34 enodes) 1540202358.371 * * [misc]simplify: iters left: 4 (58 enodes) 1540202358.382 * * [misc]simplify: iters left: 3 (139 enodes) 1540202358.414 * * [misc]simplify: iters left: 2 (332 enodes) 1540202358.545 * [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)))) 1540202358.545 * [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))))))) 1540202358.545 * [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))))) 1540202358.545 * * [misc]simplify: iters left: 6 (19 enodes) 1540202358.550 * * [misc]simplify: iters left: 5 (28 enodes) 1540202358.556 * * [misc]simplify: iters left: 4 (47 enodes) 1540202358.568 * * [misc]simplify: iters left: 3 (95 enodes) 1540202358.597 * * [misc]simplify: iters left: 2 (182 enodes) 1540202358.662 * * [misc]simplify: iters left: 1 (317 enodes) 1540202358.827 * [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)))))) 1540202358.828 * [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)))))))) 1540202358.828 * * * * [misc]progress: [ 1456 / 6878 ] simplifiying candidate # 1540202358.828 * [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))))))) 1540202358.828 * * [misc]simplify: iters left: 6 (22 enodes) 1540202358.834 * * [misc]simplify: iters left: 5 (37 enodes) 1540202358.842 * * [misc]simplify: iters left: 4 (67 enodes) 1540202358.863 * * [misc]simplify: iters left: 3 (171 enodes) 1540202358.952 * [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)))))) 1540202358.952 * [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)))))))) 1540202358.952 * [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)))))) 1540202358.953 * * [misc]simplify: iters left: 6 (20 enodes) 1540202358.957 * * [misc]simplify: iters left: 5 (29 enodes) 1540202358.964 * * [misc]simplify: iters left: 4 (48 enodes) 1540202358.976 * * [misc]simplify: iters left: 3 (96 enodes) 1540202359.005 * * [misc]simplify: iters left: 2 (183 enodes) 1540202359.071 * * [misc]simplify: iters left: 1 (321 enodes) 1540202359.240 * [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)))))) 1540202359.240 * [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)))))))) 1540202359.240 * * * * [misc]progress: [ 1457 / 6878 ] simplifiying candidate # 1540202359.240 * [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)))))) 1540202359.240 * * [misc]simplify: iters left: 6 (21 enodes) 1540202359.246 * * [misc]simplify: iters left: 5 (34 enodes) 1540202359.254 * * [misc]simplify: iters left: 4 (58 enodes) 1540202359.270 * * [misc]simplify: iters left: 3 (139 enodes) 1540202359.320 * * [misc]simplify: iters left: 2 (339 enodes) 1540202359.513 * [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)))))) 1540202359.513 * [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)))))))) 1540202359.513 * [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)))))) 1540202359.513 * * [misc]simplify: iters left: 6 (20 enodes) 1540202359.521 * * [misc]simplify: iters left: 5 (29 enodes) 1540202359.527 * * [misc]simplify: iters left: 4 (48 enodes) 1540202359.539 * * [misc]simplify: iters left: 3 (96 enodes) 1540202359.568 * * [misc]simplify: iters left: 2 (183 enodes) 1540202359.633 * * [misc]simplify: iters left: 1 (321 enodes) 1540202359.800 * [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)))))) 1540202359.800 * [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)))))))) 1540202359.800 * * * * [misc]progress: [ 1458 / 6878 ] simplifiying candidate # 1540202359.800 * [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)) 1540202359.800 * * [misc]simplify: iters left: 6 (19 enodes) 1540202359.807 * * [misc]simplify: iters left: 5 (32 enodes) 1540202359.815 * * [misc]simplify: iters left: 4 (59 enodes) 1540202359.830 * * [misc]simplify: iters left: 3 (98 enodes) 1540202359.862 * * [misc]simplify: iters left: 2 (228 enodes) 1540202360.035 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202360.035 * [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))))))) 1540202360.036 * [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))))) 1540202360.036 * * [misc]simplify: iters left: 6 (19 enodes) 1540202360.040 * * [misc]simplify: iters left: 5 (28 enodes) 1540202360.047 * * [misc]simplify: iters left: 4 (47 enodes) 1540202360.059 * * [misc]simplify: iters left: 3 (95 enodes) 1540202360.087 * * [misc]simplify: iters left: 2 (182 enodes) 1540202360.152 * * [misc]simplify: iters left: 1 (317 enodes) 1540202360.318 * [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)))))) 1540202360.318 * [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)))))))) 1540202360.318 * * * * [misc]progress: [ 1459 / 6878 ] simplifiying candidate # 1540202360.319 * [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))) 1540202360.319 * * [misc]simplify: iters left: 6 (17 enodes) 1540202360.324 * * [misc]simplify: iters left: 5 (31 enodes) 1540202360.332 * * [misc]simplify: iters left: 4 (47 enodes) 1540202360.345 * * [misc]simplify: iters left: 3 (97 enodes) 1540202360.377 * * [misc]simplify: iters left: 2 (187 enodes) 1540202360.458 * * [misc]simplify: iters left: 1 (325 enodes) 1540202360.660 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202360.660 * [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))))))) 1540202360.660 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202360.660 * * [misc]simplify: iters left: 6 (18 enodes) 1540202360.665 * * [misc]simplify: iters left: 5 (27 enodes) 1540202360.671 * * [misc]simplify: iters left: 4 (45 enodes) 1540202360.683 * * [misc]simplify: iters left: 3 (90 enodes) 1540202360.711 * * [misc]simplify: iters left: 2 (155 enodes) 1540202360.762 * * [misc]simplify: iters left: 1 (239 enodes) 1540202360.852 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202360.852 * [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))))))) 1540202360.852 * * * * [misc]progress: [ 1460 / 6878 ] simplifiying candidate # 1540202360.853 * [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))) 1540202360.853 * * [misc]simplify: iters left: 6 (17 enodes) 1540202360.858 * * [misc]simplify: iters left: 5 (31 enodes) 1540202360.866 * * [misc]simplify: iters left: 4 (47 enodes) 1540202360.879 * * [misc]simplify: iters left: 3 (97 enodes) 1540202360.913 * * [misc]simplify: iters left: 2 (187 enodes) 1540202360.987 * * [misc]simplify: iters left: 1 (325 enodes) 1540202361.108 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540202361.108 * [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))))))) 1540202361.108 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202361.108 * * [misc]simplify: iters left: 6 (18 enodes) 1540202361.111 * * [misc]simplify: iters left: 5 (27 enodes) 1540202361.115 * * [misc]simplify: iters left: 4 (45 enodes) 1540202361.121 * * [misc]simplify: iters left: 3 (90 enodes) 1540202361.137 * * [misc]simplify: iters left: 2 (155 enodes) 1540202361.169 * * [misc]simplify: iters left: 1 (239 enodes) 1540202361.222 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202361.222 * [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))))))) 1540202361.222 * * * * [misc]progress: [ 1461 / 6878 ] simplifiying candidate # 1540202361.223 * [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))))))) 1540202361.223 * * [misc]simplify: iters left: 6 (19 enodes) 1540202361.225 * * [misc]simplify: iters left: 5 (34 enodes) 1540202361.230 * * [misc]simplify: iters left: 4 (56 enodes) 1540202361.240 * * [misc]simplify: iters left: 3 (125 enodes) 1540202361.270 * * [misc]simplify: iters left: 2 (322 enodes) 1540202361.411 * [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))) 1540202361.411 * [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)))))))) 1540202361.411 * [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)))))) 1540202361.411 * * [misc]simplify: iters left: 6 (19 enodes) 1540202361.414 * * [misc]simplify: iters left: 5 (28 enodes) 1540202361.418 * * [misc]simplify: iters left: 4 (46 enodes) 1540202361.424 * * [misc]simplify: iters left: 3 (91 enodes) 1540202361.440 * * [misc]simplify: iters left: 2 (156 enodes) 1540202361.472 * * [misc]simplify: iters left: 1 (239 enodes) 1540202361.526 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202361.526 * [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)))))))) 1540202361.526 * * * * [misc]progress: [ 1462 / 6878 ] simplifiying candidate # 1540202361.526 * [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)))))) 1540202361.526 * * [misc]simplify: iters left: 6 (18 enodes) 1540202361.529 * * [misc]simplify: iters left: 5 (31 enodes) 1540202361.533 * * [misc]simplify: iters left: 4 (47 enodes) 1540202361.541 * * [misc]simplify: iters left: 3 (97 enodes) 1540202361.560 * * [misc]simplify: iters left: 2 (190 enodes) 1540202361.608 * * [misc]simplify: iters left: 1 (375 enodes) 1540202361.836 * [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)))))) 1540202361.836 * [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)))))))) 1540202361.836 * [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)))))) 1540202361.836 * * [misc]simplify: iters left: 6 (19 enodes) 1540202361.839 * * [misc]simplify: iters left: 5 (28 enodes) 1540202361.842 * * [misc]simplify: iters left: 4 (46 enodes) 1540202361.851 * * [misc]simplify: iters left: 3 (91 enodes) 1540202361.867 * * [misc]simplify: iters left: 2 (156 enodes) 1540202361.898 * * [misc]simplify: iters left: 1 (239 enodes) 1540202361.951 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202361.951 * [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)))))))) 1540202361.951 * * * * [misc]progress: [ 1463 / 6878 ] simplifiying candidate # 1540202361.951 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540202361.952 * * [misc]simplify: iters left: 6 (16 enodes) 1540202361.954 * * [misc]simplify: iters left: 5 (27 enodes) 1540202361.958 * * [misc]simplify: iters left: 4 (37 enodes) 1540202361.962 * * [misc]simplify: iters left: 3 (43 enodes) 1540202361.967 * * [misc]simplify: iters left: 2 (48 enodes) 1540202361.974 * * [misc]simplify: iters left: 1 (64 enodes) 1540202361.985 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540202361.985 * [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))))))) 1540202361.986 * [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))))) 1540202361.986 * * [misc]simplify: iters left: 6 (18 enodes) 1540202361.989 * * [misc]simplify: iters left: 5 (27 enodes) 1540202361.993 * * [misc]simplify: iters left: 4 (45 enodes) 1540202361.999 * * [misc]simplify: iters left: 3 (90 enodes) 1540202362.015 * * [misc]simplify: iters left: 2 (155 enodes) 1540202362.047 * * [misc]simplify: iters left: 1 (239 enodes) 1540202362.100 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202362.100 * [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)))))))) 1540202362.100 * * * * [misc]progress: [ 1464 / 6878 ] simplifiying candidate # 1540202362.100 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1) 1540202362.100 * * [misc]simplify: iters left: 6 (15 enodes) 1540202362.102 * * [misc]simplify: iters left: 5 (26 enodes) 1540202362.106 * * [misc]simplify: iters left: 4 (38 enodes) 1540202362.111 * * [misc]simplify: iters left: 3 (46 enodes) 1540202362.116 * * [misc]simplify: iters left: 2 (54 enodes) 1540202362.123 * * [misc]simplify: iters left: 1 (82 enodes) 1540202362.137 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202362.137 * [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))))))) 1540202362.137 * [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))))) 1540202362.137 * * [misc]simplify: iters left: 6 (18 enodes) 1540202362.140 * * [misc]simplify: iters left: 5 (27 enodes) 1540202362.143 * * [misc]simplify: iters left: 4 (45 enodes) 1540202362.150 * * [misc]simplify: iters left: 3 (90 enodes) 1540202362.167 * * [misc]simplify: iters left: 2 (155 enodes) 1540202362.198 * * [misc]simplify: iters left: 1 (239 enodes) 1540202362.251 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202362.251 * [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)))))))) 1540202362.251 * * * * [misc]progress: [ 1465 / 6878 ] simplifiying candidate # 1540202362.251 * [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))) 1540202362.251 * * [misc]simplify: iters left: 6 (17 enodes) 1540202362.254 * * [misc]simplify: iters left: 5 (28 enodes) 1540202362.257 * * [misc]simplify: iters left: 4 (44 enodes) 1540202362.264 * * [misc]simplify: iters left: 3 (95 enodes) 1540202362.282 * * [misc]simplify: iters left: 2 (170 enodes) 1540202362.312 * * [misc]simplify: iters left: 1 (311 enodes) 1540202362.431 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540202362.431 * [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))))))) 1540202362.432 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202362.432 * * [misc]simplify: iters left: 6 (19 enodes) 1540202362.434 * * [misc]simplify: iters left: 5 (30 enodes) 1540202362.439 * * [misc]simplify: iters left: 4 (47 enodes) 1540202362.446 * * [misc]simplify: iters left: 3 (99 enodes) 1540202362.465 * * [misc]simplify: iters left: 2 (206 enodes) 1540202362.527 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202362.527 * [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))))))) 1540202362.527 * * * * [misc]progress: [ 1466 / 6878 ] simplifiying candidate # 1540202362.527 * [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))) 1540202362.527 * * [misc]simplify: iters left: 6 (19 enodes) 1540202362.531 * * [misc]simplify: iters left: 5 (33 enodes) 1540202362.536 * * [misc]simplify: iters left: 4 (57 enodes) 1540202362.546 * * [misc]simplify: iters left: 3 (138 enodes) 1540202362.577 * * [misc]simplify: iters left: 2 (341 enodes) 1540202362.712 * [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)))))) 1540202362.712 * [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))))) 1540202362.712 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202362.712 * * [misc]simplify: iters left: 6 (17 enodes) 1540202362.715 * * [misc]simplify: iters left: 5 (24 enodes) 1540202362.718 * * [misc]simplify: iters left: 4 (35 enodes) 1540202362.722 * * [misc]simplify: iters left: 3 (50 enodes) 1540202362.729 * * [misc]simplify: iters left: 2 (67 enodes) 1540202362.738 * * [misc]simplify: iters left: 1 (84 enodes) 1540202362.749 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540202362.749 * [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))))))) 1540202362.749 * * * * [misc]progress: [ 1467 / 6878 ] simplifiying candidate # 1540202362.749 * [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))))))) 1540202362.749 * * [misc]simplify: iters left: 6 (20 enodes) 1540202362.752 * * [misc]simplify: iters left: 5 (31 enodes) 1540202362.756 * * [misc]simplify: iters left: 4 (51 enodes) 1540202362.766 * * [misc]simplify: iters left: 3 (94 enodes) 1540202362.781 * * [misc]simplify: iters left: 2 (191 enodes) 1540202362.836 * * [misc]simplify: iters left: 1 (472 enodes) 1540202363.008 * [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)))))) 1540202363.008 * [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)))))))) 1540202363.008 * [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)))))) 1540202363.009 * * [misc]simplify: iters left: 6 (19 enodes) 1540202363.011 * * [misc]simplify: iters left: 5 (26 enodes) 1540202363.014 * * [misc]simplify: iters left: 4 (37 enodes) 1540202363.019 * * [misc]simplify: iters left: 3 (52 enodes) 1540202363.026 * * [misc]simplify: iters left: 2 (69 enodes) 1540202363.035 * * [misc]simplify: iters left: 1 (86 enodes) 1540202363.047 * [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)))))) 1540202363.047 * [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)))))))) 1540202363.047 * * * * [misc]progress: [ 1468 / 6878 ] simplifiying candidate # 1540202363.047 * [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)))))) 1540202363.047 * * [misc]simplify: iters left: 6 (19 enodes) 1540202363.050 * * [misc]simplify: iters left: 5 (28 enodes) 1540202363.053 * * [misc]simplify: iters left: 4 (40 enodes) 1540202363.060 * * [misc]simplify: iters left: 3 (69 enodes) 1540202363.069 * * [misc]simplify: iters left: 2 (95 enodes) 1540202363.082 * * [misc]simplify: iters left: 1 (136 enodes) 1540202363.100 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202363.100 * [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)))))))) 1540202363.101 * [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)))))) 1540202363.101 * * [misc]simplify: iters left: 6 (19 enodes) 1540202363.103 * * [misc]simplify: iters left: 5 (26 enodes) 1540202363.107 * * [misc]simplify: iters left: 4 (37 enodes) 1540202363.111 * * [misc]simplify: iters left: 3 (52 enodes) 1540202363.118 * * [misc]simplify: iters left: 2 (69 enodes) 1540202363.128 * * [misc]simplify: iters left: 1 (86 enodes) 1540202363.139 * [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)))))) 1540202363.139 * [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)))))))) 1540202363.140 * * * * [misc]progress: [ 1469 / 6878 ] simplifiying candidate # 1540202363.140 * [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))) 1540202363.140 * * [misc]simplify: iters left: 6 (20 enodes) 1540202363.144 * * [misc]simplify: iters left: 5 (34 enodes) 1540202363.149 * * [misc]simplify: iters left: 4 (64 enodes) 1540202363.161 * * [misc]simplify: iters left: 3 (163 enodes) 1540202363.199 * * [misc]simplify: iters left: 2 (490 enodes) 1540202363.593 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k))))) 1540202363.593 * [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))))))) 1540202363.593 * [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))))) 1540202363.593 * * [misc]simplify: iters left: 6 (19 enodes) 1540202363.596 * * [misc]simplify: iters left: 5 (28 enodes) 1540202363.599 * * [misc]simplify: iters left: 4 (47 enodes) 1540202363.607 * * [misc]simplify: iters left: 3 (95 enodes) 1540202363.624 * * [misc]simplify: iters left: 2 (182 enodes) 1540202363.662 * * [misc]simplify: iters left: 1 (317 enodes) 1540202363.760 * [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)))))) 1540202363.760 * [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)))))))) 1540202363.760 * * * * [misc]progress: [ 1470 / 6878 ] simplifiying candidate # 1540202363.761 * [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))) 1540202363.761 * * [misc]simplify: iters left: 6 (20 enodes) 1540202363.764 * * [misc]simplify: iters left: 5 (34 enodes) 1540202363.769 * * [misc]simplify: iters left: 4 (64 enodes) 1540202363.781 * * [misc]simplify: iters left: 3 (163 enodes) 1540202363.820 * * [misc]simplify: iters left: 2 (490 enodes) 1540202364.213 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k))))) 1540202364.213 * [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))))))) 1540202364.213 * [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))))) 1540202364.213 * * [misc]simplify: iters left: 6 (19 enodes) 1540202364.216 * * [misc]simplify: iters left: 5 (28 enodes) 1540202364.220 * * [misc]simplify: iters left: 4 (47 enodes) 1540202364.227 * * [misc]simplify: iters left: 3 (95 enodes) 1540202364.244 * * [misc]simplify: iters left: 2 (182 enodes) 1540202364.283 * * [misc]simplify: iters left: 1 (317 enodes) 1540202364.381 * [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)))))) 1540202364.381 * [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)))))))) 1540202364.381 * * * * [misc]progress: [ 1471 / 6878 ] simplifiying candidate # 1540202364.381 * [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))))))) 1540202364.381 * * [misc]simplify: iters left: 6 (22 enodes) 1540202364.385 * * [misc]simplify: iters left: 5 (39 enodes) 1540202364.390 * * [misc]simplify: iters left: 4 (89 enodes) 1540202364.409 * * [misc]simplify: iters left: 3 (253 enodes) 1540202364.497 * [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))))))) 1540202364.497 * [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)))))))) 1540202364.498 * [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)))))) 1540202364.498 * * [misc]simplify: iters left: 6 (20 enodes) 1540202364.501 * * [misc]simplify: iters left: 5 (29 enodes) 1540202364.507 * * [misc]simplify: iters left: 4 (48 enodes) 1540202364.514 * * [misc]simplify: iters left: 3 (96 enodes) 1540202364.531 * * [misc]simplify: iters left: 2 (183 enodes) 1540202364.570 * * [misc]simplify: iters left: 1 (321 enodes) 1540202364.669 * [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)))))) 1540202364.669 * [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)))))))) 1540202364.670 * * * * [misc]progress: [ 1472 / 6878 ] simplifiying candidate # 1540202364.670 * [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)))))) 1540202364.670 * * [misc]simplify: iters left: 6 (21 enodes) 1540202364.673 * * [misc]simplify: iters left: 5 (34 enodes) 1540202364.679 * * [misc]simplify: iters left: 4 (64 enodes) 1540202364.691 * * [misc]simplify: iters left: 3 (163 enodes) 1540202364.727 * * [misc]simplify: iters left: 2 (491 enodes) 1540202365.068 * [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))))) 1540202365.068 * [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)))))))) 1540202365.068 * [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)))))) 1540202365.068 * * [misc]simplify: iters left: 6 (20 enodes) 1540202365.071 * * [misc]simplify: iters left: 5 (29 enodes) 1540202365.075 * * [misc]simplify: iters left: 4 (48 enodes) 1540202365.082 * * [misc]simplify: iters left: 3 (96 enodes) 1540202365.102 * * [misc]simplify: iters left: 2 (183 enodes) 1540202365.139 * * [misc]simplify: iters left: 1 (321 enodes) 1540202365.239 * [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)))))) 1540202365.239 * [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)))))))) 1540202365.239 * * * * [misc]progress: [ 1473 / 6878 ] simplifiying candidate # 1540202365.240 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202365.240 * * [misc]simplify: iters left: 6 (19 enodes) 1540202365.242 * * [misc]simplify: iters left: 5 (32 enodes) 1540202365.248 * * [misc]simplify: iters left: 4 (63 enodes) 1540202365.259 * * [misc]simplify: iters left: 3 (114 enodes) 1540202365.285 * * [misc]simplify: iters left: 2 (292 enodes) 1540202365.496 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202365.496 * [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))))))) 1540202365.497 * [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))))) 1540202365.497 * * [misc]simplify: iters left: 6 (19 enodes) 1540202365.499 * * [misc]simplify: iters left: 5 (28 enodes) 1540202365.503 * * [misc]simplify: iters left: 4 (47 enodes) 1540202365.510 * * [misc]simplify: iters left: 3 (95 enodes) 1540202365.527 * * [misc]simplify: iters left: 2 (182 enodes) 1540202365.567 * * [misc]simplify: iters left: 1 (317 enodes) 1540202365.665 * [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)))))) 1540202365.665 * [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)))))))) 1540202365.666 * * * * [misc]progress: [ 1474 / 6878 ] simplifiying candidate # 1540202365.666 * [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))) 1540202365.666 * * [misc]simplify: iters left: 6 (20 enodes) 1540202365.670 * * [misc]simplify: iters left: 5 (33 enodes) 1540202365.674 * * [misc]simplify: iters left: 4 (53 enodes) 1540202365.683 * * [misc]simplify: iters left: 3 (104 enodes) 1540202365.702 * * [misc]simplify: iters left: 2 (233 enodes) 1540202365.782 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202365.782 * [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))))))) 1540202365.782 * [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))))) 1540202365.782 * * [misc]simplify: iters left: 6 (20 enodes) 1540202365.785 * * [misc]simplify: iters left: 5 (29 enodes) 1540202365.789 * * [misc]simplify: iters left: 4 (48 enodes) 1540202365.796 * * [misc]simplify: iters left: 3 (96 enodes) 1540202365.813 * * [misc]simplify: iters left: 2 (183 enodes) 1540202365.852 * * [misc]simplify: iters left: 1 (321 enodes) 1540202365.950 * [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)))) 1540202365.950 * [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)))))) 1540202365.951 * * * * [misc]progress: [ 1475 / 6878 ] simplifiying candidate # 1540202365.951 * [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))) 1540202365.951 * * [misc]simplify: iters left: 6 (20 enodes) 1540202365.956 * * [misc]simplify: iters left: 5 (33 enodes) 1540202365.960 * * [misc]simplify: iters left: 4 (53 enodes) 1540202365.969 * * [misc]simplify: iters left: 3 (104 enodes) 1540202365.988 * * [misc]simplify: iters left: 2 (233 enodes) 1540202366.065 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202366.066 * [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))))))) 1540202366.066 * [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))))) 1540202366.066 * * [misc]simplify: iters left: 6 (20 enodes) 1540202366.069 * * [misc]simplify: iters left: 5 (29 enodes) 1540202366.073 * * [misc]simplify: iters left: 4 (48 enodes) 1540202366.082 * * [misc]simplify: iters left: 3 (96 enodes) 1540202366.099 * * [misc]simplify: iters left: 2 (183 enodes) 1540202366.138 * * [misc]simplify: iters left: 1 (321 enodes) 1540202366.236 * [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)))) 1540202366.236 * [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)))))) 1540202366.236 * * * * [misc]progress: [ 1476 / 6878 ] simplifiying candidate # 1540202366.236 * [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))))))) 1540202366.237 * * [misc]simplify: iters left: 6 (22 enodes) 1540202366.240 * * [misc]simplify: iters left: 5 (36 enodes) 1540202366.245 * * [misc]simplify: iters left: 4 (62 enodes) 1540202366.256 * * [misc]simplify: iters left: 3 (136 enodes) 1540202366.285 * * [misc]simplify: iters left: 2 (366 enodes) 1540202366.444 * [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)))))) 1540202366.444 * [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)))))))) 1540202366.444 * [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)))))) 1540202366.444 * * [misc]simplify: iters left: 6 (21 enodes) 1540202366.447 * * [misc]simplify: iters left: 5 (30 enodes) 1540202366.451 * * [misc]simplify: iters left: 4 (49 enodes) 1540202366.458 * * [misc]simplify: iters left: 3 (97 enodes) 1540202366.476 * * [misc]simplify: iters left: 2 (184 enodes) 1540202366.515 * * [misc]simplify: iters left: 1 (321 enodes) 1540202366.614 * [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)))) 1540202366.614 * [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)))))) 1540202366.614 * * * * [misc]progress: [ 1477 / 6878 ] simplifiying candidate # 1540202366.615 * [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)))))) 1540202366.615 * * [misc]simplify: iters left: 6 (21 enodes) 1540202366.618 * * [misc]simplify: iters left: 5 (33 enodes) 1540202366.622 * * [misc]simplify: iters left: 4 (53 enodes) 1540202366.630 * * [misc]simplify: iters left: 3 (104 enodes) 1540202366.648 * * [misc]simplify: iters left: 2 (204 enodes) 1540202366.705 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540202366.705 * [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)))))))) 1540202366.705 * [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)))))) 1540202366.705 * * [misc]simplify: iters left: 6 (21 enodes) 1540202366.708 * * [misc]simplify: iters left: 5 (30 enodes) 1540202366.712 * * [misc]simplify: iters left: 4 (49 enodes) 1540202366.719 * * [misc]simplify: iters left: 3 (97 enodes) 1540202366.739 * * [misc]simplify: iters left: 2 (184 enodes) 1540202366.777 * * [misc]simplify: iters left: 1 (321 enodes) 1540202366.876 * [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)))) 1540202366.876 * [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)))))) 1540202366.876 * * * * [misc]progress: [ 1478 / 6878 ] simplifiying candidate # 1540202366.876 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202366.876 * * [misc]simplify: iters left: 6 (19 enodes) 1540202366.879 * * [misc]simplify: iters left: 5 (30 enodes) 1540202366.884 * * [misc]simplify: iters left: 4 (47 enodes) 1540202366.890 * * [misc]simplify: iters left: 3 (79 enodes) 1540202366.907 * * [misc]simplify: iters left: 2 (145 enodes) 1540202366.967 * * [misc]simplify: iters left: 1 (352 enodes) 1540202367.145 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540202367.145 * [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))))))) 1540202367.146 * [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))))) 1540202367.146 * * [misc]simplify: iters left: 6 (20 enodes) 1540202367.149 * * [misc]simplify: iters left: 5 (29 enodes) 1540202367.153 * * [misc]simplify: iters left: 4 (48 enodes) 1540202367.160 * * [misc]simplify: iters left: 3 (96 enodes) 1540202367.177 * * [misc]simplify: iters left: 2 (183 enodes) 1540202367.216 * * [misc]simplify: iters left: 1 (321 enodes) 1540202367.316 * [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))))) 1540202367.316 * [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))))))) 1540202367.316 * * * * [misc]progress: [ 1479 / 6878 ] simplifiying candidate # 1540202367.316 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202367.316 * * [misc]simplify: iters left: 6 (19 enodes) 1540202367.320 * * [misc]simplify: iters left: 5 (31 enodes) 1540202367.324 * * [misc]simplify: iters left: 4 (51 enodes) 1540202367.333 * * [misc]simplify: iters left: 3 (102 enodes) 1540202367.351 * * [misc]simplify: iters left: 2 (232 enodes) 1540202367.436 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202367.436 * [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))))))) 1540202367.436 * [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))))) 1540202367.436 * * [misc]simplify: iters left: 6 (19 enodes) 1540202367.439 * * [misc]simplify: iters left: 5 (28 enodes) 1540202367.443 * * [misc]simplify: iters left: 4 (47 enodes) 1540202367.450 * * [misc]simplify: iters left: 3 (95 enodes) 1540202367.467 * * [misc]simplify: iters left: 2 (182 enodes) 1540202367.506 * * [misc]simplify: iters left: 1 (317 enodes) 1540202367.603 * [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)))))) 1540202367.603 * [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)))))))) 1540202367.603 * * * * [misc]progress: [ 1480 / 6878 ] simplifiying candidate # 1540202367.603 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202367.603 * * [misc]simplify: iters left: 6 (19 enodes) 1540202367.608 * * [misc]simplify: iters left: 5 (31 enodes) 1540202367.612 * * [misc]simplify: iters left: 4 (51 enodes) 1540202367.621 * * [misc]simplify: iters left: 3 (102 enodes) 1540202367.639 * * [misc]simplify: iters left: 2 (232 enodes) 1540202367.722 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202367.722 * [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))))))) 1540202367.723 * [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))))) 1540202367.723 * * [misc]simplify: iters left: 6 (19 enodes) 1540202367.725 * * [misc]simplify: iters left: 5 (28 enodes) 1540202367.731 * * [misc]simplify: iters left: 4 (47 enodes) 1540202367.738 * * [misc]simplify: iters left: 3 (95 enodes) 1540202367.755 * * [misc]simplify: iters left: 2 (182 enodes) 1540202367.794 * * [misc]simplify: iters left: 1 (317 enodes) 1540202367.891 * [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)))))) 1540202367.891 * [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)))))))) 1540202367.891 * * * * [misc]progress: [ 1481 / 6878 ] simplifiying candidate # 1540202367.892 * [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))))))) 1540202367.892 * * [misc]simplify: iters left: 6 (21 enodes) 1540202367.895 * * [misc]simplify: iters left: 5 (34 enodes) 1540202367.899 * * [misc]simplify: iters left: 4 (60 enodes) 1540202367.911 * * [misc]simplify: iters left: 3 (134 enodes) 1540202367.938 * * [misc]simplify: iters left: 2 (374 enodes) 1540202368.118 * [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)))))) 1540202368.118 * [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)))))))) 1540202368.118 * [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)))))) 1540202368.118 * * [misc]simplify: iters left: 6 (20 enodes) 1540202368.121 * * [misc]simplify: iters left: 5 (29 enodes) 1540202368.125 * * [misc]simplify: iters left: 4 (48 enodes) 1540202368.132 * * [misc]simplify: iters left: 3 (96 enodes) 1540202368.151 * * [misc]simplify: iters left: 2 (183 enodes) 1540202368.189 * * [misc]simplify: iters left: 1 (321 enodes) 1540202368.290 * [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)))))) 1540202368.290 * [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)))))))) 1540202368.290 * * * * [misc]progress: [ 1482 / 6878 ] simplifiying candidate # 1540202368.290 * [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)))))) 1540202368.290 * * [misc]simplify: iters left: 6 (20 enodes) 1540202368.293 * * [misc]simplify: iters left: 5 (31 enodes) 1540202368.297 * * [misc]simplify: iters left: 4 (51 enodes) 1540202368.305 * * [misc]simplify: iters left: 3 (102 enodes) 1540202368.324 * * [misc]simplify: iters left: 2 (231 enodes) 1540202368.399 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202368.399 * [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)))))))) 1540202368.400 * [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)))))) 1540202368.400 * * [misc]simplify: iters left: 6 (20 enodes) 1540202368.402 * * [misc]simplify: iters left: 5 (29 enodes) 1540202368.406 * * [misc]simplify: iters left: 4 (48 enodes) 1540202368.413 * * [misc]simplify: iters left: 3 (96 enodes) 1540202368.431 * * [misc]simplify: iters left: 2 (183 enodes) 1540202368.470 * * [misc]simplify: iters left: 1 (321 enodes) 1540202368.571 * [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)))))) 1540202368.571 * [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)))))))) 1540202368.571 * * * * [misc]progress: [ 1483 / 6878 ] simplifiying candidate # 1540202368.571 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202368.571 * * [misc]simplify: iters left: 6 (18 enodes) 1540202368.574 * * [misc]simplify: iters left: 5 (29 enodes) 1540202368.578 * * [misc]simplify: iters left: 4 (52 enodes) 1540202368.585 * * [misc]simplify: iters left: 3 (75 enodes) 1540202368.597 * * [misc]simplify: iters left: 2 (124 enodes) 1540202368.629 * * [misc]simplify: iters left: 1 (219 enodes) 1540202368.718 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202368.719 * [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))))))) 1540202368.719 * [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))))) 1540202368.719 * * [misc]simplify: iters left: 6 (19 enodes) 1540202368.721 * * [misc]simplify: iters left: 5 (28 enodes) 1540202368.725 * * [misc]simplify: iters left: 4 (47 enodes) 1540202368.732 * * [misc]simplify: iters left: 3 (95 enodes) 1540202368.750 * * [misc]simplify: iters left: 2 (182 enodes) 1540202368.788 * * [misc]simplify: iters left: 1 (317 enodes) 1540202368.886 * [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)))))) 1540202368.886 * [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)))))))) 1540202368.886 * * * * [misc]progress: [ 1484 / 6878 ] simplifiying candidate # 1540202368.887 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202368.887 * * [misc]simplify: iters left: 6 (17 enodes) 1540202368.890 * * [misc]simplify: iters left: 5 (29 enodes) 1540202368.894 * * [misc]simplify: iters left: 4 (42 enodes) 1540202368.902 * * [misc]simplify: iters left: 3 (85 enodes) 1540202368.917 * * [misc]simplify: iters left: 2 (119 enodes) 1540202368.934 * * [misc]simplify: iters left: 1 (171 enodes) 1540202368.965 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202368.965 * [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))))))) 1540202368.965 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202368.966 * * [misc]simplify: iters left: 6 (18 enodes) 1540202368.968 * * [misc]simplify: iters left: 5 (27 enodes) 1540202368.972 * * [misc]simplify: iters left: 4 (45 enodes) 1540202368.980 * * [misc]simplify: iters left: 3 (90 enodes) 1540202368.996 * * [misc]simplify: iters left: 2 (155 enodes) 1540202369.026 * * [misc]simplify: iters left: 1 (239 enodes) 1540202369.080 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202369.080 * [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))))))) 1540202369.080 * * * * [misc]progress: [ 1485 / 6878 ] simplifiying candidate # 1540202369.080 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202369.080 * * [misc]simplify: iters left: 6 (17 enodes) 1540202369.083 * * [misc]simplify: iters left: 5 (29 enodes) 1540202369.088 * * [misc]simplify: iters left: 4 (42 enodes) 1540202369.095 * * [misc]simplify: iters left: 3 (85 enodes) 1540202369.110 * * [misc]simplify: iters left: 2 (119 enodes) 1540202369.127 * * [misc]simplify: iters left: 1 (171 enodes) 1540202369.158 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202369.158 * [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))))))) 1540202369.158 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202369.158 * * [misc]simplify: iters left: 6 (18 enodes) 1540202369.161 * * [misc]simplify: iters left: 5 (27 enodes) 1540202369.166 * * [misc]simplify: iters left: 4 (45 enodes) 1540202369.173 * * [misc]simplify: iters left: 3 (90 enodes) 1540202369.188 * * [misc]simplify: iters left: 2 (155 enodes) 1540202369.219 * * [misc]simplify: iters left: 1 (239 enodes) 1540202369.272 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202369.272 * [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))))))) 1540202369.272 * * * * [misc]progress: [ 1486 / 6878 ] simplifiying candidate # 1540202369.272 * [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))))))) 1540202369.273 * * [misc]simplify: iters left: 6 (19 enodes) 1540202369.276 * * [misc]simplify: iters left: 5 (32 enodes) 1540202369.280 * * [misc]simplify: iters left: 4 (53 enodes) 1540202369.291 * * [misc]simplify: iters left: 3 (118 enodes) 1540202369.316 * * [misc]simplify: iters left: 2 (259 enodes) 1540202369.399 * [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)))))) 1540202369.399 * [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)))))))) 1540202369.399 * [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)))))) 1540202369.399 * * [misc]simplify: iters left: 6 (19 enodes) 1540202369.402 * * [misc]simplify: iters left: 5 (28 enodes) 1540202369.406 * * [misc]simplify: iters left: 4 (46 enodes) 1540202369.414 * * [misc]simplify: iters left: 3 (91 enodes) 1540202369.430 * * [misc]simplify: iters left: 2 (156 enodes) 1540202369.461 * * [misc]simplify: iters left: 1 (239 enodes) 1540202369.514 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202369.514 * [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)))))))) 1540202369.514 * * * * [misc]progress: [ 1487 / 6878 ] simplifiying candidate # 1540202369.514 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202369.514 * * [misc]simplify: iters left: 6 (18 enodes) 1540202369.517 * * [misc]simplify: iters left: 5 (29 enodes) 1540202369.521 * * [misc]simplify: iters left: 4 (43 enodes) 1540202369.528 * * [misc]simplify: iters left: 3 (93 enodes) 1540202369.544 * * [misc]simplify: iters left: 2 (124 enodes) 1540202369.560 * * [misc]simplify: iters left: 1 (191 enodes) 1540202369.597 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202369.597 * [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)))))))) 1540202369.597 * [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)))))) 1540202369.597 * * [misc]simplify: iters left: 6 (19 enodes) 1540202369.600 * * [misc]simplify: iters left: 5 (28 enodes) 1540202369.604 * * [misc]simplify: iters left: 4 (46 enodes) 1540202369.610 * * [misc]simplify: iters left: 3 (91 enodes) 1540202369.626 * * [misc]simplify: iters left: 2 (156 enodes) 1540202369.658 * * [misc]simplify: iters left: 1 (239 enodes) 1540202369.710 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202369.710 * [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)))))))) 1540202369.710 * * * * [misc]progress: [ 1488 / 6878 ] simplifiying candidate # 1540202369.711 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540202369.711 * * [misc]simplify: iters left: 6 (16 enodes) 1540202369.715 * * [misc]simplify: iters left: 5 (27 enodes) 1540202369.718 * * [misc]simplify: iters left: 4 (35 enodes) 1540202369.722 * * [misc]simplify: iters left: 3 (39 enodes) 1540202369.726 * * [misc]simplify: iters left: 2 (49 enodes) 1540202369.733 * * [misc]simplify: iters left: 1 (58 enodes) 1540202369.741 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) 1540202369.741 * [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))))))) 1540202369.741 * [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))))) 1540202369.741 * * [misc]simplify: iters left: 6 (18 enodes) 1540202369.743 * * [misc]simplify: iters left: 5 (27 enodes) 1540202369.747 * * [misc]simplify: iters left: 4 (45 enodes) 1540202369.754 * * [misc]simplify: iters left: 3 (90 enodes) 1540202369.770 * * [misc]simplify: iters left: 2 (155 enodes) 1540202369.802 * * [misc]simplify: iters left: 1 (239 enodes) 1540202369.855 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202369.855 * [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)))))))) 1540202369.855 * * * * [misc]progress: [ 1489 / 6878 ] simplifiying candidate # 1540202369.856 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202369.856 * * [misc]simplify: iters left: 6 (19 enodes) 1540202369.859 * * [misc]simplify: iters left: 5 (31 enodes) 1540202369.864 * * [misc]simplify: iters left: 4 (51 enodes) 1540202369.872 * * [misc]simplify: iters left: 3 (102 enodes) 1540202369.890 * * [misc]simplify: iters left: 2 (232 enodes) 1540202369.975 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202369.975 * [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))))))) 1540202369.975 * [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))))) 1540202369.975 * * [misc]simplify: iters left: 6 (19 enodes) 1540202369.978 * * [misc]simplify: iters left: 5 (28 enodes) 1540202369.982 * * [misc]simplify: iters left: 4 (47 enodes) 1540202369.989 * * [misc]simplify: iters left: 3 (95 enodes) 1540202370.006 * * [misc]simplify: iters left: 2 (182 enodes) 1540202370.045 * * [misc]simplify: iters left: 1 (317 enodes) 1540202370.144 * [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)))))) 1540202370.144 * [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)))))))) 1540202370.144 * * * * [misc]progress: [ 1490 / 6878 ] simplifiying candidate # 1540202370.144 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202370.144 * * [misc]simplify: iters left: 6 (19 enodes) 1540202370.148 * * [misc]simplify: iters left: 5 (31 enodes) 1540202370.153 * * [misc]simplify: iters left: 4 (51 enodes) 1540202370.161 * * [misc]simplify: iters left: 3 (102 enodes) 1540202370.179 * * [misc]simplify: iters left: 2 (232 enodes) 1540202370.265 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202370.265 * [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))))))) 1540202370.265 * [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))))) 1540202370.265 * * [misc]simplify: iters left: 6 (19 enodes) 1540202370.267 * * [misc]simplify: iters left: 5 (28 enodes) 1540202370.271 * * [misc]simplify: iters left: 4 (47 enodes) 1540202370.278 * * [misc]simplify: iters left: 3 (95 enodes) 1540202370.295 * * [misc]simplify: iters left: 2 (182 enodes) 1540202370.335 * * [misc]simplify: iters left: 1 (317 enodes) 1540202370.433 * [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)))))) 1540202370.433 * [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)))))))) 1540202370.433 * * * * [misc]progress: [ 1491 / 6878 ] simplifiying candidate # 1540202370.433 * [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))))))) 1540202370.433 * * [misc]simplify: iters left: 6 (21 enodes) 1540202370.436 * * [misc]simplify: iters left: 5 (34 enodes) 1540202370.441 * * [misc]simplify: iters left: 4 (60 enodes) 1540202370.451 * * [misc]simplify: iters left: 3 (134 enodes) 1540202370.479 * * [misc]simplify: iters left: 2 (374 enodes) 1540202370.658 * [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)))))) 1540202370.658 * [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)))))))) 1540202370.658 * [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)))))) 1540202370.658 * * [misc]simplify: iters left: 6 (20 enodes) 1540202370.661 * * [misc]simplify: iters left: 5 (29 enodes) 1540202370.665 * * [misc]simplify: iters left: 4 (48 enodes) 1540202370.672 * * [misc]simplify: iters left: 3 (96 enodes) 1540202370.692 * * [misc]simplify: iters left: 2 (183 enodes) 1540202370.730 * * [misc]simplify: iters left: 1 (321 enodes) 1540202370.829 * [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)))))) 1540202370.829 * [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)))))))) 1540202370.830 * * * * [misc]progress: [ 1492 / 6878 ] simplifiying candidate # 1540202370.830 * [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)))))) 1540202370.830 * * [misc]simplify: iters left: 6 (20 enodes) 1540202370.833 * * [misc]simplify: iters left: 5 (31 enodes) 1540202370.837 * * [misc]simplify: iters left: 4 (51 enodes) 1540202370.845 * * [misc]simplify: iters left: 3 (102 enodes) 1540202370.864 * * [misc]simplify: iters left: 2 (231 enodes) 1540202370.940 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202370.940 * [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)))))))) 1540202370.940 * [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)))))) 1540202370.940 * * [misc]simplify: iters left: 6 (20 enodes) 1540202370.943 * * [misc]simplify: iters left: 5 (29 enodes) 1540202370.947 * * [misc]simplify: iters left: 4 (48 enodes) 1540202370.954 * * [misc]simplify: iters left: 3 (96 enodes) 1540202370.973 * * [misc]simplify: iters left: 2 (183 enodes) 1540202371.010 * * [misc]simplify: iters left: 1 (321 enodes) 1540202371.111 * [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)))))) 1540202371.111 * [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)))))))) 1540202371.111 * * * * [misc]progress: [ 1493 / 6878 ] simplifiying candidate # 1540202371.111 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202371.111 * * [misc]simplify: iters left: 6 (18 enodes) 1540202371.114 * * [misc]simplify: iters left: 5 (29 enodes) 1540202371.118 * * [misc]simplify: iters left: 4 (52 enodes) 1540202371.125 * * [misc]simplify: iters left: 3 (75 enodes) 1540202371.137 * * [misc]simplify: iters left: 2 (124 enodes) 1540202371.169 * * [misc]simplify: iters left: 1 (219 enodes) 1540202371.259 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202371.259 * [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))))))) 1540202371.259 * [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))))) 1540202371.259 * * [misc]simplify: iters left: 6 (19 enodes) 1540202371.262 * * [misc]simplify: iters left: 5 (28 enodes) 1540202371.267 * * [misc]simplify: iters left: 4 (47 enodes) 1540202371.274 * * [misc]simplify: iters left: 3 (95 enodes) 1540202371.291 * * [misc]simplify: iters left: 2 (182 enodes) 1540202371.330 * * [misc]simplify: iters left: 1 (317 enodes) 1540202371.427 * [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)))))) 1540202371.427 * [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)))))))) 1540202371.427 * * * * [misc]progress: [ 1494 / 6878 ] simplifiying candidate # 1540202371.427 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202371.427 * * [misc]simplify: iters left: 6 (16 enodes) 1540202371.430 * * [misc]simplify: iters left: 5 (28 enodes) 1540202371.435 * * [misc]simplify: iters left: 4 (40 enodes) 1540202371.443 * * [misc]simplify: iters left: 3 (70 enodes) 1540202371.453 * * [misc]simplify: iters left: 2 (89 enodes) 1540202371.466 * * [misc]simplify: iters left: 1 (137 enodes) 1540202371.490 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202371.490 * [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))))))) 1540202371.490 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202371.490 * * [misc]simplify: iters left: 6 (18 enodes) 1540202371.493 * * [misc]simplify: iters left: 5 (27 enodes) 1540202371.496 * * [misc]simplify: iters left: 4 (45 enodes) 1540202371.503 * * [misc]simplify: iters left: 3 (90 enodes) 1540202371.520 * * [misc]simplify: iters left: 2 (155 enodes) 1540202371.551 * * [misc]simplify: iters left: 1 (239 enodes) 1540202371.604 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202371.604 * [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))))))) 1540202371.604 * * * * [misc]progress: [ 1495 / 6878 ] simplifiying candidate # 1540202371.604 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202371.604 * * [misc]simplify: iters left: 6 (16 enodes) 1540202371.607 * * [misc]simplify: iters left: 5 (28 enodes) 1540202371.611 * * [misc]simplify: iters left: 4 (40 enodes) 1540202371.618 * * [misc]simplify: iters left: 3 (70 enodes) 1540202371.630 * * [misc]simplify: iters left: 2 (89 enodes) 1540202371.643 * * [misc]simplify: iters left: 1 (137 enodes) 1540202371.666 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202371.666 * [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))))))) 1540202371.667 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202371.667 * * [misc]simplify: iters left: 6 (18 enodes) 1540202371.669 * * [misc]simplify: iters left: 5 (27 enodes) 1540202371.673 * * [misc]simplify: iters left: 4 (45 enodes) 1540202371.680 * * [misc]simplify: iters left: 3 (90 enodes) 1540202371.696 * * [misc]simplify: iters left: 2 (155 enodes) 1540202371.727 * * [misc]simplify: iters left: 1 (239 enodes) 1540202371.781 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540202371.781 * [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))))))) 1540202371.781 * * * * [misc]progress: [ 1496 / 6878 ] simplifiying candidate # 1540202371.781 * [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))))))) 1540202371.781 * * [misc]simplify: iters left: 6 (18 enodes) 1540202371.784 * * [misc]simplify: iters left: 5 (31 enodes) 1540202371.788 * * [misc]simplify: iters left: 4 (49 enodes) 1540202371.796 * * [misc]simplify: iters left: 3 (100 enodes) 1540202371.814 * * [misc]simplify: iters left: 2 (178 enodes) 1540202371.859 * * [misc]simplify: iters left: 1 (364 enodes) 1540202372.055 * [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)))))) 1540202372.055 * [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)))))))) 1540202372.055 * [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)))))) 1540202372.055 * * [misc]simplify: iters left: 6 (19 enodes) 1540202372.058 * * [misc]simplify: iters left: 5 (28 enodes) 1540202372.062 * * [misc]simplify: iters left: 4 (46 enodes) 1540202372.068 * * [misc]simplify: iters left: 3 (91 enodes) 1540202372.084 * * [misc]simplify: iters left: 2 (156 enodes) 1540202372.117 * * [misc]simplify: iters left: 1 (239 enodes) 1540202372.170 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202372.170 * [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)))))))) 1540202372.171 * * * * [misc]progress: [ 1497 / 6878 ] simplifiying candidate # 1540202372.171 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202372.172 * * [misc]simplify: iters left: 6 (17 enodes) 1540202372.174 * * [misc]simplify: iters left: 5 (28 enodes) 1540202372.178 * * [misc]simplify: iters left: 4 (40 enodes) 1540202372.184 * * [misc]simplify: iters left: 3 (70 enodes) 1540202372.194 * * [misc]simplify: iters left: 2 (96 enodes) 1540202372.208 * * [misc]simplify: iters left: 1 (171 enodes) 1540202372.249 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540202372.249 * [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)))))))) 1540202372.249 * [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)))))) 1540202372.249 * * [misc]simplify: iters left: 6 (19 enodes) 1540202372.252 * * [misc]simplify: iters left: 5 (28 enodes) 1540202372.256 * * [misc]simplify: iters left: 4 (46 enodes) 1540202372.263 * * [misc]simplify: iters left: 3 (91 enodes) 1540202372.279 * * [misc]simplify: iters left: 2 (156 enodes) 1540202372.310 * * [misc]simplify: iters left: 1 (239 enodes) 1540202372.364 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202372.364 * [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)))))))) 1540202372.364 * * * * [misc]progress: [ 1498 / 6878 ] simplifiying candidate # 1540202372.364 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540202372.364 * * [misc]simplify: iters left: 6 (15 enodes) 1540202372.366 * * [misc]simplify: iters left: 5 (24 enodes) 1540202372.370 * * [misc]simplify: iters left: 4 (31 enodes) 1540202372.373 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202372.373 * [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))))))) 1540202372.373 * [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))))) 1540202372.373 * * [misc]simplify: iters left: 6 (18 enodes) 1540202372.376 * * [misc]simplify: iters left: 5 (27 enodes) 1540202372.380 * * [misc]simplify: iters left: 4 (45 enodes) 1540202372.386 * * [misc]simplify: iters left: 3 (90 enodes) 1540202372.402 * * [misc]simplify: iters left: 2 (155 enodes) 1540202372.434 * * [misc]simplify: iters left: 1 (239 enodes) 1540202372.488 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202372.488 * [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)))))))) 1540202372.488 * * * * [misc]progress: [ 1499 / 6878 ] simplifiying candidate # 1540202372.488 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540202372.488 * * [misc]simplify: iters left: 6 (14 enodes) 1540202372.490 * * [misc]simplify: iters left: 5 (23 enodes) 1540202372.493 * * [misc]simplify: iters left: 4 (30 enodes) 1540202372.497 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202372.497 * [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))))))) 1540202372.497 * [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))))) 1540202372.497 * * [misc]simplify: iters left: 6 (18 enodes) 1540202372.499 * * [misc]simplify: iters left: 5 (27 enodes) 1540202372.503 * * [misc]simplify: iters left: 4 (45 enodes) 1540202372.510 * * [misc]simplify: iters left: 3 (90 enodes) 1540202372.525 * * [misc]simplify: iters left: 2 (155 enodes) 1540202372.557 * * [misc]simplify: iters left: 1 (239 enodes) 1540202372.611 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540202372.611 * [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)))))))) 1540202372.611 * * * * [misc]progress: [ 1500 / 6878 ] simplifiying candidate # 1540202372.611 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540202372.611 * * [misc]simplify: iters left: 6 (16 enodes) 1540202372.613 * * [misc]simplify: iters left: 5 (25 enodes) 1540202372.616 * * [misc]simplify: iters left: 4 (37 enodes) 1540202372.622 * * [misc]simplify: iters left: 3 (67 enodes) 1540202372.631 * * [misc]simplify: iters left: 2 (109 enodes) 1540202372.648 * * [misc]simplify: iters left: 1 (183 enodes) 1540202372.673 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540202372.673 * [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))))))) 1540202372.673 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202372.674 * * [misc]simplify: iters left: 6 (19 enodes) 1540202372.676 * * [misc]simplify: iters left: 5 (30 enodes) 1540202372.680 * * [misc]simplify: iters left: 4 (47 enodes) 1540202372.688 * * [misc]simplify: iters left: 3 (99 enodes) 1540202372.705 * * [misc]simplify: iters left: 2 (206 enodes) 1540202372.766 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202372.767 * [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))))))) 1540202372.767 * * * * [misc]progress: [ 1501 / 6878 ] simplifiying candidate # 1540202372.767 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202372.767 * * [misc]simplify: iters left: 6 (18 enodes) 1540202372.770 * * [misc]simplify: iters left: 5 (30 enodes) 1540202372.775 * * [misc]simplify: iters left: 4 (50 enodes) 1540202372.784 * * [misc]simplify: iters left: 3 (101 enodes) 1540202372.803 * * [misc]simplify: iters left: 2 (232 enodes) 1540202372.887 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202372.887 * [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))))) 1540202372.887 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202372.887 * * [misc]simplify: iters left: 6 (17 enodes) 1540202372.889 * * [misc]simplify: iters left: 5 (24 enodes) 1540202372.893 * * [misc]simplify: iters left: 4 (35 enodes) 1540202372.897 * * [misc]simplify: iters left: 3 (50 enodes) 1540202372.905 * * [misc]simplify: iters left: 2 (67 enodes) 1540202372.914 * * [misc]simplify: iters left: 1 (84 enodes) 1540202372.924 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540202372.924 * [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))))))) 1540202372.924 * * * * [misc]progress: [ 1502 / 6878 ] simplifiying candidate # 1540202372.925 * [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))))))) 1540202372.925 * * [misc]simplify: iters left: 6 (17 enodes) 1540202372.927 * * [misc]simplify: iters left: 5 (26 enodes) 1540202372.930 * * [misc]simplify: iters left: 4 (36 enodes) 1540202372.935 * * [misc]simplify: iters left: 3 (51 enodes) 1540202372.941 * [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))))))) 1540202372.941 * [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)))))))) 1540202372.941 * [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)))))) 1540202372.941 * * [misc]simplify: iters left: 6 (18 enodes) 1540202372.944 * * [misc]simplify: iters left: 5 (25 enodes) 1540202372.947 * * [misc]simplify: iters left: 4 (36 enodes) 1540202372.952 * * [misc]simplify: iters left: 3 (51 enodes) 1540202372.958 * * [misc]simplify: iters left: 2 (68 enodes) 1540202372.968 * * [misc]simplify: iters left: 1 (85 enodes) 1540202372.979 * [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)))))) 1540202372.979 * [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)))))))) 1540202372.979 * * * * [misc]progress: [ 1503 / 6878 ] simplifiying candidate # 1540202372.980 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202372.980 * * [misc]simplify: iters left: 6 (16 enodes) 1540202372.982 * * [misc]simplify: iters left: 5 (23 enodes) 1540202372.985 * * [misc]simplify: iters left: 4 (29 enodes) 1540202372.988 * * [misc]simplify: iters left: 3 (31 enodes) 1540202372.991 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202372.991 * [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)))))))) 1540202372.992 * [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)))))) 1540202372.992 * * [misc]simplify: iters left: 6 (18 enodes) 1540202372.994 * * [misc]simplify: iters left: 5 (25 enodes) 1540202372.997 * * [misc]simplify: iters left: 4 (36 enodes) 1540202373.002 * * [misc]simplify: iters left: 3 (51 enodes) 1540202373.009 * * [misc]simplify: iters left: 2 (68 enodes) 1540202373.017 * * [misc]simplify: iters left: 1 (85 enodes) 1540202373.029 * [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)))))) 1540202373.029 * [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)))))))) 1540202373.029 * * * * [misc]progress: [ 1504 / 6878 ] simplifiying candidate # 1540202373.029 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202373.029 * * [misc]simplify: iters left: 6 (15 enodes) 1540202373.033 * * [misc]simplify: iters left: 5 (25 enodes) 1540202373.036 * * [misc]simplify: iters left: 4 (40 enodes) 1540202373.043 * * [misc]simplify: iters left: 3 (76 enodes) 1540202373.056 * * [misc]simplify: iters left: 2 (150 enodes) 1540202373.087 * * [misc]simplify: iters left: 1 (270 enodes) 1540202373.133 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202373.133 * [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))))))) 1540202373.133 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202373.133 * * [misc]simplify: iters left: 6 (18 enodes) 1540202373.136 * * [misc]simplify: iters left: 5 (27 enodes) 1540202373.139 * * [misc]simplify: iters left: 4 (46 enodes) 1540202373.146 * * [misc]simplify: iters left: 3 (94 enodes) 1540202373.164 * * [misc]simplify: iters left: 2 (181 enodes) 1540202373.202 * * [misc]simplify: iters left: 1 (322 enodes) 1540202373.304 * [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))))) 1540202373.304 * [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))))))) 1540202373.304 * * * * [misc]progress: [ 1505 / 6878 ] simplifiying candidate # 1540202373.304 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202373.305 * * [misc]simplify: iters left: 6 (15 enodes) 1540202373.307 * * [misc]simplify: iters left: 5 (25 enodes) 1540202373.311 * * [misc]simplify: iters left: 4 (40 enodes) 1540202373.318 * * [misc]simplify: iters left: 3 (76 enodes) 1540202373.333 * * [misc]simplify: iters left: 2 (150 enodes) 1540202373.364 * * [misc]simplify: iters left: 1 (270 enodes) 1540202373.410 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202373.410 * [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))))))) 1540202373.410 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202373.411 * * [misc]simplify: iters left: 6 (18 enodes) 1540202373.413 * * [misc]simplify: iters left: 5 (27 enodes) 1540202373.417 * * [misc]simplify: iters left: 4 (46 enodes) 1540202373.424 * * [misc]simplify: iters left: 3 (94 enodes) 1540202373.440 * * [misc]simplify: iters left: 2 (181 enodes) 1540202373.480 * * [misc]simplify: iters left: 1 (322 enodes) 1540202373.643 * [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))))) 1540202373.643 * [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))))))) 1540202373.644 * * * * [misc]progress: [ 1506 / 6878 ] simplifiying candidate # 1540202373.644 * [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))))))) 1540202373.644 * * [misc]simplify: iters left: 6 (19 enodes) 1540202373.649 * * [misc]simplify: iters left: 5 (34 enodes) 1540202373.657 * * [misc]simplify: iters left: 4 (65 enodes) 1540202373.677 * * [misc]simplify: iters left: 3 (153 enodes) 1540202373.738 * * [misc]simplify: iters left: 2 (432 enodes) 1540202374.122 * [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))))) 1540202374.122 * [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)))))))) 1540202374.122 * [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)))))) 1540202374.122 * * [misc]simplify: iters left: 6 (19 enodes) 1540202374.125 * * [misc]simplify: iters left: 5 (28 enodes) 1540202374.129 * * [misc]simplify: iters left: 4 (47 enodes) 1540202374.136 * * [misc]simplify: iters left: 3 (95 enodes) 1540202374.153 * * [misc]simplify: iters left: 2 (182 enodes) 1540202374.193 * * [misc]simplify: iters left: 1 (322 enodes) 1540202374.293 * [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)))))) 1540202374.294 * [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)))))))) 1540202374.294 * * * * [misc]progress: [ 1507 / 6878 ] simplifiying candidate # 1540202374.294 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202374.294 * * [misc]simplify: iters left: 6 (18 enodes) 1540202374.296 * * [misc]simplify: iters left: 5 (29 enodes) 1540202374.301 * * [misc]simplify: iters left: 4 (47 enodes) 1540202374.308 * * [misc]simplify: iters left: 3 (79 enodes) 1540202374.319 * * [misc]simplify: iters left: 2 (152 enodes) 1540202374.355 * * [misc]simplify: iters left: 1 (387 enodes) 1540202374.467 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1540202374.467 * [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)))))))) 1540202374.467 * [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)))))) 1540202374.467 * * [misc]simplify: iters left: 6 (19 enodes) 1540202374.470 * * [misc]simplify: iters left: 5 (28 enodes) 1540202374.474 * * [misc]simplify: iters left: 4 (47 enodes) 1540202374.481 * * [misc]simplify: iters left: 3 (95 enodes) 1540202374.498 * * [misc]simplify: iters left: 2 (182 enodes) 1540202374.537 * * [misc]simplify: iters left: 1 (322 enodes) 1540202374.637 * [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)))))) 1540202374.637 * [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)))))))) 1540202374.637 * * * * [misc]progress: [ 1508 / 6878 ] simplifiying candidate # 1540202374.638 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202374.638 * * [misc]simplify: iters left: 6 (13 enodes) 1540202374.640 * * [misc]simplify: iters left: 5 (22 enodes) 1540202374.643 * * [misc]simplify: iters left: 4 (35 enodes) 1540202374.648 * * [misc]simplify: iters left: 3 (43 enodes) 1540202374.653 * * [misc]simplify: iters left: 2 (61 enodes) 1540202374.664 * * [misc]simplify: iters left: 1 (92 enodes) 1540202374.680 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202374.680 * [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))))))) 1540202374.680 * [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))))) 1540202374.680 * * [misc]simplify: iters left: 6 (18 enodes) 1540202374.683 * * [misc]simplify: iters left: 5 (27 enodes) 1540202374.686 * * [misc]simplify: iters left: 4 (46 enodes) 1540202374.695 * * [misc]simplify: iters left: 3 (94 enodes) 1540202374.712 * * [misc]simplify: iters left: 2 (181 enodes) 1540202374.749 * * [misc]simplify: iters left: 1 (322 enodes) 1540202374.850 * [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))))) 1540202374.850 * [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))))))) 1540202374.850 * * * * [misc]progress: [ 1509 / 6878 ] simplifiying candidate # 1540202374.851 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202374.851 * * [misc]simplify: iters left: 6 (15 enodes) 1540202374.854 * * [misc]simplify: iters left: 5 (24 enodes) 1540202374.857 * * [misc]simplify: iters left: 4 (34 enodes) 1540202374.862 * * [misc]simplify: iters left: 3 (42 enodes) 1540202374.868 * * [misc]simplify: iters left: 2 (48 enodes) 1540202374.873 * * [misc]simplify: iters left: 1 (61 enodes) 1540202374.880 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540202374.880 * [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))))))) 1540202374.880 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202374.880 * * [misc]simplify: iters left: 6 (19 enodes) 1540202374.883 * * [misc]simplify: iters left: 5 (28 enodes) 1540202374.886 * * [misc]simplify: iters left: 4 (47 enodes) 1540202374.893 * * [misc]simplify: iters left: 3 (95 enodes) 1540202374.910 * * [misc]simplify: iters left: 2 (182 enodes) 1540202374.950 * * [misc]simplify: iters left: 1 (322 enodes) 1540202375.051 * [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)))) 1540202375.051 * [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)))))) 1540202375.051 * * * * [misc]progress: [ 1510 / 6878 ] simplifiying candidate # 1540202375.051 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202375.051 * * [misc]simplify: iters left: 6 (15 enodes) 1540202375.054 * * [misc]simplify: iters left: 5 (24 enodes) 1540202375.058 * * [misc]simplify: iters left: 4 (34 enodes) 1540202375.063 * * [misc]simplify: iters left: 3 (42 enodes) 1540202375.068 * * [misc]simplify: iters left: 2 (48 enodes) 1540202375.073 * * [misc]simplify: iters left: 1 (61 enodes) 1540202375.080 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540202375.080 * [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))))))) 1540202375.080 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202375.081 * * [misc]simplify: iters left: 6 (19 enodes) 1540202375.083 * * [misc]simplify: iters left: 5 (28 enodes) 1540202375.087 * * [misc]simplify: iters left: 4 (47 enodes) 1540202375.094 * * [misc]simplify: iters left: 3 (95 enodes) 1540202375.113 * * [misc]simplify: iters left: 2 (182 enodes) 1540202375.151 * * [misc]simplify: iters left: 1 (322 enodes) 1540202375.252 * [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)))) 1540202375.252 * [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)))))) 1540202375.252 * * * * [misc]progress: [ 1511 / 6878 ] simplifiying candidate # 1540202375.253 * [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))))))) 1540202375.253 * * [misc]simplify: iters left: 6 (19 enodes) 1540202375.255 * * [misc]simplify: iters left: 5 (31 enodes) 1540202375.260 * * [misc]simplify: iters left: 4 (47 enodes) 1540202375.267 * * [misc]simplify: iters left: 3 (73 enodes) 1540202375.277 * * [misc]simplify: iters left: 2 (116 enodes) 1540202375.299 * * [misc]simplify: iters left: 1 (237 enodes) 1540202375.388 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202375.388 * [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)))))))) 1540202375.389 * [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)))))) 1540202375.389 * * [misc]simplify: iters left: 6 (20 enodes) 1540202375.391 * * [misc]simplify: iters left: 5 (29 enodes) 1540202375.395 * * [misc]simplify: iters left: 4 (48 enodes) 1540202375.404 * * [misc]simplify: iters left: 3 (96 enodes) 1540202375.421 * * [misc]simplify: iters left: 2 (183 enodes) 1540202375.461 * * [misc]simplify: iters left: 1 (327 enodes) 1540202375.564 * [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)))))) 1540202375.564 * [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)))))))) 1540202375.564 * * * * [misc]progress: [ 1512 / 6878 ] simplifiying candidate # 1540202375.564 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202375.564 * * [misc]simplify: iters left: 6 (18 enodes) 1540202375.567 * * [misc]simplify: iters left: 5 (28 enodes) 1540202375.570 * * [misc]simplify: iters left: 4 (41 enodes) 1540202375.577 * * [misc]simplify: iters left: 3 (49 enodes) 1540202375.582 * * [misc]simplify: iters left: 2 (60 enodes) 1540202375.589 * * [misc]simplify: iters left: 1 (94 enodes) 1540202375.601 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202375.601 * [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)))))))) 1540202375.601 * [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)))))) 1540202375.601 * * [misc]simplify: iters left: 6 (20 enodes) 1540202375.604 * * [misc]simplify: iters left: 5 (29 enodes) 1540202375.608 * * [misc]simplify: iters left: 4 (48 enodes) 1540202375.615 * * [misc]simplify: iters left: 3 (96 enodes) 1540202375.632 * * [misc]simplify: iters left: 2 (183 enodes) 1540202375.672 * * [misc]simplify: iters left: 1 (327 enodes) 1540202375.776 * [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)))))) 1540202375.776 * [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)))))))) 1540202375.777 * * * * [misc]progress: [ 1513 / 6878 ] simplifiying candidate # 1540202375.777 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202375.777 * * [misc]simplify: iters left: 6 (13 enodes) 1540202375.779 * * [misc]simplify: iters left: 5 (20 enodes) 1540202375.782 * * [misc]simplify: iters left: 4 (26 enodes) 1540202375.785 * * [misc]simplify: iters left: 3 (34 enodes) 1540202375.789 * * [misc]simplify: iters left: 2 (44 enodes) 1540202375.794 * * [misc]simplify: iters left: 1 (55 enodes) 1540202375.803 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540202375.803 * [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))))))) 1540202375.803 * [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))))) 1540202375.803 * * [misc]simplify: iters left: 6 (19 enodes) 1540202375.806 * * [misc]simplify: iters left: 5 (28 enodes) 1540202375.810 * * [misc]simplify: iters left: 4 (47 enodes) 1540202375.818 * * [misc]simplify: iters left: 3 (95 enodes) 1540202375.835 * * [misc]simplify: iters left: 2 (182 enodes) 1540202375.874 * * [misc]simplify: iters left: 1 (322 enodes) 1540202375.974 * [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))))) 1540202375.974 * [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))))))) 1540202375.974 * * * * [misc]progress: [ 1514 / 6878 ] simplifiying candidate # 1540202375.974 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202375.974 * * [misc]simplify: iters left: 6 (14 enodes) 1540202375.977 * * [misc]simplify: iters left: 5 (22 enodes) 1540202375.980 * * [misc]simplify: iters left: 4 (32 enodes) 1540202375.985 * * [misc]simplify: iters left: 3 (43 enodes) 1540202375.991 * * [misc]simplify: iters left: 2 (51 enodes) 1540202375.997 * * [misc]simplify: iters left: 1 (62 enodes) 1540202376.003 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202376.003 * [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))))))) 1540202376.003 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202376.003 * * [misc]simplify: iters left: 6 (18 enodes) 1540202376.006 * * [misc]simplify: iters left: 5 (27 enodes) 1540202376.010 * * [misc]simplify: iters left: 4 (46 enodes) 1540202376.017 * * [misc]simplify: iters left: 3 (94 enodes) 1540202376.033 * * [misc]simplify: iters left: 2 (181 enodes) 1540202376.073 * * [misc]simplify: iters left: 1 (322 enodes) 1540202376.175 * [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))))) 1540202376.175 * [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))))))) 1540202376.175 * * * * [misc]progress: [ 1515 / 6878 ] simplifiying candidate # 1540202376.175 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202376.175 * * [misc]simplify: iters left: 6 (14 enodes) 1540202376.178 * * [misc]simplify: iters left: 5 (22 enodes) 1540202376.181 * * [misc]simplify: iters left: 4 (32 enodes) 1540202376.186 * * [misc]simplify: iters left: 3 (43 enodes) 1540202376.191 * * [misc]simplify: iters left: 2 (51 enodes) 1540202376.196 * * [misc]simplify: iters left: 1 (62 enodes) 1540202376.203 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202376.203 * [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))))))) 1540202376.203 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202376.203 * * [misc]simplify: iters left: 6 (18 enodes) 1540202376.205 * * [misc]simplify: iters left: 5 (27 enodes) 1540202376.209 * * [misc]simplify: iters left: 4 (46 enodes) 1540202376.216 * * [misc]simplify: iters left: 3 (94 enodes) 1540202376.234 * * [misc]simplify: iters left: 2 (181 enodes) 1540202376.272 * * [misc]simplify: iters left: 1 (322 enodes) 1540202376.374 * [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))))) 1540202376.374 * [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))))))) 1540202376.374 * * * * [misc]progress: [ 1516 / 6878 ] simplifiying candidate # 1540202376.375 * [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))))))) 1540202376.375 * * [misc]simplify: iters left: 6 (18 enodes) 1540202376.377 * * [misc]simplify: iters left: 5 (29 enodes) 1540202376.381 * * [misc]simplify: iters left: 4 (45 enodes) 1540202376.388 * * [misc]simplify: iters left: 3 (79 enodes) 1540202376.401 * * [misc]simplify: iters left: 2 (169 enodes) 1540202376.446 * * [misc]simplify: iters left: 1 (445 enodes) 1540202376.641 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202376.641 * [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)))))))) 1540202376.641 * [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)))))) 1540202376.641 * * [misc]simplify: iters left: 6 (19 enodes) 1540202376.644 * * [misc]simplify: iters left: 5 (28 enodes) 1540202376.647 * * [misc]simplify: iters left: 4 (47 enodes) 1540202376.654 * * [misc]simplify: iters left: 3 (95 enodes) 1540202376.671 * * [misc]simplify: iters left: 2 (182 enodes) 1540202376.711 * * [misc]simplify: iters left: 1 (322 enodes) 1540202376.812 * [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)))))) 1540202376.812 * [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)))))))) 1540202376.812 * * * * [misc]progress: [ 1517 / 6878 ] simplifiying candidate # 1540202376.812 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202376.812 * * [misc]simplify: iters left: 6 (17 enodes) 1540202376.815 * * [misc]simplify: iters left: 5 (26 enodes) 1540202376.818 * * [misc]simplify: iters left: 4 (39 enodes) 1540202376.823 * * [misc]simplify: iters left: 3 (49 enodes) 1540202376.828 * * [misc]simplify: iters left: 2 (62 enodes) 1540202376.836 * * [misc]simplify: iters left: 1 (106 enodes) 1540202376.851 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202376.851 * [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)))))))) 1540202376.851 * [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)))))) 1540202376.851 * * [misc]simplify: iters left: 6 (19 enodes) 1540202376.854 * * [misc]simplify: iters left: 5 (28 enodes) 1540202376.857 * * [misc]simplify: iters left: 4 (47 enodes) 1540202376.864 * * [misc]simplify: iters left: 3 (95 enodes) 1540202376.883 * * [misc]simplify: iters left: 2 (182 enodes) 1540202376.921 * * [misc]simplify: iters left: 1 (322 enodes) 1540202377.021 * [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)))))) 1540202377.021 * [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)))))))) 1540202377.021 * * * * [misc]progress: [ 1518 / 6878 ] simplifiying candidate # 1540202377.021 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202377.021 * * [misc]simplify: iters left: 6 (12 enodes) 1540202377.023 * * [misc]simplify: iters left: 5 (19 enodes) 1540202377.026 * * [misc]simplify: iters left: 4 (27 enodes) 1540202377.029 * * [misc]simplify: iters left: 3 (31 enodes) 1540202377.032 * * [misc]simplify: iters left: 2 (37 enodes) 1540202377.036 * * [misc]simplify: iters left: 1 (44 enodes) 1540202377.043 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202377.044 * [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))))))) 1540202377.044 * [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))))) 1540202377.044 * * [misc]simplify: iters left: 6 (18 enodes) 1540202377.046 * * [misc]simplify: iters left: 5 (27 enodes) 1540202377.050 * * [misc]simplify: iters left: 4 (46 enodes) 1540202377.057 * * [misc]simplify: iters left: 3 (94 enodes) 1540202377.074 * * [misc]simplify: iters left: 2 (181 enodes) 1540202377.113 * * [misc]simplify: iters left: 1 (322 enodes) 1540202377.214 * [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))))) 1540202377.214 * [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))))))) 1540202377.215 * * * * [misc]progress: [ 1519 / 6878 ] simplifiying candidate # 1540202377.216 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202377.216 * * [misc]simplify: iters left: 6 (11 enodes) 1540202377.218 * * [misc]simplify: iters left: 5 (19 enodes) 1540202377.221 * * [misc]simplify: iters left: 4 (24 enodes) 1540202377.224 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202377.224 * [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))))))) 1540202377.224 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202377.224 * * [misc]simplify: iters left: 6 (17 enodes) 1540202377.227 * * [misc]simplify: iters left: 5 (26 enodes) 1540202377.230 * * [misc]simplify: iters left: 4 (44 enodes) 1540202377.237 * * [misc]simplify: iters left: 3 (89 enodes) 1540202377.252 * * [misc]simplify: iters left: 2 (154 enodes) 1540202377.284 * * [misc]simplify: iters left: 1 (238 enodes) 1540202377.338 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202377.338 * [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)))))) 