1544005325.432 * [misc]progress: [Phase 1 of 3] Setting up. 1544005325.432 * * * [misc]progress: [1/2] Preparing points 1544005325.432 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544005325.434 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1544005325.439 * * * * [misc]points: Setting MPFR precision to 64 1544005325.440 * * * * [misc]points: Setting MPFR precision to 320 1544005325.442 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1544005325.448 * * * * [misc]points: Setting MPFR precision to 64 1544005325.450 * * * * [misc]points: Setting MPFR precision to 320 1544005325.452 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1544005325.458 * * * * [misc]points: Setting MPFR precision to 64 1544005325.461 * * * * [misc]points: Setting MPFR precision to 320 1544005325.464 * * * * [misc]points: Setting MPFR precision to 576 1544005325.466 * * * * [misc]points: Setting MPFR precision to 832 1544005325.468 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.470 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.473 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1544005325.482 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.486 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.490 * * * * [misc]points: Computing exacts for 256 points 1544005325.515 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.537 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.560 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005325.560 * * * * [misc]points: Sampling 198 additional inputs, on iter 1 have 58 / 256 1544005325.562 * * * * [misc]points: Computing exacts on every 12 of 198 points to ramp up precision 1544005325.572 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.572 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.573 * * * * [misc]points: Computing exacts on every 6 of 198 points to ramp up precision 1544005325.591 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.594 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.596 * * * * [misc]points: Computing exacts on every 3 of 198 points to ramp up precision 1544005325.613 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.615 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.617 * * * * [misc]points: Computing exacts for 198 points 1544005325.627 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.642 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.660 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005325.660 * * * * [misc]points: Sampling 147 additional inputs, on iter 2 have 109 / 256 1544005325.661 * * * * [misc]points: Computing exacts on every 9 of 147 points to ramp up precision 1544005325.682 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.683 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.684 * * * * [misc]points: Computing exacts on every 4 of 147 points to ramp up precision 1544005325.697 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.699 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.700 * * * * [misc]points: Computing exacts on every 2 of 147 points to ramp up precision 1544005325.717 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.719 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.721 * * * * [misc]points: Computing exacts for 147 points 1544005325.731 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.739 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.748 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005325.748 * * * * [misc]points: Sampling 119 additional inputs, on iter 3 have 137 / 256 1544005325.748 * * * * [misc]points: Computing exacts on every 7 of 119 points to ramp up precision 1544005325.764 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.765 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.766 * * * * [misc]points: Computing exacts on every 3 of 119 points to ramp up precision 1544005325.775 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.777 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.779 * * * * [misc]points: Computing exacts for 119 points 1544005325.788 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.794 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.805 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005325.805 * * * * [misc]points: Sampling 92 additional inputs, on iter 4 have 164 / 256 1544005325.806 * * * * [misc]points: Computing exacts on every 5 of 92 points to ramp up precision 1544005325.835 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.837 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.838 * * * * [misc]points: Computing exacts on every 2 of 92 points to ramp up precision 1544005325.857 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.859 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.861 * * * * [misc]points: Computing exacts for 92 points 1544005325.885 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.892 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.900 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005325.900 * * * * [misc]points: Sampling 77 additional inputs, on iter 5 have 179 / 256 1544005325.901 * * * * [misc]points: Computing exacts on every 4 of 77 points to ramp up precision 1544005325.920 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.921 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.922 * * * * [misc]points: Computing exacts on every 2 of 77 points to ramp up precision 1544005325.941 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.943 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.946 * * * * [misc]points: Computing exacts for 77 points 1544005325.970 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.973 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.977 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005325.977 * * * * [misc]points: Sampling 56 additional inputs, on iter 6 have 200 / 256 1544005325.978 * * * * [misc]points: Computing exacts on every 3 of 56 points to ramp up precision 1544005325.987 * * * * [misc]points: Setting MPFR precision to 1088 1544005325.988 * * * * [misc]points: Setting MPFR precision to 1344 1544005325.989 * * * * [misc]points: Computing exacts for 56 points 1544005326.001 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.004 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.007 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.007 * * * * [misc]points: Sampling 42 additional inputs, on iter 7 have 214 / 256 1544005326.007 * * * * [misc]points: Computing exacts on every 2 of 42 points to ramp up precision 1544005326.016 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.017 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.018 * * * * [misc]points: Computing exacts for 42 points 1544005326.027 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.029 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.030 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.031 * * * * [misc]points: Sampling 34 additional inputs, on iter 8 have 222 / 256 1544005326.031 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision 1544005326.045 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.046 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.048 * * * * [misc]points: Computing exacts for 34 points 1544005326.067 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.070 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.074 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.074 * * * * [misc]points: Sampling 26 additional inputs, on iter 9 have 230 / 256 1544005326.074 * * * * [misc]points: Computing exacts for 26 points 1544005326.093 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.095 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.097 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.097 * * * * [misc]points: Sampling 18 additional inputs, on iter 10 have 238 / 256 1544005326.098 * * * * [misc]points: Computing exacts for 18 points 1544005326.122 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.123 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.124 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.124 * * * * [misc]points: Sampling 15 additional inputs, on iter 11 have 241 / 256 1544005326.125 * * * * [misc]points: Computing exacts for 15 points 1544005326.143 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.145 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.146 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.146 * * * * [misc]points: Sampling 13 additional inputs, on iter 12 have 243 / 256 1544005326.146 * * * * [misc]points: Computing exacts for 13 points 1544005326.168 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.169 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.171 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.171 * * * * [misc]points: Sampling 10 additional inputs, on iter 13 have 246 / 256 1544005326.171 * * * * [misc]points: Computing exacts for 10 points 1544005326.191 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.192 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.193 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.193 * * * * [misc]points: Sampling 9 additional inputs, on iter 14 have 247 / 256 1544005326.193 * * * * [misc]points: Computing exacts for 9 points 1544005326.212 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.213 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.214 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.214 * * * * [misc]points: Sampling 6 additional inputs, on iter 15 have 250 / 256 1544005326.214 * * * * [misc]points: Computing exacts for 6 points 1544005326.236 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.237 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.237 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.237 * * * * [misc]points: Sampling 5 additional inputs, on iter 16 have 251 / 256 1544005326.237 * * * * [misc]points: Computing exacts for 5 points 1544005326.259 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.259 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.260 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.260 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 1544005326.260 * * * * [misc]points: Computing exacts for 4 points 1544005326.280 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.280 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.280 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.280 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 252 / 256 1544005326.280 * * * * [misc]points: Computing exacts for 4 points 1544005326.303 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.303 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.304 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.304 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 252 / 256 1544005326.304 * * * * [misc]points: Computing exacts for 4 points 1544005326.317 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.317 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.317 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.317 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 253 / 256 1544005326.317 * * * * [misc]points: Computing exacts for 4 points 1544005326.326 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.326 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.327 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.327 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 254 / 256 1544005326.328 * * * * [misc]points: Computing exacts for 4 points 1544005326.338 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.338 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.338 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.338 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 254 / 256 1544005326.338 * * * * [misc]points: Computing exacts for 4 points 1544005326.357 * * * * [misc]points: Setting MPFR precision to 1088 1544005326.357 * * * * [misc]points: Setting MPFR precision to 1344 1544005326.358 * * * * [misc]points: Filtering points with unrepresentable outputs 1544005326.358 * * * * [exit]points: Sampled 256 points with exact outputs 1544005326.358 * * * [misc]progress: [2/2] Setting up program. 1544005326.364 * [misc]progress: [Phase 2 of 3] Improving. 1544005326.364 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544005326.364 * * [misc]simplify: iters left: 6 (13 enodes) 1544005326.369 * * [misc]simplify: iters left: 5 (28 enodes) 1544005326.377 * * [misc]simplify: iters left: 4 (44 enodes) 1544005326.389 * * [misc]simplify: iters left: 3 (54 enodes) 1544005326.404 * * [misc]simplify: iters left: 2 (57 enodes) 1544005326.416 * * [misc]simplify: iters left: 1 (65 enodes) 1544005326.432 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544005326.445 * * [misc]progress: iteration 1 / 4 1544005326.445 * * * [misc]progress: picking best candidate 1544005326.456 * * * * [misc]pick: Picked # 1544005326.456 * * * [misc]progress: localizing error 1544005326.497 * * * [misc]progress: generating rewritten candidates 1544005326.497 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) 1544005326.500 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1544005326.507 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) 1544005326.512 * * * [misc]progress: generating series expansions 1544005326.512 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) 1544005326.512 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544005326.512 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544005326.512 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005326.512 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.512 * [misc]backup-simplify: Simplify 2 into 2 1544005326.512 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005326.512 * [misc]taylor: Taking taylor expansion of n in n 1544005326.512 * [misc]backup-simplify: Simplify 0 into 0 1544005326.512 * [misc]backup-simplify: Simplify 1 into 1 1544005326.512 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.512 * [misc]backup-simplify: Simplify PI into PI 1544005326.512 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005326.512 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.512 * [misc]backup-simplify: Simplify 2 into 2 1544005326.512 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005326.512 * [misc]taylor: Taking taylor expansion of n in n 1544005326.512 * [misc]backup-simplify: Simplify 0 into 0 1544005326.512 * [misc]backup-simplify: Simplify 1 into 1 1544005326.512 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.512 * [misc]backup-simplify: Simplify PI into PI 1544005326.513 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005326.513 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005326.513 * [misc]backup-simplify: Simplify 0 into 0 1544005326.514 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005326.514 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005326.514 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.515 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005326.516 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005326.516 * [misc]backup-simplify: Simplify 0 into 0 1544005326.517 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005326.517 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005326.518 * [misc]backup-simplify: Simplify 0 into 0 1544005326.519 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005326.520 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005326.520 * [misc]backup-simplify: Simplify 0 into 0 1544005326.527 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005326.530 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544005326.530 * [misc]backup-simplify: Simplify 0 into 0 1544005326.534 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005326.537 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544005326.537 * [misc]backup-simplify: Simplify 0 into 0 1544005326.541 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544005326.544 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544005326.544 * [misc]backup-simplify: Simplify 0 into 0 1544005326.545 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544005326.545 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544005326.545 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544005326.545 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005326.545 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.545 * [misc]backup-simplify: Simplify 2 into 2 1544005326.545 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.545 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.545 * [misc]backup-simplify: Simplify PI into PI 1544005326.545 * [misc]taylor: Taking taylor expansion of n in n 1544005326.545 * [misc]backup-simplify: Simplify 0 into 0 1544005326.545 * [misc]backup-simplify: Simplify 1 into 1 1544005326.545 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.545 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005326.545 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.545 * [misc]backup-simplify: Simplify 2 into 2 1544005326.545 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.545 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.545 * [misc]backup-simplify: Simplify PI into PI 1544005326.545 * [misc]taylor: Taking taylor expansion of n in n 1544005326.545 * [misc]backup-simplify: Simplify 0 into 0 1544005326.545 * [misc]backup-simplify: Simplify 1 into 1 1544005326.545 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.546 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.546 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.547 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005326.547 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005326.547 * [misc]backup-simplify: Simplify 0 into 0 1544005326.548 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.548 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005326.548 * [misc]backup-simplify: Simplify 0 into 0 1544005326.549 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.550 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005326.550 * [misc]backup-simplify: Simplify 0 into 0 1544005326.551 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.553 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005326.553 * [misc]backup-simplify: Simplify 0 into 0 1544005326.554 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.555 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005326.555 * [misc]backup-simplify: Simplify 0 into 0 1544005326.557 * [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 1544005326.559 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005326.559 * [misc]backup-simplify: Simplify 0 into 0 1544005326.559 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544005326.559 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544005326.559 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544005326.559 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005326.559 * [misc]taylor: Taking taylor expansion of -2 in n 1544005326.559 * [misc]backup-simplify: Simplify -2 into -2 1544005326.559 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.559 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.559 * [misc]backup-simplify: Simplify PI into PI 1544005326.559 * [misc]taylor: Taking taylor expansion of n in n 1544005326.559 * [misc]backup-simplify: Simplify 0 into 0 1544005326.559 * [misc]backup-simplify: Simplify 1 into 1 1544005326.559 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.559 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005326.559 * [misc]taylor: Taking taylor expansion of -2 in n 1544005326.559 * [misc]backup-simplify: Simplify -2 into -2 1544005326.559 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.559 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.560 * [misc]backup-simplify: Simplify PI into PI 1544005326.560 * [misc]taylor: Taking taylor expansion of n in n 1544005326.560 * [misc]backup-simplify: Simplify 0 into 0 1544005326.560 * [misc]backup-simplify: Simplify 1 into 1 1544005326.560 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.560 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005326.560 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005326.561 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005326.561 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005326.561 * [misc]backup-simplify: Simplify 0 into 0 1544005326.562 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.563 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005326.563 * [misc]backup-simplify: Simplify 0 into 0 1544005326.564 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.564 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005326.565 * [misc]backup-simplify: Simplify 0 into 0 1544005326.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.567 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005326.567 * [misc]backup-simplify: Simplify 0 into 0 1544005326.568 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.570 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005326.570 * [misc]backup-simplify: Simplify 0 into 0 1544005326.571 * [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 1544005326.574 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005326.574 * [misc]backup-simplify: Simplify 0 into 0 1544005326.575 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544005326.575 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1544005326.575 * [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)))) 1544005326.575 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1544005326.575 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1544005326.575 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544005326.575 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.576 * [misc]taylor: Taking taylor expansion of k in k 1544005326.576 * [misc]backup-simplify: Simplify 0 into 0 1544005326.576 * [misc]backup-simplify: Simplify 1 into 1 1544005326.576 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.576 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005326.577 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005326.577 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544005326.577 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544005326.577 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544005326.577 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544005326.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.577 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544005326.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.577 * [misc]taylor: Taking taylor expansion of k in k 1544005326.577 * [misc]backup-simplify: Simplify 0 into 0 1544005326.577 * [misc]backup-simplify: Simplify 1 into 1 1544005326.577 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544005326.577 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544005326.577 * [misc]taylor: Taking taylor expansion of 2 in k 1544005326.577 * [misc]backup-simplify: Simplify 2 into 2 1544005326.577 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544005326.577 * [misc]taylor: Taking taylor expansion of n in k 1544005326.577 * [misc]backup-simplify: Simplify n into n 1544005326.577 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.577 * [misc]backup-simplify: Simplify PI into PI 1544005326.577 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544005326.578 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544005326.578 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544005326.578 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544005326.578 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.578 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544005326.578 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544005326.579 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544005326.579 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544005326.579 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544005326.579 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.579 * [misc]taylor: Taking taylor expansion of k in n 1544005326.579 * [misc]backup-simplify: Simplify k into k 1544005326.579 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.579 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544005326.579 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005326.579 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544005326.579 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544005326.579 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005326.579 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005326.579 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544005326.579 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.579 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.579 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005326.580 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.580 * [misc]taylor: Taking taylor expansion of k in n 1544005326.580 * [misc]backup-simplify: Simplify k into k 1544005326.580 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005326.580 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005326.580 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.580 * [misc]backup-simplify: Simplify 2 into 2 1544005326.580 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005326.580 * [misc]taylor: Taking taylor expansion of n in n 1544005326.580 * [misc]backup-simplify: Simplify 0 into 0 1544005326.580 * [misc]backup-simplify: Simplify 1 into 1 1544005326.580 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.580 * [misc]backup-simplify: Simplify PI into PI 1544005326.580 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005326.580 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005326.581 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005326.582 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005326.582 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.582 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005326.582 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005326.582 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544005326.583 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.584 * [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)))) 1544005326.584 * [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))))) 1544005326.584 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544005326.584 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of k in n 1544005326.585 * [misc]backup-simplify: Simplify k into k 1544005326.585 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.585 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544005326.585 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005326.585 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544005326.585 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.585 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.585 * [misc]taylor: Taking taylor expansion of k in n 1544005326.585 * [misc]backup-simplify: Simplify k into k 1544005326.585 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.585 * [misc]backup-simplify: Simplify 2 into 2 1544005326.585 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005326.585 * [misc]taylor: Taking taylor expansion of n in n 1544005326.586 * [misc]backup-simplify: Simplify 0 into 0 1544005326.586 * [misc]backup-simplify: Simplify 1 into 1 1544005326.586 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.586 * [misc]backup-simplify: Simplify PI into PI 1544005326.586 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005326.586 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005326.587 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005326.587 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005326.588 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.588 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005326.588 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005326.588 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544005326.588 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.589 * [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)))) 1544005326.589 * [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))))) 1544005326.590 * [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))) 1544005326.590 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1544005326.590 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544005326.590 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544005326.590 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544005326.590 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.590 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.590 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544005326.590 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.590 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.590 * [misc]taylor: Taking taylor expansion of k in k 1544005326.590 * [misc]backup-simplify: Simplify 0 into 0 1544005326.590 * [misc]backup-simplify: Simplify 1 into 1 1544005326.590 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544005326.590 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005326.590 * [misc]taylor: Taking taylor expansion of n in k 1544005326.590 * [misc]backup-simplify: Simplify n into n 1544005326.590 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005326.590 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005326.590 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005326.590 * [misc]taylor: Taking taylor expansion of 2 in k 1544005326.590 * [misc]backup-simplify: Simplify 2 into 2 1544005326.590 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.590 * [misc]backup-simplify: Simplify PI into PI 1544005326.590 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.590 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.591 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544005326.591 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.591 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544005326.591 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.591 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544005326.592 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544005326.592 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544005326.592 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.592 * [misc]taylor: Taking taylor expansion of k in k 1544005326.592 * [misc]backup-simplify: Simplify 0 into 0 1544005326.592 * [misc]backup-simplify: Simplify 1 into 1 1544005326.592 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.592 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005326.592 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005326.593 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1544005326.593 * [misc]backup-simplify: Simplify 0 into 0 1544005326.594 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005326.594 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005326.596 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005326.597 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544005326.597 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.597 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.597 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.598 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544005326.599 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005326.599 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1544005326.599 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.599 * [misc]backup-simplify: Simplify 0 into 0 1544005326.600 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544005326.600 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005326.602 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005326.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.602 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544005326.602 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005326.602 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544005326.602 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544005326.603 * [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))))))) 1544005326.605 * [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))))))) 1544005326.605 * [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))))))) 1544005326.607 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005326.608 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005326.611 * [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 1544005326.611 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544005326.611 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.611 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.612 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.612 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544005326.614 * [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 1544005326.614 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.615 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544005326.616 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1544005326.616 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.616 * [misc]backup-simplify: Simplify 0 into 0 1544005326.616 * [misc]backup-simplify: Simplify 0 into 0 1544005326.616 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544005326.617 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005326.619 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544005326.620 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005326.625 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1544005326.626 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544005326.626 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.626 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.627 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544005326.630 * [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))))) 1544005326.635 * [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)))))))) 1544005326.637 * [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)))))))) 1544005326.640 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005326.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005326.649 * [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 1544005326.649 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544005326.649 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.650 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.652 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544005326.655 * [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 1544005326.655 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.655 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544005326.656 * [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 1544005326.656 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.656 * [misc]backup-simplify: Simplify 0 into 0 1544005326.656 * [misc]backup-simplify: Simplify 0 into 0 1544005326.656 * [misc]backup-simplify: Simplify 0 into 0 1544005326.656 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.657 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544005326.658 * [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 1544005326.659 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005326.664 * [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 1544005326.