1540202377.339 * * * * [misc]progress: [ 1520 / 6878 ] simplifiying candidate # 1540202377.339 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202377.339 * * [misc]simplify: iters left: 6 (11 enodes) 1540202377.341 * * [misc]simplify: iters left: 5 (19 enodes) 1540202377.344 * * [misc]simplify: iters left: 4 (24 enodes) 1540202377.347 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202377.347 * [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))))))) 1540202377.347 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202377.347 * * [misc]simplify: iters left: 6 (17 enodes) 1540202377.350 * * [misc]simplify: iters left: 5 (26 enodes) 1540202377.353 * * [misc]simplify: iters left: 4 (44 enodes) 1540202377.360 * * [misc]simplify: iters left: 3 (89 enodes) 1540202377.375 * * [misc]simplify: iters left: 2 (154 enodes) 1540202377.407 * * [misc]simplify: iters left: 1 (238 enodes) 1540202377.462 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202377.462 * [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)))))) 1540202377.462 * * * * [misc]progress: [ 1521 / 6878 ] simplifiying candidate # 1540202377.462 * [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))))))) 1540202377.462 * * [misc]simplify: iters left: 6 (16 enodes) 1540202377.465 * * [misc]simplify: iters left: 5 (27 enodes) 1540202377.469 * * [misc]simplify: iters left: 4 (39 enodes) 1540202377.474 * * [misc]simplify: iters left: 3 (53 enodes) 1540202377.480 * * [misc]simplify: iters left: 2 (73 enodes) 1540202377.490 * * [misc]simplify: iters left: 1 (128 enodes) 1540202377.514 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202377.514 * [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)))))))) 1540202377.514 * [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)))))) 1540202377.514 * * [misc]simplify: iters left: 6 (18 enodes) 1540202377.516 * * [misc]simplify: iters left: 5 (27 enodes) 1540202377.520 * * [misc]simplify: iters left: 4 (45 enodes) 1540202377.528 * * [misc]simplify: iters left: 3 (90 enodes) 1540202377.544 * * [misc]simplify: iters left: 2 (155 enodes) 1540202377.574 * * [misc]simplify: iters left: 1 (239 enodes) 1540202377.628 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202377.628 * [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))))))) 1540202377.628 * * * * [misc]progress: [ 1522 / 6878 ] simplifiying candidate # 1540202377.628 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202377.628 * * [misc]simplify: iters left: 6 (15 enodes) 1540202377.631 * * [misc]simplify: iters left: 5 (24 enodes) 1540202377.634 * * [misc]simplify: iters left: 4 (31 enodes) 1540202377.637 * * [misc]simplify: iters left: 3 (32 enodes) 1540202377.640 * * [misc]simplify: iters left: 2 (34 enodes) 1540202377.643 * * [misc]simplify: iters left: 1 (39 enodes) 1540202377.648 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) 1540202377.648 * [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)))))))) 1540202377.649 * [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)))))) 1540202377.649 * * [misc]simplify: iters left: 6 (18 enodes) 1540202377.651 * * [misc]simplify: iters left: 5 (27 enodes) 1540202377.655 * * [misc]simplify: iters left: 4 (45 enodes) 1540202377.662 * * [misc]simplify: iters left: 3 (90 enodes) 1540202377.678 * * [misc]simplify: iters left: 2 (155 enodes) 1540202377.709 * * [misc]simplify: iters left: 1 (239 enodes) 1540202377.762 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202377.762 * [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))))))) 1540202377.762 * * * * [misc]progress: [ 1523 / 6878 ] simplifiying candidate # 1540202377.762 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt 1) 1)) 1540202377.762 * * [misc]simplify: iters left: 6 (9 enodes) 1540202377.764 * * [misc]simplify: iters left: 5 (16 enodes) 1540202377.767 * [exit]simplify: Simplified to (sqrt PI) 1540202377.767 * [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))))))) 1540202377.767 * [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))))) 1540202377.767 * * [misc]simplify: iters left: 6 (17 enodes) 1540202377.770 * * [misc]simplify: iters left: 5 (26 enodes) 1540202377.773 * * [misc]simplify: iters left: 4 (44 enodes) 1540202377.780 * * [misc]simplify: iters left: 3 (89 enodes) 1540202377.795 * * [misc]simplify: iters left: 2 (154 enodes) 1540202377.826 * * [misc]simplify: iters left: 1 (238 enodes) 1540202377.880 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540202377.880 * [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))))))) 1540202377.880 * * * * [misc]progress: [ 1524 / 6878 ] simplifiying candidate # 1540202377.881 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202377.881 * * [misc]simplify: iters left: 6 (14 enodes) 1540202377.883 * * [misc]simplify: iters left: 5 (22 enodes) 1540202377.887 * * [misc]simplify: iters left: 4 (32 enodes) 1540202377.892 * * [misc]simplify: iters left: 3 (43 enodes) 1540202377.897 * * [misc]simplify: iters left: 2 (51 enodes) 1540202377.903 * * [misc]simplify: iters left: 1 (62 enodes) 1540202377.909 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202377.909 * [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))))))) 1540202377.909 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202377.910 * * [misc]simplify: iters left: 6 (18 enodes) 1540202377.912 * * [misc]simplify: iters left: 5 (27 enodes) 1540202377.916 * * [misc]simplify: iters left: 4 (46 enodes) 1540202377.923 * * [misc]simplify: iters left: 3 (94 enodes) 1540202377.940 * * [misc]simplify: iters left: 2 (181 enodes) 1540202377.979 * * [misc]simplify: iters left: 1 (322 enodes) 1540202378.081 * [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))))) 1540202378.081 * [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))))))) 1540202378.081 * * * * [misc]progress: [ 1525 / 6878 ] simplifiying candidate # 1540202378.082 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202378.082 * * [misc]simplify: iters left: 6 (14 enodes) 1540202378.084 * * [misc]simplify: iters left: 5 (22 enodes) 1540202378.087 * * [misc]simplify: iters left: 4 (32 enodes) 1540202378.092 * * [misc]simplify: iters left: 3 (43 enodes) 1540202378.097 * * [misc]simplify: iters left: 2 (51 enodes) 1540202378.103 * * [misc]simplify: iters left: 1 (62 enodes) 1540202378.109 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540202378.110 * [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))))))) 1540202378.110 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202378.110 * * [misc]simplify: iters left: 6 (18 enodes) 1540202378.112 * * [misc]simplify: iters left: 5 (27 enodes) 1540202378.116 * * [misc]simplify: iters left: 4 (46 enodes) 1540202378.123 * * [misc]simplify: iters left: 3 (94 enodes) 1540202378.142 * * [misc]simplify: iters left: 2 (181 enodes) 1540202378.179 * * [misc]simplify: iters left: 1 (322 enodes) 1540202378.281 * [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))))) 1540202378.281 * [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))))))) 1540202378.281 * * * * [misc]progress: [ 1526 / 6878 ] simplifiying candidate # 1540202378.281 * [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))))))) 1540202378.281 * * [misc]simplify: iters left: 6 (18 enodes) 1540202378.284 * * [misc]simplify: iters left: 5 (29 enodes) 1540202378.288 * * [misc]simplify: iters left: 4 (45 enodes) 1540202378.295 * * [misc]simplify: iters left: 3 (79 enodes) 1540202378.308 * * [misc]simplify: iters left: 2 (169 enodes) 1540202378.353 * * [misc]simplify: iters left: 1 (445 enodes) 1540202378.547 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202378.547 * [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)))))))) 1540202378.547 * [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)))))) 1540202378.547 * * [misc]simplify: iters left: 6 (19 enodes) 1540202378.550 * * [misc]simplify: iters left: 5 (28 enodes) 1540202378.553 * * [misc]simplify: iters left: 4 (47 enodes) 1540202378.560 * * [misc]simplify: iters left: 3 (95 enodes) 1540202378.577 * * [misc]simplify: iters left: 2 (182 enodes) 1540202378.617 * * [misc]simplify: iters left: 1 (322 enodes) 1540202378.718 * [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)))))) 1540202378.718 * [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)))))))) 1540202378.718 * * * * [misc]progress: [ 1527 / 6878 ] simplifiying candidate # 1540202378.718 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202378.718 * * [misc]simplify: iters left: 6 (17 enodes) 1540202378.721 * * [misc]simplify: iters left: 5 (26 enodes) 1540202378.724 * * [misc]simplify: iters left: 4 (39 enodes) 1540202378.729 * * [misc]simplify: iters left: 3 (49 enodes) 1540202378.734 * * [misc]simplify: iters left: 2 (62 enodes) 1540202378.742 * * [misc]simplify: iters left: 1 (106 enodes) 1540202378.757 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202378.757 * [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)))))))) 1540202378.757 * [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)))))) 1540202378.757 * * [misc]simplify: iters left: 6 (19 enodes) 1540202378.760 * * [misc]simplify: iters left: 5 (28 enodes) 1540202378.763 * * [misc]simplify: iters left: 4 (47 enodes) 1540202378.772 * * [misc]simplify: iters left: 3 (95 enodes) 1540202378.789 * * [misc]simplify: iters left: 2 (182 enodes) 1540202378.826 * * [misc]simplify: iters left: 1 (322 enodes) 1540202378.927 * [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)))))) 1540202378.927 * [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)))))))) 1540202378.927 * * * * [misc]progress: [ 1528 / 6878 ] simplifiying candidate # 1540202378.927 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202378.927 * * [misc]simplify: iters left: 6 (12 enodes) 1540202378.929 * * [misc]simplify: iters left: 5 (19 enodes) 1540202378.932 * * [misc]simplify: iters left: 4 (27 enodes) 1540202378.935 * * [misc]simplify: iters left: 3 (31 enodes) 1540202378.938 * * [misc]simplify: iters left: 2 (37 enodes) 1540202378.943 * * [misc]simplify: iters left: 1 (44 enodes) 1540202378.949 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202378.949 * [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))))))) 1540202378.949 * [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))))) 1540202378.950 * * [misc]simplify: iters left: 6 (18 enodes) 1540202378.952 * * [misc]simplify: iters left: 5 (27 enodes) 1540202378.956 * * [misc]simplify: iters left: 4 (46 enodes) 1540202378.963 * * [misc]simplify: iters left: 3 (94 enodes) 1540202378.980 * * [misc]simplify: iters left: 2 (181 enodes) 1540202379.019 * * [misc]simplify: iters left: 1 (322 enodes) 1540202379.121 * [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))))) 1540202379.121 * [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))))))) 1540202379.121 * * * * [misc]progress: [ 1529 / 6878 ] simplifiying candidate # 1540202379.121 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 (pow 2 1/2))) 1540202379.121 * * [misc]simplify: iters left: 6 (10 enodes) 1540202379.123 * * [misc]simplify: iters left: 5 (18 enodes) 1540202379.126 * * [misc]simplify: iters left: 4 (22 enodes) 1540202379.129 * * [misc]simplify: iters left: 3 (23 enodes) 1540202379.131 * * [misc]simplify: iters left: 2 (25 enodes) 1540202379.134 * * [misc]simplify: iters left: 1 (30 enodes) 1540202379.137 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202379.137 * [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))))))) 1540202379.138 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202379.138 * * [misc]simplify: iters left: 6 (17 enodes) 1540202379.140 * * [misc]simplify: iters left: 5 (26 enodes) 1540202379.144 * * [misc]simplify: iters left: 4 (44 enodes) 1540202379.150 * * [misc]simplify: iters left: 3 (89 enodes) 1540202379.165 * * [misc]simplify: iters left: 2 (154 enodes) 1540202379.198 * * [misc]simplify: iters left: 1 (238 enodes) 1540202379.252 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202379.252 * [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)))))) 1540202379.253 * * * * [misc]progress: [ 1530 / 6878 ] simplifiying candidate # 1540202379.253 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 (pow 2 1/2))) 1540202379.253 * * [misc]simplify: iters left: 6 (10 enodes) 1540202379.255 * * [misc]simplify: iters left: 5 (18 enodes) 1540202379.258 * * [misc]simplify: iters left: 4 (22 enodes) 1540202379.260 * * [misc]simplify: iters left: 3 (23 enodes) 1540202379.263 * * [misc]simplify: iters left: 2 (25 enodes) 1540202379.265 * * [misc]simplify: iters left: 1 (30 enodes) 1540202379.269 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202379.269 * [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))))))) 1540202379.269 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202379.269 * * [misc]simplify: iters left: 6 (17 enodes) 1540202379.272 * * [misc]simplify: iters left: 5 (26 enodes) 1540202379.275 * * [misc]simplify: iters left: 4 (44 enodes) 1540202379.282 * * [misc]simplify: iters left: 3 (89 enodes) 1540202379.297 * * [misc]simplify: iters left: 2 (154 enodes) 1540202379.329 * * [misc]simplify: iters left: 1 (238 enodes) 1540202379.384 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202379.384 * [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)))))) 1540202379.384 * * * * [misc]progress: [ 1531 / 6878 ] simplifiying candidate # 1540202379.384 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540202379.384 * * [misc]simplify: iters left: 6 (15 enodes) 1540202379.387 * * [misc]simplify: iters left: 5 (26 enodes) 1540202379.391 * * [misc]simplify: iters left: 4 (37 enodes) 1540202379.395 * * [misc]simplify: iters left: 3 (45 enodes) 1540202379.400 * * [misc]simplify: iters left: 2 (51 enodes) 1540202379.406 * * [misc]simplify: iters left: 1 (66 enodes) 1540202379.416 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) 1540202379.417 * [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)))))))) 1540202379.417 * [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)))))) 1540202379.417 * * [misc]simplify: iters left: 6 (18 enodes) 1540202379.419 * * [misc]simplify: iters left: 5 (27 enodes) 1540202379.423 * * [misc]simplify: iters left: 4 (45 enodes) 1540202379.431 * * [misc]simplify: iters left: 3 (90 enodes) 1540202379.447 * * [misc]simplify: iters left: 2 (155 enodes) 1540202379.477 * * [misc]simplify: iters left: 1 (239 enodes) 1540202379.531 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202379.531 * [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))))))) 1540202379.531 * * * * [misc]progress: [ 1532 / 6878 ] simplifiying candidate # 1540202379.531 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202379.531 * * [misc]simplify: iters left: 6 (14 enodes) 1540202379.533 * * [misc]simplify: iters left: 5 (23 enodes) 1540202379.537 * * [misc]simplify: iters left: 4 (30 enodes) 1540202379.540 * * [misc]simplify: iters left: 3 (31 enodes) 1540202379.543 * * [misc]simplify: iters left: 2 (33 enodes) 1540202379.546 * * [misc]simplify: iters left: 1 (38 enodes) 1540202379.551 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202379.551 * [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)))))))) 1540202379.552 * [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)))))) 1540202379.552 * * [misc]simplify: iters left: 6 (18 enodes) 1540202379.554 * * [misc]simplify: iters left: 5 (27 enodes) 1540202379.558 * * [misc]simplify: iters left: 4 (45 enodes) 1540202379.565 * * [misc]simplify: iters left: 3 (90 enodes) 1540202379.580 * * [misc]simplify: iters left: 2 (155 enodes) 1540202379.612 * * [misc]simplify: iters left: 1 (239 enodes) 1540202379.665 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202379.665 * [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))))))) 1540202379.665 * * * * [misc]progress: [ 1533 / 6878 ] simplifiying candidate # 1540202379.665 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 1)) 1540202379.665 * * [misc]simplify: iters left: 6 (7 enodes) 1540202379.667 * * [misc]simplify: iters left: 5 (12 enodes) 1540202379.668 * [exit]simplify: Simplified to (sqrt PI) 1540202379.668 * [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))))))) 1540202379.668 * [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))))) 1540202379.668 * * [misc]simplify: iters left: 6 (17 enodes) 1540202379.670 * * [misc]simplify: iters left: 5 (26 enodes) 1540202379.675 * * [misc]simplify: iters left: 4 (44 enodes) 1540202379.682 * * [misc]simplify: iters left: 3 (89 enodes) 1540202379.697 * * [misc]simplify: iters left: 2 (154 enodes) 1540202379.728 * * [misc]simplify: iters left: 1 (238 enodes) 1540202379.782 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540202379.782 * [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))))))) 1540202379.782 * * * * [misc]progress: [ 1534 / 6878 ] simplifiying candidate # 1540202379.782 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) 1) 1540202379.782 * * [misc]simplify: iters left: 6 (7 enodes) 1540202379.784 * * [misc]simplify: iters left: 5 (12 enodes) 1540202379.785 * [exit]simplify: Simplified to (sqrt PI) 1540202379.785 * [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))))))) 1540202379.785 * [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))))) 1540202379.785 * * [misc]simplify: iters left: 6 (17 enodes) 1540202379.788 * * [misc]simplify: iters left: 5 (26 enodes) 1540202379.791 * * [misc]simplify: iters left: 4 (44 enodes) 1540202379.799 * * [misc]simplify: iters left: 3 (89 enodes) 1540202379.814 * * [misc]simplify: iters left: 2 (154 enodes) 1540202379.845 * * [misc]simplify: iters left: 1 (238 enodes) 1540202379.900 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540202379.900 * [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))))))) 1540202379.900 * * * * [misc]progress: [ 1535 / 6878 ] simplifiying candidate # 1540202379.900 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (sqrt (sqrt k))) 1540202379.900 * * [misc]simplify: iters left: 6 (10 enodes) 1540202379.901 * * [misc]simplify: iters left: 5 (15 enodes) 1540202379.903 * * [misc]simplify: iters left: 4 (18 enodes) 1540202379.905 * * [misc]simplify: iters left: 3 (20 enodes) 1540202379.907 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202379.907 * [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))))))) 1540202379.907 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202379.907 * * [misc]simplify: iters left: 6 (18 enodes) 1540202379.910 * * [misc]simplify: iters left: 5 (29 enodes) 1540202379.915 * * [misc]simplify: iters left: 4 (46 enodes) 1540202379.922 * * [misc]simplify: iters left: 3 (98 enodes) 1540202379.940 * * [misc]simplify: iters left: 2 (205 enodes) 1540202380.001 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540202380.001 * [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)))))) 1540202380.001 * * * * [misc]progress: [ 1536 / 6878 ] simplifiying candidate # 1540202380.001 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202380.001 * * [misc]simplify: iters left: 6 (13 enodes) 1540202380.004 * * [misc]simplify: iters left: 5 (21 enodes) 1540202380.007 * * [misc]simplify: iters left: 4 (31 enodes) 1540202380.012 * * [misc]simplify: iters left: 3 (41 enodes) 1540202380.016 * * [misc]simplify: iters left: 2 (49 enodes) 1540202380.022 * * [misc]simplify: iters left: 1 (61 enodes) 1540202380.028 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540202380.028 * [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))))) 1540202380.028 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540202380.028 * * [misc]simplify: iters left: 6 (16 enodes) 1540202380.030 * * [misc]simplify: iters left: 5 (23 enodes) 1540202380.033 * * [misc]simplify: iters left: 4 (34 enodes) 1540202380.038 * * [misc]simplify: iters left: 3 (49 enodes) 1540202380.046 * * [misc]simplify: iters left: 2 (66 enodes) 1540202380.055 * * [misc]simplify: iters left: 1 (83 enodes) 1540202380.066 * [exit]simplify: Simplified to (* (/ (pow n (- 1/2 (/ k 2))) (pow 2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540202380.066 * [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)))))) 1540202380.066 * * * * [misc]progress: [ 1537 / 6878 ] simplifiying candidate # 1540202380.066 * [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))))))) 1540202380.066 * * [misc]simplify: iters left: 6 (16 enodes) 1540202380.069 * * [misc]simplify: iters left: 5 (25 enodes) 1540202380.072 * * [misc]simplify: iters left: 4 (36 enodes) 1540202380.076 * * [misc]simplify: iters left: 3 (45 enodes) 1540202380.081 * [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)))))) 1540202380.081 * [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)))))))) 1540202380.082 * [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)))))) 1540202380.082 * * [misc]simplify: iters left: 6 (18 enodes) 1540202380.084 * * [misc]simplify: iters left: 5 (25 enodes) 1540202380.087 * * [misc]simplify: iters left: 4 (36 enodes) 1540202380.092 * * [misc]simplify: iters left: 3 (51 enodes) 1540202380.099 * * [misc]simplify: iters left: 2 (68 enodes) 1540202380.108 * * [misc]simplify: iters left: 1 (85 enodes) 1540202380.120 * [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)))))) 1540202380.120 * [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)))))))) 1540202380.120 * * * * [misc]progress: [ 1538 / 6878 ] simplifiying candidate # 1540202380.121 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202380.121 * * [misc]simplify: iters left: 6 (15 enodes) 1540202380.123 * * [misc]simplify: iters left: 5 (22 enodes) 1540202380.126 * * [misc]simplify: iters left: 4 (30 enodes) 1540202380.129 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202380.129 * [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)))))))) 1540202380.129 * [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)))))) 1540202380.129 * * [misc]simplify: iters left: 6 (18 enodes) 1540202380.132 * * [misc]simplify: iters left: 5 (25 enodes) 1540202380.135 * * [misc]simplify: iters left: 4 (36 enodes) 1540202380.140 * * [misc]simplify: iters left: 3 (51 enodes) 1540202380.147 * * [misc]simplify: iters left: 2 (68 enodes) 1540202380.155 * * [misc]simplify: iters left: 1 (85 enodes) 1540202380.167 * [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)))))) 1540202380.167 * [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)))))))) 1540202380.167 * * * * [misc]progress: [ 1539 / 6878 ] simplifiying candidate # 1540202380.167 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202380.167 * * [misc]simplify: iters left: 6 (14 enodes) 1540202380.170 * * [misc]simplify: iters left: 5 (24 enodes) 1540202380.174 * * [misc]simplify: iters left: 4 (40 enodes) 1540202380.181 * * [misc]simplify: iters left: 3 (77 enodes) 1540202380.195 * * [misc]simplify: iters left: 2 (148 enodes) 1540202380.221 * * [misc]simplify: iters left: 1 (218 enodes) 1540202380.257 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202380.257 * [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))))))) 1540202380.257 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202380.257 * * [misc]simplify: iters left: 6 (18 enodes) 1540202380.260 * * [misc]simplify: iters left: 5 (27 enodes) 1540202380.264 * * [misc]simplify: iters left: 4 (46 enodes) 1540202380.270 * * [misc]simplify: iters left: 3 (94 enodes) 1540202380.287 * * [misc]simplify: iters left: 2 (181 enodes) 1540202380.327 * * [misc]simplify: iters left: 1 (322 enodes) 1540202380.429 * [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))))) 1540202380.429 * [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))))))) 1540202380.429 * * * * [misc]progress: [ 1540 / 6878 ] simplifiying candidate # 1540202380.429 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202380.429 * * [misc]simplify: iters left: 6 (14 enodes) 1540202380.432 * * [misc]simplify: iters left: 5 (24 enodes) 1540202380.436 * * [misc]simplify: iters left: 4 (40 enodes) 1540202380.442 * * [misc]simplify: iters left: 3 (77 enodes) 1540202380.456 * * [misc]simplify: iters left: 2 (148 enodes) 1540202380.484 * * [misc]simplify: iters left: 1 (218 enodes) 1540202380.519 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202380.519 * [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))))))) 1540202380.519 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202380.519 * * [misc]simplify: iters left: 6 (18 enodes) 1540202380.522 * * [misc]simplify: iters left: 5 (27 enodes) 1540202380.525 * * [misc]simplify: iters left: 4 (46 enodes) 1540202380.532 * * [misc]simplify: iters left: 3 (94 enodes) 1540202380.551 * * [misc]simplify: iters left: 2 (181 enodes) 1540202380.588 * * [misc]simplify: iters left: 1 (322 enodes) 1540202380.690 * [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))))) 1540202380.690 * [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))))))) 1540202380.690 * * * * [misc]progress: [ 1541 / 6878 ] simplifiying candidate # 1540202380.690 * [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))))))) 1540202380.690 * * [misc]simplify: iters left: 6 (18 enodes) 1540202380.693 * * [misc]simplify: iters left: 5 (33 enodes) 1540202380.699 * * [misc]simplify: iters left: 4 (65 enodes) 1540202380.710 * * [misc]simplify: iters left: 3 (160 enodes) 1540202380.750 * * [misc]simplify: iters left: 2 (473 enodes) 1540202381.031 * [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)))))) 1540202381.031 * [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)))))))) 1540202381.032 * [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)))))) 1540202381.032 * * [misc]simplify: iters left: 6 (19 enodes) 1540202381.034 * * [misc]simplify: iters left: 5 (28 enodes) 1540202381.038 * * [misc]simplify: iters left: 4 (47 enodes) 1540202381.045 * * [misc]simplify: iters left: 3 (95 enodes) 1540202381.064 * * [misc]simplify: iters left: 2 (182 enodes) 1540202381.102 * * [misc]simplify: iters left: 1 (322 enodes) 1540202381.495 * [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)))))) 1540202381.495 * [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)))))))) 1540202381.496 * * * * [misc]progress: [ 1542 / 6878 ] simplifiying candidate # 1540202381.496 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202381.496 * * [misc]simplify: iters left: 6 (17 enodes) 1540202381.498 * * [misc]simplify: iters left: 5 (28 enodes) 1540202381.502 * * [misc]simplify: iters left: 4 (47 enodes) 1540202381.509 * * [misc]simplify: iters left: 3 (84 enodes) 1540202381.522 * * [misc]simplify: iters left: 2 (161 enodes) 1540202381.562 * * [misc]simplify: iters left: 1 (399 enodes) 1540202381.672 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (sqrt (sqrt k)))) 1540202381.672 * [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)))))))) 1540202381.672 * [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)))))) 1540202381.672 * * [misc]simplify: iters left: 6 (19 enodes) 1540202381.675 * * [misc]simplify: iters left: 5 (28 enodes) 1540202381.679 * * [misc]simplify: iters left: 4 (47 enodes) 1540202381.686 * * [misc]simplify: iters left: 3 (95 enodes) 1540202381.703 * * [misc]simplify: iters left: 2 (182 enodes) 1540202381.742 * * [misc]simplify: iters left: 1 (322 enodes) 1540202381.843 * [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)))))) 1540202381.843 * [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)))))))) 1540202381.843 * * * * [misc]progress: [ 1543 / 6878 ] simplifiying candidate # 1540202381.843 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202381.843 * * [misc]simplify: iters left: 6 (12 enodes) 1540202381.845 * * [misc]simplify: iters left: 5 (21 enodes) 1540202381.849 * * [misc]simplify: iters left: 4 (38 enodes) 1540202381.854 * * [misc]simplify: iters left: 3 (58 enodes) 1540202381.863 * * [misc]simplify: iters left: 2 (90 enodes) 1540202381.881 * * [misc]simplify: iters left: 1 (131 enodes) 1540202381.906 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1540202381.906 * [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))))))) 1540202381.906 * [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))))) 1540202381.907 * * [misc]simplify: iters left: 6 (18 enodes) 1540202381.909 * * [misc]simplify: iters left: 5 (27 enodes) 1540202381.913 * * [misc]simplify: iters left: 4 (46 enodes) 1540202381.920 * * [misc]simplify: iters left: 3 (94 enodes) 1540202381.937 * * [misc]simplify: iters left: 2 (181 enodes) 1540202381.976 * * [misc]simplify: iters left: 1 (322 enodes) 1540202382.078 * [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))))) 1540202382.078 * [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))))))) 1540202382.078 * * * * [misc]progress: [ 1544 / 6878 ] simplifiying candidate # 1540202382.078 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202382.079 * * [misc]simplify: iters left: 6 (14 enodes) 1540202382.081 * * [misc]simplify: iters left: 5 (23 enodes) 1540202382.085 * * [misc]simplify: iters left: 4 (34 enodes) 1540202382.089 * * [misc]simplify: iters left: 3 (42 enodes) 1540202382.094 * * [misc]simplify: iters left: 2 (51 enodes) 1540202382.100 * * [misc]simplify: iters left: 1 (66 enodes) 1540202382.109 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540202382.109 * [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))))))) 1540202382.109 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202382.109 * * [misc]simplify: iters left: 6 (19 enodes) 1540202382.112 * * [misc]simplify: iters left: 5 (28 enodes) 1540202382.116 * * [misc]simplify: iters left: 4 (47 enodes) 1540202382.124 * * [misc]simplify: iters left: 3 (95 enodes) 1540202382.141 * * [misc]simplify: iters left: 2 (182 enodes) 1540202382.180 * * [misc]simplify: iters left: 1 (322 enodes) 1540202382.279 * [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)))) 1540202382.279 * [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)))))) 1540202382.280 * * * * [misc]progress: [ 1545 / 6878 ] simplifiying candidate # 1540202382.280 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202382.280 * * [misc]simplify: iters left: 6 (14 enodes) 1540202382.283 * * [misc]simplify: iters left: 5 (23 enodes) 1540202382.287 * * [misc]simplify: iters left: 4 (34 enodes) 1540202382.293 * * [misc]simplify: iters left: 3 (42 enodes) 1540202382.298 * * [misc]simplify: iters left: 2 (51 enodes) 1540202382.304 * * [misc]simplify: iters left: 1 (66 enodes) 1540202382.313 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540202382.313 * [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))))))) 1540202382.313 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202382.313 * * [misc]simplify: iters left: 6 (19 enodes) 1540202382.316 * * [misc]simplify: iters left: 5 (28 enodes) 1540202382.319 * * [misc]simplify: iters left: 4 (47 enodes) 1540202382.326 * * [misc]simplify: iters left: 3 (95 enodes) 1540202382.344 * * [misc]simplify: iters left: 2 (182 enodes) 1540202382.383 * * [misc]simplify: iters left: 1 (322 enodes) 1540202382.484 * [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)))) 1540202382.484 * [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)))))) 1540202382.484 * * * * [misc]progress: [ 1546 / 6878 ] simplifiying candidate # 1540202382.484 * [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))))))) 1540202382.484 * * [misc]simplify: iters left: 6 (18 enodes) 1540202382.487 * * [misc]simplify: iters left: 5 (30 enodes) 1540202382.491 * * [misc]simplify: iters left: 4 (47 enodes) 1540202382.498 * * [misc]simplify: iters left: 3 (72 enodes) 1540202382.508 * * [misc]simplify: iters left: 2 (115 enodes) 1540202382.528 * * [misc]simplify: iters left: 1 (220 enodes) 1540202382.605 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) 1540202382.605 * [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)))))))) 1540202382.605 * [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)))))) 1540202382.605 * * [misc]simplify: iters left: 6 (20 enodes) 1540202382.608 * * [misc]simplify: iters left: 5 (29 enodes) 1540202382.612 * * [misc]simplify: iters left: 4 (48 enodes) 1540202382.619 * * [misc]simplify: iters left: 3 (96 enodes) 1540202382.636 * * [misc]simplify: iters left: 2 (183 enodes) 1540202382.676 * * [misc]simplify: iters left: 1 (327 enodes) 1540202382.781 * [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)))))) 1540202382.781 * [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)))))))) 1540202382.781 * * * * [misc]progress: [ 1547 / 6878 ] simplifiying candidate # 1540202382.781 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202382.781 * * [misc]simplify: iters left: 6 (17 enodes) 1540202382.784 * * [misc]simplify: iters left: 5 (27 enodes) 1540202382.788 * * [misc]simplify: iters left: 4 (41 enodes) 1540202382.792 * * [misc]simplify: iters left: 3 (49 enodes) 1540202382.798 * * [misc]simplify: iters left: 2 (64 enodes) 1540202382.806 * * [misc]simplify: iters left: 1 (105 enodes) 1540202382.822 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540202382.822 * [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)))))))) 1540202382.822 * [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)))))) 1540202382.822 * * [misc]simplify: iters left: 6 (20 enodes) 1540202382.825 * * [misc]simplify: iters left: 5 (29 enodes) 1540202382.831 * * [misc]simplify: iters left: 4 (48 enodes) 1540202382.838 * * [misc]simplify: iters left: 3 (96 enodes) 1540202382.855 * * [misc]simplify: iters left: 2 (183 enodes) 1540202382.894 * * [misc]simplify: iters left: 1 (327 enodes) 1540202382.998 * [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)))))) 1540202382.998 * [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)))))))) 1540202382.998 * * * * [misc]progress: [ 1548 / 6878 ] simplifiying candidate # 1540202382.998 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202382.998 * * [misc]simplify: iters left: 6 (12 enodes) 1540202383.000 * * [misc]simplify: iters left: 5 (20 enodes) 1540202383.004 * * [misc]simplify: iters left: 4 (27 enodes) 1540202383.007 * * [misc]simplify: iters left: 3 (35 enodes) 1540202383.011 * * [misc]simplify: iters left: 2 (44 enodes) 1540202383.016 * * [misc]simplify: iters left: 1 (52 enodes) 1540202383.023 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540202383.023 * [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))))))) 1540202383.023 * [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))))) 1540202383.023 * * [misc]simplify: iters left: 6 (19 enodes) 1540202383.026 * * [misc]simplify: iters left: 5 (28 enodes) 1540202383.030 * * [misc]simplify: iters left: 4 (47 enodes) 1540202383.037 * * [misc]simplify: iters left: 3 (95 enodes) 1540202383.054 * * [misc]simplify: iters left: 2 (182 enodes) 1540202383.093 * * [misc]simplify: iters left: 1 (322 enodes) 1540202383.194 * [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))))) 1540202383.194 * [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))))))) 1540202383.194 * * * * [misc]progress: [ 1549 / 6878 ] simplifiying candidate # 1540202383.194 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202383.194 * * [misc]simplify: iters left: 6 (13 enodes) 1540202383.197 * * [misc]simplify: iters left: 5 (21 enodes) 1540202383.200 * * [misc]simplify: iters left: 4 (32 enodes) 1540202383.205 * * [misc]simplify: iters left: 3 (42 enodes) 1540202383.210 * * [misc]simplify: iters left: 2 (53 enodes) 1540202383.216 * * [misc]simplify: iters left: 1 (67 enodes) 1540202383.225 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202383.225 * [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))))))) 1540202383.225 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202383.225 * * [misc]simplify: iters left: 6 (18 enodes) 1540202383.227 * * [misc]simplify: iters left: 5 (27 enodes) 1540202383.231 * * [misc]simplify: iters left: 4 (46 enodes) 1540202383.238 * * [misc]simplify: iters left: 3 (94 enodes) 1540202383.256 * * [misc]simplify: iters left: 2 (181 enodes) 1540202383.294 * * [misc]simplify: iters left: 1 (322 enodes) 1540202383.396 * [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))))) 1540202383.396 * [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))))))) 1540202383.396 * * * * [misc]progress: [ 1550 / 6878 ] simplifiying candidate # 1540202383.396 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202383.396 * * [misc]simplify: iters left: 6 (13 enodes) 1540202383.399 * * [misc]simplify: iters left: 5 (21 enodes) 1540202383.402 * * [misc]simplify: iters left: 4 (32 enodes) 1540202383.406 * * [misc]simplify: iters left: 3 (42 enodes) 1540202383.411 * * [misc]simplify: iters left: 2 (53 enodes) 1540202383.419 * * [misc]simplify: iters left: 1 (67 enodes) 1540202383.428 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202383.428 * [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))))))) 1540202383.428 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202383.428 * * [misc]simplify: iters left: 6 (18 enodes) 1540202383.431 * * [misc]simplify: iters left: 5 (27 enodes) 1540202383.435 * * [misc]simplify: iters left: 4 (46 enodes) 1540202383.442 * * [misc]simplify: iters left: 3 (94 enodes) 1540202383.458 * * [misc]simplify: iters left: 2 (181 enodes) 1540202383.498 * * [misc]simplify: iters left: 1 (322 enodes) 1540202383.600 * [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))))) 1540202383.600 * [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))))))) 1540202383.600 * * * * [misc]progress: [ 1551 / 6878 ] simplifiying candidate # 1540202383.600 * [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))))))) 1540202383.600 * * [misc]simplify: iters left: 6 (17 enodes) 1540202383.603 * * [misc]simplify: iters left: 5 (28 enodes) 1540202383.607 * * [misc]simplify: iters left: 4 (45 enodes) 1540202383.613 * * [misc]simplify: iters left: 3 (78 enodes) 1540202383.625 * * [misc]simplify: iters left: 2 (142 enodes) 1540202383.658 * * [misc]simplify: iters left: 1 (366 enodes) 1540202383.806 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540202383.806 * [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)))))))) 1540202383.806 * [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)))))) 1540202383.807 * * [misc]simplify: iters left: 6 (19 enodes) 1540202383.809 * * [misc]simplify: iters left: 5 (28 enodes) 1540202383.813 * * [misc]simplify: iters left: 4 (47 enodes) 1540202383.820 * * [misc]simplify: iters left: 3 (95 enodes) 1540202383.839 * * [misc]simplify: iters left: 2 (182 enodes) 1540202383.877 * * [misc]simplify: iters left: 1 (322 enodes) 1540202383.977 * [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)))))) 1540202383.977 * [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)))))))) 1540202383.977 * * * * [misc]progress: [ 1552 / 6878 ] simplifiying candidate # 1540202383.978 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202383.978 * * [misc]simplify: iters left: 6 (16 enodes) 1540202383.980 * * [misc]simplify: iters left: 5 (25 enodes) 1540202383.984 * * [misc]simplify: iters left: 4 (39 enodes) 1540202383.988 * * [misc]simplify: iters left: 3 (49 enodes) 1540202383.994 * * [misc]simplify: iters left: 2 (68 enodes) 1540202384.004 * * [misc]simplify: iters left: 1 (121 enodes) 1540202384.023 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202384.023 * [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)))))))) 1540202384.024 * [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)))))) 1540202384.024 * * [misc]simplify: iters left: 6 (19 enodes) 1540202384.026 * * [misc]simplify: iters left: 5 (28 enodes) 1540202384.030 * * [misc]simplify: iters left: 4 (47 enodes) 1540202384.037 * * [misc]simplify: iters left: 3 (95 enodes) 1540202384.054 * * [misc]simplify: iters left: 2 (182 enodes) 1540202384.093 * * [misc]simplify: iters left: 1 (322 enodes) 1540202384.193 * [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)))))) 1540202384.193 * [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)))))))) 1540202384.193 * * * * [misc]progress: [ 1553 / 6878 ] simplifiying candidate # 1540202384.194 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202384.194 * * [misc]simplify: iters left: 6 (11 enodes) 1540202384.195 * * [misc]simplify: iters left: 5 (18 enodes) 1540202384.198 * * [misc]simplify: iters left: 4 (29 enodes) 1540202384.202 * * [misc]simplify: iters left: 3 (37 enodes) 1540202384.206 * * [misc]simplify: iters left: 2 (46 enodes) 1540202384.210 * * [misc]simplify: iters left: 1 (56 enodes) 1540202384.218 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202384.218 * [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))))))) 1540202384.218 * [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))))) 1540202384.219 * * [misc]simplify: iters left: 6 (18 enodes) 1540202384.221 * * [misc]simplify: iters left: 5 (27 enodes) 1540202384.225 * * [misc]simplify: iters left: 4 (46 enodes) 1540202384.232 * * [misc]simplify: iters left: 3 (94 enodes) 1540202384.250 * * [misc]simplify: iters left: 2 (181 enodes) 1540202384.288 * * [misc]simplify: iters left: 1 (322 enodes) 1540202384.390 * [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))))) 1540202384.390 * [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))))))) 1540202384.390 * * * * [misc]progress: [ 1554 / 6878 ] simplifiying candidate # 1540202384.391 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) (pow 2 1/2))) 1540202384.391 * * [misc]simplify: iters left: 5 (10 enodes) 1540202384.393 * * [misc]simplify: iters left: 4 (18 enodes) 1540202384.396 * * [misc]simplify: iters left: 3 (25 enodes) 1540202384.399 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202384.399 * [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))))))) 1540202384.399 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202384.399 * * [misc]simplify: iters left: 6 (17 enodes) 1540202384.401 * * [misc]simplify: iters left: 5 (26 enodes) 1540202384.405 * * [misc]simplify: iters left: 4 (44 enodes) 1540202384.412 * * [misc]simplify: iters left: 3 (89 enodes) 1540202384.428 * * [misc]simplify: iters left: 2 (154 enodes) 1540202384.459 * * [misc]simplify: iters left: 1 (238 enodes) 1540202384.514 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202384.514 * [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)))))) 1540202384.514 * * * * [misc]progress: [ 1555 / 6878 ] simplifiying candidate # 1540202384.514 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) (pow 2 1/2))) 1540202384.514 * * [misc]simplify: iters left: 5 (10 enodes) 1540202384.516 * * [misc]simplify: iters left: 4 (18 enodes) 1540202384.519 * * [misc]simplify: iters left: 3 (25 enodes) 1540202384.522 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540202384.522 * [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))))))) 1540202384.522 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202384.522 * * [misc]simplify: iters left: 6 (17 enodes) 1540202384.525 * * [misc]simplify: iters left: 5 (26 enodes) 1540202384.528 * * [misc]simplify: iters left: 4 (44 enodes) 1540202384.536 * * [misc]simplify: iters left: 3 (89 enodes) 1540202384.552 * * [misc]simplify: iters left: 2 (154 enodes) 1540202384.582 * * [misc]simplify: iters left: 1 (238 enodes) 1540202384.637 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202384.637 * [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)))))) 1540202384.637 * * * * [misc]progress: [ 1556 / 6878 ] simplifiying candidate # 1540202384.637 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540202384.637 * * [misc]simplify: iters left: 6 (15 enodes) 1540202384.640 * * [misc]simplify: iters left: 5 (26 enodes) 1540202384.643 * * [misc]simplify: iters left: 4 (37 enodes) 1540202384.648 * * [misc]simplify: iters left: 3 (49 enodes) 1540202384.653 * * [misc]simplify: iters left: 2 (63 enodes) 1540202384.663 * * [misc]simplify: iters left: 1 (113 enodes) 1540202384.680 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202384.681 * [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)))))))) 1540202384.681 * [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)))))) 1540202384.681 * * [misc]simplify: iters left: 6 (18 enodes) 1540202384.683 * * [misc]simplify: iters left: 5 (27 enodes) 1540202384.687 * * [misc]simplify: iters left: 4 (45 enodes) 1540202384.694 * * [misc]simplify: iters left: 3 (90 enodes) 1540202384.710 * * [misc]simplify: iters left: 2 (155 enodes) 1540202384.742 * * [misc]simplify: iters left: 1 (239 enodes) 1540202384.796 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202384.796 * [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))))))) 1540202384.796 * * * * [misc]progress: [ 1557 / 6878 ] simplifiying candidate # 1540202384.796 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202384.796 * * [misc]simplify: iters left: 6 (14 enodes) 1540202384.799 * * [misc]simplify: iters left: 5 (23 enodes) 1540202384.802 * * [misc]simplify: iters left: 4 (33 enodes) 1540202384.805 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202384.805 * [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)))))))) 1540202384.805 * [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)))))) 1540202384.805 * * [misc]simplify: iters left: 6 (18 enodes) 1540202384.808 * * [misc]simplify: iters left: 5 (27 enodes) 1540202384.812 * * [misc]simplify: iters left: 4 (45 enodes) 1540202384.818 * * [misc]simplify: iters left: 3 (90 enodes) 1540202384.834 * * [misc]simplify: iters left: 2 (155 enodes) 1540202384.866 * * [misc]simplify: iters left: 1 (239 enodes) 1540202384.920 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202384.920 * [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))))))) 1540202384.920 * * * * [misc]progress: [ 1558 / 6878 ] simplifiying candidate # 1540202384.920 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) 1)) 1540202384.920 * * [misc]simplify: iters left: 5 (8 enodes) 1540202384.923 * * [misc]simplify: iters left: 4 (15 enodes) 1540202384.924 * [exit]simplify: Simplified to (sqrt PI) 1540202384.924 * [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))))))) 1540202384.924 * [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))))) 1540202384.924 * * [misc]simplify: iters left: 6 (17 enodes) 1540202384.926 * * [misc]simplify: iters left: 5 (26 enodes) 1540202384.930 * * [misc]simplify: iters left: 4 (44 enodes) 1540202384.937 * * [misc]simplify: iters left: 3 (89 enodes) 1540202384.952 * * [misc]simplify: iters left: 2 (154 enodes) 1540202384.984 * * [misc]simplify: iters left: 1 (238 enodes) 1540202385.039 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540202385.039 * [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))))))) 1540202385.039 * * * * [misc]progress: [ 1559 / 6878 ] simplifiying candidate # 1540202385.039 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202385.039 * * [misc]simplify: iters left: 6 (13 enodes) 1540202385.042 * * [misc]simplify: iters left: 5 (21 enodes) 1540202385.045 * * [misc]simplify: iters left: 4 (32 enodes) 1540202385.050 * * [misc]simplify: iters left: 3 (42 enodes) 1540202385.055 * * [misc]simplify: iters left: 2 (53 enodes) 1540202385.061 * * [misc]simplify: iters left: 1 (67 enodes) 1540202385.069 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202385.069 * [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))))))) 1540202385.070 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202385.070 * * [misc]simplify: iters left: 6 (18 enodes) 1540202385.072 * * [misc]simplify: iters left: 5 (27 enodes) 1540202385.076 * * [misc]simplify: iters left: 4 (46 enodes) 1540202385.083 * * [misc]simplify: iters left: 3 (94 enodes) 1540202385.101 * * [misc]simplify: iters left: 2 (181 enodes) 1540202385.139 * * [misc]simplify: iters left: 1 (322 enodes) 1540202385.241 * [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))))) 1540202385.241 * [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))))))) 1540202385.241 * * * * [misc]progress: [ 1560 / 6878 ] simplifiying candidate # 1540202385.241 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202385.241 * * [misc]simplify: iters left: 6 (13 enodes) 1540202385.244 * * [misc]simplify: iters left: 5 (21 enodes) 1540202385.247 * * [misc]simplify: iters left: 4 (32 enodes) 1540202385.251 * * [misc]simplify: iters left: 3 (42 enodes) 1540202385.256 * * [misc]simplify: iters left: 2 (53 enodes) 1540202385.263 * * [misc]simplify: iters left: 1 (67 enodes) 1540202385.273 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540202385.273 * [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))))))) 1540202385.273 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202385.273 * * [misc]simplify: iters left: 6 (18 enodes) 1540202385.276 * * [misc]simplify: iters left: 5 (27 enodes) 1540202385.279 * * [misc]simplify: iters left: 4 (46 enodes) 1540202385.286 * * [misc]simplify: iters left: 3 (94 enodes) 1540202385.303 * * [misc]simplify: iters left: 2 (181 enodes) 1540202385.342 * * [misc]simplify: iters left: 1 (322 enodes) 1540202385.444 * [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))))) 1540202385.444 * [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))))))) 1540202385.444 * * * * [misc]progress: [ 1561 / 6878 ] simplifiying candidate # 1540202385.444 * [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))))))) 1540202385.444 * * [misc]simplify: iters left: 6 (17 enodes) 1540202385.447 * * [misc]simplify: iters left: 5 (28 enodes) 1540202385.451 * * [misc]simplify: iters left: 4 (45 enodes) 1540202385.457 * * [misc]simplify: iters left: 3 (78 enodes) 1540202385.469 * * [misc]simplify: iters left: 2 (142 enodes) 1540202385.501 * * [misc]simplify: iters left: 1 (366 enodes) 1540202385.649 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540202385.650 * [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)))))))) 1540202385.650 * [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)))))) 1540202385.650 * * [misc]simplify: iters left: 6 (19 enodes) 1540202385.652 * * [misc]simplify: iters left: 5 (28 enodes) 1540202385.656 * * [misc]simplify: iters left: 4 (47 enodes) 1540202385.663 * * [misc]simplify: iters left: 3 (95 enodes) 1540202385.682 * * [misc]simplify: iters left: 2 (182 enodes) 1540202385.719 * * [misc]simplify: iters left: 1 (322 enodes) 1540202385.819 * [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)))))) 1540202385.820 * [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)))))))) 1540202385.820 * * * * [misc]progress: [ 1562 / 6878 ] simplifiying candidate # 1540202385.820 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202385.820 * * [misc]simplify: iters left: 6 (16 enodes) 1540202385.822 * * [misc]simplify: iters left: 5 (25 enodes) 1540202385.826 * * [misc]simplify: iters left: 4 (39 enodes) 1540202385.830 * * [misc]simplify: iters left: 3 (49 enodes) 1540202385.836 * * [misc]simplify: iters left: 2 (68 enodes) 1540202385.845 * * [misc]simplify: iters left: 1 (121 enodes) 1540202385.865 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540202385.865 * [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)))))))) 1540202385.865 * [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)))))) 1540202385.866 * * [misc]simplify: iters left: 6 (19 enodes) 1540202385.868 * * [misc]simplify: iters left: 5 (28 enodes) 1540202385.872 * * [misc]simplify: iters left: 4 (47 enodes) 1540202385.879 * * [misc]simplify: iters left: 3 (95 enodes) 1540202385.896 * * [misc]simplify: iters left: 2 (182 enodes) 1540202385.934 * * [misc]simplify: iters left: 1 (322 enodes) 1540202386.035 * [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)))))) 1540202386.035 * [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)))))))) 1540202386.035 * * * * [misc]progress: [ 1563 / 6878 ] simplifiying candidate # 1540202386.035 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202386.036 * * [misc]simplify: iters left: 6 (11 enodes) 1540202386.037 * * [misc]simplify: iters left: 5 (18 enodes) 1540202386.040 * * [misc]simplify: iters left: 4 (29 enodes) 1540202386.044 * * [misc]simplify: iters left: 3 (37 enodes) 1540202386.048 * * [misc]simplify: iters left: 2 (46 enodes) 1540202386.053 * * [misc]simplify: iters left: 1 (56 enodes) 1540202386.061 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540202386.061 * [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))))))) 1540202386.061 * [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))))) 1540202386.061 * * [misc]simplify: iters left: 6 (18 enodes) 1540202386.063 * * [misc]simplify: iters left: 5 (27 enodes) 1540202386.067 * * [misc]simplify: iters left: 4 (46 enodes) 1540202386.074 * * [misc]simplify: iters left: 3 (94 enodes) 1540202386.092 * * [misc]simplify: iters left: 2 (181 enodes) 1540202386.130 * * [misc]simplify: iters left: 1 (322 enodes) 1540202386.232 * [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))))) 1540202386.232 * [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))))))) 1540202386.232 * * * * [misc]progress: [ 1564 / 6878 ] simplifiying candidate # 1540202386.232 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 (pow 2 1/2))) 1540202386.232 * * [misc]simplify: iters left: 5 (9 enodes) 1540202386.234 * * [misc]simplify: iters left: 4 (17 enodes) 1540202386.237 * * [misc]simplify: iters left: 3 (25 enodes) 1540202386.240 * * [misc]simplify: iters left: 2 (27 enodes) 1540202386.243 * * [misc]simplify: iters left: 1 (28 enodes) 1540202386.245 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt PI)) 1540202386.245 * [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))))))) 1540202386.246 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202386.246 * * [misc]simplify: iters left: 6 (17 enodes) 1540202386.248 * * [misc]simplify: iters left: 5 (26 enodes) 1540202386.252 * * [misc]simplify: iters left: 4 (44 enodes) 1540202386.258 * * [misc]simplify: iters left: 3 (89 enodes) 1540202386.275 * * [misc]simplify: iters left: 2 (154 enodes) 1540202386.306 * * [misc]simplify: iters left: 1 (238 enodes) 1540202386.360 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202386.360 * [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)))))) 1540202386.360 * * * * [misc]progress: [ 1565 / 6878 ] simplifiying candidate # 1540202386.360 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 (pow 2 1/2))) 1540202386.361 * * [misc]simplify: iters left: 5 (9 enodes) 1540202386.363 * * [misc]simplify: iters left: 4 (17 enodes) 1540202386.365 * * [misc]simplify: iters left: 3 (25 enodes) 1540202386.369 * * [misc]simplify: iters left: 2 (27 enodes) 1540202386.371 * * [misc]simplify: iters left: 1 (28 enodes) 1540202386.374 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt PI)) 1540202386.374 * [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))))))) 1540202386.374 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202386.374 * * [misc]simplify: iters left: 6 (17 enodes) 1540202386.376 * * [misc]simplify: iters left: 5 (26 enodes) 1540202386.380 * * [misc]simplify: iters left: 4 (44 enodes) 1540202386.388 * * [misc]simplify: iters left: 3 (89 enodes) 1540202386.403 * * [misc]simplify: iters left: 2 (154 enodes) 1540202386.434 * * [misc]simplify: iters left: 1 (238 enodes) 1540202386.488 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540202386.488 * [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)))))) 1540202386.488 * * * * [misc]progress: [ 1566 / 6878 ] simplifiying candidate # 1540202386.488 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540202386.488 * * [misc]simplify: iters left: 6 (14 enodes) 1540202386.491 * * [misc]simplify: iters left: 5 (25 enodes) 1540202386.494 * * [misc]simplify: iters left: 4 (37 enodes) 1540202386.499 * * [misc]simplify: iters left: 3 (42 enodes) 1540202386.505 * * [misc]simplify: iters left: 2 (51 enodes) 1540202386.511 * * [misc]simplify: iters left: 1 (85 enodes) 1540202386.529 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) 1540202386.529 * [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)))))))) 1540202386.529 * [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)))))) 1540202386.529 * * [misc]simplify: iters left: 6 (18 enodes) 1540202386.532 * * [misc]simplify: iters left: 5 (27 enodes) 1540202386.535 * * [misc]simplify: iters left: 4 (45 enodes) 1540202386.542 * * [misc]simplify: iters left: 3 (90 enodes) 1540202386.558 * * [misc]simplify: iters left: 2 (155 enodes) 1540202386.589 * * [misc]simplify: iters left: 1 (239 enodes) 1540202386.643 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202386.643 * [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))))))) 1540202386.643 * * * * [misc]progress: [ 1567 / 6878 ] simplifiying candidate # 1540202386.643 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202386.643 * * [misc]simplify: iters left: 6 (13 enodes) 1540202386.645 * * [misc]simplify: iters left: 5 (22 enodes) 1540202386.649 * * [misc]simplify: iters left: 4 (33 enodes) 1540202386.653 * * [misc]simplify: iters left: 3 (35 enodes) 1540202386.656 * * [misc]simplify: iters left: 2 (36 enodes) 1540202386.659 * * [misc]simplify: iters left: 1 (37 enodes) 1540202386.662 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202386.662 * [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)))))))) 1540202386.662 * [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)))))) 1540202386.662 * * [misc]simplify: iters left: 6 (18 enodes) 1540202386.665 * * [misc]simplify: iters left: 5 (27 enodes) 1540202386.668 * * [misc]simplify: iters left: 4 (45 enodes) 1540202386.675 * * [misc]simplify: iters left: 3 (90 enodes) 1540202386.692 * * [misc]simplify: iters left: 2 (155 enodes) 1540202386.723 * * [misc]simplify: iters left: 1 (239 enodes) 1540202386.776 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540202386.776 * [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))))))) 1540202386.776 * * * * [misc]progress: [ 1568 / 6878 ] simplifiying candidate # 1540202386.777 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 1)) 1540202386.777 * * [misc]simplify: iters left: 5 (7 enodes) 1540202386.778 * * [misc]simplify: iters left: 4 (12 enodes) 1540202386.779 * [exit]simplify: Simplified to (sqrt PI) 1540202386.779 * [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))))))) 1540202386.779 * [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))))) 1540202386.779 * * [misc]simplify: iters left: 6 (17 enodes) 1540202386.782 * * [misc]simplify: iters left: 5 (26 enodes) 1540202386.785 * * [misc]simplify: iters left: 4 (44 enodes) 1540202386.792 * * [misc]simplify: iters left: 3 (89 enodes) 1540202386.807 * * [misc]simplify: iters left: 2 (154 enodes) 1540202386.839 * * [misc]simplify: iters left: 1 (238 enodes) 1540202386.894 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540202386.894 * [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))))))) 1540202386.894 * * * * [misc]progress: [ 1569 / 6878 ] simplifiying candidate # 1540202386.894 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) 1) 1540202386.894 * * [misc]simplify: iters left: 5 (6 enodes) 1540202386.896 * * [misc]simplify: iters left: 4 (11 enodes) 1540202386.896 * [exit]simplify: Simplified to (sqrt PI) 1540202386.896 * [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))))))) 1540202386.897 * [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))))) 1540202386.897 * * [misc]simplify: iters left: 6 (17 enodes) 1540202386.899 * * [misc]simplify: iters left: 5 (26 enodes) 1540202386.903 * * [misc]simplify: iters left: 4 (44 enodes) 1540202386.909 * * [misc]simplify: iters left: 3 (89 enodes) 1540202386.925 * * [misc]simplify: iters left: 2 (154 enodes) 1540202386.957 * * [misc]simplify: iters left: 1 (238 enodes) 1540202387.011 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540202387.011 * [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))))))) 1540202387.011 * * * * [misc]progress: [ 1570 / 6878 ] simplifiying candidate # 1540202387.012 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (sqrt (sqrt k))) 1540202387.012 * * [misc]simplify: iters left: 5 (9 enodes) 1540202387.013 * * [misc]simplify: iters left: 4 (14 enodes) 1540202387.015 * * [misc]simplify: iters left: 3 (19 enodes) 1540202387.017 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202387.017 * [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))))))) 1540202387.017 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202387.017 * * [misc]simplify: iters left: 6 (18 enodes) 1540202387.020 * * [misc]simplify: iters left: 5 (29 enodes) 1540202387.024 * * [misc]simplify: iters left: 4 (46 enodes) 1540202387.031 * * [misc]simplify: iters left: 3 (98 enodes) 1540202387.048 * * [misc]simplify: iters left: 2 (205 enodes) 1540202387.109 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540202387.109 * [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)))))) 1540202387.109 * * * * [misc]progress: [ 1571 / 6878 ] simplifiying candidate # 1540202387.109 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202387.109 * * [misc]simplify: iters left: 6 (12 enodes) 1540202387.112 * * [misc]simplify: iters left: 5 (20 enodes) 1540202387.115 * * [misc]simplify: iters left: 4 (31 enodes) 1540202387.121 * * [misc]simplify: iters left: 3 (41 enodes) 1540202387.126 * * [misc]simplify: iters left: 2 (51 enodes) 1540202387.132 * * [misc]simplify: iters left: 1 (66 enodes) 1540202387.140 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540202387.140 * [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))))) 1540202387.140 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540202387.141 * * [misc]simplify: iters left: 6 (16 enodes) 1540202387.143 * * [misc]simplify: iters left: 5 (23 enodes) 1540202387.146 * * [misc]simplify: iters left: 4 (34 enodes) 1540202387.150 * * [misc]simplify: iters left: 3 (49 enodes) 1540202387.157 * * [misc]simplify: iters left: 2 (66 enodes) 1540202387.165 * * [misc]simplify: iters left: 1 (83 enodes) 1540202387.177 * [exit]simplify: Simplified to (* (/ (pow n (- 1/2 (/ k 2))) (pow 2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540202387.177 * [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)))))) 1540202387.177 * * * * [misc]progress: [ 1572 / 6878 ] simplifiying candidate # 1540202387.177 * [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))))))) 1540202387.177 * * [misc]simplify: iters left: 6 (15 enodes) 1540202387.179 * * [misc]simplify: iters left: 5 (22 enodes) 1540202387.182 * * [misc]simplify: iters left: 4 (31 enodes) 1540202387.187 * * [misc]simplify: iters left: 3 (36 enodes) 1540202387.191 * * [misc]simplify: iters left: 2 (37 enodes) 1540202387.195 * [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)))))) 1540202387.195 * [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)))))))) 1540202387.196 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202387.196 * * [misc]simplify: iters left: 6 (19 enodes) 1540202387.198 * * [misc]simplify: iters left: 5 (28 enodes) 1540202387.202 * * [misc]simplify: iters left: 4 (39 enodes) 1540202387.208 * * [misc]simplify: iters left: 3 (66 enodes) 1540202387.217 * * [misc]simplify: iters left: 2 (89 enodes) 1540202387.228 * * [misc]simplify: iters left: 1 (136 enodes) 1540202387.247 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202387.247 * [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)))))))) 1540202387.247 * * * * [misc]progress: [ 1573 / 6878 ] simplifiying candidate # 1540202387.247 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202387.247 * * [misc]simplify: iters left: 6 (14 enodes) 1540202387.249 * * [misc]simplify: iters left: 5 (19 enodes) 1540202387.252 * * [misc]simplify: iters left: 4 (25 enodes) 1540202387.256 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202387.256 * [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)))))))) 1540202387.256 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202387.256 * * [misc]simplify: iters left: 6 (19 enodes) 1540202387.258 * * [misc]simplify: iters left: 5 (28 enodes) 1540202387.262 * * [misc]simplify: iters left: 4 (39 enodes) 1540202387.268 * * [misc]simplify: iters left: 3 (66 enodes) 1540202387.277 * * [misc]simplify: iters left: 2 (89 enodes) 1540202387.289 * * [misc]simplify: iters left: 1 (136 enodes) 1540202387.307 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202387.307 * [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)))))))) 1540202387.307 * * * * [misc]progress: [ 1574 / 6878 ] simplifiying candidate # 1540202387.307 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202387.307 * * [misc]simplify: iters left: 6 (13 enodes) 1540202387.310 * * [misc]simplify: iters left: 5 (21 enodes) 1540202387.313 * * [misc]simplify: iters left: 4 (37 enodes) 1540202387.320 * * [misc]simplify: iters left: 3 (78 enodes) 1540202387.334 * * [misc]simplify: iters left: 2 (140 enodes) 1540202387.357 * * [misc]simplify: iters left: 1 (187 enodes) 1540202387.393 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202387.393 * [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))))))) 1540202387.393 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202387.393 * * [misc]simplify: iters left: 6 (19 enodes) 1540202387.396 * * [misc]simplify: iters left: 5 (30 enodes) 1540202387.400 * * [misc]simplify: iters left: 4 (49 enodes) 1540202387.408 * * [misc]simplify: iters left: 3 (104 enodes) 1540202387.426 * * [misc]simplify: iters left: 2 (212 enodes) 1540202387.484 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540202387.484 * [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))))))) 1540202387.484 * * * * [misc]progress: [ 1575 / 6878 ] simplifiying candidate # 1540202387.484 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540202387.484 * * [misc]simplify: iters left: 6 (13 enodes) 1540202387.487 * * [misc]simplify: iters left: 5 (21 enodes) 1540202387.490 * * [misc]simplify: iters left: 4 (37 enodes) 1540202387.496 * * [misc]simplify: iters left: 3 (78 enodes) 1540202387.512 * * [misc]simplify: iters left: 2 (140 enodes) 1540202387.535 * * [misc]simplify: iters left: 1 (187 enodes) 1540202387.571 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202387.571 * [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))))))) 1540202387.571 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202387.571 * * [misc]simplify: iters left: 6 (19 enodes) 1540202387.574 * * [misc]simplify: iters left: 5 (30 enodes) 1540202387.578 * * [misc]simplify: iters left: 4 (49 enodes) 1540202387.586 * * [misc]simplify: iters left: 3 (104 enodes) 1540202387.603 * * [misc]simplify: iters left: 2 (212 enodes) 1540202387.661 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540202387.661 * [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))))))) 1540202387.661 * * * * [misc]progress: [ 1576 / 6878 ] simplifiying candidate # 1540202387.661 * [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))))))) 1540202387.661 * * [misc]simplify: iters left: 6 (17 enodes) 1540202387.664 * * [misc]simplify: iters left: 5 (30 enodes) 1540202387.669 * * [misc]simplify: iters left: 4 (66 enodes) 1540202387.680 * * [misc]simplify: iters left: 3 (149 enodes) 1540202387.713 * * [misc]simplify: iters left: 2 (309 enodes) 1540202387.797 * * [misc]simplify: iters left: 1 (496 enodes) 1540202387.987 * [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)))))) 1540202387.988 * [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)))))))) 1540202387.988 * [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)))))) 1540202387.988 * * [misc]simplify: iters left: 6 (20 enodes) 1540202387.991 * * [misc]simplify: iters left: 5 (31 enodes) 1540202387.995 * * [misc]simplify: iters left: 4 (50 enodes) 1540202388.003 * * [misc]simplify: iters left: 3 (105 enodes) 1540202388.022 * * [misc]simplify: iters left: 2 (238 enodes) 1540202388.095 * [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)))))) 1540202388.095 * [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)))))))) 1540202388.096 * * * * [misc]progress: [ 1577 / 6878 ] simplifiying candidate # 1540202388.096 * [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)))))) 1540202388.096 * * [misc]simplify: iters left: 6 (16 enodes) 1540202388.098 * * [misc]simplify: iters left: 5 (25 enodes) 1540202388.102 * * [misc]simplify: iters left: 4 (44 enodes) 1540202388.108 * * [misc]simplify: iters left: 3 (85 enodes) 1540202388.122 * * [misc]simplify: iters left: 2 (147 enodes) 1540202388.147 * * [misc]simplify: iters left: 1 (195 enodes) 1540202388.185 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k))))) 1540202388.185 * [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)))))))) 1540202388.185 * [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)))))) 1540202388.185 * * [misc]simplify: iters left: 6 (20 enodes) 1540202388.188 * * [misc]simplify: iters left: 5 (31 enodes) 1540202388.192 * * [misc]simplify: iters left: 4 (50 enodes) 1540202388.200 * * [misc]simplify: iters left: 3 (105 enodes) 1540202388.220 * * [misc]simplify: iters left: 2 (238 enodes) 1540202388.292 * [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)))))) 1540202388.292 * [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)))))))) 1540202388.292 * * * * [misc]progress: [ 1578 / 6878 ] simplifiying candidate # 1540202388.292 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202388.293 * * [misc]simplify: iters left: 6 (12 enodes) 1540202388.294 * * [misc]simplify: iters left: 5 (21 enodes) 1540202388.298 * * [misc]simplify: iters left: 4 (39 enodes) 1540202388.304 * * [misc]simplify: iters left: 3 (93 enodes) 1540202388.327 * * [misc]simplify: iters left: 2 (280 enodes) 1540202388.430 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1540202388.430 * [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))))))) 1540202388.430 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202388.431 * * [misc]simplify: iters left: 6 (19 enodes) 1540202388.433 * * [misc]simplify: iters left: 5 (30 enodes) 1540202388.437 * * [misc]simplify: iters left: 4 (49 enodes) 1540202388.445 * * [misc]simplify: iters left: 3 (104 enodes) 1540202388.465 * * [misc]simplify: iters left: 2 (212 enodes) 1540202388.521 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540202388.521 * [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))))))) 1540202388.521 * * * * [misc]progress: [ 1579 / 6878 ] simplifiying candidate # 1540202388.521 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202388.521 * * [misc]simplify: iters left: 6 (14 enodes) 1540202388.525 * * [misc]simplify: iters left: 5 (21 enodes) 1540202388.529 * * [misc]simplify: iters left: 4 (30 enodes) 1540202388.533 * * [misc]simplify: iters left: 3 (44 enodes) 1540202388.539 * * [misc]simplify: iters left: 2 (55 enodes) 1540202388.546 * * [misc]simplify: iters left: 1 (70 enodes) 1540202388.556 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202388.556 * [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))))))) 1540202388.556 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202388.556 * * [misc]simplify: iters left: 6 (19 enodes) 1540202388.559 * * [misc]simplify: iters left: 5 (30 enodes) 1540202388.563 * * [misc]simplify: iters left: 4 (49 enodes) 1540202388.571 * * [misc]simplify: iters left: 3 (104 enodes) 1540202388.589 * * [misc]simplify: iters left: 2 (212 enodes) 1540202388.646 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540202388.646 * [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))))))) 1540202388.646 * * * * [misc]progress: [ 1580 / 6878 ] simplifiying candidate # 1540202388.646 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202388.647 * * [misc]simplify: iters left: 6 (14 enodes) 1540202388.649 * * [misc]simplify: iters left: 5 (21 enodes) 1540202388.652 * * [misc]simplify: iters left: 4 (30 enodes) 1540202388.658 * * [misc]simplify: iters left: 3 (44 enodes) 1540202388.664 * * [misc]simplify: iters left: 2 (55 enodes) 1540202388.671 * * [misc]simplify: iters left: 1 (70 enodes) 1540202388.682 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202388.682 * [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))))))) 1540202388.682 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202388.682 * * [misc]simplify: iters left: 6 (19 enodes) 1540202388.684 * * [misc]simplify: iters left: 5 (30 enodes) 1540202388.688 * * [misc]simplify: iters left: 4 (49 enodes) 1540202388.696 * * [misc]simplify: iters left: 3 (104 enodes) 1540202388.714 * * [misc]simplify: iters left: 2 (212 enodes) 1540202388.772 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540202388.772 * [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))))))) 1540202388.772 * * * * [misc]progress: [ 1581 / 6878 ] simplifiying candidate # 1540202388.772 * [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))))))) 1540202388.772 * * [misc]simplify: iters left: 6 (18 enodes) 1540202388.775 * * [misc]simplify: iters left: 5 (28 enodes) 1540202388.778 * * [misc]simplify: iters left: 4 (46 enodes) 1540202388.787 * * [misc]simplify: iters left: 3 (79 enodes) 1540202388.799 * * [misc]simplify: iters left: 2 (134 enodes) 1540202388.821 * * [misc]simplify: iters left: 1 (199 enodes) 1540202388.860 * [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)))) 1540202388.860 * [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)))))))) 1540202388.861 * [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)))))) 1540202388.861 * * [misc]simplify: iters left: 6 (20 enodes) 1540202388.863 * * [misc]simplify: iters left: 5 (31 enodes) 1540202388.868 * * [misc]simplify: iters left: 4 (50 enodes) 1540202388.875 * * [misc]simplify: iters left: 3 (105 enodes) 1540202388.895 * * [misc]simplify: iters left: 2 (238 enodes) 1540202388.967 * [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)))))) 1540202388.968 * [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)))))))) 1540202388.968 * * * * [misc]progress: [ 1582 / 6878 ] simplifiying candidate # 1540202388.968 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202388.968 * * [misc]simplify: iters left: 6 (17 enodes) 1540202388.970 * * [misc]simplify: iters left: 5 (25 enodes) 1540202388.975 * * [misc]simplify: iters left: 4 (37 enodes) 1540202388.980 * * [misc]simplify: iters left: 3 (51 enodes) 1540202388.986 * * [misc]simplify: iters left: 2 (62 enodes) 1540202388.993 * * [misc]simplify: iters left: 1 (77 enodes) 1540202389.004 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1540202389.004 * [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)))))))) 1540202389.004 * [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)))))) 1540202389.004 * * [misc]simplify: iters left: 6 (20 enodes) 1540202389.007 * * [misc]simplify: iters left: 5 (31 enodes) 1540202389.011 * * [misc]simplify: iters left: 4 (50 enodes) 1540202389.019 * * [misc]simplify: iters left: 3 (105 enodes) 1540202389.039 * * [misc]simplify: iters left: 2 (238 enodes) 1540202389.112 * [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)))))) 1540202389.112 * [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)))))))) 1540202389.112 * * * * [misc]progress: [ 1583 / 6878 ] simplifiying candidate # 1540202389.112 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202389.112 * * [misc]simplify: iters left: 6 (13 enodes) 1540202389.114 * * [misc]simplify: iters left: 5 (20 enodes) 1540202389.117 * * [misc]simplify: iters left: 4 (30 enodes) 1540202389.121 * * [misc]simplify: iters left: 3 (46 enodes) 1540202389.127 * * [misc]simplify: iters left: 2 (60 enodes) 1540202389.135 * * [misc]simplify: iters left: 1 (96 enodes) 1540202389.154 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202389.154 * [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))))))) 1540202389.154 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202389.154 * * [misc]simplify: iters left: 6 (19 enodes) 1540202389.157 * * [misc]simplify: iters left: 5 (30 enodes) 1540202389.161 * * [misc]simplify: iters left: 4 (49 enodes) 1540202389.170 * * [misc]simplify: iters left: 3 (104 enodes) 1540202389.188 * * [misc]simplify: iters left: 2 (212 enodes) 1540202389.246 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540202389.246 * [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))))))) 1540202389.246 * * * * [misc]progress: [ 1584 / 6878 ] simplifiying candidate # 1540202389.246 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202389.246 * * [misc]simplify: iters left: 6 (12 enodes) 1540202389.248 * * [misc]simplify: iters left: 5 (18 enodes) 1540202389.251 * * [misc]simplify: iters left: 4 (27 enodes) 1540202389.255 * * [misc]simplify: iters left: 3 (41 enodes) 1540202389.261 * * [misc]simplify: iters left: 2 (52 enodes) 1540202389.267 * * [misc]simplify: iters left: 1 (67 enodes) 1540202389.277 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202389.277 * [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))))))) 1540202389.277 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202389.277 * * [misc]simplify: iters left: 6 (19 enodes) 1540202389.280 * * [misc]simplify: iters left: 5 (30 enodes) 1540202389.284 * * [misc]simplify: iters left: 4 (49 enodes) 1540202389.292 * * [misc]simplify: iters left: 3 (104 enodes) 1540202389.311 * * [misc]simplify: iters left: 2 (212 enodes) 1540202389.369 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540202389.369 * [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))))))) 1540202389.369 * * * * [misc]progress: [ 1585 / 6878 ] simplifiying candidate # 1540202389.369 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202389.369 * * [misc]simplify: iters left: 6 (12 enodes) 1540202389.372 * * [misc]simplify: iters left: 5 (18 enodes) 1540202389.375 * * [misc]simplify: iters left: 4 (27 enodes) 1540202389.379 * * [misc]simplify: iters left: 3 (41 enodes) 1540202389.384 * * [misc]simplify: iters left: 2 (52 enodes) 1540202389.391 * * [misc]simplify: iters left: 1 (67 enodes) 1540202389.401 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202389.401 * [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))))))) 1540202389.401 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202389.401 * * [misc]simplify: iters left: 6 (19 enodes) 1540202389.403 * * [misc]simplify: iters left: 5 (30 enodes) 1540202389.407 * * [misc]simplify: iters left: 4 (49 enodes) 1540202389.415 * * [misc]simplify: iters left: 3 (104 enodes) 1540202389.435 * * [misc]simplify: iters left: 2 (212 enodes) 1540202389.493 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540202389.493 * [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))))))) 1540202389.493 * * * * [misc]progress: [ 1586 / 6878 ] simplifiying candidate # 1540202389.493 * [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))))))) 1540202389.493 * * [misc]simplify: iters left: 6 (16 enodes) 1540202389.495 * * [misc]simplify: iters left: 5 (25 enodes) 1540202389.499 * * [misc]simplify: iters left: 4 (43 enodes) 1540202389.505 * * [misc]simplify: iters left: 3 (76 enodes) 1540202389.517 * * [misc]simplify: iters left: 2 (131 enodes) 1540202389.539 * * [misc]simplify: iters left: 1 (198 enodes) 1540202389.578 * [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))))) 1540202389.578 * [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)))))))) 1540202389.578 * [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)))))) 1540202389.578 * * [misc]simplify: iters left: 6 (20 enodes) 1540202389.581 * * [misc]simplify: iters left: 5 (31 enodes) 1540202389.585 * * [misc]simplify: iters left: 4 (50 enodes) 1540202389.593 * * [misc]simplify: iters left: 3 (105 enodes) 1540202389.612 * * [misc]simplify: iters left: 2 (238 enodes) 1540202389.686 * [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)))))) 1540202389.686 * [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)))))))) 1540202389.686 * * * * [misc]progress: [ 1587 / 6878 ] simplifiying candidate # 1540202389.686 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202389.686 * * [misc]simplify: iters left: 6 (15 enodes) 1540202389.688 * * [misc]simplify: iters left: 5 (22 enodes) 1540202389.691 * * [misc]simplify: iters left: 4 (34 enodes) 1540202389.696 * * [misc]simplify: iters left: 3 (48 enodes) 1540202389.701 * * [misc]simplify: iters left: 2 (59 enodes) 1540202389.708 * * [misc]simplify: iters left: 1 (74 enodes) 1540202389.718 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202389.719 * [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)))))))) 1540202389.719 * [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)))))) 1540202389.719 * * [misc]simplify: iters left: 6 (20 enodes) 1540202389.722 * * [misc]simplify: iters left: 5 (31 enodes) 1540202389.726 * * [misc]simplify: iters left: 4 (50 enodes) 1540202389.734 * * [misc]simplify: iters left: 3 (105 enodes) 1540202389.754 * * [misc]simplify: iters left: 2 (238 enodes) 1540202389.827 * [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)))))) 1540202389.827 * [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)))))))) 1540202389.827 * * * * [misc]progress: [ 1588 / 6878 ] simplifiying candidate # 1540202389.827 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202389.827 * * [misc]simplify: iters left: 6 (11 enodes) 1540202389.829 * * [misc]simplify: iters left: 5 (18 enodes) 1540202389.831 * * [misc]simplify: iters left: 4 (31 enodes) 1540202389.835 * * [misc]simplify: iters left: 3 (40 enodes) 1540202389.839 * * [misc]simplify: iters left: 2 (53 enodes) 1540202389.846 * * [misc]simplify: iters left: 1 (78 enodes) 1540202389.858 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202389.858 * [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))))))) 1540202389.858 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202389.858 * * [misc]simplify: iters left: 6 (19 enodes) 1540202389.860 * * [misc]simplify: iters left: 5 (30 enodes) 1540202389.865 * * [misc]simplify: iters left: 4 (49 enodes) 1540202389.874 * * [misc]simplify: iters left: 3 (104 enodes) 1540202389.892 * * [misc]simplify: iters left: 2 (212 enodes) 1540202389.950 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540202389.950 * [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))))))) 1540202389.950 * * * * [misc]progress: [ 1589 / 6878 ] simplifiying candidate # 1540202389.950 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt 1) (pow 2 1/2))) 1540202389.950 * * [misc]simplify: iters left: 6 (13 enodes) 1540202389.953 * * [misc]simplify: iters left: 5 (21 enodes) 1540202389.956 * * [misc]simplify: iters left: 4 (33 enodes) 1540202389.961 * * [misc]simplify: iters left: 3 (49 enodes) 1540202389.967 * * [misc]simplify: iters left: 2 (66 enodes) 1540202389.975 * * [misc]simplify: iters left: 1 (89 enodes) 1540202389.984 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540202389.984 * [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))))))) 1540202389.985 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202389.985 * * [misc]simplify: iters left: 6 (18 enodes) 1540202389.987 * * [misc]simplify: iters left: 5 (29 enodes) 1540202389.991 * * [misc]simplify: iters left: 4 (48 enodes) 1540202389.999 * * [misc]simplify: iters left: 3 (103 enodes) 1540202390.019 * * [misc]simplify: iters left: 2 (234 enodes) 1540202390.096 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540202390.096 * [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)))))) 1540202390.096 * * * * [misc]progress: [ 1590 / 6878 ] simplifiying candidate # 1540202390.096 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt 1) (pow 2 1/2))) 1540202390.096 * * [misc]simplify: iters left: 6 (13 enodes) 1540202390.099 * * [misc]simplify: iters left: 5 (21 enodes) 1540202390.102 * * [misc]simplify: iters left: 4 (33 enodes) 1540202390.106 * * [misc]simplify: iters left: 3 (49 enodes) 1540202390.113 * * [misc]simplify: iters left: 2 (66 enodes) 1540202390.121 * * [misc]simplify: iters left: 1 (89 enodes) 1540202390.132 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540202390.132 * [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))))))) 1540202390.132 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202390.132 * * [misc]simplify: iters left: 6 (18 enodes) 1540202390.135 * * [misc]simplify: iters left: 5 (29 enodes) 1540202390.139 * * [misc]simplify: iters left: 4 (48 enodes) 1540202390.146 * * [misc]simplify: iters left: 3 (103 enodes) 1540202390.165 * * [misc]simplify: iters left: 2 (234 enodes) 1540202390.242 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540202390.242 * [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)))))) 1540202390.242 * * * * [misc]progress: [ 1591 / 6878 ] simplifiying candidate # 1540202390.242 * [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))))))) 1540202390.242 * * [misc]simplify: iters left: 6 (17 enodes) 1540202390.245 * * [misc]simplify: iters left: 5 (28 enodes) 1540202390.249 * * [misc]simplify: iters left: 4 (50 enodes) 1540202390.257 * * [misc]simplify: iters left: 3 (92 enodes) 1540202390.273 * * [misc]simplify: iters left: 2 (174 enodes) 1540202390.306 * * [misc]simplify: iters left: 1 (387 enodes) 1540202390.436 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540202390.436 * [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)))))))) 1540202390.436 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202390.436 * * [misc]simplify: iters left: 6 (19 enodes) 1540202390.439 * * [misc]simplify: iters left: 5 (30 enodes) 1540202390.443 * * [misc]simplify: iters left: 4 (49 enodes) 1540202390.451 * * [misc]simplify: iters left: 3 (104 enodes) 1540202390.469 * * [misc]simplify: iters left: 2 (212 enodes) 1540202390.526 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202390.527 * [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)))))))) 1540202390.527 * * * * [misc]progress: [ 1592 / 6878 ] simplifiying candidate # 1540202390.527 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202390.527 * * [misc]simplify: iters left: 6 (16 enodes) 1540202390.530 * * [misc]simplify: iters left: 5 (25 enodes) 1540202390.533 * * [misc]simplify: iters left: 4 (40 enodes) 1540202390.538 * * [misc]simplify: iters left: 3 (56 enodes) 1540202390.545 * * [misc]simplify: iters left: 2 (77 enodes) 1540202390.554 * * [misc]simplify: iters left: 1 (131 enodes) 1540202390.577 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540202390.577 * [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)))))))) 1540202390.577 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202390.577 * * [misc]simplify: iters left: 6 (19 enodes) 1540202390.580 * * [misc]simplify: iters left: 5 (30 enodes) 1540202390.584 * * [misc]simplify: iters left: 4 (49 enodes) 1540202390.591 * * [misc]simplify: iters left: 3 (104 enodes) 1540202390.609 * * [misc]simplify: iters left: 2 (212 enodes) 1540202390.668 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202390.668 * [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)))))))) 1540202390.668 * * * * [misc]progress: [ 1593 / 6878 ] simplifiying candidate # 1540202390.668 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt 1) 1)) 1540202390.669 * * [misc]simplify: iters left: 6 (11 enodes) 1540202390.671 * * [misc]simplify: iters left: 5 (18 enodes) 1540202390.673 * * [misc]simplify: iters left: 4 (21 enodes) 1540202390.675 * * [misc]simplify: iters left: 3 (26 enodes) 1540202390.677 * * [misc]simplify: iters left: 2 (30 enodes) 1540202390.681 * * [misc]simplify: iters left: 1 (46 enodes) 1540202390.688 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202390.688 * [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))))))) 1540202390.688 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202390.688 * * [misc]simplify: iters left: 6 (18 enodes) 1540202390.691 * * [misc]simplify: iters left: 5 (29 enodes) 1540202390.696 * * [misc]simplify: iters left: 4 (48 enodes) 1540202390.704 * * [misc]simplify: iters left: 3 (103 enodes) 1540202390.722 * * [misc]simplify: iters left: 2 (234 enodes) 1540202390.799 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540202390.799 * [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))))))) 1540202390.800 * * * * [misc]progress: [ 1594 / 6878 ] simplifiying candidate # 1540202390.800 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202390.800 * * [misc]simplify: iters left: 6 (12 enodes) 1540202390.802 * * [misc]simplify: iters left: 5 (18 enodes) 1540202390.805 * * [misc]simplify: iters left: 4 (27 enodes) 1540202390.809 * * [misc]simplify: iters left: 3 (41 enodes) 1540202390.814 * * [misc]simplify: iters left: 2 (52 enodes) 1540202390.823 * * [misc]simplify: iters left: 1 (67 enodes) 1540202390.833 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202390.833 * [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))))))) 1540202390.833 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202390.833 * * [misc]simplify: iters left: 6 (19 enodes) 1540202390.835 * * [misc]simplify: iters left: 5 (30 enodes) 1540202390.840 * * [misc]simplify: iters left: 4 (49 enodes) 1540202390.847 * * [misc]simplify: iters left: 3 (104 enodes) 1540202390.865 * * [misc]simplify: iters left: 2 (212 enodes) 1540202390.923 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540202390.923 * [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))))))) 1540202390.924 * * * * [misc]progress: [ 1595 / 6878 ] simplifiying candidate # 1540202390.924 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202390.924 * * [misc]simplify: iters left: 6 (12 enodes) 1540202390.926 * * [misc]simplify: iters left: 5 (18 enodes) 1540202390.929 * * [misc]simplify: iters left: 4 (27 enodes) 1540202390.933 * * [misc]simplify: iters left: 3 (41 enodes) 1540202390.938 * * [misc]simplify: iters left: 2 (52 enodes) 1540202390.945 * * [misc]simplify: iters left: 1 (67 enodes) 1540202390.957 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202390.957 * [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))))))) 1540202390.957 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202390.957 * * [misc]simplify: iters left: 6 (19 enodes) 1540202390.960 * * [misc]simplify: iters left: 5 (30 enodes) 1540202390.964 * * [misc]simplify: iters left: 4 (49 enodes) 1540202390.971 * * [misc]simplify: iters left: 3 (104 enodes) 1540202390.989 * * [misc]simplify: iters left: 2 (212 enodes) 1540202391.047 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540202391.047 * [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))))))) 1540202391.047 * * * * [misc]progress: [ 1596 / 6878 ] simplifiying candidate # 1540202391.048 * [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))))))) 1540202391.048 * * [misc]simplify: iters left: 6 (16 enodes) 1540202391.050 * * [misc]simplify: iters left: 5 (25 enodes) 1540202391.053 * * [misc]simplify: iters left: 4 (43 enodes) 1540202391.060 * * [misc]simplify: iters left: 3 (76 enodes) 1540202391.072 * * [misc]simplify: iters left: 2 (131 enodes) 1540202391.095 * * [misc]simplify: iters left: 1 (198 enodes) 1540202391.133 * [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))))) 1540202391.133 * [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)))))))) 1540202391.133 * [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)))))) 1540202391.133 * * [misc]simplify: iters left: 6 (20 enodes) 1540202391.136 * * [misc]simplify: iters left: 5 (31 enodes) 1540202391.141 * * [misc]simplify: iters left: 4 (50 enodes) 1540202391.149 * * [misc]simplify: iters left: 3 (105 enodes) 1540202391.168 * * [misc]simplify: iters left: 2 (238 enodes) 1540202391.241 * [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)))))) 1540202391.241 * [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)))))))) 1540202391.241 * * * * [misc]progress: [ 1597 / 6878 ] simplifiying candidate # 1540202391.241 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202391.241 * * [misc]simplify: iters left: 6 (15 enodes) 1540202391.243 * * [misc]simplify: iters left: 5 (22 enodes) 1540202391.246 * * [misc]simplify: iters left: 4 (34 enodes) 1540202391.250 * * [misc]simplify: iters left: 3 (48 enodes) 1540202391.256 * * [misc]simplify: iters left: 2 (59 enodes) 1540202391.263 * * [misc]simplify: iters left: 1 (74 enodes) 1540202391.275 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202391.275 * [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)))))))) 1540202391.275 * [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)))))) 1540202391.275 * * [misc]simplify: iters left: 6 (20 enodes) 1540202391.278 * * [misc]simplify: iters left: 5 (31 enodes) 1540202391.282 * * [misc]simplify: iters left: 4 (50 enodes) 1540202391.290 * * [misc]simplify: iters left: 3 (105 enodes) 1540202391.309 * * [misc]simplify: iters left: 2 (238 enodes) 1540202391.381 * [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)))))) 1540202391.382 * [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)))))))) 1540202391.382 * * * * [misc]progress: [ 1598 / 6878 ] simplifiying candidate # 1540202391.382 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202391.382 * * [misc]simplify: iters left: 6 (11 enodes) 1540202391.383 * * [misc]simplify: iters left: 5 (18 enodes) 1540202391.386 * * [misc]simplify: iters left: 4 (31 enodes) 1540202391.390 * * [misc]simplify: iters left: 3 (40 enodes) 1540202391.396 * * [misc]simplify: iters left: 2 (53 enodes) 1540202391.402 * * [misc]simplify: iters left: 1 (78 enodes) 1540202391.414 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202391.414 * [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))))))) 1540202391.414 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202391.414 * * [misc]simplify: iters left: 6 (19 enodes) 1540202391.417 * * [misc]simplify: iters left: 5 (30 enodes) 1540202391.421 * * [misc]simplify: iters left: 4 (49 enodes) 1540202391.429 * * [misc]simplify: iters left: 3 (104 enodes) 1540202391.447 * * [misc]simplify: iters left: 2 (212 enodes) 1540202391.504 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540202391.504 * [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))))))) 1540202391.504 * * * * [misc]progress: [ 1599 / 6878 ] simplifiying candidate # 1540202391.505 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ 1 (pow 2 1/2))) 1540202391.505 * * [misc]simplify: iters left: 6 (12 enodes) 1540202391.507 * * [misc]simplify: iters left: 5 (20 enodes) 1540202391.510 * * [misc]simplify: iters left: 4 (31 enodes) 1540202391.515 * * [misc]simplify: iters left: 3 (49 enodes) 1540202391.521 * * [misc]simplify: iters left: 2 (67 enodes) 1540202391.530 * * [misc]simplify: iters left: 1 (76 enodes) 1540202391.538 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540202391.539 * [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))))))) 1540202391.539 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202391.539 * * [misc]simplify: iters left: 6 (18 enodes) 1540202391.541 * * [misc]simplify: iters left: 5 (29 enodes) 1540202391.545 * * [misc]simplify: iters left: 4 (48 enodes) 1540202391.553 * * [misc]simplify: iters left: 3 (103 enodes) 1540202391.571 * * [misc]simplify: iters left: 2 (234 enodes) 1540202391.648 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540202391.648 * [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)))))) 1540202391.649 * * * * [misc]progress: [ 1600 / 6878 ] simplifiying candidate # 1540202391.649 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ 1 (pow 2 1/2))) 1540202391.649 * * [misc]simplify: iters left: 6 (12 enodes) 1540202391.651 * * [misc]simplify: iters left: 5 (20 enodes) 1540202391.656 * * [misc]simplify: iters left: 4 (31 enodes) 1540202391.661 * * [misc]simplify: iters left: 3 (49 enodes) 1540202391.668 * * [misc]simplify: iters left: 2 (67 enodes) 1540202391.675 * * [misc]simplify: iters left: 1 (76 enodes) 1540202391.683 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540202391.683 * [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))))))) 1540202391.683 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202391.683 * * [misc]simplify: iters left: 6 (18 enodes) 1540202391.686 * * [misc]simplify: iters left: 5 (29 enodes) 1540202391.690 * * [misc]simplify: iters left: 4 (48 enodes) 1540202391.697 * * [misc]simplify: iters left: 3 (103 enodes) 1540202391.716 * * [misc]simplify: iters left: 2 (234 enodes) 1540202391.794 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540202391.794 * [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)))))) 1540202391.794 * * * * [misc]progress: [ 1601 / 6878 ] simplifiying candidate # 1540202391.794 * [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))))))) 1540202391.794 * * [misc]simplify: iters left: 6 (16 enodes) 1540202391.796 * * [misc]simplify: iters left: 5 (27 enodes) 1540202391.800 * * [misc]simplify: iters left: 4 (47 enodes) 1540202391.807 * * [misc]simplify: iters left: 3 (86 enodes) 1540202391.822 * * [misc]simplify: iters left: 2 (158 enodes) 1540202391.854 * * [misc]simplify: iters left: 1 (366 enodes) 1540202392.021 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540202392.021 * [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)))))))) 1540202392.021 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202392.022 * * [misc]simplify: iters left: 6 (19 enodes) 1540202392.024 * * [misc]simplify: iters left: 5 (30 enodes) 1540202392.028 * * [misc]simplify: iters left: 4 (49 enodes) 1540202392.036 * * [misc]simplify: iters left: 3 (104 enodes) 1540202392.054 * * [misc]simplify: iters left: 2 (212 enodes) 1540202392.112 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202392.112 * [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)))))))) 1540202392.112 * * * * [misc]progress: [ 1602 / 6878 ] simplifiying candidate # 1540202392.113 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202392.113 * * [misc]simplify: iters left: 6 (15 enodes) 1540202392.115 * * [misc]simplify: iters left: 5 (24 enodes) 1540202392.118 * * [misc]simplify: iters left: 4 (38 enodes) 1540202392.123 * * [misc]simplify: iters left: 3 (56 enodes) 1540202392.130 * * [misc]simplify: iters left: 2 (75 enodes) 1540202392.140 * * [misc]simplify: iters left: 1 (103 enodes) 1540202392.153 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540202392.153 * [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)))))))) 1540202392.153 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202392.153 * * [misc]simplify: iters left: 6 (19 enodes) 1540202392.156 * * [misc]simplify: iters left: 5 (30 enodes) 1540202392.160 * * [misc]simplify: iters left: 4 (49 enodes) 1540202392.168 * * [misc]simplify: iters left: 3 (104 enodes) 1540202392.186 * * [misc]simplify: iters left: 2 (212 enodes) 1540202392.243 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202392.243 * [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)))))))) 1540202392.244 * * * * [misc]progress: [ 1603 / 6878 ] simplifiying candidate # 1540202392.244 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ 1 1)) 1540202392.244 * * [misc]simplify: iters left: 6 (10 enodes) 1540202392.245 * * [misc]simplify: iters left: 5 (15 enodes) 1540202392.247 * * [misc]simplify: iters left: 4 (18 enodes) 1540202392.249 * * [misc]simplify: iters left: 3 (21 enodes) 1540202392.251 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202392.251 * [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))))))) 1540202392.251 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202392.251 * * [misc]simplify: iters left: 6 (18 enodes) 1540202392.254 * * [misc]simplify: iters left: 5 (29 enodes) 1540202392.258 * * [misc]simplify: iters left: 4 (48 enodes) 1540202392.265 * * [misc]simplify: iters left: 3 (103 enodes) 1540202392.285 * * [misc]simplify: iters left: 2 (234 enodes) 1540202392.362 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540202392.362 * [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))))))) 1540202392.363 * * * * [misc]progress: [ 1604 / 6878 ] simplifiying candidate # 1540202392.363 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) 1) 1540202392.364 * * [misc]simplify: iters left: 6 (9 enodes) 1540202392.366 * * [misc]simplify: iters left: 5 (14 enodes) 1540202392.369 * * [misc]simplify: iters left: 4 (17 enodes) 1540202392.374 * * [misc]simplify: iters left: 3 (20 enodes) 1540202392.378 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540202392.378 * [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))))))) 1540202392.378 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202392.378 * * [misc]simplify: iters left: 6 (18 enodes) 1540202392.384 * * [misc]simplify: iters left: 5 (29 enodes) 1540202392.389 * * [misc]simplify: iters left: 4 (48 enodes) 1540202392.397 * * [misc]simplify: iters left: 3 (103 enodes) 1540202392.417 * * [misc]simplify: iters left: 2 (234 enodes) 1540202392.494 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540202392.494 * [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))))))) 1540202392.494 * * * * [misc]progress: [ 1605 / 6878 ] simplifiying candidate # 1540202392.494 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (sqrt (sqrt k))) 1540202392.494 * * [misc]simplify: iters left: 6 (8 enodes) 1540202392.495 * * [misc]simplify: iters left: 5 (11 enodes) 1540202392.497 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540202392.497 * [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))))))) 1540202392.497 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202392.497 * * [misc]simplify: iters left: 6 (16 enodes) 1540202392.499 * * [misc]simplify: iters left: 5 (27 enodes) 1540202392.503 * * [misc]simplify: iters left: 4 (41 enodes) 1540202392.510 * * [misc]simplify: iters left: 3 (84 enodes) 1540202392.522 * * [misc]simplify: iters left: 2 (123 enodes) 1540202392.544 * * [misc]simplify: iters left: 1 (228 enodes) 1540202392.602 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))) 1540202392.602 * [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))))))) 1540202392.602 * * * * [misc]progress: [ 1606 / 6878 ] simplifiying candidate # 1540202392.603 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202392.603 * * [misc]simplify: iters left: 6 (11 enodes) 1540202392.605 * * [misc]simplify: iters left: 5 (17 enodes) 1540202392.607 * * [misc]simplify: iters left: 4 (26 enodes) 1540202392.611 * * [misc]simplify: iters left: 3 (35 enodes) 1540202392.616 * * [misc]simplify: iters left: 2 (39 enodes) 1540202392.620 * * [misc]simplify: iters left: 1 (45 enodes) 1540202392.626 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt k) (sqrt PI))) 1540202392.626 * [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))))) 1540202392.626 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540202392.626 * * [misc]simplify: iters left: 6 (15 enodes) 1540202392.628 * * [misc]simplify: iters left: 5 (24 enodes) 1540202392.631 * * [misc]simplify: iters left: 4 (35 enodes) 1540202392.637 * * [misc]simplify: iters left: 3 (62 enodes) 1540202392.645 * * [misc]simplify: iters left: 2 (105 enodes) 1540202392.662 * * [misc]simplify: iters left: 1 (176 enodes) 1540202392.688 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202392.688 * [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)))))) 1540202392.688 * * * * [misc]progress: [ 1607 / 6878 ] simplifiying candidate # 1540202392.689 * [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))))))) 1540202392.689 * * [misc]simplify: iters left: 6 (18 enodes) 1540202392.691 * * [misc]simplify: iters left: 5 (28 enodes) 1540202392.695 * * [misc]simplify: iters left: 4 (49 enodes) 1540202392.702 * * [misc]simplify: iters left: 3 (84 enodes) 1540202392.715 * * [misc]simplify: iters left: 2 (131 enodes) 1540202392.739 * * [misc]simplify: iters left: 1 (197 enodes) 1540202392.775 * [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))))))) 1540202392.775 * [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)))))))) 1540202392.775 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202392.775 * * [misc]simplify: iters left: 6 (17 enodes) 1540202392.777 * * [misc]simplify: iters left: 5 (22 enodes) 1540202392.780 * * [misc]simplify: iters left: 4 (26 enodes) 1540202392.784 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202392.784 * [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)))))))) 1540202392.784 * * * * [misc]progress: [ 1608 / 6878 ] simplifiying candidate # 1540202392.784 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202392.784 * * [misc]simplify: iters left: 6 (17 enodes) 1540202392.787 * * [misc]simplify: iters left: 5 (25 enodes) 1540202392.791 * * [misc]simplify: iters left: 4 (38 enodes) 1540202392.795 * * [misc]simplify: iters left: 3 (53 enodes) 1540202392.802 * * [misc]simplify: iters left: 2 (70 enodes) 1540202392.811 * * [misc]simplify: iters left: 1 (87 enodes) 1540202392.822 * [exit]simplify: Simplified to (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202392.822 * [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)))))))) 1540202392.822 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202392.823 * * [misc]simplify: iters left: 6 (17 enodes) 1540202392.825 * * [misc]simplify: iters left: 5 (22 enodes) 1540202392.828 * * [misc]simplify: iters left: 4 (26 enodes) 1540202392.831 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202392.831 * [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)))))))) 1540202392.831 * * * * [misc]progress: [ 1609 / 6878 ] simplifiying candidate # 1540202392.831 * [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))) 1540202392.831 * * [misc]simplify: iters left: 6 (16 enodes) 1540202392.834 * * [misc]simplify: iters left: 5 (27 enodes) 1540202392.839 * * [misc]simplify: iters left: 4 (55 enodes) 1540202392.849 * * [misc]simplify: iters left: 3 (157 enodes) 1540202392.894 * * [misc]simplify: iters left: 2 (411 enodes) 1540202393.075 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202393.075 * [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))))))) 1540202393.076 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202393.076 * * [misc]simplify: iters left: 6 (15 enodes) 1540202393.078 * * [misc]simplify: iters left: 5 (21 enodes) 1540202393.080 * * [misc]simplify: iters left: 4 (30 enodes) 1540202393.085 * * [misc]simplify: iters left: 3 (44 enodes) 1540202393.090 * * [misc]simplify: iters left: 2 (55 enodes) 1540202393.096 * * [misc]simplify: iters left: 1 (70 enodes) 1540202393.107 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540202393.107 * [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)))))) 1540202393.107 * * * * [misc]progress: [ 1610 / 6878 ] simplifiying candidate # 1540202393.107 * [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))) 1540202393.107 * * [misc]simplify: iters left: 6 (16 enodes) 1540202393.110 * * [misc]simplify: iters left: 5 (27 enodes) 1540202393.114 * * [misc]simplify: iters left: 4 (55 enodes) 1540202393.125 * * [misc]simplify: iters left: 3 (157 enodes) 1540202393.171 * * [misc]simplify: iters left: 2 (411 enodes) 1540202393.354 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202393.354 * [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))))))) 1540202393.354 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202393.354 * * [misc]simplify: iters left: 6 (15 enodes) 1540202393.356 * * [misc]simplify: iters left: 5 (21 enodes) 1540202393.359 * * [misc]simplify: iters left: 4 (30 enodes) 1540202393.363 * * [misc]simplify: iters left: 3 (44 enodes) 1540202393.368 * * [misc]simplify: iters left: 2 (55 enodes) 1540202393.375 * * [misc]simplify: iters left: 1 (70 enodes) 1540202393.385 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540202393.386 * [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)))))) 1540202393.386 * * * * [misc]progress: [ 1611 / 6878 ] simplifiying candidate # 1540202393.386 * [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))))))) 1540202393.386 * * [misc]simplify: iters left: 6 (20 enodes) 1540202393.389 * * [misc]simplify: iters left: 5 (36 enodes) 1540202393.394 * * [misc]simplify: iters left: 4 (87 enodes) 1540202393.414 * * [misc]simplify: iters left: 3 (259 enodes) 1540202393.515 * [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)))))) 1540202393.515 * [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)))))))) 1540202393.515 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202393.515 * * [misc]simplify: iters left: 6 (18 enodes) 1540202393.518 * * [misc]simplify: iters left: 5 (25 enodes) 1540202393.521 * * [misc]simplify: iters left: 4 (35 enodes) 1540202393.525 * * [misc]simplify: iters left: 3 (49 enodes) 1540202393.533 * * [misc]simplify: iters left: 2 (60 enodes) 1540202393.541 * * [misc]simplify: iters left: 1 (75 enodes) 1540202393.552 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202393.552 * [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)))))))) 1540202393.552 * * * * [misc]progress: [ 1612 / 6878 ] simplifiying candidate # 1540202393.552 * [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)))))) 1540202393.552 * * [misc]simplify: iters left: 6 (19 enodes) 1540202393.555 * * [misc]simplify: iters left: 5 (31 enodes) 1540202393.559 * * [misc]simplify: iters left: 4 (62 enodes) 1540202393.570 * * [misc]simplify: iters left: 3 (164 enodes) 1540202393.615 * * [misc]simplify: iters left: 2 (419 enodes) 1540202393.798 * [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)))))) 1540202393.798 * [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)))))))) 1540202393.798 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202393.799 * * [misc]simplify: iters left: 6 (18 enodes) 1540202393.801 * * [misc]simplify: iters left: 5 (25 enodes) 1540202393.804 * * [misc]simplify: iters left: 4 (35 enodes) 1540202393.811 * * [misc]simplify: iters left: 3 (49 enodes) 1540202393.817 * * [misc]simplify: iters left: 2 (60 enodes) 1540202393.824 * * [misc]simplify: iters left: 1 (75 enodes) 1540202393.835 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202393.835 * [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)))))))) 1540202393.835 * * * * [misc]progress: [ 1613 / 6878 ] simplifiying candidate # 1540202393.835 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540202393.835 * * [misc]simplify: iters left: 6 (15 enodes) 1540202393.837 * * [misc]simplify: iters left: 5 (27 enodes) 1540202393.842 * * [misc]simplify: iters left: 4 (55 enodes) 1540202393.851 * * [misc]simplify: iters left: 3 (153 enodes) 1540202393.893 * * [misc]simplify: iters left: 2 (482 enodes) 1540202394.244 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt n) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202394.244 * [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))))))) 1540202394.244 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202394.244 * * [misc]simplify: iters left: 6 (17 enodes) 1540202394.246 * * [misc]simplify: iters left: 5 (24 enodes) 1540202394.250 * * [misc]simplify: iters left: 4 (34 enodes) 1540202394.254 * * [misc]simplify: iters left: 3 (48 enodes) 1540202394.260 * * [misc]simplify: iters left: 2 (59 enodes) 1540202394.267 * * [misc]simplify: iters left: 1 (74 enodes) 1540202394.277 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))) 1540202394.277 * [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))))))) 1540202394.278 * * * * [misc]progress: [ 1614 / 6878 ] simplifiying candidate # 1540202394.278 * [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))) 1540202394.278 * * [misc]simplify: iters left: 6 (17 enodes) 1540202394.281 * * [misc]simplify: iters left: 5 (27 enodes) 1540202394.285 * * [misc]simplify: iters left: 4 (45 enodes) 1540202394.292 * * [misc]simplify: iters left: 3 (93 enodes) 1540202394.311 * * [misc]simplify: iters left: 2 (180 enodes) 1540202394.349 * * [misc]simplify: iters left: 1 (321 enodes) 1540202394.446 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k)))) 1540202394.446 * [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))))))) 1540202394.447 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202394.447 * * [misc]simplify: iters left: 6 (15 enodes) 1540202394.449 * * [misc]simplify: iters left: 5 (21 enodes) 1540202394.451 * * [misc]simplify: iters left: 4 (30 enodes) 1540202394.456 * * [misc]simplify: iters left: 3 (44 enodes) 1540202394.461 * * [misc]simplify: iters left: 2 (55 enodes) 1540202394.467 * * [misc]simplify: iters left: 1 (70 enodes) 1540202394.479 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540202394.479 * [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)))))) 1540202394.479 * * * * [misc]progress: [ 1615 / 6878 ] simplifiying candidate # 1540202394.479 * [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))) 1540202394.479 * * [misc]simplify: iters left: 6 (17 enodes) 1540202394.482 * * [misc]simplify: iters left: 5 (27 enodes) 1540202394.486 * * [misc]simplify: iters left: 4 (45 enodes) 1540202394.493 * * [misc]simplify: iters left: 3 (93 enodes) 1540202394.511 * * [misc]simplify: iters left: 2 (180 enodes) 1540202394.551 * * [misc]simplify: iters left: 1 (321 enodes) 1540202394.648 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k)))) 1540202394.648 * [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))))))) 1540202394.649 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202394.649 * * [misc]simplify: iters left: 6 (15 enodes) 1540202394.651 * * [misc]simplify: iters left: 5 (21 enodes) 1540202394.654 * * [misc]simplify: iters left: 4 (30 enodes) 1540202394.658 * * [misc]simplify: iters left: 3 (44 enodes) 1540202394.663 * * [misc]simplify: iters left: 2 (55 enodes) 1540202394.669 * * [misc]simplify: iters left: 1 (70 enodes) 1540202394.679 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540202394.679 * [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)))))) 1540202394.680 * * * * [misc]progress: [ 1616 / 6878 ] simplifiying candidate # 1540202394.680 * [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))))))) 1540202394.680 * * [misc]simplify: iters left: 6 (21 enodes) 1540202394.683 * * [misc]simplify: iters left: 5 (34 enodes) 1540202394.687 * * [misc]simplify: iters left: 4 (61 enodes) 1540202394.697 * * [misc]simplify: iters left: 3 (140 enodes) 1540202394.730 * * [misc]simplify: iters left: 2 (336 enodes) 1540202394.859 * [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))))) 1540202394.859 * [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)))))))) 1540202394.860 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202394.860 * * [misc]simplify: iters left: 6 (18 enodes) 1540202394.862 * * [misc]simplify: iters left: 5 (25 enodes) 1540202394.865 * * [misc]simplify: iters left: 4 (35 enodes) 1540202394.870 * * [misc]simplify: iters left: 3 (49 enodes) 1540202394.877 * * [misc]simplify: iters left: 2 (60 enodes) 1540202394.884 * * [misc]simplify: iters left: 1 (75 enodes) 1540202394.895 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202394.895 * [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)))))))) 1540202394.896 * * * * [misc]progress: [ 1617 / 6878 ] simplifiying candidate # 1540202394.896 * [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)))))) 1540202394.896 * * [misc]simplify: iters left: 6 (20 enodes) 1540202394.899 * * [misc]simplify: iters left: 5 (31 enodes) 1540202394.903 * * [misc]simplify: iters left: 4 (52 enodes) 1540202394.911 * * [misc]simplify: iters left: 3 (100 enodes) 1540202394.928 * * [misc]simplify: iters left: 2 (187 enodes) 1540202394.968 * * [misc]simplify: iters left: 1 (323 enodes) 1540202395.061 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (sqrt n) (sqrt PI))) (fabs (cbrt (sqrt k))))) 1540202395.061 * [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)))))))) 1540202395.061 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202395.062 * * [misc]simplify: iters left: 6 (18 enodes) 1540202395.064 * * [misc]simplify: iters left: 5 (25 enodes) 1540202395.067 * * [misc]simplify: iters left: 4 (35 enodes) 1540202395.072 * * [misc]simplify: iters left: 3 (49 enodes) 1540202395.077 * * [misc]simplify: iters left: 2 (60 enodes) 1540202395.084 * * [misc]simplify: iters left: 1 (75 enodes) 1540202395.095 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202395.095 * [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)))))))) 1540202395.095 * * * * [misc]progress: [ 1618 / 6878 ] simplifiying candidate # 1540202395.095 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202395.096 * * [misc]simplify: iters left: 6 (16 enodes) 1540202395.098 * * [misc]simplify: iters left: 5 (26 enodes) 1540202395.101 * * [misc]simplify: iters left: 4 (41 enodes) 1540202395.108 * * [misc]simplify: iters left: 3 (75 enodes) 1540202395.123 * * [misc]simplify: iters left: 2 (154 enodes) 1540202395.163 * * [misc]simplify: iters left: 1 (321 enodes) 1540202395.272 * [exit]simplify: Simplified to (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202395.272 * [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))))))) 1540202395.272 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202395.272 * * [misc]simplify: iters left: 6 (17 enodes) 1540202395.274 * * [misc]simplify: iters left: 5 (24 enodes) 1540202395.277 * * [misc]simplify: iters left: 4 (34 enodes) 1540202395.282 * * [misc]simplify: iters left: 3 (48 enodes) 1540202395.288 * * [misc]simplify: iters left: 2 (59 enodes) 1540202395.296 * * [misc]simplify: iters left: 1 (74 enodes) 1540202395.306 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))) 1540202395.306 * [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))))))) 1540202395.307 * * * * [misc]progress: [ 1619 / 6878 ] simplifiying candidate # 1540202395.307 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202395.307 * * [misc]simplify: iters left: 6 (15 enodes) 1540202395.310 * * [misc]simplify: iters left: 5 (24 enodes) 1540202395.313 * * [misc]simplify: iters left: 4 (42 enodes) 1540202395.320 * * [misc]simplify: iters left: 3 (90 enodes) 1540202395.337 * * [misc]simplify: iters left: 2 (177 enodes) 1540202395.377 * * [misc]simplify: iters left: 1 (319 enodes) 1540202395.476 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540202395.476 * [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))))))) 1540202395.476 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202395.477 * * [misc]simplify: iters left: 6 (15 enodes) 1540202395.479 * * [misc]simplify: iters left: 5 (21 enodes) 1540202395.481 * * [misc]simplify: iters left: 4 (30 enodes) 1540202395.485 * * [misc]simplify: iters left: 3 (44 enodes) 1540202395.491 * * [misc]simplify: iters left: 2 (55 enodes) 1540202395.497 * * [misc]simplify: iters left: 1 (70 enodes) 1540202395.507 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540202395.507 * [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)))))) 1540202395.507 * * * * [misc]progress: [ 1620 / 6878 ] simplifiying candidate # 1540202395.508 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202395.508 * * [misc]simplify: iters left: 6 (15 enodes) 1540202395.511 * * [misc]simplify: iters left: 5 (24 enodes) 1540202395.514 * * [misc]simplify: iters left: 4 (42 enodes) 1540202395.521 * * [misc]simplify: iters left: 3 (90 enodes) 1540202395.540 * * [misc]simplify: iters left: 2 (177 enodes) 1540202395.578 * * [misc]simplify: iters left: 1 (319 enodes) 1540202395.677 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540202395.677 * [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))))))) 1540202395.677 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202395.677 * * [misc]simplify: iters left: 6 (15 enodes) 1540202395.679 * * [misc]simplify: iters left: 5 (21 enodes) 1540202395.682 * * [misc]simplify: iters left: 4 (30 enodes) 1540202395.686 * * [misc]simplify: iters left: 3 (44 enodes) 1540202395.691 * * [misc]simplify: iters left: 2 (55 enodes) 1540202395.698 * * [misc]simplify: iters left: 1 (70 enodes) 1540202395.709 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540202395.709 * [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)))))) 1540202395.709 * * * * [misc]progress: [ 1621 / 6878 ] simplifiying candidate # 1540202395.710 * [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))))))) 1540202395.710 * * [misc]simplify: iters left: 6 (19 enodes) 1540202395.713 * * [misc]simplify: iters left: 5 (31 enodes) 1540202395.717 * * [misc]simplify: iters left: 4 (58 enodes) 1540202395.726 * * [misc]simplify: iters left: 3 (137 enodes) 1540202395.758 * * [misc]simplify: iters left: 2 (333 enodes) 1540202395.890 * [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)))))) 1540202395.890 * [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)))))))) 1540202395.890 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202395.890 * * [misc]simplify: iters left: 6 (18 enodes) 1540202395.893 * * [misc]simplify: iters left: 5 (25 enodes) 1540202395.896 * * [misc]simplify: iters left: 4 (35 enodes) 1540202395.901 * * [misc]simplify: iters left: 3 (49 enodes) 1540202395.906 * * [misc]simplify: iters left: 2 (60 enodes) 1540202395.914 * * [misc]simplify: iters left: 1 (75 enodes) 1540202395.925 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202395.925 * [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)))))))) 1540202395.925 * * * * [misc]progress: [ 1622 / 6878 ] simplifiying candidate # 1540202395.925 * [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)))))) 1540202395.925 * * [misc]simplify: iters left: 6 (18 enodes) 1540202395.928 * * [misc]simplify: iters left: 5 (28 enodes) 1540202395.933 * * [misc]simplify: iters left: 4 (49 enodes) 1540202395.940 * * [misc]simplify: iters left: 3 (97 enodes) 1540202395.957 * * [misc]simplify: iters left: 2 (184 enodes) 1540202395.997 * * [misc]simplify: iters left: 1 (326 enodes) 1540202396.095 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202396.095 * [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)))))))) 1540202396.095 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202396.095 * * [misc]simplify: iters left: 6 (18 enodes) 1540202396.098 * * [misc]simplify: iters left: 5 (25 enodes) 1540202396.102 * * [misc]simplify: iters left: 4 (35 enodes) 1540202396.107 * * [misc]simplify: iters left: 3 (49 enodes) 1540202396.112 * * [misc]simplify: iters left: 2 (60 enodes) 1540202396.120 * * [misc]simplify: iters left: 1 (75 enodes) 1540202396.131 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202396.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540202396.131 * * * * [misc]progress: [ 1623 / 6878 ] simplifiying candidate # 1540202396.131 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202396.131 * * [misc]simplify: iters left: 6 (14 enodes) 1540202396.133 * * [misc]simplify: iters left: 5 (24 enodes) 1540202396.137 * * [misc]simplify: iters left: 4 (44 enodes) 1540202396.143 * * [misc]simplify: iters left: 3 (70 enodes) 1540202396.153 * * [misc]simplify: iters left: 2 (127 enodes) 1540202396.182 * * [misc]simplify: iters left: 1 (257 enodes) 1540202396.261 * [exit]simplify: Simplified to (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202396.261 * [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))))))) 1540202396.262 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202396.262 * * [misc]simplify: iters left: 6 (17 enodes) 1540202396.264 * * [misc]simplify: iters left: 5 (24 enodes) 1540202396.267 * * [misc]simplify: iters left: 4 (34 enodes) 1540202396.272 * * [misc]simplify: iters left: 3 (48 enodes) 1540202396.277 * * [misc]simplify: iters left: 2 (59 enodes) 1540202396.285 * * [misc]simplify: iters left: 1 (74 enodes) 1540202396.296 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))) 1540202396.296 * [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))))))) 1540202396.296 * * * * [misc]progress: [ 1624 / 6878 ] simplifiying candidate # 1540202396.296 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202396.297 * * [misc]simplify: iters left: 6 (16 enodes) 1540202396.300 * * [misc]simplify: iters left: 5 (27 enodes) 1540202396.304 * * [misc]simplify: iters left: 4 (47 enodes) 1540202396.312 * * [misc]simplify: iters left: 3 (110 enodes) 1540202396.334 * * [misc]simplify: iters left: 2 (264 enodes) 1540202396.433 * [exit]simplify: Simplified to (* (* (sqrt n) (sqrt PI)) (/ (sqrt 2) (sqrt (sqrt k)))) 1540202396.433 * [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))))))) 1540202396.433 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202396.433 * * [misc]simplify: iters left: 6 (14 enodes) 1540202396.435 * * [misc]simplify: iters left: 5 (20 enodes) 1540202396.438 * * [misc]simplify: iters left: 4 (29 enodes) 1540202396.442 * * [misc]simplify: iters left: 3 (43 enodes) 1540202396.447 * * [misc]simplify: iters left: 2 (54 enodes) 1540202396.453 * * [misc]simplify: iters left: 1 (69 enodes) 1540202396.463 * [exit]simplify: Simplified to (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1540202396.463 * [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))))) 1540202396.463 * * * * [misc]progress: [ 1625 / 6878 ] simplifiying candidate # 1540202396.463 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202396.464 * * [misc]simplify: iters left: 6 (16 enodes) 1540202396.468 * * [misc]simplify: iters left: 5 (27 enodes) 1540202396.472 * * [misc]simplify: iters left: 4 (47 enodes) 1540202396.480 * * [misc]simplify: iters left: 3 (110 enodes) 1540202396.502 * * [misc]simplify: iters left: 2 (264 enodes) 1540202396.602 * [exit]simplify: Simplified to (* (* (sqrt n) (sqrt PI)) (/ (sqrt 2) (sqrt (sqrt k)))) 1540202396.602 * [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))))))) 1540202396.602 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202396.602 * * [misc]simplify: iters left: 6 (14 enodes) 1540202396.604 * * [misc]simplify: iters left: 5 (20 enodes) 1540202396.607 * * [misc]simplify: iters left: 4 (29 enodes) 1540202396.611 * * [misc]simplify: iters left: 3 (43 enodes) 1540202396.616 * * [misc]simplify: iters left: 2 (54 enodes) 1540202396.622 * * [misc]simplify: iters left: 1 (69 enodes) 1540202396.632 * [exit]simplify: Simplified to (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1540202396.632 * [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))))) 1540202396.632 * * * * [misc]progress: [ 1626 / 6878 ] simplifiying candidate # 1540202396.632 * [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))))))) 1540202396.632 * * [misc]simplify: iters left: 6 (20 enodes) 1540202396.636 * * [misc]simplify: iters left: 5 (34 enodes) 1540202396.640 * * [misc]simplify: iters left: 4 (64 enodes) 1540202396.653 * * [misc]simplify: iters left: 3 (175 enodes) 1540202396.697 * * [misc]simplify: iters left: 2 (461 enodes) 1540202396.916 * [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))))) 1540202396.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (/ (sqrt PI) (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540202396.916 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202396.916 * * [misc]simplify: iters left: 6 (17 enodes) 1540202396.919 * * [misc]simplify: iters left: 5 (24 enodes) 1540202396.922 * * [misc]simplify: iters left: 4 (34 enodes) 1540202396.926 * * [misc]simplify: iters left: 3 (48 enodes) 1540202396.932 * * [misc]simplify: iters left: 2 (59 enodes) 1540202396.941 * * [misc]simplify: iters left: 1 (74 enodes) 1540202396.951 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540202396.951 * [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)))))) 1540202396.951 * * * * [misc]progress: [ 1627 / 6878 ] simplifiying candidate # 1540202396.951 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202396.952 * * [misc]simplify: iters left: 6 (19 enodes) 1540202396.955 * * [misc]simplify: iters left: 5 (31 enodes) 1540202396.959 * * [misc]simplify: iters left: 4 (54 enodes) 1540202396.967 * * [misc]simplify: iters left: 3 (121 enodes) 1540202396.992 * * [misc]simplify: iters left: 2 (277 enodes) 1540202397.081 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k)))) 1540202397.081 * [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)))))))) 1540202397.082 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202397.082 * * [misc]simplify: iters left: 6 (17 enodes) 1540202397.084 * * [misc]simplify: iters left: 5 (24 enodes) 1540202397.087 * * [misc]simplify: iters left: 4 (34 enodes) 1540202397.092 * * [misc]simplify: iters left: 3 (48 enodes) 1540202397.097 * * [misc]simplify: iters left: 2 (59 enodes) 1540202397.104 * * [misc]simplify: iters left: 1 (74 enodes) 1540202397.115 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540202397.115 * [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)))))) 1540202397.115 * * * * [misc]progress: [ 1628 / 6878 ] simplifiying candidate # 1540202397.115 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202397.115 * * [misc]simplify: iters left: 6 (14 enodes) 1540202397.118 * * [misc]simplify: iters left: 5 (24 enodes) 1540202397.121 * * [misc]simplify: iters left: 4 (32 enodes) 1540202397.127 * * [misc]simplify: iters left: 3 (54 enodes) 1540202397.134 * * [misc]simplify: iters left: 2 (88 enodes) 1540202397.155 * * [misc]simplify: iters left: 1 (146 enodes) 1540202397.201 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540202397.201 * [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))))))) 1540202397.201 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202397.202 * * [misc]simplify: iters left: 6 (16 enodes) 1540202397.204 * * [misc]simplify: iters left: 5 (23 enodes) 1540202397.207 * * [misc]simplify: iters left: 4 (33 enodes) 1540202397.211 * * [misc]simplify: iters left: 3 (47 enodes) 1540202397.217 * * [misc]simplify: iters left: 2 (58 enodes) 1540202397.223 * * [misc]simplify: iters left: 1 (73 enodes) 1540202397.234 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202397.234 * [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))))))) 1540202397.234 * * * * [misc]progress: [ 1629 / 6878 ] simplifiying candidate # 1540202397.234 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202397.234 * * [misc]simplify: iters left: 6 (15 enodes) 1540202397.237 * * [misc]simplify: iters left: 5 (24 enodes) 1540202397.241 * * [misc]simplify: iters left: 4 (42 enodes) 1540202397.247 * * [misc]simplify: iters left: 3 (90 enodes) 1540202397.266 * * [misc]simplify: iters left: 2 (177 enodes) 1540202397.304 * * [misc]simplify: iters left: 1 (319 enodes) 1540202397.403 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540202397.403 * [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))))))) 1540202397.404 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202397.404 * * [misc]simplify: iters left: 6 (15 enodes) 1540202397.406 * * [misc]simplify: iters left: 5 (21 enodes) 1540202397.409 * * [misc]simplify: iters left: 4 (30 enodes) 1540202397.413 * * [misc]simplify: iters left: 3 (44 enodes) 1540202397.418 * * [misc]simplify: iters left: 2 (55 enodes) 1540202397.426 * * [misc]simplify: iters left: 1 (70 enodes) 1540202397.436 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540202397.436 * [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)))))) 1540202397.436 * * * * [misc]progress: [ 1630 / 6878 ] simplifiying candidate # 1540202397.436 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202397.437 * * [misc]simplify: iters left: 6 (15 enodes) 1540202397.439 * * [misc]simplify: iters left: 5 (24 enodes) 1540202397.443 * * [misc]simplify: iters left: 4 (42 enodes) 1540202397.450 * * [misc]simplify: iters left: 3 (90 enodes) 1540202397.467 * * [misc]simplify: iters left: 2 (177 enodes) 1540202397.507 * * [misc]simplify: iters left: 1 (319 enodes) 1540202397.606 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540202397.606 * [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))))))) 1540202397.606 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202397.606 * * [misc]simplify: iters left: 6 (15 enodes) 1540202397.608 * * [misc]simplify: iters left: 5 (21 enodes) 1540202397.611 * * [misc]simplify: iters left: 4 (30 enodes) 1540202397.615 * * [misc]simplify: iters left: 3 (44 enodes) 1540202397.620 * * [misc]simplify: iters left: 2 (55 enodes) 1540202397.626 * * [misc]simplify: iters left: 1 (70 enodes) 1540202397.637 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540202397.637 * [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)))))) 1540202397.637 * * * * [misc]progress: [ 1631 / 6878 ] simplifiying candidate # 1540202397.637 * [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))))))) 1540202397.637 * * [misc]simplify: iters left: 6 (19 enodes) 1540202397.640 * * [misc]simplify: iters left: 5 (31 enodes) 1540202397.644 * * [misc]simplify: iters left: 4 (58 enodes) 1540202397.654 * * [misc]simplify: iters left: 3 (137 enodes) 1540202397.687 * * [misc]simplify: iters left: 2 (333 enodes) 1540202397.818 * [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)))))) 1540202397.818 * [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)))))))) 1540202397.818 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202397.818 * * [misc]simplify: iters left: 6 (18 enodes) 1540202397.821 * * [misc]simplify: iters left: 5 (25 enodes) 1540202397.825 * * [misc]simplify: iters left: 4 (35 enodes) 1540202397.830 * * [misc]simplify: iters left: 3 (49 enodes) 1540202397.836 * * [misc]simplify: iters left: 2 (60 enodes) 1540202397.843 * * [misc]simplify: iters left: 1 (75 enodes) 1540202397.854 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202397.854 * [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)))))))) 1540202397.854 * * * * [misc]progress: [ 1632 / 6878 ] simplifiying candidate # 1540202397.854 * [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)))))) 1540202397.854 * * [misc]simplify: iters left: 6 (18 enodes) 1540202397.857 * * [misc]simplify: iters left: 5 (28 enodes) 1540202397.861 * * [misc]simplify: iters left: 4 (49 enodes) 1540202397.868 * * [misc]simplify: iters left: 3 (97 enodes) 1540202397.885 * * [misc]simplify: iters left: 2 (184 enodes) 1540202397.924 * * [misc]simplify: iters left: 1 (326 enodes) 1540202398.024 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540202398.024 * [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)))))))) 1540202398.024 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202398.024 * * [misc]simplify: iters left: 6 (18 enodes) 1540202398.027 * * [misc]simplify: iters left: 5 (25 enodes) 1540202398.030 * * [misc]simplify: iters left: 4 (35 enodes) 1540202398.035 * * [misc]simplify: iters left: 3 (49 enodes) 1540202398.041 * * [misc]simplify: iters left: 2 (60 enodes) 1540202398.048 * * [misc]simplify: iters left: 1 (75 enodes) 1540202398.060 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202398.060 * [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)))))))) 1540202398.060 * * * * [misc]progress: [ 1633 / 6878 ] simplifiying candidate # 1540202398.060 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202398.060 * * [misc]simplify: iters left: 6 (14 enodes) 1540202398.062 * * [misc]simplify: iters left: 5 (24 enodes) 1540202398.066 * * [misc]simplify: iters left: 4 (44 enodes) 1540202398.072 * * [misc]simplify: iters left: 3 (70 enodes) 1540202398.082 * * [misc]simplify: iters left: 2 (127 enodes) 1540202398.110 * * [misc]simplify: iters left: 1 (257 enodes) 1540202398.190 * [exit]simplify: Simplified to (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540202398.190 * [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))))))) 1540202398.191 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202398.191 * * [misc]simplify: iters left: 6 (17 enodes) 1540202398.193 * * [misc]simplify: iters left: 5 (24 enodes) 1540202398.196 * * [misc]simplify: iters left: 4 (34 enodes) 1540202398.200 * * [misc]simplify: iters left: 3 (48 enodes) 1540202398.206 * * [misc]simplify: iters left: 2 (59 enodes) 1540202398.213 * * [misc]simplify: iters left: 1 (74 enodes) 1540202398.224 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))) 1540202398.224 * [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))))))) 1540202398.224 * * * * [misc]progress: [ 1634 / 6878 ] simplifiying candidate # 1540202398.224 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202398.224 * * [misc]simplify: iters left: 6 (15 enodes) 1540202398.227 * * [misc]simplify: iters left: 5 (26 enodes) 1540202398.231 * * [misc]simplify: iters left: 4 (42 enodes) 1540202398.238 * * [misc]simplify: iters left: 3 (94 enodes) 1540202398.257 * * [misc]simplify: iters left: 2 (198 enodes) 1540202398.317 * * [misc]simplify: iters left: 1 (383 enodes) 1540202398.478 * [exit]simplify: Simplified to (* (/ (sqrt 2) (sqrt (sqrt k))) (* (sqrt n) (sqrt PI))) 1540202398.478 * [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))))))) 1540202398.478 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202398.479 * * [misc]simplify: iters left: 6 (14 enodes) 1540202398.480 * * [misc]simplify: iters left: 5 (20 enodes) 1540202398.483 * * [misc]simplify: iters left: 4 (29 enodes) 1540202398.487 * * [misc]simplify: iters left: 3 (43 enodes) 1540202398.492 * * [misc]simplify: iters left: 2 (54 enodes) 1540202398.499 * * [misc]simplify: iters left: 1 (69 enodes) 1540202398.509 * [exit]simplify: Simplified to (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1540202398.509 * [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))))) 1540202398.509 * * * * [misc]progress: [ 1635 / 6878 ] simplifiying candidate # 1540202398.509 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202398.509 * * [misc]simplify: iters left: 6 (15 enodes) 1540202398.512 * * [misc]simplify: iters left: 5 (26 enodes) 1540202398.515 * * [misc]simplify: iters left: 4 (42 enodes) 1540202398.522 * * [misc]simplify: iters left: 3 (94 enodes) 1540202398.542 * * [misc]simplify: iters left: 2 (198 enodes) 1540202398.602 * * [misc]simplify: iters left: 1 (383 enodes) 1540202398.763 * [exit]simplify: Simplified to (* (/ (sqrt 2) (sqrt (sqrt k))) (* (sqrt n) (sqrt PI))) 1540202398.763 * [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))))))) 1540202398.763 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202398.763 * * [misc]simplify: iters left: 6 (14 enodes) 1540202398.765 * * [misc]simplify: iters left: 5 (20 enodes) 1540202398.768 * * [misc]simplify: iters left: 4 (29 enodes) 1540202398.772 * * [misc]simplify: iters left: 3 (43 enodes) 1540202398.777 * * [misc]simplify: iters left: 2 (54 enodes) 1540202398.783 * * [misc]simplify: iters left: 1 (69 enodes) 1540202398.793 * [exit]simplify: Simplified to (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1540202398.793 * [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))))) 1540202398.793 * * * * [misc]progress: [ 1636 / 6878 ] simplifiying candidate # 1540202398.793 * [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))))))) 1540202398.794 * * [misc]simplify: iters left: 6 (19 enodes) 1540202398.796 * * [misc]simplify: iters left: 5 (33 enodes) 1540202398.801 * * [misc]simplify: iters left: 4 (58 enodes) 1540202398.811 * * [misc]simplify: iters left: 3 (152 enodes) 1540202398.846 * * [misc]simplify: iters left: 2 (393 enodes) 1540202399.029 * [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))))) 1540202399.029 * [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)))))))) 1540202399.029 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202399.029 * * [misc]simplify: iters left: 6 (17 enodes) 1540202399.031 * * [misc]simplify: iters left: 5 (24 enodes) 1540202399.034 * * [misc]simplify: iters left: 4 (34 enodes) 1540202399.039 * * [misc]simplify: iters left: 3 (48 enodes) 1540202399.045 * * [misc]simplify: iters left: 2 (59 enodes) 1540202399.053 * * [misc]simplify: iters left: 1 (74 enodes) 1540202399.064 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540202399.064 * [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)))))) 1540202399.064 * * * * [misc]progress: [ 1637 / 6878 ] simplifiying candidate # 1540202399.064 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202399.064 * * [misc]simplify: iters left: 6 (18 enodes) 1540202399.067 * * [misc]simplify: iters left: 5 (30 enodes) 1540202399.070 * * [misc]simplify: iters left: 4 (49 enodes) 1540202399.078 * * [misc]simplify: iters left: 3 (101 enodes) 1540202399.095 * * [misc]simplify: iters left: 2 (206 enodes) 1540202399.154 * * [misc]simplify: iters left: 1 (465 enodes) 1540202399.421 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202399.421 * [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)))))))) 1540202399.421 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202399.422 * * [misc]simplify: iters left: 6 (17 enodes) 1540202399.426 * * [misc]simplify: iters left: 5 (24 enodes) 1540202399.429 * * [misc]simplify: iters left: 4 (34 enodes) 1540202399.433 * * [misc]simplify: iters left: 3 (48 enodes) 1540202399.439 * * [misc]simplify: iters left: 2 (59 enodes) 1540202399.446 * * [misc]simplify: iters left: 1 (74 enodes) 1540202399.456 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540202399.456 * [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)))))) 1540202399.456 * * * * [misc]progress: [ 1638 / 6878 ] simplifiying candidate # 1540202399.457 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ 1 1)) 1540202399.457 * * [misc]simplify: iters left: 6 (13 enodes) 1540202399.458 * * [misc]simplify: iters left: 5 (21 enodes) 1540202399.461 * * [misc]simplify: iters left: 4 (29 enodes) 1540202399.465 * * [misc]simplify: iters left: 3 (44 enodes) 1540202399.470 * * [misc]simplify: iters left: 2 (67 enodes) 1540202399.479 * * [misc]simplify: iters left: 1 (88 enodes) 1540202399.491 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540202399.491 * [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))))))) 1540202399.491 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202399.491 * * [misc]simplify: iters left: 6 (16 enodes) 1540202399.493 * * [misc]simplify: iters left: 5 (23 enodes) 1540202399.496 * * [misc]simplify: iters left: 4 (33 enodes) 1540202399.501 * * [misc]simplify: iters left: 3 (47 enodes) 1540202399.506 * * [misc]simplify: iters left: 2 (58 enodes) 1540202399.513 * * [misc]simplify: iters left: 1 (73 enodes) 1540202399.524 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202399.524 * [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))))))) 1540202399.524 * * * * [misc]progress: [ 1639 / 6878 ] simplifiying candidate # 1540202399.524 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1) 1540202399.524 * * [misc]simplify: iters left: 6 (12 enodes) 1540202399.526 * * [misc]simplify: iters left: 5 (20 enodes) 1540202399.528 * * [misc]simplify: iters left: 4 (30 enodes) 1540202399.533 * * [misc]simplify: iters left: 3 (49 enodes) 1540202399.539 * * [misc]simplify: iters left: 2 (80 enodes) 1540202399.551 * * [misc]simplify: iters left: 1 (102 enodes) 1540202399.564 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540202399.564 * [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))))))) 1540202399.564 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202399.564 * * [misc]simplify: iters left: 6 (16 enodes) 1540202399.566 * * [misc]simplify: iters left: 5 (23 enodes) 1540202399.569 * * [misc]simplify: iters left: 4 (33 enodes) 1540202399.574 * * [misc]simplify: iters left: 3 (47 enodes) 1540202399.579 * * [misc]simplify: iters left: 2 (58 enodes) 1540202399.586 * * [misc]simplify: iters left: 1 (73 enodes) 1540202399.597 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202399.597 * [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))))))) 1540202399.597 * * * * [misc]progress: [ 1640 / 6878 ] simplifiying candidate # 1540202399.597 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (sqrt (sqrt k))) 1540202399.597 * * [misc]simplify: iters left: 6 (11 enodes) 1540202399.598 * * [misc]simplify: iters left: 5 (17 enodes) 1540202399.601 * * [misc]simplify: iters left: 4 (24 enodes) 1540202399.604 * * [misc]simplify: iters left: 3 (33 enodes) 1540202399.608 * * [misc]simplify: iters left: 2 (41 enodes) 1540202399.612 * * [misc]simplify: iters left: 1 (49 enodes) 1540202399.618 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt n)) 1540202399.618 * [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))))))) 1540202399.619 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202399.619 * * [misc]simplify: iters left: 6 (15 enodes) 1540202399.621 * * [misc]simplify: iters left: 5 (24 enodes) 1540202399.625 * * [misc]simplify: iters left: 4 (36 enodes) 1540202399.629 * * [misc]simplify: iters left: 3 (55 enodes) 1540202399.637 * * [misc]simplify: iters left: 2 (84 enodes) 1540202399.650 * * [misc]simplify: iters left: 1 (174 enodes) 1540202399.683 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (pow n (/ k 2))) (pow PI (/ (- k) 2))) 1540202399.683 * [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))))) 1540202399.683 * * * * [misc]progress: [ 1641 / 6878 ] simplifiying candidate # 1540202399.683 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202399.683 * * [misc]simplify: iters left: 6 (14 enodes) 1540202399.686 * * [misc]simplify: iters left: 5 (23 enodes) 1540202399.690 * * [misc]simplify: iters left: 4 (40 enodes) 1540202399.697 * * [misc]simplify: iters left: 3 (85 enodes) 1540202399.712 * * [misc]simplify: iters left: 2 (150 enodes) 1540202399.743 * * [misc]simplify: iters left: 1 (233 enodes) 1540202399.794 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt n)) (/ (sqrt k) (sqrt PI))) 1540202399.794 * [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))))) 1540202399.794 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (pow 2 (/ k 2))) 1540202399.794 * * [misc]simplify: iters left: 6 (11 enodes) 1540202399.796 * * [misc]simplify: iters left: 5 (15 enodes) 1540202399.798 * * [misc]simplify: iters left: 4 (18 enodes) 1540202399.800 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (* (pow 2 (/ k 2)) (pow n (/ k 2)))) 1540202399.800 * [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)))))) 1540202399.800 * * * * [misc]progress: [ 1642 / 6878 ] simplifiying candidate # 1540202399.800 * [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))))))) 1540202399.800 * * [misc]simplify: iters left: 6 (20 enodes) 1540202399.803 * * [misc]simplify: iters left: 5 (29 enodes) 1540202399.807 * * [misc]simplify: iters left: 4 (42 enodes) 1540202399.813 * * [misc]simplify: iters left: 3 (55 enodes) 1540202399.820 * * [misc]simplify: iters left: 2 (67 enodes) 1540202399.828 * * [misc]simplify: iters left: 1 (70 enodes) 1540202399.836 * [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))))))) 1540202399.836 * [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)))))))) 1540202399.836 * [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)))))) 1540202399.837 * * [misc]simplify: iters left: 6 (19 enodes) 1540202399.839 * * [misc]simplify: iters left: 5 (24 enodes) 1540202399.842 * * [misc]simplify: iters left: 4 (28 enodes) 1540202399.846 * [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)))))) 1540202399.846 * [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)))))))) 1540202399.846 * * * * [misc]progress: [ 1643 / 6878 ] simplifiying candidate # 1540202399.846 * [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)))))) 1540202399.846 * * [misc]simplify: iters left: 6 (19 enodes) 1540202399.849 * * [misc]simplify: iters left: 5 (26 enodes) 1540202399.852 * * [misc]simplify: iters left: 4 (34 enodes) 1540202399.856 * * [misc]simplify: iters left: 3 (37 enodes) 1540202399.861 * * [misc]simplify: iters left: 2 (43 enodes) 1540202399.866 * [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))))))) 1540202399.866 * [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)))))))) 1540202399.866 * [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)))))) 1540202399.867 * * [misc]simplify: iters left: 6 (19 enodes) 1540202399.869 * * [misc]simplify: iters left: 5 (24 enodes) 1540202399.872 * * [misc]simplify: iters left: 4 (28 enodes) 1540202399.877 * [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)))))) 1540202399.877 * [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)))))))) 1540202399.877 * * * * [misc]progress: [ 1644 / 6878 ] simplifiying candidate # 1540202399.877 * [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))) 1540202399.877 * * [misc]simplify: iters left: 6 (20 enodes) 1540202399.881 * * [misc]simplify: iters left: 5 (32 enodes) 1540202399.886 * * [misc]simplify: iters left: 4 (55 enodes) 1540202399.895 * * [misc]simplify: iters left: 3 (119 enodes) 1540202399.921 * * [misc]simplify: iters left: 2 (267 enodes) 1540202399.999 * * [misc]simplify: iters left: 1 (476 enodes) 1540202400.154 * [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))))))) 1540202400.154 * [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))))))) 1540202400.155 * [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))))) 1540202400.155 * * [misc]simplify: iters left: 6 (19 enodes) 1540202400.157 * * [misc]simplify: iters left: 5 (26 enodes) 1540202400.161 * * [misc]simplify: iters left: 4 (36 enodes) 1540202400.167 * * [misc]simplify: iters left: 3 (50 enodes) 1540202400.173 * * [misc]simplify: iters left: 2 (61 enodes) 1540202400.180 * * [misc]simplify: iters left: 1 (76 enodes) 1540202400.191 * [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)))))) 1540202400.191 * [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)))))))) 1540202400.191 * * * * [misc]progress: [ 1645 / 6878 ] simplifiying candidate # 1540202400.191 * [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))) 1540202400.192 * * [misc]simplify: iters left: 6 (20 enodes) 1540202400.195 * * [misc]simplify: iters left: 5 (32 enodes) 1540202400.200 * * [misc]simplify: iters left: 4 (55 enodes) 1540202400.209 * * [misc]simplify: iters left: 3 (119 enodes) 1540202400.237 * * [misc]simplify: iters left: 2 (267 enodes) 1540202400.313 * * [misc]simplify: iters left: 1 (476 enodes) 1540202400.470 * [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))))))) 1540202400.470 * [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))))))) 1540202400.471 * [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))))) 1540202400.471 * * [misc]simplify: iters left: 6 (19 enodes) 1540202400.474 * * [misc]simplify: iters left: 5 (26 enodes) 1540202400.477 * * [misc]simplify: iters left: 4 (36 enodes) 1540202400.482 * * [misc]simplify: iters left: 3 (50 enodes) 1540202400.487 * * [misc]simplify: iters left: 2 (61 enodes) 1540202400.495 * * [misc]simplify: iters left: 1 (76 enodes) 1540202400.505 * [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)))))) 1540202400.506 * [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)))))))) 1540202400.506 * * * * [misc]progress: [ 1646 / 6878 ] simplifiying candidate # 1540202400.506 * [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))))))) 1540202400.506 * * [misc]simplify: iters left: 6 (22 enodes) 1540202400.509 * * [misc]simplify: iters left: 5 (37 enodes) 1540202400.515 * * [misc]simplify: iters left: 4 (77 enodes) 1540202400.531 * * [misc]simplify: iters left: 3 (197 enodes) 1540202400.595 * [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))))))) 1540202400.595 * [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)))))))) 1540202400.595 * [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)))))) 1540202400.595 * * [misc]simplify: iters left: 6 (20 enodes) 1540202400.598 * * [misc]simplify: iters left: 5 (27 enodes) 1540202400.601 * * [misc]simplify: iters left: 4 (37 enodes) 1540202400.606 * * [misc]simplify: iters left: 3 (51 enodes) 1540202400.612 * * [misc]simplify: iters left: 2 (62 enodes) 1540202400.619 * * [misc]simplify: iters left: 1 (77 enodes) 1540202400.631 * [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)))))) 1540202400.631 * [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)))))))) 1540202400.631 * * * * [misc]progress: [ 1647 / 6878 ] simplifiying candidate # 1540202400.631 * [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)))))) 1540202400.631 * * [misc]simplify: iters left: 6 (21 enodes) 1540202400.634 * * [misc]simplify: iters left: 5 (32 enodes) 1540202400.638 * * [misc]simplify: iters left: 4 (55 enodes) 1540202400.648 * * [misc]simplify: iters left: 3 (119 enodes) 1540202400.673 * * [misc]simplify: iters left: 2 (266 enodes) 1540202400.751 * * [misc]simplify: iters left: 1 (473 enodes) 1540202400.902 * [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))) 1540202400.902 * [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)))))))) 1540202400.902 * [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)))))) 1540202400.902 * * [misc]simplify: iters left: 6 (20 enodes) 1540202400.905 * * [misc]simplify: iters left: 5 (27 enodes) 1540202400.908 * * [misc]simplify: iters left: 4 (37 enodes) 1540202400.913 * * [misc]simplify: iters left: 3 (51 enodes) 1540202400.919 * * [misc]simplify: iters left: 2 (62 enodes) 1540202400.926 * * [misc]simplify: iters left: 1 (77 enodes) 1540202400.939 * [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)))))) 1540202400.939 * [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)))))))) 1540202400.939 * * * * [misc]progress: [ 1648 / 6878 ] simplifiying candidate # 1540202400.939 * [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)) 1540202400.939 * * [misc]simplify: iters left: 6 (20 enodes) 1540202400.942 * * [misc]simplify: iters left: 5 (33 enodes) 1540202400.947 * * [misc]simplify: iters left: 4 (57 enodes) 1540202400.955 * * [misc]simplify: iters left: 3 (94 enodes) 1540202400.973 * * [misc]simplify: iters left: 2 (219 enodes) 1540202401.047 * [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)))))) 1540202401.047 * [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))))))) 1540202401.048 * [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))))) 1540202401.048 * * [misc]simplify: iters left: 6 (19 enodes) 1540202401.050 * * [misc]simplify: iters left: 5 (26 enodes) 1540202401.054 * * [misc]simplify: iters left: 4 (36 enodes) 1540202401.060 * * [misc]simplify: iters left: 3 (50 enodes) 1540202401.066 * * [misc]simplify: iters left: 2 (61 enodes) 1540202401.073 * * [misc]simplify: iters left: 1 (76 enodes) 1540202401.084 * [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)))))) 1540202401.084 * [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)))))))) 1540202401.084 * * * * [misc]progress: [ 1649 / 6878 ] simplifiying candidate # 1540202401.084 * [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))) 1540202401.085 * * [misc]simplify: iters left: 6 (21 enodes) 1540202401.088 * * [misc]simplify: iters left: 5 (32 enodes) 1540202401.093 * * [misc]simplify: iters left: 4 (48 enodes) 1540202401.100 * * [misc]simplify: iters left: 3 (79 enodes) 1540202401.114 * * [misc]simplify: iters left: 2 (133 enodes) 1540202401.136 * * [misc]simplify: iters left: 1 (187 enodes) 1540202401.169 * [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))))))) 1540202401.169 * [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))))))) 1540202401.169 * [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))))) 1540202401.169 * * [misc]simplify: iters left: 6 (20 enodes) 1540202401.172 * * [misc]simplify: iters left: 5 (27 enodes) 1540202401.175 * * [misc]simplify: iters left: 4 (37 enodes) 1540202401.181 * * [misc]simplify: iters left: 3 (51 enodes) 1540202401.188 * * [misc]simplify: iters left: 2 (62 enodes) 1540202401.195 * * [misc]simplify: iters left: 1 (77 enodes) 1540202401.206 * [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)))))) 1540202401.206 * [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)))))))) 1540202401.206 * * * * [misc]progress: [ 1650 / 6878 ] simplifiying candidate # 1540202401.206 * [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))) 1540202401.207 * * [misc]simplify: iters left: 6 (21 enodes) 1540202401.210 * * [misc]simplify: iters left: 5 (32 enodes) 1540202401.215 * * [misc]simplify: iters left: 4 (48 enodes) 1540202401.222 * * [misc]simplify: iters left: 3 (79 enodes) 1540202401.236 * * [misc]simplify: iters left: 2 (133 enodes) 1540202401.258 * * [misc]simplify: iters left: 1 (187 enodes) 1540202401.291 * [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))))))) 1540202401.291 * [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))))))) 1540202401.292 * [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))))) 1540202401.292 * * [misc]simplify: iters left: 6 (20 enodes) 1540202401.294 * * [misc]simplify: iters left: 5 (27 enodes) 1540202401.298 * * [misc]simplify: iters left: 4 (37 enodes) 1540202401.303 * * [misc]simplify: iters left: 3 (51 enodes) 1540202401.309 * * [misc]simplify: iters left: 2 (62 enodes) 1540202401.316 * * [misc]simplify: iters left: 1 (77 enodes) 1540202401.328 * [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)))))) 1540202401.328 * [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)))))))) 1540202401.328 * * * * [misc]progress: [ 1651 / 6878 ] simplifiying candidate # 1540202401.328 * [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))))))) 1540202401.329 * * [misc]simplify: iters left: 6 (23 enodes) 1540202401.332 * * [misc]simplify: iters left: 5 (35 enodes) 1540202401.337 * * [misc]simplify: iters left: 4 (57 enodes) 1540202401.346 * * [misc]simplify: iters left: 3 (113 enodes) 1540202401.369 * * [misc]simplify: iters left: 2 (249 enodes) 1540202401.441 * * [misc]simplify: iters left: 1 (493 enodes) 1540202401.632 * [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))))))) 1540202401.632 * [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)))))))) 1540202401.632 * [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)))))) 1540202401.632 * * [misc]simplify: iters left: 6 (21 enodes) 1540202401.635 * * [misc]simplify: iters left: 5 (28 enodes) 1540202401.639 * * [misc]simplify: iters left: 4 (38 enodes) 1540202401.644 * * [misc]simplify: iters left: 3 (52 enodes) 1540202401.650 * * [misc]simplify: iters left: 2 (63 enodes) 1540202401.659 * * [misc]simplify: iters left: 1 (78 enodes) 1540202401.670 * [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)))))) 1540202401.670 * [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)))))))) 1540202401.670 * * * * [misc]progress: [ 1652 / 6878 ] simplifiying candidate # 1540202401.670 * [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))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202401.671 * * [misc]simplify: iters left: 6 (22 enodes) 1540202401.674 * * [misc]simplify: iters left: 5 (32 enodes) 1540202401.678 * * [misc]simplify: iters left: 4 (48 enodes) 1540202401.685 * * [misc]simplify: iters left: 3 (79 enodes) 1540202401.698 * * [misc]simplify: iters left: 2 (134 enodes) 1540202401.718 * * [misc]simplify: iters left: 1 (188 enodes) 1540202401.752 * [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))))))) 1540202401.752 * [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)))))))) 1540202401.752 * [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)))))) 1540202401.752 * * [misc]simplify: iters left: 6 (21 enodes) 1540202401.755 * * [misc]simplify: iters left: 5 (28 enodes) 1540202401.759 * * [misc]simplify: iters left: 4 (38 enodes) 1540202401.764 * * [misc]simplify: iters left: 3 (52 enodes) 1540202401.770 * * [misc]simplify: iters left: 2 (63 enodes) 1540202401.777 * * [misc]simplify: iters left: 1 (78 enodes) 1540202401.789 * [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)))))) 1540202401.789 * [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)))))))) 1540202401.790 * * * * [misc]progress: [ 1653 / 6878 ] simplifiying candidate # 1540202401.790 * [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)) 1540202401.790 * * [misc]simplify: iters left: 6 (21 enodes) 1540202401.793 * * [misc]simplify: iters left: 5 (32 enodes) 1540202401.797 * * [misc]simplify: iters left: 4 (47 enodes) 1540202401.804 * * [misc]simplify: iters left: 3 (74 enodes) 1540202401.818 * * [misc]simplify: iters left: 2 (145 enodes) 1540202401.853 * * [misc]simplify: iters left: 1 (318 enodes) 1540202402.029 * [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)))))) 1540202402.029 * [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))))))) 1540202402.029 * [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))))) 1540202402.030 * * [misc]simplify: iters left: 6 (20 enodes) 1540202402.032 * * [misc]simplify: iters left: 5 (27 enodes) 1540202402.036 * * [misc]simplify: iters left: 4 (37 enodes) 1540202402.041 * * [misc]simplify: iters left: 3 (51 enodes) 1540202402.047 * * [misc]simplify: iters left: 2 (62 enodes) 1540202402.054 * * [misc]simplify: iters left: 1 (77 enodes) 1540202402.065 * [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)))))) 1540202402.065 * [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)))))))) 1540202402.065 * * * * [misc]progress: [ 1654 / 6878 ] simplifiying candidate # 1540202402.065 * [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))) 1540202402.066 * * [misc]simplify: iters left: 6 (19 enodes) 1540202402.069 * * [misc]simplify: iters left: 5 (29 enodes) 1540202402.073 * * [misc]simplify: iters left: 4 (45 enodes) 1540202402.082 * * [misc]simplify: iters left: 3 (76 enodes) 1540202402.095 * * [misc]simplify: iters left: 2 (131 enodes) 1540202402.115 * * [misc]simplify: iters left: 1 (185 enodes) 1540202402.149 * [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))))))) 1540202402.149 * [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))))))) 1540202402.149 * [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))))) 1540202402.150 * * [misc]simplify: iters left: 6 (19 enodes) 1540202402.152 * * [misc]simplify: iters left: 5 (26 enodes) 1540202402.156 * * [misc]simplify: iters left: 4 (36 enodes) 1540202402.160 * * [misc]simplify: iters left: 3 (50 enodes) 1540202402.166 * * [misc]simplify: iters left: 2 (61 enodes) 1540202402.173 * * [misc]simplify: iters left: 1 (76 enodes) 1540202402.184 * [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)))))) 1540202402.184 * [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)))))))) 1540202402.184 * * * * [misc]progress: [ 1655 / 6878 ] simplifiying candidate # 1540202402.184 * [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))) 1540202402.184 * * [misc]simplify: iters left: 6 (19 enodes) 1540202402.188 * * [misc]simplify: iters left: 5 (29 enodes) 1540202402.192 * * [misc]simplify: iters left: 4 (45 enodes) 1540202402.199 * * [misc]simplify: iters left: 3 (76 enodes) 1540202402.215 * * [misc]simplify: iters left: 2 (131 enodes) 1540202402.235 * * [misc]simplify: iters left: 1 (185 enodes) 1540202402.268 * [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))))))) 1540202402.268 * [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))))))) 1540202402.268 * [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))))) 1540202402.268 * * [misc]simplify: iters left: 6 (19 enodes) 1540202402.272 * * [misc]simplify: iters left: 5 (26 enodes) 1540202402.275 * * [misc]simplify: iters left: 4 (36 enodes) 1540202402.280 * * [misc]simplify: iters left: 3 (50 enodes) 1540202402.286 * * [misc]simplify: iters left: 2 (61 enodes) 1540202402.294 * * [misc]simplify: iters left: 1 (76 enodes) 1540202402.304 * [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)))))) 1540202402.305 * [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)))))))) 1540202402.305 * * * * [misc]progress: [ 1656 / 6878 ] simplifiying candidate # 1540202402.305 * [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))))))) 1540202402.305 * * [misc]simplify: iters left: 6 (21 enodes) 1540202402.308 * * [misc]simplify: iters left: 5 (32 enodes) 1540202402.312 * * [misc]simplify: iters left: 4 (54 enodes) 1540202402.321 * * [misc]simplify: iters left: 3 (110 enodes) 1540202402.346 * * [misc]simplify: iters left: 2 (247 enodes) 1540202402.416 * * [misc]simplify: iters left: 1 (485 enodes) 1540202402.609 * [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))))))) 1540202402.609 * [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)))))))) 1540202402.610 * [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)))))) 1540202402.610 * * [misc]simplify: iters left: 6 (20 enodes) 1540202402.614 * * [misc]simplify: iters left: 5 (27 enodes) 1540202402.617 * * [misc]simplify: iters left: 4 (37 enodes) 1540202402.622 * * [misc]simplify: iters left: 3 (51 enodes) 1540202402.628 * * [misc]simplify: iters left: 2 (62 enodes) 1540202402.635 * * [misc]simplify: iters left: 1 (77 enodes) 1540202402.646 * [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)))))) 1540202402.646 * [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)))))))) 1540202402.647 * * * * [misc]progress: [ 1657 / 6878 ] simplifiying candidate # 1540202402.647 * [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)))))) 1540202402.647 * * [misc]simplify: iters left: 6 (20 enodes) 1540202402.650 * * [misc]simplify: iters left: 5 (29 enodes) 1540202402.654 * * [misc]simplify: iters left: 4 (45 enodes) 1540202402.660 * * [misc]simplify: iters left: 3 (76 enodes) 1540202402.673 * * [misc]simplify: iters left: 2 (131 enodes) 1540202402.693 * * [misc]simplify: iters left: 1 (185 enodes) 1540202402.726 * [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))))))) 1540202402.726 * [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)))))))) 1540202402.726 * [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)))))) 1540202402.726 * * [misc]simplify: iters left: 6 (20 enodes) 1540202402.729 * * [misc]simplify: iters left: 5 (27 enodes) 1540202402.732 * * [misc]simplify: iters left: 4 (37 enodes) 1540202402.737 * * [misc]simplify: iters left: 3 (51 enodes) 1540202402.744 * * [misc]simplify: iters left: 2 (62 enodes) 1540202402.752 * * [misc]simplify: iters left: 1 (77 enodes) 1540202402.762 * [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)))))) 1540202402.763 * [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)))))))) 1540202402.763 * * * * [misc]progress: [ 1658 / 6878 ] simplifiying candidate # 1540202402.763 * [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)) 1540202402.763 * * [misc]simplify: iters left: 6 (19 enodes) 1540202402.766 * * [misc]simplify: iters left: 5 (30 enodes) 1540202402.770 * * [misc]simplify: iters left: 4 (49 enodes) 1540202402.777 * * [misc]simplify: iters left: 3 (69 enodes) 1540202402.786 * * [misc]simplify: iters left: 2 (104 enodes) 1540202402.803 * * [misc]simplify: iters left: 1 (191 enodes) 1540202402.859 * [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))))))) 1540202402.859 * [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))))))) 1540202402.859 * [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))))) 1540202402.859 * * [misc]simplify: iters left: 6 (19 enodes) 1540202402.862 * * [misc]simplify: iters left: 5 (26 enodes) 1540202402.865 * * [misc]simplify: iters left: 4 (36 enodes) 1540202402.871 * * [misc]simplify: iters left: 3 (50 enodes) 1540202402.877 * * [misc]simplify: iters left: 2 (61 enodes) 1540202402.884 * * [misc]simplify: iters left: 1 (76 enodes) 1540202402.895 * [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)))))) 1540202402.895 * [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)))))))) 1540202402.895 * * * * [misc]progress: [ 1659 / 6878 ] simplifiying candidate # 1540202402.896 * [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))) 1540202402.896 * * [misc]simplify: iters left: 6 (20 enodes) 1540202402.899 * * [misc]simplify: iters left: 5 (32 enodes) 1540202402.904 * * [misc]simplify: iters left: 4 (46 enodes) 1540202402.911 * * [misc]simplify: iters left: 3 (84 enodes) 1540202402.927 * * [misc]simplify: iters left: 2 (180 enodes) 1540202402.966 * * [misc]simplify: iters left: 1 (297 enodes) 1540202403.021 * [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))) 1540202403.021 * [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))))))) 1540202403.021 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202403.021 * * [misc]simplify: iters left: 6 (18 enodes) 1540202403.024 * * [misc]simplify: iters left: 5 (25 enodes) 1540202403.027 * * [misc]simplify: iters left: 4 (35 enodes) 1540202403.032 * * [misc]simplify: iters left: 3 (49 enodes) 1540202403.038 * * [misc]simplify: iters left: 2 (60 enodes) 1540202403.045 * * [misc]simplify: iters left: 1 (75 enodes) 1540202403.055 * [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)))))) 1540202403.056 * [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)))))))) 1540202403.056 * * * * [misc]progress: [ 1660 / 6878 ] simplifiying candidate # 1540202403.056 * [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))) 1540202403.056 * * [misc]simplify: iters left: 6 (20 enodes) 1540202403.061 * * [misc]simplify: iters left: 5 (32 enodes) 1540202403.065 * * [misc]simplify: iters left: 4 (46 enodes) 1540202403.073 * * [misc]simplify: iters left: 3 (84 enodes) 1540202403.088 * * [misc]simplify: iters left: 2 (180 enodes) 1540202403.128 * * [misc]simplify: iters left: 1 (297 enodes) 1540202403.181 * [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))) 1540202403.181 * [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))))))) 1540202403.181 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202403.181 * * [misc]simplify: iters left: 6 (18 enodes) 1540202403.184 * * [misc]simplify: iters left: 5 (25 enodes) 1540202403.188 * * [misc]simplify: iters left: 4 (35 enodes) 1540202403.193 * * [misc]simplify: iters left: 3 (49 enodes) 1540202403.199 * * [misc]simplify: iters left: 2 (60 enodes) 1540202403.206 * * [misc]simplify: iters left: 1 (75 enodes) 1540202403.217 * [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)))))) 1540202403.217 * [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)))))))) 1540202403.217 * * * * [misc]progress: [ 1661 / 6878 ] simplifiying candidate # 1540202403.217 * [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))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540202403.217 * * [misc]simplify: iters left: 6 (22 enodes) 1540202403.221 * * [misc]simplify: iters left: 5 (35 enodes) 1540202403.225 * * [misc]simplify: iters left: 4 (56 enodes) 1540202403.234 * * [misc]simplify: iters left: 3 (126 enodes) 1540202403.264 * * [misc]simplify: iters left: 2 (309 enodes) 1540202403.376 * [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))))))) 1540202403.377 * [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)))))))) 1540202403.377 * [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)))))) 1540202403.377 * * [misc]simplify: iters left: 6 (19 enodes) 1540202403.379 * * [misc]simplify: iters left: 5 (26 enodes) 1540202403.383 * * [misc]simplify: iters left: 4 (36 enodes) 1540202403.387 * * [misc]simplify: iters left: 3 (50 enodes) 1540202403.393 * * [misc]simplify: iters left: 2 (61 enodes) 1540202403.400 * * [misc]simplify: iters left: 1 (76 enodes) 1540202403.411 * [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)))))) 1540202403.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt 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)))))))) 1540202403.411 * * * * [misc]progress: [ 1662 / 6878 ] simplifiying candidate # 1540202403.412 * [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)))))) 1540202403.412 * * [misc]simplify: iters left: 6 (21 enodes) 1540202403.415 * * [misc]simplify: iters left: 5 (32 enodes) 1540202403.419 * * [misc]simplify: iters left: 4 (46 enodes) 1540202403.426 * * [misc]simplify: iters left: 3 (84 enodes) 1540202403.443 * * [misc]simplify: iters left: 2 (180 enodes) 1540202403.480 * * [misc]simplify: iters left: 1 (339 enodes) 1540202403.577 * [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)))))) 1540202403.577 * [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)))))))) 1540202403.578 * [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)))))) 1540202403.578 * * [misc]simplify: iters left: 6 (19 enodes) 1540202403.580 * * [misc]simplify: iters left: 5 (26 enodes) 1540202403.584 * * [misc]simplify: iters left: 4 (36 enodes) 1540202403.588 * * [misc]simplify: iters left: 3 (50 enodes) 1540202403.594 * * [misc]simplify: iters left: 2 (61 enodes) 1540202403.601 * * [misc]simplify: iters left: 1 (76 enodes) 1540202403.612 * [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)))))) 1540202403.612 * [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)))))))) 1540202403.612 * * * * [misc]progress: [ 1663 / 6878 ] simplifiying candidate # 1540202403.613 * [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)) 1540202403.613 * * [misc]simplify: iters left: 6 (19 enodes) 1540202403.616 * * [misc]simplify: iters left: 5 (30 enodes) 1540202403.620 * * [misc]simplify: iters left: 4 (38 enodes) 1540202403.626 * * [misc]simplify: iters left: 3 (44 enodes) 1540202403.631 * * [misc]simplify: iters left: 2 (55 enodes) 1540202403.638 * * [misc]simplify: iters left: 1 (82 enodes) 1540202403.654 * [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))))))) 1540202403.654 * [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))))))) 1540202403.654 * [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))))) 1540202403.655 * * [misc]simplify: iters left: 6 (18 enodes) 1540202403.657 * * [misc]simplify: iters left: 5 (25 enodes) 1540202403.660 * * [misc]simplify: iters left: 4 (35 enodes) 1540202403.665 * * [misc]simplify: iters left: 3 (49 enodes) 1540202403.671 * * [misc]simplify: iters left: 2 (60 enodes) 1540202403.678 * * [misc]simplify: iters left: 1 (75 enodes) 1540202403.690 * [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)))))) 1540202403.690 * [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)))))))) 1540202403.690 * * * * [misc]progress: [ 1664 / 6878 ] simplifiying candidate # 1540202403.690 * [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))) 1540202403.690 * * [misc]simplify: iters left: 6 (19 enodes) 1540202403.693 * * [misc]simplify: iters left: 5 (29 enodes) 1540202403.698 * * [misc]simplify: iters left: 4 (45 enodes) 1540202403.704 * * [misc]simplify: iters left: 3 (76 enodes) 1540202403.718 * * [misc]simplify: iters left: 2 (131 enodes) 1540202403.738 * * [misc]simplify: iters left: 1 (185 enodes) 1540202403.772 * [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))))))) 1540202403.772 * [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))))))) 1540202403.772 * [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))))) 1540202403.773 * * [misc]simplify: iters left: 6 (19 enodes) 1540202403.775 * * [misc]simplify: iters left: 5 (26 enodes) 1540202403.779 * * [misc]simplify: iters left: 4 (36 enodes) 1540202403.783 * * [misc]simplify: iters left: 3 (50 enodes) 1540202403.789 * * [misc]simplify: iters left: 2 (61 enodes) 1540202403.797 * * [misc]simplify: iters left: 1 (76 enodes) 1540202403.808 * [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)))))) 1540202403.808 * [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)))))))) 1540202403.808 * * * * [misc]progress: [ 1665 / 6878 ] simplifiying candidate # 1540202403.808 * [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))) 1540202403.808 * * [misc]simplify: iters left: 6 (19 enodes) 1540202403.812 * * [misc]simplify: iters left: 5 (29 enodes) 1540202403.816 * * [misc]simplify: iters left: 4 (45 enodes) 1540202403.824 * * [misc]simplify: iters left: 3 (76 enodes) 1540202403.838 * * [misc]simplify: iters left: 2 (131 enodes) 1540202403.859 * * [misc]simplify: iters left: 1 (185 enodes) 1540202403.893 * [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))))))) 1540202403.894 * [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))))))) 1540202403.894 * [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))))) 1540202403.894 * * [misc]simplify: iters left: 6 (19 enodes) 1540202403.896 * * [misc]simplify: iters left: 5 (26 enodes) 1540202403.900 * * [misc]simplify: iters left: 4 (36 enodes) 1540202403.905 * * [misc]simplify: iters left: 3 (50 enodes) 1540202403.911 * * [misc]simplify: iters left: 2 (61 enodes) 1540202403.918 * * [misc]simplify: iters left: 1 (76 enodes) 1540202403.930 * [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)))))) 1540202403.930 * [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)))))))) 1540202403.930 * * * * [misc]progress: [ 1666 / 6878 ] simplifiying candidate # 1540202403.930 * [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))))))) 1540202403.930 * * [misc]simplify: iters left: 6 (21 enodes) 1540202403.933 * * [misc]simplify: iters left: 5 (32 enodes) 1540202403.938 * * [misc]simplify: iters left: 4 (54 enodes) 1540202403.946 * * [misc]simplify: iters left: 3 (110 enodes) 1540202403.971 * * [misc]simplify: iters left: 2 (247 enodes) 1540202404.043 * * [misc]simplify: iters left: 1 (485 enodes) 1540202404.239 * [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))))))) 1540202404.239 * [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)))))))) 1540202404.239 * [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)))))) 1540202404.240 * * [misc]simplify: iters left: 6 (20 enodes) 1540202404.242 * * [misc]simplify: iters left: 5 (27 enodes) 1540202404.246 * * [misc]simplify: iters left: 4 (37 enodes) 1540202404.251 * * [misc]simplify: iters left: 3 (51 enodes) 1540202404.257 * * [misc]simplify: iters left: 2 (62 enodes) 1540202404.264 * * [misc]simplify: iters left: 1 (77 enodes) 1540202404.276 * [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)))))) 1540202404.276 * [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)))))))) 1540202404.276 * * * * [misc]progress: [ 1667 / 6878 ] simplifiying candidate # 1540202404.276 * [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)))))) 1540202404.276 * * [misc]simplify: iters left: 6 (20 enodes) 1540202404.279 * * [misc]simplify: iters left: 5 (29 enodes) 1540202404.283 * * [misc]simplify: iters left: 4 (45 enodes) 1540202404.290 * * [misc]simplify: iters left: 3 (76 enodes) 1540202404.304 * * [misc]simplify: iters left: 2 (131 enodes) 1540202404.324 * * [misc]simplify: iters left: 1 (185 enodes) 1540202404.358 * [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))))))) 1540202404.358 * [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)))))))) 1540202404.358 * [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)))))) 1540202404.358 * * [misc]simplify: iters left: 6 (20 enodes) 1540202404.362 * * [misc]simplify: iters left: 5 (27 enodes) 1540202404.365 * * [misc]simplify: iters left: 4 (37 enodes) 1540202404.370 * * [misc]simplify: iters left: 3 (51 enodes) 1540202404.376 * * [misc]simplify: iters left: 2 (62 enodes) 1540202404.384 * * [misc]simplify: iters left: 1 (77 enodes) 1540202404.395 * [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)))))) 1540202404.395 * [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)))))))) 1540202404.395 * * * * [misc]progress: [ 1668 / 6878 ] simplifiying candidate # 1540202404.396 * [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)) 1540202404.396 * * [misc]simplify: iters left: 6 (19 enodes) 1540202404.398 * * [misc]simplify: iters left: 5 (30 enodes) 1540202404.403 * * [misc]simplify: iters left: 4 (49 enodes) 1540202404.410 * * [misc]simplify: iters left: 3 (69 enodes) 1540202404.419 * * [misc]simplify: iters left: 2 (104 enodes) 1540202404.437 * * [misc]simplify: iters left: 1 (191 enodes) 1540202404.494 * [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))))))) 1540202404.494 * [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))))))) 1540202404.494 * [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))))) 1540202404.495 * * [misc]simplify: iters left: 6 (19 enodes) 1540202404.497 * * [misc]simplify: iters left: 5 (26 enodes) 1540202404.501 * * [misc]simplify: iters left: 4 (36 enodes) 1540202404.506 * * [misc]simplify: iters left: 3 (50 enodes) 1540202404.512 * * [misc]simplify: iters left: 2 (61 enodes) 1540202404.519 * * [misc]simplify: iters left: 1 (76 enodes) 1540202404.530 * [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)))))) 1540202404.530 * [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)))))))) 1540202404.530 * * * * [misc]progress: [ 1669 / 6878 ] simplifiying candidate # 1540202404.530 * [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))) 1540202404.531 * * [misc]simplify: iters left: 6 (19 enodes) 1540202404.534 * * [misc]simplify: iters left: 5 (31 enodes) 1540202404.539 * * [misc]simplify: iters left: 4 (45 enodes) 1540202404.546 * * [misc]simplify: iters left: 3 (84 enodes) 1540202404.562 * * [misc]simplify: iters left: 2 (140 enodes) 1540202404.585 * * [misc]simplify: iters left: 1 (175 enodes) 1540202404.605 * [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))))))) 1540202404.605 * [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))))))) 1540202404.605 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202404.605 * * [misc]simplify: iters left: 6 (18 enodes) 1540202404.608 * * [misc]simplify: iters left: 5 (25 enodes) 1540202404.611 * * [misc]simplify: iters left: 4 (35 enodes) 1540202404.616 * * [misc]simplify: iters left: 3 (49 enodes) 1540202404.621 * * [misc]simplify: iters left: 2 (60 enodes) 1540202404.630 * * [misc]simplify: iters left: 1 (75 enodes) 1540202404.641 * [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)))))) 1540202404.641 * [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)))))))) 1540202404.641 * * * * [misc]progress: [ 1670 / 6878 ] simplifiying candidate # 1540202404.641 * [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))) 1540202404.641 * * [misc]simplify: iters left: 6 (19 enodes) 1540202404.644 * * [misc]simplify: iters left: 5 (31 enodes) 1540202404.649 * * [misc]simplify: iters left: 4 (45 enodes) 1540202404.656 * * [misc]simplify: iters left: 3 (84 enodes) 1540202404.670 * * [misc]simplify: iters left: 2 (140 enodes) 1540202404.693 * * [misc]simplify: iters left: 1 (175 enodes) 1540202404.714 * [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))))))) 1540202404.714 * [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))))))) 1540202404.714 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202404.714 * * [misc]simplify: iters left: 6 (18 enodes) 1540202404.716 * * [misc]simplify: iters left: 5 (25 enodes) 1540202404.720 * * [misc]simplify: iters left: 4 (35 enodes) 1540202404.724 * * [misc]simplify: iters left: 3 (49 enodes) 1540202404.730 * * [misc]simplify: iters left: 2 (60 enodes) 1540202404.737 * * [misc]simplify: iters left: 1 (75 enodes) 1540202404.748 * [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)))))) 1540202404.748 * [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)))))))) 1540202404.748 * * * * [misc]progress: [ 1671 / 6878 ] simplifiying candidate # 1540202404.748 * [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))))))) 1540202404.749 * * [misc]simplify: iters left: 6 (21 enodes) 1540202404.751 * * [misc]simplify: iters left: 5 (34 enodes) 1540202404.756 * * [misc]simplify: iters left: 4 (54 enodes) 1540202404.766 * * [misc]simplify: iters left: 3 (130 enodes) 1540202404.794 * * [misc]simplify: iters left: 2 (288 enodes) 1540202404.888 * [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)))))) 1540202404.888 * [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)))))))) 1540202404.888 * [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)))))) 1540202404.889 * * [misc]simplify: iters left: 6 (19 enodes) 1540202404.891 * * [misc]simplify: iters left: 5 (26 enodes) 1540202404.895 * * [misc]simplify: iters left: 4 (36 enodes) 1540202404.900 * * [misc]simplify: iters left: 3 (50 enodes) 1540202404.906 * * [misc]simplify: iters left: 2 (61 enodes) 1540202404.913 * * [misc]simplify: iters left: 1 (76 enodes) 1540202404.924 * [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)))))) 1540202404.924 * [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)))))))) 1540202404.924 * * * * [misc]progress: [ 1672 / 6878 ] simplifiying candidate # 1540202404.924 * [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)))))) 1540202404.924 * * [misc]simplify: iters left: 6 (20 enodes) 1540202404.927 * * [misc]simplify: iters left: 5 (31 enodes) 1540202404.931 * * [misc]simplify: iters left: 4 (45 enodes) 1540202404.939 * * [misc]simplify: iters left: 3 (84 enodes) 1540202404.954 * * [misc]simplify: iters left: 2 (142 enodes) 1540202404.977 * * [misc]simplify: iters left: 1 (236 enodes) 1540202405.024 * [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)))))) 1540202405.025 * [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)))))))) 1540202405.025 * [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)))))) 1540202405.025 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.028 * * [misc]simplify: iters left: 5 (26 enodes) 1540202405.031 * * [misc]simplify: iters left: 4 (36 enodes) 1540202405.036 * * [misc]simplify: iters left: 3 (50 enodes) 1540202405.042 * * [misc]simplify: iters left: 2 (61 enodes) 1540202405.049 * * [misc]simplify: iters left: 1 (76 enodes) 1540202405.061 * [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)))))) 1540202405.061 * [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)))))))) 1540202405.061 * * * * [misc]progress: [ 1673 / 6878 ] simplifiying candidate # 1540202405.061 * [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)) 1540202405.061 * * [misc]simplify: iters left: 6 (18 enodes) 1540202405.064 * * [misc]simplify: iters left: 5 (27 enodes) 1540202405.067 * * [misc]simplify: iters left: 4 (35 enodes) 1540202405.072 * * [misc]simplify: iters left: 3 (38 enodes) 1540202405.075 * * [misc]simplify: iters left: 2 (41 enodes) 1540202405.080 * [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)))))) 1540202405.080 * [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))))))) 1540202405.080 * [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))))) 1540202405.080 * * [misc]simplify: iters left: 6 (18 enodes) 1540202405.082 * * [misc]simplify: iters left: 5 (25 enodes) 1540202405.087 * * [misc]simplify: iters left: 4 (35 enodes) 1540202405.092 * * [misc]simplify: iters left: 3 (49 enodes) 1540202405.098 * * [misc]simplify: iters left: 2 (60 enodes) 1540202405.105 * * [misc]simplify: iters left: 1 (75 enodes) 1540202405.116 * [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)))))) 1540202405.116 * [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)))))))) 1540202405.116 * * * * [misc]progress: [ 1674 / 6878 ] simplifiying candidate # 1540202405.116 * [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) 1540202405.116 * * [misc]simplify: iters left: 6 (17 enodes) 1540202405.119 * * [misc]simplify: iters left: 5 (26 enodes) 1540202405.122 * * [misc]simplify: iters left: 4 (34 enodes) 1540202405.127 * * [misc]simplify: iters left: 3 (38 enodes) 1540202405.131 * * [misc]simplify: iters left: 2 (41 enodes) 1540202405.135 * [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))))))) 1540202405.135 * [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))))))) 1540202405.135 * [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))))) 1540202405.135 * * [misc]simplify: iters left: 6 (18 enodes) 1540202405.138 * * [misc]simplify: iters left: 5 (25 enodes) 1540202405.141 * * [misc]simplify: iters left: 4 (35 enodes) 1540202405.146 * * [misc]simplify: iters left: 3 (49 enodes) 1540202405.153 * * [misc]simplify: iters left: 2 (60 enodes) 1540202405.160 * * [misc]simplify: iters left: 1 (75 enodes) 1540202405.171 * [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)))))) 1540202405.171 * [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)))))))) 1540202405.171 * * * * [misc]progress: [ 1675 / 6878 ] simplifiying candidate # 1540202405.171 * [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))) 1540202405.172 * * [misc]simplify: iters left: 6 (16 enodes) 1540202405.174 * * [misc]simplify: iters left: 5 (23 enodes) 1540202405.177 * * [misc]simplify: iters left: 4 (31 enodes) 1540202405.181 * * [misc]simplify: iters left: 3 (34 enodes) 1540202405.185 * * [misc]simplify: iters left: 2 (40 enodes) 1540202405.190 * [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)))) 1540202405.190 * [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))))))) 1540202405.191 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202405.191 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.193 * * [misc]simplify: iters left: 5 (28 enodes) 1540202405.197 * * [misc]simplify: iters left: 4 (40 enodes) 1540202405.202 * * [misc]simplify: iters left: 3 (59 enodes) 1540202405.211 * * [misc]simplify: iters left: 2 (88 enodes) 1540202405.225 * * [misc]simplify: iters left: 1 (175 enodes) 1540202405.258 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202405.258 * [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)))))))) 1540202405.258 * * * * [misc]progress: [ 1676 / 6878 ] simplifiying candidate # 1540202405.258 * [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 (sqrt k)) (pow 2 1/2))) 1540202405.259 * * [misc]simplify: iters left: 6 (18 enodes) 1540202405.262 * * [misc]simplify: iters left: 5 (28 enodes) 1540202405.266 * * [misc]simplify: iters left: 4 (44 enodes) 1540202405.273 * * [misc]simplify: iters left: 3 (75 enodes) 1540202405.287 * * [misc]simplify: iters left: 2 (130 enodes) 1540202405.309 * * [misc]simplify: iters left: 1 (184 enodes) 1540202405.343 * [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))))))) 1540202405.343 * [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))))) 1540202405.343 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202405.343 * * [misc]simplify: iters left: 6 (17 enodes) 1540202405.345 * * [misc]simplify: iters left: 5 (22 enodes) 1540202405.348 * * [misc]simplify: iters left: 4 (26 enodes) 1540202405.352 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202405.352 * [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)))))))) 1540202405.352 * * * * [misc]progress: [ 1677 / 6878 ] simplifiying candidate # 1540202405.352 * [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))))))) 1540202405.353 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.356 * * [misc]simplify: iters left: 5 (26 enodes) 1540202405.359 * * [misc]simplify: iters left: 4 (35 enodes) 1540202405.364 * * [misc]simplify: iters left: 3 (40 enodes) 1540202405.368 * * [misc]simplify: iters left: 2 (41 enodes) 1540202405.374 * [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))))))) 1540202405.374 * [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)))))))) 1540202405.374 * [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)))))) 1540202405.374 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.377 * * [misc]simplify: iters left: 5 (24 enodes) 1540202405.380 * * [misc]simplify: iters left: 4 (28 enodes) 1540202405.384 * [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)))))) 1540202405.384 * [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)))))))) 1540202405.384 * * * * [misc]progress: [ 1678 / 6878 ] simplifiying candidate # 1540202405.384 * [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)))))) 1540202405.384 * * [misc]simplify: iters left: 6 (18 enodes) 1540202405.387 * * [misc]simplify: iters left: 5 (23 enodes) 1540202405.390 * * [misc]simplify: iters left: 4 (29 enodes) 1540202405.393 * [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)))))) 1540202405.393 * [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)))))))) 1540202405.394 * [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)))))) 1540202405.394 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.396 * * [misc]simplify: iters left: 5 (24 enodes) 1540202405.399 * * [misc]simplify: iters left: 4 (28 enodes) 1540202405.403 * [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)))))) 1540202405.403 * [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)))))))) 1540202405.403 * * * * [misc]progress: [ 1679 / 6878 ] simplifiying candidate # 1540202405.403 * [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))) 1540202405.404 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.407 * * [misc]simplify: iters left: 5 (29 enodes) 1540202405.411 * * [misc]simplify: iters left: 4 (48 enodes) 1540202405.419 * * [misc]simplify: iters left: 3 (89 enodes) 1540202405.435 * * [misc]simplify: iters left: 2 (150 enodes) 1540202405.460 * * [misc]simplify: iters left: 1 (197 enodes) 1540202405.498 * [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)))))) 1540202405.498 * [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))))))) 1540202405.498 * [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))))) 1540202405.498 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.501 * * [misc]simplify: iters left: 5 (26 enodes) 1540202405.504 * * [misc]simplify: iters left: 4 (36 enodes) 1540202405.509 * * [misc]simplify: iters left: 3 (50 enodes) 1540202405.515 * * [misc]simplify: iters left: 2 (61 enodes) 1540202405.522 * * [misc]simplify: iters left: 1 (76 enodes) 1540202405.533 * [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)))))) 1540202405.533 * [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)))))))) 1540202405.534 * * * * [misc]progress: [ 1680 / 6878 ] simplifiying candidate # 1540202405.534 * [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))) 1540202405.534 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.537 * * [misc]simplify: iters left: 5 (29 enodes) 1540202405.542 * * [misc]simplify: iters left: 4 (48 enodes) 1540202405.550 * * [misc]simplify: iters left: 3 (89 enodes) 1540202405.566 * * [misc]simplify: iters left: 2 (150 enodes) 1540202405.591 * * [misc]simplify: iters left: 1 (197 enodes) 1540202405.628 * [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)))))) 1540202405.628 * [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))))))) 1540202405.628 * [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))))) 1540202405.628 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.631 * * [misc]simplify: iters left: 5 (26 enodes) 1540202405.634 * * [misc]simplify: iters left: 4 (36 enodes) 1540202405.639 * * [misc]simplify: iters left: 3 (50 enodes) 1540202405.645 * * [misc]simplify: iters left: 2 (61 enodes) 1540202405.652 * * [misc]simplify: iters left: 1 (76 enodes) 1540202405.663 * [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)))))) 1540202405.663 * [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)))))))) 1540202405.663 * * * * [misc]progress: [ 1681 / 6878 ] simplifiying candidate # 1540202405.663 * [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))))))) 1540202405.664 * * [misc]simplify: iters left: 6 (21 enodes) 1540202405.666 * * [misc]simplify: iters left: 5 (34 enodes) 1540202405.672 * * [misc]simplify: iters left: 4 (70 enodes) 1540202405.685 * * [misc]simplify: iters left: 3 (153 enodes) 1540202405.717 * * [misc]simplify: iters left: 2 (315 enodes) 1540202405.813 * [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))))))) 1540202405.813 * [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)))))))) 1540202405.814 * [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)))))) 1540202405.814 * * [misc]simplify: iters left: 6 (20 enodes) 1540202405.816 * * [misc]simplify: iters left: 5 (27 enodes) 1540202405.820 * * [misc]simplify: iters left: 4 (37 enodes) 1540202405.825 * * [misc]simplify: iters left: 3 (51 enodes) 1540202405.831 * * [misc]simplify: iters left: 2 (62 enodes) 1540202405.839 * * [misc]simplify: iters left: 1 (77 enodes) 1540202405.850 * [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)))))) 1540202405.850 * [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)))))))) 1540202405.850 * * * * [misc]progress: [ 1682 / 6878 ] simplifiying candidate # 1540202405.851 * [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)))))) 1540202405.851 * * [misc]simplify: iters left: 6 (20 enodes) 1540202405.853 * * [misc]simplify: iters left: 5 (29 enodes) 1540202405.858 * * [misc]simplify: iters left: 4 (48 enodes) 1540202405.866 * * [misc]simplify: iters left: 3 (89 enodes) 1540202405.881 * * [misc]simplify: iters left: 2 (150 enodes) 1540202405.905 * * [misc]simplify: iters left: 1 (197 enodes) 1540202405.943 * [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))))) 1540202405.943 * [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)))))))) 1540202405.943 * [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)))))) 1540202405.943 * * [misc]simplify: iters left: 6 (20 enodes) 1540202405.946 * * [misc]simplify: iters left: 5 (27 enodes) 1540202405.949 * * [misc]simplify: iters left: 4 (37 enodes) 1540202405.954 * * [misc]simplify: iters left: 3 (51 enodes) 1540202405.961 * * [misc]simplify: iters left: 2 (62 enodes) 1540202405.968 * * [misc]simplify: iters left: 1 (77 enodes) 1540202405.979 * [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)))))) 1540202405.979 * [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)))))))) 1540202405.980 * * * * [misc]progress: [ 1683 / 6878 ] simplifiying candidate # 1540202405.980 * [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)) 1540202405.980 * * [misc]simplify: iters left: 6 (19 enodes) 1540202405.983 * * [misc]simplify: iters left: 5 (30 enodes) 1540202405.987 * * [misc]simplify: iters left: 4 (51 enodes) 1540202405.996 * * [misc]simplify: iters left: 3 (104 enodes) 1540202406.020 * * [misc]simplify: iters left: 2 (283 enodes) 1540202406.114 * [exit]simplify: Simplified to (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202406.114 * [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))))))) 1540202406.114 * [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))))) 1540202406.114 * * [misc]simplify: iters left: 6 (19 enodes) 1540202406.118 * * [misc]simplify: iters left: 5 (26 enodes) 1540202406.122 * * [misc]simplify: iters left: 4 (36 enodes) 1540202406.126 * * [misc]simplify: iters left: 3 (50 enodes) 1540202406.132 * * [misc]simplify: iters left: 2 (61 enodes) 1540202406.140 * * [misc]simplify: iters left: 1 (76 enodes) 1540202406.151 * [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)))))) 1540202406.151 * [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)))))))) 1540202406.151 * * * * [misc]progress: [ 1684 / 6878 ] simplifiying candidate # 1540202406.151 * [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))) 1540202406.151 * * [misc]simplify: iters left: 6 (20 enodes) 1540202406.155 * * [misc]simplify: iters left: 5 (29 enodes) 1540202406.159 * * [misc]simplify: iters left: 4 (41 enodes) 1540202406.165 * * [misc]simplify: iters left: 3 (55 enodes) 1540202406.172 * * [misc]simplify: iters left: 2 (66 enodes) 1540202406.180 * * [misc]simplify: iters left: 1 (81 enodes) 1540202406.193 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202406.193 * [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))))))) 1540202406.193 * [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))))) 1540202406.193 * * [misc]simplify: iters left: 6 (20 enodes) 1540202406.196 * * [misc]simplify: iters left: 5 (27 enodes) 1540202406.200 * * [misc]simplify: iters left: 4 (37 enodes) 1540202406.205 * * [misc]simplify: iters left: 3 (51 enodes) 1540202406.211 * * [misc]simplify: iters left: 2 (62 enodes) 1540202406.218 * * [misc]simplify: iters left: 1 (77 enodes) 1540202406.229 * [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)))))) 1540202406.229 * [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)))))))) 1540202406.229 * * * * [misc]progress: [ 1685 / 6878 ] simplifiying candidate # 1540202406.229 * [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))) 1540202406.229 * * [misc]simplify: iters left: 6 (20 enodes) 1540202406.232 * * [misc]simplify: iters left: 5 (29 enodes) 1540202406.237 * * [misc]simplify: iters left: 4 (41 enodes) 1540202406.242 * * [misc]simplify: iters left: 3 (55 enodes) 1540202406.249 * * [misc]simplify: iters left: 2 (66 enodes) 1540202406.258 * * [misc]simplify: iters left: 1 (81 enodes) 1540202406.270 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202406.270 * [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))))))) 1540202406.270 * [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))))) 1540202406.270 * * [misc]simplify: iters left: 6 (20 enodes) 1540202406.273 * * [misc]simplify: iters left: 5 (27 enodes) 1540202406.276 * * [misc]simplify: iters left: 4 (37 enodes) 1540202406.281 * * [misc]simplify: iters left: 3 (51 enodes) 1540202406.287 * * [misc]simplify: iters left: 2 (62 enodes) 1540202406.295 * * [misc]simplify: iters left: 1 (77 enodes) 1540202406.305 * [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)))))) 1540202406.306 * [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)))))))) 1540202406.306 * * * * [misc]progress: [ 1686 / 6878 ] simplifiying candidate # 1540202406.306 * [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))))))) 1540202406.306 * * [misc]simplify: iters left: 6 (22 enodes) 1540202406.309 * * [misc]simplify: iters left: 5 (32 enodes) 1540202406.313 * * [misc]simplify: iters left: 4 (50 enodes) 1540202406.321 * * [misc]simplify: iters left: 3 (83 enodes) 1540202406.334 * * [misc]simplify: iters left: 2 (138 enodes) 1540202406.356 * * [misc]simplify: iters left: 1 (203 enodes) 1540202406.396 * [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)))))) 1540202406.397 * [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)))))))) 1540202406.397 * [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)))))) 1540202406.397 * * [misc]simplify: iters left: 6 (21 enodes) 1540202406.400 * * [misc]simplify: iters left: 5 (28 enodes) 1540202406.404 * * [misc]simplify: iters left: 4 (38 enodes) 1540202406.409 * * [misc]simplify: iters left: 3 (52 enodes) 1540202406.415 * * [misc]simplify: iters left: 2 (63 enodes) 1540202406.423 * * [misc]simplify: iters left: 1 (78 enodes) 1540202406.434 * [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)))))) 1540202406.434 * [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)))))))) 1540202406.434 * * * * [misc]progress: [ 1687 / 6878 ] simplifiying candidate # 1540202406.435 * [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)))))) 1540202406.435 * * [misc]simplify: iters left: 6 (21 enodes) 1540202406.438 * * [misc]simplify: iters left: 5 (29 enodes) 1540202406.441 * * [misc]simplify: iters left: 4 (41 enodes) 1540202406.448 * * [misc]simplify: iters left: 3 (55 enodes) 1540202406.454 * * [misc]simplify: iters left: 2 (66 enodes) 1540202406.462 * * [misc]simplify: iters left: 1 (81 enodes) 1540202406.473 * [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)))))) 1540202406.473 * [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)))))))) 1540202406.474 * [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)))))) 1540202406.474 * * [misc]simplify: iters left: 6 (21 enodes) 1540202406.477 * * [misc]simplify: iters left: 5 (28 enodes) 1540202406.480 * * [misc]simplify: iters left: 4 (38 enodes) 1540202406.485 * * [misc]simplify: iters left: 3 (52 enodes) 1540202406.491 * * [misc]simplify: iters left: 2 (63 enodes) 1540202406.499 * * [misc]simplify: iters left: 1 (78 enodes) 1540202406.510 * [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)))))) 1540202406.511 * [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)))))))) 1540202406.511 * * * * [misc]progress: [ 1688 / 6878 ] simplifiying candidate # 1540202406.511 * [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)) 1540202406.511 * * [misc]simplify: iters left: 6 (20 enodes) 1540202406.514 * * [misc]simplify: iters left: 5 (29 enodes) 1540202406.518 * * [misc]simplify: iters left: 4 (42 enodes) 1540202406.523 * * [misc]simplify: iters left: 3 (58 enodes) 1540202406.530 * * [misc]simplify: iters left: 2 (72 enodes) 1540202406.540 * * [misc]simplify: iters left: 1 (108 enodes) 1540202406.560 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202406.561 * [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))))))) 1540202406.561 * [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))))) 1540202406.561 * * [misc]simplify: iters left: 6 (20 enodes) 1540202406.563 * * [misc]simplify: iters left: 5 (27 enodes) 1540202406.567 * * [misc]simplify: iters left: 4 (37 enodes) 1540202406.572 * * [misc]simplify: iters left: 3 (51 enodes) 1540202406.578 * * [misc]simplify: iters left: 2 (62 enodes) 1540202406.586 * * [misc]simplify: iters left: 1 (77 enodes) 1540202406.597 * [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)))))) 1540202406.597 * [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)))))))) 1540202406.597 * * * * [misc]progress: [ 1689 / 6878 ] simplifiying candidate # 1540202406.597 * [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))) 1540202406.597 * * [misc]simplify: iters left: 6 (18 enodes) 1540202406.600 * * [misc]simplify: iters left: 5 (26 enodes) 1540202406.604 * * [misc]simplify: iters left: 4 (38 enodes) 1540202406.609 * * [misc]simplify: iters left: 3 (52 enodes) 1540202406.616 * * [misc]simplify: iters left: 2 (63 enodes) 1540202406.624 * * [misc]simplify: iters left: 1 (78 enodes) 1540202406.636 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202406.636 * [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))))))) 1540202406.636 * [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))))) 1540202406.636 * * [misc]simplify: iters left: 6 (19 enodes) 1540202406.639 * * [misc]simplify: iters left: 5 (26 enodes) 1540202406.642 * * [misc]simplify: iters left: 4 (36 enodes) 1540202406.648 * * [misc]simplify: iters left: 3 (50 enodes) 1540202406.653 * * [misc]simplify: iters left: 2 (61 enodes) 1540202406.661 * * [misc]simplify: iters left: 1 (76 enodes) 1540202406.672 * [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)))))) 1540202406.672 * [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)))))))) 1540202406.672 * * * * [misc]progress: [ 1690 / 6878 ] simplifiying candidate # 1540202406.672 * [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))) 1540202406.672 * * [misc]simplify: iters left: 6 (18 enodes) 1540202406.675 * * [misc]simplify: iters left: 5 (26 enodes) 1540202406.679 * * [misc]simplify: iters left: 4 (38 enodes) 1540202406.684 * * [misc]simplify: iters left: 3 (52 enodes) 1540202406.691 * * [misc]simplify: iters left: 2 (63 enodes) 1540202406.699 * * [misc]simplify: iters left: 1 (78 enodes) 1540202406.711 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202406.711 * [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))))))) 1540202406.712 * [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))))) 1540202406.712 * * [misc]simplify: iters left: 6 (19 enodes) 1540202406.714 * * [misc]simplify: iters left: 5 (26 enodes) 1540202406.718 * * [misc]simplify: iters left: 4 (36 enodes) 1540202406.722 * * [misc]simplify: iters left: 3 (50 enodes) 1540202406.728 * * [misc]simplify: iters left: 2 (61 enodes) 1540202406.735 * * [misc]simplify: iters left: 1 (76 enodes) 1540202406.746 * [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)))))) 1540202406.746 * [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)))))))) 1540202406.746 * * * * [misc]progress: [ 1691 / 6878 ] simplifiying candidate # 1540202406.747 * [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))))))) 1540202406.747 * * [misc]simplify: iters left: 6 (20 enodes) 1540202406.749 * * [misc]simplify: iters left: 5 (29 enodes) 1540202406.753 * * [misc]simplify: iters left: 4 (47 enodes) 1540202406.760 * * [misc]simplify: iters left: 3 (80 enodes) 1540202406.773 * * [misc]simplify: iters left: 2 (135 enodes) 1540202406.794 * * [misc]simplify: iters left: 1 (193 enodes) 1540202406.834 * [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))))))) 1540202406.834 * [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)))))))) 1540202406.834 * [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)))))) 1540202406.834 * * [misc]simplify: iters left: 6 (20 enodes) 1540202406.838 * * [misc]simplify: iters left: 5 (27 enodes) 1540202406.841 * * [misc]simplify: iters left: 4 (37 enodes) 1540202406.846 * * [misc]simplify: iters left: 3 (51 enodes) 1540202406.852 * * [misc]simplify: iters left: 2 (62 enodes) 1540202406.859 * * [misc]simplify: iters left: 1 (77 enodes) 1540202406.870 * [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)))))) 1540202406.870 * [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)))))))) 1540202406.870 * * * * [misc]progress: [ 1692 / 6878 ] simplifiying candidate # 1540202406.871 * [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)))))) 1540202406.871 * * [misc]simplify: iters left: 6 (19 enodes) 1540202406.873 * * [misc]simplify: iters left: 5 (26 enodes) 1540202406.877 * * [misc]simplify: iters left: 4 (38 enodes) 1540202406.881 * * [misc]simplify: iters left: 3 (52 enodes) 1540202406.887 * * [misc]simplify: iters left: 2 (63 enodes) 1540202406.895 * * [misc]simplify: iters left: 1 (78 enodes) 1540202406.907 * [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)))))) 1540202406.907 * [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)))))))) 1540202406.907 * [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)))))) 1540202406.907 * * [misc]simplify: iters left: 6 (20 enodes) 1540202406.910 * * [misc]simplify: iters left: 5 (27 enodes) 1540202406.913 * * [misc]simplify: iters left: 4 (37 enodes) 1540202406.918 * * [misc]simplify: iters left: 3 (51 enodes) 1540202406.924 * * [misc]simplify: iters left: 2 (62 enodes) 1540202406.931 * * [misc]simplify: iters left: 1 (77 enodes) 1540202406.942 * [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)))))) 1540202406.942 * [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)))))))) 1540202406.942 * * * * [misc]progress: [ 1693 / 6878 ] simplifiying candidate # 1540202406.942 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202406.942 * * [misc]simplify: iters left: 6 (18 enodes) 1540202406.945 * * [misc]simplify: iters left: 5 (27 enodes) 1540202406.948 * * [misc]simplify: iters left: 4 (43 enodes) 1540202406.954 * * [misc]simplify: iters left: 3 (52 enodes) 1540202406.959 * * [misc]simplify: iters left: 2 (65 enodes) 1540202406.967 * * [misc]simplify: iters left: 1 (90 enodes) 1540202406.981 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202406.981 * [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))))))) 1540202406.981 * [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))))) 1540202406.981 * * [misc]simplify: iters left: 6 (19 enodes) 1540202406.984 * * [misc]simplify: iters left: 5 (26 enodes) 1540202406.987 * * [misc]simplify: iters left: 4 (36 enodes) 1540202406.992 * * [misc]simplify: iters left: 3 (50 enodes) 1540202406.997 * * [misc]simplify: iters left: 2 (61 enodes) 1540202407.004 * * [misc]simplify: iters left: 1 (76 enodes) 1540202407.015 * [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)))))) 1540202407.015 * [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)))))))) 1540202407.015 * * * * [misc]progress: [ 1694 / 6878 ] simplifiying candidate # 1540202407.016 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202407.016 * * [misc]simplify: iters left: 6 (19 enodes) 1540202407.019 * * [misc]simplify: iters left: 5 (29 enodes) 1540202407.023 * * [misc]simplify: iters left: 4 (44 enodes) 1540202407.029 * * [misc]simplify: iters left: 3 (60 enodes) 1540202407.038 * * [misc]simplify: iters left: 2 (79 enodes) 1540202407.047 * * [misc]simplify: iters left: 1 (106 enodes) 1540202407.059 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202407.060 * [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))))))) 1540202407.060 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202407.060 * * [misc]simplify: iters left: 6 (18 enodes) 1540202407.062 * * [misc]simplify: iters left: 5 (25 enodes) 1540202407.065 * * [misc]simplify: iters left: 4 (35 enodes) 1540202407.070 * * [misc]simplify: iters left: 3 (49 enodes) 1540202407.076 * * [misc]simplify: iters left: 2 (60 enodes) 1540202407.083 * * [misc]simplify: iters left: 1 (75 enodes) 1540202407.093 * [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)))))) 1540202407.093 * [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)))))))) 1540202407.093 * * * * [misc]progress: [ 1695 / 6878 ] simplifiying candidate # 1540202407.094 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540202407.094 * * [misc]simplify: iters left: 6 (19 enodes) 1540202407.097 * * [misc]simplify: iters left: 5 (29 enodes) 1540202407.102 * * [misc]simplify: iters left: 4 (44 enodes) 1540202407.108 * * [misc]simplify: iters left: 3 (60 enodes) 1540202407.116 * * [misc]simplify: iters left: 2 (79 enodes) 1540202407.125 * * [misc]simplify: iters left: 1 (106 enodes) 1540202407.137 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202407.137 * [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))))))) 1540202407.138 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202407.138 * * [misc]simplify: iters left: 6 (18 enodes) 1540202407.140 * * [misc]simplify: iters left: 5 (25 enodes) 1540202407.143 * * [misc]simplify: iters left: 4 (35 enodes) 1540202407.148 * * [misc]simplify: iters left: 3 (49 enodes) 1540202407.154 * * [misc]simplify: iters left: 2 (60 enodes) 1540202407.161 * * [misc]simplify: iters left: 1 (75 enodes) 1540202407.173 * [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)))))) 1540202407.173 * [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)))))))) 1540202407.173 * * * * [misc]progress: [ 1696 / 6878 ] simplifiying candidate # 1540202407.173 * [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))))))) 1540202407.173 * * [misc]simplify: iters left: 6 (21 enodes) 1540202407.176 * * [misc]simplify: iters left: 5 (32 enodes) 1540202407.181 * * [misc]simplify: iters left: 4 (54 enodes) 1540202407.188 * * [misc]simplify: iters left: 3 (106 enodes) 1540202407.207 * * [misc]simplify: iters left: 2 (200 enodes) 1540202407.249 * * [misc]simplify: iters left: 1 (439 enodes) 1540202407.439 * [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))))) 1540202407.439 * [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)))))))) 1540202407.439 * [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)))))) 1540202407.439 * * [misc]simplify: iters left: 6 (19 enodes) 1540202407.442 * * [misc]simplify: iters left: 5 (26 enodes) 1540202407.446 * * [misc]simplify: iters left: 4 (36 enodes) 1540202407.450 * * [misc]simplify: iters left: 3 (50 enodes) 1540202407.457 * * [misc]simplify: iters left: 2 (61 enodes) 1540202407.465 * * [misc]simplify: iters left: 1 (76 enodes) 1540202407.476 * [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)))))) 1540202407.476 * [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)))))))) 1540202407.476 * * * * [misc]progress: [ 1697 / 6878 ] simplifiying candidate # 1540202407.476 * [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)))))) 1540202407.476 * * [misc]simplify: iters left: 6 (20 enodes) 1540202407.479 * * [misc]simplify: iters left: 5 (29 enodes) 1540202407.483 * * [misc]simplify: iters left: 4 (44 enodes) 1540202407.488 * * [misc]simplify: iters left: 3 (59 enodes) 1540202407.495 * * [misc]simplify: iters left: 2 (75 enodes) 1540202407.504 * * [misc]simplify: iters left: 1 (113 enodes) 1540202407.519 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202407.519 * [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)))))))) 1540202407.519 * [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)))))) 1540202407.519 * * [misc]simplify: iters left: 6 (19 enodes) 1540202407.521 * * [misc]simplify: iters left: 5 (26 enodes) 1540202407.525 * * [misc]simplify: iters left: 4 (36 enodes) 1540202407.529 * * [misc]simplify: iters left: 3 (50 enodes) 1540202407.536 * * [misc]simplify: iters left: 2 (61 enodes) 1540202407.543 * * [misc]simplify: iters left: 1 (76 enodes) 1540202407.554 * [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)))))) 1540202407.554 * [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)))))))) 1540202407.554 * * * * [misc]progress: [ 1698 / 6878 ] simplifiying candidate # 1540202407.554 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540202407.554 * * [misc]simplify: iters left: 6 (18 enodes) 1540202407.557 * * [misc]simplify: iters left: 5 (27 enodes) 1540202407.560 * * [misc]simplify: iters left: 4 (33 enodes) 1540202407.564 * * [misc]simplify: iters left: 3 (38 enodes) 1540202407.568 * * [misc]simplify: iters left: 2 (42 enodes) 1540202407.573 * * [misc]simplify: iters left: 1 (58 enodes) 1540202407.581 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202407.581 * [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))))))) 1540202407.582 * [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))))) 1540202407.582 * * [misc]simplify: iters left: 6 (18 enodes) 1540202407.584 * * [misc]simplify: iters left: 5 (25 enodes) 1540202407.587 * * [misc]simplify: iters left: 4 (35 enodes) 1540202407.592 * * [misc]simplify: iters left: 3 (49 enodes) 1540202407.599 * * [misc]simplify: iters left: 2 (60 enodes) 1540202407.605 * * [misc]simplify: iters left: 1 (75 enodes) 1540202407.616 * [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)))))) 1540202407.616 * [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)))))))) 1540202407.617 * * * * [misc]progress: [ 1699 / 6878 ] simplifiying candidate # 1540202407.617 * [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))) 1540202407.617 * * [misc]simplify: iters left: 6 (18 enodes) 1540202407.621 * * [misc]simplify: iters left: 5 (26 enodes) 1540202407.624 * * [misc]simplify: iters left: 4 (38 enodes) 1540202407.630 * * [misc]simplify: iters left: 3 (52 enodes) 1540202407.636 * * [misc]simplify: iters left: 2 (63 enodes) 1540202407.644 * * [misc]simplify: iters left: 1 (78 enodes) 1540202407.655 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202407.655 * [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))))))) 1540202407.655 * [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))))) 1540202407.655 * * [misc]simplify: iters left: 6 (19 enodes) 1540202407.658 * * [misc]simplify: iters left: 5 (26 enodes) 1540202407.661 * * [misc]simplify: iters left: 4 (36 enodes) 1540202407.667 * * [misc]simplify: iters left: 3 (50 enodes) 1540202407.673 * * [misc]simplify: iters left: 2 (61 enodes) 1540202407.680 * * [misc]simplify: iters left: 1 (76 enodes) 1540202407.691 * [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)))))) 1540202407.691 * [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)))))))) 1540202407.691 * * * * [misc]progress: [ 1700 / 6878 ] simplifiying candidate # 1540202407.691 * [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))) 1540202407.691 * * [misc]simplify: iters left: 6 (18 enodes) 1540202407.694 * * [misc]simplify: iters left: 5 (26 enodes) 1540202407.698 * * [misc]simplify: iters left: 4 (38 enodes) 1540202407.703 * * [misc]simplify: iters left: 3 (52 enodes) 1540202407.710 * * [misc]simplify: iters left: 2 (63 enodes) 1540202407.718 * * [misc]simplify: iters left: 1 (78 enodes) 1540202407.729 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202407.730 * [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))))))) 1540202407.730 * [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))))) 1540202407.730 * * [misc]simplify: iters left: 6 (19 enodes) 1540202407.733 * * [misc]simplify: iters left: 5 (26 enodes) 1540202407.737 * * [misc]simplify: iters left: 4 (36 enodes) 1540202407.741 * * [misc]simplify: iters left: 3 (50 enodes) 1540202407.747 * * [misc]simplify: iters left: 2 (61 enodes) 1540202407.754 * * [misc]simplify: iters left: 1 (76 enodes) 1540202407.765 * [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)))))) 1540202407.765 * [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)))))))) 1540202407.765 * * * * [misc]progress: [ 1701 / 6878 ] simplifiying candidate # 1540202407.765 * [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))))))) 1540202407.765 * * [misc]simplify: iters left: 6 (20 enodes) 1540202407.768 * * [misc]simplify: iters left: 5 (29 enodes) 1540202407.772 * * [misc]simplify: iters left: 4 (47 enodes) 1540202407.779 * * [misc]simplify: iters left: 3 (80 enodes) 1540202407.792 * * [misc]simplify: iters left: 2 (135 enodes) 1540202407.814 * * [misc]simplify: iters left: 1 (193 enodes) 1540202407.853 * [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))))))) 1540202407.853 * [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)))))))) 1540202407.853 * [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)))))) 1540202407.853 * * [misc]simplify: iters left: 6 (20 enodes) 1540202407.856 * * [misc]simplify: iters left: 5 (27 enodes) 1540202407.860 * * [misc]simplify: iters left: 4 (37 enodes) 1540202407.865 * * [misc]simplify: iters left: 3 (51 enodes) 1540202407.871 * * [misc]simplify: iters left: 2 (62 enodes) 1540202407.878 * * [misc]simplify: iters left: 1 (77 enodes) 1540202407.889 * [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)))))) 1540202407.889 * [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)))))))) 1540202407.889 * * * * [misc]progress: [ 1702 / 6878 ] simplifiying candidate # 1540202407.890 * [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)))))) 1540202407.890 * * [misc]simplify: iters left: 6 (19 enodes) 1540202407.892 * * [misc]simplify: iters left: 5 (26 enodes) 1540202407.896 * * [misc]simplify: iters left: 4 (38 enodes) 1540202407.901 * * [misc]simplify: iters left: 3 (52 enodes) 1540202407.907 * * [misc]simplify: iters left: 2 (63 enodes) 1540202407.914 * * [misc]simplify: iters left: 1 (78 enodes) 1540202407.926 * [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)))))) 1540202407.926 * [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)))))))) 1540202407.926 * [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)))))) 1540202407.926 * * [misc]simplify: iters left: 6 (20 enodes) 1540202407.929 * * [misc]simplify: iters left: 5 (27 enodes) 1540202407.932 * * [misc]simplify: iters left: 4 (37 enodes) 1540202407.937 * * [misc]simplify: iters left: 3 (51 enodes) 1540202407.943 * * [misc]simplify: iters left: 2 (62 enodes) 1540202407.950 * * [misc]simplify: iters left: 1 (77 enodes) 1540202407.961 * [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)))))) 1540202407.961 * [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)))))))) 1540202407.961 * * * * [misc]progress: [ 1703 / 6878 ] simplifiying candidate # 1540202407.961 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202407.961 * * [misc]simplify: iters left: 6 (18 enodes) 1540202407.964 * * [misc]simplify: iters left: 5 (27 enodes) 1540202407.968 * * [misc]simplify: iters left: 4 (43 enodes) 1540202407.973 * * [misc]simplify: iters left: 3 (52 enodes) 1540202407.978 * * [misc]simplify: iters left: 2 (65 enodes) 1540202407.986 * * [misc]simplify: iters left: 1 (90 enodes) 1540202408.000 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.000 * [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))))))) 1540202408.000 * [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))))) 1540202408.000 * * [misc]simplify: iters left: 6 (19 enodes) 1540202408.003 * * [misc]simplify: iters left: 5 (26 enodes) 1540202408.006 * * [misc]simplify: iters left: 4 (36 enodes) 1540202408.011 * * [misc]simplify: iters left: 3 (50 enodes) 1540202408.017 * * [misc]simplify: iters left: 2 (61 enodes) 1540202408.025 * * [misc]simplify: iters left: 1 (76 enodes) 1540202408.036 * [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)))))) 1540202408.036 * [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)))))))) 1540202408.036 * * * * [misc]progress: [ 1704 / 6878 ] simplifiying candidate # 1540202408.036 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202408.036 * * [misc]simplify: iters left: 6 (18 enodes) 1540202408.039 * * [misc]simplify: iters left: 5 (28 enodes) 1540202408.043 * * [misc]simplify: iters left: 4 (42 enodes) 1540202408.049 * * [misc]simplify: iters left: 3 (61 enodes) 1540202408.059 * * [misc]simplify: iters left: 2 (84 enodes) 1540202408.068 * * [misc]simplify: iters left: 1 (95 enodes) 1540202408.079 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.079 * [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))))))) 1540202408.080 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202408.080 * * [misc]simplify: iters left: 6 (18 enodes) 1540202408.082 * * [misc]simplify: iters left: 5 (25 enodes) 1540202408.085 * * [misc]simplify: iters left: 4 (35 enodes) 1540202408.090 * * [misc]simplify: iters left: 3 (49 enodes) 1540202408.096 * * [misc]simplify: iters left: 2 (60 enodes) 1540202408.103 * * [misc]simplify: iters left: 1 (75 enodes) 1540202408.113 * [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)))))) 1540202408.114 * [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)))))))) 1540202408.114 * * * * [misc]progress: [ 1705 / 6878 ] simplifiying candidate # 1540202408.114 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540202408.114 * * [misc]simplify: iters left: 6 (18 enodes) 1540202408.117 * * [misc]simplify: iters left: 5 (28 enodes) 1540202408.121 * * [misc]simplify: iters left: 4 (42 enodes) 1540202408.128 * * [misc]simplify: iters left: 3 (61 enodes) 1540202408.137 * * [misc]simplify: iters left: 2 (84 enodes) 1540202408.146 * * [misc]simplify: iters left: 1 (95 enodes) 1540202408.157 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.157 * [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))))))) 1540202408.157 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202408.158 * * [misc]simplify: iters left: 6 (18 enodes) 1540202408.160 * * [misc]simplify: iters left: 5 (25 enodes) 1540202408.163 * * [misc]simplify: iters left: 4 (35 enodes) 1540202408.168 * * [misc]simplify: iters left: 3 (49 enodes) 1540202408.174 * * [misc]simplify: iters left: 2 (60 enodes) 1540202408.181 * * [misc]simplify: iters left: 1 (75 enodes) 1540202408.192 * [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)))))) 1540202408.192 * [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)))))))) 1540202408.193 * * * * [misc]progress: [ 1706 / 6878 ] simplifiying candidate # 1540202408.193 * [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))))))) 1540202408.193 * * [misc]simplify: iters left: 6 (20 enodes) 1540202408.196 * * [misc]simplify: iters left: 5 (31 enodes) 1540202408.200 * * [misc]simplify: iters left: 4 (51 enodes) 1540202408.207 * * [misc]simplify: iters left: 3 (90 enodes) 1540202408.222 * * [misc]simplify: iters left: 2 (165 enodes) 1540202408.254 * * [misc]simplify: iters left: 1 (367 enodes) 1540202408.412 * [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))))))) 1540202408.412 * [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)))))))) 1540202408.412 * [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)))))) 1540202408.412 * * [misc]simplify: iters left: 6 (19 enodes) 1540202408.415 * * [misc]simplify: iters left: 5 (26 enodes) 1540202408.418 * * [misc]simplify: iters left: 4 (36 enodes) 1540202408.425 * * [misc]simplify: iters left: 3 (50 enodes) 1540202408.431 * * [misc]simplify: iters left: 2 (61 enodes) 1540202408.437 * * [misc]simplify: iters left: 1 (76 enodes) 1540202408.448 * [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)))))) 1540202408.448 * [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)))))))) 1540202408.448 * * * * [misc]progress: [ 1707 / 6878 ] simplifiying candidate # 1540202408.448 * [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)))))) 1540202408.448 * * [misc]simplify: iters left: 6 (19 enodes) 1540202408.451 * * [misc]simplify: iters left: 5 (28 enodes) 1540202408.455 * * [misc]simplify: iters left: 4 (42 enodes) 1540202408.460 * * [misc]simplify: iters left: 3 (60 enodes) 1540202408.468 * * [misc]simplify: iters left: 2 (79 enodes) 1540202408.475 * * [misc]simplify: iters left: 1 (107 enodes) 1540202408.490 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.490 * [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)))))))) 1540202408.490 * [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)))))) 1540202408.491 * * [misc]simplify: iters left: 6 (19 enodes) 1540202408.493 * * [misc]simplify: iters left: 5 (26 enodes) 1540202408.496 * * [misc]simplify: iters left: 4 (36 enodes) 1540202408.501 * * [misc]simplify: iters left: 3 (50 enodes) 1540202408.507 * * [misc]simplify: iters left: 2 (61 enodes) 1540202408.514 * * [misc]simplify: iters left: 1 (76 enodes) 1540202408.525 * [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)))))) 1540202408.525 * [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)))))))) 1540202408.525 * * * * [misc]progress: [ 1708 / 6878 ] simplifiying candidate # 1540202408.525 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540202408.525 * * [misc]simplify: iters left: 6 (17 enodes) 1540202408.527 * * [misc]simplify: iters left: 5 (24 enodes) 1540202408.530 * * [misc]simplify: iters left: 4 (30 enodes) 1540202408.534 * * [misc]simplify: iters left: 3 (33 enodes) 1540202408.537 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.537 * [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))))))) 1540202408.538 * [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))))) 1540202408.538 * * [misc]simplify: iters left: 6 (18 enodes) 1540202408.540 * * [misc]simplify: iters left: 5 (25 enodes) 1540202408.543 * * [misc]simplify: iters left: 4 (35 enodes) 1540202408.548 * * [misc]simplify: iters left: 3 (49 enodes) 1540202408.555 * * [misc]simplify: iters left: 2 (60 enodes) 1540202408.562 * * [misc]simplify: iters left: 1 (75 enodes) 1540202408.572 * [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)))))) 1540202408.572 * [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)))))))) 1540202408.572 * * * * [misc]progress: [ 1709 / 6878 ] simplifiying candidate # 1540202408.572 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1) 1540202408.573 * * [misc]simplify: iters left: 6 (16 enodes) 1540202408.575 * * [misc]simplify: iters left: 5 (23 enodes) 1540202408.577 * * [misc]simplify: iters left: 4 (29 enodes) 1540202408.581 * * [misc]simplify: iters left: 3 (32 enodes) 1540202408.585 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.585 * [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))))))) 1540202408.585 * [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))))) 1540202408.585 * * [misc]simplify: iters left: 6 (18 enodes) 1540202408.587 * * [misc]simplify: iters left: 5 (25 enodes) 1540202408.591 * * [misc]simplify: iters left: 4 (35 enodes) 1540202408.595 * * [misc]simplify: iters left: 3 (49 enodes) 1540202408.601 * * [misc]simplify: iters left: 2 (60 enodes) 1540202408.608 * * [misc]simplify: iters left: 1 (75 enodes) 1540202408.619 * [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)))))) 1540202408.619 * [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)))))))) 1540202408.619 * * * * [misc]progress: [ 1710 / 6878 ] simplifiying candidate # 1540202408.619 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540202408.620 * * [misc]simplify: iters left: 6 (15 enodes) 1540202408.622 * * [misc]simplify: iters left: 5 (20 enodes) 1540202408.625 * * [misc]simplify: iters left: 4 (26 enodes) 1540202408.628 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.628 * [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))))))) 1540202408.629 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202408.629 * * [misc]simplify: iters left: 6 (19 enodes) 1540202408.631 * * [misc]simplify: iters left: 5 (28 enodes) 1540202408.635 * * [misc]simplify: iters left: 4 (40 enodes) 1540202408.640 * * [misc]simplify: iters left: 3 (59 enodes) 1540202408.648 * * [misc]simplify: iters left: 2 (88 enodes) 1540202408.661 * * [misc]simplify: iters left: 1 (175 enodes) 1540202408.695 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.695 * [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)))))))) 1540202408.695 * * * * [misc]progress: [ 1711 / 6878 ] simplifiying candidate # 1540202408.695 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202408.695 * * [misc]simplify: iters left: 6 (17 enodes) 1540202408.698 * * [misc]simplify: iters left: 5 (25 enodes) 1540202408.702 * * [misc]simplify: iters left: 4 (37 enodes) 1540202408.707 * * [misc]simplify: iters left: 3 (51 enodes) 1540202408.714 * * [misc]simplify: iters left: 2 (62 enodes) 1540202408.722 * * [misc]simplify: iters left: 1 (77 enodes) 1540202408.733 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.733 * [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))))) 1540202408.733 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202408.733 * * [misc]simplify: iters left: 6 (17 enodes) 1540202408.736 * * [misc]simplify: iters left: 5 (22 enodes) 1540202408.738 * * [misc]simplify: iters left: 4 (26 enodes) 1540202408.742 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540202408.742 * [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)))))))) 1540202408.742 * * * * [misc]progress: [ 1712 / 6878 ] simplifiying candidate # 1540202408.742 * [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))))))) 1540202408.742 * * [misc]simplify: iters left: 6 (20 enodes) 1540202408.745 * * [misc]simplify: iters left: 5 (32 enodes) 1540202408.749 * * [misc]simplify: iters left: 4 (59 enodes) 1540202408.760 * * [misc]simplify: iters left: 3 (128 enodes) 1540202408.785 * * [misc]simplify: iters left: 2 (266 enodes) 1540202408.856 * * [misc]simplify: iters left: 1 (457 enodes) 1540202409.005 * [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))))))) 1540202409.005 * [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)))))))) 1540202409.005 * [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)))))) 1540202409.005 * * [misc]simplify: iters left: 6 (19 enodes) 1540202409.008 * * [misc]simplify: iters left: 5 (26 enodes) 1540202409.011 * * [misc]simplify: iters left: 4 (37 enodes) 1540202409.016 * * [misc]simplify: iters left: 3 (52 enodes) 1540202409.022 * * [misc]simplify: iters left: 2 (69 enodes) 1540202409.031 * * [misc]simplify: iters left: 1 (86 enodes) 1540202409.044 * [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)))))) 1540202409.044 * [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)))))))) 1540202409.044 * * * * [misc]progress: [ 1713 / 6878 ] simplifiying candidate # 1540202409.045 * [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)))))) 1540202409.045 * * [misc]simplify: iters left: 6 (19 enodes) 1540202409.047 * * [misc]simplify: iters left: 5 (29 enodes) 1540202409.051 * * [misc]simplify: iters left: 4 (48 enodes) 1540202409.058 * * [misc]simplify: iters left: 3 (91 enodes) 1540202409.073 * * [misc]simplify: iters left: 2 (149 enodes) 1540202409.099 * * [misc]simplify: iters left: 1 (195 enodes) 1540202409.131 * [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)))))) 1540202409.131 * [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)))))))) 1540202409.131 * [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)))))) 1540202409.131 * * [misc]simplify: iters left: 6 (19 enodes) 1540202409.134 * * [misc]simplify: iters left: 5 (26 enodes) 1540202409.138 * * [misc]simplify: iters left: 4 (37 enodes) 1540202409.142 * * [misc]simplify: iters left: 3 (52 enodes) 1540202409.149 * * [misc]simplify: iters left: 2 (69 enodes) 1540202409.158 * * [misc]simplify: iters left: 1 (86 enodes) 1540202409.170 * [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)))))) 1540202409.170 * [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)))))))) 1540202409.170 * * * * [misc]progress: [ 1714 / 6878 ] simplifiying candidate # 1540202409.171 * [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))) 1540202409.171 * * [misc]simplify: iters left: 6 (16 enodes) 1540202409.174 * * [misc]simplify: iters left: 5 (29 enodes) 1540202409.179 * * [misc]simplify: iters left: 4 (61 enodes) 1540202409.192 * * [misc]simplify: iters left: 3 (196 enodes) 1540202409.263 * [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)))))) 1540202409.263 * [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))))))) 1540202409.263 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202409.264 * * [misc]simplify: iters left: 6 (16 enodes) 1540202409.266 * * [misc]simplify: iters left: 5 (24 enodes) 1540202409.269 * * [misc]simplify: iters left: 4 (41 enodes) 1540202409.275 * * [misc]simplify: iters left: 3 (86 enodes) 1540202409.292 * * [misc]simplify: iters left: 2 (151 enodes) 1540202409.322 * * [misc]simplify: iters left: 1 (233 enodes) 1540202409.376 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540202409.376 * [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))))))) 1540202409.376 * * * * [misc]progress: [ 1715 / 6878 ] simplifiying candidate # 1540202409.376 * [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))) 1540202409.376 * * [misc]simplify: iters left: 6 (16 enodes) 1540202409.379 * * [misc]simplify: iters left: 5 (29 enodes) 1540202409.384 * * [misc]simplify: iters left: 4 (61 enodes) 1540202409.397 * * [misc]simplify: iters left: 3 (196 enodes) 1540202409.470 * [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)))))) 1540202409.470 * [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))))))) 1540202409.470 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202409.470 * * [misc]simplify: iters left: 6 (16 enodes) 1540202409.473 * * [misc]simplify: iters left: 5 (24 enodes) 1540202409.476 * * [misc]simplify: iters left: 4 (41 enodes) 1540202409.482 * * [misc]simplify: iters left: 3 (86 enodes) 1540202409.498 * * [misc]simplify: iters left: 2 (151 enodes) 1540202409.528 * * [misc]simplify: iters left: 1 (233 enodes) 1540202409.581 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540202409.581 * [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))))))) 1540202409.581 * * * * [misc]progress: [ 1716 / 6878 ] simplifiying candidate # 1540202409.582 * [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))))))) 1540202409.582 * * [misc]simplify: iters left: 6 (20 enodes) 1540202409.585 * * [misc]simplify: iters left: 5 (38 enodes) 1540202409.592 * * [misc]simplify: iters left: 4 (93 enodes) 1540202409.612 * * [misc]simplify: iters left: 3 (308 enodes) 1540202409.755 * [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))) 1540202409.755 * [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)))))))) 1540202409.756 * [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)))))) 1540202409.756 * * [misc]simplify: iters left: 6 (19 enodes) 1540202409.758 * * [misc]simplify: iters left: 5 (28 enodes) 1540202409.764 * * [misc]simplify: iters left: 4 (46 enodes) 1540202409.771 * * [misc]simplify: iters left: 3 (91 enodes) 1540202409.786 * * [misc]simplify: iters left: 2 (156 enodes) 1540202409.816 * * [misc]simplify: iters left: 1 (235 enodes) 1540202409.868 * [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)))))) 1540202409.868 * [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)))))))) 1540202409.868 * * * * [misc]progress: [ 1717 / 6878 ] simplifiying candidate # 1540202409.868 * [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)))))) 1540202409.868 * * [misc]simplify: iters left: 6 (19 enodes) 1540202409.871 * * [misc]simplify: iters left: 5 (33 enodes) 1540202409.875 * * [misc]simplify: iters left: 4 (68 enodes) 1540202409.890 * * [misc]simplify: iters left: 3 (203 enodes) 1540202409.963 * [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)))))) 1540202409.963 * [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)))))))) 1540202409.963 * [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)))))) 1540202409.964 * * [misc]simplify: iters left: 6 (19 enodes) 1540202409.966 * * [misc]simplify: iters left: 5 (28 enodes) 1540202409.970 * * [misc]simplify: iters left: 4 (46 enodes) 1540202409.977 * * [misc]simplify: iters left: 3 (91 enodes) 1540202409.992 * * [misc]simplify: iters left: 2 (156 enodes) 1540202410.025 * * [misc]simplify: iters left: 1 (235 enodes) 1540202410.078 * [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)))))) 1540202410.078 * [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)))))))) 1540202410.078 * * * * [misc]progress: [ 1718 / 6878 ] simplifiying candidate # 1540202410.078 * [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)) 1540202410.078 * * [misc]simplify: iters left: 6 (15 enodes) 1540202410.080 * * [misc]simplify: iters left: 5 (29 enodes) 1540202410.085 * * [misc]simplify: iters left: 4 (65 enodes) 1540202410.098 * * [misc]simplify: iters left: 3 (189 enodes) 1540202410.198 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) 1540202410.198 * [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))))))) 1540202410.199 * [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))))) 1540202410.199 * * [misc]simplify: iters left: 6 (18 enodes) 1540202410.201 * * [misc]simplify: iters left: 5 (27 enodes) 1540202410.205 * * [misc]simplify: iters left: 4 (45 enodes) 1540202410.212 * * [misc]simplify: iters left: 3 (90 enodes) 1540202410.227 * * [misc]simplify: iters left: 2 (155 enodes) 1540202410.259 * * [misc]simplify: iters left: 1 (238 enodes) 1540202410.313 * [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)))))) 1540202410.313 * [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)))))))) 1540202410.313 * * * * [misc]progress: [ 1719 / 6878 ] simplifiying candidate # 1540202410.313 * [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))) 1540202410.313 * * [misc]simplify: iters left: 6 (19 enodes) 1540202410.317 * * [misc]simplify: iters left: 5 (31 enodes) 1540202410.321 * * [misc]simplify: iters left: 4 (55 enodes) 1540202410.330 * * [misc]simplify: iters left: 3 (136 enodes) 1540202410.363 * * [misc]simplify: iters left: 2 (352 enodes) 1540202410.501 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202410.501 * [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))))))) 1540202410.501 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202410.501 * * [misc]simplify: iters left: 6 (18 enodes) 1540202410.504 * * [misc]simplify: iters left: 5 (26 enodes) 1540202410.508 * * [misc]simplify: iters left: 4 (44 enodes) 1540202410.514 * * [misc]simplify: iters left: 3 (92 enodes) 1540202410.532 * * [misc]simplify: iters left: 2 (179 enodes) 1540202410.570 * * [misc]simplify: iters left: 1 (315 enodes) 1540202410.670 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202410.670 * [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))))) 1540202410.670 * * * * [misc]progress: [ 1720 / 6878 ] simplifiying candidate # 1540202410.670 * [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))) 1540202410.670 * * [misc]simplify: iters left: 6 (19 enodes) 1540202410.673 * * [misc]simplify: iters left: 5 (31 enodes) 1540202410.678 * * [misc]simplify: iters left: 4 (55 enodes) 1540202410.688 * * [misc]simplify: iters left: 3 (136 enodes) 1540202410.722 * * [misc]simplify: iters left: 2 (352 enodes) 1540202410.860 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202410.860 * [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))))))) 1540202410.860 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202410.860 * * [misc]simplify: iters left: 6 (18 enodes) 1540202410.862 * * [misc]simplify: iters left: 5 (26 enodes) 1540202410.868 * * [misc]simplify: iters left: 4 (44 enodes) 1540202410.874 * * [misc]simplify: iters left: 3 (92 enodes) 1540202410.891 * * [misc]simplify: iters left: 2 (179 enodes) 1540202410.929 * * [misc]simplify: iters left: 1 (315 enodes) 1540202411.027 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202411.027 * [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))))) 1540202411.027 * * * * [misc]progress: [ 1721 / 6878 ] simplifiying candidate # 1540202411.028 * [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))))))) 1540202411.028 * * [misc]simplify: iters left: 6 (23 enodes) 1540202411.031 * * [misc]simplify: iters left: 5 (38 enodes) 1540202411.037 * * [misc]simplify: iters left: 4 (71 enodes) 1540202411.050 * * [misc]simplify: iters left: 3 (188 enodes) 1540202411.112 * [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)))))) 1540202411.112 * [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)))))))) 1540202411.112 * [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)))))) 1540202411.113 * * [misc]simplify: iters left: 6 (21 enodes) 1540202411.115 * * [misc]simplify: iters left: 5 (30 enodes) 1540202411.119 * * [misc]simplify: iters left: 4 (49 enodes) 1540202411.126 * * [misc]simplify: iters left: 3 (97 enodes) 1540202411.143 * * [misc]simplify: iters left: 2 (184 enodes) 1540202411.183 * * [misc]simplify: iters left: 1 (320 enodes) 1540202411.281 * [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)))))) 1540202411.281 * [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)))))))) 1540202411.281 * * * * [misc]progress: [ 1722 / 6878 ] simplifiying candidate # 1540202411.281 * [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)))))) 1540202411.281 * * [misc]simplify: iters left: 6 (22 enodes) 1540202411.284 * * [misc]simplify: iters left: 5 (35 enodes) 1540202411.289 * * [misc]simplify: iters left: 4 (62 enodes) 1540202411.299 * * [misc]simplify: iters left: 3 (143 enodes) 1540202411.334 * * [misc]simplify: iters left: 2 (359 enodes) 1540202411.472 * [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))))) 1540202411.472 * [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)))))))) 1540202411.472 * [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)))))) 1540202411.472 * * [misc]simplify: iters left: 6 (21 enodes) 1540202411.475 * * [misc]simplify: iters left: 5 (30 enodes) 1540202411.479 * * [misc]simplify: iters left: 4 (49 enodes) 1540202411.486 * * [misc]simplify: iters left: 3 (97 enodes) 1540202411.505 * * [misc]simplify: iters left: 2 (184 enodes) 1540202411.543 * * [misc]simplify: iters left: 1 (320 enodes) 1540202411.641 * [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)))))) 1540202411.641 * [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)))))))) 1540202411.642 * * * * [misc]progress: [ 1723 / 6878 ] simplifiying candidate # 1540202411.642 * [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)) 1540202411.642 * * [misc]simplify: iters left: 6 (18 enodes) 1540202411.644 * * [misc]simplify: iters left: 5 (30 enodes) 1540202411.649 * * [misc]simplify: iters left: 4 (51 enodes) 1540202411.657 * * [misc]simplify: iters left: 3 (114 enodes) 1540202411.688 * * [misc]simplify: iters left: 2 (299 enodes) 1540202411.816 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202411.817 * [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))))))) 1540202411.817 * [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))))) 1540202411.817 * * [misc]simplify: iters left: 6 (20 enodes) 1540202411.820 * * [misc]simplify: iters left: 5 (29 enodes) 1540202411.824 * * [misc]simplify: iters left: 4 (48 enodes) 1540202411.831 * * [misc]simplify: iters left: 3 (96 enodes) 1540202411.850 * * [misc]simplify: iters left: 2 (183 enodes) 1540202411.888 * * [misc]simplify: iters left: 1 (325 enodes) 1540202411.990 * [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))))) 1540202411.990 * [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))))))) 1540202411.990 * * * * [misc]progress: [ 1724 / 6878 ] simplifiying candidate # 1540202411.990 * [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))) 1540202411.991 * * [misc]simplify: iters left: 6 (17 enodes) 1540202411.994 * * [misc]simplify: iters left: 5 (28 enodes) 1540202411.998 * * [misc]simplify: iters left: 4 (52 enodes) 1540202412.007 * * [misc]simplify: iters left: 3 (133 enodes) 1540202412.042 * * [misc]simplify: iters left: 2 (351 enodes) 1540202412.177 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202412.177 * [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))))))) 1540202412.178 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202412.178 * * [misc]simplify: iters left: 6 (17 enodes) 1540202412.180 * * [misc]simplify: iters left: 5 (25 enodes) 1540202412.183 * * [misc]simplify: iters left: 4 (43 enodes) 1540202412.190 * * [misc]simplify: iters left: 3 (91 enodes) 1540202412.206 * * [misc]simplify: iters left: 2 (178 enodes) 1540202412.245 * * [misc]simplify: iters left: 1 (319 enodes) 1540202412.343 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540202412.343 * [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))))))) 1540202412.343 * * * * [misc]progress: [ 1725 / 6878 ] simplifiying candidate # 1540202412.343 * [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))) 1540202412.343 * * [misc]simplify: iters left: 6 (17 enodes) 1540202412.346 * * [misc]simplify: iters left: 5 (28 enodes) 1540202412.352 * * [misc]simplify: iters left: 4 (52 enodes) 1540202412.361 * * [misc]simplify: iters left: 3 (133 enodes) 1540202412.394 * * [misc]simplify: iters left: 2 (351 enodes) 1540202412.529 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202412.529 * [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))))))) 1540202412.530 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202412.530 * * [misc]simplify: iters left: 6 (17 enodes) 1540202412.532 * * [misc]simplify: iters left: 5 (25 enodes) 1540202412.535 * * [misc]simplify: iters left: 4 (43 enodes) 1540202412.542 * * [misc]simplify: iters left: 3 (91 enodes) 1540202412.558 * * [misc]simplify: iters left: 2 (178 enodes) 1540202412.598 * * [misc]simplify: iters left: 1 (319 enodes) 1540202412.698 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540202412.698 * [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))))))) 1540202412.699 * * * * [misc]progress: [ 1726 / 6878 ] simplifiying candidate # 1540202412.699 * [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))))))) 1540202412.699 * * [misc]simplify: iters left: 6 (21 enodes) 1540202412.702 * * [misc]simplify: iters left: 5 (35 enodes) 1540202412.707 * * [misc]simplify: iters left: 4 (68 enodes) 1540202412.719 * * [misc]simplify: iters left: 3 (185 enodes) 1540202412.781 * [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)))))) 1540202412.781 * [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)))))))) 1540202412.781 * [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)))))) 1540202412.782 * * [misc]simplify: iters left: 6 (20 enodes) 1540202412.784 * * [misc]simplify: iters left: 5 (29 enodes) 1540202412.788 * * [misc]simplify: iters left: 4 (48 enodes) 1540202412.795 * * [misc]simplify: iters left: 3 (96 enodes) 1540202412.813 * * [misc]simplify: iters left: 2 (183 enodes) 1540202412.851 * * [misc]simplify: iters left: 1 (325 enodes) 1540202413.256 * [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))))) 1540202413.256 * [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))))))) 1540202413.256 * * * * [misc]progress: [ 1727 / 6878 ] simplifiying candidate # 1540202413.256 * [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)))))) 1540202413.257 * * [misc]simplify: iters left: 6 (20 enodes) 1540202413.259 * * [misc]simplify: iters left: 5 (32 enodes) 1540202413.264 * * [misc]simplify: iters left: 4 (59 enodes) 1540202413.273 * * [misc]simplify: iters left: 3 (140 enodes) 1540202413.307 * * [misc]simplify: iters left: 2 (355 enodes) 1540202413.443 * [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)))))) 1540202413.443 * [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)))))))) 1540202413.443 * [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)))))) 1540202413.443 * * [misc]simplify: iters left: 6 (20 enodes) 1540202413.448 * * [misc]simplify: iters left: 5 (29 enodes) 1540202413.451 * * [misc]simplify: iters left: 4 (48 enodes) 1540202413.458 * * [misc]simplify: iters left: 3 (96 enodes) 1540202413.475 * * [misc]simplify: iters left: 2 (183 enodes) 1540202413.514 * * [misc]simplify: iters left: 1 (325 enodes) 1540202413.618 * [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))))) 1540202413.618 * [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))))))) 1540202413.618 * * * * [misc]progress: [ 1728 / 6878 ] simplifiying candidate # 1540202413.618 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202413.618 * * [misc]simplify: iters left: 6 (16 enodes) 1540202413.621 * * [misc]simplify: iters left: 5 (28 enodes) 1540202413.625 * * [misc]simplify: iters left: 4 (54 enodes) 1540202413.634 * * [misc]simplify: iters left: 3 (103 enodes) 1540202413.655 * * [misc]simplify: iters left: 2 (238 enodes) 1540202413.734 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202413.734 * [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))))))) 1540202413.734 * [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))))) 1540202413.734 * * [misc]simplify: iters left: 6 (19 enodes) 1540202413.738 * * [misc]simplify: iters left: 5 (28 enodes) 1540202413.742 * * [misc]simplify: iters left: 4 (47 enodes) 1540202413.749 * * [misc]simplify: iters left: 3 (95 enodes) 1540202413.766 * * [misc]simplify: iters left: 2 (182 enodes) 1540202413.805 * * [misc]simplify: iters left: 1 (322 enodes) 1540202413.905 * [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)))))) 1540202413.905 * [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)))))))) 1540202413.905 * * * * [misc]progress: [ 1729 / 6878 ] simplifiying candidate # 1540202413.905 * [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))) 1540202413.905 * * [misc]simplify: iters left: 6 (18 enodes) 1540202413.910 * * [misc]simplify: iters left: 5 (31 enodes) 1540202413.914 * * [misc]simplify: iters left: 4 (57 enodes) 1540202413.926 * * [misc]simplify: iters left: 3 (168 enodes) 1540202413.979 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202413.979 * [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))))))) 1540202413.979 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202413.980 * * [misc]simplify: iters left: 6 (16 enodes) 1540202413.982 * * [misc]simplify: iters left: 5 (24 enodes) 1540202413.985 * * [misc]simplify: iters left: 4 (42 enodes) 1540202413.992 * * [misc]simplify: iters left: 3 (90 enodes) 1540202414.008 * * [misc]simplify: iters left: 2 (177 enodes) 1540202414.047 * * [misc]simplify: iters left: 1 (315 enodes) 1540202414.145 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202414.145 * [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)))))) 1540202414.146 * * * * [misc]progress: [ 1730 / 6878 ] simplifiying candidate # 1540202414.146 * [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))) 1540202414.146 * * [misc]simplify: iters left: 6 (18 enodes) 1540202414.149 * * [misc]simplify: iters left: 5 (31 enodes) 1540202414.154 * * [misc]simplify: iters left: 4 (57 enodes) 1540202414.165 * * [misc]simplify: iters left: 3 (168 enodes) 1540202414.218 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202414.218 * [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))))))) 1540202414.218 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202414.218 * * [misc]simplify: iters left: 6 (16 enodes) 1540202414.220 * * [misc]simplify: iters left: 5 (24 enodes) 1540202414.224 * * [misc]simplify: iters left: 4 (42 enodes) 1540202414.230 * * [misc]simplify: iters left: 3 (90 enodes) 1540202414.246 * * [misc]simplify: iters left: 2 (177 enodes) 1540202414.285 * * [misc]simplify: iters left: 1 (315 enodes) 1540202414.383 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202414.383 * [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)))))) 1540202414.383 * * * * [misc]progress: [ 1731 / 6878 ] simplifiying candidate # 1540202414.383 * [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))))))) 1540202414.383 * * [misc]simplify: iters left: 6 (22 enodes) 1540202414.387 * * [misc]simplify: iters left: 5 (38 enodes) 1540202414.392 * * [misc]simplify: iters left: 4 (74 enodes) 1540202414.407 * * [misc]simplify: iters left: 3 (230 enodes) 1540202414.493 * [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)))))) 1540202414.493 * [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)))))))) 1540202414.493 * [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)))))) 1540202414.494 * * [misc]simplify: iters left: 6 (19 enodes) 1540202414.498 * * [misc]simplify: iters left: 5 (28 enodes) 1540202414.502 * * [misc]simplify: iters left: 4 (47 enodes) 1540202414.509 * * [misc]simplify: iters left: 3 (95 enodes) 1540202414.526 * * [misc]simplify: iters left: 2 (182 enodes) 1540202414.565 * * [misc]simplify: iters left: 1 (320 enodes) 1540202414.665 * [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)))))) 1540202414.665 * [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)))))))) 1540202414.666 * * * * [misc]progress: [ 1732 / 6878 ] simplifiying candidate # 1540202414.666 * [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)))))) 1540202414.666 * * [misc]simplify: iters left: 6 (21 enodes) 1540202414.670 * * [misc]simplify: iters left: 5 (35 enodes) 1540202414.675 * * [misc]simplify: iters left: 4 (64 enodes) 1540202414.687 * * [misc]simplify: iters left: 3 (175 enodes) 1540202414.744 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202414.744 * [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)))))))) 1540202414.744 * [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)))))) 1540202414.744 * * [misc]simplify: iters left: 6 (19 enodes) 1540202414.747 * * [misc]simplify: iters left: 5 (28 enodes) 1540202414.750 * * [misc]simplify: iters left: 4 (47 enodes) 1540202414.757 * * [misc]simplify: iters left: 3 (95 enodes) 1540202414.774 * * [misc]simplify: iters left: 2 (182 enodes) 1540202414.813 * * [misc]simplify: iters left: 1 (320 enodes) 1540202414.914 * [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)))))) 1540202414.915 * [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)))))))) 1540202414.915 * * * * [misc]progress: [ 1733 / 6878 ] simplifiying candidate # 1540202414.915 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202414.915 * * [misc]simplify: iters left: 6 (16 enodes) 1540202414.918 * * [misc]simplify: iters left: 5 (28 enodes) 1540202414.921 * * [misc]simplify: iters left: 4 (42 enodes) 1540202414.928 * * [misc]simplify: iters left: 3 (83 enodes) 1540202414.943 * * [misc]simplify: iters left: 2 (176 enodes) 1540202415.004 * * [misc]simplify: iters left: 1 (327 enodes) 1540202415.166 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540202415.167 * [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))))))) 1540202415.167 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202415.167 * * [misc]simplify: iters left: 6 (18 enodes) 1540202415.169 * * [misc]simplify: iters left: 5 (27 enodes) 1540202415.173 * * [misc]simplify: iters left: 4 (46 enodes) 1540202415.180 * * [misc]simplify: iters left: 3 (94 enodes) 1540202415.198 * * [misc]simplify: iters left: 2 (181 enodes) 1540202415.236 * * [misc]simplify: iters left: 1 (322 enodes) 1540202415.336 * [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)))) 1540202415.336 * [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)))))) 1540202415.336 * * * * [misc]progress: [ 1734 / 6878 ] simplifiying candidate # 1540202415.336 * [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))) 1540202415.336 * * [misc]simplify: iters left: 6 (17 enodes) 1540202415.339 * * [misc]simplify: iters left: 5 (28 enodes) 1540202415.344 * * [misc]simplify: iters left: 4 (52 enodes) 1540202415.352 * * [misc]simplify: iters left: 3 (133 enodes) 1540202415.386 * * [misc]simplify: iters left: 2 (351 enodes) 1540202415.521 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202415.521 * [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))))))) 1540202415.521 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202415.521 * * [misc]simplify: iters left: 6 (17 enodes) 1540202415.523 * * [misc]simplify: iters left: 5 (25 enodes) 1540202415.527 * * [misc]simplify: iters left: 4 (43 enodes) 1540202415.533 * * [misc]simplify: iters left: 3 (91 enodes) 1540202415.549 * * [misc]simplify: iters left: 2 (178 enodes) 1540202415.587 * * [misc]simplify: iters left: 1 (319 enodes) 1540202415.684 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540202415.684 * [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))))))) 1540202415.685 * * * * [misc]progress: [ 1735 / 6878 ] simplifiying candidate # 1540202415.685 * [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))) 1540202415.685 * * [misc]simplify: iters left: 6 (17 enodes) 1540202415.689 * * [misc]simplify: iters left: 5 (28 enodes) 1540202415.693 * * [misc]simplify: iters left: 4 (52 enodes) 1540202415.702 * * [misc]simplify: iters left: 3 (133 enodes) 1540202415.735 * * [misc]simplify: iters left: 2 (351 enodes) 1540202415.868 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202415.868 * [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))))))) 1540202415.869 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202415.869 * * [misc]simplify: iters left: 6 (17 enodes) 1540202415.871 * * [misc]simplify: iters left: 5 (25 enodes) 1540202415.874 * * [misc]simplify: iters left: 4 (43 enodes) 1540202415.881 * * [misc]simplify: iters left: 3 (91 enodes) 1540202415.897 * * [misc]simplify: iters left: 2 (178 enodes) 1540202415.936 * * [misc]simplify: iters left: 1 (319 enodes) 1540202416.034 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540202416.034 * [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))))))) 1540202416.034 * * * * [misc]progress: [ 1736 / 6878 ] simplifiying candidate # 1540202416.035 * [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))))))) 1540202416.035 * * [misc]simplify: iters left: 6 (21 enodes) 1540202416.038 * * [misc]simplify: iters left: 5 (35 enodes) 1540202416.043 * * [misc]simplify: iters left: 4 (68 enodes) 1540202416.054 * * [misc]simplify: iters left: 3 (185 enodes) 1540202416.116 * [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)))))) 1540202416.116 * [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)))))))) 1540202416.116 * [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)))))) 1540202416.117 * * [misc]simplify: iters left: 6 (20 enodes) 1540202416.119 * * [misc]simplify: iters left: 5 (29 enodes) 1540202416.123 * * [misc]simplify: iters left: 4 (48 enodes) 1540202416.130 * * [misc]simplify: iters left: 3 (96 enodes) 1540202416.148 * * [misc]simplify: iters left: 2 (183 enodes) 1540202416.186 * * [misc]simplify: iters left: 1 (325 enodes) 1540202416.288 * [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))))) 1540202416.288 * [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))))))) 1540202416.288 * * * * [misc]progress: [ 1737 / 6878 ] simplifiying candidate # 1540202416.289 * [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)))))) 1540202416.289 * * [misc]simplify: iters left: 6 (20 enodes) 1540202416.291 * * [misc]simplify: iters left: 5 (32 enodes) 1540202416.296 * * [misc]simplify: iters left: 4 (59 enodes) 1540202416.305 * * [misc]simplify: iters left: 3 (140 enodes) 1540202416.338 * * [misc]simplify: iters left: 2 (355 enodes) 1540202416.474 * [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)))))) 1540202416.474 * [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)))))))) 1540202416.474 * [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)))))) 1540202416.475 * * [misc]simplify: iters left: 6 (20 enodes) 1540202416.477 * * [misc]simplify: iters left: 5 (29 enodes) 1540202416.481 * * [misc]simplify: iters left: 4 (48 enodes) 1540202416.488 * * [misc]simplify: iters left: 3 (96 enodes) 1540202416.505 * * [misc]simplify: iters left: 2 (183 enodes) 1540202416.543 * * [misc]simplify: iters left: 1 (325 enodes) 1540202416.645 * [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))))) 1540202416.645 * [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))))))) 1540202416.646 * * * * [misc]progress: [ 1738 / 6878 ] simplifiying candidate # 1540202416.646 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202416.646 * * [misc]simplify: iters left: 6 (16 enodes) 1540202416.648 * * [misc]simplify: iters left: 5 (28 enodes) 1540202416.652 * * [misc]simplify: iters left: 4 (54 enodes) 1540202416.661 * * [misc]simplify: iters left: 3 (103 enodes) 1540202416.681 * * [misc]simplify: iters left: 2 (238 enodes) 1540202416.759 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202416.759 * [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))))))) 1540202416.760 * [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))))) 1540202416.760 * * [misc]simplify: iters left: 6 (19 enodes) 1540202416.762 * * [misc]simplify: iters left: 5 (28 enodes) 1540202416.766 * * [misc]simplify: iters left: 4 (47 enodes) 1540202416.773 * * [misc]simplify: iters left: 3 (95 enodes) 1540202416.790 * * [misc]simplify: iters left: 2 (182 enodes) 1540202416.828 * * [misc]simplify: iters left: 1 (322 enodes) 1540202416.927 * [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)))))) 1540202416.927 * [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))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540202416.927 * * * * [misc]progress: [ 1739 / 6878 ] simplifiying candidate # 1540202416.927 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202416.927 * * [misc]simplify: iters left: 6 (17 enodes) 1540202416.931 * * [misc]simplify: iters left: 5 (30 enodes) 1540202416.935 * * [misc]simplify: iters left: 4 (52 enodes) 1540202416.944 * * [misc]simplify: iters left: 3 (134 enodes) 1540202416.976 * * [misc]simplify: iters left: 2 (407 enodes) 1540202417.200 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202417.200 * [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))))))) 1540202417.200 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202417.200 * * [misc]simplify: iters left: 6 (16 enodes) 1540202417.204 * * [misc]simplify: iters left: 5 (24 enodes) 1540202417.208 * * [misc]simplify: iters left: 4 (42 enodes) 1540202417.214 * * [misc]simplify: iters left: 3 (90 enodes) 1540202417.230 * * [misc]simplify: iters left: 2 (177 enodes) 1540202417.268 * * [misc]simplify: iters left: 1 (315 enodes) 1540202417.364 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202417.364 * [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)))))) 1540202417.364 * * * * [misc]progress: [ 1740 / 6878 ] simplifiying candidate # 1540202417.364 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202417.364 * * [misc]simplify: iters left: 6 (17 enodes) 1540202417.367 * * [misc]simplify: iters left: 5 (30 enodes) 1540202417.372 * * [misc]simplify: iters left: 4 (52 enodes) 1540202417.382 * * [misc]simplify: iters left: 3 (134 enodes) 1540202417.414 * * [misc]simplify: iters left: 2 (407 enodes) 1540202417.639 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202417.639 * [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))))))) 1540202417.639 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202417.639 * * [misc]simplify: iters left: 6 (16 enodes) 1540202417.642 * * [misc]simplify: iters left: 5 (24 enodes) 1540202417.645 * * [misc]simplify: iters left: 4 (42 enodes) 1540202417.654 * * [misc]simplify: iters left: 3 (90 enodes) 1540202417.670 * * [misc]simplify: iters left: 2 (177 enodes) 1540202417.707 * * [misc]simplify: iters left: 1 (315 enodes) 1540202417.804 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202417.804 * [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)))))) 1540202417.804 * * * * [misc]progress: [ 1741 / 6878 ] simplifiying candidate # 1540202417.804 * [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))))))) 1540202417.804 * * [misc]simplify: iters left: 6 (21 enodes) 1540202417.807 * * [misc]simplify: iters left: 5 (37 enodes) 1540202417.812 * * [misc]simplify: iters left: 4 (68 enodes) 1540202417.827 * * [misc]simplify: iters left: 3 (192 enodes) 1540202417.890 * [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)))))) 1540202417.890 * [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)))))))) 1540202417.890 * [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)))))) 1540202417.891 * * [misc]simplify: iters left: 6 (19 enodes) 1540202417.893 * * [misc]simplify: iters left: 5 (28 enodes) 1540202417.897 * * [misc]simplify: iters left: 4 (47 enodes) 1540202417.904 * * [misc]simplify: iters left: 3 (95 enodes) 1540202417.921 * * [misc]simplify: iters left: 2 (182 enodes) 1540202417.959 * * [misc]simplify: iters left: 1 (320 enodes) 1540202418.059 * [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)))))) 1540202418.060 * [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)))))))) 1540202418.060 * * * * [misc]progress: [ 1742 / 6878 ] simplifiying candidate # 1540202418.060 * [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)))))) 1540202418.060 * * [misc]simplify: iters left: 6 (20 enodes) 1540202418.063 * * [misc]simplify: iters left: 5 (34 enodes) 1540202418.067 * * [misc]simplify: iters left: 4 (59 enodes) 1540202418.077 * * [misc]simplify: iters left: 3 (141 enodes) 1540202418.109 * * [misc]simplify: iters left: 2 (417 enodes) 1540202418.330 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540202418.330 * [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)))))))) 1540202418.331 * [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)))))) 1540202418.331 * * [misc]simplify: iters left: 6 (19 enodes) 1540202418.335 * * [misc]simplify: iters left: 5 (28 enodes) 1540202418.339 * * [misc]simplify: iters left: 4 (47 enodes) 1540202418.346 * * [misc]simplify: iters left: 3 (95 enodes) 1540202418.362 * * [misc]simplify: iters left: 2 (182 enodes) 1540202418.401 * * [misc]simplify: iters left: 1 (320 enodes) 1540202418.500 * [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)))))) 1540202418.500 * [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)))))))) 1540202418.501 * * * * [misc]progress: [ 1743 / 6878 ] simplifiying candidate # 1540202418.501 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540202418.501 * * [misc]simplify: iters left: 6 (15 enodes) 1540202418.503 * * [misc]simplify: iters left: 5 (25 enodes) 1540202418.506 * * [misc]simplify: iters left: 4 (39 enodes) 1540202418.512 * * [misc]simplify: iters left: 3 (75 enodes) 1540202418.525 * * [misc]simplify: iters left: 2 (152 enodes) 1540202418.554 * * [misc]simplify: iters left: 1 (207 enodes) 1540202418.579 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202418.579 * [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))))))) 1540202418.580 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202418.580 * * [misc]simplify: iters left: 6 (18 enodes) 1540202418.582 * * [misc]simplify: iters left: 5 (27 enodes) 1540202418.586 * * [misc]simplify: iters left: 4 (46 enodes) 1540202418.593 * * [misc]simplify: iters left: 3 (94 enodes) 1540202418.609 * * [misc]simplify: iters left: 2 (181 enodes) 1540202418.648 * * [misc]simplify: iters left: 1 (322 enodes) 1540202418.748 * [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)))) 1540202418.748 * [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)))))) 1540202418.749 * * * * [misc]progress: [ 1744 / 6878 ] simplifiying candidate # 1540202418.749 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1) 1540202418.749 * * [misc]simplify: iters left: 6 (14 enodes) 1540202418.751 * * [misc]simplify: iters left: 5 (24 enodes) 1540202418.754 * * [misc]simplify: iters left: 4 (41 enodes) 1540202418.761 * * [misc]simplify: iters left: 3 (87 enodes) 1540202418.776 * * [misc]simplify: iters left: 2 (174 enodes) 1540202418.819 * * [misc]simplify: iters left: 1 (237 enodes) 1540202418.848 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202418.848 * [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))))))) 1540202418.848 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202418.848 * * [misc]simplify: iters left: 6 (18 enodes) 1540202418.851 * * [misc]simplify: iters left: 5 (27 enodes) 1540202418.855 * * [misc]simplify: iters left: 4 (46 enodes) 1540202418.862 * * [misc]simplify: iters left: 3 (94 enodes) 1540202418.879 * * [misc]simplify: iters left: 2 (181 enodes) 1540202418.917 * * [misc]simplify: iters left: 1 (322 enodes) 1540202419.017 * [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)))) 1540202419.017 * [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)))))) 1540202419.017 * * * * [misc]progress: [ 1745 / 6878 ] simplifiying candidate # 1540202419.017 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540202419.017 * * [misc]simplify: iters left: 6 (13 enodes) 1540202419.019 * * [misc]simplify: iters left: 5 (21 enodes) 1540202419.022 * * [misc]simplify: iters left: 4 (37 enodes) 1540202419.028 * * [misc]simplify: iters left: 3 (80 enodes) 1540202419.041 * * [misc]simplify: iters left: 2 (138 enodes) 1540202419.066 * * [misc]simplify: iters left: 1 (186 enodes) 1540202419.097 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202419.097 * [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))))))) 1540202419.097 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202419.097 * * [misc]simplify: iters left: 6 (19 enodes) 1540202419.100 * * [misc]simplify: iters left: 5 (30 enodes) 1540202419.104 * * [misc]simplify: iters left: 4 (47 enodes) 1540202419.111 * * [misc]simplify: iters left: 3 (99 enodes) 1540202419.128 * * [misc]simplify: iters left: 2 (206 enodes) 1540202419.188 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202419.188 * [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)))))) 1540202419.188 * * * * [misc]progress: [ 1746 / 6878 ] simplifiying candidate # 1540202419.188 * [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))) 1540202419.188 * * [misc]simplify: iters left: 6 (16 enodes) 1540202419.191 * * [misc]simplify: iters left: 5 (27 enodes) 1540202419.195 * * [misc]simplify: iters left: 4 (51 enodes) 1540202419.204 * * [misc]simplify: iters left: 3 (132 enodes) 1540202419.238 * * [misc]simplify: iters left: 2 (349 enodes) 1540202419.375 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540202419.375 * [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))))) 1540202419.375 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202419.375 * * [misc]simplify: iters left: 6 (15 enodes) 1540202419.377 * * [misc]simplify: iters left: 5 (21 enodes) 1540202419.380 * * [misc]simplify: iters left: 4 (31 enodes) 1540202419.384 * * [misc]simplify: iters left: 3 (46 enodes) 1540202419.390 * * [misc]simplify: iters left: 2 (63 enodes) 1540202419.398 * * [misc]simplify: iters left: 1 (80 enodes) 1540202419.409 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202419.409 * [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)))))) 1540202419.409 * * * * [misc]progress: [ 1747 / 6878 ] simplifiying candidate # 1540202419.409 * [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))))))) 1540202419.409 * * [misc]simplify: iters left: 6 (20 enodes) 1540202419.412 * * [misc]simplify: iters left: 5 (32 enodes) 1540202419.416 * * [misc]simplify: iters left: 4 (59 enodes) 1540202419.425 * * [misc]simplify: iters left: 3 (128 enodes) 1540202419.451 * * [misc]simplify: iters left: 2 (266 enodes) 1540202419.521 * * [misc]simplify: iters left: 1 (457 enodes) 1540202419.669 * [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))))))) 1540202419.669 * [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)))))))) 1540202419.669 * [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)))))) 1540202419.669 * * [misc]simplify: iters left: 6 (19 enodes) 1540202419.671 * * [misc]simplify: iters left: 5 (26 enodes) 1540202419.675 * * [misc]simplify: iters left: 4 (37 enodes) 1540202419.680 * * [misc]simplify: iters left: 3 (52 enodes) 1540202419.686 * * [misc]simplify: iters left: 2 (69 enodes) 1540202419.695 * * [misc]simplify: iters left: 1 (86 enodes) 1540202419.706 * [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)))))) 1540202419.706 * [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)))))))) 1540202419.706 * * * * [misc]progress: [ 1748 / 6878 ] simplifiying candidate # 1540202419.706 * [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)))))) 1540202419.706 * * [misc]simplify: iters left: 6 (19 enodes) 1540202419.709 * * [misc]simplify: iters left: 5 (29 enodes) 1540202419.714 * * [misc]simplify: iters left: 4 (48 enodes) 1540202419.721 * * [misc]simplify: iters left: 3 (91 enodes) 1540202419.735 * * [misc]simplify: iters left: 2 (149 enodes) 1540202419.761 * * [misc]simplify: iters left: 1 (195 enodes) 1540202419.793 * [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)))))) 1540202419.793 * [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)))))))) 1540202419.794 * [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)))))) 1540202419.794 * * [misc]simplify: iters left: 6 (19 enodes) 1540202419.796 * * [misc]simplify: iters left: 5 (26 enodes) 1540202419.800 * * [misc]simplify: iters left: 4 (37 enodes) 1540202419.804 * * [misc]simplify: iters left: 3 (52 enodes) 1540202419.811 * * [misc]simplify: iters left: 2 (69 enodes) 1540202419.820 * * [misc]simplify: iters left: 1 (86 enodes) 1540202419.831 * [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)))))) 1540202419.831 * [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)))))))) 1540202419.831 * * * * [misc]progress: [ 1749 / 6878 ] simplifiying candidate # 1540202419.831 * [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))) 1540202419.831 * * [misc]simplify: iters left: 6 (16 enodes) 1540202419.834 * * [misc]simplify: iters left: 5 (29 enodes) 1540202419.840 * * [misc]simplify: iters left: 4 (61 enodes) 1540202419.852 * * [misc]simplify: iters left: 3 (196 enodes) 1540202419.923 * [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)))))) 1540202419.923 * [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))))))) 1540202419.923 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202419.923 * * [misc]simplify: iters left: 6 (16 enodes) 1540202419.926 * * [misc]simplify: iters left: 5 (24 enodes) 1540202419.929 * * [misc]simplify: iters left: 4 (41 enodes) 1540202419.935 * * [misc]simplify: iters left: 3 (86 enodes) 1540202419.950 * * [misc]simplify: iters left: 2 (151 enodes) 1540202419.981 * * [misc]simplify: iters left: 1 (233 enodes) 1540202420.034 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540202420.034 * [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))))))) 1540202420.035 * * * * [misc]progress: [ 1750 / 6878 ] simplifiying candidate # 1540202420.035 * [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))) 1540202420.035 * * [misc]simplify: iters left: 6 (16 enodes) 1540202420.038 * * [misc]simplify: iters left: 5 (29 enodes) 1540202420.042 * * [misc]simplify: iters left: 4 (61 enodes) 1540202420.055 * * [misc]simplify: iters left: 3 (196 enodes) 1540202420.126 * [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)))))) 1540202420.126 * [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))))))) 1540202420.126 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202420.126 * * [misc]simplify: iters left: 6 (16 enodes) 1540202420.128 * * [misc]simplify: iters left: 5 (24 enodes) 1540202420.131 * * [misc]simplify: iters left: 4 (41 enodes) 1540202420.139 * * [misc]simplify: iters left: 3 (86 enodes) 1540202420.154 * * [misc]simplify: iters left: 2 (151 enodes) 1540202420.184 * * [misc]simplify: iters left: 1 (233 enodes) 1540202420.237 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540202420.237 * [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))))))) 1540202420.237 * * * * [misc]progress: [ 1751 / 6878 ] simplifiying candidate # 1540202420.238 * [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))))))) 1540202420.238 * * [misc]simplify: iters left: 6 (20 enodes) 1540202420.241 * * [misc]simplify: iters left: 5 (38 enodes) 1540202420.246 * * [misc]simplify: iters left: 4 (93 enodes) 1540202420.268 * * [misc]simplify: iters left: 3 (308 enodes) 1540202420.410 * [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))) 1540202420.410 * [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)))))))) 1540202420.410 * [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)))))) 1540202420.410 * * [misc]simplify: iters left: 6 (19 enodes) 1540202420.413 * * [misc]simplify: iters left: 5 (28 enodes) 1540202420.417 * * [misc]simplify: iters left: 4 (46 enodes) 1540202420.423 * * [misc]simplify: iters left: 3 (91 enodes) 1540202420.440 * * [misc]simplify: iters left: 2 (156 enodes) 1540202420.471 * * [misc]simplify: iters left: 1 (235 enodes) 1540202420.523 * [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)))))) 1540202420.523 * [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)))))))) 1540202420.523 * * * * [misc]progress: [ 1752 / 6878 ] simplifiying candidate # 1540202420.523 * [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)))))) 1540202420.523 * * [misc]simplify: iters left: 6 (19 enodes) 1540202420.526 * * [misc]simplify: iters left: 5 (33 enodes) 1540202420.530 * * [misc]simplify: iters left: 4 (68 enodes) 1540202420.543 * * [misc]simplify: iters left: 3 (203 enodes) 1540202420.617 * [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)))))) 1540202420.617 * [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)))))))) 1540202420.617 * [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)))))) 1540202420.617 * * [misc]simplify: iters left: 6 (19 enodes) 1540202420.620 * * [misc]simplify: iters left: 5 (28 enodes) 1540202420.624 * * [misc]simplify: iters left: 4 (46 enodes) 1540202420.630 * * [misc]simplify: iters left: 3 (91 enodes) 1540202420.646 * * [misc]simplify: iters left: 2 (156 enodes) 1540202420.677 * * [misc]simplify: iters left: 1 (235 enodes) 1540202420.728 * [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)))))) 1540202420.729 * [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)))))))) 1540202420.729 * * * * [misc]progress: [ 1753 / 6878 ] simplifiying candidate # 1540202420.729 * [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)) 1540202420.729 * * [misc]simplify: iters left: 6 (15 enodes) 1540202420.731 * * [misc]simplify: iters left: 5 (29 enodes) 1540202420.736 * * [misc]simplify: iters left: 4 (65 enodes) 1540202420.749 * * [misc]simplify: iters left: 3 (189 enodes) 1540202420.847 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) 1540202420.847 * [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))))))) 1540202420.847 * [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))))) 1540202420.847 * * [misc]simplify: iters left: 6 (18 enodes) 1540202420.850 * * [misc]simplify: iters left: 5 (27 enodes) 1540202420.853 * * [misc]simplify: iters left: 4 (45 enodes) 1540202420.860 * * [misc]simplify: iters left: 3 (90 enodes) 1540202420.875 * * [misc]simplify: iters left: 2 (155 enodes) 1540202420.906 * * [misc]simplify: iters left: 1 (238 enodes) 1540202420.959 * [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)))))) 1540202420.959 * [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)))))))) 1540202420.959 * * * * [misc]progress: [ 1754 / 6878 ] simplifiying candidate # 1540202420.959 * [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))) 1540202420.960 * * [misc]simplify: iters left: 6 (19 enodes) 1540202420.963 * * [misc]simplify: iters left: 5 (31 enodes) 1540202420.968 * * [misc]simplify: iters left: 4 (55 enodes) 1540202420.978 * * [misc]simplify: iters left: 3 (136 enodes) 1540202421.010 * * [misc]simplify: iters left: 2 (352 enodes) 1540202421.147 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202421.147 * [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))))))) 1540202421.147 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202421.147 * * [misc]simplify: iters left: 6 (18 enodes) 1540202421.150 * * [misc]simplify: iters left: 5 (26 enodes) 1540202421.153 * * [misc]simplify: iters left: 4 (44 enodes) 1540202421.160 * * [misc]simplify: iters left: 3 (92 enodes) 1540202421.176 * * [misc]simplify: iters left: 2 (179 enodes) 1540202421.215 * * [misc]simplify: iters left: 1 (315 enodes) 1540202421.313 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202421.313 * [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))))) 1540202421.313 * * * * [misc]progress: [ 1755 / 6878 ] simplifiying candidate # 1540202421.313 * [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))) 1540202421.313 * * [misc]simplify: iters left: 6 (19 enodes) 1540202421.317 * * [misc]simplify: iters left: 5 (31 enodes) 1540202421.321 * * [misc]simplify: iters left: 4 (55 enodes) 1540202421.330 * * [misc]simplify: iters left: 3 (136 enodes) 1540202421.365 * * [misc]simplify: iters left: 2 (352 enodes) 1540202421.500 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202421.500 * [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))))))) 1540202421.500 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202421.500 * * [misc]simplify: iters left: 6 (18 enodes) 1540202421.503 * * [misc]simplify: iters left: 5 (26 enodes) 1540202421.506 * * [misc]simplify: iters left: 4 (44 enodes) 1540202421.513 * * [misc]simplify: iters left: 3 (92 enodes) 1540202421.531 * * [misc]simplify: iters left: 2 (179 enodes) 1540202421.568 * * [misc]simplify: iters left: 1 (315 enodes) 1540202421.665 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202421.665 * [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))))) 1540202421.665 * * * * [misc]progress: [ 1756 / 6878 ] simplifiying candidate # 1540202421.665 * [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))))))) 1540202421.666 * * [misc]simplify: iters left: 6 (23 enodes) 1540202421.669 * * [misc]simplify: iters left: 5 (38 enodes) 1540202421.674 * * [misc]simplify: iters left: 4 (71 enodes) 1540202421.687 * * [misc]simplify: iters left: 3 (188 enodes) 1540202421.749 * [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)))))) 1540202421.749 * [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)))))))) 1540202421.750 * [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)))))) 1540202421.750 * * [misc]simplify: iters left: 6 (21 enodes) 1540202421.753 * * [misc]simplify: iters left: 5 (30 enodes) 1540202421.757 * * [misc]simplify: iters left: 4 (49 enodes) 1540202421.764 * * [misc]simplify: iters left: 3 (97 enodes) 1540202421.781 * * [misc]simplify: iters left: 2 (184 enodes) 1540202421.819 * * [misc]simplify: iters left: 1 (320 enodes) 1540202421.916 * [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)))))) 1540202421.916 * [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)))))))) 1540202421.916 * * * * [misc]progress: [ 1757 / 6878 ] simplifiying candidate # 1540202421.916 * [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)))))) 1540202421.916 * * [misc]simplify: iters left: 6 (22 enodes) 1540202421.919 * * [misc]simplify: iters left: 5 (35 enodes) 1540202421.924 * * [misc]simplify: iters left: 4 (62 enodes) 1540202421.934 * * [misc]simplify: iters left: 3 (143 enodes) 1540202421.967 * * [misc]simplify: iters left: 2 (359 enodes) 1540202422.104 * [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))))) 1540202422.104 * [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)))))))) 1540202422.104 * [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)))))) 1540202422.104 * * [misc]simplify: iters left: 6 (21 enodes) 1540202422.107 * * [misc]simplify: iters left: 5 (30 enodes) 1540202422.111 * * [misc]simplify: iters left: 4 (49 enodes) 1540202422.118 * * [misc]simplify: iters left: 3 (97 enodes) 1540202422.135 * * [misc]simplify: iters left: 2 (184 enodes) 1540202422.174 * * [misc]simplify: iters left: 1 (320 enodes) 1540202422.272 * [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)))))) 1540202422.272 * [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)))))))) 1540202422.272 * * * * [misc]progress: [ 1758 / 6878 ] simplifiying candidate # 1540202422.272 * [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)) 1540202422.272 * * [misc]simplify: iters left: 6 (18 enodes) 1540202422.275 * * [misc]simplify: iters left: 5 (30 enodes) 1540202422.279 * * [misc]simplify: iters left: 4 (51 enodes) 1540202422.288 * * [misc]simplify: iters left: 3 (114 enodes) 1540202422.319 * * [misc]simplify: iters left: 2 (299 enodes) 1540202422.447 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202422.447 * [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))))))) 1540202422.447 * [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))))) 1540202422.447 * * [misc]simplify: iters left: 6 (20 enodes) 1540202422.450 * * [misc]simplify: iters left: 5 (29 enodes) 1540202422.454 * * [misc]simplify: iters left: 4 (48 enodes) 1540202422.461 * * [misc]simplify: iters left: 3 (96 enodes) 1540202422.478 * * [misc]simplify: iters left: 2 (183 enodes) 1540202422.517 * * [misc]simplify: iters left: 1 (325 enodes) 1540202422.618 * [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))))) 1540202422.618 * [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))))))) 1540202422.618 * * * * [misc]progress: [ 1759 / 6878 ] simplifiying candidate # 1540202422.619 * [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))) 1540202422.619 * * [misc]simplify: iters left: 6 (17 enodes) 1540202422.622 * * [misc]simplify: iters left: 5 (28 enodes) 1540202422.626 * * [misc]simplify: iters left: 4 (52 enodes) 1540202422.635 * * [misc]simplify: iters left: 3 (133 enodes) 1540202422.669 * * [misc]simplify: iters left: 2 (351 enodes) 1540202422.802 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202422.802 * [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))))))) 1540202422.802 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202422.802 * * [misc]simplify: iters left: 6 (17 enodes) 1540202422.804 * * [misc]simplify: iters left: 5 (25 enodes) 1540202422.808 * * [misc]simplify: iters left: 4 (43 enodes) 1540202422.816 * * [misc]simplify: iters left: 3 (91 enodes) 1540202422.832 * * [misc]simplify: iters left: 2 (178 enodes) 1540202422.869 * * [misc]simplify: iters left: 1 (319 enodes) 1540202422.967 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540202422.967 * [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))))))) 1540202422.967 * * * * [misc]progress: [ 1760 / 6878 ] simplifiying candidate # 1540202422.968 * [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))) 1540202422.968 * * [misc]simplify: iters left: 6 (17 enodes) 1540202422.971 * * [misc]simplify: iters left: 5 (28 enodes) 1540202422.975 * * [misc]simplify: iters left: 4 (52 enodes) 1540202422.985 * * [misc]simplify: iters left: 3 (133 enodes) 1540202423.018 * * [misc]simplify: iters left: 2 (351 enodes) 1540202423.152 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202423.152 * [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))))))) 1540202423.152 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202423.153 * * [misc]simplify: iters left: 6 (17 enodes) 1540202423.155 * * [misc]simplify: iters left: 5 (25 enodes) 1540202423.158 * * [misc]simplify: iters left: 4 (43 enodes) 1540202423.165 * * [misc]simplify: iters left: 3 (91 enodes) 1540202423.181 * * [misc]simplify: iters left: 2 (178 enodes) 1540202423.219 * * [misc]simplify: iters left: 1 (319 enodes) 1540202423.317 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540202423.317 * [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))))))) 1540202423.317 * * * * [misc]progress: [ 1761 / 6878 ] simplifiying candidate # 1540202423.318 * [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))))))) 1540202423.318 * * [misc]simplify: iters left: 6 (21 enodes) 1540202423.321 * * [misc]simplify: iters left: 5 (35 enodes) 1540202423.326 * * [misc]simplify: iters left: 4 (68 enodes) 1540202423.338 * * [misc]simplify: iters left: 3 (185 enodes) 1540202423.399 * [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)))))) 1540202423.399 * [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)))))))) 1540202423.399 * [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)))))) 1540202423.399 * * [misc]simplify: iters left: 6 (20 enodes) 1540202423.402 * * [misc]simplify: iters left: 5 (29 enodes) 1540202423.406 * * [misc]simplify: iters left: 4 (48 enodes) 1540202423.413 * * [misc]simplify: iters left: 3 (96 enodes) 1540202423.430 * * [misc]simplify: iters left: 2 (183 enodes) 1540202423.468 * * [misc]simplify: iters left: 1 (325 enodes) 1540202423.571 * [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))))) 1540202423.571 * [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))))))) 1540202423.571 * * * * [misc]progress: [ 1762 / 6878 ] simplifiying candidate # 1540202423.571 * [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)))))) 1540202423.572 * * [misc]simplify: iters left: 6 (20 enodes) 1540202423.574 * * [misc]simplify: iters left: 5 (32 enodes) 1540202423.579 * * [misc]simplify: iters left: 4 (59 enodes) 1540202423.588 * * [misc]simplify: iters left: 3 (140 enodes) 1540202423.622 * * [misc]simplify: iters left: 2 (355 enodes) 1540202423.756 * [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)))))) 1540202423.756 * [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)))))))) 1540202423.757 * [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)))))) 1540202423.757 * * [misc]simplify: iters left: 6 (20 enodes) 1540202423.759 * * [misc]simplify: iters left: 5 (29 enodes) 1540202423.763 * * [misc]simplify: iters left: 4 (48 enodes) 1540202423.772 * * [misc]simplify: iters left: 3 (96 enodes) 1540202423.788 * * [misc]simplify: iters left: 2 (183 enodes) 1540202423.826 * * [misc]simplify: iters left: 1 (325 enodes) 1540202423.928 * [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))))) 1540202423.928 * [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))))))) 1540202423.928 * * * * [misc]progress: [ 1763 / 6878 ] simplifiying candidate # 1540202423.929 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202423.929 * * [misc]simplify: iters left: 6 (16 enodes) 1540202423.931 * * [misc]simplify: iters left: 5 (28 enodes) 1540202423.935 * * [misc]simplify: iters left: 4 (54 enodes) 1540202423.945 * * [misc]simplify: iters left: 3 (103 enodes) 1540202423.965 * * [misc]simplify: iters left: 2 (238 enodes) 1540202424.043 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202424.043 * [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))))))) 1540202424.043 * [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))))) 1540202424.043 * * [misc]simplify: iters left: 6 (19 enodes) 1540202424.046 * * [misc]simplify: iters left: 5 (28 enodes) 1540202424.049 * * [misc]simplify: iters left: 4 (47 enodes) 1540202424.057 * * [misc]simplify: iters left: 3 (95 enodes) 1540202424.074 * * [misc]simplify: iters left: 2 (182 enodes) 1540202424.112 * * [misc]simplify: iters left: 1 (322 enodes) 1540202424.211 * [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)))))) 1540202424.211 * [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)))))))) 1540202424.211 * * * * [misc]progress: [ 1764 / 6878 ] simplifiying candidate # 1540202424.211 * [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))) 1540202424.211 * * [misc]simplify: iters left: 6 (18 enodes) 1540202424.214 * * [misc]simplify: iters left: 5 (31 enodes) 1540202424.219 * * [misc]simplify: iters left: 4 (57 enodes) 1540202424.232 * * [misc]simplify: iters left: 3 (168 enodes) 1540202424.283 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202424.283 * [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))))))) 1540202424.283 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202424.283 * * [misc]simplify: iters left: 6 (16 enodes) 1540202424.287 * * [misc]simplify: iters left: 5 (24 enodes) 1540202424.290 * * [misc]simplify: iters left: 4 (42 enodes) 1540202424.297 * * [misc]simplify: iters left: 3 (90 enodes) 1540202424.313 * * [misc]simplify: iters left: 2 (177 enodes) 1540202424.351 * * [misc]simplify: iters left: 1 (315 enodes) 1540202424.446 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202424.447 * [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)))))) 1540202424.447 * * * * [misc]progress: [ 1765 / 6878 ] simplifiying candidate # 1540202424.447 * [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))) 1540202424.447 * * [misc]simplify: iters left: 6 (18 enodes) 1540202424.450 * * [misc]simplify: iters left: 5 (31 enodes) 1540202424.455 * * [misc]simplify: iters left: 4 (57 enodes) 1540202424.467 * * [misc]simplify: iters left: 3 (168 enodes) 1540202424.520 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202424.520 * [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))))))) 1540202424.520 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202424.520 * * [misc]simplify: iters left: 6 (16 enodes) 1540202424.522 * * [misc]simplify: iters left: 5 (24 enodes) 1540202424.525 * * [misc]simplify: iters left: 4 (42 enodes) 1540202424.532 * * [misc]simplify: iters left: 3 (90 enodes) 1540202424.548 * * [misc]simplify: iters left: 2 (177 enodes) 1540202424.586 * * [misc]simplify: iters left: 1 (315 enodes) 1540202424.682 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202424.682 * [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)))))) 1540202424.682 * * * * [misc]progress: [ 1766 / 6878 ] simplifiying candidate # 1540202424.682 * [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))))))) 1540202424.682 * * [misc]simplify: iters left: 6 (22 enodes) 1540202424.687 * * [misc]simplify: iters left: 5 (38 enodes) 1540202424.692 * * [misc]simplify: iters left: 4 (74 enodes) 1540202424.707 * * [misc]simplify: iters left: 3 (230 enodes) 1540202424.791 * [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)))))) 1540202424.791 * [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)))))))) 1540202424.791 * [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)))))) 1540202424.792 * * [misc]simplify: iters left: 6 (19 enodes) 1540202424.794 * * [misc]simplify: iters left: 5 (28 enodes) 1540202424.798 * * [misc]simplify: iters left: 4 (47 enodes) 1540202424.806 * * [misc]simplify: iters left: 3 (95 enodes) 1540202424.823 * * [misc]simplify: iters left: 2 (182 enodes) 1540202424.861 * * [misc]simplify: iters left: 1 (320 enodes) 1540202424.961 * [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)))))) 1540202424.961 * [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)))))))) 1540202424.961 * * * * [misc]progress: [ 1767 / 6878 ] simplifiying candidate # 1540202424.961 * [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)))))) 1540202424.961 * * [misc]simplify: iters left: 6 (21 enodes) 1540202424.964 * * [misc]simplify: iters left: 5 (35 enodes) 1540202424.969 * * [misc]simplify: iters left: 4 (64 enodes) 1540202424.982 * * [misc]simplify: iters left: 3 (175 enodes) 1540202425.038 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202425.038 * [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)))))))) 1540202425.038 * [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)))))) 1540202425.038 * * [misc]simplify: iters left: 6 (19 enodes) 1540202425.041 * * [misc]simplify: iters left: 5 (28 enodes) 1540202425.045 * * [misc]simplify: iters left: 4 (47 enodes) 1540202425.052 * * [misc]simplify: iters left: 3 (95 enodes) 1540202425.069 * * [misc]simplify: iters left: 2 (182 enodes) 1540202425.107 * * [misc]simplify: iters left: 1 (320 enodes) 1540202425.207 * [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)))))) 1540202425.207 * [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)))))))) 1540202425.207 * * * * [misc]progress: [ 1768 / 6878 ] simplifiying candidate # 1540202425.208 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202425.208 * * [misc]simplify: iters left: 6 (16 enodes) 1540202425.211 * * [misc]simplify: iters left: 5 (28 enodes) 1540202425.214 * * [misc]simplify: iters left: 4 (42 enodes) 1540202425.221 * * [misc]simplify: iters left: 3 (83 enodes) 1540202425.236 * * [misc]simplify: iters left: 2 (176 enodes) 1540202425.295 * * [misc]simplify: iters left: 1 (327 enodes) 1540202425.458 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540202425.458 * [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))))))) 1540202425.458 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202425.458 * * [misc]simplify: iters left: 6 (18 enodes) 1540202425.460 * * [misc]simplify: iters left: 5 (27 enodes) 1540202425.464 * * [misc]simplify: iters left: 4 (46 enodes) 1540202425.471 * * [misc]simplify: iters left: 3 (94 enodes) 1540202425.487 * * [misc]simplify: iters left: 2 (181 enodes) 1540202425.526 * * [misc]simplify: iters left: 1 (322 enodes) 1540202425.627 * [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)))) 1540202425.627 * [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)))))) 1540202425.627 * * * * [misc]progress: [ 1769 / 6878 ] simplifiying candidate # 1540202425.627 * [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))) 1540202425.627 * * [misc]simplify: iters left: 6 (17 enodes) 1540202425.630 * * [misc]simplify: iters left: 5 (28 enodes) 1540202425.634 * * [misc]simplify: iters left: 4 (52 enodes) 1540202425.643 * * [misc]simplify: iters left: 3 (133 enodes) 1540202425.677 * * [misc]simplify: iters left: 2 (351 enodes) 1540202425.811 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202425.811 * [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))))))) 1540202425.811 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202425.811 * * [misc]simplify: iters left: 6 (17 enodes) 1540202425.813 * * [misc]simplify: iters left: 5 (25 enodes) 1540202425.817 * * [misc]simplify: iters left: 4 (43 enodes) 1540202425.825 * * [misc]simplify: iters left: 3 (91 enodes) 1540202425.841 * * [misc]simplify: iters left: 2 (178 enodes) 1540202425.878 * * [misc]simplify: iters left: 1 (319 enodes) 1540202425.976 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540202425.976 * [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))))))) 1540202425.976 * * * * [misc]progress: [ 1770 / 6878 ] simplifiying candidate # 1540202425.976 * [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))) 1540202425.976 * * [misc]simplify: iters left: 6 (17 enodes) 1540202425.979 * * [misc]simplify: iters left: 5 (28 enodes) 1540202425.983 * * [misc]simplify: iters left: 4 (52 enodes) 1540202425.994 * * [misc]simplify: iters left: 3 (133 enodes) 1540202426.026 * * [misc]simplify: iters left: 2 (351 enodes) 1540202426.160 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202426.160 * [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))))))) 1540202426.161 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202426.161 * * [misc]simplify: iters left: 6 (17 enodes) 1540202426.163 * * [misc]simplify: iters left: 5 (25 enodes) 1540202426.166 * * [misc]simplify: iters left: 4 (43 enodes) 1540202426.173 * * [misc]simplify: iters left: 3 (91 enodes) 1540202426.189 * * [misc]simplify: iters left: 2 (178 enodes) 1540202426.227 * * [misc]simplify: iters left: 1 (319 enodes) 1540202426.326 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540202426.326 * [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))))))) 1540202426.326 * * * * [misc]progress: [ 1771 / 6878 ] simplifiying candidate # 1540202426.326 * [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))))))) 1540202426.326 * * [misc]simplify: iters left: 6 (21 enodes) 1540202426.329 * * [misc]simplify: iters left: 5 (35 enodes) 1540202426.334 * * [misc]simplify: iters left: 4 (68 enodes) 1540202426.346 * * [misc]simplify: iters left: 3 (185 enodes) 1540202426.407 * [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)))))) 1540202426.408 * [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)))))))) 1540202426.408 * [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)))))) 1540202426.408 * * [misc]simplify: iters left: 6 (20 enodes) 1540202426.411 * * [misc]simplify: iters left: 5 (29 enodes) 1540202426.415 * * [misc]simplify: iters left: 4 (48 enodes) 1540202426.422 * * [misc]simplify: iters left: 3 (96 enodes) 1540202426.438 * * [misc]simplify: iters left: 2 (183 enodes) 1540202426.477 * * [misc]simplify: iters left: 1 (325 enodes) 1540202426.580 * [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))))) 1540202426.580 * [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))))))) 1540202426.580 * * * * [misc]progress: [ 1772 / 6878 ] simplifiying candidate # 1540202426.580 * [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)))))) 1540202426.580 * * [misc]simplify: iters left: 6 (20 enodes) 1540202426.583 * * [misc]simplify: iters left: 5 (32 enodes) 1540202426.587 * * [misc]simplify: iters left: 4 (59 enodes) 1540202426.597 * * [misc]simplify: iters left: 3 (140 enodes) 1540202426.630 * * [misc]simplify: iters left: 2 (355 enodes) 1540202426.765 * [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)))))) 1540202426.765 * [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)))))))) 1540202426.765 * [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)))))) 1540202426.766 * * [misc]simplify: iters left: 6 (20 enodes) 1540202426.768 * * [misc]simplify: iters left: 5 (29 enodes) 1540202426.772 * * [misc]simplify: iters left: 4 (48 enodes) 1540202426.781 * * [misc]simplify: iters left: 3 (96 enodes) 1540202426.797 * * [misc]simplify: iters left: 2 (183 enodes) 1540202426.836 * * [misc]simplify: iters left: 1 (325 enodes) 1540202426.937 * [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))))) 1540202426.938 * [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))))))) 1540202426.938 * * * * [misc]progress: [ 1773 / 6878 ] simplifiying candidate # 1540202426.938 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202426.938 * * [misc]simplify: iters left: 6 (16 enodes) 1540202426.940 * * [misc]simplify: iters left: 5 (28 enodes) 1540202426.944 * * [misc]simplify: iters left: 4 (54 enodes) 1540202426.954 * * [misc]simplify: iters left: 3 (103 enodes) 1540202426.974 * * [misc]simplify: iters left: 2 (238 enodes) 1540202427.052 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202427.052 * [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))))))) 1540202427.052 * [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))))) 1540202427.052 * * [misc]simplify: iters left: 6 (19 enodes) 1540202427.055 * * [misc]simplify: iters left: 5 (28 enodes) 1540202427.058 * * [misc]simplify: iters left: 4 (47 enodes) 1540202427.067 * * [misc]simplify: iters left: 3 (95 enodes) 1540202427.083 * * [misc]simplify: iters left: 2 (182 enodes) 1540202427.122 * * [misc]simplify: iters left: 1 (322 enodes) 1540202427.220 * [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)))))) 1540202427.220 * [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)))))))) 1540202427.220 * * * * [misc]progress: [ 1774 / 6878 ] simplifiying candidate # 1540202427.220 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202427.220 * * [misc]simplify: iters left: 6 (17 enodes) 1540202427.223 * * [misc]simplify: iters left: 5 (30 enodes) 1540202427.228 * * [misc]simplify: iters left: 4 (52 enodes) 1540202427.239 * * [misc]simplify: iters left: 3 (134 enodes) 1540202427.270 * * [misc]simplify: iters left: 2 (407 enodes) 1540202427.496 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202427.496 * [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))))))) 1540202427.496 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202427.496 * * [misc]simplify: iters left: 6 (16 enodes) 1540202427.498 * * [misc]simplify: iters left: 5 (24 enodes) 1540202427.501 * * [misc]simplify: iters left: 4 (42 enodes) 1540202427.508 * * [misc]simplify: iters left: 3 (90 enodes) 1540202427.526 * * [misc]simplify: iters left: 2 (177 enodes) 1540202427.563 * * [misc]simplify: iters left: 1 (315 enodes) 1540202427.659 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202427.659 * [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)))))) 1540202427.659 * * * * [misc]progress: [ 1775 / 6878 ] simplifiying candidate # 1540202427.660 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202427.660 * * [misc]simplify: iters left: 6 (17 enodes) 1540202427.663 * * [misc]simplify: iters left: 5 (30 enodes) 1540202427.667 * * [misc]simplify: iters left: 4 (52 enodes) 1540202427.677 * * [misc]simplify: iters left: 3 (134 enodes) 1540202427.709 * * [misc]simplify: iters left: 2 (407 enodes) 1540202427.936 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202427.936 * [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))))))) 1540202427.937 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202427.937 * * [misc]simplify: iters left: 6 (16 enodes) 1540202427.939 * * [misc]simplify: iters left: 5 (24 enodes) 1540202427.943 * * [misc]simplify: iters left: 4 (42 enodes) 1540202427.949 * * [misc]simplify: iters left: 3 (90 enodes) 1540202427.967 * * [misc]simplify: iters left: 2 (177 enodes) 1540202428.004 * * [misc]simplify: iters left: 1 (315 enodes) 1540202428.101 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540202428.101 * [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)))))) 1540202428.101 * * * * [misc]progress: [ 1776 / 6878 ] simplifiying candidate # 1540202428.101 * [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))))))) 1540202428.101 * * [misc]simplify: iters left: 6 (21 enodes) 1540202428.104 * * [misc]simplify: iters left: 5 (37 enodes) 1540202428.109 * * [misc]simplify: iters left: 4 (68 enodes) 1540202428.122 * * [misc]simplify: iters left: 3 (192 enodes) 1540202428.186 * [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)))))) 1540202428.186 * [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)))))))) 1540202428.186 * [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)))))) 1540202428.186 * * [misc]simplify: iters left: 6 (19 enodes) 1540202428.189 * * [misc]simplify: iters left: 5 (28 enodes) 1540202428.194 * * [misc]simplify: iters left: 4 (47 enodes) 1540202428.201 * * [misc]simplify: iters left: 3 (95 enodes) 1540202428.217 * * [misc]simplify: iters left: 2 (182 enodes) 1540202428.256 * * [misc]simplify: iters left: 1 (320 enodes) 1540202428.355 * [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)))))) 1540202428.355 * [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)))))))) 1540202428.355 * * * * [misc]progress: [ 1777 / 6878 ] simplifiying candidate # 1540202428.355 * [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)))))) 1540202428.356 * * [misc]simplify: iters left: 6 (20 enodes) 1540202428.359 * * [misc]simplify: iters left: 5 (34 enodes) 1540202428.364 * * [misc]simplify: iters left: 4 (59 enodes) 1540202428.374 * * [misc]simplify: iters left: 3 (141 enodes) 1540202428.406 * * [misc]simplify: iters left: 2 (417 enodes) 1540202428.627 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540202428.627 * [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)))))))) 1540202428.627 * [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)))))) 1540202428.627 * * [misc]simplify: iters left: 6 (19 enodes) 1540202428.630 * * [misc]simplify: iters left: 5 (28 enodes) 1540202428.634 * * [misc]simplify: iters left: 4 (47 enodes) 1540202428.643 * * [misc]simplify: iters left: 3 (95 enodes) 1540202428.659 * * [misc]simplify: iters left: 2 (182 enodes) 1540202428.697 * * [misc]simplify: iters left: 1 (320 enodes) 1540202428.797 * [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)))))) 1540202428.797 * [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)))))))) 1540202428.797 * * * * [misc]progress: [ 1778 / 6878 ] simplifiying candidate # 1540202428.797 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540202428.797 * * [misc]simplify: iters left: 6 (15 enodes) 1540202428.799 * * [misc]simplify: iters left: 5 (25 enodes) 1540202428.802 * * [misc]simplify: iters left: 4 (39 enodes) 1540202428.809 * * [misc]simplify: iters left: 3 (75 enodes) 1540202428.822 * * [misc]simplify: iters left: 2 (152 enodes) 1540202428.852 * * [misc]simplify: iters left: 1 (207 enodes) 1540202428.876 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202428.877 * [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))))))) 1540202428.877 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202428.877 * * [misc]simplify: iters left: 6 (18 enodes) 1540202428.879 * * [misc]simplify: iters left: 5 (27 enodes) 1540202428.883 * * [misc]simplify: iters left: 4 (46 enodes) 1540202428.890 * * [misc]simplify: iters left: 3 (94 enodes) 1540202428.906 * * [misc]simplify: iters left: 2 (181 enodes) 1540202428.945 * * [misc]simplify: iters left: 1 (322 enodes) 1540202429.045 * [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)))) 1540202429.045 * [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)))))) 1540202429.046 * * * * [misc]progress: [ 1779 / 6878 ] simplifiying candidate # 1540202429.046 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1) 1540202429.046 * * [misc]simplify: iters left: 6 (14 enodes) 1540202429.048 * * [misc]simplify: iters left: 5 (24 enodes) 1540202429.051 * * [misc]simplify: iters left: 4 (41 enodes) 1540202429.058 * * [misc]simplify: iters left: 3 (87 enodes) 1540202429.072 * * [misc]simplify: iters left: 2 (174 enodes) 1540202429.115 * * [misc]simplify: iters left: 1 (237 enodes) 1540202429.145 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202429.145 * [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))))))) 1540202429.145 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202429.145 * * [misc]simplify: iters left: 6 (18 enodes) 1540202429.148 * * [misc]simplify: iters left: 5 (27 enodes) 1540202429.151 * * [misc]simplify: iters left: 4 (46 enodes) 1540202429.158 * * [misc]simplify: iters left: 3 (94 enodes) 1540202429.175 * * [misc]simplify: iters left: 2 (181 enodes) 1540202429.213 * * [misc]simplify: iters left: 1 (322 enodes) 1540202429.313 * [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)))) 1540202429.313 * [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)))))) 1540202429.313 * * * * [misc]progress: [ 1780 / 6878 ] simplifiying candidate # 1540202429.313 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540202429.314 * * [misc]simplify: iters left: 6 (13 enodes) 1540202429.315 * * [misc]simplify: iters left: 5 (21 enodes) 1540202429.318 * * [misc]simplify: iters left: 4 (37 enodes) 1540202429.324 * * [misc]simplify: iters left: 3 (80 enodes) 1540202429.338 * * [misc]simplify: iters left: 2 (138 enodes) 1540202429.362 * * [misc]simplify: iters left: 1 (186 enodes) 1540202429.394 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202429.394 * [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))))))) 1540202429.394 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202429.394 * * [misc]simplify: iters left: 6 (19 enodes) 1540202429.397 * * [misc]simplify: iters left: 5 (30 enodes) 1540202429.401 * * [misc]simplify: iters left: 4 (47 enodes) 1540202429.408 * * [misc]simplify: iters left: 3 (99 enodes) 1540202429.425 * * [misc]simplify: iters left: 2 (206 enodes) 1540202429.484 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202429.484 * [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)))))) 1540202429.484 * * * * [misc]progress: [ 1781 / 6878 ] simplifiying candidate # 1540202429.484 * [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))) 1540202429.484 * * [misc]simplify: iters left: 6 (16 enodes) 1540202429.487 * * [misc]simplify: iters left: 5 (27 enodes) 1540202429.492 * * [misc]simplify: iters left: 4 (51 enodes) 1540202429.500 * * [misc]simplify: iters left: 3 (132 enodes) 1540202429.535 * * [misc]simplify: iters left: 2 (349 enodes) 1540202429.670 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540202429.670 * [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))))) 1540202429.671 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202429.671 * * [misc]simplify: iters left: 6 (15 enodes) 1540202429.673 * * [misc]simplify: iters left: 5 (21 enodes) 1540202429.677 * * [misc]simplify: iters left: 4 (31 enodes) 1540202429.681 * * [misc]simplify: iters left: 3 (46 enodes) 1540202429.687 * * [misc]simplify: iters left: 2 (63 enodes) 1540202429.695 * * [misc]simplify: iters left: 1 (80 enodes) 1540202429.706 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202429.706 * [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)))))) 1540202429.706 * * * * [misc]progress: [ 1782 / 6878 ] simplifiying candidate # 1540202429.706 * [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))))))) 1540202429.707 * * [misc]simplify: iters left: 6 (22 enodes) 1540202429.710 * * [misc]simplify: iters left: 5 (37 enodes) 1540202429.715 * * [misc]simplify: iters left: 4 (79 enodes) 1540202429.729 * * [misc]simplify: iters left: 3 (204 enodes) 1540202429.791 * [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))))))) 1540202429.791 * [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)))))))) 1540202429.791 * [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)))))) 1540202429.791 * * [misc]simplify: iters left: 6 (20 enodes) 1540202429.794 * * [misc]simplify: iters left: 5 (27 enodes) 1540202429.798 * * [misc]simplify: iters left: 4 (38 enodes) 1540202429.804 * * [misc]simplify: iters left: 3 (53 enodes) 1540202429.810 * * [misc]simplify: iters left: 2 (70 enodes) 1540202429.819 * * [misc]simplify: iters left: 1 (87 enodes) 1540202429.831 * [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)))))) 1540202429.831 * [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)))))))) 1540202429.831 * * * * [misc]progress: [ 1783 / 6878 ] simplifiying candidate # 1540202429.831 * [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)))))) 1540202429.831 * * [misc]simplify: iters left: 6 (21 enodes) 1540202429.834 * * [misc]simplify: iters left: 5 (34 enodes) 1540202429.839 * * [misc]simplify: iters left: 4 (68 enodes) 1540202429.850 * * [misc]simplify: iters left: 3 (147 enodes) 1540202429.881 * * [misc]simplify: iters left: 2 (299 enodes) 1540202429.984 * [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)))))) 1540202429.985 * [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)))))))) 1540202429.985 * [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)))))) 1540202429.985 * * [misc]simplify: iters left: 6 (20 enodes) 1540202429.987 * * [misc]simplify: iters left: 5 (27 enodes) 1540202429.991 * * [misc]simplify: iters left: 4 (38 enodes) 1540202429.996 * * [misc]simplify: iters left: 3 (53 enodes) 1540202430.003 * * [misc]simplify: iters left: 2 (70 enodes) 1540202430.012 * * [misc]simplify: iters left: 1 (87 enodes) 1540202430.023 * [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)))))) 1540202430.023 * [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)))))))) 1540202430.023 * * * * [misc]progress: [ 1784 / 6878 ] simplifiying candidate # 1540202430.023 * [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))) 1540202430.023 * * [misc]simplify: iters left: 6 (20 enodes) 1540202430.027 * * [misc]simplify: iters left: 5 (38 enodes) 1540202430.033 * * [misc]simplify: iters left: 4 (88 enodes) 1540202430.054 * * [misc]simplify: iters left: 3 (297 enodes) 1540202430.203 * [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))))))) 1540202430.203 * [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))))))) 1540202430.203 * [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))))) 1540202430.203 * * [misc]simplify: iters left: 6 (19 enodes) 1540202430.206 * * [misc]simplify: iters left: 5 (28 enodes) 1540202430.210 * * [misc]simplify: iters left: 4 (46 enodes) 1540202430.218 * * [misc]simplify: iters left: 3 (91 enodes) 1540202430.234 * * [misc]simplify: iters left: 2 (156 enodes) 1540202430.264 * * [misc]simplify: iters left: 1 (239 enodes) 1540202430.319 * [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)))))) 1540202430.319 * [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)))))))) 1540202430.319 * * * * [misc]progress: [ 1785 / 6878 ] simplifiying candidate # 1540202430.319 * [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))) 1540202430.320 * * [misc]simplify: iters left: 6 (20 enodes) 1540202430.323 * * [misc]simplify: iters left: 5 (38 enodes) 1540202430.329 * * [misc]simplify: iters left: 4 (88 enodes) 1540202430.350 * * [misc]simplify: iters left: 3 (297 enodes) 1540202430.499 * [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))))))) 1540202430.499 * [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))))))) 1540202430.499 * [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))))) 1540202430.499 * * [misc]simplify: iters left: 6 (19 enodes) 1540202430.502 * * [misc]simplify: iters left: 5 (28 enodes) 1540202430.505 * * [misc]simplify: iters left: 4 (46 enodes) 1540202430.514 * * [misc]simplify: iters left: 3 (91 enodes) 1540202430.530 * * [misc]simplify: iters left: 2 (156 enodes) 1540202430.560 * * [misc]simplify: iters left: 1 (239 enodes) 1540202430.615 * [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)))))) 1540202430.615 * [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)))))))) 1540202430.615 * * * * [misc]progress: [ 1786 / 6878 ] simplifiying candidate # 1540202430.615 * [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))))))) 1540202430.615 * * [misc]simplify: iters left: 6 (22 enodes) 1540202430.619 * * [misc]simplify: iters left: 5 (43 enodes) 1540202430.625 * * [misc]simplify: iters left: 4 (113 enodes) 1540202430.654 * * [misc]simplify: iters left: 3 (435 enodes) 1540202430.939 * [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))))))) 1540202430.939 * [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)))))))) 1540202430.939 * [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)))))) 1540202430.940 * * [misc]simplify: iters left: 6 (20 enodes) 1540202430.942 * * [misc]simplify: iters left: 5 (29 enodes) 1540202430.946 * * [misc]simplify: iters left: 4 (47 enodes) 1540202430.953 * * [misc]simplify: iters left: 3 (92 enodes) 1540202430.968 * * [misc]simplify: iters left: 2 (157 enodes) 1540202431.001 * * [misc]simplify: iters left: 1 (236 enodes) 1540202431.053 * [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)))))) 1540202431.054 * [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)))))))) 1540202431.054 * * * * [misc]progress: [ 1787 / 6878 ] simplifiying candidate # 1540202431.054 * [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))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202431.054 * * [misc]simplify: iters left: 6 (21 enodes) 1540202431.057 * * [misc]simplify: iters left: 5 (38 enodes) 1540202431.063 * * [misc]simplify: iters left: 4 (88 enodes) 1540202431.082 * * [misc]simplify: iters left: 3 (299 enodes) 1540202431.234 * [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))))))) 1540202431.234 * [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)))))))) 1540202431.235 * [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)))))) 1540202431.235 * * [misc]simplify: iters left: 6 (20 enodes) 1540202431.237 * * [misc]simplify: iters left: 5 (29 enodes) 1540202431.241 * * [misc]simplify: iters left: 4 (47 enodes) 1540202431.248 * * [misc]simplify: iters left: 3 (92 enodes) 1540202431.265 * * [misc]simplify: iters left: 2 (157 enodes) 1540202431.296 * * [misc]simplify: iters left: 1 (236 enodes) 1540202431.348 * [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)))))) 1540202431.348 * [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)))))))) 1540202431.348 * * * * [misc]progress: [ 1788 / 6878 ] simplifiying candidate # 1540202431.348 * [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)) 1540202431.349 * * [misc]simplify: iters left: 6 (20 enodes) 1540202431.352 * * [misc]simplify: iters left: 5 (39 enodes) 1540202431.358 * * [misc]simplify: iters left: 4 (95 enodes) 1540202431.378 * * [misc]simplify: iters left: 3 (285 enodes) 1540202431.569 * [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)))))) 1540202431.569 * [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))))))) 1540202431.570 * [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))))) 1540202431.570 * * [misc]simplify: iters left: 6 (19 enodes) 1540202431.572 * * [misc]simplify: iters left: 5 (28 enodes) 1540202431.576 * * [misc]simplify: iters left: 4 (46 enodes) 1540202431.583 * * [misc]simplify: iters left: 3 (91 enodes) 1540202431.598 * * [misc]simplify: iters left: 2 (156 enodes) 1540202431.630 * * [misc]simplify: iters left: 1 (239 enodes) 1540202431.685 * [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)))))) 1540202431.685 * [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)))))))) 1540202431.685 * * * * [misc]progress: [ 1789 / 6878 ] simplifiying candidate # 1540202431.685 * [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))) 1540202431.685 * * [misc]simplify: iters left: 6 (23 enodes) 1540202431.689 * * [misc]simplify: iters left: 5 (40 enodes) 1540202431.695 * * [misc]simplify: iters left: 4 (82 enodes) 1540202431.711 * * [misc]simplify: iters left: 3 (221 enodes) 1540202431.785 * [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)))))) 1540202431.785 * [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))))))) 1540202431.785 * [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))))) 1540202431.786 * * [misc]simplify: iters left: 6 (21 enodes) 1540202431.788 * * [misc]simplify: iters left: 5 (30 enodes) 1540202431.792 * * [misc]simplify: iters left: 4 (49 enodes) 1540202431.799 * * [misc]simplify: iters left: 3 (97 enodes) 1540202431.818 * * [misc]simplify: iters left: 2 (184 enodes) 1540202431.855 * * [misc]simplify: iters left: 1 (323 enodes) 1540202431.954 * [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)))) 1540202431.954 * [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)))))) 1540202431.954 * * * * [misc]progress: [ 1790 / 6878 ] simplifiying candidate # 1540202431.955 * [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))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540202431.955 * * [misc]simplify: iters left: 6 (23 enodes) 1540202431.959 * * [misc]simplify: iters left: 5 (40 enodes) 1540202431.965 * * [misc]simplify: iters left: 4 (82 enodes) 1540202431.982 * * [misc]simplify: iters left: 3 (221 enodes) 1540202432.056 * [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)))))) 1540202432.056 * [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))))))) 1540202432.056 * [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))))) 1540202432.057 * * [misc]simplify: iters left: 6 (21 enodes) 1540202432.059 * * [misc]simplify: iters left: 5 (30 enodes) 1540202432.063 * * [misc]simplify: iters left: 4 (49 enodes) 1540202432.070 * * [misc]simplify: iters left: 3 (97 enodes) 1540202432.087 * * [misc]simplify: iters left: 2 (184 enodes) 1540202432.127 * * [misc]simplify: iters left: 1 (323 enodes) 1540202432.226 * [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)))) 1540202432.226 * [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)))))) 1540202432.226 * * * * [misc]progress: [ 1791 / 6878 ] simplifiying candidate # 1540202432.226 * [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))))))) 1540202432.226 * * [misc]simplify: iters left: 6 (25 enodes) 1540202432.230 * * [misc]simplify: iters left: 5 (43 enodes) 1540202432.236 * * [misc]simplify: iters left: 4 (91 enodes) 1540202432.255 * * [misc]simplify: iters left: 3 (281 enodes) 1540202432.380 * [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)))))) 1540202432.380 * [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)))))))) 1540202432.380 * [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)))))) 1540202432.380 * * [misc]simplify: iters left: 6 (22 enodes) 1540202432.383 * * [misc]simplify: iters left: 5 (31 enodes) 1540202432.389 * * [misc]simplify: iters left: 4 (50 enodes) 1540202432.396 * * [misc]simplify: iters left: 3 (98 enodes) 1540202432.413 * * [misc]simplify: iters left: 2 (185 enodes) 1540202432.452 * * [misc]simplify: iters left: 1 (321 enodes) 1540202432.547 * [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)))))) 1540202432.548 * [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)))))))) 1540202432.548 * * * * [misc]progress: [ 1792 / 6878 ] simplifiying candidate # 1540202432.548 * [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)))))) 1540202432.548 * * [misc]simplify: iters left: 6 (24 enodes) 1540202432.551 * * [misc]simplify: iters left: 5 (40 enodes) 1540202432.557 * * [misc]simplify: iters left: 4 (82 enodes) 1540202432.573 * * [misc]simplify: iters left: 3 (221 enodes) 1540202432.652 * [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)))))) 1540202432.652 * [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)))))))) 1540202432.652 * [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)))))) 1540202432.652 * * [misc]simplify: iters left: 6 (22 enodes) 1540202432.655 * * [misc]simplify: iters left: 5 (31 enodes) 1540202432.659 * * [misc]simplify: iters left: 4 (50 enodes) 1540202432.666 * * [misc]simplify: iters left: 3 (98 enodes) 1540202432.685 * * [misc]simplify: iters left: 2 (185 enodes) 1540202432.722 * * [misc]simplify: iters left: 1 (321 enodes) 1540202432.819 * [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)))))) 1540202432.819 * [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)))))))) 1540202432.819 * * * * [misc]progress: [ 1793 / 6878 ] simplifiying candidate # 1540202432.819 * [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)) 1540202432.819 * * [misc]simplify: iters left: 6 (23 enodes) 1540202432.822 * * [misc]simplify: iters left: 5 (40 enodes) 1540202432.828 * * [misc]simplify: iters left: 4 (79 enodes) 1540202432.842 * * [misc]simplify: iters left: 3 (187 enodes) 1540202432.919 * [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)))))) 1540202432.919 * [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))))))) 1540202432.919 * [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))))) 1540202432.920 * * [misc]simplify: iters left: 6 (21 enodes) 1540202432.922 * * [misc]simplify: iters left: 5 (30 enodes) 1540202432.926 * * [misc]simplify: iters left: 4 (49 enodes) 1540202432.933 * * [misc]simplify: iters left: 3 (97 enodes) 1540202432.951 * * [misc]simplify: iters left: 2 (184 enodes) 1540202432.989 * * [misc]simplify: iters left: 1 (323 enodes) 1540202433.088 * [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))))) 1540202433.088 * [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))))))) 1540202433.089 * * * * [misc]progress: [ 1794 / 6878 ] simplifiying candidate # 1540202433.089 * [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))) 1540202433.089 * * [misc]simplify: iters left: 6 (21 enodes) 1540202433.093 * * [misc]simplify: iters left: 5 (37 enodes) 1540202433.099 * * [misc]simplify: iters left: 4 (79 enodes) 1540202433.113 * * [misc]simplify: iters left: 3 (214 enodes) 1540202433.187 * [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)))))) 1540202433.187 * [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))))))) 1540202433.187 * [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))))) 1540202433.187 * * [misc]simplify: iters left: 6 (20 enodes) 1540202433.190 * * [misc]simplify: iters left: 5 (29 enodes) 1540202433.194 * * [misc]simplify: iters left: 4 (48 enodes) 1540202433.201 * * [misc]simplify: iters left: 3 (96 enodes) 1540202433.220 * * [misc]simplify: iters left: 2 (183 enodes) 1540202433.257 * * [misc]simplify: iters left: 1 (324 enodes) 1540202433.360 * [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))))) 1540202433.360 * [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))))))) 1540202433.361 * * * * [misc]progress: [ 1795 / 6878 ] simplifiying candidate # 1540202433.361 * [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))) 1540202433.361 * * [misc]simplify: iters left: 6 (21 enodes) 1540202433.365 * * [misc]simplify: iters left: 5 (37 enodes) 1540202433.370 * * [misc]simplify: iters left: 4 (79 enodes) 1540202433.387 * * [misc]simplify: iters left: 3 (214 enodes) 1540202433.461 * [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)))))) 1540202433.461 * [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))))))) 1540202433.461 * [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))))) 1540202433.461 * * [misc]simplify: iters left: 6 (20 enodes) 1540202433.464 * * [misc]simplify: iters left: 5 (29 enodes) 1540202433.468 * * [misc]simplify: iters left: 4 (48 enodes) 1540202433.475 * * [misc]simplify: iters left: 3 (96 enodes) 1540202433.491 * * [misc]simplify: iters left: 2 (183 enodes) 1540202433.531 * * [misc]simplify: iters left: 1 (324 enodes) 1540202433.634 * [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))))) 1540202433.634 * [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))))))) 1540202433.634 * * * * [misc]progress: [ 1796 / 6878 ] simplifiying candidate # 1540202433.635 * [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 (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540202433.635 * * [misc]simplify: iters left: 6 (23 enodes) 1540202433.638 * * [misc]simplify: iters left: 5 (40 enodes) 1540202433.644 * * [misc]simplify: iters left: 4 (88 enodes) 1540202433.661 * * [misc]simplify: iters left: 3 (270 enodes) 1540202433.784 * [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))))))) 1540202433.784 * [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)))))))) 1540202433.784 * [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)))))) 1540202433.784 * * [misc]simplify: iters left: 6 (21 enodes) 1540202433.787 * * [misc]simplify: iters left: 5 (30 enodes) 1540202433.791 * * [misc]simplify: iters left: 4 (49 enodes) 1540202433.800 * * [misc]simplify: iters left: 3 (97 enodes) 1540202433.817 * * [misc]simplify: iters left: 2 (184 enodes) 1540202433.855 * * [misc]simplify: iters left: 1 (323 enodes) 1540202433.952 * [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)))))) 1540202433.953 * [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)))))))) 1540202433.953 * * * * [misc]progress: [ 1797 / 6878 ] simplifiying candidate # 1540202433.953 * [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)))))) 1540202433.953 * * [misc]simplify: iters left: 6 (22 enodes) 1540202433.956 * * [misc]simplify: iters left: 5 (37 enodes) 1540202433.961 * * [misc]simplify: iters left: 4 (79 enodes) 1540202433.977 * * [misc]simplify: iters left: 3 (214 enodes) 1540202434.054 * [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)))))) 1540202434.054 * [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)))))))) 1540202434.054 * [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)))))) 1540202434.054 * * [misc]simplify: iters left: 6 (21 enodes) 1540202434.057 * * [misc]simplify: iters left: 5 (30 enodes) 1540202434.061 * * [misc]simplify: iters left: 4 (49 enodes) 1540202434.068 * * [misc]simplify: iters left: 3 (97 enodes) 1540202434.085 * * [misc]simplify: iters left: 2 (184 enodes) 1540202434.124 * * [misc]simplify: iters left: 1 (323 enodes) 1540202434.223 * [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)))))) 1540202434.223 * [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)))))))) 1540202434.223 * * * * [misc]progress: [ 1798 / 6878 ] simplifiying candidate # 1540202434.223 * [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)) 1540202434.223 * * [misc]simplify: iters left: 6 (21 enodes) 1540202434.226 * * [misc]simplify: iters left: 5 (38 enodes) 1540202434.232 * * [misc]simplify: iters left: 4 (82 enodes) 1540202434.247 * * [misc]simplify: iters left: 3 (172 enodes) 1540202434.295 * [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)))))) 1540202434.296 * [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))))))) 1540202434.296 * [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))))) 1540202434.296 * * [misc]simplify: iters left: 6 (20 enodes) 1540202434.299 * * [misc]simplify: iters left: 5 (29 enodes) 1540202434.302 * * [misc]simplify: iters left: 4 (48 enodes) 1540202434.309 * * [misc]simplify: iters left: 3 (96 enodes) 1540202434.328 * * [misc]simplify: iters left: 2 (183 enodes) 1540202434.366 * * [misc]simplify: iters left: 1 (324 enodes) 1540202434.469 * [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))))) 1540202434.469 * [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))))))) 1540202434.469 * * * * [misc]progress: [ 1799 / 6878 ] simplifiying candidate # 1540202434.469 * [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 1) (pow 2 1/2))) 1540202434.470 * * [misc]simplify: iters left: 6 (22 enodes) 1540202434.474 * * [misc]simplify: iters left: 5 (40 enodes) 1540202434.480 * * [misc]simplify: iters left: 4 (84 enodes) 1540202434.500 * * [misc]simplify: iters left: 3 (256 enodes) 1540202434.611 * [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)))))) 1540202434.611 * [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))))))) 1540202434.611 * [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))))) 1540202434.611 * * [misc]simplify: iters left: 6 (19 enodes) 1540202434.614 * * [misc]simplify: iters left: 5 (28 enodes) 1540202434.618 * * [misc]simplify: iters left: 4 (47 enodes) 1540202434.624 * * [misc]simplify: iters left: 3 (95 enodes) 1540202434.641 * * [misc]simplify: iters left: 2 (182 enodes) 1540202434.680 * * [misc]simplify: iters left: 1 (319 enodes) 1540202434.777 * [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))))) 1540202434.778 * [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))))))) 1540202434.778 * * * * [misc]progress: [ 1800 / 6878 ] simplifiying candidate # 1540202434.778 * [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))))))) (/ (sqrt 1) (pow 2 1/2))) 1540202434.778 * * [misc]simplify: iters left: 6 (22 enodes) 1540202434.783 * * [misc]simplify: iters left: 5 (40 enodes) 1540202434.789 * * [misc]simplify: iters left: 4 (84 enodes) 1540202434.807 * * [misc]simplify: iters left: 3 (256 enodes) 1540202434.918 * [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)))))) 1540202434.918 * [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))))))) 1540202434.919 * [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))))) 1540202434.919 * * [misc]simplify: iters left: 6 (19 enodes) 1540202434.921 * * [misc]simplify: iters left: 5 (28 enodes) 1540202434.925 * * [misc]simplify: iters left: 4 (47 enodes) 1540202434.932 * * [misc]simplify: iters left: 3 (95 enodes) 1540202434.949 * * [misc]simplify: iters left: 2 (182 enodes) 1540202434.988 * * [misc]simplify: iters left: 1 (319 enodes) 1540202435.087 * [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))))) 1540202435.087 * [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))))))) 1540202435.088 * * * * [misc]progress: [ 1801 / 6878 ] simplifiying candidate # 1540202435.088 * [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))))))) 1540202435.088 * * [misc]simplify: iters left: 6 (24 enodes) 1540202435.092 * * [misc]simplify: iters left: 5 (43 enodes) 1540202435.098 * * [misc]simplify: iters left: 4 (94 enodes) 1540202435.120 * * [misc]simplify: iters left: 3 (330 enodes) 1540202435.292 * [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))))))) 1540202435.292 * [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)))))))) 1540202435.293 * [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)))))) 1540202435.293 * * [misc]simplify: iters left: 6 (20 enodes) 1540202435.295 * * [misc]simplify: iters left: 5 (29 enodes) 1540202435.299 * * [misc]simplify: iters left: 4 (48 enodes) 1540202435.308 * * [misc]simplify: iters left: 3 (96 enodes) 1540202435.325 * * [misc]simplify: iters left: 2 (183 enodes) 1540202435.364 * * [misc]simplify: iters left: 1 (326 enodes) 1540202435.464 * [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)))))) 1540202435.464 * [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)))))))) 1540202435.464 * * * * [misc]progress: [ 1802 / 6878 ] simplifiying candidate # 1540202435.464 * [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)))))) 1540202435.465 * * [misc]simplify: iters left: 6 (23 enodes) 1540202435.468 * * [misc]simplify: iters left: 5 (40 enodes) 1540202435.474 * * [misc]simplify: iters left: 4 (84 enodes) 1540202435.493 * * [misc]simplify: iters left: 3 (254 enodes) 1540202435.604 * [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)))))) 1540202435.604 * [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)))))))) 1540202435.604 * [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)))))) 1540202435.605 * * [misc]simplify: iters left: 6 (20 enodes) 1540202435.607 * * [misc]simplify: iters left: 5 (29 enodes) 1540202435.611 * * [misc]simplify: iters left: 4 (48 enodes) 1540202435.618 * * [misc]simplify: iters left: 3 (96 enodes) 1540202435.635 * * [misc]simplify: iters left: 2 (183 enodes) 1540202435.674 * * [misc]simplify: iters left: 1 (326 enodes) 1540202435.775 * [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)))))) 1540202435.775 * [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)))))))) 1540202435.776 * * * * [misc]progress: [ 1803 / 6878 ] simplifiying candidate # 1540202435.776 * [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)) 1540202435.776 * * [misc]simplify: iters left: 6 (21 enodes) 1540202435.780 * * [misc]simplify: iters left: 5 (38 enodes) 1540202435.785 * * [misc]simplify: iters left: 4 (67 enodes) 1540202435.796 * * [misc]simplify: iters left: 3 (161 enodes) 1540202435.836 * * [misc]simplify: iters left: 2 (480 enodes) 1540202436.400 * [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))) 1540202436.400 * [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))))))) 1540202436.401 * [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))))) 1540202436.401 * * [misc]simplify: iters left: 6 (19 enodes) 1540202436.403 * * [misc]simplify: iters left: 5 (28 enodes) 1540202436.407 * * [misc]simplify: iters left: 4 (47 enodes) 1540202436.417 * * [misc]simplify: iters left: 3 (95 enodes) 1540202436.434 * * [misc]simplify: iters left: 2 (182 enodes) 1540202436.471 * * [misc]simplify: iters left: 1 (319 enodes) 1540202436.569 * [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)))))) 1540202436.569 * [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)))))))) 1540202436.570 * * * * [misc]progress: [ 1804 / 6878 ] simplifiying candidate # 1540202436.570 * [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))) 1540202436.570 * * [misc]simplify: iters left: 6 (21 enodes) 1540202436.574 * * [misc]simplify: iters left: 5 (37 enodes) 1540202436.579 * * [misc]simplify: iters left: 4 (79 enodes) 1540202436.596 * * [misc]simplify: iters left: 3 (214 enodes) 1540202436.669 * [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)))))) 1540202436.669 * [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))))))) 1540202436.670 * [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))))) 1540202436.670 * * [misc]simplify: iters left: 6 (20 enodes) 1540202436.672 * * [misc]simplify: iters left: 5 (29 enodes) 1540202436.676 * * [misc]simplify: iters left: 4 (48 enodes) 1540202436.683 * * [misc]simplify: iters left: 3 (96 enodes) 1540202436.700 * * [misc]simplify: iters left: 2 (183 enodes) 1540202436.740 * * [misc]simplify: iters left: 1 (324 enodes) 1540202436.844 * [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))))) 1540202436.844 * [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))))))) 1540202436.844 * * * * [misc]progress: [ 1805 / 6878 ] simplifiying candidate # 1540202436.844 * [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))) 1540202436.844 * * [misc]simplify: iters left: 6 (21 enodes) 1540202436.848 * * [misc]simplify: iters left: 5 (37 enodes) 1540202436.854 * * [misc]simplify: iters left: 4 (79 enodes) 1540202436.869 * * [misc]simplify: iters left: 3 (214 enodes) 1540202436.944 * [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)))))) 1540202436.944 * [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))))))) 1540202436.944 * [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))))) 1540202436.944 * * [misc]simplify: iters left: 6 (20 enodes) 1540202436.947 * * [misc]simplify: iters left: 5 (29 enodes) 1540202436.951 * * [misc]simplify: iters left: 4 (48 enodes) 1540202436.958 * * [misc]simplify: iters left: 3 (96 enodes) 1540202436.974 * * [misc]simplify: iters left: 2 (183 enodes) 1540202437.013 * * [misc]simplify: iters left: 1 (324 enodes) 1540202437.117 * [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))))) 1540202437.117 * [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))))))) 1540202437.117 * * * * [misc]progress: [ 1806 / 6878 ] simplifiying candidate # 1540202437.117 * [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))))))) 1540202437.117 * * [misc]simplify: iters left: 6 (23 enodes) 1540202437.120 * * [misc]simplify: iters left: 5 (40 enodes) 1540202437.126 * * [misc]simplify: iters left: 4 (88 enodes) 1540202437.144 * * [misc]simplify: iters left: 3 (270 enodes) 1540202437.267 * [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))))))) 1540202437.267 * [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)))))))) 1540202437.268 * [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)))))) 1540202437.268 * * [misc]simplify: iters left: 6 (21 enodes) 1540202437.271 * * [misc]simplify: iters left: 5 (30 enodes) 1540202437.275 * * [misc]simplify: iters left: 4 (49 enodes) 1540202437.282 * * [misc]simplify: iters left: 3 (97 enodes) 1540202437.300 * * [misc]simplify: iters left: 2 (184 enodes) 1540202437.338 * * [misc]simplify: iters left: 1 (323 enodes) 1540202437.436 * [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)))))) 1540202437.436 * [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)))))))) 1540202437.437 * * * * [misc]progress: [ 1807 / 6878 ] simplifiying candidate # 1540202437.437 * [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)))))) 1540202437.437 * * [misc]simplify: iters left: 6 (22 enodes) 1540202437.440 * * [misc]simplify: iters left: 5 (37 enodes) 1540202437.445 * * [misc]simplify: iters left: 4 (79 enodes) 1540202437.460 * * [misc]simplify: iters left: 3 (214 enodes) 1540202437.538 * [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)))))) 1540202437.538 * [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)))))))) 1540202437.538 * [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)))))) 1540202437.538 * * [misc]simplify: iters left: 6 (21 enodes) 1540202437.541 * * [misc]simplify: iters left: 5 (30 enodes) 1540202437.545 * * [misc]simplify: iters left: 4 (49 enodes) 1540202437.552 * * [misc]simplify: iters left: 3 (97 enodes) 1540202437.569 * * [misc]simplify: iters left: 2 (184 enodes) 1540202437.608 * * [misc]simplify: iters left: 1 (323 enodes) 1540202437.707 * [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)))))) 1540202437.707 * [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)))))))) 1540202437.707 * * * * [misc]progress: [ 1808 / 6878 ] simplifiying candidate # 1540202437.707 * [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)) 1540202437.707 * * [misc]simplify: iters left: 6 (21 enodes) 1540202437.710 * * [misc]simplify: iters left: 5 (38 enodes) 1540202437.716 * * [misc]simplify: iters left: 4 (82 enodes) 1540202437.731 * * [misc]simplify: iters left: 3 (172 enodes) 1540202437.779 * [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)))))) 1540202437.780 * [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))))))) 1540202437.780 * [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))))) 1540202437.780 * * [misc]simplify: iters left: 6 (20 enodes) 1540202437.782 * * [misc]simplify: iters left: 5 (29 enodes) 1540202437.786 * * [misc]simplify: iters left: 4 (48 enodes) 1540202437.793 * * [misc]simplify: iters left: 3 (96 enodes) 1540202437.810 * * [misc]simplify: iters left: 2 (183 enodes) 1540202437.850 * * [misc]simplify: iters left: 1 (324 enodes) 1540202437.953 * [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))))) 1540202437.954 * [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))))))) 1540202437.954 * * * * [misc]progress: [ 1809 / 6878 ] simplifiying candidate # 1540202437.954 * [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))) 1540202437.954 * * [misc]simplify: iters left: 6 (21 enodes) 1540202437.958 * * [misc]simplify: iters left: 5 (39 enodes) 1540202437.964 * * [misc]simplify: iters left: 4 (79 enodes) 1540202437.979 * * [misc]simplify: iters left: 3 (211 enodes) 1540202438.051 * [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)))))) 1540202438.051 * [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))))))) 1540202438.052 * [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))))) 1540202438.053 * * [misc]simplify: iters left: 6 (19 enodes) 1540202438.055 * * [misc]simplify: iters left: 5 (28 enodes) 1540202438.061 * * [misc]simplify: iters left: 4 (47 enodes) 1540202438.068 * * [misc]simplify: iters left: 3 (95 enodes) 1540202438.084 * * [misc]simplify: iters left: 2 (182 enodes) 1540202438.123 * * [misc]simplify: iters left: 1 (319 enodes) 1540202438.221 * [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))))) 1540202438.221 * [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))))))) 1540202438.221 * * * * [misc]progress: [ 1810 / 6878 ] simplifiying candidate # 1540202438.221 * [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))) 1540202438.221 * * [misc]simplify: iters left: 6 (21 enodes) 1540202438.225 * * [misc]simplify: iters left: 5 (39 enodes) 1540202438.232 * * [misc]simplify: iters left: 4 (79 enodes) 1540202438.248 * * [misc]simplify: iters left: 3 (211 enodes) 1540202438.320 * [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)))))) 1540202438.320 * [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))))))) 1540202438.320 * [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))))) 1540202438.320 * * [misc]simplify: iters left: 6 (19 enodes) 1540202438.323 * * [misc]simplify: iters left: 5 (28 enodes) 1540202438.326 * * [misc]simplify: iters left: 4 (47 enodes) 1540202438.333 * * [misc]simplify: iters left: 3 (95 enodes) 1540202438.350 * * [misc]simplify: iters left: 2 (182 enodes) 1540202438.389 * * [misc]simplify: iters left: 1 (319 enodes) 1540202438.488 * [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))))) 1540202438.488 * [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))))))) 1540202438.488 * * * * [misc]progress: [ 1811 / 6878 ] simplifiying candidate # 1540202438.489 * [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))))))) 1540202438.489 * * [misc]simplify: iters left: 6 (23 enodes) 1540202438.492 * * [misc]simplify: iters left: 5 (42 enodes) 1540202438.498 * * [misc]simplify: iters left: 4 (88 enodes) 1540202438.517 * * [misc]simplify: iters left: 3 (284 enodes) 1540202438.648 * [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))))))) 1540202438.648 * [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)))))))) 1540202438.648 * [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)))))) 1540202438.649 * * [misc]simplify: iters left: 6 (20 enodes) 1540202438.651 * * [misc]simplify: iters left: 5 (29 enodes) 1540202438.655 * * [misc]simplify: iters left: 4 (48 enodes) 1540202438.662 * * [misc]simplify: iters left: 3 (96 enodes) 1540202438.679 * * [misc]simplify: iters left: 2 (183 enodes) 1540202438.718 * * [misc]simplify: iters left: 1 (326 enodes) 1540202438.819 * [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)))))) 1540202438.819 * [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)))))))) 1540202438.819 * * * * [misc]progress: [ 1812 / 6878 ] simplifiying candidate # 1540202438.819 * [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)))))) 1540202438.820 * * [misc]simplify: iters left: 6 (22 enodes) 1540202438.823 * * [misc]simplify: iters left: 5 (39 enodes) 1540202438.828 * * [misc]simplify: iters left: 4 (79 enodes) 1540202438.843 * * [misc]simplify: iters left: 3 (209 enodes) 1540202438.916 * [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))) 1540202438.916 * [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)))))))) 1540202438.916 * [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)))))) 1540202438.917 * * [misc]simplify: iters left: 6 (20 enodes) 1540202438.919 * * [misc]simplify: iters left: 5 (29 enodes) 1540202438.923 * * [misc]simplify: iters left: 4 (48 enodes) 1540202438.930 * * [misc]simplify: iters left: 3 (96 enodes) 1540202438.949 * * [misc]simplify: iters left: 2 (183 enodes) 1540202438.986 * * [misc]simplify: iters left: 1 (326 enodes) 1540202439.088 * [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)))))) 1540202439.088 * [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)))))))) 1540202439.088 * * * * [misc]progress: [ 1813 / 6878 ] simplifiying candidate # 1540202439.088 * [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)) 1540202439.089 * * [misc]simplify: iters left: 6 (20 enodes) 1540202439.091 * * [misc]simplify: iters left: 5 (35 enodes) 1540202439.096 * * [misc]simplify: iters left: 4 (67 enodes) 1540202439.109 * * [misc]simplify: iters left: 3 (166 enodes) 1540202439.157 * * [misc]simplify: iters left: 2 (410 enodes) 1540202439.591 * [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)))))) 1540202439.591 * [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))))))) 1540202439.591 * [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))))) 1540202439.591 * * [misc]simplify: iters left: 6 (19 enodes) 1540202439.594 * * [misc]simplify: iters left: 5 (28 enodes) 1540202439.597 * * [misc]simplify: iters left: 4 (47 enodes) 1540202439.604 * * [misc]simplify: iters left: 3 (95 enodes) 1540202439.621 * * [misc]simplify: iters left: 2 (182 enodes) 1540202439.660 * * [misc]simplify: iters left: 1 (319 enodes) 1540202439.760 * [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)))))) 1540202439.760 * [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)))))))) 1540202439.760 * * * * [misc]progress: [ 1814 / 6878 ] simplifiying candidate # 1540202439.760 * [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) 1540202439.760 * * [misc]simplify: iters left: 6 (19 enodes) 1540202439.763 * * [misc]simplify: iters left: 5 (34 enodes) 1540202439.768 * * [misc]simplify: iters left: 4 (71 enodes) 1540202439.781 * * [misc]simplify: iters left: 3 (185 enodes) 1540202439.838 * * [misc]simplify: iters left: 2 (436 enodes) 1540202440.002 * [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)))))) 1540202440.002 * [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))))))) 1540202440.002 * [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))))) 1540202440.002 * * [misc]simplify: iters left: 6 (19 enodes) 1540202440.005 * * [misc]simplify: iters left: 5 (28 enodes) 1540202440.008 * * [misc]simplify: iters left: 4 (47 enodes) 1540202440.015 * * [misc]simplify: iters left: 3 (95 enodes) 1540202440.032 * * [misc]simplify: iters left: 2 (182 enodes) 1540202440.071 * * [misc]simplify: iters left: 1 (319 enodes) 1540202440.170 * [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)))))) 1540202440.170 * [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)))))))) 1540202440.171 * * * * [misc]progress: [ 1815 / 6878 ] simplifiying candidate # 1540202440.171 * [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))) 1540202440.171 * * [misc]simplify: iters left: 6 (18 enodes) 1540202440.173 * * [misc]simplify: iters left: 5 (31 enodes) 1540202440.178 * * [misc]simplify: iters left: 4 (65 enodes) 1540202440.189 * * [misc]simplify: iters left: 3 (148 enodes) 1540202440.221 * * [misc]simplify: iters left: 2 (298 enodes) 1540202440.321 * [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)))))) 1540202440.321 * [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))))))) 1540202440.321 * [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))))) 1540202440.321 * * [misc]simplify: iters left: 6 (20 enodes) 1540202440.324 * * [misc]simplify: iters left: 5 (31 enodes) 1540202440.328 * * [misc]simplify: iters left: 4 (48 enodes) 1540202440.335 * * [misc]simplify: iters left: 3 (100 enodes) 1540202440.352 * * [misc]simplify: iters left: 2 (208 enodes) 1540202440.416 * [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)))) 1540202440.416 * [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)))))) 1540202440.416 * * * * [misc]progress: [ 1816 / 6878 ] simplifiying candidate # 1540202440.417 * [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))) 1540202440.417 * * [misc]simplify: iters left: 6 (20 enodes) 1540202440.420 * * [misc]simplify: iters left: 5 (36 enodes) 1540202440.426 * * [misc]simplify: iters left: 4 (78 enodes) 1540202440.443 * * [misc]simplify: iters left: 3 (213 enodes) 1540202440.517 * [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))))) 1540202440.517 * [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))))) 1540202440.517 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202440.517 * * [misc]simplify: iters left: 6 (18 enodes) 1540202440.519 * * [misc]simplify: iters left: 5 (25 enodes) 1540202440.523 * * [misc]simplify: iters left: 4 (36 enodes) 1540202440.527 * * [misc]simplify: iters left: 3 (51 enodes) 1540202440.534 * * [misc]simplify: iters left: 2 (68 enodes) 1540202440.542 * * [misc]simplify: iters left: 1 (85 enodes) 1540202440.554 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540202440.554 * [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)))))) 1540202440.554 * * * * [misc]progress: [ 1817 / 6878 ] simplifiying candidate # 1540202440.554 * [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))))))) 1540202440.554 * * [misc]simplify: iters left: 6 (21 enodes) 1540202440.557 * * [misc]simplify: iters left: 5 (32 enodes) 1540202440.562 * * [misc]simplify: iters left: 4 (59 enodes) 1540202440.572 * * [misc]simplify: iters left: 3 (128 enodes) 1540202440.597 * * [misc]simplify: iters left: 2 (265 enodes) 1540202440.667 * * [misc]simplify: iters left: 1 (453 enodes) 1540202440.810 * [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))))))) 1540202440.810 * [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)))))))) 1540202440.810 * [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)))))) 1540202440.811 * * [misc]simplify: iters left: 6 (20 enodes) 1540202440.813 * * [misc]simplify: iters left: 5 (27 enodes) 1540202440.817 * * [misc]simplify: iters left: 4 (38 enodes) 1540202440.821 * * [misc]simplify: iters left: 3 (53 enodes) 1540202440.828 * * [misc]simplify: iters left: 2 (70 enodes) 1540202440.837 * * [misc]simplify: iters left: 1 (87 enodes) 1540202440.850 * [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)))))) 1540202440.850 * [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)))))))) 1540202440.850 * * * * [misc]progress: [ 1818 / 6878 ] simplifiying candidate # 1540202440.850 * [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)))))) 1540202440.850 * * [misc]simplify: iters left: 6 (20 enodes) 1540202440.853 * * [misc]simplify: iters left: 5 (29 enodes) 1540202440.857 * * [misc]simplify: iters left: 4 (48 enodes) 1540202440.863 * * [misc]simplify: iters left: 3 (91 enodes) 1540202440.878 * * [misc]simplify: iters left: 2 (149 enodes) 1540202440.904 * * [misc]simplify: iters left: 1 (195 enodes) 1540202440.937 * [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)))))) 1540202440.938 * [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)))))))) 1540202440.938 * [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)))))) 1540202440.938 * * [misc]simplify: iters left: 6 (20 enodes) 1540202440.940 * * [misc]simplify: iters left: 5 (27 enodes) 1540202440.944 * * [misc]simplify: iters left: 4 (38 enodes) 1540202440.949 * * [misc]simplify: iters left: 3 (53 enodes) 1540202440.956 * * [misc]simplify: iters left: 2 (70 enodes) 1540202440.965 * * [misc]simplify: iters left: 1 (87 enodes) 1540202440.977 * [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)))))) 1540202440.977 * [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)))))))) 1540202440.977 * * * * [misc]progress: [ 1819 / 6878 ] simplifiying candidate # 1540202440.977 * [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))) 1540202440.977 * * [misc]simplify: iters left: 6 (19 enodes) 1540202440.980 * * [misc]simplify: iters left: 5 (33 enodes) 1540202440.986 * * [misc]simplify: iters left: 4 (68 enodes) 1540202440.999 * * [misc]simplify: iters left: 3 (203 enodes) 1540202441.072 * [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)))))) 1540202441.072 * [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))))))) 1540202441.072 * [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))))) 1540202441.072 * * [misc]simplify: iters left: 6 (19 enodes) 1540202441.075 * * [misc]simplify: iters left: 5 (28 enodes) 1540202441.079 * * [misc]simplify: iters left: 4 (46 enodes) 1540202441.085 * * [misc]simplify: iters left: 3 (91 enodes) 1540202441.103 * * [misc]simplify: iters left: 2 (156 enodes) 1540202441.133 * * [misc]simplify: iters left: 1 (239 enodes) 1540202441.188 * [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)))))) 1540202441.188 * [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)))))))) 1540202441.188 * * * * [misc]progress: [ 1820 / 6878 ] simplifiying candidate # 1540202441.188 * [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))) 1540202441.189 * * [misc]simplify: iters left: 6 (19 enodes) 1540202441.192 * * [misc]simplify: iters left: 5 (33 enodes) 1540202441.197 * * [misc]simplify: iters left: 4 (68 enodes) 1540202441.211 * * [misc]simplify: iters left: 3 (203 enodes) 1540202441.284 * [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)))))) 1540202441.284 * [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))))))) 1540202441.285 * [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))))) 1540202441.285 * * [misc]simplify: iters left: 6 (19 enodes) 1540202441.287 * * [misc]simplify: iters left: 5 (28 enodes) 1540202441.291 * * [misc]simplify: iters left: 4 (46 enodes) 1540202441.298 * * [misc]simplify: iters left: 3 (91 enodes) 1540202441.313 * * [misc]simplify: iters left: 2 (156 enodes) 1540202441.346 * * [misc]simplify: iters left: 1 (239 enodes) 1540202441.400 * [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)))))) 1540202441.400 * [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)))))))) 1540202441.400 * * * * [misc]progress: [ 1821 / 6878 ] simplifiying candidate # 1540202441.400 * [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))))))) 1540202441.401 * * [misc]simplify: iters left: 6 (21 enodes) 1540202441.404 * * [misc]simplify: iters left: 5 (38 enodes) 1540202441.409 * * [misc]simplify: iters left: 4 (93 enodes) 1540202441.430 * * [misc]simplify: iters left: 3 (308 enodes) 1540202441.577 * [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))))))) 1540202441.577 * [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)))))))) 1540202441.577 * [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)))))) 1540202441.577 * * [misc]simplify: iters left: 6 (20 enodes) 1540202441.580 * * [misc]simplify: iters left: 5 (29 enodes) 1540202441.584 * * [misc]simplify: iters left: 4 (47 enodes) 1540202441.590 * * [misc]simplify: iters left: 3 (92 enodes) 1540202441.606 * * [misc]simplify: iters left: 2 (157 enodes) 1540202441.637 * * [misc]simplify: iters left: 1 (236 enodes) 1540202441.690 * [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)))))) 1540202441.690 * [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)))))))) 1540202441.690 * * * * [misc]progress: [ 1822 / 6878 ] simplifiying candidate # 1540202441.690 * [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)))))) 1540202441.690 * * [misc]simplify: iters left: 6 (20 enodes) 1540202441.693 * * [misc]simplify: iters left: 5 (33 enodes) 1540202441.698 * * [misc]simplify: iters left: 4 (68 enodes) 1540202441.711 * * [misc]simplify: iters left: 3 (203 enodes) 1540202441.782 * [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)))))) 1540202441.782 * [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)))))))) 1540202441.782 * [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)))))) 1540202441.782 * * [misc]simplify: iters left: 6 (20 enodes) 1540202441.785 * * [misc]simplify: iters left: 5 (29 enodes) 1540202441.789 * * [misc]simplify: iters left: 4 (47 enodes) 1540202441.796 * * [misc]simplify: iters left: 3 (92 enodes) 1540202441.812 * * [misc]simplify: iters left: 2 (157 enodes) 1540202441.843 * * [misc]simplify: iters left: 1 (236 enodes) 1540202441.895 * [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)))))) 1540202441.895 * [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)))))))) 1540202441.895 * * * * [misc]progress: [ 1823 / 6878 ] simplifiying candidate # 1540202441.896 * [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)) 1540202441.896 * * [misc]simplify: iters left: 6 (19 enodes) 1540202441.899 * * [misc]simplify: iters left: 5 (34 enodes) 1540202441.904 * * [misc]simplify: iters left: 4 (73 enodes) 1540202441.917 * * [misc]simplify: iters left: 3 (194 enodes) 1540202442.013 * [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)))))) 1540202442.013 * [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))))))) 1540202442.013 * [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))))) 1540202442.013 * * [misc]simplify: iters left: 6 (19 enodes) 1540202442.016 * * [misc]simplify: iters left: 5 (28 enodes) 1540202442.020 * * [misc]simplify: iters left: 4 (46 enodes) 1540202442.027 * * [misc]simplify: iters left: 3 (91 enodes) 1540202442.042 * * [misc]simplify: iters left: 2 (156 enodes) 1540202442.074 * * [misc]simplify: iters left: 1 (239 enodes) 1540202442.129 * [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)))))) 1540202442.129 * [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)))))))) 1540202442.129 * * * * [misc]progress: [ 1824 / 6878 ] simplifiying candidate # 1540202442.129 * [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))) 1540202442.130 * * [misc]simplify: iters left: 6 (22 enodes) 1540202442.133 * * [misc]simplify: iters left: 5 (35 enodes) 1540202442.138 * * [misc]simplify: iters left: 4 (62 enodes) 1540202442.149 * * [misc]simplify: iters left: 3 (143 enodes) 1540202442.183 * * [misc]simplify: iters left: 2 (361 enodes) 1540202442.322 * [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)))) 1540202442.322 * [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))))))) 1540202442.322 * [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))))) 1540202442.322 * * [misc]simplify: iters left: 6 (21 enodes) 1540202442.325 * * [misc]simplify: iters left: 5 (30 enodes) 1540202442.329 * * [misc]simplify: iters left: 4 (49 enodes) 1540202442.338 * * [misc]simplify: iters left: 3 (97 enodes) 1540202442.355 * * [misc]simplify: iters left: 2 (184 enodes) 1540202442.393 * * [misc]simplify: iters left: 1 (323 enodes) 1540202442.491 * [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)))) 1540202442.491 * [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)))))) 1540202442.491 * * * * [misc]progress: [ 1825 / 6878 ] simplifiying candidate # 1540202442.491 * [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))) 1540202442.492 * * [misc]simplify: iters left: 6 (22 enodes) 1540202442.495 * * [misc]simplify: iters left: 5 (35 enodes) 1540202442.500 * * [misc]simplify: iters left: 4 (62 enodes) 1540202442.512 * * [misc]simplify: iters left: 3 (143 enodes) 1540202442.545 * * [misc]simplify: iters left: 2 (361 enodes) 1540202442.685 * [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)))) 1540202442.685 * [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))))))) 1540202442.685 * [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))))) 1540202442.685 * * [misc]simplify: iters left: 6 (21 enodes) 1540202442.688 * * [misc]simplify: iters left: 5 (30 enodes) 1540202442.692 * * [misc]simplify: iters left: 4 (49 enodes) 1540202442.699 * * [misc]simplify: iters left: 3 (97 enodes) 1540202442.716 * * [misc]simplify: iters left: 2 (184 enodes) 1540202442.756 * * [misc]simplify: iters left: 1 (323 enodes) 1540202442.855 * [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)))) 1540202442.855 * [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)))))) 1540202442.855 * * * * [misc]progress: [ 1826 / 6878 ] simplifiying candidate # 1540202442.856 * [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)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540202442.856 * * [misc]simplify: iters left: 6 (24 enodes) 1540202442.859 * * [misc]simplify: iters left: 5 (38 enodes) 1540202442.864 * * [misc]simplify: iters left: 4 (71 enodes) 1540202442.877 * * [misc]simplify: iters left: 3 (188 enodes) 1540202442.944 * [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))))))) 1540202442.944 * [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)))))))) 1540202442.945 * [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)))))) 1540202442.945 * * [misc]simplify: iters left: 6 (22 enodes) 1540202442.948 * * [misc]simplify: iters left: 5 (31 enodes) 1540202442.952 * * [misc]simplify: iters left: 4 (50 enodes) 1540202442.959 * * [misc]simplify: iters left: 3 (98 enodes) 1540202442.978 * * [misc]simplify: iters left: 2 (185 enodes) 1540202443.015 * * [misc]simplify: iters left: 1 (321 enodes) 1540202443.111 * [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)))))) 1540202443.111 * [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)))))))) 1540202443.112 * * * * [misc]progress: [ 1827 / 6878 ] simplifiying candidate # 1540202443.112 * [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)))))) 1540202443.112 * * [misc]simplify: iters left: 6 (23 enodes) 1540202443.116 * * [misc]simplify: iters left: 5 (35 enodes) 1540202443.121 * * [misc]simplify: iters left: 4 (62 enodes) 1540202443.130 * * [misc]simplify: iters left: 3 (143 enodes) 1540202443.164 * * [misc]simplify: iters left: 2 (359 enodes) 1540202443.304 * [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)))))) 1540202443.304 * [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)))))))) 1540202443.304 * [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)))))) 1540202443.304 * * [misc]simplify: iters left: 6 (22 enodes) 1540202443.307 * * [misc]simplify: iters left: 5 (31 enodes) 1540202443.311 * * [misc]simplify: iters left: 4 (50 enodes) 1540202443.318 * * [misc]simplify: iters left: 3 (98 enodes) 1540202443.335 * * [misc]simplify: iters left: 2 (185 enodes) 1540202443.374 * * [misc]simplify: iters left: 1 (321 enodes) 1540202443.470 * [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)))))) 1540202443.470 * [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)))))))) 1540202443.470 * * * * [misc]progress: [ 1828 / 6878 ] simplifiying candidate # 1540202443.470 * [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)) 1540202443.470 * * [misc]simplify: iters left: 6 (22 enodes) 1540202443.474 * * [misc]simplify: iters left: 5 (35 enodes) 1540202443.479 * * [misc]simplify: iters left: 4 (59 enodes) 1540202443.488 * * [misc]simplify: iters left: 3 (122 enodes) 1540202443.518 * * [misc]simplify: iters left: 2 (384 enodes) 1540202443.734 * [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))))) 1540202443.735 * [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))))))) 1540202443.735 * [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))))) 1540202443.735 * * [misc]simplify: iters left: 6 (21 enodes) 1540202443.738 * * [misc]simplify: iters left: 5 (30 enodes) 1540202443.742 * * [misc]simplify: iters left: 4 (49 enodes) 1540202443.749 * * [misc]simplify: iters left: 3 (97 enodes) 1540202443.767 * * [misc]simplify: iters left: 2 (184 enodes) 1540202443.805 * * [misc]simplify: iters left: 1 (323 enodes) 1540202443.904 * [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))))) 1540202443.904 * [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))))))) 1540202443.904 * * * * [misc]progress: [ 1829 / 6878 ] simplifiying candidate # 1540202443.904 * [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))) 1540202443.905 * * [misc]simplify: iters left: 6 (20 enodes) 1540202443.908 * * [misc]simplify: iters left: 5 (32 enodes) 1540202443.913 * * [misc]simplify: iters left: 4 (59 enodes) 1540202443.923 * * [misc]simplify: iters left: 3 (140 enodes) 1540202443.957 * * [misc]simplify: iters left: 2 (356 enodes) 1540202444.094 * [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))))) 1540202444.094 * [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))))))) 1540202444.095 * [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))))) 1540202444.095 * * [misc]simplify: iters left: 6 (20 enodes) 1540202444.097 * * [misc]simplify: iters left: 5 (29 enodes) 1540202444.101 * * [misc]simplify: iters left: 4 (48 enodes) 1540202444.108 * * [misc]simplify: iters left: 3 (96 enodes) 1540202444.125 * * [misc]simplify: iters left: 2 (183 enodes) 1540202444.164 * * [misc]simplify: iters left: 1 (324 enodes) 1540202444.267 * [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))))) 1540202444.267 * [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))))))) 1540202444.267 * * * * [misc]progress: [ 1830 / 6878 ] simplifiying candidate # 1540202444.267 * [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))) 1540202444.268 * * [misc]simplify: iters left: 6 (20 enodes) 1540202444.271 * * [misc]simplify: iters left: 5 (32 enodes) 1540202444.276 * * [misc]simplify: iters left: 4 (59 enodes) 1540202444.286 * * [misc]simplify: iters left: 3 (140 enodes) 1540202444.319 * * [misc]simplify: iters left: 2 (356 enodes) 1540202444.455 * [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))))) 1540202444.455 * [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))))))) 1540202444.456 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202444.456 * * [misc]simplify: iters left: 6 (20 enodes) 1540202444.458 * * [misc]simplify: iters left: 5 (29 enodes) 1540202444.462 * * [misc]simplify: iters left: 4 (48 enodes) 1540202444.469 * * [misc]simplify: iters left: 3 (96 enodes) 1540202444.488 * * [misc]simplify: iters left: 2 (183 enodes) 1540202444.525 * * [misc]simplify: iters left: 1 (324 enodes) 1540202444.629 * [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))))) 1540202444.629 * [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))))))) 1540202444.629 * * * * [misc]progress: [ 1831 / 6878 ] simplifiying candidate # 1540202444.629 * [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))))))) 1540202444.629 * * [misc]simplify: iters left: 6 (22 enodes) 1540202444.632 * * [misc]simplify: iters left: 5 (35 enodes) 1540202444.637 * * [misc]simplify: iters left: 4 (68 enodes) 1540202444.649 * * [misc]simplify: iters left: 3 (185 enodes) 1540202444.716 * [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)))))) 1540202444.716 * [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)))))))) 1540202444.716 * [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)))))) 1540202444.716 * * [misc]simplify: iters left: 6 (21 enodes) 1540202444.719 * * [misc]simplify: iters left: 5 (30 enodes) 1540202444.723 * * [misc]simplify: iters left: 4 (49 enodes) 1540202444.730 * * [misc]simplify: iters left: 3 (97 enodes) 1540202444.747 * * [misc]simplify: iters left: 2 (184 enodes) 1540202444.786 * * [misc]simplify: iters left: 1 (323 enodes) 1540202444.883 * [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)))))) 1540202444.883 * [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)))))))) 1540202444.883 * * * * [misc]progress: [ 1832 / 6878 ] simplifiying candidate # 1540202444.884 * [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)))))) 1540202444.884 * * [misc]simplify: iters left: 6 (21 enodes) 1540202444.887 * * [misc]simplify: iters left: 5 (32 enodes) 1540202444.892 * * [misc]simplify: iters left: 4 (59 enodes) 1540202444.901 * * [misc]simplify: iters left: 3 (140 enodes) 1540202444.934 * * [misc]simplify: iters left: 2 (361 enodes) 1540202445.069 * [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)))))) 1540202445.069 * [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)))))))) 1540202445.069 * [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)))))) 1540202445.069 * * [misc]simplify: iters left: 6 (21 enodes) 1540202445.072 * * [misc]simplify: iters left: 5 (30 enodes) 1540202445.076 * * [misc]simplify: iters left: 4 (49 enodes) 1540202445.083 * * [misc]simplify: iters left: 3 (97 enodes) 1540202445.100 * * [misc]simplify: iters left: 2 (184 enodes) 1540202445.139 * * [misc]simplify: iters left: 1 (323 enodes) 1540202445.238 * [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)))))) 1540202445.238 * [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)))))))) 1540202445.238 * * * * [misc]progress: [ 1833 / 6878 ] simplifiying candidate # 1540202445.238 * [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)) 1540202445.238 * * [misc]simplify: iters left: 6 (20 enodes) 1540202445.241 * * [misc]simplify: iters left: 5 (33 enodes) 1540202445.246 * * [misc]simplify: iters left: 4 (62 enodes) 1540202445.256 * * [misc]simplify: iters left: 3 (111 enodes) 1540202445.276 * * [misc]simplify: iters left: 2 (298 enodes) 1540202445.414 * [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))))) 1540202445.414 * [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))))))) 1540202445.414 * [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))))) 1540202445.414 * * [misc]simplify: iters left: 6 (20 enodes) 1540202445.417 * * [misc]simplify: iters left: 5 (29 enodes) 1540202445.421 * * [misc]simplify: iters left: 4 (48 enodes) 1540202445.428 * * [misc]simplify: iters left: 3 (96 enodes) 1540202445.445 * * [misc]simplify: iters left: 2 (183 enodes) 1540202445.484 * * [misc]simplify: iters left: 1 (324 enodes) 1540202445.587 * [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))))) 1540202445.588 * [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))))))) 1540202445.588 * * * * [misc]progress: [ 1834 / 6878 ] simplifiying candidate # 1540202445.588 * [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))) 1540202445.588 * * [misc]simplify: iters left: 6 (21 enodes) 1540202445.592 * * [misc]simplify: iters left: 5 (35 enodes) 1540202445.597 * * [misc]simplify: iters left: 4 (64 enodes) 1540202445.609 * * [misc]simplify: iters left: 3 (175 enodes) 1540202445.666 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202445.667 * [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))))))) 1540202445.667 * [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))))) 1540202445.667 * * [misc]simplify: iters left: 6 (19 enodes) 1540202445.669 * * [misc]simplify: iters left: 5 (28 enodes) 1540202445.673 * * [misc]simplify: iters left: 4 (47 enodes) 1540202445.680 * * [misc]simplify: iters left: 3 (95 enodes) 1540202445.699 * * [misc]simplify: iters left: 2 (182 enodes) 1540202445.736 * * [misc]simplify: iters left: 1 (319 enodes) 1540202445.835 * [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))))) 1540202445.835 * [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))))))) 1540202445.835 * * * * [misc]progress: [ 1835 / 6878 ] simplifiying candidate # 1540202445.835 * [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))) 1540202445.835 * * [misc]simplify: iters left: 6 (21 enodes) 1540202445.839 * * [misc]simplify: iters left: 5 (35 enodes) 1540202445.844 * * [misc]simplify: iters left: 4 (64 enodes) 1540202445.858 * * [misc]simplify: iters left: 3 (175 enodes) 1540202445.913 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202445.913 * [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))))))) 1540202445.914 * [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))))) 1540202445.914 * * [misc]simplify: iters left: 6 (19 enodes) 1540202445.918 * * [misc]simplify: iters left: 5 (28 enodes) 1540202445.922 * * [misc]simplify: iters left: 4 (47 enodes) 1540202445.928 * * [misc]simplify: iters left: 3 (95 enodes) 1540202445.945 * * [misc]simplify: iters left: 2 (182 enodes) 1540202445.984 * * [misc]simplify: iters left: 1 (319 enodes) 1540202446.081 * [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))))) 1540202446.081 * [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))))))) 1540202446.082 * * * * [misc]progress: [ 1836 / 6878 ] simplifiying candidate # 1540202446.082 * [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))))))) 1540202446.082 * * [misc]simplify: iters left: 6 (23 enodes) 1540202446.087 * * [misc]simplify: iters left: 5 (38 enodes) 1540202446.092 * * [misc]simplify: iters left: 4 (74 enodes) 1540202446.107 * * [misc]simplify: iters left: 3 (230 enodes) 1540202446.197 * [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)))))) 1540202446.197 * [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)))))))) 1540202446.197 * [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)))))) 1540202446.197 * * [misc]simplify: iters left: 6 (20 enodes) 1540202446.200 * * [misc]simplify: iters left: 5 (29 enodes) 1540202446.204 * * [misc]simplify: iters left: 4 (48 enodes) 1540202446.212 * * [misc]simplify: iters left: 3 (96 enodes) 1540202446.229 * * [misc]simplify: iters left: 2 (183 enodes) 1540202446.268 * * [misc]simplify: iters left: 1 (326 enodes) 1540202446.368 * [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)))))) 1540202446.368 * [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)))))))) 1540202446.368 * * * * [misc]progress: [ 1837 / 6878 ] simplifiying candidate # 1540202446.369 * [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)))))) 1540202446.369 * * [misc]simplify: iters left: 6 (22 enodes) 1540202446.372 * * [misc]simplify: iters left: 5 (35 enodes) 1540202446.378 * * [misc]simplify: iters left: 4 (64 enodes) 1540202446.390 * * [misc]simplify: iters left: 3 (175 enodes) 1540202446.446 * [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))))) 1540202446.446 * [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)))))))) 1540202446.446 * [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)))))) 1540202446.446 * * [misc]simplify: iters left: 6 (20 enodes) 1540202446.449 * * [misc]simplify: iters left: 5 (29 enodes) 1540202446.453 * * [misc]simplify: iters left: 4 (48 enodes) 1540202446.460 * * [misc]simplify: iters left: 3 (96 enodes) 1540202446.476 * * [misc]simplify: iters left: 2 (183 enodes) 1540202446.516 * * [misc]simplify: iters left: 1 (326 enodes) 1540202446.617 * [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)))))) 1540202446.617 * [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)))))))) 1540202446.617 * * * * [misc]progress: [ 1838 / 6878 ] simplifiying candidate # 1540202446.617 * [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)) 1540202446.617 * * [misc]simplify: iters left: 6 (20 enodes) 1540202446.621 * * [misc]simplify: iters left: 5 (33 enodes) 1540202446.625 * * [misc]simplify: iters left: 4 (50 enodes) 1540202446.633 * * [misc]simplify: iters left: 3 (91 enodes) 1540202446.648 * * [misc]simplify: iters left: 2 (204 enodes) 1540202446.744 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540202446.744 * [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))))))) 1540202446.744 * [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))))) 1540202446.744 * * [misc]simplify: iters left: 6 (19 enodes) 1540202446.747 * * [misc]simplify: iters left: 5 (28 enodes) 1540202446.750 * * [misc]simplify: iters left: 4 (47 enodes) 1540202446.757 * * [misc]simplify: iters left: 3 (95 enodes) 1540202446.774 * * [misc]simplify: iters left: 2 (182 enodes) 1540202446.813 * * [misc]simplify: iters left: 1 (319 enodes) 1540202446.912 * [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)))))) 1540202446.912 * [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)))))))) 1540202446.912 * * * * [misc]progress: [ 1839 / 6878 ] simplifiying candidate # 1540202446.913 * [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))) 1540202446.913 * * [misc]simplify: iters left: 6 (20 enodes) 1540202446.916 * * [misc]simplify: iters left: 5 (32 enodes) 1540202446.921 * * [misc]simplify: iters left: 4 (59 enodes) 1540202446.931 * * [misc]simplify: iters left: 3 (140 enodes) 1540202446.965 * * [misc]simplify: iters left: 2 (356 enodes) 1540202447.101 * [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))))) 1540202447.101 * [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))))))) 1540202447.102 * [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))))) 1540202447.102 * * [misc]simplify: iters left: 6 (20 enodes) 1540202447.104 * * [misc]simplify: iters left: 5 (29 enodes) 1540202447.108 * * [misc]simplify: iters left: 4 (48 enodes) 1540202447.115 * * [misc]simplify: iters left: 3 (96 enodes) 1540202447.134 * * [misc]simplify: iters left: 2 (183 enodes) 1540202447.172 * * [misc]simplify: iters left: 1 (324 enodes) 1540202447.274 * [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))))) 1540202447.274 * [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))))))) 1540202447.275 * * * * [misc]progress: [ 1840 / 6878 ] simplifiying candidate # 1540202447.275 * [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))) 1540202447.275 * * [misc]simplify: iters left: 6 (20 enodes) 1540202447.278 * * [misc]simplify: iters left: 5 (32 enodes) 1540202447.283 * * [misc]simplify: iters left: 4 (59 enodes) 1540202447.294 * * [misc]simplify: iters left: 3 (140 enodes) 1540202447.327 * * [misc]simplify: iters left: 2 (356 enodes) 1540202447.465 * [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))))) 1540202447.465 * [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))))))) 1540202447.465 * [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))))) 1540202447.465 * * [misc]simplify: iters left: 6 (20 enodes) 1540202447.468 * * [misc]simplify: iters left: 5 (29 enodes) 1540202447.472 * * [misc]simplify: iters left: 4 (48 enodes) 1540202447.479 * * [misc]simplify: iters left: 3 (96 enodes) 1540202447.496 * * [misc]simplify: iters left: 2 (183 enodes) 1540202447.534 * * [misc]simplify: iters left: 1 (324 enodes) 1540202447.638 * [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))))) 1540202447.638 * [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))))))) 1540202447.638 * * * * [misc]progress: [ 1841 / 6878 ] simplifiying candidate # 1540202447.638 * [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))))))) 1540202447.638 * * [misc]simplify: iters left: 6 (22 enodes) 1540202447.641 * * [misc]simplify: iters left: 5 (35 enodes) 1540202447.646 * * [misc]simplify: iters left: 4 (68 enodes) 1540202447.658 * * [misc]simplify: iters left: 3 (185 enodes) 1540202447.724 * [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)))))) 1540202447.724 * [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)))))))) 1540202447.724 * [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)))))) 1540202447.725 * * [misc]simplify: iters left: 6 (21 enodes) 1540202447.727 * * [misc]simplify: iters left: 5 (30 enodes) 1540202447.731 * * [misc]simplify: iters left: 4 (49 enodes) 1540202447.738 * * [misc]simplify: iters left: 3 (97 enodes) 1540202447.757 * * [misc]simplify: iters left: 2 (184 enodes) 1540202447.794 * * [misc]simplify: iters left: 1 (323 enodes) 1540202447.893 * [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)))))) 1540202447.893 * [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)))))))) 1540202447.893 * * * * [misc]progress: [ 1842 / 6878 ] simplifiying candidate # 1540202447.893 * [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)))))) 1540202447.894 * * [misc]simplify: iters left: 6 (21 enodes) 1540202447.896 * * [misc]simplify: iters left: 5 (32 enodes) 1540202447.901 * * [misc]simplify: iters left: 4 (59 enodes) 1540202447.910 * * [misc]simplify: iters left: 3 (140 enodes) 1540202447.944 * * [misc]simplify: iters left: 2 (361 enodes) 1540202448.079 * [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)))))) 1540202448.079 * [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)))))))) 1540202448.079 * [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)))))) 1540202448.079 * * [misc]simplify: iters left: 6 (21 enodes) 1540202448.082 * * [misc]simplify: iters left: 5 (30 enodes) 1540202448.087 * * [misc]simplify: iters left: 4 (49 enodes) 1540202448.095 * * [misc]simplify: iters left: 3 (97 enodes) 1540202448.112 * * [misc]simplify: iters left: 2 (184 enodes) 1540202448.150 * * [misc]simplify: iters left: 1 (323 enodes) 1540202448.248 * [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)))))) 1540202448.248 * [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)))))))) 1540202448.248 * * * * [misc]progress: [ 1843 / 6878 ] simplifiying candidate # 1540202448.248 * [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)) 1540202448.248 * * [misc]simplify: iters left: 6 (20 enodes) 1540202448.251 * * [misc]simplify: iters left: 5 (33 enodes) 1540202448.257 * * [misc]simplify: iters left: 4 (62 enodes) 1540202448.267 * * [misc]simplify: iters left: 3 (111 enodes) 1540202448.287 * * [misc]simplify: iters left: 2 (298 enodes) 1540202448.425 * [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))))) 1540202448.425 * [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))))))) 1540202448.425 * [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))))) 1540202448.425 * * [misc]simplify: iters left: 6 (20 enodes) 1540202448.429 * * [misc]simplify: iters left: 5 (29 enodes) 1540202448.433 * * [misc]simplify: iters left: 4 (48 enodes) 1540202448.440 * * [misc]simplify: iters left: 3 (96 enodes) 1540202448.457 * * [misc]simplify: iters left: 2 (183 enodes) 1540202448.495 * * [misc]simplify: iters left: 1 (324 enodes) 1540202448.599 * [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))))) 1540202448.599 * [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))))))) 1540202448.599 * * * * [misc]progress: [ 1844 / 6878 ] simplifiying candidate # 1540202448.599 * [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))) 1540202448.599 * * [misc]simplify: iters left: 6 (20 enodes) 1540202448.602 * * [misc]simplify: iters left: 5 (34 enodes) 1540202448.608 * * [misc]simplify: iters left: 4 (59 enodes) 1540202448.618 * * [misc]simplify: iters left: 3 (141 enodes) 1540202448.650 * * [misc]simplify: iters left: 2 (417 enodes) 1540202448.878 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202448.878 * [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))))))) 1540202448.878 * [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))))) 1540202448.879 * * [misc]simplify: iters left: 6 (19 enodes) 1540202448.881 * * [misc]simplify: iters left: 5 (28 enodes) 1540202448.885 * * [misc]simplify: iters left: 4 (47 enodes) 1540202448.892 * * [misc]simplify: iters left: 3 (95 enodes) 1540202448.909 * * [misc]simplify: iters left: 2 (182 enodes) 1540202448.947 * * [misc]simplify: iters left: 1 (319 enodes) 1540202449.046 * [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))))) 1540202449.046 * [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))))))) 1540202449.046 * * * * [misc]progress: [ 1845 / 6878 ] simplifiying candidate # 1540202449.046 * [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))) 1540202449.046 * * [misc]simplify: iters left: 6 (20 enodes) 1540202449.050 * * [misc]simplify: iters left: 5 (34 enodes) 1540202449.055 * * [misc]simplify: iters left: 4 (59 enodes) 1540202449.065 * * [misc]simplify: iters left: 3 (141 enodes) 1540202449.097 * * [misc]simplify: iters left: 2 (417 enodes) 1540202449.326 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540202449.326 * [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))))))) 1540202449.326 * [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))))) 1540202449.326 * * [misc]simplify: iters left: 6 (19 enodes) 1540202449.329 * * [misc]simplify: iters left: 5 (28 enodes) 1540202449.333 * * [misc]simplify: iters left: 4 (47 enodes) 1540202449.339 * * [misc]simplify: iters left: 3 (95 enodes) 1540202449.356 * * [misc]simplify: iters left: 2 (182 enodes) 1540202449.395 * * [misc]simplify: iters left: 1 (319 enodes) 1540202449.493 * [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))))) 1540202449.493 * [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))))))) 1540202449.493 * * * * [misc]progress: [ 1846 / 6878 ] simplifiying candidate # 1540202449.494 * [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))))))) 1540202449.494 * * [misc]simplify: iters left: 6 (22 enodes) 1540202449.497 * * [misc]simplify: iters left: 5 (37 enodes) 1540202449.502 * * [misc]simplify: iters left: 4 (68 enodes) 1540202449.515 * * [misc]simplify: iters left: 3 (192 enodes) 1540202449.582 * [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))))))) 1540202449.582 * [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)))))))) 1540202449.582 * [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)))))) 1540202449.582 * * [misc]simplify: iters left: 6 (20 enodes) 1540202449.585 * * [misc]simplify: iters left: 5 (29 enodes) 1540202449.589 * * [misc]simplify: iters left: 4 (48 enodes) 1540202449.596 * * [misc]simplify: iters left: 3 (96 enodes) 1540202449.613 * * [misc]simplify: iters left: 2 (183 enodes) 1540202449.652 * * [misc]simplify: iters left: 1 (326 enodes) 1540202449.754 * [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)))))) 1540202449.754 * [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)))))))) 1540202449.754 * * * * [misc]progress: [ 1847 / 6878 ] simplifiying candidate # 1540202449.755 * [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)))))) 1540202449.755 * * [misc]simplify: iters left: 6 (21 enodes) 1540202449.758 * * [misc]simplify: iters left: 5 (34 enodes) 1540202449.762 * * [misc]simplify: iters left: 4 (59 enodes) 1540202449.772 * * [misc]simplify: iters left: 3 (141 enodes) 1540202449.805 * * [misc]simplify: iters left: 2 (417 enodes) 1540202450.010 * [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))))) 1540202450.010 * [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)))))))) 1540202450.011 * [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)))))) 1540202450.011 * * [misc]simplify: iters left: 6 (20 enodes) 1540202450.014 * * [misc]simplify: iters left: 5 (29 enodes) 1540202450.019 * * [misc]simplify: iters left: 4 (48 enodes) 1540202450.026 * * [misc]simplify: iters left: 3 (96 enodes) 1540202450.043 * * [misc]simplify: iters left: 2 (183 enodes) 1540202450.082 * * [misc]simplify: iters left: 1 (326 enodes) 1540202450.183 * [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)))))) 1540202450.183 * [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)))))))) 1540202450.183 * * * * [misc]progress: [ 1848 / 6878 ] simplifiying candidate # 1540202450.183 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540202450.183 * * [misc]simplify: iters left: 6 (19 enodes) 1540202450.186 * * [misc]simplify: iters left: 5 (30 enodes) 1540202450.191 * * [misc]simplify: iters left: 4 (47 enodes) 1540202450.198 * * [misc]simplify: iters left: 3 (83 enodes) 1540202450.211 * * [misc]simplify: iters left: 2 (160 enodes) 1540202450.241 * * [misc]simplify: iters left: 1 (272 enodes) 1540202450.297 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202450.297 * [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))))))) 1540202450.297 * [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))))) 