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544005326.664 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544005326.668 * [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))))))) 1544005326.673 * [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)))))))))))))) 1544005326.677 * [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)))))))))))))) 1544005326.683 * [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)))))))))))))))))))))) 1544005326.684 * [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))))) 1544005326.684 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1544005326.684 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544005326.684 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544005326.684 * [misc]taylor: Taking taylor expansion of k in k 1544005326.684 * [misc]backup-simplify: Simplify 0 into 0 1544005326.684 * [misc]backup-simplify: Simplify 1 into 1 1544005326.684 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005326.684 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005326.684 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544005326.684 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544005326.684 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544005326.684 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544005326.684 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.684 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005326.684 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.685 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.685 * [misc]taylor: Taking taylor expansion of k in k 1544005326.685 * [misc]backup-simplify: Simplify 0 into 0 1544005326.685 * [misc]backup-simplify: Simplify 1 into 1 1544005326.685 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.685 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544005326.685 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544005326.685 * [misc]taylor: Taking taylor expansion of 2 in k 1544005326.685 * [misc]backup-simplify: Simplify 2 into 2 1544005326.685 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005326.685 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.685 * [misc]backup-simplify: Simplify PI into PI 1544005326.685 * [misc]taylor: Taking taylor expansion of n in k 1544005326.685 * [misc]backup-simplify: Simplify n into n 1544005326.685 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005326.685 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544005326.685 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544005326.685 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005326.685 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005326.685 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544005326.685 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544005326.686 * [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)))) 1544005326.686 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of k in n 1544005326.686 * [misc]backup-simplify: Simplify k into k 1544005326.686 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544005326.686 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544005326.686 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.686 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.686 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of k in n 1544005326.686 * [misc]backup-simplify: Simplify k into k 1544005326.686 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.686 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.686 * [misc]backup-simplify: Simplify 2 into 2 1544005326.686 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.686 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.686 * [misc]backup-simplify: Simplify PI into PI 1544005326.686 * [misc]taylor: Taking taylor expansion of n in n 1544005326.686 * [misc]backup-simplify: Simplify 0 into 0 1544005326.686 * [misc]backup-simplify: Simplify 1 into 1 1544005326.686 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.686 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.687 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.687 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005326.687 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005326.687 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544005326.687 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.688 * [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))) 1544005326.688 * [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)))) 1544005326.688 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544005326.688 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544005326.688 * [misc]taylor: Taking taylor expansion of k in n 1544005326.688 * [misc]backup-simplify: Simplify k into k 1544005326.688 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544005326.688 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544005326.688 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544005326.688 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005326.688 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005326.688 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544005326.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.688 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005326.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.688 * [misc]taylor: Taking taylor expansion of k in n 1544005326.688 * [misc]backup-simplify: Simplify k into k 1544005326.688 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.689 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005326.689 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005326.689 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.689 * [misc]backup-simplify: Simplify 2 into 2 1544005326.689 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.689 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.689 * [misc]backup-simplify: Simplify PI into PI 1544005326.689 * [misc]taylor: Taking taylor expansion of n in n 1544005326.689 * [misc]backup-simplify: Simplify 0 into 0 1544005326.689 * [misc]backup-simplify: Simplify 1 into 1 1544005326.689 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.689 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.689 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.689 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005326.689 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005326.689 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544005326.690 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.690 * [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))) 1544005326.691 * [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)))) 1544005326.691 * [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)) 1544005326.691 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1544005326.691 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544005326.691 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544005326.691 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544005326.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005326.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.691 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.691 * [misc]taylor: Taking taylor expansion of k in k 1544005326.691 * [misc]backup-simplify: Simplify 0 into 0 1544005326.691 * [misc]backup-simplify: Simplify 1 into 1 1544005326.692 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.692 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005326.692 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005326.692 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005326.692 * [misc]taylor: Taking taylor expansion of 2 in k 1544005326.692 * [misc]backup-simplify: Simplify 2 into 2 1544005326.692 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.692 * [misc]backup-simplify: Simplify PI into PI 1544005326.692 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.693 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.693 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005326.693 * [misc]taylor: Taking taylor expansion of n in k 1544005326.693 * [misc]backup-simplify: Simplify n into n 1544005326.693 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005326.693 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005326.693 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005326.693 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544005326.693 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005326.694 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005326.694 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005326.695 * [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)))) 1544005326.695 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544005326.695 * [misc]taylor: Taking taylor expansion of k in k 1544005326.695 * [misc]backup-simplify: Simplify 0 into 0 1544005326.695 * [misc]backup-simplify: Simplify 1 into 1 1544005326.695 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005326.696 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005326.697 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1544005326.697 * [misc]backup-simplify: Simplify 0 into 0 1544005326.698 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005326.698 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005326.701 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005326.701 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005326.701 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005326.702 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.702 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.702 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.703 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544005326.705 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005326.706 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1544005326.706 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.706 * [misc]backup-simplify: Simplify 0 into 0 1544005326.706 * [misc]backup-simplify: Simplify 0 into 0 1544005326.707 * [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)))))) 1544005326.708 * [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)))))) 1544005326.709 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.710 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005326.715 * [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 1544005326.715 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.716 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005326.716 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.717 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.718 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544005326.720 * [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 1544005326.721 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544005326.722 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1544005326.722 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.722 * [misc]backup-simplify: Simplify 0 into 0 1544005326.722 * [misc]backup-simplify: Simplify 0 into 0 1544005326.722 * [misc]backup-simplify: Simplify 0 into 0 1544005326.723 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005326.724 * [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)))))) 1544005326.725 * [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)))))) 1544005326.726 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.728 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005326.736 * [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 1544005326.736 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544005326.737 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.738 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.739 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544005326.742 * [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 1544005326.743 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544005326.744 * [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 1544005326.744 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.744 * [misc]backup-simplify: Simplify 0 into 0 1544005326.744 * [misc]backup-simplify: Simplify 0 into 0 1544005326.744 * [misc]backup-simplify: Simplify 0 into 0 1544005326.744 * [misc]backup-simplify: Simplify 0 into 0 1544005326.745 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544005326.746 * [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)))))) 1544005326.747 * [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)))))) 1544005326.749 * [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)))))))) 1544005326.750 * [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))) 1544005326.750 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544005326.750 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544005326.750 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544005326.750 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544005326.750 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544005326.750 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544005326.750 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005326.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.750 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.750 * [misc]taylor: Taking taylor expansion of k in k 1544005326.750 * [misc]backup-simplify: Simplify 0 into 0 1544005326.750 * [misc]backup-simplify: Simplify 1 into 1 1544005326.750 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.750 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544005326.750 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544005326.751 * [misc]taylor: Taking taylor expansion of -2 in k 1544005326.751 * [misc]backup-simplify: Simplify -2 into -2 1544005326.751 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005326.751 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.751 * [misc]backup-simplify: Simplify PI into PI 1544005326.751 * [misc]taylor: Taking taylor expansion of n in k 1544005326.751 * [misc]backup-simplify: Simplify n into n 1544005326.751 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005326.751 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544005326.751 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544005326.751 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005326.751 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544005326.751 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544005326.752 * [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))) 1544005326.752 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005326.752 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005326.752 * [misc]taylor: Taking taylor expansion of -1 in k 1544005326.752 * [misc]backup-simplify: Simplify -1 into -1 1544005326.752 * [misc]taylor: Taking taylor expansion of k in k 1544005326.752 * [misc]backup-simplify: Simplify 0 into 0 1544005326.752 * [misc]backup-simplify: Simplify 1 into 1 1544005326.752 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005326.752 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005326.753 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005326.753 * [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)))) 1544005326.753 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544005326.753 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544005326.753 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544005326.753 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544005326.753 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544005326.753 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005326.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.753 * [misc]taylor: Taking taylor expansion of k in n 1544005326.753 * [misc]backup-simplify: Simplify k into k 1544005326.753 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.754 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005326.754 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005326.754 * [misc]taylor: Taking taylor expansion of -2 in n 1544005326.754 * [misc]backup-simplify: Simplify -2 into -2 1544005326.754 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.754 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.754 * [misc]backup-simplify: Simplify PI into PI 1544005326.754 * [misc]taylor: Taking taylor expansion of n in n 1544005326.754 * [misc]backup-simplify: Simplify 0 into 0 1544005326.754 * [misc]backup-simplify: Simplify 1 into 1 1544005326.754 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.754 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005326.755 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005326.755 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005326.755 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544005326.756 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005326.756 * [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))) 1544005326.757 * [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)))) 1544005326.757 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005326.757 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005326.757 * [misc]taylor: Taking taylor expansion of -1 in n 1544005326.757 * [misc]backup-simplify: Simplify -1 into -1 1544005326.757 * [misc]taylor: Taking taylor expansion of k in n 1544005326.757 * [misc]backup-simplify: Simplify k into k 1544005326.757 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005326.757 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005326.758 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005326.758 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005326.758 * [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))) 1544005326.758 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544005326.758 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544005326.758 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544005326.759 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544005326.759 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544005326.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005326.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.759 * [misc]taylor: Taking taylor expansion of k in n 1544005326.759 * [misc]backup-simplify: Simplify k into k 1544005326.759 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.759 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005326.759 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005326.759 * [misc]taylor: Taking taylor expansion of -2 in n 1544005326.759 * [misc]backup-simplify: Simplify -2 into -2 1544005326.759 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.759 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.759 * [misc]backup-simplify: Simplify PI into PI 1544005326.759 * [misc]taylor: Taking taylor expansion of n in n 1544005326.759 * [misc]backup-simplify: Simplify 0 into 0 1544005326.759 * [misc]backup-simplify: Simplify 1 into 1 1544005326.760 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.760 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005326.761 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005326.761 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005326.761 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544005326.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005326.762 * [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))) 1544005326.763 * [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)))) 1544005326.763 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005326.763 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005326.763 * [misc]taylor: Taking taylor expansion of -1 in n 1544005326.763 * [misc]backup-simplify: Simplify -1 into -1 1544005326.763 * [misc]taylor: Taking taylor expansion of k in n 1544005326.763 * [misc]backup-simplify: Simplify k into k 1544005326.763 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005326.763 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005326.763 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005326.763 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005326.764 * [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))) 1544005326.764 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1544005326.764 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544005326.764 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544005326.764 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544005326.764 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005326.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.764 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.764 * [misc]taylor: Taking taylor expansion of k in k 1544005326.764 * [misc]backup-simplify: Simplify 0 into 0 1544005326.764 * [misc]backup-simplify: Simplify 1 into 1 1544005326.765 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.765 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544005326.765 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544005326.765 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544005326.765 * [misc]taylor: Taking taylor expansion of -2 in k 1544005326.765 * [misc]backup-simplify: Simplify -2 into -2 1544005326.765 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.765 * [misc]backup-simplify: Simplify PI into PI 1544005326.765 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005326.766 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005326.766 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005326.766 * [misc]taylor: Taking taylor expansion of n in k 1544005326.766 * [misc]backup-simplify: Simplify n into n 1544005326.766 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005326.766 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005326.766 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544005326.766 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005326.767 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544005326.767 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544005326.768 * [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)))) 1544005326.768 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005326.768 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005326.768 * [misc]taylor: Taking taylor expansion of -1 in k 1544005326.768 * [misc]backup-simplify: Simplify -1 into -1 1544005326.768 * [misc]taylor: Taking taylor expansion of k in k 1544005326.768 * [misc]backup-simplify: Simplify 0 into 0 1544005326.768 * [misc]backup-simplify: Simplify 1 into 1 1544005326.768 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005326.768 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005326.769 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005326.769 * [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))))) 1544005326.770 * [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))))) 1544005326.771 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005326.772 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005326.774 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544005326.775 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005326.775 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005326.775 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.776 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005326.776 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544005326.777 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005326.777 * [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 1544005326.777 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.777 * [misc]backup-simplify: Simplify 0 into 0 1544005326.777 * [misc]backup-simplify: Simplify 0 into 0 1544005326.778 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544005326.778 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005326.779 * [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)))))) 1544005326.779 * [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)))))) 1544005326.780 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.781 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005326.785 * [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 1544005326.785 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.785 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005326.785 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.786 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005326.786 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544005326.788 * [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 1544005326.788 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.788 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544005326.789 * [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 1544005326.789 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.789 * [misc]backup-simplify: Simplify 0 into 0 1544005326.789 * [misc]backup-simplify: Simplify 0 into 0 1544005326.789 * [misc]backup-simplify: Simplify 0 into 0 1544005326.789 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.790 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544005326.791 * [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)))))) 1544005326.791 * [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)))))) 1544005326.793 * [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))))))))))) 1544005326.793 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) 1544005326.793 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1544005326.793 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1544005326.793 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544005326.793 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544005326.793 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544005326.793 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544005326.793 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.793 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544005326.793 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.793 * [misc]taylor: Taking taylor expansion of k in k 1544005326.793 * [misc]backup-simplify: Simplify 0 into 0 1544005326.793 * [misc]backup-simplify: Simplify 1 into 1 1544005326.793 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544005326.793 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544005326.793 * [misc]taylor: Taking taylor expansion of 2 in k 1544005326.793 * [misc]backup-simplify: Simplify 2 into 2 1544005326.793 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544005326.793 * [misc]taylor: Taking taylor expansion of n in k 1544005326.793 * [misc]backup-simplify: Simplify n into n 1544005326.793 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.793 * [misc]backup-simplify: Simplify PI into PI 1544005326.793 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544005326.794 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544005326.794 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544005326.794 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544005326.794 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.794 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544005326.794 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544005326.794 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544005326.794 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544005326.794 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005326.794 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005326.794 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544005326.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.794 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005326.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.794 * [misc]taylor: Taking taylor expansion of k in n 1544005326.794 * [misc]backup-simplify: Simplify k into k 1544005326.794 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005326.794 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005326.794 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.794 * [misc]backup-simplify: Simplify 2 into 2 1544005326.794 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005326.794 * [misc]taylor: Taking taylor expansion of n in n 1544005326.794 * [misc]backup-simplify: Simplify 0 into 0 1544005326.794 * [misc]backup-simplify: Simplify 1 into 1 1544005326.794 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.794 * [misc]backup-simplify: Simplify PI into PI 1544005326.795 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005326.795 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005326.795 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005326.796 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005326.796 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.796 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005326.796 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005326.796 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544005326.796 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.797 * [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)))) 1544005326.797 * [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))))) 1544005326.797 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544005326.797 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005326.797 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005326.797 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544005326.797 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.797 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005326.797 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.797 * [misc]taylor: Taking taylor expansion of k in n 1544005326.797 * [misc]backup-simplify: Simplify k into k 1544005326.797 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005326.797 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005326.797 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.797 * [misc]backup-simplify: Simplify 2 into 2 1544005326.797 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005326.797 * [misc]taylor: Taking taylor expansion of n in n 1544005326.797 * [misc]backup-simplify: Simplify 0 into 0 1544005326.797 * [misc]backup-simplify: Simplify 1 into 1 1544005326.797 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.797 * [misc]backup-simplify: Simplify PI into PI 1544005326.798 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005326.798 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005326.798 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005326.799 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005326.799 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.799 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005326.799 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005326.799 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544005326.800 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.800 * [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)))) 1544005326.801 * [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))))) 1544005326.801 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544005326.801 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544005326.801 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544005326.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.801 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544005326.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.801 * [misc]taylor: Taking taylor expansion of k in k 1544005326.801 * [misc]backup-simplify: Simplify 0 into 0 1544005326.801 * [misc]backup-simplify: Simplify 1 into 1 1544005326.801 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544005326.801 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005326.801 * [misc]taylor: Taking taylor expansion of n in k 1544005326.801 * [misc]backup-simplify: Simplify n into n 1544005326.801 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005326.801 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005326.801 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005326.801 * [misc]taylor: Taking taylor expansion of 2 in k 1544005326.801 * [misc]backup-simplify: Simplify 2 into 2 1544005326.801 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.802 * [misc]backup-simplify: Simplify PI into PI 1544005326.802 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.802 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.802 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544005326.803 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.803 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544005326.803 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.804 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544005326.804 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544005326.805 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544005326.806 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005326.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005326.810 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005326.811 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544005326.811 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.811 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.812 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.812 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544005326.814 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005326.814 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.814 * [misc]backup-simplify: Simplify 0 into 0 1544005326.814 * [misc]backup-simplify: Simplify 0 into 0 1544005326.815 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544005326.816 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005326.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005326.818 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.819 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544005326.819 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005326.819 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544005326.820 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544005326.821 * [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))))))) 1544005326.823 * [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))))))) 1544005326.824 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005326.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005326.831 * [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 1544005326.831 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544005326.831 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.832 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.832 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005326.832 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544005326.834 * [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 1544005326.834 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.834 * [misc]backup-simplify: Simplify 0 into 0 1544005326.834 * [misc]backup-simplify: Simplify 0 into 0 1544005326.834 * [misc]backup-simplify: Simplify 0 into 0 1544005326.835 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544005326.836 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005326.839 * [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 1544005326.839 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.839 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544005326.839 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.839 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.840 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544005326.841 * [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))))) 1544005326.842 * [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))))) 1544005326.845 * [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))))) 1544005326.845 * [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)))) 1544005326.845 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544005326.845 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544005326.845 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544005326.846 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544005326.846 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544005326.846 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.846 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.846 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005326.846 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.846 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.846 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.846 * [misc]taylor: Taking taylor expansion of k in k 1544005326.846 * [misc]backup-simplify: Simplify 0 into 0 1544005326.846 * [misc]backup-simplify: Simplify 1 into 1 1544005326.846 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.846 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544005326.846 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544005326.846 * [misc]taylor: Taking taylor expansion of 2 in k 1544005326.846 * [misc]backup-simplify: Simplify 2 into 2 1544005326.846 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005326.846 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.846 * [misc]backup-simplify: Simplify PI into PI 1544005326.846 * [misc]taylor: Taking taylor expansion of n in k 1544005326.846 * [misc]backup-simplify: Simplify n into n 1544005326.846 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005326.846 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544005326.846 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544005326.846 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005326.846 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005326.846 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544005326.846 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544005326.847 * [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)))) 1544005326.847 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544005326.847 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005326.847 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005326.847 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544005326.