1540202450.297 * * [misc]simplify: iters left: 6 (19 enodes) 1540202450.300 * * [misc]simplify: iters left: 5 (28 enodes) 1540202450.304 * * [misc]simplify: iters left: 4 (47 enodes) 1540202450.311 * * [misc]simplify: iters left: 3 (95 enodes) 1540202450.328 * * [misc]simplify: iters left: 2 (182 enodes) 1540202450.366 * * [misc]simplify: iters left: 1 (319 enodes) 1540202450.464 * [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)))))) 1540202450.464 * [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)))))))) 1540202450.465 * * * * [misc]progress: [ 1849 / 6878 ] simplifiying candidate # 1540202450.465 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540202450.465 * * [misc]simplify: iters left: 6 (18 enodes) 1540202450.468 * * [misc]simplify: iters left: 5 (29 enodes) 1540202450.471 * * [misc]simplify: iters left: 4 (49 enodes) 1540202450.479 * * [misc]simplify: iters left: 3 (95 enodes) 1540202450.496 * * [misc]simplify: iters left: 2 (175 enodes) 1540202450.533 * * [misc]simplify: iters left: 1 (313 enodes) 1540202450.601 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540202450.601 * [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))))))) 1540202450.602 * [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))))) 1540202450.602 * * [misc]simplify: iters left: 6 (19 enodes) 1540202450.604 * * [misc]simplify: iters left: 5 (28 enodes) 1540202450.608 * * [misc]simplify: iters left: 4 (47 enodes) 1540202450.615 * * [misc]simplify: iters left: 3 (95 enodes) 1540202450.632 * * [misc]simplify: iters left: 2 (182 enodes) 1540202450.671 * * [misc]simplify: iters left: 1 (319 enodes) 1540202450.768 * [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)))))) 1540202450.768 * [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)))))))) 1540202450.768 * * * * [misc]progress: [ 1850 / 6878 ] simplifiying candidate # 1540202450.769 * [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))) 1540202450.770 * * [misc]simplify: iters left: 6 (17 enodes) 1540202450.772 * * [misc]simplify: iters left: 5 (26 enodes) 1540202450.775 * * [misc]simplify: iters left: 4 (45 enodes) 1540202450.782 * * [misc]simplify: iters left: 3 (88 enodes) 1540202450.796 * * [misc]simplify: iters left: 2 (144 enodes) 1540202450.820 * * [misc]simplify: iters left: 1 (190 enodes) 1540202450.853 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1540202450.854 * [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))))))) 1540202450.854 * [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))))) 1540202450.854 * * [misc]simplify: iters left: 6 (20 enodes) 1540202450.857 * * [misc]simplify: iters left: 5 (31 enodes) 1540202450.861 * * [misc]simplify: iters left: 4 (48 enodes) 1540202450.868 * * [misc]simplify: iters left: 3 (100 enodes) 1540202450.885 * * [misc]simplify: iters left: 2 (208 enodes) 1540202450.948 * [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)))) 1540202450.948 * [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)))))) 1540202450.948 * * * * [misc]progress: [ 1851 / 6878 ] simplifiying candidate # 1540202450.949 * [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))) 1540202450.949 * * [misc]simplify: iters left: 6 (19 enodes) 1540202450.952 * * [misc]simplify: iters left: 5 (31 enodes) 1540202450.958 * * [misc]simplify: iters left: 4 (58 enodes) 1540202450.968 * * [misc]simplify: iters left: 3 (139 enodes) 1540202451.001 * * [misc]simplify: iters left: 2 (359 enodes) 1540202451.140 * [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))))) 1540202451.140 * [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))))) 1540202451.140 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540202451.140 * * [misc]simplify: iters left: 6 (18 enodes) 1540202451.143 * * [misc]simplify: iters left: 5 (25 enodes) 1540202451.146 * * [misc]simplify: iters left: 4 (36 enodes) 1540202451.150 * * [misc]simplify: iters left: 3 (51 enodes) 1540202451.157 * * [misc]simplify: iters left: 2 (68 enodes) 1540202451.166 * * [misc]simplify: iters left: 1 (85 enodes) 1540202451.177 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540202451.177 * [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)))))) 1540202451.177 * * * * [misc]progress: [ 1852 / 6878 ] simplifiying candidate # 1540202451.177 * [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))))))) 1540202451.177 * * [misc]simplify: iters left: 6 (19 enodes) 1540202451.182 * * [misc]simplify: iters left: 5 (32 enodes) 1540202451.187 * * [misc]simplify: iters left: 4 (59 enodes) 1540202451.195 * * [misc]simplify: iters left: 3 (97 enodes) 1540202451.214 * * [misc]simplify: iters left: 2 (272 enodes) 1540202451.369 * [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)))))) 1540202451.369 * [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)))))))) 1540202451.369 * [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)))))) 1540202451.369 * * [misc]simplify: iters left: 6 (19 enodes) 1540202451.372 * * [misc]simplify: iters left: 5 (26 enodes) 1540202451.375 * * [misc]simplify: iters left: 4 (37 enodes) 1540202451.380 * * [misc]simplify: iters left: 3 (52 enodes) 1540202451.386 * * [misc]simplify: iters left: 2 (69 enodes) 1540202451.395 * * [misc]simplify: iters left: 1 (86 enodes) 1540202451.406 * [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)))))) 1540202451.406 * [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)))))))) 1540202451.407 * * * * [misc]progress: [ 1853 / 6878 ] simplifiying candidate # 1540202451.407 * [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)))))) 1540202451.407 * * [misc]simplify: iters left: 6 (18 enodes) 1540202451.409 * * [misc]simplify: iters left: 5 (29 enodes) 1540202451.414 * * [misc]simplify: iters left: 4 (50 enodes) 1540202451.421 * * [misc]simplify: iters left: 3 (65 enodes) 1540202451.431 * * [misc]simplify: iters left: 2 (148 enodes) 1540202451.478 * * [misc]simplify: iters left: 1 (429 enodes) 1540202451.651 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202451.651 * [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)))))))) 1540202451.651 * [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)))))) 1540202451.651 * * [misc]simplify: iters left: 6 (19 enodes) 1540202451.654 * * [misc]simplify: iters left: 5 (26 enodes) 1540202451.657 * * [misc]simplify: iters left: 4 (37 enodes) 1540202451.662 * * [misc]simplify: iters left: 3 (52 enodes) 1540202451.668 * * [misc]simplify: iters left: 2 (69 enodes) 1540202451.677 * * [misc]simplify: iters left: 1 (86 enodes) 1540202451.688 * [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)))))) 1540202451.689 * [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)))))))) 1540202451.689 * * * * [misc]progress: [ 1854 / 6878 ] simplifiying candidate # 1540202451.689 * [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))) 1540202451.689 * * [misc]simplify: iters left: 6 (15 enodes) 1540202451.692 * * [misc]simplify: iters left: 5 (29 enodes) 1540202451.697 * * [misc]simplify: iters left: 4 (68 enodes) 1540202451.709 * * [misc]simplify: iters left: 3 (134 enodes) 1540202451.747 * * [misc]simplify: iters left: 2 (423 enodes) 1540202452.035 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540202452.035 * [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))))))) 1540202452.036 * [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))))) 1540202452.036 * * [misc]simplify: iters left: 6 (18 enodes) 1540202452.038 * * [misc]simplify: iters left: 5 (27 enodes) 1540202452.042 * * [misc]simplify: iters left: 4 (45 enodes) 1540202452.049 * * [misc]simplify: iters left: 3 (90 enodes) 1540202452.066 * * [misc]simplify: iters left: 2 (155 enodes) 1540202452.097 * * [misc]simplify: iters left: 1 (238 enodes) 1540202452.150 * [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)))) 1540202452.150 * [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)))))) 1540202452.150 * * * * [misc]progress: [ 1855 / 6878 ] simplifiying candidate # 1540202452.151 * [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))) 1540202452.151 * * [misc]simplify: iters left: 6 (15 enodes) 1540202452.154 * * [misc]simplify: iters left: 5 (29 enodes) 1540202452.158 * * [misc]simplify: iters left: 4 (68 enodes) 1540202452.171 * * [misc]simplify: iters left: 3 (134 enodes) 1540202452.209 * * [misc]simplify: iters left: 2 (423 enodes) 1540202452.498 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540202452.498 * [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))))))) 1540202452.498 * [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))))) 1540202452.498 * * [misc]simplify: iters left: 6 (18 enodes) 1540202452.500 * * [misc]simplify: iters left: 5 (27 enodes) 1540202452.504 * * [misc]simplify: iters left: 4 (45 enodes) 1540202452.511 * * [misc]simplify: iters left: 3 (90 enodes) 1540202452.528 * * [misc]simplify: iters left: 2 (155 enodes) 1540202452.559 * * [misc]simplify: iters left: 1 (238 enodes) 1540202452.612 * [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)))) 1540202452.612 * [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)))))) 1540202452.612 * * * * [misc]progress: [ 1856 / 6878 ] simplifiying candidate # 1540202452.612 * [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))))))) 1540202452.612 * * [misc]simplify: iters left: 6 (19 enodes) 1540202452.615 * * [misc]simplify: iters left: 5 (38 enodes) 1540202452.622 * * [misc]simplify: iters left: 4 (100 enodes) 1540202452.640 * * [misc]simplify: iters left: 3 (234 enodes) 1540202452.736 * [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))))) 1540202452.736 * [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)))))))) 1540202452.736 * [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)))))) 1540202452.736 * * [misc]simplify: iters left: 6 (19 enodes) 1540202452.739 * * [misc]simplify: iters left: 5 (28 enodes) 1540202452.743 * * [misc]simplify: iters left: 4 (46 enodes) 1540202452.749 * * [misc]simplify: iters left: 3 (91 enodes) 1540202452.767 * * [misc]simplify: iters left: 2 (156 enodes) 1540202452.797 * * [misc]simplify: iters left: 1 (238 enodes) 1540202452.851 * [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)))))) 1540202452.851 * [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)))))))) 1540202452.851 * * * * [misc]progress: [ 1857 / 6878 ] simplifiying candidate # 1540202452.851 * [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)))))) 1540202452.851 * * [misc]simplify: iters left: 6 (18 enodes) 1540202452.854 * * [misc]simplify: iters left: 5 (33 enodes) 1540202452.859 * * [misc]simplify: iters left: 4 (75 enodes) 1540202452.872 * * [misc]simplify: iters left: 3 (142 enodes) 1540202452.909 * * [misc]simplify: iters left: 2 (435 enodes) 1540202453.251 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k))))) 1540202453.251 * [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)))))))) 1540202453.252 * [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)))))) 1540202453.253 * * [misc]simplify: iters left: 6 (19 enodes) 1540202453.255 * * [misc]simplify: iters left: 5 (28 enodes) 1540202453.259 * * [misc]simplify: iters left: 4 (46 enodes) 1540202453.266 * * [misc]simplify: iters left: 3 (91 enodes) 1540202453.281 * * [misc]simplify: iters left: 2 (156 enodes) 1540202453.314 * * [misc]simplify: iters left: 1 (238 enodes) 1540202453.367 * [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)))))) 1540202453.367 * [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)))))))) 1540202453.367 * * * * [misc]progress: [ 1858 / 6878 ] simplifiying candidate # 1540202453.367 * [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)) 1540202453.367 * * [misc]simplify: iters left: 6 (12 enodes) 1540202453.369 * * [misc]simplify: iters left: 5 (23 enodes) 1540202453.373 * * [misc]simplify: iters left: 4 (44 enodes) 1540202453.379 * * [misc]simplify: iters left: 3 (77 enodes) 1540202453.394 * * [misc]simplify: iters left: 2 (186 enodes) 1540202453.459 * * [misc]simplify: iters left: 1 (372 enodes) 1540202453.519 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540202453.519 * [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))))))) 1540202453.520 * [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))))) 1540202453.520 * * [misc]simplify: iters left: 6 (18 enodes) 1540202453.522 * * [misc]simplify: iters left: 5 (27 enodes) 1540202453.527 * * [misc]simplify: iters left: 4 (45 enodes) 1540202453.533 * * [misc]simplify: iters left: 3 (90 enodes) 1540202453.549 * * [misc]simplify: iters left: 2 (155 enodes) 1540202453.579 * * [misc]simplify: iters left: 1 (238 enodes) 1540202453.632 * [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)))) 1540202453.632 * [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)))))) 1540202453.633 * * * * [misc]progress: [ 1859 / 6878 ] simplifiying candidate # 1540202453.633 * [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))) 1540202453.633 * * [misc]simplify: iters left: 6 (18 enodes) 1540202453.636 * * [misc]simplify: iters left: 5 (31 enodes) 1540202453.641 * * [misc]simplify: iters left: 4 (55 enodes) 1540202453.650 * * [misc]simplify: iters left: 3 (94 enodes) 1540202453.669 * * [misc]simplify: iters left: 2 (252 enodes) 1540202453.790 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202453.790 * [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))))))) 1540202453.791 * [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))))) 1540202453.791 * * [misc]simplify: iters left: 6 (20 enodes) 1540202453.793 * * [misc]simplify: iters left: 5 (29 enodes) 1540202453.797 * * [misc]simplify: iters left: 4 (48 enodes) 1540202453.804 * * [misc]simplify: iters left: 3 (96 enodes) 1540202453.823 * * [misc]simplify: iters left: 2 (183 enodes) 1540202453.861 * * [misc]simplify: iters left: 1 (323 enodes) 1540202453.961 * [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)))) 1540202453.961 * [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)))))) 1540202453.961 * * * * [misc]progress: [ 1860 / 6878 ] simplifiying candidate # 1540202453.961 * [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))) 1540202453.961 * * [misc]simplify: iters left: 6 (18 enodes) 1540202453.965 * * [misc]simplify: iters left: 5 (31 enodes) 1540202453.969 * * [misc]simplify: iters left: 4 (55 enodes) 1540202453.978 * * [misc]simplify: iters left: 3 (94 enodes) 1540202453.998 * * [misc]simplify: iters left: 2 (252 enodes) 1540202454.120 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202454.120 * [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))))))) 1540202454.120 * [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))))) 1540202454.120 * * [misc]simplify: iters left: 6 (20 enodes) 1540202454.123 * * [misc]simplify: iters left: 5 (29 enodes) 1540202454.127 * * [misc]simplify: iters left: 4 (48 enodes) 1540202454.134 * * [misc]simplify: iters left: 3 (96 enodes) 1540202454.151 * * [misc]simplify: iters left: 2 (183 enodes) 1540202454.190 * * [misc]simplify: iters left: 1 (323 enodes) 1540202454.291 * [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)))) 1540202454.291 * [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)))))) 1540202454.291 * * * * [misc]progress: [ 1861 / 6878 ] simplifiying candidate # 1540202454.291 * [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))))))) 1540202454.291 * * [misc]simplify: iters left: 6 (22 enodes) 1540202454.294 * * [misc]simplify: iters left: 5 (38 enodes) 1540202454.300 * * [misc]simplify: iters left: 4 (71 enodes) 1540202454.311 * * [misc]simplify: iters left: 3 (134 enodes) 1540202454.340 * * [misc]simplify: iters left: 2 (426 enodes) 1540202454.657 * [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)))))) 1540202454.657 * [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)))))))) 1540202454.658 * [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)))))) 1540202454.658 * * [misc]simplify: iters left: 6 (21 enodes) 1540202454.661 * * [misc]simplify: iters left: 5 (30 enodes) 1540202454.665 * * [misc]simplify: iters left: 4 (49 enodes) 1540202454.672 * * [misc]simplify: iters left: 3 (97 enodes) 1540202454.688 * * [misc]simplify: iters left: 2 (184 enodes) 1540202454.727 * * [misc]simplify: iters left: 1 (321 enodes) 1540202454.824 * [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)))))) 1540202454.824 * [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)))))))) 1540202454.824 * * * * [misc]progress: [ 1862 / 6878 ] simplifiying candidate # 1540202454.825 * [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)))))) 1540202454.825 * * [misc]simplify: iters left: 6 (21 enodes) 1540202454.828 * * [misc]simplify: iters left: 5 (35 enodes) 1540202454.833 * * [misc]simplify: iters left: 4 (62 enodes) 1540202454.841 * * [misc]simplify: iters left: 3 (101 enodes) 1540202454.860 * * [misc]simplify: iters left: 2 (297 enodes) 1540202455.029 * [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)))))) 1540202455.029 * [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)))))))) 1540202455.029 * [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)))))) 1540202455.029 * * [misc]simplify: iters left: 6 (21 enodes) 1540202455.032 * * [misc]simplify: iters left: 5 (30 enodes) 1540202455.036 * * [misc]simplify: iters left: 4 (49 enodes) 1540202455.043 * * [misc]simplify: iters left: 3 (97 enodes) 1540202455.062 * * [misc]simplify: iters left: 2 (184 enodes) 1540202455.099 * * [misc]simplify: iters left: 1 (321 enodes) 1540202455.196 * [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)))))) 1540202455.197 * [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)))))))) 1540202455.197 * * * * [misc]progress: [ 1863 / 6878 ] simplifiying candidate # 1540202455.197 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540202455.197 * * [misc]simplify: iters left: 6 (16 enodes) 1540202455.199 * * [misc]simplify: iters left: 5 (27 enodes) 1540202455.203 * * [misc]simplify: iters left: 4 (49 enodes) 1540202455.210 * * [misc]simplify: iters left: 3 (74 enodes) 1540202455.223 * * [misc]simplify: iters left: 2 (155 enodes) 1540202455.263 * * [misc]simplify: iters left: 1 (255 enodes) 1540202455.320 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202455.320 * [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))))))) 1540202455.321 * [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))))) 1540202455.321 * * [misc]simplify: iters left: 6 (20 enodes) 1540202455.323 * * [misc]simplify: iters left: 5 (29 enodes) 1540202455.327 * * [misc]simplify: iters left: 4 (48 enodes) 1540202455.334 * * [misc]simplify: iters left: 3 (96 enodes) 1540202455.352 * * [misc]simplify: iters left: 2 (183 enodes) 1540202455.390 * * [misc]simplify: iters left: 1 (323 enodes) 1540202455.490 * [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))))) 1540202455.490 * [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))))))) 1540202455.490 * * * * [misc]progress: [ 1864 / 6878 ] simplifiying candidate # 1540202455.490 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202455.490 * * [misc]simplify: iters left: 6 (16 enodes) 1540202455.493 * * [misc]simplify: iters left: 5 (28 enodes) 1540202455.498 * * [misc]simplify: iters left: 4 (52 enodes) 1540202455.506 * * [misc]simplify: iters left: 3 (129 enodes) 1540202455.543 * * [misc]simplify: iters left: 2 (495 enodes) 1540202455.968 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202455.968 * [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))))))) 1540202455.968 * [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))))) 1540202455.969 * * [misc]simplify: iters left: 6 (19 enodes) 1540202455.971 * * [misc]simplify: iters left: 5 (28 enodes) 1540202455.975 * * [misc]simplify: iters left: 4 (47 enodes) 1540202455.982 * * [misc]simplify: iters left: 3 (95 enodes) 1540202455.998 * * [misc]simplify: iters left: 2 (182 enodes) 1540202456.038 * * [misc]simplify: iters left: 1 (317 enodes) 1540202456.135 * [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)))))) 1540202456.135 * [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)))))))) 1540202456.135 * * * * [misc]progress: [ 1865 / 6878 ] simplifiying candidate # 1540202456.135 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202456.135 * * [misc]simplify: iters left: 6 (16 enodes) 1540202456.138 * * [misc]simplify: iters left: 5 (28 enodes) 1540202456.142 * * [misc]simplify: iters left: 4 (52 enodes) 1540202456.151 * * [misc]simplify: iters left: 3 (129 enodes) 1540202456.188 * * [misc]simplify: iters left: 2 (495 enodes) 1540202456.613 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202456.614 * [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))))))) 1540202456.614 * [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))))) 1540202456.614 * * [misc]simplify: iters left: 6 (19 enodes) 1540202456.616 * * [misc]simplify: iters left: 5 (28 enodes) 1540202456.620 * * [misc]simplify: iters left: 4 (47 enodes) 1540202456.627 * * [misc]simplify: iters left: 3 (95 enodes) 1540202456.644 * * [misc]simplify: iters left: 2 (182 enodes) 1540202456.683 * * [misc]simplify: iters left: 1 (317 enodes) 1540202456.780 * [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)))))) 1540202456.780 * [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)))))))) 1540202456.780 * * * * [misc]progress: [ 1866 / 6878 ] simplifiying candidate # 1540202456.780 * [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))))))) 1540202456.780 * * [misc]simplify: iters left: 6 (20 enodes) 1540202456.783 * * [misc]simplify: iters left: 5 (35 enodes) 1540202456.788 * * [misc]simplify: iters left: 4 (68 enodes) 1540202456.800 * * [misc]simplify: iters left: 3 (174 enodes) 1540202456.862 * [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)))))) 1540202456.862 * [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) (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)))))))) 1540202456.862 * [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)))))) 1540202456.862 * * [misc]simplify: iters left: 6 (20 enodes) 1540202456.865 * * [misc]simplify: iters left: 5 (29 enodes) 1540202456.869 * * [misc]simplify: iters left: 4 (48 enodes) 1540202456.876 * * [misc]simplify: iters left: 3 (96 enodes) 1540202456.893 * * [misc]simplify: iters left: 2 (183 enodes) 1540202456.932 * * [misc]simplify: iters left: 1 (321 enodes) 1540202457.032 * [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)))))) 1540202457.032 * [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)))))))) 1540202457.032 * * * * [misc]progress: [ 1867 / 6878 ] simplifiying candidate # 1540202457.032 * [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)))))) 1540202457.033 * * [misc]simplify: iters left: 6 (19 enodes) 1540202457.035 * * [misc]simplify: iters left: 5 (32 enodes) 1540202457.040 * * [misc]simplify: iters left: 4 (59 enodes) 1540202457.048 * * [misc]simplify: iters left: 3 (96 enodes) 1540202457.064 * * [misc]simplify: iters left: 2 (261 enodes) 1540202457.187 * [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))))) 1540202457.187 * [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)))))))) 1540202457.187 * [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)))))) 1540202457.187 * * [misc]simplify: iters left: 6 (20 enodes) 1540202457.190 * * [misc]simplify: iters left: 5 (29 enodes) 1540202457.193 * * [misc]simplify: iters left: 4 (48 enodes) 1540202457.200 * * [misc]simplify: iters left: 3 (96 enodes) 1540202457.217 * * [misc]simplify: iters left: 2 (183 enodes) 1540202457.255 * * [misc]simplify: iters left: 1 (321 enodes) 1540202457.355 * [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)))))) 1540202457.355 * [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)))))))) 1540202457.355 * * * * [misc]progress: [ 1868 / 6878 ] simplifiying candidate # 1540202457.355 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202457.355 * * [misc]simplify: iters left: 6 (14 enodes) 1540202457.357 * * [misc]simplify: iters left: 5 (25 enodes) 1540202457.361 * * [misc]simplify: iters left: 4 (50 enodes) 1540202457.368 * * [misc]simplify: iters left: 3 (68 enodes) 1540202457.377 * * [misc]simplify: iters left: 2 (138 enodes) 1540202457.410 * * [misc]simplify: iters left: 1 (238 enodes) 1540202457.462 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202457.462 * [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))))))) 1540202457.462 * [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))))) 1540202457.462 * * [misc]simplify: iters left: 6 (19 enodes) 1540202457.465 * * [misc]simplify: iters left: 5 (28 enodes) 1540202457.469 * * [misc]simplify: iters left: 4 (47 enodes) 1540202457.477 * * [misc]simplify: iters left: 3 (95 enodes) 1540202457.494 * * [misc]simplify: iters left: 2 (182 enodes) 1540202457.532 * * [misc]simplify: iters left: 1 (317 enodes) 1540202457.627 * [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)))))) 1540202457.627 * [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)))))))) 1540202457.627 * * * * [misc]progress: [ 1869 / 6878 ] simplifiying candidate # 1540202457.627 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202457.627 * * [misc]simplify: iters left: 6 (16 enodes) 1540202457.630 * * [misc]simplify: iters left: 5 (28 enodes) 1540202457.635 * * [misc]simplify: iters left: 4 (52 enodes) 1540202457.644 * * [misc]simplify: iters left: 3 (99 enodes) 1540202457.674 * * [misc]simplify: iters left: 2 (292 enodes) 1540202457.823 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202457.823 * [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))))))) 1540202457.824 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202457.824 * * [misc]simplify: iters left: 6 (18 enodes) 1540202457.826 * * [misc]simplify: iters left: 5 (27 enodes) 1540202457.830 * * [misc]simplify: iters left: 4 (46 enodes) 1540202457.836 * * [misc]simplify: iters left: 3 (94 enodes) 1540202457.853 * * [misc]simplify: iters left: 2 (181 enodes) 1540202457.892 * * [misc]simplify: iters left: 1 (323 enodes) 1540202457.993 * [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)))) 1540202457.993 * [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)))))) 1540202457.993 * * * * [misc]progress: [ 1870 / 6878 ] simplifiying candidate # 1540202457.993 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540202457.994 * * [misc]simplify: iters left: 6 (16 enodes) 1540202457.997 * * [misc]simplify: iters left: 5 (28 enodes) 1540202458.001 * * [misc]simplify: iters left: 4 (52 enodes) 1540202458.010 * * [misc]simplify: iters left: 3 (99 enodes) 1540202458.039 * * [misc]simplify: iters left: 2 (292 enodes) 1540202458.188 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540202458.188 * [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))))))) 1540202458.189 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202458.189 * * [misc]simplify: iters left: 6 (18 enodes) 1540202458.191 * * [misc]simplify: iters left: 5 (27 enodes) 1540202458.195 * * [misc]simplify: iters left: 4 (46 enodes) 1540202458.202 * * [misc]simplify: iters left: 3 (94 enodes) 1540202458.218 * * [misc]simplify: iters left: 2 (181 enodes) 1540202458.258 * * [misc]simplify: iters left: 1 (323 enodes) 1540202458.359 * [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)))) 1540202458.359 * [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)))))) 1540202458.359 * * * * [misc]progress: [ 1871 / 6878 ] simplifiying candidate # 1540202458.359 * [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))))))) 1540202458.359 * * [misc]simplify: iters left: 6 (20 enodes) 1540202458.362 * * [misc]simplify: iters left: 5 (35 enodes) 1540202458.368 * * [misc]simplify: iters left: 4 (69 enodes) 1540202458.380 * * [misc]simplify: iters left: 3 (152 enodes) 1540202458.428 * * [misc]simplify: iters left: 2 (498 enodes) 1540202458.878 * [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)))))) 1540202458.878 * [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)))))))) 1540202458.878 * [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)))))) 1540202458.878 * * [misc]simplify: iters left: 6 (19 enodes) 1540202458.881 * * [misc]simplify: iters left: 5 (28 enodes) 1540202458.884 * * [misc]simplify: iters left: 4 (47 enodes) 1540202458.893 * * [misc]simplify: iters left: 3 (95 enodes) 1540202458.910 * * [misc]simplify: iters left: 2 (182 enodes) 1540202458.948 * * [misc]simplify: iters left: 1 (317 enodes) 1540202459.044 * [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)))))) 1540202459.044 * [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)))))))) 1540202459.044 * * * * [misc]progress: [ 1872 / 6878 ] simplifiying candidate # 1540202459.045 * [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)))))) 1540202459.045 * * [misc]simplify: iters left: 6 (19 enodes) 1540202459.048 * * [misc]simplify: iters left: 5 (32 enodes) 1540202459.053 * * [misc]simplify: iters left: 4 (59 enodes) 1540202459.063 * * [misc]simplify: iters left: 3 (106 enodes) 1540202459.091 * * [misc]simplify: iters left: 2 (323 enodes) 1540202459.303 * [exit]simplify: Simplified to (* (sqrt PI) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540202459.304 * [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)))))))) 1540202459.304 * [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)))))) 1540202459.304 * * [misc]simplify: iters left: 6 (19 enodes) 1540202459.306 * * [misc]simplify: iters left: 5 (28 enodes) 1540202459.310 * * [misc]simplify: iters left: 4 (47 enodes) 1540202459.317 * * [misc]simplify: iters left: 3 (95 enodes) 1540202459.334 * * [misc]simplify: iters left: 2 (182 enodes) 1540202459.373 * * [misc]simplify: iters left: 1 (317 enodes) 1540202459.470 * [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)))))) 1540202459.470 * [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)))))))) 1540202459.471 * * * * [misc]progress: [ 1873 / 6878 ] simplifiying candidate # 1540202459.471 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) 1)) 1540202459.471 * * [misc]simplify: iters left: 6 (14 enodes) 1540202459.474 * * [misc]simplify: iters left: 5 (25 enodes) 1540202459.477 * * [misc]simplify: iters left: 4 (36 enodes) 1540202459.481 * * [misc]simplify: iters left: 3 (46 enodes) 1540202459.487 * * [misc]simplify: iters left: 2 (82 enodes) 1540202459.504 * * [misc]simplify: iters left: 1 (124 enodes) 1540202459.530 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202459.530 * [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))))))) 1540202459.531 * [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))))) 1540202459.531 * * [misc]simplify: iters left: 6 (18 enodes) 1540202459.533 * * [misc]simplify: iters left: 5 (27 enodes) 1540202459.537 * * [misc]simplify: iters left: 4 (46 enodes) 1540202459.543 * * [misc]simplify: iters left: 3 (94 enodes) 1540202459.560 * * [misc]simplify: iters left: 2 (181 enodes) 1540202459.599 * * [misc]simplify: iters left: 1 (323 enodes) 1540202459.700 * [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)))) 1540202459.700 * [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)))))) 1540202459.700 * * * * [misc]progress: [ 1874 / 6878 ] simplifiying candidate # 1540202459.700 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202459.701 * * [misc]simplify: iters left: 6 (16 enodes) 1540202459.703 * * [misc]simplify: iters left: 5 (28 enodes) 1540202459.708 * * [misc]simplify: iters left: 4 (52 enodes) 1540202459.717 * * [misc]simplify: iters left: 3 (129 enodes) 1540202459.754 * * [misc]simplify: iters left: 2 (495 enodes) 1540202460.176 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202460.176 * [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))))))) 1540202460.177 * [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))))) 1540202460.177 * * [misc]simplify: iters left: 6 (19 enodes) 1540202460.182 * * [misc]simplify: iters left: 5 (28 enodes) 1540202460.185 * * [misc]simplify: iters left: 4 (47 enodes) 1540202460.192 * * [misc]simplify: iters left: 3 (95 enodes) 1540202460.209 * * [misc]simplify: iters left: 2 (182 enodes) 1540202460.248 * * [misc]simplify: iters left: 1 (317 enodes) 1540202460.343 * [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)))))) 1540202460.343 * [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)))))))) 1540202460.343 * * * * [misc]progress: [ 1875 / 6878 ] simplifiying candidate # 1540202460.343 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540202460.343 * * [misc]simplify: iters left: 6 (16 enodes) 1540202460.346 * * [misc]simplify: iters left: 5 (28 enodes) 1540202460.352 * * [misc]simplify: iters left: 4 (52 enodes) 1540202460.361 * * [misc]simplify: iters left: 3 (129 enodes) 1540202460.396 * * [misc]simplify: iters left: 2 (495 enodes) 1540202460.820 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202460.820 * [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))))))) 1540202460.820 * [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))))) 1540202460.820 * * [misc]simplify: iters left: 6 (19 enodes) 1540202460.823 * * [misc]simplify: iters left: 5 (28 enodes) 1540202460.827 * * [misc]simplify: iters left: 4 (47 enodes) 1540202460.834 * * [misc]simplify: iters left: 3 (95 enodes) 1540202460.853 * * [misc]simplify: iters left: 2 (182 enodes) 1540202460.891 * * [misc]simplify: iters left: 1 (317 enodes) 1540202460.987 * [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)))))) 1540202460.987 * [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)))))))) 1540202460.987 * * * * [misc]progress: [ 1876 / 6878 ] simplifiying candidate # 1540202460.987 * [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))))))) 1540202460.987 * * [misc]simplify: iters left: 6 (20 enodes) 1540202460.990 * * [misc]simplify: iters left: 5 (35 enodes) 1540202460.995 * * [misc]simplify: iters left: 4 (68 enodes) 1540202461.007 * * [misc]simplify: iters left: 3 (174 enodes) 1540202461.069 * [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)))))) 1540202461.069 * [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)))))))) 1540202461.069 * [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)))))) 1540202461.069 * * [misc]simplify: iters left: 6 (20 enodes) 1540202461.072 * * [misc]simplify: iters left: 5 (29 enodes) 1540202461.076 * * [misc]simplify: iters left: 4 (48 enodes) 1540202461.084 * * [misc]simplify: iters left: 3 (96 enodes) 1540202461.101 * * [misc]simplify: iters left: 2 (183 enodes) 1540202461.139 * * [misc]simplify: iters left: 1 (321 enodes) 1540202461.238 * [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)))))) 1540202461.238 * [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)))))))) 1540202461.238 * * * * [misc]progress: [ 1877 / 6878 ] simplifiying candidate # 1540202461.238 * [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)))))) 1540202461.238 * * [misc]simplify: iters left: 6 (19 enodes) 1540202461.241 * * [misc]simplify: iters left: 5 (32 enodes) 1540202461.246 * * [misc]simplify: iters left: 4 (59 enodes) 1540202461.255 * * [misc]simplify: iters left: 3 (96 enodes) 1540202461.271 * * [misc]simplify: iters left: 2 (261 enodes) 1540202461.392 * [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))))) 1540202461.392 * [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)))))))) 1540202461.392 * [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)))))) 1540202461.393 * * [misc]simplify: iters left: 6 (20 enodes) 1540202461.395 * * [misc]simplify: iters left: 5 (29 enodes) 1540202461.399 * * [misc]simplify: iters left: 4 (48 enodes) 1540202461.406 * * [misc]simplify: iters left: 3 (96 enodes) 1540202461.425 * * [misc]simplify: iters left: 2 (183 enodes) 1540202461.462 * * [misc]simplify: iters left: 1 (321 enodes) 1540202461.562 * [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)))))) 1540202461.562 * [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)))))))) 1540202461.562 * * * * [misc]progress: [ 1878 / 6878 ] simplifiying candidate # 1540202461.562 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202461.562 * * [misc]simplify: iters left: 6 (14 enodes) 1540202461.564 * * [misc]simplify: iters left: 5 (25 enodes) 1540202461.568 * * [misc]simplify: iters left: 4 (50 enodes) 1540202461.575 * * [misc]simplify: iters left: 3 (68 enodes) 1540202461.583 * * [misc]simplify: iters left: 2 (138 enodes) 1540202461.618 * * [misc]simplify: iters left: 1 (238 enodes) 1540202461.670 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202461.671 * [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))))))) 1540202461.671 * [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))))) 1540202461.671 * * [misc]simplify: iters left: 6 (19 enodes) 1540202461.673 * * [misc]simplify: iters left: 5 (28 enodes) 1540202461.677 * * [misc]simplify: iters left: 4 (47 enodes) 1540202461.684 * * [misc]simplify: iters left: 3 (95 enodes) 1540202461.701 * * [misc]simplify: iters left: 2 (182 enodes) 1540202461.740 * * [misc]simplify: iters left: 1 (317 enodes) 1540202461.836 * [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)))))) 1540202461.836 * [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)))))))) 1540202461.836 * * * * [misc]progress: [ 1879 / 6878 ] simplifiying candidate # 1540202461.836 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540202461.837 * * [misc]simplify: iters left: 6 (15 enodes) 1540202461.839 * * [misc]simplify: iters left: 5 (27 enodes) 1540202461.844 * * [misc]simplify: iters left: 4 (49 enodes) 1540202461.851 * * [misc]simplify: iters left: 3 (82 enodes) 1540202461.869 * * [misc]simplify: iters left: 2 (216 enodes) 1540202461.968 * * [misc]simplify: iters left: 1 (443 enodes) 1540202462.146 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202462.146 * [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))))))) 1540202462.146 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202462.146 * * [misc]simplify: iters left: 6 (18 enodes) 1540202462.149 * * [misc]simplify: iters left: 5 (27 enodes) 1540202462.152 * * [misc]simplify: iters left: 4 (46 enodes) 1540202462.159 * * [misc]simplify: iters left: 3 (94 enodes) 1540202462.177 * * [misc]simplify: iters left: 2 (181 enodes) 1540202462.215 * * [misc]simplify: iters left: 1 (323 enodes) 1540202462.316 * [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)))) 1540202462.316 * [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)))))) 1540202462.316 * * * * [misc]progress: [ 1880 / 6878 ] simplifiying candidate # 1540202462.316 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540202462.316 * * [misc]simplify: iters left: 6 (15 enodes) 1540202462.319 * * [misc]simplify: iters left: 5 (27 enodes) 1540202462.324 * * [misc]simplify: iters left: 4 (49 enodes) 1540202462.331 * * [misc]simplify: iters left: 3 (82 enodes) 1540202462.351 * * [misc]simplify: iters left: 2 (216 enodes) 1540202462.447 * * [misc]simplify: iters left: 1 (443 enodes) 1540202462.625 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540202462.625 * [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))))))) 1540202462.626 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202462.626 * * [misc]simplify: iters left: 6 (18 enodes) 1540202462.628 * * [misc]simplify: iters left: 5 (27 enodes) 1540202462.632 * * [misc]simplify: iters left: 4 (46 enodes) 1540202462.640 * * [misc]simplify: iters left: 3 (94 enodes) 1540202462.656 * * [misc]simplify: iters left: 2 (181 enodes) 1540202462.695 * * [misc]simplify: iters left: 1 (323 enodes) 1540202462.795 * [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)))) 1540202462.795 * [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)))))) 1540202462.795 * * * * [misc]progress: [ 1881 / 6878 ] simplifiying candidate # 1540202462.795 * [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))))))) 1540202462.795 * * [misc]simplify: iters left: 6 (19 enodes) 1540202462.798 * * [misc]simplify: iters left: 5 (34 enodes) 1540202462.804 * * [misc]simplify: iters left: 4 (65 enodes) 1540202462.815 * * [misc]simplify: iters left: 3 (125 enodes) 1540202462.846 * * [misc]simplify: iters left: 2 (398 enodes) 1540202463.186 * [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))))) 1540202463.186 * [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)))))))) 1540202463.186 * [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)))))) 1540202463.186 * * [misc]simplify: iters left: 6 (19 enodes) 1540202463.189 * * [misc]simplify: iters left: 5 (28 enodes) 1540202463.194 * * [misc]simplify: iters left: 4 (47 enodes) 1540202463.201 * * [misc]simplify: iters left: 3 (95 enodes) 1540202463.218 * * [misc]simplify: iters left: 2 (182 enodes) 1540202463.256 * * [misc]simplify: iters left: 1 (317 enodes) 1540202463.352 * [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)))))) 1540202463.352 * [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)))))))) 1540202463.353 * * * * [misc]progress: [ 1882 / 6878 ] simplifiying candidate # 1540202463.353 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202463.353 * * [misc]simplify: iters left: 6 (18 enodes) 1540202463.355 * * [misc]simplify: iters left: 5 (31 enodes) 1540202463.360 * * [misc]simplify: iters left: 4 (56 enodes) 1540202463.370 * * [misc]simplify: iters left: 3 (91 enodes) 1540202463.390 * * [misc]simplify: iters left: 2 (266 enodes) 1540202463.579 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202463.579 * [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)))))))) 1540202463.579 * [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)))))) 1540202463.579 * * [misc]simplify: iters left: 6 (19 enodes) 1540202463.582 * * [misc]simplify: iters left: 5 (28 enodes) 1540202463.587 * * [misc]simplify: iters left: 4 (47 enodes) 1540202463.594 * * [misc]simplify: iters left: 3 (95 enodes) 1540202463.611 * * [misc]simplify: iters left: 2 (182 enodes) 1540202463.649 * * [misc]simplify: iters left: 1 (317 enodes) 1540202463.745 * [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)))))) 1540202463.745 * [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)))))))) 1540202463.745 * * * * [misc]progress: [ 1883 / 6878 ] simplifiying candidate # 1540202463.746 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 1)) 1540202463.746 * * [misc]simplify: iters left: 6 (13 enodes) 1540202463.748 * * [misc]simplify: iters left: 5 (22 enodes) 1540202463.751 * * [misc]simplify: iters left: 4 (39 enodes) 1540202463.758 * * [misc]simplify: iters left: 3 (51 enodes) 1540202463.764 * * [misc]simplify: iters left: 2 (83 enodes) 1540202463.782 * * [misc]simplify: iters left: 1 (120 enodes) 1540202463.803 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1540202463.803 * [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))))))) 1540202463.803 * [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))))) 1540202463.803 * * [misc]simplify: iters left: 6 (18 enodes) 1540202463.806 * * [misc]simplify: iters left: 5 (27 enodes) 1540202463.809 * * [misc]simplify: iters left: 4 (46 enodes) 1540202463.816 * * [misc]simplify: iters left: 3 (94 enodes) 1540202463.834 * * [misc]simplify: iters left: 2 (181 enodes) 1540202463.872 * * [misc]simplify: iters left: 1 (323 enodes) 1540202463.972 * [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)))) 1540202463.972 * [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)))))) 1540202463.972 * * * * [misc]progress: [ 1884 / 6878 ] simplifiying candidate # 1540202463.972 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1) 1540202463.972 * * [misc]simplify: iters left: 6 (12 enodes) 1540202463.974 * * [misc]simplify: iters left: 5 (21 enodes) 1540202463.977 * * [misc]simplify: iters left: 4 (38 enodes) 1540202463.983 * * [misc]simplify: iters left: 3 (54 enodes) 1540202463.992 * * [misc]simplify: iters left: 2 (91 enodes) 1540202464.010 * * [misc]simplify: iters left: 1 (129 enodes) 1540202464.032 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202464.032 * [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))))))) 1540202464.032 * [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))))) 1540202464.032 * * [misc]simplify: iters left: 6 (18 enodes) 1540202464.035 * * [misc]simplify: iters left: 5 (27 enodes) 1540202464.038 * * [misc]simplify: iters left: 4 (46 enodes) 1540202464.045 * * [misc]simplify: iters left: 3 (94 enodes) 1540202464.062 * * [misc]simplify: iters left: 2 (181 enodes) 1540202464.100 * * [misc]simplify: iters left: 1 (323 enodes) 1540202464.201 * [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)))) 1540202464.201 * [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)))))) 1540202464.201 * * * * [misc]progress: [ 1885 / 6878 ] simplifiying candidate # 1540202464.201 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (sqrt (sqrt k))) 1540202464.201 * * [misc]simplify: iters left: 6 (12 enodes) 1540202464.203 * * [misc]simplify: iters left: 5 (21 enodes) 1540202464.206 * * [misc]simplify: iters left: 4 (39 enodes) 1540202464.212 * * [misc]simplify: iters left: 3 (82 enodes) 1540202464.233 * * [misc]simplify: iters left: 2 (262 enodes) 1540202464.329 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1540202464.329 * [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))))))) 1540202464.330 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202464.330 * * [misc]simplify: iters left: 6 (19 enodes) 1540202464.332 * * [misc]simplify: iters left: 5 (30 enodes) 1540202464.338 * * [misc]simplify: iters left: 4 (47 enodes) 1540202464.345 * * [misc]simplify: iters left: 3 (99 enodes) 1540202464.362 * * [misc]simplify: iters left: 2 (207 enodes) 1540202464.424 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540202464.424 * [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))))))) 1540202464.424 * * * * [misc]progress: [ 1886 / 6878 ] simplifiying candidate # 1540202464.424 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540202464.424 * * [misc]simplify: iters left: 6 (15 enodes) 1540202464.427 * * [misc]simplify: iters left: 5 (27 enodes) 1540202464.431 * * [misc]simplify: iters left: 4 (51 enodes) 1540202464.439 * * [misc]simplify: iters left: 3 (90 enodes) 1540202464.456 * * [misc]simplify: iters left: 2 (253 enodes) 1540202464.875 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202464.875 * [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))))) 1540202464.876 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540202464.876 * * [misc]simplify: iters left: 6 (17 enodes) 1540202464.878 * * [misc]simplify: iters left: 5 (24 enodes) 1540202464.881 * * [misc]simplify: iters left: 4 (35 enodes) 1540202464.886 * * [misc]simplify: iters left: 3 (50 enodes) 1540202464.892 * * [misc]simplify: iters left: 2 (67 enodes) 1540202464.900 * * [misc]simplify: iters left: 1 (84 enodes) 1540202464.912 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540202464.912 * [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))))))) 1540202464.912 * * * * [misc]progress: [ 1887 / 6878 ] simplifiying candidate # 1540202464.912 * [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))))))) 1540202464.912 * * [misc]simplify: iters left: 6 (21 enodes) 1540202464.915 * * [misc]simplify: iters left: 5 (32 enodes) 1540202464.919 * * [misc]simplify: iters left: 4 (53 enodes) 1540202464.929 * * [misc]simplify: iters left: 3 (88 enodes) 1540202464.942 * * [misc]simplify: iters left: 2 (135 enodes) 1540202464.965 * * [misc]simplify: iters left: 1 (201 enodes) 1540202465.003 * [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))))))) 1540202465.003 * [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)))))))) 1540202465.004 * [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)))))) 1540202465.004 * * [misc]simplify: iters left: 6 (20 enodes) 1540202465.006 * * [misc]simplify: iters left: 5 (27 enodes) 1540202465.010 * * [misc]simplify: iters left: 4 (38 enodes) 1540202465.015 * * [misc]simplify: iters left: 3 (53 enodes) 1540202465.021 * * [misc]simplify: iters left: 2 (70 enodes) 1540202465.030 * * [misc]simplify: iters left: 1 (87 enodes) 1540202465.042 * [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)))))) 1540202465.042 * [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)))))))) 1540202465.042 * * * * [misc]progress: [ 1888 / 6878 ] simplifiying candidate # 1540202465.042 * [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)))))) 1540202465.042 * * [misc]simplify: iters left: 6 (20 enodes) 1540202465.045 * * [misc]simplify: iters left: 5 (29 enodes) 1540202465.048 * * [misc]simplify: iters left: 4 (42 enodes) 1540202465.054 * * [misc]simplify: iters left: 3 (57 enodes) 1540202465.061 * * [misc]simplify: iters left: 2 (74 enodes) 1540202465.071 * * [misc]simplify: iters left: 1 (91 enodes) 1540202465.083 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202465.083 * [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)))))))) 1540202465.083 * [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)))))) 1540202465.083 * * [misc]simplify: iters left: 6 (20 enodes) 1540202465.085 * * [misc]simplify: iters left: 5 (27 enodes) 1540202465.089 * * [misc]simplify: iters left: 4 (38 enodes) 1540202465.094 * * [misc]simplify: iters left: 3 (53 enodes) 1540202465.100 * * [misc]simplify: iters left: 2 (70 enodes) 1540202465.109 * * [misc]simplify: iters left: 1 (87 enodes) 1540202465.122 * [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)))))) 1540202465.122 * [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)))))))) 1540202465.122 * * * * [misc]progress: [ 1889 / 6878 ] simplifiying candidate # 1540202465.122 * [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))) 1540202465.122 * * [misc]simplify: iters left: 6 (19 enodes) 1540202465.125 * * [misc]simplify: iters left: 5 (31 enodes) 1540202465.130 * * [misc]simplify: iters left: 4 (59 enodes) 1540202465.141 * * [misc]simplify: iters left: 3 (161 enodes) 1540202465.186 * * [misc]simplify: iters left: 2 (416 enodes) 1540202465.359 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202465.359 * [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))))))) 1540202465.360 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202465.360 * * [misc]simplify: iters left: 6 (18 enodes) 1540202465.362 * * [misc]simplify: iters left: 5 (26 enodes) 1540202465.365 * * [misc]simplify: iters left: 4 (44 enodes) 1540202465.372 * * [misc]simplify: iters left: 3 (92 enodes) 1540202465.389 * * [misc]simplify: iters left: 2 (179 enodes) 1540202465.427 * * [misc]simplify: iters left: 1 (315 enodes) 1540202465.525 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202465.526 * [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))))) 1540202465.526 * * * * [misc]progress: [ 1890 / 6878 ] simplifiying candidate # 1540202465.526 * [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))) 1540202465.526 * * [misc]simplify: iters left: 6 (19 enodes) 1540202465.529 * * [misc]simplify: iters left: 5 (31 enodes) 1540202465.534 * * [misc]simplify: iters left: 4 (59 enodes) 1540202465.544 * * [misc]simplify: iters left: 3 (161 enodes) 1540202465.590 * * [misc]simplify: iters left: 2 (416 enodes) 1540202465.764 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202465.764 * [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))))))) 1540202465.764 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202465.764 * * [misc]simplify: iters left: 6 (18 enodes) 1540202465.766 * * [misc]simplify: iters left: 5 (26 enodes) 1540202465.770 * * [misc]simplify: iters left: 4 (44 enodes) 1540202465.778 * * [misc]simplify: iters left: 3 (92 enodes) 1540202465.795 * * [misc]simplify: iters left: 2 (179 enodes) 1540202465.832 * * [misc]simplify: iters left: 1 (315 enodes) 1540202465.929 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202465.929 * [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))))) 1540202465.929 * * * * [misc]progress: [ 1891 / 6878 ] simplifiying candidate # 1540202465.929 * [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))))))) 1540202465.930 * * [misc]simplify: iters left: 6 (23 enodes) 1540202465.933 * * [misc]simplify: iters left: 5 (40 enodes) 1540202465.939 * * [misc]simplify: iters left: 4 (91 enodes) 1540202465.958 * * [misc]simplify: iters left: 3 (263 enodes) 1540202466.060 * [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)))))) 1540202466.060 * [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)))))))) 1540202466.060 * [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)))))) 1540202466.060 * * [misc]simplify: iters left: 6 (21 enodes) 1540202466.063 * * [misc]simplify: iters left: 5 (30 enodes) 1540202466.067 * * [misc]simplify: iters left: 4 (49 enodes) 1540202466.074 * * [misc]simplify: iters left: 3 (97 enodes) 1540202466.091 * * [misc]simplify: iters left: 2 (184 enodes) 1540202466.130 * * [misc]simplify: iters left: 1 (320 enodes) 1540202466.226 * [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)))))) 1540202466.226 * [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)))))))) 1540202466.226 * * * * [misc]progress: [ 1892 / 6878 ] simplifiying candidate # 1540202466.226 * [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)))))) 1540202466.226 * * [misc]simplify: iters left: 6 (22 enodes) 1540202466.230 * * [misc]simplify: iters left: 5 (35 enodes) 1540202466.235 * * [misc]simplify: iters left: 4 (66 enodes) 1540202466.246 * * [misc]simplify: iters left: 3 (168 enodes) 1540202466.291 * * [misc]simplify: iters left: 2 (418 enodes) 1540202466.468 * [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)))))) 1540202466.468 * [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)))))))) 1540202466.468 * [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)))))) 1540202466.468 * * [misc]simplify: iters left: 6 (21 enodes) 1540202466.471 * * [misc]simplify: iters left: 5 (30 enodes) 1540202466.475 * * [misc]simplify: iters left: 4 (49 enodes) 1540202466.482 * * [misc]simplify: iters left: 3 (97 enodes) 1540202466.499 * * [misc]simplify: iters left: 2 (184 enodes) 1540202466.538 * * [misc]simplify: iters left: 1 (320 enodes) 1540202466.636 * [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)))))) 1540202466.636 * [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)))))))) 1540202466.636 * * * * [misc]progress: [ 1893 / 6878 ] simplifiying candidate # 1540202466.636 * [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)) 1540202466.636 * * [misc]simplify: iters left: 6 (18 enodes) 1540202466.639 * * [misc]simplify: iters left: 5 (31 enodes) 1540202466.643 * * [misc]simplify: iters left: 4 (59 enodes) 1540202466.652 * * [misc]simplify: iters left: 3 (114 enodes) 1540202466.675 * * [misc]simplify: iters left: 2 (310 enodes) 1540202466.818 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202466.818 * [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))))))) 1540202466.818 * [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))))) 1540202466.818 * * [misc]simplify: iters left: 6 (20 enodes) 1540202466.821 * * [misc]simplify: iters left: 5 (29 enodes) 1540202466.825 * * [misc]simplify: iters left: 4 (48 enodes) 1540202466.832 * * [misc]simplify: iters left: 3 (96 enodes) 1540202466.850 * * [misc]simplify: iters left: 2 (183 enodes) 1540202466.888 * * [misc]simplify: iters left: 1 (325 enodes) 1540202466.989 * [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))))) 1540202466.989 * [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))))))) 1540202466.989 * * * * [misc]progress: [ 1894 / 6878 ] simplifiying candidate # 1540202466.989 * [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))) 1540202466.990 * * [misc]simplify: iters left: 6 (16 enodes) 1540202466.992 * * [misc]simplify: iters left: 5 (26 enodes) 1540202466.996 * * [misc]simplify: iters left: 4 (43 enodes) 1540202467.003 * * [misc]simplify: iters left: 3 (88 enodes) 1540202467.020 * * [misc]simplify: iters left: 2 (153 enodes) 1540202467.051 * * [misc]simplify: iters left: 1 (250 enodes) 1540202467.112 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540202467.112 * [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))))))) 1540202467.112 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202467.112 * * [misc]simplify: iters left: 6 (16 enodes) 1540202467.114 * * [misc]simplify: iters left: 5 (24 enodes) 1540202467.117 * * [misc]simplify: iters left: 4 (41 enodes) 1540202467.124 * * [misc]simplify: iters left: 3 (86 enodes) 1540202467.140 * * [misc]simplify: iters left: 2 (151 enodes) 1540202467.170 * * [misc]simplify: iters left: 1 (234 enodes) 1540202467.224 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202467.224 * [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)))))) 1540202467.225 * * * * [misc]progress: [ 1895 / 6878 ] simplifiying candidate # 1540202467.225 * [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))) 1540202467.225 * * [misc]simplify: iters left: 6 (16 enodes) 1540202467.228 * * [misc]simplify: iters left: 5 (26 enodes) 1540202467.232 * * [misc]simplify: iters left: 4 (43 enodes) 1540202467.239 * * [misc]simplify: iters left: 3 (88 enodes) 1540202467.255 * * [misc]simplify: iters left: 2 (153 enodes) 1540202467.286 * * [misc]simplify: iters left: 1 (250 enodes) 1540202467.347 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540202467.347 * [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))))))) 1540202467.347 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202467.347 * * [misc]simplify: iters left: 6 (16 enodes) 1540202467.349 * * [misc]simplify: iters left: 5 (24 enodes) 1540202467.353 * * [misc]simplify: iters left: 4 (41 enodes) 1540202467.359 * * [misc]simplify: iters left: 3 (86 enodes) 1540202467.375 * * [misc]simplify: iters left: 2 (151 enodes) 1540202467.405 * * [misc]simplify: iters left: 1 (234 enodes) 1540202467.459 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202467.459 * [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)))))) 1540202467.459 * * * * [misc]progress: [ 1896 / 6878 ] simplifiying candidate # 1540202467.460 * [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))))))) 1540202467.460 * * [misc]simplify: iters left: 6 (20 enodes) 1540202467.463 * * [misc]simplify: iters left: 5 (33 enodes) 1540202467.467 * * [misc]simplify: iters left: 4 (59 enodes) 1540202467.477 * * [misc]simplify: iters left: 3 (135 enodes) 1540202467.508 * * [misc]simplify: iters left: 2 (300 enodes) 1540202467.620 * [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)))))) 1540202467.620 * [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)))))))) 1540202467.621 * [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)))))) 1540202467.621 * * [misc]simplify: iters left: 6 (19 enodes) 1540202467.623 * * [misc]simplify: iters left: 5 (28 enodes) 1540202467.627 * * [misc]simplify: iters left: 4 (46 enodes) 1540202467.634 * * [misc]simplify: iters left: 3 (91 enodes) 1540202467.649 * * [misc]simplify: iters left: 2 (156 enodes) 1540202467.681 * * [misc]simplify: iters left: 1 (236 enodes) 1540202467.732 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202467.732 * [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)))))))) 1540202467.733 * * * * [misc]progress: [ 1897 / 6878 ] simplifiying candidate # 1540202467.733 * [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)))))) 1540202467.733 * * [misc]simplify: iters left: 6 (19 enodes) 1540202467.736 * * [misc]simplify: iters left: 5 (30 enodes) 1540202467.739 * * [misc]simplify: iters left: 4 (50 enodes) 1540202467.747 * * [misc]simplify: iters left: 3 (95 enodes) 1540202467.762 * * [misc]simplify: iters left: 2 (160 enodes) 1540202467.795 * * [misc]simplify: iters left: 1 (256 enodes) 1540202467.855 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202467.855 * [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)))))))) 1540202467.856 * [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)))))) 1540202467.856 * * [misc]simplify: iters left: 6 (19 enodes) 1540202467.858 * * [misc]simplify: iters left: 5 (28 enodes) 1540202467.862 * * [misc]simplify: iters left: 4 (46 enodes) 1540202467.869 * * [misc]simplify: iters left: 3 (91 enodes) 1540202467.884 * * [misc]simplify: iters left: 2 (156 enodes) 1540202467.916 * * [misc]simplify: iters left: 1 (236 enodes) 1540202467.967 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202467.967 * [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)))))))) 1540202467.967 * * * * [misc]progress: [ 1898 / 6878 ] simplifiying candidate # 1540202467.968 * [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)) 1540202467.968 * * [misc]simplify: iters left: 6 (15 enodes) 1540202467.970 * * [misc]simplify: iters left: 5 (25 enodes) 1540202467.973 * * [misc]simplify: iters left: 4 (42 enodes) 1540202467.980 * * [misc]simplify: iters left: 3 (71 enodes) 1540202467.994 * * [misc]simplify: iters left: 2 (138 enodes) 1540202468.028 * * [misc]simplify: iters left: 1 (249 enodes) 1540202468.112 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540202468.112 * [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))))))) 1540202468.112 * [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))))) 1540202468.112 * * [misc]simplify: iters left: 6 (18 enodes) 1540202468.115 * * [misc]simplify: iters left: 5 (27 enodes) 1540202468.118 * * [misc]simplify: iters left: 4 (45 enodes) 1540202468.126 * * [misc]simplify: iters left: 3 (90 enodes) 1540202468.141 * * [misc]simplify: iters left: 2 (155 enodes) 1540202468.171 * * [misc]simplify: iters left: 1 (239 enodes) 1540202468.225 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202468.225 * [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))))))) 1540202468.225 * * * * [misc]progress: [ 1899 / 6878 ] simplifiying candidate # 1540202468.225 * [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))) 1540202468.225 * * [misc]simplify: iters left: 6 (18 enodes) 1540202468.228 * * [misc]simplify: iters left: 5 (28 enodes) 1540202468.232 * * [misc]simplify: iters left: 4 (46 enodes) 1540202468.240 * * [misc]simplify: iters left: 3 (94 enodes) 1540202468.258 * * [misc]simplify: iters left: 2 (181 enodes) 1540202468.297 * * [misc]simplify: iters left: 1 (326 enodes) 1540202468.398 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202468.398 * [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))))))) 1540202468.399 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202468.400 * * [misc]simplify: iters left: 6 (18 enodes) 1540202468.402 * * [misc]simplify: iters left: 5 (26 enodes) 1540202468.405 * * [misc]simplify: iters left: 4 (44 enodes) 1540202468.413 * * [misc]simplify: iters left: 3 (92 enodes) 1540202468.430 * * [misc]simplify: iters left: 2 (179 enodes) 1540202468.467 * * [misc]simplify: iters left: 1 (315 enodes) 1540202468.564 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202468.564 * [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))))) 1540202468.564 * * * * [misc]progress: [ 1900 / 6878 ] simplifiying candidate # 1540202468.565 * [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))) 1540202468.565 * * [misc]simplify: iters left: 6 (18 enodes) 1540202468.568 * * [misc]simplify: iters left: 5 (28 enodes) 1540202468.572 * * [misc]simplify: iters left: 4 (46 enodes) 1540202468.579 * * [misc]simplify: iters left: 3 (94 enodes) 1540202468.598 * * [misc]simplify: iters left: 2 (181 enodes) 1540202468.636 * * [misc]simplify: iters left: 1 (326 enodes) 1540202468.737 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202468.737 * [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))))))) 1540202468.738 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202468.738 * * [misc]simplify: iters left: 6 (18 enodes) 1540202468.740 * * [misc]simplify: iters left: 5 (26 enodes) 1540202468.744 * * [misc]simplify: iters left: 4 (44 enodes) 1540202468.752 * * [misc]simplify: iters left: 3 (92 enodes) 1540202468.768 * * [misc]simplify: iters left: 2 (179 enodes) 1540202468.806 * * [misc]simplify: iters left: 1 (315 enodes) 1540202468.902 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202468.902 * [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))))) 1540202468.903 * * * * [misc]progress: [ 1901 / 6878 ] simplifiying candidate # 1540202468.903 * [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))))))) 1540202468.903 * * [misc]simplify: iters left: 6 (22 enodes) 1540202468.906 * * [misc]simplify: iters left: 5 (35 enodes) 1540202468.911 * * [misc]simplify: iters left: 4 (62 enodes) 1540202468.921 * * [misc]simplify: iters left: 3 (141 enodes) 1540202468.953 * * [misc]simplify: iters left: 2 (337 enodes) 1540202469.090 * [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)))))) 1540202469.090 * [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)))))))) 1540202469.090 * [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)))))) 1540202469.090 * * [misc]simplify: iters left: 6 (21 enodes) 1540202469.093 * * [misc]simplify: iters left: 5 (30 enodes) 1540202469.097 * * [misc]simplify: iters left: 4 (49 enodes) 1540202469.104 * * [misc]simplify: iters left: 3 (97 enodes) 1540202469.121 * * [misc]simplify: iters left: 2 (184 enodes) 1540202469.161 * * [misc]simplify: iters left: 1 (320 enodes) 1540202469.258 * [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)))))) 1540202469.258 * [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)))))))) 1540202469.258 * * * * [misc]progress: [ 1902 / 6878 ] simplifiying candidate # 1540202469.259 * [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)))))) 1540202469.259 * * [misc]simplify: iters left: 6 (21 enodes) 1540202469.261 * * [misc]simplify: iters left: 5 (32 enodes) 1540202469.266 * * [misc]simplify: iters left: 4 (53 enodes) 1540202469.273 * * [misc]simplify: iters left: 3 (101 enodes) 1540202469.290 * * [misc]simplify: iters left: 2 (188 enodes) 1540202469.330 * * [misc]simplify: iters left: 1 (324 enodes) 1540202469.427 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540202469.427 * [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)))))))) 1540202469.427 * [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)))))) 1540202469.427 * * [misc]simplify: iters left: 6 (21 enodes) 1540202469.430 * * [misc]simplify: iters left: 5 (30 enodes) 1540202469.434 * * [misc]simplify: iters left: 4 (49 enodes) 1540202469.441 * * [misc]simplify: iters left: 3 (97 enodes) 1540202469.458 * * [misc]simplify: iters left: 2 (184 enodes) 1540202469.497 * * [misc]simplify: iters left: 1 (320 enodes) 1540202469.594 * [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)))))) 1540202469.594 * [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)))))))) 1540202469.594 * * * * [misc]progress: [ 1903 / 6878 ] simplifiying candidate # 1540202469.594 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202469.595 * * [misc]simplify: iters left: 6 (17 enodes) 1540202469.597 * * [misc]simplify: iters left: 5 (28 enodes) 1540202469.601 * * [misc]simplify: iters left: 4 (48 enodes) 1540202469.608 * * [misc]simplify: iters left: 3 (74 enodes) 1540202469.618 * * [misc]simplify: iters left: 2 (131 enodes) 1540202469.648 * * [misc]simplify: iters left: 1 (235 enodes) 1540202469.709 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540202469.709 * [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))))))) 1540202469.709 * [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))))) 1540202469.709 * * [misc]simplify: iters left: 6 (20 enodes) 1540202469.712 * * [misc]simplify: iters left: 5 (29 enodes) 1540202469.716 * * [misc]simplify: iters left: 4 (48 enodes) 1540202469.723 * * [misc]simplify: iters left: 3 (96 enodes) 1540202469.740 * * [misc]simplify: iters left: 2 (183 enodes) 1540202469.778 * * [misc]simplify: iters left: 1 (325 enodes) 1540202469.879 * [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))))) 1540202469.879 * [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))))))) 1540202469.879 * * * * [misc]progress: [ 1904 / 6878 ] simplifiying candidate # 1540202469.879 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202469.880 * * [misc]simplify: iters left: 6 (18 enodes) 1540202469.883 * * [misc]simplify: iters left: 5 (30 enodes) 1540202469.887 * * [misc]simplify: iters left: 4 (50 enodes) 1540202469.895 * * [misc]simplify: iters left: 3 (117 enodes) 1540202469.920 * * [misc]simplify: iters left: 2 (262 enodes) 1540202470.013 * * [misc]simplify: iters left: 1 (425 enodes) 1540202470.130 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202470.131 * [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))))))) 1540202470.131 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202470.131 * * [misc]simplify: iters left: 6 (17 enodes) 1540202470.133 * * [misc]simplify: iters left: 5 (25 enodes) 1540202470.136 * * [misc]simplify: iters left: 4 (43 enodes) 1540202470.143 * * [misc]simplify: iters left: 3 (91 enodes) 1540202470.159 * * [misc]simplify: iters left: 2 (178 enodes) 1540202470.198 * * [misc]simplify: iters left: 1 (319 enodes) 1540202470.296 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202470.296 * [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))))))) 1540202470.296 * * * * [misc]progress: [ 1905 / 6878 ] simplifiying candidate # 1540202470.296 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202470.296 * * [misc]simplify: iters left: 6 (18 enodes) 1540202470.300 * * [misc]simplify: iters left: 5 (30 enodes) 1540202470.304 * * [misc]simplify: iters left: 4 (50 enodes) 1540202470.312 * * [misc]simplify: iters left: 3 (117 enodes) 1540202470.337 * * [misc]simplify: iters left: 2 (262 enodes) 1540202470.429 * * [misc]simplify: iters left: 1 (425 enodes) 1540202470.547 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202470.547 * [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))))))) 1540202470.547 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202470.547 * * [misc]simplify: iters left: 6 (17 enodes) 1540202470.549 * * [misc]simplify: iters left: 5 (25 enodes) 1540202470.553 * * [misc]simplify: iters left: 4 (43 enodes) 1540202470.559 * * [misc]simplify: iters left: 3 (91 enodes) 1540202470.577 * * [misc]simplify: iters left: 2 (178 enodes) 1540202470.613 * * [misc]simplify: iters left: 1 (319 enodes) 1540202470.711 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202470.711 * [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))))))) 1540202470.712 * * * * [misc]progress: [ 1906 / 6878 ] simplifiying candidate # 1540202470.712 * [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))))))) 1540202470.712 * * [misc]simplify: iters left: 6 (22 enodes) 1540202470.715 * * [misc]simplify: iters left: 5 (37 enodes) 1540202470.720 * * [misc]simplify: iters left: 4 (67 enodes) 1540202470.732 * * [misc]simplify: iters left: 3 (178 enodes) 1540202470.779 * * [misc]simplify: iters left: 2 (453 enodes) 1540202470.988 * [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))))) 1540202470.989 * [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)))))))) 1540202470.989 * [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)))))) 1540202470.989 * * [misc]simplify: iters left: 6 (20 enodes) 1540202470.992 * * [misc]simplify: iters left: 5 (29 enodes) 1540202470.995 * * [misc]simplify: iters left: 4 (48 enodes) 1540202471.002 * * [misc]simplify: iters left: 3 (96 enodes) 1540202471.019 * * [misc]simplify: iters left: 2 (183 enodes) 1540202471.059 * * [misc]simplify: iters left: 1 (325 enodes) 1540202471.162 * [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))))) 1540202471.162 * [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))))))) 1540202471.162 * * * * [misc]progress: [ 1907 / 6878 ] simplifiying candidate # 1540202471.162 * [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)))))) 1540202471.162 * * [misc]simplify: iters left: 6 (21 enodes) 1540202471.165 * * [misc]simplify: iters left: 5 (34 enodes) 1540202471.170 * * [misc]simplify: iters left: 4 (57 enodes) 1540202471.179 * * [misc]simplify: iters left: 3 (120 enodes) 1540202471.203 * * [misc]simplify: iters left: 2 (263 enodes) 1540202471.296 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202471.296 * [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)))))))) 1540202471.296 * [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)))))) 1540202471.296 * * [misc]simplify: iters left: 6 (20 enodes) 1540202471.299 * * [misc]simplify: iters left: 5 (29 enodes) 1540202471.303 * * [misc]simplify: iters left: 4 (48 enodes) 1540202471.309 * * [misc]simplify: iters left: 3 (96 enodes) 1540202471.328 * * [misc]simplify: iters left: 2 (183 enodes) 1540202471.365 * * [misc]simplify: iters left: 1 (325 enodes) 1540202471.467 * [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))))) 1540202471.467 * [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))))))) 1540202471.467 * * * * [misc]progress: [ 1908 / 6878 ] simplifiying candidate # 1540202471.467 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202471.467 * * [misc]simplify: iters left: 6 (16 enodes) 1540202471.470 * * [misc]simplify: iters left: 5 (27 enodes) 1540202471.473 * * [misc]simplify: iters left: 4 (35 enodes) 1540202471.479 * * [misc]simplify: iters left: 3 (57 enodes) 1540202471.488 * * [misc]simplify: iters left: 2 (86 enodes) 1540202471.507 * * [misc]simplify: iters left: 1 (142 enodes) 1540202471.551 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202471.552 * [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))))))) 1540202471.552 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202471.552 * * [misc]simplify: iters left: 6 (19 enodes) 1540202471.554 * * [misc]simplify: iters left: 5 (28 enodes) 1540202471.558 * * [misc]simplify: iters left: 4 (47 enodes) 1540202471.565 * * [misc]simplify: iters left: 3 (95 enodes) 1540202471.582 * * [misc]simplify: iters left: 2 (182 enodes) 1540202471.620 * * [misc]simplify: iters left: 1 (322 enodes) 1540202471.719 * [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)))))) 1540202471.720 * [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)))))))) 1540202471.720 * * * * [misc]progress: [ 1909 / 6878 ] simplifiying candidate # 1540202471.720 * [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))) 1540202471.720 * * [misc]simplify: iters left: 6 (18 enodes) 1540202471.723 * * [misc]simplify: iters left: 5 (28 enodes) 1540202471.727 * * [misc]simplify: iters left: 4 (46 enodes) 1540202471.734 * * [misc]simplify: iters left: 3 (94 enodes) 1540202471.752 * * [misc]simplify: iters left: 2 (181 enodes) 1540202471.792 * * [misc]simplify: iters left: 1 (326 enodes) 1540202471.894 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202471.894 * [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))))))) 1540202471.894 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202471.894 * * [misc]simplify: iters left: 6 (18 enodes) 1540202471.897 * * [misc]simplify: iters left: 5 (26 enodes) 1540202471.900 * * [misc]simplify: iters left: 4 (44 enodes) 1540202471.907 * * [misc]simplify: iters left: 3 (92 enodes) 1540202471.923 * * [misc]simplify: iters left: 2 (179 enodes) 1540202471.961 * * [misc]simplify: iters left: 1 (315 enodes) 1540202472.059 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202472.059 * [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))))) 1540202472.059 * * * * [misc]progress: [ 1910 / 6878 ] simplifiying candidate # 1540202472.060 * [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))) 1540202472.060 * * [misc]simplify: iters left: 6 (18 enodes) 1540202472.063 * * [misc]simplify: iters left: 5 (28 enodes) 1540202472.067 * * [misc]simplify: iters left: 4 (46 enodes) 1540202472.074 * * [misc]simplify: iters left: 3 (94 enodes) 1540202472.091 * * [misc]simplify: iters left: 2 (181 enodes) 1540202472.132 * * [misc]simplify: iters left: 1 (326 enodes) 1540202472.234 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202472.234 * [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))))))) 1540202472.234 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202472.234 * * [misc]simplify: iters left: 6 (18 enodes) 1540202472.237 * * [misc]simplify: iters left: 5 (26 enodes) 1540202472.240 * * [misc]simplify: iters left: 4 (44 enodes) 1540202472.247 * * [misc]simplify: iters left: 3 (92 enodes) 1540202472.263 * * [misc]simplify: iters left: 2 (179 enodes) 1540202472.301 * * [misc]simplify: iters left: 1 (315 enodes) 1540202472.399 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202472.400 * [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))))) 1540202472.400 * * * * [misc]progress: [ 1911 / 6878 ] simplifiying candidate # 1540202472.400 * [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))))))) 1540202472.400 * * [misc]simplify: iters left: 6 (22 enodes) 1540202472.403 * * [misc]simplify: iters left: 5 (35 enodes) 1540202472.408 * * [misc]simplify: iters left: 4 (62 enodes) 1540202472.417 * * [misc]simplify: iters left: 3 (141 enodes) 1540202472.449 * * [misc]simplify: iters left: 2 (337 enodes) 1540202472.586 * [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)))))) 1540202472.586 * [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)))))))) 1540202472.586 * [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)))))) 1540202472.586 * * [misc]simplify: iters left: 6 (21 enodes) 1540202472.589 * * [misc]simplify: iters left: 5 (30 enodes) 1540202472.593 * * [misc]simplify: iters left: 4 (49 enodes) 1540202472.600 * * [misc]simplify: iters left: 3 (97 enodes) 1540202472.619 * * [misc]simplify: iters left: 2 (184 enodes) 1540202472.656 * * [misc]simplify: iters left: 1 (320 enodes) 1540202472.753 * [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)))))) 1540202472.754 * [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)))))))) 1540202472.754 * * * * [misc]progress: [ 1912 / 6878 ] simplifiying candidate # 1540202472.754 * [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)))))) 1540202472.754 * * [misc]simplify: iters left: 6 (21 enodes) 1540202472.757 * * [misc]simplify: iters left: 5 (32 enodes) 1540202472.761 * * [misc]simplify: iters left: 4 (53 enodes) 1540202472.768 * * [misc]simplify: iters left: 3 (101 enodes) 1540202472.787 * * [misc]simplify: iters left: 2 (188 enodes) 1540202472.825 * * [misc]simplify: iters left: 1 (324 enodes) 1540202472.921 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540202472.922 * [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)))))))) 1540202472.922 * [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)))))) 1540202472.922 * * [misc]simplify: iters left: 6 (21 enodes) 1540202472.925 * * [misc]simplify: iters left: 5 (30 enodes) 1540202472.929 * * [misc]simplify: iters left: 4 (49 enodes) 1540202472.936 * * [misc]simplify: iters left: 3 (97 enodes) 1540202472.954 * * [misc]simplify: iters left: 2 (184 enodes) 1540202472.991 * * [misc]simplify: iters left: 1 (320 enodes) 1540202473.089 * [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)))))) 1540202473.089 * [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)))))))) 