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.847 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005326.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.847 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.847 * [misc]taylor: Taking taylor expansion of k in n 1544005326.847 * [misc]backup-simplify: Simplify k into k 1544005326.847 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.847 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005326.847 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005326.847 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.847 * [misc]backup-simplify: Simplify 2 into 2 1544005326.847 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.847 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.847 * [misc]backup-simplify: Simplify PI into PI 1544005326.847 * [misc]taylor: Taking taylor expansion of n in n 1544005326.847 * [misc]backup-simplify: Simplify 0 into 0 1544005326.847 * [misc]backup-simplify: Simplify 1 into 1 1544005326.847 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.847 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.848 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.848 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005326.848 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005326.848 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544005326.848 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.849 * [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))) 1544005326.849 * [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)))) 1544005326.849 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544005326.849 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005326.849 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005326.849 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544005326.849 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.849 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005326.849 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.849 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.849 * [misc]taylor: Taking taylor expansion of k in n 1544005326.849 * [misc]backup-simplify: Simplify k into k 1544005326.849 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.849 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005326.849 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005326.849 * [misc]taylor: Taking taylor expansion of 2 in n 1544005326.849 * [misc]backup-simplify: Simplify 2 into 2 1544005326.849 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.849 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.849 * [misc]backup-simplify: Simplify PI into PI 1544005326.849 * [misc]taylor: Taking taylor expansion of n in n 1544005326.849 * [misc]backup-simplify: Simplify 0 into 0 1544005326.849 * [misc]backup-simplify: Simplify 1 into 1 1544005326.850 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.850 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.850 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.850 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005326.850 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005326.850 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544005326.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.851 * [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))) 1544005326.851 * [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)))) 1544005326.852 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544005326.852 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544005326.852 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544005326.852 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.852 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005326.852 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.852 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.852 * [misc]taylor: Taking taylor expansion of k in k 1544005326.852 * [misc]backup-simplify: Simplify 0 into 0 1544005326.852 * [misc]backup-simplify: Simplify 1 into 1 1544005326.852 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.852 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005326.852 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005326.852 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005326.852 * [misc]taylor: Taking taylor expansion of 2 in k 1544005326.852 * [misc]backup-simplify: Simplify 2 into 2 1544005326.852 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.852 * [misc]backup-simplify: Simplify PI into PI 1544005326.852 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005326.852 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005326.852 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005326.852 * [misc]taylor: Taking taylor expansion of n in k 1544005326.852 * [misc]backup-simplify: Simplify n into n 1544005326.853 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005326.853 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005326.853 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005326.853 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544005326.853 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005326.853 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005326.854 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005326.854 * [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)))) 1544005326.854 * [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)))) 1544005326.855 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005326.855 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005326.857 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005326.857 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005326.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005326.857 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.857 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.858 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.858 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544005326.859 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005326.859 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.859 * [misc]backup-simplify: Simplify 0 into 0 1544005326.859 * [misc]backup-simplify: Simplify 0 into 0 1544005326.859 * [misc]backup-simplify: Simplify 0 into 0 1544005326.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.862 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005326.867 * [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 1544005326.867 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.868 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005326.868 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.868 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.869 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.870 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544005326.872 * [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 1544005326.872 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.872 * [misc]backup-simplify: Simplify 0 into 0 1544005326.872 * [misc]backup-simplify: Simplify 0 into 0 1544005326.872 * [misc]backup-simplify: Simplify 0 into 0 1544005326.872 * [misc]backup-simplify: Simplify 0 into 0 1544005326.874 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.876 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005326.884 * [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 1544005326.884 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.884 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544005326.884 * [misc]backup-simplify: Simplify (- 0) into 0 1544005326.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005326.886 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544005326.890 * [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 1544005326.890 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.890 * [misc]backup-simplify: Simplify 0 into 0 1544005326.890 * [misc]backup-simplify: Simplify 0 into 0 1544005326.891 * [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))))) 1544005326.891 * [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)) 1544005326.891 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544005326.891 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544005326.891 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544005326.891 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544005326.891 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544005326.891 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005326.891 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.891 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.891 * [misc]taylor: Taking taylor expansion of k in k 1544005326.891 * [misc]backup-simplify: Simplify 0 into 0 1544005326.891 * [misc]backup-simplify: Simplify 1 into 1 1544005326.892 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.892 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.892 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544005326.892 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544005326.892 * [misc]taylor: Taking taylor expansion of -2 in k 1544005326.892 * [misc]backup-simplify: Simplify -2 into -2 1544005326.892 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005326.892 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.892 * [misc]backup-simplify: Simplify PI into PI 1544005326.892 * [misc]taylor: Taking taylor expansion of n in k 1544005326.892 * [misc]backup-simplify: Simplify n into n 1544005326.892 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005326.892 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544005326.892 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544005326.892 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005326.892 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544005326.892 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544005326.892 * [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))) 1544005326.892 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544005326.892 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544005326.892 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544005326.892 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544005326.892 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005326.892 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.892 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.892 * [misc]taylor: Taking taylor expansion of k in n 1544005326.892 * [misc]backup-simplify: Simplify k into k 1544005326.892 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.892 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.893 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005326.893 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005326.893 * [misc]taylor: Taking taylor expansion of -2 in n 1544005326.893 * [misc]backup-simplify: Simplify -2 into -2 1544005326.893 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.893 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.893 * [misc]backup-simplify: Simplify PI into PI 1544005326.893 * [misc]taylor: Taking taylor expansion of n in n 1544005326.893 * [misc]backup-simplify: Simplify 0 into 0 1544005326.893 * [misc]backup-simplify: Simplify 1 into 1 1544005326.893 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.893 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005326.893 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005326.893 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005326.894 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544005326.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005326.894 * [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))) 1544005326.895 * [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)))) 1544005326.895 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544005326.895 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544005326.895 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544005326.895 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544005326.895 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005326.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.895 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005326.895 * [misc]taylor: Taking taylor expansion of k in n 1544005326.895 * [misc]backup-simplify: Simplify k into k 1544005326.895 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005326.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005326.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.895 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005326.895 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005326.895 * [misc]taylor: Taking taylor expansion of -2 in n 1544005326.895 * [misc]backup-simplify: Simplify -2 into -2 1544005326.895 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005326.895 * [misc]taylor: Taking taylor expansion of PI in n 1544005326.895 * [misc]backup-simplify: Simplify PI into PI 1544005326.895 * [misc]taylor: Taking taylor expansion of n in n 1544005326.895 * [misc]backup-simplify: Simplify 0 into 0 1544005326.895 * [misc]backup-simplify: Simplify 1 into 1 1544005326.895 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005326.895 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005326.896 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005326.896 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005326.896 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544005326.896 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005326.897 * [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))) 1544005326.897 * [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)))) 1544005326.897 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544005326.897 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544005326.897 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544005326.897 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005326.897 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.897 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005326.897 * [misc]taylor: Taking taylor expansion of k in k 1544005326.897 * [misc]backup-simplify: Simplify 0 into 0 1544005326.897 * [misc]backup-simplify: Simplify 1 into 1 1544005326.897 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005326.897 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005326.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005326.897 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544005326.897 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544005326.897 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544005326.898 * [misc]taylor: Taking taylor expansion of -2 in k 1544005326.898 * [misc]backup-simplify: Simplify -2 into -2 1544005326.898 * [misc]taylor: Taking taylor expansion of PI in k 1544005326.898 * [misc]backup-simplify: Simplify PI into PI 1544005326.898 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005326.898 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005326.898 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005326.898 * [misc]taylor: Taking taylor expansion of n in k 1544005326.898 * [misc]backup-simplify: Simplify n into n 1544005326.898 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005326.898 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005326.898 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544005326.898 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005326.899 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544005326.899 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544005326.899 * [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)))) 1544005326.900 * [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)))) 1544005326.901 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005326.901 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005326.902 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544005326.903 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005326.903 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005326.903 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.903 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005326.904 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544005326.905 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005326.905 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.905 * [misc]backup-simplify: Simplify 0 into 0 1544005326.905 * [misc]backup-simplify: Simplify 0 into 0 1544005326.905 * [misc]backup-simplify: Simplify 0 into 0 1544005326.906 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.906 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005326.909 * [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 1544005326.909 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.909 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005326.910 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.910 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005326.910 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544005326.912 * [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 1544005326.912 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.912 * [misc]backup-simplify: Simplify 0 into 0 1544005326.912 * [misc]backup-simplify: Simplify 0 into 0 1544005326.913 * [misc]backup-simplify: Simplify 0 into 0 1544005326.913 * [misc]backup-simplify: Simplify 0 into 0 1544005326.914 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005326.915 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005326.920 * [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 1544005326.920 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005326.920 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544005326.921 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005326.921 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005326.922 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544005326.925 * [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 1544005326.926 * [misc]taylor: Taking taylor expansion of 0 in k 1544005326.926 * [misc]backup-simplify: Simplify 0 into 0 1544005326.926 * [misc]backup-simplify: Simplify 0 into 0 1544005326.926 * [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))))) 1544005326.926 * * * [misc]progress: simplifying candidates 1544005326.926 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1544005326.927 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1544005326.928 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544005326.928 * * [misc]simplify: iters left: 6 (14 enodes) 1544005326.932 * * [misc]simplify: iters left: 5 (27 enodes) 1544005326.940 * * [misc]simplify: iters left: 4 (55 enodes) 1544005326.961 * * [misc]simplify: iters left: 3 (144 enodes) 1544005327.036 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544005327.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544005327.036 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1544005327.037 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544005327.037 * * [misc]simplify: iters left: 6 (14 enodes) 1544005327.041 * * [misc]simplify: iters left: 5 (27 enodes) 1544005327.050 * * [misc]simplify: iters left: 4 (55 enodes) 1544005327.072 * * [misc]simplify: iters left: 3 (144 enodes) 1544005327.154 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544005327.154 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544005327.154 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1544005327.154 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544005327.154 * * [misc]simplify: iters left: 6 (14 enodes) 1544005327.157 * * [misc]simplify: iters left: 5 (24 enodes) 1544005327.161 * * [misc]simplify: iters left: 4 (43 enodes) 1544005327.167 * * [misc]simplify: iters left: 3 (73 enodes) 1544005327.192 * * [misc]simplify: iters left: 2 (220 enodes) 1544005327.411 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544005327.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544005327.412 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1544005327.412 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1544005327.412 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1544005327.412 * [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))) 1544005327.412 * * [misc]simplify: iters left: 6 (16 enodes) 1544005327.418 * * [misc]simplify: iters left: 5 (31 enodes) 1544005327.428 * * [misc]simplify: iters left: 4 (67 enodes) 1544005327.443 * * [misc]simplify: iters left: 3 (124 enodes) 1544005327.469 * * [misc]simplify: iters left: 2 (195 enodes) 1544005327.553 * * [misc]simplify: iters left: 1 (309 enodes) 1544005327.702 * [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)))) 1544005327.703 * [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)))))) 1544005327.703 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1544005327.703 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1544005327.703 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1544005327.703 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1544005327.703 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1544005327.703 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005327.703 * * [misc]simplify: iters left: 6 (12 enodes) 1544005327.707 * * [misc]simplify: iters left: 5 (19 enodes) 1544005327.713 * * [misc]simplify: iters left: 4 (25 enodes) 1544005327.719 * * [misc]simplify: iters left: 3 (26 enodes) 1544005327.727 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005327.728 * [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))))) 1544005327.728 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544005327.728 * * [misc]simplify: iters left: 6 (12 enodes) 1544005327.730 * * [misc]simplify: iters left: 5 (18 enodes) 1544005327.732 * * [misc]simplify: iters left: 4 (24 enodes) 1544005327.735 * * [misc]simplify: iters left: 3 (25 enodes) 1544005327.738 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544005327.738 * [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))))) 1544005327.738 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1544005327.739 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544005327.739 * * [misc]simplify: iters left: 6 (11 enodes) 1544005327.740 * * [misc]simplify: iters left: 5 (16 enodes) 1544005327.743 * * [misc]simplify: iters left: 4 (22 enodes) 1544005327.746 * * [misc]simplify: iters left: 3 (24 enodes) 1544005327.749 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544005327.749 * [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))))) 1544005327.749 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544005327.749 * * [misc]simplify: iters left: 6 (12 enodes) 1544005327.751 * * [misc]simplify: iters left: 5 (18 enodes) 1544005327.753 * * [misc]simplify: iters left: 4 (24 enodes) 1544005327.756 * * [misc]simplify: iters left: 3 (25 enodes) 1544005327.760 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005327.760 * [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))))) 1544005327.760 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1544005327.760 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544005327.760 * * [misc]simplify: iters left: 6 (9 enodes) 1544005327.762 * * [misc]simplify: iters left: 5 (16 enodes) 1544005327.764 * * [misc]simplify: iters left: 4 (24 enodes) 1544005327.767 * * [misc]simplify: iters left: 3 (26 enodes) 1544005327.770 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544005327.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544005327.770 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544005327.770 * * [misc]simplify: iters left: 6 (11 enodes) 1544005327.772 * * [misc]simplify: iters left: 5 (17 enodes) 1544005327.774 * * [misc]simplify: iters left: 4 (23 enodes) 1544005327.777 * * [misc]simplify: iters left: 3 (24 enodes) 1544005327.781 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005327.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005327.781 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1544005327.781 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005327.782 * * [misc]simplify: iters left: 6 (12 enodes) 1544005327.785 * * [misc]simplify: iters left: 5 (19 enodes) 1544005327.791 * * [misc]simplify: iters left: 4 (25 enodes) 1544005327.797 * * [misc]simplify: iters left: 3 (26 enodes) 1544005327.804 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005327.804 * [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))))) 1544005327.804 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544005327.804 * * [misc]simplify: iters left: 6 (12 enodes) 1544005327.808 * * [misc]simplify: iters left: 5 (18 enodes) 1544005327.812 * * [misc]simplify: iters left: 4 (24 enodes) 1544005327.816 * * [misc]simplify: iters left: 3 (25 enodes) 1544005327.819 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544005327.819 * [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))))) 1544005327.819 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1544005327.819 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544005327.820 * * [misc]simplify: iters left: 6 (11 enodes) 1544005327.821 * * [misc]simplify: iters left: 5 (16 enodes) 1544005327.823 * * [misc]simplify: iters left: 4 (22 enodes) 1544005327.826 * * [misc]simplify: iters left: 3 (24 enodes) 1544005327.829 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544005327.829 * [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))))) 1544005327.829 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544005327.829 * * [misc]simplify: iters left: 6 (12 enodes) 1544005327.831 * * [misc]simplify: iters left: 5 (18 enodes) 1544005327.834 * * [misc]simplify: iters left: 4 (24 enodes) 1544005327.837 * * [misc]simplify: iters left: 3 (25 enodes) 1544005327.840 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005327.840 * [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))))) 1544005327.840 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1544005327.840 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544005327.840 * * [misc]simplify: iters left: 6 (9 enodes) 1544005327.841 * * [misc]simplify: iters left: 5 (16 enodes) 1544005327.844 * * [misc]simplify: iters left: 4 (24 enodes) 1544005327.847 * * [misc]simplify: iters left: 3 (26 enodes) 1544005327.850 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544005327.850 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544005327.850 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544005327.850 * * [misc]simplify: iters left: 6 (11 enodes) 1544005327.852 * * [misc]simplify: iters left: 5 (17 enodes) 1544005327.854 * * [misc]simplify: iters left: 4 (23 enodes) 1544005327.857 * * [misc]simplify: iters left: 3 (24 enodes) 1544005327.860 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005327.860 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005327.860 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1544005327.860 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005327.860 * * [misc]simplify: iters left: 6 (11 enodes) 1544005327.862 * * [misc]simplify: iters left: 5 (15 enodes) 1544005327.865 * * [misc]simplify: iters left: 4 (18 enodes) 1544005327.870 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005327.870 * [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))))) 1544005327.870 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544005327.870 * * [misc]simplify: iters left: 6 (11 enodes) 1544005327.873 * * [misc]simplify: iters left: 5 (14 enodes) 1544005327.877 * * [misc]simplify: iters left: 4 (17 enodes) 1544005327.882 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544005327.882 * [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))))) 1544005327.882 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1544005327.882 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544005327.882 * * [misc]simplify: iters left: 6 (10 enodes) 1544005327.885 * * [misc]simplify: iters left: 5 (12 enodes) 1544005327.889 * * [misc]simplify: iters left: 4 (15 enodes) 1544005327.892 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544005327.892 * [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))))) 1544005327.892 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544005327.892 * * [misc]simplify: iters left: 6 (11 enodes) 1544005327.894 * * [misc]simplify: iters left: 5 (14 enodes) 1544005327.896 * * [misc]simplify: iters left: 4 (17 enodes) 1544005327.898 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544005327.898 * [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))))) 1544005327.898 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1544005327.898 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544005327.898 * * [misc]simplify: iters left: 6 (9 enodes) 1544005327.899 * * [misc]simplify: iters left: 5 (13 enodes) 1544005327.903 * * [misc]simplify: iters left: 4 (18 enodes) 1544005327.905 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544005327.905 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544005327.905 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544005327.905 * * [misc]simplify: iters left: 6 (10 enodes) 1544005327.906 * * [misc]simplify: iters left: 5 (13 enodes) 1544005327.908 * * [misc]simplify: iters left: 4 (16 enodes) 1544005327.910 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544005327.910 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544005327.910 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1544005327.911 * [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)))) 1544005327.911 * * [misc]simplify: iters left: 6 (16 enodes) 1544005327.913 * * [misc]simplify: iters left: 5 (28 enodes) 1544005327.917 * * [misc]simplify: iters left: 4 (46 enodes) 1544005327.923 * * [misc]simplify: iters left: 3 (50 enodes) 1544005327.929 * * [misc]simplify: iters left: 2 (53 enodes) 1544005327.936 * [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)))) 1544005327.936 * [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))))) 1544005327.936 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544005327.936 * * [misc]simplify: iters left: 6 (14 enodes) 1544005327.938 * * [misc]simplify: iters left: 5 (20 enodes) 1544005327.941 * * [misc]simplify: iters left: 4 (29 enodes) 1544005327.945 * * [misc]simplify: iters left: 3 (30 enodes) 1544005327.949 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544005327.949 * [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))))) 1544005327.949 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1544005327.949 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544005327.949 * * [misc]simplify: iters left: 6 (15 enodes) 1544005327.951 * * [misc]simplify: iters left: 5 (23 enodes) 1544005327.955 * * [misc]simplify: iters left: 4 (34 enodes) 1544005327.959 * * [misc]simplify: iters left: 3 (37 enodes) 1544005327.964 * [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)))))) 1544005327.965 * [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))))) 1544005327.965 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544005327.965 * * [misc]simplify: iters left: 6 (14 enodes) 1544005327.969 * * [misc]simplify: iters left: 5 (20 enodes) 1544005327.975 * * [misc]simplify: iters left: 4 (29 enodes) 1544005327.982 * * [misc]simplify: iters left: 3 (30 enodes) 1544005327.990 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544005327.990 * [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))))) 1544005327.990 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1544005327.990 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544005327.990 * * [misc]simplify: iters left: 6 (14 enodes) 1544005327.994 * * [misc]simplify: iters left: 5 (24 enodes) 1544005328.001 * * [misc]simplify: iters left: 4 (39 enodes) 1544005328.011 * * [misc]simplify: iters left: 3 (54 enodes) 1544005328.026 * * [misc]simplify: iters left: 2 (80 enodes) 1544005328.039 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544005328.039 * [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)))) 1544005328.039 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544005328.039 * * [misc]simplify: iters left: 6 (13 enodes) 1544005328.041 * * [misc]simplify: iters left: 5 (19 enodes) 1544005328.044 * * [misc]simplify: iters left: 4 (28 enodes) 1544005328.048 * * [misc]simplify: iters left: 3 (30 enodes) 1544005328.052 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544005328.052 * [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)))) 1544005328.052 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1544005328.052 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005328.052 * * [misc]simplify: iters left: 6 (15 enodes) 1544005328.055 * * [misc]simplify: iters left: 5 (23 enodes) 1544005328.058 * * [misc]simplify: iters left: 4 (32 enodes) 1544005328.066 * * [misc]simplify: iters left: 3 (34 enodes) 1544005328.075 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005328.075 * [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))))) 1544005328.075 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544005328.075 * * [misc]simplify: iters left: 6 (14 enodes) 1544005328.078 * * [misc]simplify: iters left: 5 (20 enodes) 1544005328.081 * * [misc]simplify: iters left: 4 (29 enodes) 1544005328.084 * * [misc]simplify: iters left: 3 (30 enodes) 1544005328.088 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544005328.088 * [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))))) 1544005328.088 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1544005328.088 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544005328.089 * * [misc]simplify: iters left: 6 (14 enodes) 1544005328.091 * * [misc]simplify: iters left: 5 (20 enodes) 1544005328.094 * * [misc]simplify: iters left: 4 (29 enodes) 1544005328.098 * * [misc]simplify: iters left: 3 (30 enodes) 1544005328.102 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544005328.102 * [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))))) 1544005328.102 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544005328.102 * * [misc]simplify: iters left: 6 (14 enodes) 1544005328.106 * * [misc]simplify: iters left: 5 (20 enodes) 1544005328.112 * * [misc]simplify: iters left: 4 (29 enodes) 1544005328.119 * * [misc]simplify: iters left: 3 (30 enodes) 1544005328.127 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544005328.127 * [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))))) 1544005328.127 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1544005328.127 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544005328.127 * * [misc]simplify: iters left: 6 (13 enodes) 1544005328.132 * * [misc]simplify: iters left: 5 (21 enodes) 1544005328.139 * * [misc]simplify: iters left: 4 (32 enodes) 1544005328.147 * * [misc]simplify: iters left: 3 (33 enodes) 1544005328.155 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544005328.155 * [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)))) 1544005328.155 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544005328.155 * * [misc]simplify: iters left: 6 (13 enodes) 1544005328.159 * * [misc]simplify: iters left: 5 (19 enodes) 1544005328.165 * * [misc]simplify: iters left: 4 (28 enodes) 1544005328.173 * * [misc]simplify: iters left: 3 (30 enodes) 1544005328.181 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544005328.181 * [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)))) 1544005328.181 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1544005328.181 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005328.181 * * [misc]simplify: iters left: 6 (6 enodes) 1544005328.183 * * [misc]simplify: iters left: 5 (10 enodes) 1544005328.186 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544005328.186 * [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))))) 1544005328.187 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544005328.187 * * [misc]simplify: iters left: 6 (13 enodes) 1544005328.191 * * [misc]simplify: iters left: 5 (19 enodes) 1544005328.196 * * [misc]simplify: iters left: 4 (28 enodes) 1544005328.204 * * [misc]simplify: iters left: 3 (30 enodes) 1544005328.207 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544005328.207 * [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))))) 1544005328.207 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1544005328.208 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544005328.208 * * [misc]simplify: iters left: 4 (5 enodes) 1544005328.208 * * [misc]simplify: iters left: 3 (7 enodes) 1544005328.209 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544005328.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544005328.209 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544005328.210 * * [misc]simplify: iters left: 6 (13 enodes) 1544005328.211 * * [misc]simplify: iters left: 5 (19 enodes) 1544005328.214 * * [misc]simplify: iters left: 4 (28 enodes) 1544005328.219 * * [misc]simplify: iters left: 3 (30 enodes) 1544005328.223 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544005328.223 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544005328.223 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1544005328.223 * [enter]simplify: Simplifying (/ 1 1) 1544005328.223 * * [misc]simplify: iters left: 2 (2 enodes) 1544005328.223 * * [misc]simplify: iters left: 1 (4 enodes) 1544005328.224 * [exit]simplify: Simplified to 1 1544005328.224 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1544005328.224 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544005328.224 * * [misc]simplify: iters left: 6 (12 enodes) 1544005328.226 * * [misc]simplify: iters left: 5 (18 enodes) 1544005328.228 * * [misc]simplify: iters left: 4 (27 enodes) 1544005328.232 * * [misc]simplify: iters left: 3 (29 enodes) 1544005328.236 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544005328.236 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544005328.236 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1544005328.236 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1544005328.236 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1544005328.236 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1544005328.236 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544005328.236 * * [misc]simplify: iters left: 2 (3 enodes) 1544005328.236 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544005328.236 * [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)))) 1544005328.237 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1544005328.237 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544005328.237 * * [misc]simplify: iters left: 2 (3 enodes) 1544005328.237 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544005328.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544005328.237 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1544005328.237 * [enter]simplify: Simplifying (sqrt k) 1544005328.237 * * [misc]simplify: iters left: 1 (2 enodes) 1544005328.238 * [exit]simplify: Simplified to (sqrt k) 1544005328.238 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1544005328.238 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1544005328.238 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544005328.238 * * [misc]simplify: iters left: 5 (7 enodes) 1544005328.239 * * [misc]simplify: iters left: 4 (12 enodes) 1544005328.241 * * [misc]simplify: iters left: 3 (18 enodes) 1544005328.243 * * [misc]simplify: iters left: 2 (20 enodes) 1544005328.246 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544005328.246 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544005328.246 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1544005328.246 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544005328.246 * * [misc]simplify: iters left: 5 (7 enodes) 1544005328.247 * * [misc]simplify: iters left: 4 (12 enodes) 1544005328.249 * * [misc]simplify: iters left: 3 (18 enodes) 1544005328.251 * * [misc]simplify: iters left: 2 (20 enodes) 1544005328.254 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544005328.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544005328.254 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1544005328.254 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544005328.254 * * [misc]simplify: iters left: 5 (7 enodes) 1544005328.255 * * [misc]simplify: iters left: 4 (9 enodes) 1544005328.257 * * [misc]simplify: iters left: 3 (12 enodes) 1544005328.258 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544005328.258 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544005328.258 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1544005328.258 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1544005328.259 * * [misc]simplify: iters left: 6 (12 enodes) 1544005328.260 * * [misc]simplify: iters left: 5 (18 enodes) 1544005328.263 * * [misc]simplify: iters left: 4 (27 enodes) 1544005328.270 * * [misc]simplify: iters left: 3 (29 enodes) 1544005328.278 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544005328.278 * [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))))))) 1544005328.278 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1544005328.278 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1544005328.278 * * [misc]simplify: iters left: 6 (11 enodes) 1544005328.282 * * [misc]simplify: iters left: 5 (17 enodes) 1544005328.287 * * [misc]simplify: iters left: 4 (26 enodes) 1544005328.294 * * [misc]simplify: iters left: 3 (27 enodes) 1544005328.301 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1544005328.301 * [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))))))) 1544005328.301 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1544005328.301 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1544005328.301 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544005328.301 * * [misc]simplify: iters left: 5 (7 enodes) 1544005328.304 * * [misc]simplify: iters left: 4 (12 enodes) 1544005328.307 * * [misc]simplify: iters left: 3 (18 enodes) 1544005328.312 * * [misc]simplify: iters left: 2 (20 enodes) 1544005328.317 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544005328.317 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1544005328.317 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1544005328.317 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1544005328.317 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1544005328.317 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1544005328.318 * * [misc]simplify: iters left: 6 (11 enodes) 1544005328.322 * * [misc]simplify: iters left: 5 (21 enodes) 1544005328.330 * * [misc]simplify: iters left: 4 (47 enodes) 1544005328.348 * * [misc]simplify: iters left: 3 (113 enodes) 1544005328.389 * * [misc]simplify: iters left: 2 (328 enodes) 1544005328.639 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1544005328.639 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1544005328.639 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1544005328.639 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1544005328.639 * [enter]simplify: Simplifying (* PI (* n 2)) 1544005328.639 * * [misc]simplify: iters left: 4 (5 enodes) 1544005328.641 * * [misc]simplify: iters left: 3 (9 enodes) 1544005328.644 * * [misc]simplify: iters left: 2 (15 enodes) 1544005328.648 * * [misc]simplify: iters left: 1 (17 enodes) 1544005328.652 * [exit]simplify: Simplified to (* (* 2 n) PI) 1544005328.652 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1544005328.652 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1544005328.652 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1544005328.652 * * [misc]simplify: iters left: 5 (8 enodes) 1544005328.655 * * [misc]simplify: iters left: 4 (12 enodes) 1544005328.659 * * [misc]simplify: iters left: 3 (18 enodes) 1544005328.664 * * [misc]simplify: iters left: 2 (20 enodes) 1544005328.669 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1544005328.669 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1544005328.669 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1544005328.670 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544005328.670 * * [misc]simplify: iters left: 5 (6 enodes) 1544005328.672 * * [misc]simplify: iters left: 4 (8 enodes) 1544005328.674 * * [misc]simplify: iters left: 3 (11 enodes) 1544005328.677 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544005328.677 * [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))) 1544005328.677 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1544005328.677 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544005328.678 * * [misc]simplify: iters left: 5 (6 enodes) 1544005328.679 * * [misc]simplify: iters left: 4 (8 enodes) 1544005328.682 * * [misc]simplify: iters left: 3 (11 enodes) 1544005328.685 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544005328.685 * [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))) 1544005328.685 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1544005328.685 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544005328.685 * * [misc]simplify: iters left: 4 (5 enodes) 1544005328.687 * * [misc]simplify: iters left: 3 (7 enodes) 1544005328.693 * * [misc]simplify: iters left: 2 (10 enodes) 1544005328.695 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544005328.695 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1544005328.696 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1544005328.696 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544005328.696 * * [misc]simplify: iters left: 5 (9 enodes) 1544005328.699 * * [misc]simplify: iters left: 4 (15 enodes) 1544005328.703 * * [misc]simplify: iters left: 3 (21 enodes) 1544005328.708 * * [misc]simplify: iters left: 2 (22 enodes) 1544005328.711 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544005328.711 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544005328.711 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1544005328.711 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544005328.711 * * [misc]simplify: iters left: 5 (9 enodes) 1544005328.713 * * [misc]simplify: iters left: 4 (15 enodes) 1544005328.715 * * [misc]simplify: iters left: 3 (21 enodes) 1544005328.718 * * [misc]simplify: iters left: 2 (22 enodes) 1544005328.721 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544005328.721 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544005328.721 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1544005328.721 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544005328.721 * * [misc]simplify: iters left: 5 (7 enodes) 1544005328.722 * * [misc]simplify: iters left: 4 (9 enodes) 1544005328.724 * * [misc]simplify: iters left: 3 (12 enodes) 1544005328.725 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544005328.725 * [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))) 1544005328.725 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1544005328.725 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1544005328.725 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1544005328.725 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1544005328.725 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1544005328.725 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1544005328.726 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1544005328.726 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1544005328.726 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005328.726 * * [misc]simplify: iters left: 4 (5 enodes) 1544005328.727 * * [misc]simplify: iters left: 3 (9 enodes) 1544005328.728 * * [misc]simplify: iters left: 2 (15 enodes) 1544005328.730 * * [misc]simplify: iters left: 1 (17 enodes) 1544005328.732 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005328.732 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544005328.732 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1544005328.732 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005328.732 * * [misc]simplify: iters left: 4 (5 enodes) 1544005328.733 * * [misc]simplify: iters left: 3 (9 enodes) 1544005328.734 * * [misc]simplify: iters left: 2 (15 enodes) 1544005328.736 * * [misc]simplify: iters left: 1 (17 enodes) 1544005328.738 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005328.738 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544005328.738 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1544005328.739 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005328.739 * * [misc]simplify: iters left: 4 (5 enodes) 1544005328.740 * * [misc]simplify: iters left: 3 (9 enodes) 1544005328.742 * * [misc]simplify: iters left: 2 (15 enodes) 1544005328.746 * * [misc]simplify: iters left: 1 (17 enodes) 1544005328.750 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005328.750 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544005328.751 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1544005328.751 * [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)))))))))))))))))))))) 1544005328.751 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544005328.751 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1544005328.751 * [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)))))))) 1544005328.751 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544005328.751 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1544005328.752 * [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))))))))))) 1544005328.752 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544005328.752 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1544005328.752 * [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))))) 1544005328.753 * * [misc]simplify: iters left: 6 (37 enodes) 1544005328.768 * * [misc]simplify: iters left: 5 (108 enodes) 1544005328.793 * * [misc]simplify: iters left: 4 (368 enodes) 1544005329.039 * [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)))))) 1544005329.039 * [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))) 1544005329.039 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1544005329.039 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1544005329.039 * * [misc]simplify: iters left: 6 (15 enodes) 1544005329.042 * * [misc]simplify: iters left: 5 (33 enodes) 1544005329.047 * * [misc]simplify: iters left: 4 (64 enodes) 1544005329.068 * * [misc]simplify: iters left: 3 (179 enodes) 1544005329.183 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1544005329.183 * [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))) 1544005329.183 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1544005329.183 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544005329.183 * * [misc]simplify: iters left: 6 (15 enodes) 1544005329.189 * * [misc]simplify: iters left: 5 (30 enodes) 1544005329.202 * * [misc]simplify: iters left: 4 (65 enodes) 1544005329.229 * * [misc]simplify: iters left: 3 (208 enodes) 1544005329.341 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1544005329.341 * [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))) 1544005329.341 * * * [misc]progress: adding candidates to table 1544005330.148 * * [misc]progress: iteration 2 / 4 1544005330.148 * * * [misc]progress: picking best candidate 1544005330.207 * * * * [misc]pick: Picked # 1544005330.209 * * * [misc]progress: localizing error 1544005330.260 * * * [misc]progress: generating rewritten candidates 1544005330.260 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1544005330.265 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) 1544005330.270 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544005330.287 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1544005330.295 * * * [misc]progress: generating series expansions 1544005330.295 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1544005330.295 * [misc]backup-simplify: Simplify (* (* PI 2) n) into (* 2 (* n PI)) 1544005330.295 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544005330.295 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005330.295 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.295 * [misc]backup-simplify: Simplify 2 into 2 1544005330.295 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.295 * [misc]taylor: Taking taylor expansion of n in n 1544005330.295 * [misc]backup-simplify: Simplify 0 into 0 1544005330.295 * [misc]backup-simplify: Simplify 1 into 1 1544005330.295 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.295 * [misc]backup-simplify: Simplify PI into PI 1544005330.295 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005330.295 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.295 * [misc]backup-simplify: Simplify 2 into 2 1544005330.295 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.295 * [misc]taylor: Taking taylor expansion of n in n 1544005330.295 * [misc]backup-simplify: Simplify 0 into 0 1544005330.295 * [misc]backup-simplify: Simplify 1 into 1 1544005330.296 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.296 * [misc]backup-simplify: Simplify PI into PI 1544005330.296 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005330.296 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005330.296 * [misc]backup-simplify: Simplify 0 into 0 1544005330.296 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005330.297 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005330.297 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.298 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005330.298 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005330.298 * [misc]backup-simplify: Simplify 0 into 0 1544005330.299 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.300 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005330.300 * [misc]backup-simplify: Simplify 0 into 0 1544005330.301 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005330.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005330.302 * [misc]backup-simplify: Simplify 0 into 0 1544005330.304 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005330.306 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544005330.306 * [misc]backup-simplify: Simplify 0 into 0 1544005330.308 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005330.309 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544005330.310 * [misc]backup-simplify: Simplify 0 into 0 1544005330.312 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544005330.314 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544005330.314 * [misc]backup-simplify: Simplify 0 into 0 1544005330.314 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544005330.315 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n)) 1544005330.315 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544005330.315 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005330.315 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.315 * [misc]backup-simplify: Simplify 2 into 2 1544005330.315 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.315 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.315 * [misc]backup-simplify: Simplify PI into PI 1544005330.315 * [misc]taylor: Taking taylor expansion of n in n 1544005330.315 * [misc]backup-simplify: Simplify 0 into 0 1544005330.315 * [misc]backup-simplify: Simplify 1 into 1 1544005330.315 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.315 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005330.315 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.315 * [misc]backup-simplify: Simplify 2 into 2 1544005330.315 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.315 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.315 * [misc]backup-simplify: Simplify PI into PI 1544005330.315 * [misc]taylor: Taking taylor expansion of n in n 1544005330.315 * [misc]backup-simplify: Simplify 0 into 0 1544005330.315 * [misc]backup-simplify: Simplify 1 into 1 1544005330.315 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.316 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.316 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.316 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.317 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005330.317 * [misc]backup-simplify: Simplify 0 into 0 1544005330.318 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.318 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005330.318 * [misc]backup-simplify: Simplify 0 into 0 1544005330.319 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.320 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.320 * [misc]backup-simplify: Simplify 0 into 0 1544005330.321 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.322 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005330.322 * [misc]backup-simplify: Simplify 0 into 0 1544005330.324 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.325 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005330.325 * [misc]backup-simplify: Simplify 0 into 0 1544005330.327 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.332 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005330.332 * [misc]backup-simplify: Simplify 0 into 0 1544005330.332 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544005330.333 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n)) 1544005330.333 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544005330.333 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.333 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.333 * [misc]backup-simplify: Simplify -2 into -2 1544005330.333 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.333 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.333 * [misc]backup-simplify: Simplify PI into PI 1544005330.333 * [misc]taylor: Taking taylor expansion of n in n 1544005330.333 * [misc]backup-simplify: Simplify 0 into 0 1544005330.333 * [misc]backup-simplify: Simplify 1 into 1 1544005330.333 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.333 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.333 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.333 * [misc]backup-simplify: Simplify -2 into -2 1544005330.333 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.333 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.333 * [misc]backup-simplify: Simplify PI into PI 1544005330.333 * [misc]taylor: Taking taylor expansion of n in n 1544005330.333 * [misc]backup-simplify: Simplify 0 into 0 1544005330.333 * [misc]backup-simplify: Simplify 1 into 1 1544005330.333 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.333 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.334 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.334 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.335 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005330.335 * [misc]backup-simplify: Simplify 0 into 0 1544005330.335 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.336 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005330.336 * [misc]backup-simplify: Simplify 0 into 0 1544005330.337 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.338 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.338 * [misc]backup-simplify: Simplify 0 into 0 1544005330.339 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.340 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005330.340 * [misc]backup-simplify: Simplify 0 into 0 1544005330.342 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.343 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005330.343 * [misc]backup-simplify: Simplify 0 into 0 1544005330.345 * [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 1544005330.347 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005330.347 * [misc]backup-simplify: Simplify 0 into 0 1544005330.347 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544005330.347 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) 1544005330.347 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544005330.347 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544005330.347 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005330.347 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.347 * [misc]backup-simplify: Simplify 2 into 2 1544005330.347 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.347 * [misc]taylor: Taking taylor expansion of n in n 1544005330.347 * [misc]backup-simplify: Simplify 0 into 0 1544005330.347 * [misc]backup-simplify: Simplify 1 into 1 1544005330.347 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.347 * [misc]backup-simplify: Simplify PI into PI 1544005330.347 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005330.347 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.347 * [misc]backup-simplify: Simplify 2 into 2 1544005330.347 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.347 * [misc]taylor: Taking taylor expansion of n in n 1544005330.347 * [misc]backup-simplify: Simplify 0 into 0 1544005330.347 * [misc]backup-simplify: Simplify 1 into 1 1544005330.347 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.347 * [misc]backup-simplify: Simplify PI into PI 1544005330.348 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005330.348 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005330.348 * [misc]backup-simplify: Simplify 0 into 0 1544005330.348 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005330.348 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005330.349 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.349 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005330.350 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005330.350 * [misc]backup-simplify: Simplify 0 into 0 1544005330.351 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.352 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005330.352 * [misc]backup-simplify: Simplify 0 into 0 1544005330.353 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005330.354 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005330.354 * [misc]backup-simplify: Simplify 0 into 0 1544005330.356 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005330.357 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544005330.357 * [misc]backup-simplify: Simplify 0 into 0 1544005330.359 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005330.363 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544005330.363 * [misc]backup-simplify: Simplify 0 into 0 1544005330.367 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544005330.371 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544005330.371 * [misc]backup-simplify: Simplify 0 into 0 1544005330.371 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544005330.371 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544005330.372 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544005330.372 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005330.372 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.372 * [misc]backup-simplify: Simplify 2 into 2 1544005330.372 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.372 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.372 * [misc]backup-simplify: Simplify PI into PI 1544005330.372 * [misc]taylor: Taking taylor expansion of n in n 1544005330.372 * [misc]backup-simplify: Simplify 0 into 0 1544005330.372 * [misc]backup-simplify: Simplify 1 into 1 1544005330.372 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.372 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005330.372 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.372 * [misc]backup-simplify: Simplify 2 into 2 1544005330.372 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.372 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.372 * [misc]backup-simplify: Simplify PI into PI 1544005330.372 * [misc]taylor: Taking taylor expansion of n in n 1544005330.372 * [misc]backup-simplify: Simplify 0 into 0 1544005330.372 * [misc]backup-simplify: Simplify 1 into 1 1544005330.373 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.373 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.373 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.374 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.375 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005330.375 * [misc]backup-simplify: Simplify 0 into 0 1544005330.376 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.377 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005330.377 * [misc]backup-simplify: Simplify 0 into 0 1544005330.379 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.381 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.381 * [misc]backup-simplify: Simplify 0 into 0 1544005330.383 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.385 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005330.385 * [misc]backup-simplify: Simplify 0 into 0 1544005330.387 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.389 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005330.389 * [misc]backup-simplify: Simplify 0 into 0 1544005330.390 * [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 1544005330.392 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005330.392 * [misc]backup-simplify: Simplify 0 into 0 1544005330.393 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544005330.393 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544005330.393 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544005330.393 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.393 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.393 * [misc]backup-simplify: Simplify -2 into -2 1544005330.393 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.393 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.393 * [misc]backup-simplify: Simplify PI into PI 1544005330.393 * [misc]taylor: Taking taylor expansion of n in n 1544005330.393 * [misc]backup-simplify: Simplify 0 into 0 1544005330.393 * [misc]backup-simplify: Simplify 1 into 1 1544005330.393 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.393 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.393 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.393 * [misc]backup-simplify: Simplify -2 into -2 1544005330.393 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.393 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.393 * [misc]backup-simplify: Simplify PI into PI 1544005330.393 * [misc]taylor: Taking taylor expansion of n in n 1544005330.393 * [misc]backup-simplify: Simplify 0 into 0 1544005330.393 * [misc]backup-simplify: Simplify 1 into 1 1544005330.394 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.394 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.394 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.395 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.395 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005330.395 * [misc]backup-simplify: Simplify 0 into 0 1544005330.396 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.396 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005330.396 * [misc]backup-simplify: Simplify 0 into 0 1544005330.397 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.398 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.398 * [misc]backup-simplify: Simplify 0 into 0 1544005330.399 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.401 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005330.401 * [misc]backup-simplify: Simplify 0 into 0 1544005330.402 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.404 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005330.404 * [misc]backup-simplify: Simplify 0 into 0 1544005330.405 * [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 1544005330.407 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005330.407 * [misc]backup-simplify: Simplify 0 into 0 1544005330.407 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544005330.407 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544005330.408 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) 1544005330.408 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0 1544005330.408 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.408 * [misc]backup-simplify: Simplify 2 into 2 1544005330.408 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.408 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.408 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005330.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.408 * [misc]taylor: Taking taylor expansion of k in k 1544005330.408 * [misc]backup-simplify: Simplify 0 into 0 1544005330.408 * [misc]backup-simplify: Simplify 1 into 1 1544005330.408 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.408 * [misc]backup-simplify: Simplify 2 into 2 1544005330.408 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544005330.408 * [misc]taylor: Taking taylor expansion of n in k 1544005330.408 * [misc]backup-simplify: Simplify n into n 1544005330.408 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.408 * [misc]backup-simplify: Simplify PI into PI 1544005330.408 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544005330.408 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544005330.409 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544005330.409 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544005330.409 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.409 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1544005330.409 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.409 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544005330.409 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544005330.410 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544005330.410 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544005330.410 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005330.410 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544005330.410 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005330.410 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1544005330.410 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1544005330.410 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544005330.410 * [misc]taylor: Taking taylor expansion of n in k 1544005330.410 * [misc]backup-simplify: Simplify n into n 1544005330.410 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.410 * [misc]backup-simplify: Simplify PI into PI 1544005330.410 * [misc]taylor: Taking taylor expansion of k in k 1544005330.410 * [misc]backup-simplify: Simplify 0 into 0 1544005330.410 * [misc]backup-simplify: Simplify 1 into 1 1544005330.410 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544005330.410 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1544005330.411 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.411 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1544005330.411 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.411 * [misc]backup-simplify: Simplify 2 into 2 1544005330.411 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.411 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.411 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.411 * [misc]taylor: Taking taylor expansion of k in n 1544005330.411 * [misc]backup-simplify: Simplify k into k 1544005330.411 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.411 * [misc]backup-simplify: Simplify 2 into 2 1544005330.411 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.411 * [misc]taylor: Taking taylor expansion of n in n 1544005330.411 * [misc]backup-simplify: Simplify 0 into 0 1544005330.411 * [misc]backup-simplify: Simplify 1 into 1 1544005330.412 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.412 * [misc]backup-simplify: Simplify PI into PI 1544005330.412 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005330.412 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005330.413 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005330.413 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005330.414 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.414 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005330.414 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005330.414 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.415 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544005330.416 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544005330.416 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1544005330.416 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1544005330.416 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.416 * [misc]taylor: Taking taylor expansion of n in n 1544005330.416 * [misc]backup-simplify: Simplify 0 into 0 1544005330.416 * [misc]backup-simplify: Simplify 1 into 1 1544005330.416 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.416 * [misc]backup-simplify: Simplify PI into PI 1544005330.416 * [misc]taylor: Taking taylor expansion of k in n 1544005330.416 * [misc]backup-simplify: Simplify k into k 1544005330.416 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005330.417 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005330.417 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1544005330.417 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.417 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1544005330.417 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1544005330.417 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1544005330.417 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544005330.417 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.417 * [misc]backup-simplify: Simplify 2 into 2 1544005330.418 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.418 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.418 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544005330.418 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005330.418 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005330.418 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544005330.418 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005330.