1540202473.089 * * * * [misc]progress: [ 1913 / 6878 ] simplifiying candidate # 1540202473.089 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202473.089 * * [misc]simplify: iters left: 6 (17 enodes) 1540202473.091 * * [misc]simplify: iters left: 5 (28 enodes) 1540202473.096 * * [misc]simplify: iters left: 4 (48 enodes) 1540202473.102 * * [misc]simplify: iters left: 3 (74 enodes) 1540202473.113 * * [misc]simplify: iters left: 2 (131 enodes) 1540202473.144 * * [misc]simplify: iters left: 1 (235 enodes) 1540202473.205 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540202473.205 * [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))))))) 1540202473.205 * [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))))) 1540202473.205 * * [misc]simplify: iters left: 6 (20 enodes) 1540202473.208 * * [misc]simplify: iters left: 5 (29 enodes) 1540202473.211 * * [misc]simplify: iters left: 4 (48 enodes) 1540202473.218 * * [misc]simplify: iters left: 3 (96 enodes) 1540202473.235 * * [misc]simplify: iters left: 2 (183 enodes) 1540202473.274 * * [misc]simplify: iters left: 1 (325 enodes) 1540202473.375 * [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))))) 1540202473.375 * [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))))))) 1540202473.376 * * * * [misc]progress: [ 1914 / 6878 ] simplifiying candidate # 1540202473.376 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202473.376 * * [misc]simplify: iters left: 6 (17 enodes) 1540202473.379 * * [misc]simplify: iters left: 5 (29 enodes) 1540202473.383 * * [misc]simplify: iters left: 4 (45 enodes) 1540202473.390 * * [misc]simplify: iters left: 3 (97 enodes) 1540202473.407 * * [misc]simplify: iters left: 2 (182 enodes) 1540202473.461 * * [misc]simplify: iters left: 1 (313 enodes) 1540202473.554 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202473.554 * [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))))))) 1540202473.554 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202473.554 * * [misc]simplify: iters left: 6 (17 enodes) 1540202473.556 * * [misc]simplify: iters left: 5 (25 enodes) 1540202473.560 * * [misc]simplify: iters left: 4 (43 enodes) 1540202473.566 * * [misc]simplify: iters left: 3 (91 enodes) 1540202473.583 * * [misc]simplify: iters left: 2 (178 enodes) 1540202473.621 * * [misc]simplify: iters left: 1 (319 enodes) 1540202473.719 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202473.719 * [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))))))) 1540202473.719 * * * * [misc]progress: [ 1915 / 6878 ] simplifiying candidate # 1540202473.720 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202473.720 * * [misc]simplify: iters left: 6 (17 enodes) 1540202473.723 * * [misc]simplify: iters left: 5 (29 enodes) 1540202473.727 * * [misc]simplify: iters left: 4 (45 enodes) 1540202473.734 * * [misc]simplify: iters left: 3 (97 enodes) 1540202473.751 * * [misc]simplify: iters left: 2 (182 enodes) 1540202473.804 * * [misc]simplify: iters left: 1 (313 enodes) 1540202473.897 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202473.897 * [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))))))) 1540202473.898 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202473.898 * * [misc]simplify: iters left: 6 (17 enodes) 1540202473.900 * * [misc]simplify: iters left: 5 (25 enodes) 1540202473.903 * * [misc]simplify: iters left: 4 (43 enodes) 1540202473.910 * * [misc]simplify: iters left: 3 (91 enodes) 1540202473.926 * * [misc]simplify: iters left: 2 (178 enodes) 1540202473.964 * * [misc]simplify: iters left: 1 (319 enodes) 1540202474.063 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202474.063 * [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))))))) 1540202474.063 * * * * [misc]progress: [ 1916 / 6878 ] simplifiying candidate # 1540202474.063 * [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))))))) 1540202474.063 * * [misc]simplify: iters left: 6 (21 enodes) 1540202474.066 * * [misc]simplify: iters left: 5 (36 enodes) 1540202474.071 * * [misc]simplify: iters left: 4 (61 enodes) 1540202474.082 * * [misc]simplify: iters left: 3 (155 enodes) 1540202474.118 * * [misc]simplify: iters left: 2 (370 enodes) 1540202474.284 * [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)))))) 1540202474.284 * [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)))))))) 1540202474.284 * [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)))))) 1540202474.284 * * [misc]simplify: iters left: 6 (20 enodes) 1540202474.287 * * [misc]simplify: iters left: 5 (29 enodes) 1540202474.291 * * [misc]simplify: iters left: 4 (48 enodes) 1540202474.298 * * [misc]simplify: iters left: 3 (96 enodes) 1540202474.314 * * [misc]simplify: iters left: 2 (183 enodes) 1540202474.353 * * [misc]simplify: iters left: 1 (325 enodes) 1540202474.456 * [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))))) 1540202474.456 * [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))))))) 1540202474.456 * * * * [misc]progress: [ 1917 / 6878 ] simplifiying candidate # 1540202474.456 * [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)))))) 1540202474.456 * * [misc]simplify: iters left: 6 (20 enodes) 1540202474.459 * * [misc]simplify: iters left: 5 (33 enodes) 1540202474.463 * * [misc]simplify: iters left: 4 (52 enodes) 1540202474.471 * * [misc]simplify: iters left: 3 (104 enodes) 1540202474.489 * * [misc]simplify: iters left: 2 (189 enodes) 1540202474.540 * * [misc]simplify: iters left: 1 (392 enodes) 1540202474.725 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202474.725 * [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)))))))) 1540202474.725 * [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)))))) 1540202474.725 * * [misc]simplify: iters left: 6 (20 enodes) 1540202474.728 * * [misc]simplify: iters left: 5 (29 enodes) 1540202474.732 * * [misc]simplify: iters left: 4 (48 enodes) 1540202474.739 * * [misc]simplify: iters left: 3 (96 enodes) 1540202474.756 * * [misc]simplify: iters left: 2 (183 enodes) 1540202474.795 * * [misc]simplify: iters left: 1 (325 enodes) 1540202474.897 * [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))))) 1540202474.897 * [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))))))) 1540202474.897 * * * * [misc]progress: [ 1918 / 6878 ] simplifiying candidate # 1540202474.897 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540202474.898 * * [misc]simplify: iters left: 6 (15 enodes) 1540202474.900 * * [misc]simplify: iters left: 5 (24 enodes) 1540202474.902 * * [misc]simplify: iters left: 4 (32 enodes) 1540202474.907 * * [misc]simplify: iters left: 3 (45 enodes) 1540202474.912 * * [misc]simplify: iters left: 2 (59 enodes) 1540202474.919 * * [misc]simplify: iters left: 1 (75 enodes) 1540202474.928 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202474.928 * [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))))))) 1540202474.928 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202474.929 * * [misc]simplify: iters left: 6 (19 enodes) 1540202474.931 * * [misc]simplify: iters left: 5 (28 enodes) 1540202474.935 * * [misc]simplify: iters left: 4 (47 enodes) 1540202474.942 * * [misc]simplify: iters left: 3 (95 enodes) 1540202474.960 * * [misc]simplify: iters left: 2 (182 enodes) 1540202474.998 * * [misc]simplify: iters left: 1 (322 enodes) 1540202475.097 * [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)))))) 1540202475.097 * [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)))))))) 1540202475.097 * * * * [misc]progress: [ 1919 / 6878 ] simplifiying candidate # 1540202475.097 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1) 1540202475.097 * * [misc]simplify: iters left: 6 (14 enodes) 1540202475.099 * * [misc]simplify: iters left: 5 (23 enodes) 1540202475.102 * * [misc]simplify: iters left: 4 (33 enodes) 1540202475.107 * * [misc]simplify: iters left: 3 (50 enodes) 1540202475.113 * * [misc]simplify: iters left: 2 (69 enodes) 1540202475.123 * * [misc]simplify: iters left: 1 (81 enodes) 1540202475.133 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202475.133 * [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))))))) 1540202475.133 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202475.133 * * [misc]simplify: iters left: 6 (19 enodes) 1540202475.136 * * [misc]simplify: iters left: 5 (28 enodes) 1540202475.140 * * [misc]simplify: iters left: 4 (47 enodes) 1540202475.146 * * [misc]simplify: iters left: 3 (95 enodes) 1540202475.163 * * [misc]simplify: iters left: 2 (182 enodes) 1540202475.202 * * [misc]simplify: iters left: 1 (322 enodes) 1540202475.301 * [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)))))) 1540202475.301 * [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)))))))) 1540202475.301 * * * * [misc]progress: [ 1920 / 6878 ] simplifiying candidate # 1540202475.301 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540202475.301 * * [misc]simplify: iters left: 6 (14 enodes) 1540202475.303 * * [misc]simplify: iters left: 5 (21 enodes) 1540202475.306 * * [misc]simplify: iters left: 4 (31 enodes) 1540202475.310 * * [misc]simplify: iters left: 3 (46 enodes) 1540202475.315 * * [misc]simplify: iters left: 2 (63 enodes) 1540202475.323 * * [misc]simplify: iters left: 1 (80 enodes) 1540202475.333 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202475.333 * [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))))))) 1540202475.334 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202475.334 * * [misc]simplify: iters left: 6 (19 enodes) 1540202475.336 * * [misc]simplify: iters left: 5 (30 enodes) 1540202475.340 * * [misc]simplify: iters left: 4 (47 enodes) 1540202475.348 * * [misc]simplify: iters left: 3 (99 enodes) 1540202475.366 * * [misc]simplify: iters left: 2 (206 enodes) 1540202475.425 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202475.425 * [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)))))) 1540202475.425 * * * * [misc]progress: [ 1921 / 6878 ] simplifiying candidate # 1540202475.425 * [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))) 1540202475.426 * * [misc]simplify: iters left: 6 (17 enodes) 1540202475.429 * * [misc]simplify: iters left: 5 (27 enodes) 1540202475.432 * * [misc]simplify: iters left: 4 (45 enodes) 1540202475.439 * * [misc]simplify: iters left: 3 (93 enodes) 1540202475.457 * * [misc]simplify: iters left: 2 (180 enodes) 1540202475.496 * * [misc]simplify: iters left: 1 (321 enodes) 1540202475.594 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) 1540202475.594 * [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))))) 1540202475.594 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202475.594 * * [misc]simplify: iters left: 6 (15 enodes) 1540202475.596 * * [misc]simplify: iters left: 5 (21 enodes) 1540202475.599 * * [misc]simplify: iters left: 4 (31 enodes) 1540202475.603 * * [misc]simplify: iters left: 3 (46 enodes) 1540202475.609 * * [misc]simplify: iters left: 2 (63 enodes) 1540202475.617 * * [misc]simplify: iters left: 1 (80 enodes) 1540202475.628 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202475.628 * [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)))))) 1540202475.628 * * * * [misc]progress: [ 1922 / 6878 ] simplifiying candidate # 1540202475.628 * [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))))))) 1540202475.628 * * [misc]simplify: iters left: 6 (21 enodes) 1540202475.631 * * [misc]simplify: iters left: 5 (32 enodes) 1540202475.635 * * [misc]simplify: iters left: 4 (53 enodes) 1540202475.643 * * [misc]simplify: iters left: 3 (88 enodes) 1540202475.657 * * [misc]simplify: iters left: 2 (135 enodes) 1540202475.680 * * [misc]simplify: iters left: 1 (201 enodes) 1540202475.718 * [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))))))) 1540202475.718 * [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)))))))) 1540202475.718 * [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)))))) 1540202475.719 * * [misc]simplify: iters left: 6 (20 enodes) 1540202475.721 * * [misc]simplify: iters left: 5 (27 enodes) 1540202475.725 * * [misc]simplify: iters left: 4 (38 enodes) 1540202475.729 * * [misc]simplify: iters left: 3 (53 enodes) 1540202475.736 * * [misc]simplify: iters left: 2 (70 enodes) 1540202475.745 * * [misc]simplify: iters left: 1 (87 enodes) 1540202475.757 * [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)))))) 1540202475.757 * [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)))))))) 1540202475.757 * * * * [misc]progress: [ 1923 / 6878 ] simplifiying candidate # 1540202475.757 * [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)))))) 1540202475.757 * * [misc]simplify: iters left: 6 (20 enodes) 1540202475.760 * * [misc]simplify: iters left: 5 (29 enodes) 1540202475.763 * * [misc]simplify: iters left: 4 (42 enodes) 1540202475.768 * * [misc]simplify: iters left: 3 (57 enodes) 1540202475.776 * * [misc]simplify: iters left: 2 (74 enodes) 1540202475.785 * * [misc]simplify: iters left: 1 (91 enodes) 1540202475.797 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540202475.797 * [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)))))))) 1540202475.797 * [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)))))) 1540202475.797 * * [misc]simplify: iters left: 6 (20 enodes) 1540202475.800 * * [misc]simplify: iters left: 5 (27 enodes) 1540202475.804 * * [misc]simplify: iters left: 4 (38 enodes) 1540202475.808 * * [misc]simplify: iters left: 3 (53 enodes) 1540202475.815 * * [misc]simplify: iters left: 2 (70 enodes) 1540202475.824 * * [misc]simplify: iters left: 1 (87 enodes) 1540202475.835 * [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)))))) 1540202475.835 * [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)))))))) 1540202475.836 * * * * [misc]progress: [ 1924 / 6878 ] simplifiying candidate # 1540202475.836 * [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))) 1540202475.836 * * [misc]simplify: iters left: 6 (19 enodes) 1540202475.839 * * [misc]simplify: iters left: 5 (31 enodes) 1540202475.845 * * [misc]simplify: iters left: 4 (59 enodes) 1540202475.855 * * [misc]simplify: iters left: 3 (161 enodes) 1540202475.899 * * [misc]simplify: iters left: 2 (416 enodes) 1540202476.073 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202476.073 * [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))))))) 1540202476.073 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202476.074 * * [misc]simplify: iters left: 6 (18 enodes) 1540202476.076 * * [misc]simplify: iters left: 5 (26 enodes) 1540202476.079 * * [misc]simplify: iters left: 4 (44 enodes) 1540202476.086 * * [misc]simplify: iters left: 3 (92 enodes) 1540202476.102 * * [misc]simplify: iters left: 2 (179 enodes) 1540202476.141 * * [misc]simplify: iters left: 1 (315 enodes) 1540202476.239 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202476.239 * [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))))) 1540202476.240 * * * * [misc]progress: [ 1925 / 6878 ] simplifiying candidate # 1540202476.240 * [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))) 1540202476.240 * * [misc]simplify: iters left: 6 (19 enodes) 1540202476.243 * * [misc]simplify: iters left: 5 (31 enodes) 1540202476.248 * * [misc]simplify: iters left: 4 (59 enodes) 1540202476.259 * * [misc]simplify: iters left: 3 (161 enodes) 1540202476.304 * * [misc]simplify: iters left: 2 (416 enodes) 1540202476.478 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202476.478 * [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))))))) 1540202476.478 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202476.478 * * [misc]simplify: iters left: 6 (18 enodes) 1540202476.480 * * [misc]simplify: iters left: 5 (26 enodes) 1540202476.484 * * [misc]simplify: iters left: 4 (44 enodes) 1540202476.490 * * [misc]simplify: iters left: 3 (92 enodes) 1540202476.509 * * [misc]simplify: iters left: 2 (179 enodes) 1540202476.545 * * [misc]simplify: iters left: 1 (315 enodes) 1540202476.643 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202476.643 * [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))))) 1540202476.643 * * * * [misc]progress: [ 1926 / 6878 ] simplifiying candidate # 1540202476.643 * [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))))))) 1540202476.644 * * [misc]simplify: iters left: 6 (23 enodes) 1540202476.647 * * [misc]simplify: iters left: 5 (40 enodes) 1540202476.653 * * [misc]simplify: iters left: 4 (91 enodes) 1540202476.672 * * [misc]simplify: iters left: 3 (263 enodes) 1540202476.772 * [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)))))) 1540202476.773 * [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)))))))) 1540202476.773 * [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)))))) 1540202476.773 * * [misc]simplify: iters left: 6 (21 enodes) 1540202476.776 * * [misc]simplify: iters left: 5 (30 enodes) 1540202476.780 * * [misc]simplify: iters left: 4 (49 enodes) 1540202476.788 * * [misc]simplify: iters left: 3 (97 enodes) 1540202476.805 * * [misc]simplify: iters left: 2 (184 enodes) 1540202476.843 * * [misc]simplify: iters left: 1 (320 enodes) 1540202476.940 * [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)))))) 1540202476.940 * [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)))))))) 1540202476.940 * * * * [misc]progress: [ 1927 / 6878 ] simplifiying candidate # 1540202476.940 * [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)))))) 1540202476.940 * * [misc]simplify: iters left: 6 (22 enodes) 1540202476.943 * * [misc]simplify: iters left: 5 (35 enodes) 1540202476.948 * * [misc]simplify: iters left: 4 (66 enodes) 1540202476.960 * * [misc]simplify: iters left: 3 (168 enodes) 1540202477.004 * * [misc]simplify: iters left: 2 (418 enodes) 1540202477.182 * [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)))))) 1540202477.182 * [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)))))))) 1540202477.182 * [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)))))) 1540202477.182 * * [misc]simplify: iters left: 6 (21 enodes) 1540202477.185 * * [misc]simplify: iters left: 5 (30 enodes) 1540202477.189 * * [misc]simplify: iters left: 4 (49 enodes) 1540202477.196 * * [misc]simplify: iters left: 3 (97 enodes) 1540202477.213 * * [misc]simplify: iters left: 2 (184 enodes) 1540202477.252 * * [misc]simplify: iters left: 1 (320 enodes) 1540202477.350 * [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)))))) 1540202477.350 * [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)))))))) 1540202477.350 * * * * [misc]progress: [ 1928 / 6878 ] simplifiying candidate # 1540202477.350 * [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)) 1540202477.350 * * [misc]simplify: iters left: 6 (18 enodes) 1540202477.353 * * [misc]simplify: iters left: 5 (31 enodes) 1540202477.358 * * [misc]simplify: iters left: 4 (59 enodes) 1540202477.367 * * [misc]simplify: iters left: 3 (114 enodes) 1540202477.390 * * [misc]simplify: iters left: 2 (310 enodes) 1540202477.533 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540202477.533 * [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))))))) 1540202477.533 * [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))))) 1540202477.533 * * [misc]simplify: iters left: 6 (20 enodes) 1540202477.536 * * [misc]simplify: iters left: 5 (29 enodes) 1540202477.540 * * [misc]simplify: iters left: 4 (48 enodes) 1540202477.547 * * [misc]simplify: iters left: 3 (96 enodes) 1540202477.563 * * [misc]simplify: iters left: 2 (183 enodes) 1540202477.602 * * [misc]simplify: iters left: 1 (325 enodes) 1540202477.704 * [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))))) 1540202477.704 * [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))))))) 1540202477.704 * * * * [misc]progress: [ 1929 / 6878 ] simplifiying candidate # 1540202477.704 * [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))) 1540202477.704 * * [misc]simplify: iters left: 6 (16 enodes) 1540202477.707 * * [misc]simplify: iters left: 5 (26 enodes) 1540202477.711 * * [misc]simplify: iters left: 4 (43 enodes) 1540202477.718 * * [misc]simplify: iters left: 3 (88 enodes) 1540202477.733 * * [misc]simplify: iters left: 2 (153 enodes) 1540202477.766 * * [misc]simplify: iters left: 1 (250 enodes) 1540202477.827 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540202477.827 * [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))))))) 1540202477.827 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202477.827 * * [misc]simplify: iters left: 6 (16 enodes) 1540202477.829 * * [misc]simplify: iters left: 5 (24 enodes) 1540202477.833 * * [misc]simplify: iters left: 4 (41 enodes) 1540202477.839 * * [misc]simplify: iters left: 3 (86 enodes) 1540202477.854 * * [misc]simplify: iters left: 2 (151 enodes) 1540202477.885 * * [misc]simplify: iters left: 1 (234 enodes) 1540202477.939 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202477.939 * [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)))))) 1540202477.939 * * * * [misc]progress: [ 1930 / 6878 ] simplifiying candidate # 1540202477.940 * [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))) 1540202477.940 * * [misc]simplify: iters left: 6 (16 enodes) 1540202477.943 * * [misc]simplify: iters left: 5 (26 enodes) 1540202477.946 * * [misc]simplify: iters left: 4 (43 enodes) 1540202477.953 * * [misc]simplify: iters left: 3 (88 enodes) 1540202477.969 * * [misc]simplify: iters left: 2 (153 enodes) 1540202478.001 * * [misc]simplify: iters left: 1 (250 enodes) 1540202478.062 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540202478.062 * [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))))))) 1540202478.062 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202478.062 * * [misc]simplify: iters left: 6 (16 enodes) 1540202478.064 * * [misc]simplify: iters left: 5 (24 enodes) 1540202478.067 * * [misc]simplify: iters left: 4 (41 enodes) 1540202478.074 * * [misc]simplify: iters left: 3 (86 enodes) 1540202478.089 * * [misc]simplify: iters left: 2 (151 enodes) 1540202478.120 * * [misc]simplify: iters left: 1 (234 enodes) 1540202478.174 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540202478.174 * [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)))))) 1540202478.174 * * * * [misc]progress: [ 1931 / 6878 ] simplifiying candidate # 1540202478.174 * [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))))))) 1540202478.175 * * [misc]simplify: iters left: 6 (20 enodes) 1540202478.177 * * [misc]simplify: iters left: 5 (33 enodes) 1540202478.182 * * [misc]simplify: iters left: 4 (59 enodes) 1540202478.191 * * [misc]simplify: iters left: 3 (135 enodes) 1540202478.222 * * [misc]simplify: iters left: 2 (300 enodes) 1540202478.335 * [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)))))) 1540202478.335 * [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)))))))) 1540202478.335 * [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)))))) 1540202478.335 * * [misc]simplify: iters left: 6 (19 enodes) 1540202478.338 * * [misc]simplify: iters left: 5 (28 enodes) 1540202478.342 * * [misc]simplify: iters left: 4 (46 enodes) 1540202478.348 * * [misc]simplify: iters left: 3 (91 enodes) 1540202478.364 * * [misc]simplify: iters left: 2 (156 enodes) 1540202478.395 * * [misc]simplify: iters left: 1 (236 enodes) 1540202478.447 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540202478.447 * [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)))))))) 1540202478.447 * * * * [misc]progress: [ 1932 / 6878 ] simplifiying candidate # 1540202478.447 * [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)))))) 1540202478.447 * * [misc]simplify: iters left: 6 (19 enodes) 1540202478.450 * * [misc]simplify: iters left: 5 (30 enodes) 1540202478.454 * * [misc]simplify: iters left: 4 (50 enodes) 1540202478.461 * * [misc]simplify: iters left: 3 (95 enodes) 1540202478.477 * * [misc]simplify: iters left: 2 (160 enodes) 1540202478.509 * * [misc]simplify: iters left: 1 (256 enodes) 1540202478.569 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202478.570 * [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)))))))) 1540202478.570 * [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)))))) 1540202478.570 * * [misc]simplify: iters left: 6 (19 enodes) 1540202478.572 * * [misc]simplify: iters left: 5 (28 enodes) 1540202478.576 * * [misc]simplify: iters left: 4 (46 enodes) 1540202478.583 * * [misc]simplify: iters left: 3 (91 enodes) 1540202478.598 * * [misc]simplify: iters left: 2 (156 enodes) 1540202478.630 * * [misc]simplify: iters left: 1 (236 enodes) 1540202478.682 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540202478.682 * [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)))))))) 1540202478.682 * * * * [misc]progress: [ 1933 / 6878 ] simplifiying candidate # 1540202478.682 * [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)) 1540202478.682 * * [misc]simplify: iters left: 6 (15 enodes) 1540202478.684 * * [misc]simplify: iters left: 5 (25 enodes) 1540202478.688 * * [misc]simplify: iters left: 4 (42 enodes) 1540202478.694 * * [misc]simplify: iters left: 3 (71 enodes) 1540202478.708 * * [misc]simplify: iters left: 2 (138 enodes) 1540202478.742 * * [misc]simplify: iters left: 1 (249 enodes) 1540202478.826 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540202478.826 * [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))))))) 1540202478.826 * [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))))) 1540202478.826 * * [misc]simplify: iters left: 6 (18 enodes) 1540202478.828 * * [misc]simplify: iters left: 5 (27 enodes) 1540202478.832 * * [misc]simplify: iters left: 4 (45 enodes) 1540202478.839 * * [misc]simplify: iters left: 3 (90 enodes) 1540202478.855 * * [misc]simplify: iters left: 2 (155 enodes) 1540202478.885 * * [misc]simplify: iters left: 1 (239 enodes) 1540202478.939 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202478.939 * [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))))))) 1540202478.939 * * * * [misc]progress: [ 1934 / 6878 ] simplifiying candidate # 1540202478.939 * [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))) 1540202478.939 * * [misc]simplify: iters left: 6 (18 enodes) 1540202478.942 * * [misc]simplify: iters left: 5 (28 enodes) 1540202478.946 * * [misc]simplify: iters left: 4 (46 enodes) 1540202478.954 * * [misc]simplify: iters left: 3 (94 enodes) 1540202478.972 * * [misc]simplify: iters left: 2 (181 enodes) 1540202479.010 * * [misc]simplify: iters left: 1 (326 enodes) 1540202479.112 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202479.112 * [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))))))) 1540202479.113 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202479.113 * * [misc]simplify: iters left: 6 (18 enodes) 1540202479.115 * * [misc]simplify: iters left: 5 (26 enodes) 1540202479.119 * * [misc]simplify: iters left: 4 (44 enodes) 1540202479.125 * * [misc]simplify: iters left: 3 (92 enodes) 1540202479.143 * * [misc]simplify: iters left: 2 (179 enodes) 1540202479.180 * * [misc]simplify: iters left: 1 (315 enodes) 1540202479.278 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202479.278 * [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))))) 1540202479.278 * * * * [misc]progress: [ 1935 / 6878 ] simplifiying candidate # 1540202479.278 * [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))) 1540202479.278 * * [misc]simplify: iters left: 6 (18 enodes) 1540202479.281 * * [misc]simplify: iters left: 5 (28 enodes) 1540202479.285 * * [misc]simplify: iters left: 4 (46 enodes) 1540202479.293 * * [misc]simplify: iters left: 3 (94 enodes) 1540202479.311 * * [misc]simplify: iters left: 2 (181 enodes) 1540202479.350 * * [misc]simplify: iters left: 1 (326 enodes) 1540202479.452 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202479.452 * [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))))))) 1540202479.452 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202479.452 * * [misc]simplify: iters left: 6 (18 enodes) 1540202479.454 * * [misc]simplify: iters left: 5 (26 enodes) 1540202479.458 * * [misc]simplify: iters left: 4 (44 enodes) 1540202479.464 * * [misc]simplify: iters left: 3 (92 enodes) 1540202479.482 * * [misc]simplify: iters left: 2 (179 enodes) 1540202479.519 * * [misc]simplify: iters left: 1 (315 enodes) 1540202479.617 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202479.617 * [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))))) 1540202479.617 * * * * [misc]progress: [ 1936 / 6878 ] simplifiying candidate # 1540202479.617 * [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))))))) 1540202479.617 * * [misc]simplify: iters left: 6 (22 enodes) 1540202479.620 * * [misc]simplify: iters left: 5 (35 enodes) 1540202479.625 * * [misc]simplify: iters left: 4 (62 enodes) 1540202479.635 * * [misc]simplify: iters left: 3 (141 enodes) 1540202479.667 * * [misc]simplify: iters left: 2 (337 enodes) 1540202479.804 * [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)))))) 1540202479.805 * [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)))))))) 1540202479.805 * [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)))))) 1540202479.805 * * [misc]simplify: iters left: 6 (21 enodes) 1540202479.808 * * [misc]simplify: iters left: 5 (30 enodes) 1540202479.812 * * [misc]simplify: iters left: 4 (49 enodes) 1540202479.819 * * [misc]simplify: iters left: 3 (97 enodes) 1540202479.836 * * [misc]simplify: iters left: 2 (184 enodes) 1540202479.874 * * [misc]simplify: iters left: 1 (320 enodes) 1540202479.971 * [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)))))) 1540202479.971 * [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)))))))) 1540202479.971 * * * * [misc]progress: [ 1937 / 6878 ] simplifiying candidate # 1540202479.972 * [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)))))) 1540202479.972 * * [misc]simplify: iters left: 6 (21 enodes) 1540202479.974 * * [misc]simplify: iters left: 5 (32 enodes) 1540202479.979 * * [misc]simplify: iters left: 4 (53 enodes) 1540202479.986 * * [misc]simplify: iters left: 3 (101 enodes) 1540202480.004 * * [misc]simplify: iters left: 2 (188 enodes) 1540202480.043 * * [misc]simplify: iters left: 1 (324 enodes) 1540202480.139 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540202480.139 * [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)))))))) 1540202480.139 * [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)))))) 1540202480.139 * * [misc]simplify: iters left: 6 (21 enodes) 1540202480.142 * * [misc]simplify: iters left: 5 (30 enodes) 1540202480.146 * * [misc]simplify: iters left: 4 (49 enodes) 1540202480.153 * * [misc]simplify: iters left: 3 (97 enodes) 1540202480.170 * * [misc]simplify: iters left: 2 (184 enodes) 1540202480.209 * * [misc]simplify: iters left: 1 (320 enodes) 1540202480.305 * [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)))))) 1540202480.305 * [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)))))))) 1540202480.305 * * * * [misc]progress: [ 1938 / 6878 ] simplifiying candidate # 1540202480.305 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202480.305 * * [misc]simplify: iters left: 6 (17 enodes) 1540202480.308 * * [misc]simplify: iters left: 5 (28 enodes) 1540202480.313 * * [misc]simplify: iters left: 4 (48 enodes) 1540202480.320 * * [misc]simplify: iters left: 3 (74 enodes) 1540202480.330 * * [misc]simplify: iters left: 2 (131 enodes) 1540202480.360 * * [misc]simplify: iters left: 1 (235 enodes) 1540202480.420 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540202480.420 * [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))))))) 1540202480.420 * [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))))) 1540202480.420 * * [misc]simplify: iters left: 6 (20 enodes) 1540202480.423 * * [misc]simplify: iters left: 5 (29 enodes) 1540202480.427 * * [misc]simplify: iters left: 4 (48 enodes) 1540202480.435 * * [misc]simplify: iters left: 3 (96 enodes) 1540202480.452 * * [misc]simplify: iters left: 2 (183 enodes) 1540202480.491 * * [misc]simplify: iters left: 1 (325 enodes) 1540202480.591 * [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))))) 1540202480.591 * [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))))))) 1540202480.591 * * * * [misc]progress: [ 1939 / 6878 ] simplifiying candidate # 1540202480.591 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202480.591 * * [misc]simplify: iters left: 6 (18 enodes) 1540202480.595 * * [misc]simplify: iters left: 5 (30 enodes) 1540202480.600 * * [misc]simplify: iters left: 4 (50 enodes) 1540202480.608 * * [misc]simplify: iters left: 3 (117 enodes) 1540202480.633 * * [misc]simplify: iters left: 2 (262 enodes) 1540202480.726 * * [misc]simplify: iters left: 1 (425 enodes) 1540202480.843 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202480.843 * [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))))))) 1540202480.843 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202480.844 * * [misc]simplify: iters left: 6 (17 enodes) 1540202480.846 * * [misc]simplify: iters left: 5 (25 enodes) 1540202480.849 * * [misc]simplify: iters left: 4 (43 enodes) 1540202480.856 * * [misc]simplify: iters left: 3 (91 enodes) 1540202480.872 * * [misc]simplify: iters left: 2 (178 enodes) 1540202480.910 * * [misc]simplify: iters left: 1 (319 enodes) 1540202481.009 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202481.009 * [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))))))) 1540202481.009 * * * * [misc]progress: [ 1940 / 6878 ] simplifiying candidate # 1540202481.009 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540202481.009 * * [misc]simplify: iters left: 6 (18 enodes) 1540202481.012 * * [misc]simplify: iters left: 5 (30 enodes) 1540202481.016 * * [misc]simplify: iters left: 4 (50 enodes) 1540202481.025 * * [misc]simplify: iters left: 3 (117 enodes) 1540202481.050 * * [misc]simplify: iters left: 2 (262 enodes) 1540202481.142 * * [misc]simplify: iters left: 1 (425 enodes) 1540202481.260 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202481.260 * [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))))))) 1540202481.260 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202481.260 * * [misc]simplify: iters left: 6 (17 enodes) 1540202481.262 * * [misc]simplify: iters left: 5 (25 enodes) 1540202481.266 * * [misc]simplify: iters left: 4 (43 enodes) 1540202481.272 * * [misc]simplify: iters left: 3 (91 enodes) 1540202481.288 * * [misc]simplify: iters left: 2 (178 enodes) 1540202481.327 * * [misc]simplify: iters left: 1 (319 enodes) 1540202481.425 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202481.425 * [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))))))) 1540202481.425 * * * * [misc]progress: [ 1941 / 6878 ] simplifiying candidate # 1540202481.426 * [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))))))) 1540202481.426 * * [misc]simplify: iters left: 6 (22 enodes) 1540202481.429 * * [misc]simplify: iters left: 5 (37 enodes) 1540202481.434 * * [misc]simplify: iters left: 4 (67 enodes) 1540202481.446 * * [misc]simplify: iters left: 3 (178 enodes) 1540202481.493 * * [misc]simplify: iters left: 2 (453 enodes) 1540202481.704 * [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))))) 1540202481.704 * [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)))))))) 1540202481.704 * [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)))))) 1540202481.704 * * [misc]simplify: iters left: 6 (20 enodes) 1540202481.707 * * [misc]simplify: iters left: 5 (29 enodes) 1540202481.711 * * [misc]simplify: iters left: 4 (48 enodes) 1540202481.718 * * [misc]simplify: iters left: 3 (96 enodes) 1540202481.734 * * [misc]simplify: iters left: 2 (183 enodes) 1540202481.774 * * [misc]simplify: iters left: 1 (325 enodes) 1540202481.877 * [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))))) 1540202481.877 * [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))))))) 1540202481.877 * * * * [misc]progress: [ 1942 / 6878 ] simplifiying candidate # 1540202481.877 * [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)))))) 1540202481.877 * * [misc]simplify: iters left: 6 (21 enodes) 1540202481.881 * * [misc]simplify: iters left: 5 (34 enodes) 1540202481.885 * * [misc]simplify: iters left: 4 (57 enodes) 1540202481.894 * * [misc]simplify: iters left: 3 (120 enodes) 1540202481.917 * * [misc]simplify: iters left: 2 (263 enodes) 1540202482.010 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540202482.010 * [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)))))))) 1540202482.011 * [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)))))) 1540202482.011 * * [misc]simplify: iters left: 6 (20 enodes) 1540202482.013 * * [misc]simplify: iters left: 5 (29 enodes) 1540202482.017 * * [misc]simplify: iters left: 4 (48 enodes) 1540202482.024 * * [misc]simplify: iters left: 3 (96 enodes) 1540202482.042 * * [misc]simplify: iters left: 2 (183 enodes) 1540202482.080 * * [misc]simplify: iters left: 1 (325 enodes) 1540202482.182 * [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))))) 1540202482.182 * [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))))))) 1540202482.182 * * * * [misc]progress: [ 1943 / 6878 ] simplifiying candidate # 1540202482.182 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540202482.183 * * [misc]simplify: iters left: 6 (16 enodes) 1540202482.186 * * [misc]simplify: iters left: 5 (27 enodes) 1540202482.189 * * [misc]simplify: iters left: 4 (35 enodes) 1540202482.193 * * [misc]simplify: iters left: 3 (57 enodes) 1540202482.201 * * [misc]simplify: iters left: 2 (86 enodes) 1540202482.222 * * [misc]simplify: iters left: 1 (142 enodes) 1540202482.266 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202482.266 * [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))))))) 1540202482.266 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202482.266 * * [misc]simplify: iters left: 6 (19 enodes) 1540202482.269 * * [misc]simplify: iters left: 5 (28 enodes) 1540202482.273 * * [misc]simplify: iters left: 4 (47 enodes) 1540202482.280 * * [misc]simplify: iters left: 3 (95 enodes) 1540202482.297 * * [misc]simplify: iters left: 2 (182 enodes) 1540202482.335 * * [misc]simplify: iters left: 1 (322 enodes) 1540202482.433 * [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)))))) 1540202482.433 * [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)))))))) 1540202482.433 * * * * [misc]progress: [ 1944 / 6878 ] simplifiying candidate # 1540202482.434 * [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))) 1540202482.434 * * [misc]simplify: iters left: 6 (18 enodes) 1540202482.438 * * [misc]simplify: iters left: 5 (28 enodes) 1540202482.442 * * [misc]simplify: iters left: 4 (46 enodes) 1540202482.449 * * [misc]simplify: iters left: 3 (94 enodes) 1540202482.466 * * [misc]simplify: iters left: 2 (181 enodes) 1540202482.506 * * [misc]simplify: iters left: 1 (326 enodes) 1540202482.608 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202482.608 * [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))))))) 1540202482.608 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202482.608 * * [misc]simplify: iters left: 6 (18 enodes) 1540202482.611 * * [misc]simplify: iters left: 5 (26 enodes) 1540202482.614 * * [misc]simplify: iters left: 4 (44 enodes) 1540202482.621 * * [misc]simplify: iters left: 3 (92 enodes) 1540202482.637 * * [misc]simplify: iters left: 2 (179 enodes) 1540202482.675 * * [misc]simplify: iters left: 1 (315 enodes) 1540202482.773 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202482.773 * [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))))) 1540202482.773 * * * * [misc]progress: [ 1945 / 6878 ] simplifiying candidate # 1540202482.773 * [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))) 1540202482.773 * * [misc]simplify: iters left: 6 (18 enodes) 1540202482.776 * * [misc]simplify: iters left: 5 (28 enodes) 1540202482.780 * * [misc]simplify: iters left: 4 (46 enodes) 1540202482.788 * * [misc]simplify: iters left: 3 (94 enodes) 1540202482.805 * * [misc]simplify: iters left: 2 (181 enodes) 1540202482.844 * * [misc]simplify: iters left: 1 (326 enodes) 1540202482.946 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540202482.946 * [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))))))) 1540202482.947 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540202482.947 * * [misc]simplify: iters left: 6 (18 enodes) 1540202482.949 * * [misc]simplify: iters left: 5 (26 enodes) 1540202482.953 * * [misc]simplify: iters left: 4 (44 enodes) 1540202482.959 * * [misc]simplify: iters left: 3 (92 enodes) 1540202482.976 * * [misc]simplify: iters left: 2 (179 enodes) 1540202483.014 * * [misc]simplify: iters left: 1 (315 enodes) 1540202483.112 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540202483.112 * [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))))) 1540202483.112 * * * * [misc]progress: [ 1946 / 6878 ] simplifiying candidate # 1540202483.112 * [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))))))) 1540202483.112 * * [misc]simplify: iters left: 6 (22 enodes) 1540202483.115 * * [misc]simplify: iters left: 5 (35 enodes) 1540202483.120 * * [misc]simplify: iters left: 4 (62 enodes) 1540202483.130 * * [misc]simplify: iters left: 3 (141 enodes) 1540202483.161 * * [misc]simplify: iters left: 2 (337 enodes) 1540202483.298 * [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)))))) 1540202483.298 * [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)))))))) 1540202483.298 * [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)))))) 1540202483.298 * * [misc]simplify: iters left: 6 (21 enodes) 1540202483.301 * * [misc]simplify: iters left: 5 (30 enodes) 1540202483.305 * * [misc]simplify: iters left: 4 (49 enodes) 1540202483.312 * * [misc]simplify: iters left: 3 (97 enodes) 1540202483.329 * * [misc]simplify: iters left: 2 (184 enodes) 1540202483.368 * * [misc]simplify: iters left: 1 (320 enodes) 1540202483.466 * [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)))))) 1540202483.466 * [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)))))))) 1540202483.466 * * * * [misc]progress: [ 1947 / 6878 ] simplifiying candidate # 1540202483.466 * [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)))))) 1540202483.466 * * [misc]simplify: iters left: 6 (21 enodes) 1540202483.469 * * [misc]simplify: iters left: 5 (32 enodes) 1540202483.473 * * [misc]simplify: iters left: 4 (53 enodes) 1540202483.480 * * [misc]simplify: iters left: 3 (101 enodes) 1540202483.498 * * [misc]simplify: iters left: 2 (188 enodes) 1540202483.537 * * [misc]simplify: iters left: 1 (324 enodes) 1540202483.634 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540202483.634 * [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)))))))) 1540202483.634 * [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)))))) 1540202483.634 * * [misc]simplify: iters left: 6 (21 enodes) 1540202483.637 * * [misc]simplify: iters left: 5 (30 enodes) 1540202483.641 * * [misc]simplify: iters left: 4 (49 enodes) 1540202483.648 * * [misc]simplify: iters left: 3 (97 enodes) 1540202483.665 * * [misc]simplify: iters left: 2 (184 enodes) 1540202483.703 * * [misc]simplify: iters left: 1 (320 enodes) 1540202483.801 * [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)))))) 1540202483.801 * [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)))))))) 1540202483.801 * * * * [misc]progress: [ 1948 / 6878 ] simplifiying candidate # 1540202483.801 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540202483.801 * * [misc]simplify: iters left: 6 (17 enodes) 1540202483.804 * * [misc]simplify: iters left: 5 (28 enodes) 1540202483.808 * * [misc]simplify: iters left: 4 (48 enodes) 1540202483.815 * * [misc]simplify: iters left: 3 (74 enodes) 1540202483.825 * * [misc]simplify: iters left: 2 (131 enodes) 1540202483.856 * * [misc]simplify: iters left: 1 (235 enodes) 1540202483.916 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540202483.916 * [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))))))) 1540202483.917 * [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))))) 1540202483.917 * * [misc]simplify: iters left: 6 (20 enodes) 1540202483.919 * * [misc]simplify: iters left: 5 (29 enodes) 1540202483.923 * * [misc]simplify: iters left: 4 (48 enodes) 1540202483.930 * * [misc]simplify: iters left: 3 (96 enodes) 1540202483.947 * * [misc]simplify: iters left: 2 (183 enodes) 1540202483.986 * * [misc]simplify: iters left: 1 (325 enodes) 1540202484.087 * [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))))) 1540202484.088 * [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))))))) 1540202484.088 * * * * [misc]progress: [ 1949 / 6878 ] simplifiying candidate # 1540202484.088 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202484.088 * * [misc]simplify: iters left: 6 (17 enodes) 1540202484.091 * * [misc]simplify: iters left: 5 (29 enodes) 1540202484.095 * * [misc]simplify: iters left: 4 (45 enodes) 1540202484.102 * * [misc]simplify: iters left: 3 (97 enodes) 1540202484.119 * * [misc]simplify: iters left: 2 (182 enodes) 1540202484.173 * * [misc]simplify: iters left: 1 (313 enodes) 1540202484.267 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202484.267 * [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))))))) 1540202484.267 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202484.267 * * [misc]simplify: iters left: 6 (17 enodes) 1540202484.269 * * [misc]simplify: iters left: 5 (25 enodes) 1540202484.273 * * [misc]simplify: iters left: 4 (43 enodes) 1540202484.279 * * [misc]simplify: iters left: 3 (91 enodes) 1540202484.296 * * [misc]simplify: iters left: 2 (178 enodes) 1540202484.336 * * [misc]simplify: iters left: 1 (319 enodes) 1540202484.434 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202484.435 * [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))))))) 1540202484.435 * * * * [misc]progress: [ 1950 / 6878 ] simplifiying candidate # 1540202484.435 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540202484.435 * * [misc]simplify: iters left: 6 (17 enodes) 1540202484.438 * * [misc]simplify: iters left: 5 (29 enodes) 1540202484.442 * * [misc]simplify: iters left: 4 (45 enodes) 1540202484.449 * * [misc]simplify: iters left: 3 (97 enodes) 1540202484.466 * * [misc]simplify: iters left: 2 (182 enodes) 1540202484.520 * * [misc]simplify: iters left: 1 (313 enodes) 1540202484.613 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540202484.613 * [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))))))) 1540202484.613 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540202484.613 * * [misc]simplify: iters left: 6 (17 enodes) 1540202484.616 * * [misc]simplify: iters left: 5 (25 enodes) 1540202484.619 * * [misc]simplify: iters left: 4 (43 enodes) 1540202484.625 * * [misc]simplify: iters left: 3 (91 enodes) 1540202484.642 * * [misc]simplify: iters left: 2 (178 enodes) 1540202484.680 * * [misc]simplify: iters left: 1 (319 enodes) 1540202484.779 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540202484.779 * [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))))))) 1540202484.779 * * * * [misc]progress: [ 1951 / 6878 ] simplifiying candidate # 1540202484.779 * [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))))))) 1540202484.779 * * [misc]simplify: iters left: 6 (21 enodes) 1540202484.782 * * [misc]simplify: iters left: 5 (36 enodes) 1540202484.787 * * [misc]simplify: iters left: 4 (61 enodes) 1540202484.797 * * [misc]simplify: iters left: 3 (155 enodes) 1540202484.833 * * [misc]simplify: iters left: 2 (370 enodes) 1540202484.999 * [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)))))) 1540202484.999 * [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)))))))) 1540202484.999 * [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)))))) 1540202484.999 * * [misc]simplify: iters left: 6 (20 enodes) 1540202485.002 * * [misc]simplify: iters left: 5 (29 enodes) 1540202485.006 * * [misc]simplify: iters left: 4 (48 enodes) 1540202485.013 * * [misc]simplify: iters left: 3 (96 enodes) 1540202485.030 * * [misc]simplify: iters left: 2 (183 enodes) 1540202485.068 * * [misc]simplify: iters left: 1 (325 enodes) 1540202485.170 * [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))))) 1540202485.170 * [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))))))) 1540202485.170 * * * * [misc]progress: [ 1952 / 6878 ] simplifiying candidate # 1540202485.171 * [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)))))) 1540202485.171 * * [misc]simplify: iters left: 6 (20 enodes) 1540202485.173 * * [misc]simplify: iters left: 5 (33 enodes) 1540202485.178 * * [misc]simplify: iters left: 4 (52 enodes) 1540202485.185 * * [misc]simplify: iters left: 3 (104 enodes) 1540202485.203 * * [misc]simplify: iters left: 2 (189 enodes) 1540202485.254 * * [misc]simplify: iters left: 1 (392 enodes) 1540202485.439 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540202485.439 * [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)))))))) 1540202485.439 * [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)))))) 1540202485.439 * * [misc]simplify: iters left: 6 (20 enodes) 1540202485.443 * * [misc]simplify: iters left: 5 (29 enodes) 1540202485.447 * * [misc]simplify: iters left: 4 (48 enodes) 1540202485.454 * * [misc]simplify: iters left: 3 (96 enodes) 1540202485.471 * * [misc]simplify: iters left: 2 (183 enodes) 1540202485.509 * * [misc]simplify: iters left: 1 (325 enodes) 1540202485.611 * [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))))) 1540202485.611 * [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))))))) 1540202485.611 * * * * [misc]progress: [ 1953 / 6878 ] simplifiying candidate # 1540202485.612 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540202485.612 * * [misc]simplify: iters left: 6 (15 enodes) 1540202485.614 * * [misc]simplify: iters left: 5 (24 enodes) 1540202485.617 * * [misc]simplify: iters left: 4 (32 enodes) 1540202485.621 * * [misc]simplify: iters left: 3 (45 enodes) 1540202485.626 * * [misc]simplify: iters left: 2 (59 enodes) 1540202485.634 * * [misc]simplify: iters left: 1 (75 enodes) 1540202485.643 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202485.643 * [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))))))) 1540202485.643 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202485.643 * * [misc]simplify: iters left: 6 (19 enodes) 1540202485.646 * * [misc]simplify: iters left: 5 (28 enodes) 1540202485.649 * * [misc]simplify: iters left: 4 (47 enodes) 1540202485.656 * * [misc]simplify: iters left: 3 (95 enodes) 1540202485.673 * * [misc]simplify: iters left: 2 (182 enodes) 1540202485.711 * * [misc]simplify: iters left: 1 (322 enodes) 1540202485.810 * [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)))))) 1540202485.810 * [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)))))))) 1540202485.810 * * * * [misc]progress: [ 1954 / 6878 ] simplifiying candidate # 1540202485.811 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1) 1540202485.811 * * [misc]simplify: iters left: 6 (14 enodes) 1540202485.813 * * [misc]simplify: iters left: 5 (23 enodes) 1540202485.815 * * [misc]simplify: iters left: 4 (33 enodes) 1540202485.820 * * [misc]simplify: iters left: 3 (50 enodes) 1540202485.827 * * [misc]simplify: iters left: 2 (69 enodes) 1540202485.836 * * [misc]simplify: iters left: 1 (81 enodes) 1540202485.847 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540202485.847 * [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))))))) 1540202485.847 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540202485.847 * * [misc]simplify: iters left: 6 (19 enodes) 1540202485.849 * * [misc]simplify: iters left: 5 (28 enodes) 1540202485.853 * * [misc]simplify: iters left: 4 (47 enodes) 1540202485.860 * * [misc]simplify: iters left: 3 (95 enodes) 1540202485.877 * * [misc]simplify: iters left: 2 (182 enodes) 1540202485.915 * * [misc]simplify: iters left: 1 (322 enodes) 1540202486.014 * [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)))))) 1540202486.014 * [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)))))))) 1540202486.014 * * * * [misc]progress: [ 1955 / 6878 ] simplifiying candidate # 1540202486.014 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540202486.015 * * [misc]simplify: iters left: 6 (14 enodes) 1540202486.016 * * [misc]simplify: iters left: 5 (21 enodes) 1540202486.019 * * [misc]simplify: iters left: 4 (31 enodes) 1540202486.023 * * [misc]simplify: iters left: 3 (46 enodes) 1540202486.029 * * [misc]simplify: iters left: 2 (63 enodes) 1540202486.037 * * [misc]simplify: iters left: 1 (80 enodes) 1540202486.047 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540202486.047 * [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))))))) 1540202486.047 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540202486.047 * * [misc]simplify: iters left: 6 (19 enodes) 1540202486.050 * * [misc]simplify: iters left: 5 (30 enodes) 1540202486.054 * * [misc]simplify: iters left: 4 (47 enodes) 1540202486.061 * * [misc]simplify: iters left: 3 (99 enodes) 1540202486.079 * * [misc]simplify: iters left: 2 (206 enodes) 1540202486.137 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540202486.138 * [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)))))) 1540202486.138 * * * * [misc]progress: [ 1956 / 6878 ] simplifiying candidate # 1540202486.138 * [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))) 1540202486.138 * * [misc]simplify: iters left: 6 (17 enodes) 1540202486.141 * * [misc]simplify: iters left: 5 (27 enodes) 1540202486.145 * * [misc]simplify: iters left: 4 (45 enodes) 1540202486.152 * * [misc]simplify: iters left: 3 (93 enodes) 1540202486.169 * * [misc]simplify: iters left: 2 (180 enodes) 1540202486.208 * * [misc]simplify: iters left: 1 (321 enodes) 1540202486.305 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) 1540202486.305 * [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))))) 1540202486.305 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540202486.305 * * [misc]simplify: iters left: 6 (15 enodes) 1540202486.307 * * [misc]simplify: iters left: 5 (21 enodes) 1540202486.311 * * [misc]simplify: iters left: 4 (31 enodes) 1540202486.315 * * [misc]simplify: iters left: 3 (46 enodes) 1540202486.321 * * [misc]simplify: iters left: 2 (63 enodes) 1540202486.329 * * [misc]simplify: iters left: 1 (80 enodes) 1540202486.340 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540202486.340 * [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)))))) 1540202486.340 * * * * [misc]progress: [ 1957 / 6878 ] simplifiying candidate # 1540202486.340 * [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))))))) 1540202486.341 * * [misc]simplify: iters left: 6 (23 enodes) 1540202486.344 * * [misc]simplify: iters left: 5 (35 enodes) 1540202486.348 * * [misc]simplify: iters left: 4 (60 enodes) 1540202486.357 * * [misc]simplify: iters left: 3 (125 enodes) 1540202486.382 * * [misc]simplify: iters left: 2 (253 enodes) 1540202486.468 * [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)))))) 1540202486.468 * [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)))))))) 1540202486.468 * [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)))))) 1540202486.468 * * [misc]simplify: iters left: 6 (21 enodes) 1540202486.471 * * [misc]simplify: iters left: 5 (28 enodes) 1540202486.474 * * [misc]simplify: iters left: 4 (39 enodes) 1540202486.479 * * [misc]simplify: iters left: 3 (54 enodes) 1540202486.486 * * [misc]simplify: iters left: 2 (71 enodes) 1540202486.496 * * [misc]simplify: iters left: 1 (88 enodes) 1540202486.508 * [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)))))) 1540202486.508 * [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)))))))) 1540202486.508 * * * * [misc]progress: [ 1958 / 6878 ] simplifiying candidate # 1540202486.508 * [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)))))) 1540202486.508 * * [misc]simplify: iters left: 6 (22 enodes) 1540202486.511 * * [misc]simplify: iters left: 5 (32 enodes) 1540202486.515 * * [misc]simplify: iters left: 4 (49 enodes) 1540202486.522 * * [misc]simplify: iters left: 3 (83 enodes) 1540202486.535 * * [misc]simplify: iters left: 2 (136 enodes) 1540202486.559 * * [misc]simplify: iters left: 1 (207 enodes) 1540202486.604 * [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)))))) 1540202486.604 * [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)))))))) 1540202486.605 * [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)))))) 1540202486.605 * * [misc]simplify: iters left: 6 (21 enodes) 1540202486.608 * * [misc]simplify: iters left: 5 (28 enodes) 1540202486.612 * * [misc]simplify: iters left: 4 (39 enodes) 1540202486.617 * * [misc]simplify: iters left: 3 (54 enodes) 1540202486.624 * * [misc]simplify: iters left: 2 (71 enodes) 1540202486.633 * * [misc]simplify: iters left: 1 (88 enodes) 1540202486.644 * [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)))))) 1540202486.644 * [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)))))))) 1540202486.644 * * * * [misc]progress: [ 1959 / 6878 ] simplifiying candidate # 1540202486.645 * [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))) 1540202486.645 * * [misc]simplify: iters left: 6 (23 enodes) 1540202486.649 * * [misc]simplify: iters left: 5 (38 enodes) 1540202486.654 * * [misc]simplify: iters left: 4 (73 enodes) 1540202486.668 * * [misc]simplify: iters left: 3 (218 enodes) 1540202486.754 * [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)))))) 1540202486.754 * [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))))))) 1540202486.754 * [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))))) 1540202486.754 * * [misc]simplify: iters left: 6 (21 enodes) 1540202486.757 * * [misc]simplify: iters left: 5 (30 enodes) 1540202486.761 * * [misc]simplify: iters left: 4 (49 enodes) 1540202486.768 * * [misc]simplify: iters left: 3 (97 enodes) 1540202486.785 * * [misc]simplify: iters left: 2 (184 enodes) 1540202486.825 * * [misc]simplify: iters left: 1 (323 enodes) 1540202486.924 * [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)))) 1540202486.924 * [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)))))) 1540202486.924 * * * * [misc]progress: [ 1960 / 6878 ] simplifiying candidate # 1540202486.924 * [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))) 1540202486.924 * * [misc]simplify: iters left: 6 (23 enodes) 1540202486.928 * * [misc]simplify: iters left: 5 (38 enodes) 1540202486.934 * * [misc]simplify: iters left: 4 (73 enodes) 1540202486.948 * * [misc]simplify: iters left: 3 (218 enodes) 1540202487.035 * [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)))))) 1540202487.035 * [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))))))) 1540202487.035 * [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))))) 1540202487.035 * * [misc]simplify: iters left: 6 (21 enodes) 1540202487.038 * * [misc]simplify: iters left: 5 (30 enodes) 1540202487.042 * * [misc]simplify: iters left: 4 (49 enodes) 1540202487.049 * * [misc]simplify: iters left: 3 (97 enodes) 1540202487.066 * * [misc]simplify: iters left: 2 (184 enodes) 1540202487.105 * * [misc]simplify: iters left: 1 (323 enodes) 1540202487.205 * [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)))) 1540202487.205 * [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)))))) 1540202487.205 * * * * [misc]progress: [ 1961 / 6878 ] simplifiying candidate # 1540202487.205 * [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))))))) 1540202487.205 * * [misc]simplify: iters left: 6 (25 enodes) 1540202487.209 * * [misc]simplify: iters left: 5 (43 enodes) 1540202487.215 * * [misc]simplify: iters left: 4 (98 enodes) 1540202487.236 * * [misc]simplify: iters left: 3 (326 enodes) 1540202487.409 * [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))))))) 1540202487.409 * [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)))))))) 1540202487.409 * [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)))))) 1540202487.409 * * [misc]simplify: iters left: 6 (22 enodes) 1540202487.412 * * [misc]simplify: iters left: 5 (31 enodes) 1540202487.416 * * [misc]simplify: iters left: 4 (50 enodes) 1540202487.423 * * [misc]simplify: iters left: 3 (98 enodes) 1540202487.442 * * [misc]simplify: iters left: 2 (185 enodes) 1540202487.479 * * [misc]simplify: iters left: 1 (321 enodes) 1540202487.576 * [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)))))) 1540202487.576 * [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)))))))) 1540202487.576 * * * * [misc]progress: [ 1962 / 6878 ] simplifiying candidate # 1540202487.576 * [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)))))) 1540202487.576 * * [misc]simplify: iters left: 6 (24 enodes) 1540202487.580 * * [misc]simplify: iters left: 5 (38 enodes) 1540202487.585 * * [misc]simplify: iters left: 4 (73 enodes) 1540202487.598 * * [misc]simplify: iters left: 3 (218 enodes) 1540202487.689 * [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))))))) 1540202487.689 * [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)))))))) 1540202487.689 * [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)))))) 1540202487.689 * * [misc]simplify: iters left: 6 (22 enodes) 1540202487.692 * * [misc]simplify: iters left: 5 (31 enodes) 1540202487.696 * * [misc]simplify: iters left: 4 (50 enodes) 1540202487.703 * * [misc]simplify: iters left: 3 (98 enodes) 1540202487.722 * * [misc]simplify: iters left: 2 (185 enodes) 1540202487.759 * * [misc]simplify: iters left: 1 (321 enodes) 1540202487.856 * [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)))))) 1540202487.856 * [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)))))))) 1540202487.857 * * * * [misc]progress: [ 1963 / 6878 ] simplifiying candidate # 1540202487.857 * [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)) 1540202487.857 * * [misc]simplify: iters left: 6 (23 enodes) 1540202487.860 * * [misc]simplify: iters left: 5 (39 enodes) 1540202487.866 * * [misc]simplify: iters left: 4 (74 enodes) 1540202487.879 * * [misc]simplify: iters left: 3 (214 enodes) 1540202487.966 * [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)))))) 1540202487.966 * [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))))))) 1540202487.966 * [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))))) 1540202487.966 * * [misc]simplify: iters left: 6 (21 enodes) 1540202487.969 * * [misc]simplify: iters left: 5 (30 enodes) 1540202487.973 * * [misc]simplify: iters left: 4 (49 enodes) 1540202487.980 * * [misc]simplify: iters left: 3 (97 enodes) 1540202487.997 * * [misc]simplify: iters left: 2 (184 enodes) 1540202488.036 * * [misc]simplify: iters left: 1 (323 enodes) 1540202488.135 * [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))))) 1540202488.135 * [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))))))) 1540202488.136 * * * * [misc]progress: [ 1964 / 6878 ] simplifiying candidate # 1540202488.136 * [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))) 1540202488.136 * * [misc]simplify: iters left: 6 (20 enodes) 1540202488.139 * * [misc]simplify: iters left: 5 (33 enodes) 1540202488.144 * * [misc]simplify: iters left: 4 (57 enodes) 1540202488.154 * * [misc]simplify: iters left: 3 (130 enodes) 1540202488.182 * * [misc]simplify: iters left: 2 (284 enodes) 1540202488.280 * [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)))))) 1540202488.280 * [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))))))) 1540202488.280 * [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))))) 1540202488.280 * * [misc]simplify: iters left: 6 (19 enodes) 1540202488.283 * * [misc]simplify: iters left: 5 (28 enodes) 1540202488.287 * * [misc]simplify: iters left: 4 (46 enodes) 1540202488.293 * * [misc]simplify: iters left: 3 (91 enodes) 1540202488.310 * * [misc]simplify: iters left: 2 (156 enodes) 1540202488.341 * * [misc]simplify: iters left: 1 (240 enodes) 1540202488.397 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202488.397 * [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))))) 1540202488.397 * * * * [misc]progress: [ 1965 / 6878 ] simplifiying candidate # 1540202488.397 * [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))) 1540202488.397 * * [misc]simplify: iters left: 6 (20 enodes) 1540202488.401 * * [misc]simplify: iters left: 5 (33 enodes) 1540202488.406 * * [misc]simplify: iters left: 4 (57 enodes) 1540202488.415 * * [misc]simplify: iters left: 3 (130 enodes) 1540202488.445 * * [misc]simplify: iters left: 2 (284 enodes) 1540202488.542 * [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)))))) 1540202488.543 * [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))))))) 1540202488.544 * [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))))) 1540202488.544 * * [misc]simplify: iters left: 6 (19 enodes) 1540202488.546 * * [misc]simplify: iters left: 5 (28 enodes) 1540202488.550 * * [misc]simplify: iters left: 4 (46 enodes) 1540202488.557 * * [misc]simplify: iters left: 3 (91 enodes) 1540202488.572 * * [misc]simplify: iters left: 2 (156 enodes) 1540202488.604 * * [misc]simplify: iters left: 1 (240 enodes) 1540202488.660 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540202488.660 * [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))))) 1540202488.660 * * * * [misc]progress: [ 1966 / 6878 ] simplifiying candidate # 1540202488.660 * [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))))))) 1540202488.660 * * [misc]simplify: iters left: 6 (22 enodes) 1540202488.663 * * [misc]simplify: iters left: 5 (36 enodes) 1540202488.669 * * [misc]simplify: iters left: 4 (66 enodes) 1540202488.680 * * [misc]simplify: iters left: 3 (175 enodes) 1540202488.729 * * [misc]simplify: iters left: 2 (491 enodes) 1540202489.035 * [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))))))) 1540202489.035 * [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)))))))) 1540202489.035 * [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)))))) 1540202489.035 * * [misc]simplify: iters left: 6 (20 enodes) 1540202489.038 * * [misc]simplify: iters left: 5 (29 enodes) 1540202489.042 * * [misc]simplify: iters left: 4 (47 enodes) 1540202489.049 * * [misc]simplify: iters left: 3 (92 enodes) 1540202489.064 * * [misc]simplify: iters left: 2 (157 enodes) 1540202489.096 * * [misc]simplify: iters left: 1 (237 enodes) 1540202489.149 * [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)))))) 1540202489.149 * [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)))))))) 1540202489.149 * * * * [misc]progress: [ 1967 / 6878 ] simplifiying candidate # 1540202489.149 * [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)))))) 1540202489.149 * * [misc]simplify: iters left: 6 (21 enodes) 1540202489.152 * * [misc]simplify: iters left: 5 (33 enodes) 1540202489.157 * * [misc]simplify: iters left: 4 (57 enodes) 1540202489.166 * * [misc]simplify: iters left: 3 (130 enodes) 1540202489.195 * * [misc]simplify: iters left: 2 (290 enodes) 1540202489.293 * [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)))))) 1540202489.293 * [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)))))))) 1540202489.293 * [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)))))) 1540202489.293 * * [misc]simplify: iters left: 6 (20 enodes) 1540202489.296 * * [misc]simplify: iters left: 5 (29 enodes) 1540202489.300 * * [misc]simplify: iters left: 4 (47 enodes) 1540202489.308 * * [misc]simplify: iters left: 3 (92 enodes) 1540202489.324 * * [misc]simplify: iters left: 2 (157 enodes) 1540202489.354 * * [misc]simplify: iters left: 1 (237 enodes) 1540202489.406 * [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)))))) 1540202489.406 * [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)))))))) 1540202489.407 * * * * [misc]progress: [ 1968 / 6878 ] simplifiying candidate # 1540202489.407 * [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)) 1540202489.407 * * [misc]simplify: iters left: 6 (20 enodes) 1540202489.410 * * [misc]simplify: iters left: 5 (33 enodes) 1540202489.415 * * [misc]simplify: iters left: 4 (59 enodes) 1540202489.425 * * [misc]simplify: iters left: 3 (125 enodes) 1540202489.453 * * [misc]simplify: iters left: 2 (271 enodes) 1540202489.607 * [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))))) 1540202489.608 * [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))))))) 1540202489.608 * [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))))) 1540202489.608 * * [misc]simplify: iters left: 6 (19 enodes) 1540202489.610 * * [misc]simplify: iters left: 5 (28 enodes) 1540202489.614 * * [misc]simplify: iters left: 4 (46 enodes) 1540202489.621 * * [misc]simplify: iters left: 3 (91 enodes) 1540202489.636 * * [misc]simplify: iters left: 2 (156 enodes) 1540202489.668 * * [misc]simplify: iters left: 1 (240 enodes) 1540202489.724 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540202489.724 * [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))))) 1540202489.724 * * * * [misc]progress: [ 1969 / 6878 ] simplifiying candidate # 1540202489.725 * [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))) 1540202489.725 * * [misc]simplify: iters left: 6 (22 enodes) 1540202489.728 * * [misc]simplify: iters left: 5 (35 enodes) 1540202489.733 * * [misc]simplify: iters left: 4 (60 enodes) 1540202489.743 * * [misc]simplify: iters left: 3 (136 enodes) 1540202489.774 * * [misc]simplify: iters left: 2 (316 enodes) 1540202489.885 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) 1540202489.885 * [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)))) (/ (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))))))) 1540202489.885 * [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))))) 1540202489.885 * * [misc]simplify: iters left: 6 (21 enodes) 1540202489.888 * * [misc]simplify: iters left: 5 (30 enodes) 1540202489.892 * * [misc]simplify: iters left: 4 (49 enodes) 1540202489.899 * * [misc]simplify: iters left: 3 (97 enodes) 1540202489.916 * * [misc]simplify: iters left: 2 (184 enodes) 1540202489.955 * * [misc]simplify: iters left: 1 (323 enodes) 1540202490.055 * [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)))) 1540202490.055 * [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)))))) 1540202490.055 * * * * [misc]progress: [ 1970 / 6878 ] simplifiying candidate # 1540202490.055 * [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))) 1540202490.055 * * [misc]simplify: iters left: 6 (22 enodes) 1540202490.059 * * [misc]simplify: iters left: 5 (35 enodes) 1540202490.064 * * [misc]simplify: iters left: 4 (60 enodes) 1540202490.074 * * [misc]simplify: iters left: 3 (136 enodes) 1540202490.105 * * [misc]simplify: iters left: 2 (316 enodes) 1540202490.215 * [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)))))) 1540202490.216 * [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))))))) 1540202490.216 * [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))))) 1540202490.216 * * [misc]simplify: iters left: 6 (21 enodes) 1540202490.219 * * [misc]simplify: iters left: 5 (30 enodes) 1540202490.223 * * [misc]simplify: iters left: 4 (49 enodes) 1540202490.230 * * [misc]simplify: iters left: 3 (97 enodes) 1540202490.247 * * [misc]simplify: iters left: 2 (184 enodes) 1540202490.286 * * [misc]simplify: iters left: 1 (323 enodes) 1540202490.385 * [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)))) 1540202490.385 * [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)))))) 1540202490.385 * * * * [misc]progress: [ 1971 / 6878 ] simplifiying candidate # 1540202490.386 * [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))))))) 1540202490.386 * * [misc]simplify: iters left: 6 (24 enodes) 1540202490.389 * * [misc]simplify: iters left: 5 (38 enodes) 1540202490.394 * * [misc]simplify: iters left: 4 (69 enodes) 1540202490.406 * * [misc]simplify: iters left: 3 (181 enodes) 1540202490.467 * [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)))))) 1540202490.467 * [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)))))))) 1540202490.468 * [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)))))) 1540202490.468 * * [misc]simplify: iters left: 6 (22 enodes) 1540202490.471 * * [misc]simplify: iters left: 5 (31 enodes) 1540202490.475 * * [misc]simplify: iters left: 4 (50 enodes) 1540202490.482 * * [misc]simplify: iters left: 3 (98 enodes) 1540202490.499 * * [misc]simplify: iters left: 2 (185 enodes) 1540202490.538 * * [misc]simplify: iters left: 1 (321 enodes) 1540202490.635 * [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)))))) 1540202490.635 * [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)))))))) 1540202490.635 * * * * [misc]progress: [ 1972 / 6878 ] simplifiying candidate # 1540202490.635 * [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)))))) 1540202490.635 * * [misc]simplify: iters left: 6 (23 enodes) 1540202490.638 * * [misc]simplify: iters left: 5 (35 enodes) 1540202490.643 * * [misc]simplify: iters left: 4 (60 enodes) 1540202490.652 * * [misc]simplify: iters left: 3 (136 enodes) 1540202490.683 * * [misc]simplify: iters left: 2 (314 enodes) 1540202490.794 * [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))))))) 1540202490.794 * [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)))))))) 1540202490.794 * [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)))))) 1540202490.794 * * [misc]simplify: iters left: 6 (22 enodes) 1540202490.797 * * [misc]simplify: iters left: 5 (31 enodes) 1540202490.801 * * [misc]simplify: iters left: 4 (50 enodes) 1540202490.809 * * [misc]simplify: iters left: 3 (98 enodes) 1540202490.826 * * [misc]simplify: iters left: 2 (185 enodes) 1540202490.865 * * [misc]simplify: iters left: 1 (321 enodes) 1540202490.962 * [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)))))) 1540202490.962 * [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)))))))) 1540202490.962 * * * * [misc]progress: [ 1973 / 6878 ] simplifiying candidate # 1540202490.962 * [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)) 1540202490.962 * * [misc]simplify: iters left: 6 (22 enodes) 1540202490.965 * * [misc]simplify: iters left: 5 (36 enodes) 1540202490.970 * * [misc]simplify: iters left: 4 (63 enodes) 1540202490.980 * * [misc]simplify: iters left: 3 (108 enodes) 1540202490.997 * * [misc]simplify: iters left: 2 (254 enodes) 1540202491.094 * [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))))) 1540202491.094 * [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))))))) 1540202491.094 * [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))))) 1540202491.094 * * [misc]simplify: iters left: 6 (21 enodes) 1540202491.097 * * [misc]simplify: iters left: 5 (30 enodes) 1540202491.101 * * [misc]simplify: iters left: 4 (49 enodes) 1540202491.108 * * [misc]simplify: iters left: 3 (97 enodes) 1540202491.125 * * [misc]simplify: iters left: 2 (184 enodes) 1540202491.164 * * [misc]simplify: iters left: 1 (323 enodes) 1540202491.264 * [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))))) 1540202491.264 * [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))))))) 1540202491.264 * * * * [misc]progress: [ 1974 / 6878 ] simplifiying candidate # 1540202491.264 * [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))) 1540202491.265 * * [misc]simplify: iters left: 6 (22 enodes) 1540202491.268 * * [misc]simplify: iters left: 5 (37 enodes) 1540202491.274 * * [misc]simplify: iters left: 4 (64 enodes) 1540202491.286 * * [misc]simplify: iters left: 3 (170 enodes) 1540202491.333 * * [misc]simplify: iters left: 2 (467 enodes) 1540202491.562 * [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)))))) 1540202491.562 * [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))))))) 1540202491.563 * [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))))) 1540202491.563 * * [misc]simplify: iters left: 6 (20 enodes) 1540202491.565 * * [misc]simplify: iters left: 5 (29 enodes) 1540202491.569 * * [misc]simplify: iters left: 4 (48 enodes) 1540202491.576 * * [misc]simplify: iters left: 3 (96 enodes) 1540202491.595 * * [misc]simplify: iters left: 2 (183 enodes) 1540202491.633 * * [misc]simplify: iters left: 1 (324 enodes) 1540202491.736 * [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)))) 1540202491.736 * [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)))))) 1540202491.736 * * * * [misc]progress: [ 1975 / 6878 ] simplifiying candidate # 1540202491.736 * [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 1) (pow 2 1/2))) 1540202491.736 * * [misc]simplify: iters left: 6 (22 enodes) 1540202491.740 * * [misc]simplify: iters left: 5 (37 enodes) 1540202491.746 * * [misc]simplify: iters left: 4 (64 enodes) 1540202491.759 * * [misc]simplify: iters left: 3 (170 enodes) 1540202491.805 * * [misc]simplify: iters left: 2 (467 enodes) 1540202492.035 * [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)))))) 1540202492.035 * [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))))))) 1540202492.035 * [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))))) 1540202492.035 * * [misc]simplify: iters left: 6 (20 enodes) 1540202492.038 * * [misc]simplify: iters left: 5 (29 enodes) 1540202492.042 * * [misc]simplify: iters left: 4 (48 enodes) 1540202492.049 * * [misc]simplify: iters left: 3 (96 enodes) 1540202492.066 * * [misc]simplify: iters left: 2 (183 enodes) 1540202492.105 * * [misc]simplify: iters left: 1 (324 enodes) 1540202492.208 * [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)))) 1540202492.208 * [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)))))) 1540202492.208 * * * * [misc]progress: [ 1976 / 6878 ] simplifiying candidate # 1540202492.208 * [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))))))) 1540202492.208 * * [misc]simplify: iters left: 6 (24 enodes) 1540202492.212 * * [misc]simplify: iters left: 5 (40 enodes) 1540202492.217 * * [misc]simplify: iters left: 4 (74 enodes) 1540202492.232 * * [misc]simplify: iters left: 3 (227 enodes) 1540202492.317 * [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))))))) 1540202492.317 * [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)))))))) 1540202492.317 * [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)))))) 1540202492.317 * * [misc]simplify: iters left: 6 (21 enodes) 1540202492.320 * * [misc]simplify: iters left: 5 (30 enodes) 1540202492.326 * * [misc]simplify: iters left: 4 (49 enodes) 1540202492.333 * * [misc]simplify: iters left: 3 (97 enodes) 1540202492.350 * * [misc]simplify: iters left: 2 (184 enodes) 1540202492.389 * * [misc]simplify: iters left: 1 (323 enodes) 1540202492.486 * [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)))))) 1540202492.486 * [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)))))))) 1540202492.486 * * * * [misc]progress: [ 1977 / 6878 ] simplifiying candidate # 1540202492.486 * [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)))))) 1540202492.486 * * [misc]simplify: iters left: 6 (23 enodes) 1540202492.490 * * [misc]simplify: iters left: 5 (37 enodes) 1540202492.496 * * [misc]simplify: iters left: 4 (64 enodes) 1540202492.508 * * [misc]simplify: iters left: 3 (170 enodes) 1540202492.553 * * [misc]simplify: iters left: 2 (453 enodes)