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.418 * [misc]taylor: Taking taylor expansion of k in n 1544005330.418 * [misc]backup-simplify: Simplify k into k 1544005330.418 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005330.418 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005330.418 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.418 * [misc]backup-simplify: Simplify 2 into 2 1544005330.418 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.418 * [misc]taylor: Taking taylor expansion of n in n 1544005330.418 * [misc]backup-simplify: Simplify 0 into 0 1544005330.418 * [misc]backup-simplify: Simplify 1 into 1 1544005330.418 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.418 * [misc]backup-simplify: Simplify PI into PI 1544005330.419 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005330.419 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005330.419 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005330.420 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005330.421 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.421 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005330.421 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005330.421 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.422 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544005330.423 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544005330.423 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1544005330.423 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1544005330.423 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.423 * [misc]taylor: Taking taylor expansion of n in n 1544005330.423 * [misc]backup-simplify: Simplify 0 into 0 1544005330.423 * [misc]backup-simplify: Simplify 1 into 1 1544005330.423 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.423 * [misc]backup-simplify: Simplify PI into PI 1544005330.423 * [misc]taylor: Taking taylor expansion of k in n 1544005330.423 * [misc]backup-simplify: Simplify k into k 1544005330.423 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005330.424 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005330.424 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1544005330.424 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.424 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1544005330.425 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1544005330.426 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1544005330.426 * [misc]taylor: Taking taylor expansion of 0 in k 1544005330.426 * [misc]backup-simplify: Simplify 0 into 0 1544005330.426 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005330.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005330.428 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005330.431 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005330.432 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544005330.432 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.433 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.433 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544005330.435 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005330.436 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0 1544005330.437 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) 1544005330.437 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k 1544005330.437 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k 1544005330.437 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.437 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.437 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k 1544005330.437 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1544005330.437 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.437 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.437 * [misc]backup-simplify: Simplify 2 into 2 1544005330.437 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.437 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.437 * [misc]taylor: Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544005330.438 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.438 * [misc]backup-simplify: Simplify PI into PI 1544005330.438 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544005330.438 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544005330.438 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.438 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.438 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544005330.438 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544005330.438 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.438 * [misc]taylor: Taking taylor expansion of n in k 1544005330.438 * [misc]backup-simplify: Simplify n into n 1544005330.438 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.438 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.438 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.438 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.438 * [misc]backup-simplify: Simplify 2 into 2 1544005330.438 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.438 * [misc]backup-simplify: Simplify PI into PI 1544005330.438 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.439 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.439 * [misc]taylor: Taking taylor expansion of k in k 1544005330.439 * [misc]backup-simplify: Simplify 0 into 0 1544005330.439 * [misc]backup-simplify: Simplify 1 into 1 1544005330.439 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.440 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544005330.440 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544005330.441 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544005330.442 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005330.444 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005330.444 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005330.445 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544005330.446 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005330.446 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005330.446 * [misc]taylor: Taking taylor expansion of k in k 1544005330.446 * [misc]backup-simplify: Simplify 0 into 0 1544005330.446 * [misc]backup-simplify: Simplify 1 into 1 1544005330.446 * [misc]backup-simplify: Simplify (* PI 1) into PI 1544005330.447 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1544005330.447 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1544005330.448 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1544005330.448 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544005330.449 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544005330.449 * [misc]backup-simplify: Simplify 0 into 0 1544005330.450 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005330.450 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1544005330.450 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1544005330.450 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005330.452 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.453 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005330.456 * [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 1544005330.456 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.456 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544005330.456 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.457 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.457 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544005330.458 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005330.459 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544005330.460 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0 1544005330.461 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) 1544005330.461 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2))) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.461 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.461 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.461 * [misc]backup-simplify: Simplify 2 into 2 1544005330.461 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.461 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.461 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.461 * [misc]backup-simplify: Simplify PI into PI 1544005330.461 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.461 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.461 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of n in k 1544005330.461 * [misc]backup-simplify: Simplify n into n 1544005330.461 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.461 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.461 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.462 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.462 * [misc]backup-simplify: Simplify 2 into 2 1544005330.462 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.462 * [misc]backup-simplify: Simplify PI into PI 1544005330.462 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.462 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.462 * [misc]taylor: Taking taylor expansion of k in k 1544005330.462 * [misc]backup-simplify: Simplify 0 into 0 1544005330.462 * [misc]backup-simplify: Simplify 1 into 1 1544005330.462 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.463 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544005330.463 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544005330.463 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544005330.464 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005330.465 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005330.465 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005330.466 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544005330.466 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005330.466 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005330.466 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1544005330.466 * [misc]taylor: Taking taylor expansion of k in k 1544005330.466 * [misc]backup-simplify: Simplify 0 into 0 1544005330.466 * [misc]backup-simplify: Simplify 1 into 1 1544005330.467 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544005330.467 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1544005330.467 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1544005330.467 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544005330.468 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1544005330.469 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005330.469 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1544005330.470 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n))))) 1544005330.471 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))) (* 0 (pow PI 2))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1544005330.472 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544005330.474 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1544005330.476 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* 0 (* (sqrt 2) (pow PI 2)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544005330.478 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544005330.480 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544005330.481 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005330.482 * [misc]backup-simplify: Simplify (+ (* PI (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n))))) 1544005330.484 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))) (* 0 PI)) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1544005330.488 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1544005330.490 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 0 (* (sqrt 2) PI))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544005330.493 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544005330.495 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544005330.502 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 1 n)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* (/ 1 k) (pow n 2))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1544005330.503 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 n))) (/ (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) 1544005330.503 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (n k) around 0 1544005330.503 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1544005330.503 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1544005330.503 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.503 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.503 * [misc]backup-simplify: Simplify 2 into 2 1544005330.503 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.504 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.504 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1544005330.504 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544005330.504 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544005330.504 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544005330.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005330.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005330.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005330.504 * [misc]taylor: Taking taylor expansion of k in k 1544005330.504 * [misc]backup-simplify: Simplify 0 into 0 1544005330.504 * [misc]backup-simplify: Simplify 1 into 1 1544005330.504 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005330.504 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544005330.504 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544005330.504 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.504 * [misc]backup-simplify: Simplify 2 into 2 1544005330.504 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005330.504 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.504 * [misc]backup-simplify: Simplify PI into PI 1544005330.504 * [misc]taylor: Taking taylor expansion of n in k 1544005330.504 * [misc]backup-simplify: Simplify n into n 1544005330.504 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005330.504 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544005330.504 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544005330.505 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005330.505 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005330.505 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544005330.505 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1544005330.505 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1544005330.505 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1544005330.505 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1544005330.505 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.505 * [misc]backup-simplify: Simplify PI into PI 1544005330.505 * [misc]taylor: Taking taylor expansion of k in k 1544005330.505 * [misc]backup-simplify: Simplify 0 into 0 1544005330.505 * [misc]backup-simplify: Simplify 1 into 1 1544005330.505 * [misc]taylor: Taking taylor expansion of n in k 1544005330.505 * [misc]backup-simplify: Simplify n into n 1544005330.506 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544005330.506 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544005330.506 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005330.506 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.507 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1544005330.507 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1544005330.507 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1544005330.507 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544005330.507 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.507 * [misc]backup-simplify: Simplify 2 into 2 1544005330.507 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.507 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.507 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544005330.507 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005330.507 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005330.507 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544005330.507 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005330.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.507 * [misc]taylor: Taking taylor expansion of k in n 1544005330.508 * [misc]backup-simplify: Simplify k into k 1544005330.508 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.508 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005330.508 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005330.508 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.508 * [misc]backup-simplify: Simplify 2 into 2 1544005330.508 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.508 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.508 * [misc]backup-simplify: Simplify PI into PI 1544005330.508 * [misc]taylor: Taking taylor expansion of n in n 1544005330.508 * [misc]backup-simplify: Simplify 0 into 0 1544005330.508 * [misc]backup-simplify: Simplify 1 into 1 1544005330.508 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.508 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.509 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.509 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005330.509 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.510 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544005330.511 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.511 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1544005330.511 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1544005330.511 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1544005330.511 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.511 * [misc]backup-simplify: Simplify PI into PI 1544005330.511 * [misc]taylor: Taking taylor expansion of k in n 1544005330.511 * [misc]backup-simplify: Simplify k into k 1544005330.511 * [misc]taylor: Taking taylor expansion of n in n 1544005330.511 * [misc]backup-simplify: Simplify 0 into 0 1544005330.511 * [misc]backup-simplify: Simplify 1 into 1 1544005330.511 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1544005330.511 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1544005330.511 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.512 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1544005330.512 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1544005330.512 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1544005330.512 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544005330.512 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.512 * [misc]backup-simplify: Simplify 2 into 2 1544005330.512 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.512 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.512 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544005330.512 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005330.512 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005330.512 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544005330.512 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005330.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.512 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.512 * [misc]taylor: Taking taylor expansion of k in n 1544005330.512 * [misc]backup-simplify: Simplify k into k 1544005330.512 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.513 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005330.513 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005330.513 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.513 * [misc]backup-simplify: Simplify 2 into 2 1544005330.513 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.513 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.513 * [misc]backup-simplify: Simplify PI into PI 1544005330.513 * [misc]taylor: Taking taylor expansion of n in n 1544005330.513 * [misc]backup-simplify: Simplify 0 into 0 1544005330.513 * [misc]backup-simplify: Simplify 1 into 1 1544005330.513 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.513 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.514 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.514 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005330.514 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.515 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.515 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544005330.516 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.516 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1544005330.516 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1544005330.516 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1544005330.516 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.516 * [misc]backup-simplify: Simplify PI into PI 1544005330.516 * [misc]taylor: Taking taylor expansion of k in n 1544005330.516 * [misc]backup-simplify: Simplify k into k 1544005330.516 * [misc]taylor: Taking taylor expansion of n in n 1544005330.516 * [misc]backup-simplify: Simplify 0 into 0 1544005330.516 * [misc]backup-simplify: Simplify 1 into 1 1544005330.516 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1544005330.516 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1544005330.516 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.517 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1544005330.517 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1544005330.518 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0 1544005330.518 * [misc]taylor: Taking taylor expansion of 0 in k 1544005330.518 * [misc]backup-simplify: Simplify 0 into 0 1544005330.518 * [misc]backup-simplify: Simplify 0 into 0 1544005330.518 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.520 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.520 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005330.523 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005330.523 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005330.523 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005330.523 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.524 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.525 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544005330.526 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005330.527 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1544005330.528 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) 1544005330.528 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.528 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.528 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.528 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.528 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.528 * [misc]backup-simplify: Simplify 2 into 2 1544005330.528 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.528 * [misc]backup-simplify: Simplify PI into PI 1544005330.528 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.528 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.528 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.528 * [misc]taylor: Taking taylor expansion of n in k 1544005330.529 * [misc]backup-simplify: Simplify n into n 1544005330.529 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.529 * [misc]taylor: Taking taylor expansion of k in k 1544005330.529 * [misc]backup-simplify: Simplify 0 into 0 1544005330.529 * [misc]backup-simplify: Simplify 1 into 1 1544005330.529 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.529 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005330.529 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005330.530 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005330.530 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.530 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1544005330.530 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.530 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.530 * [misc]backup-simplify: Simplify 2 into 2 1544005330.530 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.530 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.530 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1544005330.530 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.530 * [misc]backup-simplify: Simplify PI into PI 1544005330.530 * [misc]taylor: Taking taylor expansion of k in k 1544005330.530 * [misc]backup-simplify: Simplify 0 into 0 1544005330.530 * [misc]backup-simplify: Simplify 1 into 1 1544005330.531 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544005330.531 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544005330.531 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1544005330.531 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544005330.531 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.531 * [misc]backup-simplify: Simplify 0 into 0 1544005330.531 * [misc]backup-simplify: Simplify 0 into 0 1544005330.532 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1544005330.532 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1544005330.532 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1544005330.532 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.533 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.534 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005330.537 * [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 1544005330.537 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.537 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.538 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005330.538 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.538 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.539 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544005330.540 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005330.541 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544005330.541 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1544005330.542 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) 1544005330.542 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) in k 1544005330.542 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1544005330.542 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.542 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.542 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1544005330.542 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005330.542 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005330.543 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.543 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.543 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005330.543 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005330.543 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.543 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.543 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.543 * [misc]backup-simplify: Simplify 2 into 2 1544005330.543 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.543 * [misc]backup-simplify: Simplify PI into PI 1544005330.543 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.543 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.543 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.543 * [misc]taylor: Taking taylor expansion of n in k 1544005330.543 * [misc]backup-simplify: Simplify n into n 1544005330.543 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.543 * [misc]taylor: Taking taylor expansion of k in k 1544005330.543 * [misc]backup-simplify: Simplify 0 into 0 1544005330.543 * [misc]backup-simplify: Simplify 1 into 1 1544005330.543 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.544 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005330.544 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005330.544 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005330.545 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.545 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1544005330.545 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.545 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.545 * [misc]backup-simplify: Simplify 2 into 2 1544005330.545 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.545 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.545 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1544005330.545 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544005330.545 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.545 * [misc]backup-simplify: Simplify PI into PI 1544005330.545 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1544005330.545 * [misc]taylor: Taking taylor expansion of k in k 1544005330.545 * [misc]backup-simplify: Simplify 0 into 0 1544005330.545 * [misc]backup-simplify: Simplify 1 into 1 1544005330.546 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544005330.546 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1544005330.547 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (* 0 0)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1544005330.548 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544005330.548 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544005330.549 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544005330.549 * [misc]backup-simplify: Simplify 0 into 0 1544005330.549 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1544005330.550 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.550 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3))) 1544005330.550 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.551 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.552 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.557 * [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 1544005330.557 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.557 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.557 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.557 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544005330.558 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.558 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.559 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544005330.562 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544005330.562 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005330.563 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1544005330.565 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) 1544005330.565 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) in k 1544005330.565 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1544005330.565 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.565 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.565 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1544005330.565 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005330.565 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005330.565 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.565 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.565 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005330.565 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005330.565 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.565 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.565 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.565 * [misc]backup-simplify: Simplify 2 into 2 1544005330.565 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.565 * [misc]backup-simplify: Simplify PI into PI 1544005330.566 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.566 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.566 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.566 * [misc]taylor: Taking taylor expansion of n in k 1544005330.566 * [misc]backup-simplify: Simplify n into n 1544005330.566 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.566 * [misc]taylor: Taking taylor expansion of k in k 1544005330.566 * [misc]backup-simplify: Simplify 0 into 0 1544005330.566 * [misc]backup-simplify: Simplify 1 into 1 1544005330.566 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.567 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005330.567 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005330.568 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005330.569 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.569 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1544005330.569 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.569 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.569 * [misc]backup-simplify: Simplify 2 into 2 1544005330.569 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.569 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.569 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1544005330.569 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1544005330.569 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.569 * [misc]backup-simplify: Simplify PI into PI 1544005330.569 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1544005330.569 * [misc]taylor: Taking taylor expansion of k in k 1544005330.569 * [misc]backup-simplify: Simplify 0 into 0 1544005330.569 * [misc]backup-simplify: Simplify 1 into 1 1544005330.570 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1544005330.571 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544005330.572 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1544005330.574 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1544005330.576 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0 1544005330.577 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.577 * [misc]backup-simplify: Simplify 0 into 0 1544005330.577 * [misc]backup-simplify: Simplify 0 into 0 1544005330.577 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544005330.578 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.579 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4))) 1544005330.579 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.581 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.583 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005330.593 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 1544005330.593 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.593 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.593 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.593 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.594 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0 1544005330.594 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.594 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.595 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1544005330.598 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005330.599 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005330.601 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1544005330.602 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) 1544005330.602 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) in k 1544005330.602 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1544005330.602 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.602 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.602 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1544005330.602 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005330.602 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005330.602 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.602 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.602 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005330.602 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005330.602 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.602 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.602 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.602 * [misc]backup-simplify: Simplify 2 into 2 1544005330.602 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.602 * [misc]backup-simplify: Simplify PI into PI 1544005330.603 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.603 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.603 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.603 * [misc]taylor: Taking taylor expansion of n in k 1544005330.603 * [misc]backup-simplify: Simplify n into n 1544005330.603 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.603 * [misc]taylor: Taking taylor expansion of k in k 1544005330.603 * [misc]backup-simplify: Simplify 0 into 0 1544005330.603 * [misc]backup-simplify: Simplify 1 into 1 1544005330.603 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.603 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005330.604 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005330.604 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005330.604 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.604 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1544005330.604 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.604 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.605 * [misc]backup-simplify: Simplify 2 into 2 1544005330.605 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.605 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.605 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1544005330.605 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1544005330.605 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.605 * [misc]backup-simplify: Simplify PI into PI 1544005330.605 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1544005330.605 * [misc]taylor: Taking taylor expansion of k in k 1544005330.605 * [misc]backup-simplify: Simplify 0 into 0 1544005330.605 * [misc]backup-simplify: Simplify 1 into 1 1544005330.605 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544005330.605 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544005330.606 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1544005330.606 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1544005330.607 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1544005330.607 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) 1544005330.608 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1544005330.609 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1544005330.610 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544005330.610 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005330.611 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005330.612 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1544005330.613 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)))) into 0 1544005330.613 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.613 * [misc]backup-simplify: Simplify 0 into 0 1544005330.613 * [misc]backup-simplify: Simplify 0 into 0 1544005330.614 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1544005330.614 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.615 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5))) 1544005330.615 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.617 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.619 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005330.634 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 1544005330.634 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.634 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.634 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.634 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.635 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.635 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0 1544005330.636 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.636 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.637 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1544005330.643 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544005330.644 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005330.644 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))))) into 0 1544005330.646 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) 1544005330.646 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) in k 1544005330.646 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1544005330.646 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.646 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.646 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1544005330.646 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005330.646 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005330.646 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.646 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.646 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005330.646 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005330.646 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.646 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.646 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.646 * [misc]backup-simplify: Simplify 2 into 2 1544005330.646 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.646 * [misc]backup-simplify: Simplify PI into PI 1544005330.647 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.647 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.647 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.647 * [misc]taylor: Taking taylor expansion of n in k 1544005330.647 * [misc]backup-simplify: Simplify n into n 1544005330.647 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.647 * [misc]taylor: Taking taylor expansion of k in k 1544005330.647 * [misc]backup-simplify: Simplify 0 into 0 1544005330.647 * [misc]backup-simplify: Simplify 1 into 1 1544005330.647 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.647 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005330.648 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005330.648 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005330.648 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.648 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1544005330.648 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.648 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.648 * [misc]backup-simplify: Simplify 2 into 2 1544005330.649 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.649 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.649 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1544005330.649 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1544005330.649 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.649 * [misc]backup-simplify: Simplify PI into PI 1544005330.649 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1544005330.649 * [misc]taylor: Taking taylor expansion of k in k 1544005330.649 * [misc]backup-simplify: Simplify 0 into 0 1544005330.649 * [misc]backup-simplify: Simplify 1 into 1 1544005330.649 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544005330.649 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1544005330.650 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1544005330.651 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1544005330.652 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1544005330.652 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1544005330.652 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.652 * [misc]backup-simplify: Simplify 0 into 0 1544005330.653 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544005330.654 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005330.656 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005330.657 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1544005330.658 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))))) into 0 1544005330.658 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.658 * [misc]backup-simplify: Simplify 0 into 0 1544005330.658 * [misc]backup-simplify: Simplify 0 into 0 1544005330.659 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1544005330.660 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.661 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6))) 1544005330.661 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.663 * [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 1544005330.664 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005330.686 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0 1544005330.687 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.687 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.687 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.687 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.687 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.688 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.689 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0 1544005330.689 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.691 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1544005330.705 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005330.707 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005330.708 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))))) into 0 1544005330.711 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) 1544005330.711 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) in k 1544005330.711 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1544005330.711 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.711 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.711 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1544005330.711 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005330.711 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005330.711 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.711 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.712 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005330.712 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005330.712 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.712 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.712 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.712 * [misc]backup-simplify: Simplify 2 into 2 1544005330.712 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.712 * [misc]backup-simplify: Simplify PI into PI 1544005330.712 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.713 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.713 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.713 * [misc]taylor: Taking taylor expansion of n in k 1544005330.713 * [misc]backup-simplify: Simplify n into n 1544005330.713 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.713 * [misc]taylor: Taking taylor expansion of k in k 1544005330.713 * [misc]backup-simplify: Simplify 0 into 0 1544005330.713 * [misc]backup-simplify: Simplify 1 into 1 1544005330.713 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.713 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005330.714 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005330.714 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005330.715 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.715 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1544005330.715 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005330.715 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.715 * [misc]backup-simplify: Simplify 2 into 2 1544005330.715 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005330.716 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005330.716 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1544005330.716 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1544005330.716 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.716 * [misc]backup-simplify: Simplify PI into PI 1544005330.716 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1544005330.716 * [misc]taylor: Taking taylor expansion of k in k 1544005330.716 * [misc]backup-simplify: Simplify 0 into 0 1544005330.716 * [misc]backup-simplify: Simplify 1 into 1 1544005330.716 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544005330.717 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1544005330.717 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544005330.717 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544005330.718 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1544005330.718 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1544005330.720 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1544005330.721 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) 1544005330.722 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1544005330.723 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1544005330.728 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1544005330.729 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 (- n)))) (/ (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) 1544005330.730 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (n k) around 0 1544005330.730 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1544005330.730 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1544005330.730 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1544005330.730 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544005330.730 * [misc]taylor: Taking taylor expansion of -2 in k 1544005330.730 * [misc]backup-simplify: Simplify -2 into -2 1544005330.730 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005330.730 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.730 * [misc]backup-simplify: Simplify PI into PI 1544005330.730 * [misc]taylor: Taking taylor expansion of n in k 1544005330.730 * [misc]backup-simplify: Simplify n into n 1544005330.730 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005330.730 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544005330.730 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1544005330.730 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1544005330.731 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1544005330.731 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1544005330.731 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1544005330.731 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1544005330.731 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1544005330.731 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005330.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005330.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005330.731 * [misc]taylor: Taking taylor expansion of k in k 1544005330.731 * [misc]backup-simplify: Simplify 0 into 0 1544005330.731 * [misc]backup-simplify: Simplify 1 into 1 1544005330.731 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005330.731 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544005330.731 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544005330.731 * [misc]taylor: Taking taylor expansion of -2 in k 1544005330.731 * [misc]backup-simplify: Simplify -2 into -2 1544005330.731 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005330.731 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.731 * [misc]backup-simplify: Simplify PI into PI 1544005330.732 * [misc]taylor: Taking taylor expansion of n in k 1544005330.732 * [misc]backup-simplify: Simplify n into n 1544005330.732 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005330.732 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544005330.732 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544005330.732 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005330.732 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544005330.732 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1544005330.732 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005330.732 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005330.732 * [misc]taylor: Taking taylor expansion of -1 in k 1544005330.732 * [misc]backup-simplify: Simplify -1 into -1 1544005330.732 * [misc]taylor: Taking taylor expansion of k in k 1544005330.733 * [misc]backup-simplify: Simplify 0 into 0 1544005330.733 * [misc]backup-simplify: Simplify 1 into 1 1544005330.733 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005330.733 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.733 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005330.734 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1544005330.734 * [misc]backup-simplify: Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1544005330.734 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1544005330.734 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1544005330.734 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1544005330.734 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.734 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.734 * [misc]backup-simplify: Simplify -2 into -2 1544005330.734 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.734 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.734 * [misc]backup-simplify: Simplify PI into PI 1544005330.734 * [misc]taylor: Taking taylor expansion of n in n 1544005330.734 * [misc]backup-simplify: Simplify 0 into 0 1544005330.734 * [misc]backup-simplify: Simplify 1 into 1 1544005330.734 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.735 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.735 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.736 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1544005330.736 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544005330.736 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544005330.736 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544005330.736 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005330.736 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.736 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.736 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.736 * [misc]taylor: Taking taylor expansion of k in n 1544005330.736 * [misc]backup-simplify: Simplify k into k 1544005330.736 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.736 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005330.736 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.736 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.736 * [misc]backup-simplify: Simplify -2 into -2 1544005330.736 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.736 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.736 * [misc]backup-simplify: Simplify PI into PI 1544005330.736 * [misc]taylor: Taking taylor expansion of n in n 1544005330.736 * [misc]backup-simplify: Simplify 0 into 0 1544005330.736 * [misc]backup-simplify: Simplify 1 into 1 1544005330.737 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.737 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.737 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005330.737 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005330.738 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005330.739 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544005330.739 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005330.739 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005330.739 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005330.739 * [misc]taylor: Taking taylor expansion of -1 in n 1544005330.739 * [misc]backup-simplify: Simplify -1 into -1 1544005330.739 * [misc]taylor: Taking taylor expansion of k in n 1544005330.739 * [misc]backup-simplify: Simplify k into k 1544005330.740 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005330.740 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005330.740 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005330.740 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005330.741 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1544005330.742 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.742 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005330.745 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544005330.745 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005330.746 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005330.746 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005330.747 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544005330.748 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005330.750 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005330.750 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1544005330.750 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1544005330.750 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1544005330.751 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1544005330.751 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.751 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.751 * [misc]backup-simplify: Simplify -2 into -2 1544005330.751 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.751 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.751 * [misc]backup-simplify: Simplify PI into PI 1544005330.751 * [misc]taylor: Taking taylor expansion of n in n 1544005330.751 * [misc]backup-simplify: Simplify 0 into 0 1544005330.751 * [misc]backup-simplify: Simplify 1 into 1 1544005330.751 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.751 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.752 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.752 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1544005330.752 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544005330.752 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544005330.752 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544005330.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005330.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.753 * [misc]taylor: Taking taylor expansion of k in n 1544005330.753 * [misc]backup-simplify: Simplify k into k 1544005330.753 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.753 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005330.753 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.753 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.753 * [misc]backup-simplify: Simplify -2 into -2 1544005330.753 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.753 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.753 * [misc]backup-simplify: Simplify PI into PI 1544005330.753 * [misc]taylor: Taking taylor expansion of n in n 1544005330.753 * [misc]backup-simplify: Simplify 0 into 0 1544005330.753 * [misc]backup-simplify: Simplify 1 into 1 1544005330.753 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.753 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.754 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005330.754 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005330.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005330.755 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544005330.756 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005330.756 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005330.756 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005330.756 * [misc]taylor: Taking taylor expansion of -1 in n 1544005330.756 * [misc]backup-simplify: Simplify -1 into -1 1544005330.756 * [misc]taylor: Taking taylor expansion of k in n 1544005330.756 * [misc]backup-simplify: Simplify k into k 1544005330.756 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005330.756 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005330.756 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005330.757 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005330.757 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1544005330.758 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.759 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005330.762 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544005330.762 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005330.762 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005330.763 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005330.763 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544005330.765 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005330.766 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005330.767 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1544005330.767 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1544005330.767 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.767 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.767 * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1544005330.767 * [misc]taylor: Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1544005330.767 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.767 * [misc]backup-simplify: Simplify PI into PI 1544005330.767 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544005330.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544005330.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005330.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.768 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544005330.768 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544005330.768 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544005330.768 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544005330.768 * [misc]taylor: Taking taylor expansion of -2 in k 1544005330.768 * [misc]backup-simplify: Simplify -2 into -2 1544005330.768 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.768 * [misc]backup-simplify: Simplify PI into PI 1544005330.768 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.769 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005330.769 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.769 * [misc]taylor: Taking taylor expansion of n in k 1544005330.769 * [misc]backup-simplify: Simplify n into n 1544005330.769 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.769 * [misc]taylor: Taking taylor expansion of k in k 1544005330.769 * [misc]backup-simplify: Simplify 0 into 0 1544005330.769 * [misc]backup-simplify: Simplify 1 into 1 1544005330.769 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.769 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544005330.770 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544005330.770 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544005330.771 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005330.771 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005330.771 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005330.771 * [misc]taylor: Taking taylor expansion of -1 in k 1544005330.771 * [misc]backup-simplify: Simplify -1 into -1 1544005330.771 * [misc]taylor: Taking taylor expansion of k in k 1544005330.771 * [misc]backup-simplify: Simplify 0 into 0 1544005330.771 * [misc]backup-simplify: Simplify 1 into 1 1544005330.771 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005330.772 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.772 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005330.773 * [misc]backup-simplify: Simplify (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544005330.773 * [misc]backup-simplify: Simplify (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005330.774 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005330.775 * [misc]backup-simplify: Simplify (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005330.776 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.777 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005330.783 * [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 1544005330.783 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.783 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005330.784 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005330.785 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544005330.787 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005330.788 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.789 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005330.790 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544005330.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005330.793 * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) 1544005330.793 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005330.793 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005330.793 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.793 * [misc]backup-simplify: Simplify PI into PI 1544005330.793 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005330.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.793 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544005330.793 * [misc]taylor: Taking taylor expansion of -2 in k 1544005330.793 * [misc]backup-simplify: Simplify -2 into -2 1544005330.794 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.794 * [misc]backup-simplify: Simplify PI into PI 1544005330.794 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.794 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005330.794 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.794 * [misc]taylor: Taking taylor expansion of n in k 1544005330.794 * [misc]backup-simplify: Simplify n into n 1544005330.794 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.794 * [misc]taylor: Taking taylor expansion of k in k 1544005330.794 * [misc]backup-simplify: Simplify 0 into 0 1544005330.794 * [misc]backup-simplify: Simplify 1 into 1 1544005330.794 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.795 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544005330.795 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544005330.795 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544005330.796 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005330.796 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005330.796 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005330.796 * [misc]taylor: Taking taylor expansion of -1 in k 1544005330.796 * [misc]backup-simplify: Simplify -1 into -1 1544005330.796 * [misc]taylor: Taking taylor expansion of k in k 1544005330.796 * [misc]backup-simplify: Simplify 0 into 0 1544005330.796 * [misc]backup-simplify: Simplify 1 into 1 1544005330.796 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005330.796 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.796 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005330.796 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544005330.797 * [misc]backup-simplify: Simplify (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544005330.797 * [misc]backup-simplify: Simplify (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005330.798 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005330.799 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005330.799 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005330.800 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0 1544005330.800 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544005330.801 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005330.801 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005330.802 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005330.802 * [misc]backup-simplify: Simplify (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005330.804 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1544005330.804 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1544005330.804 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) into (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) 1544005330.804 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1544005330.804 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in k 1544005330.805 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1544005330.805 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544005330.805 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544005330.805 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544005330.805 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544005330.805 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005330.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.805 * [misc]taylor: Taking taylor expansion of k in k 1544005330.805 * [misc]backup-simplify: Simplify 0 into 0 1544005330.805 * [misc]backup-simplify: Simplify 1 into 1 1544005330.805 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544005330.805 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544005330.805 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.805 * [misc]backup-simplify: Simplify 2 into 2 1544005330.805 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544005330.805 * [misc]taylor: Taking taylor expansion of n in k 1544005330.805 * [misc]backup-simplify: Simplify n into n 1544005330.805 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.805 * [misc]backup-simplify: Simplify PI into PI 1544005330.805 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544005330.805 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544005330.805 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544005330.805 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544005330.805 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.805 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1544005330.805 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.806 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544005330.806 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544005330.806 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544005330.806 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544005330.807 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005330.807 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544005330.807 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005330.807 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544005330.807 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005330.807 * [misc]taylor: Taking taylor expansion of k in k 1544005330.807 * [misc]backup-simplify: Simplify 0 into 0 1544005330.807 * [misc]backup-simplify: Simplify 1 into 1 1544005330.807 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005330.807 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.807 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005330.807 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in n 1544005330.807 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544005330.807 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005330.807 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005330.807 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544005330.807 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005330.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.808 * [misc]taylor: Taking taylor expansion of k in n 1544005330.808 * [misc]backup-simplify: Simplify k into k 1544005330.808 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005330.808 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005330.808 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.808 * [misc]backup-simplify: Simplify 2 into 2 1544005330.808 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.808 * [misc]taylor: Taking taylor expansion of n in n 1544005330.808 * [misc]backup-simplify: Simplify 0 into 0 1544005330.808 * [misc]backup-simplify: Simplify 1 into 1 1544005330.808 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.808 * [misc]backup-simplify: Simplify PI into PI 1544005330.808 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005330.808 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005330.808 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005330.809 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005330.809 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.809 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005330.809 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005330.810 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.810 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544005330.810 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544005330.810 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544005330.810 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.810 * [misc]taylor: Taking taylor expansion of k in n 1544005330.810 * [misc]backup-simplify: Simplify k into k 1544005330.810 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.811 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544005330.811 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005330.811 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544005330.811 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in n 1544005330.811 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544005330.811 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005330.811 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005330.811 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544005330.811 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005330.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.811 * [misc]taylor: Taking taylor expansion of k in n 1544005330.811 * [misc]backup-simplify: Simplify k into k 1544005330.811 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005330.811 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005330.811 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.811 * [misc]backup-simplify: Simplify 2 into 2 1544005330.811 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005330.811 * [misc]taylor: Taking taylor expansion of n in n 1544005330.811 * [misc]backup-simplify: Simplify 0 into 0 1544005330.811 * [misc]backup-simplify: Simplify 1 into 1 1544005330.811 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.811 * [misc]backup-simplify: Simplify PI into PI 1544005330.811 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005330.811 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005330.812 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005330.812 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005330.812 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.812 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005330.812 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005330.813 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.813 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544005330.814 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544005330.814 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544005330.814 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.814 * [misc]taylor: Taking taylor expansion of k in n 1544005330.814 * [misc]backup-simplify: Simplify k into k 1544005330.814 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.814 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544005330.814 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005330.814 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544005330.814 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1544005330.814 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544005330.814 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544005330.814 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005330.814 * [misc]taylor: Taking taylor expansion of k in k 1544005330.814 * [misc]backup-simplify: Simplify 0 into 0 1544005330.814 * [misc]backup-simplify: Simplify 1 into 1 1544005330.814 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005330.815 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.815 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005330.815 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544005330.815 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544005330.815 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.815 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.815 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544005330.815 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544005330.815 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.815 * [misc]taylor: Taking taylor expansion of n in k 1544005330.815 * [misc]backup-simplify: Simplify n into n 1544005330.815 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.815 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.815 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.815 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.815 * [misc]backup-simplify: Simplify 2 into 2 1544005330.815 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.815 * [misc]backup-simplify: Simplify PI into PI 1544005330.815 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.816 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.816 * [misc]taylor: Taking taylor expansion of k in k 1544005330.816 * [misc]backup-simplify: Simplify 0 into 0 1544005330.816 * [misc]backup-simplify: Simplify 1 into 1 1544005330.816 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.816 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544005330.816 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544005330.817 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544005330.817 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005330.819 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005330.819 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005330.819 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544005330.820 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005330.820 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005330.820 * [misc]backup-simplify: Simplify (* 0 1) into 0 1544005330.820 * [misc]backup-simplify: Simplify 0 into 0 1544005330.820 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005330.821 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005330.821 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005330.823 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005330.823 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544005330.823 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.824 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.825 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544005330.826 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005330.827 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1544005330.827 * [misc]taylor: Taking taylor expansion of 0 in k 1544005330.827 * [misc]backup-simplify: Simplify 0 into 0 1544005330.828 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005330.829 * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1)) into (- +nan.0) 1544005330.829 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544005330.829 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.830 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544005330.830 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005330.832 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.835 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005330.840 * [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 1544005330.841 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544005330.841 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.842 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.842 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544005330.845 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005330.846 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1544005330.846 * [misc]taylor: Taking taylor expansion of 0 in k 1544005330.846 * [misc]backup-simplify: Simplify 0 into 0 1544005330.846 * [misc]backup-simplify: Simplify 0 into 0 1544005330.848 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544005330.849 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005330.853 * [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 1544005330.853 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005330.853 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1544005330.854 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1544005330.855 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1544005330.855 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544005330.856 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005330.858 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) 1544005330.858 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) 1544005330.858 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.858 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544005330.859 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005330.860 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005330.861 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005330.866 * [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 1544005330.866 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.866 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.866 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544005330.866 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.867 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005330.867 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544005330.869 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544005330.870 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1544005330.870 * [misc]taylor: Taking taylor expansion of 0 in k 1544005330.870 * [misc]backup-simplify: Simplify 0 into 0 1544005330.870 * [misc]backup-simplify: Simplify 0 into 0 1544005330.870 * [misc]backup-simplify: Simplify 0 into 0 1544005330.872 * [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 1544005330.873 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.879 * [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 1544005330.879 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005330.880 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544005330.881 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0)))) into 0 1544005330.885 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (+ (* 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)))))) 1544005330.885 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.886 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544005330.892 * [misc]backup-simplify: Simplify (+ (* 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))))))) (+ (* +nan.0 (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1)))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ +nan.0 (- (* +nan.0 (log n))))))))))))) 1544005330.896 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ +nan.0 (- (* +nan.0 (log n))))))))))))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) 1544005330.901 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) (* k 1)) (- +nan.0))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))))))))))))))))) 1544005330.902 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) 1544005330.902 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1544005330.902 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005330.902 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.902 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of k in k 1544005330.902 * [misc]backup-simplify: Simplify 0 into 0 1544005330.902 * [misc]backup-simplify: Simplify 1 into 1 1544005330.902 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005330.902 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.902 * [misc]backup-simplify: Simplify 2 into 2 1544005330.902 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005330.902 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.902 * [misc]backup-simplify: Simplify PI into PI 1544005330.902 * [misc]taylor: Taking taylor expansion of n in k 1544005330.902 * [misc]backup-simplify: Simplify n into n 1544005330.903 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005330.903 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544005330.903 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544005330.903 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005330.903 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005330.903 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544005330.903 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1544005330.903 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544005330.903 * [misc]taylor: Taking taylor expansion of k in k 1544005330.903 * [misc]backup-simplify: Simplify 0 into 0 1544005330.903 * [misc]backup-simplify: Simplify 1 into 1 1544005330.904 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.904 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005330.904 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544005330.904 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544005330.904 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005330.904 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005330.904 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544005330.904 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005330.904 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.904 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.905 * [misc]taylor: Taking taylor expansion of k in n 1544005330.905 * [misc]backup-simplify: Simplify k into k 1544005330.905 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.905 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005330.905 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005330.905 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.905 * [misc]backup-simplify: Simplify 2 into 2 1544005330.905 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.905 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.905 * [misc]backup-simplify: Simplify PI into PI 1544005330.905 * [misc]taylor: Taking taylor expansion of n in n 1544005330.905 * [misc]backup-simplify: Simplify 0 into 0 1544005330.905 * [misc]backup-simplify: Simplify 1 into 1 1544005330.905 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.905 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.906 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.906 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005330.906 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.907 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.907 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544005330.908 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.908 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544005330.908 * [misc]taylor: Taking taylor expansion of k in n 1544005330.908 * [misc]backup-simplify: Simplify k into k 1544005330.908 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544005330.908 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544005330.908 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544005330.908 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544005330.908 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005330.908 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005330.908 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544005330.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005330.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.908 * [misc]taylor: Taking taylor expansion of k in n 1544005330.908 * [misc]backup-simplify: Simplify k into k 1544005330.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.908 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005330.909 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005330.909 * [misc]taylor: Taking taylor expansion of 2 in n 1544005330.909 * [misc]backup-simplify: Simplify 2 into 2 1544005330.909 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.909 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.909 * [misc]backup-simplify: Simplify PI into PI 1544005330.909 * [misc]taylor: Taking taylor expansion of n in n 1544005330.909 * [misc]backup-simplify: Simplify 0 into 0 1544005330.909 * [misc]backup-simplify: Simplify 1 into 1 1544005330.909 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.909 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.910 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.910 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005330.910 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.910 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.911 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544005330.912 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.912 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544005330.912 * [misc]taylor: Taking taylor expansion of k in n 1544005330.912 * [misc]backup-simplify: Simplify k into k 1544005330.912 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544005330.912 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544005330.913 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) 1544005330.913 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) in k 1544005330.913 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005330.913 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005330.913 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005330.913 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005330.913 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005330.913 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005330.913 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005330.913 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005330.913 * [misc]taylor: Taking taylor expansion of 2 in k 1544005330.913 * [misc]backup-simplify: Simplify 2 into 2 1544005330.913 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.913 * [misc]backup-simplify: Simplify PI into PI 1544005330.913 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005330.914 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005330.914 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.914 * [misc]taylor: Taking taylor expansion of n in k 1544005330.914 * [misc]backup-simplify: Simplify n into n 1544005330.914 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.914 * [misc]taylor: Taking taylor expansion of k in k 1544005330.914 * [misc]backup-simplify: Simplify 0 into 0 1544005330.914 * [misc]backup-simplify: Simplify 1 into 1 1544005330.914 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.914 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005330.915 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005330.916 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005330.916 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005330.916 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544005330.916 * [misc]taylor: Taking taylor expansion of k in k 1544005330.916 * [misc]backup-simplify: Simplify 0 into 0 1544005330.916 * [misc]backup-simplify: Simplify 1 into 1 1544005330.916 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.917 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005330.917 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1544005330.917 * [misc]backup-simplify: Simplify 0 into 0 1544005330.918 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.919 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005330.922 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005330.922 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005330.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005330.923 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.923 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.924 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544005330.925 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005330.926 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (sqrt k))) into 0 1544005330.926 * [misc]taylor: Taking taylor expansion of 0 in k 1544005330.926 * [misc]backup-simplify: Simplify 0 into 0 1544005330.926 * [misc]backup-simplify: Simplify 0 into 0 1544005330.927 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005330.927 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005330.928 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544005330.928 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.930 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005330.936 * [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 1544005330.936 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.936 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.937 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005330.937 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.938 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.938 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544005330.941 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005330.941 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1544005330.941 * [misc]taylor: Taking taylor expansion of 0 in k 1544005330.942 * [misc]backup-simplify: Simplify 0 into 0 1544005330.942 * [misc]backup-simplify: Simplify 0 into 0 1544005330.942 * [misc]backup-simplify: Simplify 0 into 0 1544005330.943 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005330.944 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005330.944 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005330.945 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544005330.945 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005330.946 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.948 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005330.956 * [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 1544005330.956 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.956 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.956 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544005330.957 * [misc]backup-simplify: Simplify (- 0) into 0 1544005330.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005330.958 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544005330.962 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544005330.963 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1544005330.963 * [misc]taylor: Taking taylor expansion of 0 in k 1544005330.963 * [misc]backup-simplify: Simplify 0 into 0 1544005330.963 * [misc]backup-simplify: Simplify 0 into 0 1544005330.963 * [misc]backup-simplify: Simplify 0 into 0 1544005330.963 * [misc]backup-simplify: Simplify 0 into 0 1544005330.964 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544005330.966 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005330.966 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005330.969 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)) (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))) 1544005330.969 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) 1544005330.969 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in (n k) around 0 1544005330.969 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in k 1544005330.969 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1544005330.969 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1544005330.969 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1544005330.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005330.969 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005330.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005330.969 * [misc]taylor: Taking taylor expansion of k in k 1544005330.969 * [misc]backup-simplify: Simplify 0 into 0 1544005330.969 * [misc]backup-simplify: Simplify 1 into 1 1544005330.970 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005330.970 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544005330.970 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544005330.970 * [misc]taylor: Taking taylor expansion of -2 in k 1544005330.970 * [misc]backup-simplify: Simplify -2 into -2 1544005330.970 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005330.970 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.970 * [misc]backup-simplify: Simplify PI into PI 1544005330.970 * [misc]taylor: Taking taylor expansion of n in k 1544005330.970 * [misc]backup-simplify: Simplify n into n 1544005330.970 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005330.970 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544005330.970 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544005330.970 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005330.970 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544005330.971 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1544005330.971 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005330.971 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005330.971 * [misc]taylor: Taking taylor expansion of -1 in k 1544005330.971 * [misc]backup-simplify: Simplify -1 into -1 1544005330.971 * [misc]taylor: Taking taylor expansion of k in k 1544005330.971 * [misc]backup-simplify: Simplify 0 into 0 1544005330.971 * [misc]backup-simplify: Simplify 1 into 1 1544005330.971 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005330.971 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.972 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005330.972 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) into (* +nan.0 (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1544005330.972 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in n 1544005330.972 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544005330.972 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544005330.972 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544005330.972 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005330.972 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.972 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.972 * [misc]taylor: Taking taylor expansion of k in n 1544005330.972 * [misc]backup-simplify: Simplify k into k 1544005330.972 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.972 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005330.972 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.972 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.972 * [misc]backup-simplify: Simplify -2 into -2 1544005330.972 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.972 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.972 * [misc]backup-simplify: Simplify PI into PI 1544005330.972 * [misc]taylor: Taking taylor expansion of n in n 1544005330.972 * [misc]backup-simplify: Simplify 0 into 0 1544005330.972 * [misc]backup-simplify: Simplify 1 into 1 1544005330.973 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.973 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.973 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005330.974 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005330.974 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005330.975 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544005330.975 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005330.975 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005330.975 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005330.975 * [misc]taylor: Taking taylor expansion of -1 in n 1544005330.975 * [misc]backup-simplify: Simplify -1 into -1 1544005330.975 * [misc]taylor: Taking taylor expansion of k in n 1544005330.975 * [misc]backup-simplify: Simplify k into k 1544005330.976 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005330.976 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005330.976 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005330.976 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005330.976 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) 1544005330.977 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in n 1544005330.977 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544005330.977 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544005330.977 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544005330.977 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005330.977 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005330.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.977 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005330.977 * [misc]taylor: Taking taylor expansion of k in n 1544005330.977 * [misc]backup-simplify: Simplify k into k 1544005330.977 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005330.977 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005330.977 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005330.977 * [misc]taylor: Taking taylor expansion of -2 in n 1544005330.977 * [misc]backup-simplify: Simplify -2 into -2 1544005330.977 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005330.977 * [misc]taylor: Taking taylor expansion of PI in n 1544005330.977 * [misc]backup-simplify: Simplify PI into PI 1544005330.977 * [misc]taylor: Taking taylor expansion of n in n 1544005330.977 * [misc]backup-simplify: Simplify 0 into 0 1544005330.977 * [misc]backup-simplify: Simplify 1 into 1 1544005330.977 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005330.978 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.978 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005330.978 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005330.979 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005330.980 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544005330.981 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005330.981 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005330.981 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005330.981 * [misc]taylor: Taking taylor expansion of -1 in n 1544005330.981 * [misc]backup-simplify: Simplify -1 into -1 1544005330.981 * [misc]taylor: Taking taylor expansion of k in n 1544005330.981 * [misc]backup-simplify: Simplify k into k 1544005330.981 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005330.981 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005330.982 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005330.982 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005330.983 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) 1544005330.983 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1544005330.983 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544005330.983 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544005330.983 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005330.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005330.983 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544005330.983 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544005330.983 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544005330.983 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544005330.983 * [misc]taylor: Taking taylor expansion of -2 in k 1544005330.983 * [misc]backup-simplify: Simplify -2 into -2 1544005330.983 * [misc]taylor: Taking taylor expansion of PI in k 1544005330.983 * [misc]backup-simplify: Simplify PI into PI 1544005330.983 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005330.984 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005330.984 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005330.984 * [misc]taylor: Taking taylor expansion of n in k 1544005330.984 * [misc]backup-simplify: Simplify n into n 1544005330.984 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005330.984 * [misc]taylor: Taking taylor expansion of k in k 1544005330.984 * [misc]backup-simplify: Simplify 0 into 0 1544005330.984 * [misc]backup-simplify: Simplify 1 into 1 1544005330.984 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005330.984 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544005330.985 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544005330.985 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544005330.985 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005330.985 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005330.985 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005330.985 * [misc]taylor: Taking taylor expansion of -1 in k 1544005330.985 * [misc]backup-simplify: Simplify -1 into -1 1544005330.985 * [misc]taylor: Taking taylor expansion of k in k 1544005330.985 * [misc]backup-simplify: Simplify 0 into 0 1544005330.985 * [misc]backup-simplify: Simplify 1 into 1 1544005330.985 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005330.986 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005330.986 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005330.986 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) into (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544005330.987 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544005330.987 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005330.988 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005330.989 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544005330.989 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005330.990 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005330.990 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005330.990 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544005330.991 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005330.992 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1544005330.992 * [misc]taylor: Taking taylor expansion of 0 in k 1544005330.992 * [misc]backup-simplify: Simplify 0 into 0 1544005330.992 * [misc]backup-simplify: Simplify 0 into 0 1544005330.992 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544005330.993 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005330.993 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005330.994 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005330.995 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005330.995 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005330.998 * [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 1544005330.998 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005330.998 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005330.999 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005330.999 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544005331.001 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005331.001 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005331.001 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544005331.002 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1544005331.002 * [misc]taylor: Taking taylor expansion of 0 in k 1544005331.002 * [misc]backup-simplify: Simplify 0 into 0 1544005331.002 * [misc]backup-simplify: Simplify 0 into 0 1544005331.002 * [misc]backup-simplify: Simplify 0 into 0 1544005331.002 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005331.003 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544005331.004 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005331.005 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005331.006 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (- (+ (* +nan.0 (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))))))) 1544005331.006 * * * [misc]progress: simplifying candidates 1544005331.006 * * * * [misc]progress: [ 1 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 2 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 3 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 4 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 5 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 6 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 7 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 8 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 9 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 10 / 109 ] simplifiying candidate # 1544005331.006 * * * * [misc]progress: [ 11 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 12 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 13 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 14 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 15 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 16 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 17 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 18 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 19 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 20 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 21 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 22 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 23 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 24 / 109 ] simplifiying candidate # 1544005331.007 * * * * [misc]progress: [ 25 / 109 ] simplifiying candidate # 1544005331.007 * [enter]simplify: Simplifying (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1544005331.007 * * [misc]simplify: iters left: 6 (15 enodes) 1544005331.010 * * [misc]simplify: iters left: 5 (27 enodes) 1544005331.013 * * [misc]simplify: iters left: 4 (35 enodes) 1544005331.018 * * [misc]simplify: iters left: 3 (37 enodes) 1544005331.022 * * [misc]simplify: iters left: 2 (39 enodes) 1544005331.030 * * [misc]simplify: iters left: 1 (40 enodes) 1544005331.039 * [exit]simplify: Simplified to (* (pow (* (* PI 2) n) (- (/ k 2))) (/ (sqrt (* (* PI 2) n)) (sqrt k))) 1544005331.039 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (* (pow (* (* PI 2) n) (- (/ k 2))) (/ (sqrt (* (* PI 2) n)) (sqrt k))) 1)) 1544005331.039 * * * * [misc]progress: [ 26 / 109 ] simplifiying candidate # 1544005331.040 * * * * [misc]progress: [ 27 / 109 ] simplifiying candidate # 1544005331.040 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k)))) 1544005331.040 * * [misc]simplify: iters left: 6 (18 enodes) 1544005331.046 * * [misc]simplify: iters left: 5 (39 enodes) 1544005331.059 * * [misc]simplify: iters left: 4 (75 enodes) 1544005331.088 * * [misc]simplify: iters left: 3 (189 enodes) 1544005331.177 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k)))) 1544005331.177 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1544005331.177 * * * * [misc]progress: [ 28 / 109 ] simplifiying candidate # 1544005331.178 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k)))) 1544005331.178 * * [misc]simplify: iters left: 6 (18 enodes) 1544005331.181 * * [misc]simplify: iters left: 5 (39 enodes) 1544005331.187 * * [misc]simplify: iters left: 4 (75 enodes) 1544005331.215 * * [misc]simplify: iters left: 3 (189 enodes) 1544005331.283 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k)))) 1544005331.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1544005331.283 * * * * [misc]progress: [ 29 / 109 ] simplifiying candidate # 1544005331.284 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt k)))) 1544005331.284 * * [misc]simplify: iters left: 6 (18 enodes) 1544005331.287 * * [misc]simplify: iters left: 5 (34 enodes) 1544005331.296 * * [misc]simplify: iters left: 4 (64 enodes) 1544005331.319 * * [misc]simplify: iters left: 3 (169 enodes) 1544005331.397 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k)))) 1544005331.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k)))))) 1544005331.397 * * * * [misc]progress: [ 30 / 109 ] simplifiying candidate # 1544005331.397 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (log (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544005331.398 * * [misc]simplify: iters left: 6 (17 enodes) 1544005331.400 * * [misc]simplify: iters left: 5 (30 enodes) 1544005331.405 * * [misc]simplify: iters left: 4 (42 enodes) 1544005331.411 * * [misc]simplify: iters left: 3 (70 enodes) 1544005331.433 * * [misc]simplify: iters left: 2 (183 enodes) 1544005331.557 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k)))) 1544005331.557 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* n PI)))) (fma (/ k 2) (log (* 2 (* n PI))) (log (sqrt k)))))) 1544005331.557 * * * * [misc]progress: [ 31 / 109 ] simplifiying candidate # 1544005331.557 * * * * [misc]progress: [ 32 / 109 ] simplifiying candidate # 1544005331.557 * * * * [misc]progress: [ 33 / 109 ] simplifiying candidate # 1544005331.557 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1544005331.558 * * [misc]simplify: iters left: 6 (21 enodes) 1544005331.561 * * [misc]simplify: iters left: 5 (46 enodes) 1544005331.570 * * [misc]simplify: iters left: 4 (154 enodes) 1544005331.694 * [exit]simplify: Simplified to (* (/ (sqrt (* (* n PI) 2)) (/ k (* (* n PI) 2))) (* (* (pow (* (* n PI) 2) (- (/ k 2))) (pow (* (* n PI) 2) (- (/ k 2)))) (/ (pow (* (* n PI) 2) (- (/ k 2))) (sqrt k)))) 1544005331.694 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (sqrt (* (* n PI) 2)) (/ k (* (* n PI) 2))) (* (* (pow (* (* n PI) 2) (- (/ k 2))) (pow (* (* n PI) 2) (- (/ k 2)))) (/ (pow (* (* n PI) 2) (- (/ k 2))) (sqrt k)))))) 1544005331.694 * * * * [misc]progress: [ 34 / 109 ] simplifiying candidate # 1544005331.694 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544005331.694 * * [misc]simplify: iters left: 6 (19 enodes) 1544005331.702 * * [misc]simplify: iters left: 5 (42 enodes) 1544005331.718 * * [misc]simplify: iters left: 4 (132 enodes) 1544005331.817 * [exit]simplify: Simplified to (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544005331.817 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))) 1544005331.817 * * * * [misc]progress: [ 35 / 109 ] simplifiying candidate # 1544005331.817 * * * * [misc]progress: [ 36 / 109 ] simplifiying candidate # 1544005331.817 * * * * [misc]progress: [ 37 / 109 ] simplifiying candidate # 1544005331.817 * * * * [misc]progress: [ 38 / 109 ] simplifiying candidate # 1544005331.817 * * * * [misc]progress: [ 39 / 109 ] simplifiying candidate # 1544005331.817 * [enter]simplify: Simplifying (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1544005331.817 * * [misc]simplify: iters left: 6 (12 enodes) 1544005331.819 * * [misc]simplify: iters left: 5 (18 enodes) 1544005331.822 * * [misc]simplify: iters left: 4 (24 enodes) 1544005331.825 * * [misc]simplify: iters left: 3 (25 enodes) 1544005331.828 * [exit]simplify: Simplified to (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1544005331.828 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005331.828 * * * * [misc]progress: [ 40 / 109 ] simplifiying candidate # 1544005331.828 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1544005331.828 * * [misc]simplify: iters left: 6 (12 enodes) 1544005331.830 * * [misc]simplify: iters left: 5 (18 enodes) 1544005331.833 * * [misc]simplify: iters left: 4 (24 enodes) 1544005331.836 * * [misc]simplify: iters left: 3 (25 enodes) 1544005331.839 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1544005331.839 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005331.839 * * * * [misc]progress: [ 41 / 109 ] simplifiying candidate # 1544005331.839 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544005331.839 * * [misc]simplify: iters left: 6 (10 enodes) 1544005331.840 * * [misc]simplify: iters left: 5 (13 enodes) 1544005331.842 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544005331.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544005331.842 * * * * [misc]progress: [ 42 / 109 ] simplifiying candidate # 1544005331.842 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005331.843 * * [misc]simplify: iters left: 6 (10 enodes) 1544005331.844 * * [misc]simplify: iters left: 5 (13 enodes) 1544005331.846 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544005331.846 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544005331.846 * * * * [misc]progress: [ 43 / 109 ] simplifiying candidate # 1544005331.846 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005331.846 * * [misc]simplify: iters left: 6 (9 enodes) 1544005331.847 * * [misc]simplify: iters left: 5 (12 enodes) 1544005331.851 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005331.851 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544005331.851 * * * * [misc]progress: [ 44 / 109 ] simplifiying candidate # 1544005331.851 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1544005331.851 * * [misc]simplify: iters left: 6 (13 enodes) 1544005331.855 * * [misc]simplify: iters left: 5 (19 enodes) 1544005331.860 * * [misc]simplify: iters left: 4 (25 enodes) 1544005331.863 * * [misc]simplify: iters left: 3 (26 enodes) 1544005331.867 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544005331.867 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))))) 1544005331.867 * * * * [misc]progress: [ 45 / 109 ] simplifiying candidate # 1544005331.867 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544005331.867 * * [misc]simplify: iters left: 6 (13 enodes) 1544005331.869 * * [misc]simplify: iters left: 5 (19 enodes) 1544005331.872 * * [misc]simplify: iters left: 4 (25 enodes) 1544005331.875 * * [misc]simplify: iters left: 3 (26 enodes) 1544005331.878 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005331.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005331.878 * * * * [misc]progress: [ 46 / 109 ] simplifiying candidate # 1544005331.878 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1544005331.878 * * [misc]simplify: iters left: 6 (12 enodes) 1544005331.880 * * [misc]simplify: iters left: 5 (18 enodes) 1544005331.883 * * [misc]simplify: iters left: 4 (24 enodes) 1544005331.886 * * [misc]simplify: iters left: 3 (25 enodes) 1544005331.889 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005331.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005331.889 * * * * [misc]progress: [ 47 / 109 ] simplifiying candidate # 1544005331.889 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1544005331.889 * * [misc]simplify: iters left: 6 (13 enodes) 1544005331.892 * * [misc]simplify: iters left: 5 (19 enodes) 1544005331.894 * * [misc]simplify: iters left: 4 (25 enodes) 1544005331.897 * * [misc]simplify: iters left: 3 (26 enodes) 1544005331.901 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544005331.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))))) 1544005331.901 * * * * [misc]progress: [ 48 / 109 ] simplifiying candidate # 1544005331.901 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544005331.901 * * [misc]simplify: iters left: 6 (13 enodes) 1544005331.903 * * [misc]simplify: iters left: 5 (19 enodes) 1544005331.905 * * [misc]simplify: iters left: 4 (25 enodes) 1544005331.909 * * [misc]simplify: iters left: 3 (26 enodes) 1544005331.912 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005331.912 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005331.912 * * * * [misc]progress: [ 49 / 109 ] simplifiying candidate # 1544005331.912 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1544005331.912 * * [misc]simplify: iters left: 6 (12 enodes) 1544005331.914 * * [misc]simplify: iters left: 5 (18 enodes) 1544005331.916 * * [misc]simplify: iters left: 4 (24 enodes) 1544005331.919 * * [misc]simplify: iters left: 3 (25 enodes) 1544005331.922 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005331.922 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005331.922 * * * * [misc]progress: [ 50 / 109 ] simplifiying candidate # 1544005331.923 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544005331.923 * * [misc]simplify: iters left: 6 (12 enodes) 1544005331.925 * * [misc]simplify: iters left: 5 (18 enodes) 1544005331.927 * * [misc]simplify: iters left: 4 (24 enodes) 1544005331.930 * * [misc]simplify: iters left: 3 (25 enodes) 1544005331.933 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544005331.933 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1544005331.933 * * * * [misc]progress: [ 51 / 109 ] simplifiying candidate # 1544005331.933 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544005331.934 * * [misc]simplify: iters left: 6 (12 enodes) 1544005331.935 * * [misc]simplify: iters left: 5 (18 enodes) 1544005331.940 * * [misc]simplify: iters left: 4 (24 enodes) 1544005331.947 * * [misc]simplify: iters left: 3 (25 enodes) 1544005331.953 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005331.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544005331.953 * * * * [misc]progress: [ 52 / 109 ] simplifiying candidate # 1544005331.953 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544005331.954 * * [misc]simplify: iters left: 6 (11 enodes) 1544005331.957 * * [misc]simplify: iters left: 5 (17 enodes) 1544005331.962 * * [misc]simplify: iters left: 4 (23 enodes) 1544005331.968 * * [misc]simplify: iters left: 3 (24 enodes) 1544005331.974 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005331.974 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005331.974 * * * * [misc]progress: [ 53 / 109 ] simplifiying candidate # 1544005331.975 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544005331.975 * * [misc]simplify: iters left: 6 (11 enodes) 1544005331.978 * * [misc]simplify: iters left: 5 (17 enodes) 1544005331.983 * * [misc]simplify: iters left: 4 (23 enodes) 1544005331.990 * * [misc]simplify: iters left: 3 (24 enodes) 1544005331.996 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005331.997 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) 1) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005331.997 * * * * [misc]progress: [ 54 / 109 ] simplifiying candidate # 1544005331.997 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544005331.997 * * [misc]simplify: iters left: 3 (4 enodes) 1544005331.998 * * [misc]simplify: iters left: 2 (6 enodes) 1544005332.000 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544005332.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (/ 1 (sqrt k)))) 1544005332.000 * * * * [misc]progress: [ 55 / 109 ] simplifiying candidate # 1544005332.000 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) 1544005332.000 * * [misc]simplify: iters left: 6 (8 enodes) 1544005332.003 * * [misc]simplify: iters left: 5 (12 enodes) 1544005332.006 * * [misc]simplify: iters left: 4 (18 enodes) 1544005332.011 * * [misc]simplify: iters left: 3 (20 enodes) 1544005332.016 * [exit]simplify: Simplified to (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) 1544005332.016 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) (* (cbrt (sqrt (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) 1544005332.017 * * * * [misc]progress: [ 56 / 109 ] simplifiying candidate # 1544005332.017 * [enter]simplify: Simplifying (sqrt (* PI 2)) 1544005332.017 * * [misc]simplify: iters left: 3 (4 enodes) 1544005332.018 * * [misc]simplify: iters left: 2 (5 enodes) 1544005332.020 * [exit]simplify: Simplified to (sqrt (* PI 2)) 1544005332.020 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* PI 2)) (* (sqrt n) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) 1544005332.020 * * * * [misc]progress: [ 57 / 109 ] simplifiying candidate # 1544005332.020 * [enter]simplify: Simplifying (sqrt (sqrt (* (* PI 2) n))) 1544005332.020 * * [misc]simplify: iters left: 6 (7 enodes) 1544005332.022 * * [misc]simplify: iters left: 5 (11 enodes) 1544005332.026 * * [misc]simplify: iters left: 4 (17 enodes) 1544005332.031 * * [misc]simplify: iters left: 3 (19 enodes) 1544005332.035 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI 2) n))) 1544005332.035 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI 2) n))) (* (sqrt (sqrt (* (* PI 2) n))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) 1544005332.035 * * * * [misc]progress: [ 58 / 109 ] simplifiying candidate # 1544005332.035 * * * * [misc]progress: [ 59 / 109 ] simplifiying candidate # 1544005332.036 * [enter]simplify: Simplifying (sqrt k) 1544005332.036 * * [misc]simplify: iters left: 1 (2 enodes) 1544005332.036 * [exit]simplify: Simplified to (sqrt k) 1544005332.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) 1544005332.036 * * * * [misc]progress: [ 60 / 109 ] simplifiying candidate # 1544005332.036 * * * * [misc]progress: [ 61 / 109 ] simplifiying candidate # 1544005332.036 * * * * [misc]progress: [ 62 / 109 ] simplifiying candidate # 1544005332.037 * * * * [misc]progress: [ 63 / 109 ] simplifiying candidate # 1544005332.037 * * * * [misc]progress: [ 64 / 109 ] simplifiying candidate # 1544005332.037 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k))) 1544005332.037 * * [misc]simplify: iters left: 6 (13 enodes) 1544005332.041 * * [misc]simplify: iters left: 5 (28 enodes) 1544005332.051 * * [misc]simplify: iters left: 4 (59 enodes) 1544005332.068 * * [misc]simplify: iters left: 3 (146 enodes) 1544005332.105 * * [misc]simplify: iters left: 2 (365 enodes) 1544005332.307 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (/ (- k) 2) (- (log (sqrt k)))) 1544005332.307 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (fma (log (* (* 2 n) PI)) (/ (- k) 2) (- (log (sqrt k))))))) 1544005332.307 * * * * [misc]progress: [ 65 / 109 ] simplifiying candidate # 1544005332.308 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt k))) 1544005332.308 * * [misc]simplify: iters left: 6 (13 enodes) 1544005332.312 * * [misc]simplify: iters left: 5 (28 enodes) 1544005332.326 * * [misc]simplify: iters left: 4 (59 enodes) 1544005332.347 * * [misc]simplify: iters left: 3 (146 enodes) 1544005332.413 * * [misc]simplify: iters left: 2 (365 enodes) 1544005332.614 * [exit]simplify: Simplified to (fma (log (* (* 2 n) PI)) (/ (- k) 2) (- (log (sqrt k)))) 1544005332.614 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (fma (log (* (* 2 n) PI)) (/ (- k) 2) (- (log (sqrt k))))))) 1544005332.614 * * * * [misc]progress: [ 66 / 109 ] simplifiying candidate # 1544005332.615 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt k))) 1544005332.615 * * [misc]simplify: iters left: 6 (13 enodes) 1544005332.618 * * [misc]simplify: iters left: 5 (23 enodes) 1544005332.626 * * [misc]simplify: iters left: 4 (43 enodes) 1544005332.640 * * [misc]simplify: iters left: 3 (109 enodes) 1544005332.670 * * [misc]simplify: iters left: 2 (310 enodes) 1544005332.787 * [exit]simplify: Simplified to (fma (- (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544005332.787 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (fma (- (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))) 1544005332.787 * * * * [misc]progress: [ 67 / 109 ] simplifiying candidate # 1544005332.787 * * * * [misc]progress: [ 68 / 109 ] simplifiying candidate # 1544005332.787 * * * * [misc]progress: [ 69 / 109 ] simplifiying candidate # 1544005332.788 * [enter]simplify: Simplifying (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1544005332.788 * * [misc]simplify: iters left: 6 (15 enodes) 1544005332.793 * * [misc]simplify: iters left: 5 (30 enodes) 1544005332.799 * * [misc]simplify: iters left: 4 (63 enodes) 1544005332.809 * * [misc]simplify: iters left: 3 (112 enodes) 1544005333.177 * * [misc]simplify: iters left: 2 (189 enodes) 1544005333.256 * * [misc]simplify: iters left: 1 (318 enodes) 1544005333.455 * [exit]simplify: Simplified to (* (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (sqrt k) k))) 1544005333.455 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (cbrt (* (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (sqrt k) k)))))) 1544005333.455 * * * * [misc]progress: [ 70 / 109 ] simplifiying candidate # 1544005333.455 * * * * [misc]progress: [ 71 / 109 ] simplifiying candidate # 1544005333.455 * * * * [misc]progress: [ 72 / 109 ] simplifiying candidate # 1544005333.455 * * * * [misc]progress: [ 73 / 109 ] simplifiying candidate # 1544005333.455 * * * * [misc]progress: [ 74 / 109 ] simplifiying candidate # 1544005333.455 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005333.456 * * [misc]simplify: iters left: 6 (10 enodes) 1544005333.459 * * [misc]simplify: iters left: 5 (14 enodes) 1544005333.463 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005333.463 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1544005333.463 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544005333.463 * * [misc]simplify: iters left: 6 (10 enodes) 1544005333.466 * * [misc]simplify: iters left: 5 (13 enodes) 1544005333.470 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544005333.470 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1544005333.470 * * * * [misc]progress: [ 75 / 109 ] simplifiying candidate # 1544005333.471 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544005333.471 * * [misc]simplify: iters left: 6 (9 enodes) 1544005333.474 * * [misc]simplify: iters left: 5 (11 enodes) 1544005333.477 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) 1544005333.477 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005333.478 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005333.479 * * [misc]simplify: iters left: 6 (10 enodes) 1544005333.482 * * [misc]simplify: iters left: 5 (13 enodes) 1544005333.485 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544005333.485 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1544005333.485 * * * * [misc]progress: [ 76 / 109 ] simplifiying candidate # 1544005333.486 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) 1) 1544005333.486 * * [misc]simplify: iters left: 6 (8 enodes) 1544005333.488 * * [misc]simplify: iters left: 5 (12 enodes) 1544005333.492 * * [misc]simplify: iters left: 4 (14 enodes) 1544005333.495 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544005333.495 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544005333.496 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005333.496 * * [misc]simplify: iters left: 6 (9 enodes) 1544005333.498 * * [misc]simplify: iters left: 5 (12 enodes) 1544005333.502 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005333.502 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544005333.502 * * * * [misc]progress: [ 77 / 109 ] simplifiying candidate # 1544005333.502 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005333.503 * * [misc]simplify: iters left: 6 (15 enodes) 1544005333.508 * * [misc]simplify: iters left: 5 (27 enodes) 1544005333.516 * * [misc]simplify: iters left: 4 (42 enodes) 1544005333.528 * * [misc]simplify: iters left: 3 (46 enodes) 1544005333.539 * * [misc]simplify: iters left: 2 (49 enodes) 1544005333.552 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) 1544005333.552 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544005333.552 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1544005333.552 * * [misc]simplify: iters left: 6 (13 enodes) 1544005333.556 * * [misc]simplify: iters left: 5 (19 enodes) 1544005333.562 * * [misc]simplify: iters left: 4 (25 enodes) 1544005333.569 * * [misc]simplify: iters left: 3 (26 enodes) 1544005333.573 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544005333.574 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544005333.574 * * * * [misc]progress: [ 78 / 109 ] simplifiying candidate # 1544005333.574 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k))) 1544005333.574 * * [misc]simplify: iters left: 6 (14 enodes) 1544005333.576 * * [misc]simplify: iters left: 5 (22 enodes) 1544005333.579 * * [misc]simplify: iters left: 4 (30 enodes) 1544005333.583 * * [misc]simplify: iters left: 3 (32 enodes) 1544005333.588 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005333.588 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005333.588 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544005333.588 * * [misc]simplify: iters left: 6 (13 enodes) 1544005333.590 * * [misc]simplify: iters left: 5 (19 enodes) 1544005333.593 * * [misc]simplify: iters left: 4 (25 enodes) 1544005333.596 * * [misc]simplify: iters left: 3 (26 enodes) 1544005333.600 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005333.600 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005333.600 * * * * [misc]progress: [ 79 / 109 ] simplifiying candidate # 1544005333.600 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1544005333.600 * * [misc]simplify: iters left: 6 (13 enodes) 1544005333.602 * * [misc]simplify: iters left: 5 (23 enodes) 1544005333.609 * * [misc]simplify: iters left: 4 (35 enodes) 1544005333.619 * * [misc]simplify: iters left: 3 (50 enodes) 1544005333.625 * * [misc]simplify: iters left: 2 (76 enodes) 1544005333.635 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005333.635 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))))) 1544005333.635 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1544005333.635 * * [misc]simplify: iters left: 6 (12 enodes) 1544005333.637 * * [misc]simplify: iters left: 5 (18 enodes) 1544005333.639 * * [misc]simplify: iters left: 4 (24 enodes) 1544005333.642 * * [misc]simplify: iters left: 3 (25 enodes) 1544005333.646 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005333.646 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005333.646 * * * * [misc]progress: [ 80 / 109 ] simplifiying candidate # 1544005333.646 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005333.646 * * [misc]simplify: iters left: 6 (14 enodes) 1544005333.649 * * [misc]simplify: iters left: 5 (22 enodes) 1544005333.655 * * [misc]simplify: iters left: 4 (28 enodes) 1544005333.662 * * [misc]simplify: iters left: 3 (29 enodes) 1544005333.667 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005333.667 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544005333.667 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1544005333.667 * * [misc]simplify: iters left: 6 (13 enodes) 1544005333.669 * * [misc]simplify: iters left: 5 (19 enodes) 1544005333.671 * * [misc]simplify: iters left: 4 (25 enodes) 1544005333.675 * * [misc]simplify: iters left: 3 (26 enodes) 1544005333.678 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544005333.678 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544005333.678 * * * * [misc]progress: [ 81 / 109 ] simplifiying candidate # 1544005333.678 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544005333.678 * * [misc]simplify: iters left: 6 (13 enodes) 1544005333.680 * * [misc]simplify: iters left: 5 (19 enodes) 1544005333.683 * * [misc]simplify: iters left: 4 (25 enodes) 1544005333.686 * * [misc]simplify: iters left: 3 (26 enodes) 1544005333.690 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005333.690 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005333.691 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1544005333.691 * * [misc]simplify: iters left: 6 (13 enodes) 1544005333.693 * * [misc]simplify: iters left: 5 (19 enodes) 1544005333.695 * * [misc]simplify: iters left: 4 (25 enodes) 1544005333.702 * * [misc]simplify: iters left: 3 (26 enodes) 1544005333.709 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005333.709 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005333.709 * * * * [misc]progress: [ 82 / 109 ] simplifiying candidate # 1544005333.709 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) 1544005333.710 * * [misc]simplify: iters left: 6 (12 enodes) 1544005333.713 * * [misc]simplify: iters left: 5 (20 enodes) 1544005333.720 * * [misc]simplify: iters left: 4 (28 enodes) 1544005333.727 * * [misc]simplify: iters left: 3 (30 enodes) 1544005333.734 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544005333.734 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))))) 1544005333.734 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1544005333.734 * * [misc]simplify: iters left: 6 (12 enodes) 1544005333.738 * * [misc]simplify: iters left: 5 (18 enodes) 1544005333.743 * * [misc]simplify: iters left: 4 (24 enodes) 1544005333.750 * * [misc]simplify: iters left: 3 (25 enodes) 1544005333.756 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005333.756 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005333.757 * * * * [misc]progress: [ 83 / 109 ] simplifiying candidate # 1544005333.757 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005333.757 * * [misc]simplify: iters left: 6 (6 enodes) 1544005333.759 * * [misc]simplify: iters left: 5 (10 enodes) 1544005333.762 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544005333.762 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))) 1544005333.762 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544005333.762 * * [misc]simplify: iters left: 6 (12 enodes) 1544005333.766 * * [misc]simplify: iters left: 5 (18 enodes) 1544005333.771 * * [misc]simplify: iters left: 4 (24 enodes) 1544005333.778 * * [misc]simplify: iters left: 3 (25 enodes) 1544005333.784 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544005333.784 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))) 1544005333.784 * * * * [misc]progress: [ 84 / 109 ] simplifiying candidate # 1544005333.785 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544005333.785 * * [misc]simplify: iters left: 4 (5 enodes) 1544005333.786 * * [misc]simplify: iters left: 3 (7 enodes) 1544005333.788 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544005333.788 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005333.788 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544005333.788 * * [misc]simplify: iters left: 6 (12 enodes) 1544005333.792 * * [misc]simplify: iters left: 5 (18 enodes) 1544005333.797 * * [misc]simplify: iters left: 4 (24 enodes) 1544005333.804 * * [misc]simplify: iters left: 3 (25 enodes) 1544005333.810 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005333.810 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005333.810 * * * * [misc]progress: [ 85 / 109 ] simplifiying candidate # 1544005333.811 * [enter]simplify: Simplifying (/ 1 1) 1544005333.811 * * [misc]simplify: iters left: 2 (2 enodes) 1544005333.811 * * [misc]simplify: iters left: 1 (4 enodes) 1544005333.812 * [exit]simplify: Simplified to 1 1544005333.812 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))) 1544005333.812 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544005333.812 * * [misc]simplify: iters left: 6 (11 enodes) 1544005333.816 * * [misc]simplify: iters left: 5 (17 enodes) 1544005333.821 * * [misc]simplify: iters left: 4 (23 enodes) 1544005333.827 * * [misc]simplify: iters left: 3 (24 enodes) 1544005333.835 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005333.835 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005333.835 * * * * [misc]progress: [ 86 / 109 ] simplifiying candidate # 1544005333.835 * * * * [misc]progress: [ 87 / 109 ] simplifiying candidate # 1544005333.835 * * * * [misc]progress: [ 88 / 109 ] simplifiying candidate # 1544005333.835 * * * * [misc]progress: [ 89 / 109 ] simplifiying candidate # 1544005333.835 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544005333.835 * * [misc]simplify: iters left: 2 (3 enodes) 1544005333.836 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544005333.836 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1544005333.836 * * * * [misc]progress: [ 90 / 109 ] simplifiying candidate # 1544005333.837 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544005333.837 * * [misc]simplify: iters left: 2 (3 enodes) 1544005333.837 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544005333.838 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005333.838 * * * * [misc]progress: [ 91 / 109 ] simplifiying candidate # 1544005333.838 * [enter]simplify: Simplifying (sqrt k) 1544005333.838 * * [misc]simplify: iters left: 1 (2 enodes) 1544005333.838 * [exit]simplify: Simplified to (sqrt k) 1544005333.838 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) 1) (sqrt k)))) 1544005333.839 * * * * [misc]progress: [ 92 / 109 ] simplifiying candidate # 1544005333.839 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544005333.839 * * [misc]simplify: iters left: 5 (6 enodes) 1544005333.841 * * [misc]simplify: iters left: 4 (8 enodes) 1544005333.843 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544005333.843 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1544005333.843 * * * * [misc]progress: [ 93 / 109 ] simplifiying candidate # 1544005333.843 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1544005333.844 * * [misc]simplify: iters left: 6 (11 enodes) 1544005333.847 * * [misc]simplify: iters left: 5 (17 enodes) 1544005333.852 * * [misc]simplify: iters left: 4 (23 enodes) 1544005333.858 * * [misc]simplify: iters left: 3 (24 enodes) 1544005333.864 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005333.864 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005333.864 * * * * [misc]progress: [ 94 / 109 ] simplifiying candidate # 1544005333.865 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1544005333.865 * * [misc]simplify: iters left: 6 (10 enodes) 1544005333.868 * * [misc]simplify: iters left: 5 (16 enodes) 1544005333.873 * * [misc]simplify: iters left: 4 (22 enodes) 1544005333.878 * * [misc]simplify: iters left: 3 (24 enodes) 1544005333.884 * [exit]simplify: Simplified to (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) 1544005333.885 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005333.885 * * * * [misc]progress: [ 95 / 109 ] simplifiying candidate # 1544005333.885 * * * * [misc]progress: [ 96 / 109 ] simplifiying candidate # 1544005333.885 * * * * [misc]progress: [ 97 / 109 ] simplifiying candidate # 1544005333.885 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 0) 1544005333.885 * * [misc]simplify: iters left: 5 (7 enodes) 1544005333.888 * * [misc]simplify: iters left: 4 (12 enodes) 1544005333.891 * * [misc]simplify: iters left: 3 (19 enodes) 1544005333.895 * * [misc]simplify: iters left: 2 (20 enodes) 1544005333.900 * [exit]simplify: Simplified to 1 1544005333.900 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ 1 (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))) 1544005333.900 * * * * [misc]progress: [ 98 / 109 ] simplifiying candidate # 1544005333.900 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005333.900 * * [misc]simplify: iters left: 4 (5 enodes) 1544005333.902 * * [misc]simplify: iters left: 3 (9 enodes) 1544005333.905 * * [misc]simplify: iters left: 2 (15 enodes) 1544005333.909 * * [misc]simplify: iters left: 1 (17 enodes) 1544005333.913 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005333.913 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544005333.913 * * * * [misc]progress: [ 99 / 109 ] simplifiying candidate # 1544005333.913 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005333.913 * * [misc]simplify: iters left: 4 (5 enodes) 1544005333.915 * * [misc]simplify: iters left: 3 (9 enodes) 1544005333.917 * * [misc]simplify: iters left: 2 (15 enodes) 1544005333.921 * * [misc]simplify: iters left: 1 (17 enodes) 1544005333.925 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005333.925 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544005333.926 * * * * [misc]progress: [ 100 / 109 ] simplifiying candidate # 1544005333.926 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005333.926 * * [misc]simplify: iters left: 4 (5 enodes) 1544005333.928 * * [misc]simplify: iters left: 3 (9 enodes) 1544005333.930 * * [misc]simplify: iters left: 2 (15 enodes) 1544005333.934 * * [misc]simplify: iters left: 1 (17 enodes) 1544005333.939 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005333.939 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544005333.939 * * * * [misc]progress: [ 101 / 109 ] simplifiying candidate # 1544005333.939 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005333.939 * * [misc]simplify: iters left: 4 (5 enodes) 1544005333.940 * * [misc]simplify: iters left: 3 (9 enodes) 1544005333.941 * * [misc]simplify: iters left: 2 (15 enodes) 1544005333.943 * * [misc]simplify: iters left: 1 (17 enodes) 1544005333.945 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005333.945 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k)))) 1544005333.945 * * * * [misc]progress: [ 102 / 109 ] simplifiying candidate # 1544005333.945 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005333.945 * * [misc]simplify: iters left: 4 (5 enodes) 1544005333.946 * * [misc]simplify: iters left: 3 (9 enodes) 1544005333.948 * * [misc]simplify: iters left: 2 (15 enodes) 1544005333.950 * * [misc]simplify: iters left: 1 (17 enodes) 1544005333.952 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005333.952 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k)))) 1544005333.952 * * * * [misc]progress: [ 103 / 109 ] simplifiying candidate # 1544005333.952 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005333.952 * * [misc]simplify: iters left: 4 (5 enodes) 1544005333.953 * * [misc]simplify: iters left: 3 (9 enodes) 1544005333.954 * * [misc]simplify: iters left: 2 (15 enodes) 1544005333.956 * * [misc]simplify: iters left: 1 (17 enodes) 1544005333.958 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005333.958 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt k)))) 1544005333.958 * * * * [misc]progress: [ 104 / 109 ] simplifiying candidate # 1544005333.958 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1544005333.958 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544005333.958 * * * * [misc]progress: [ 105 / 109 ] simplifiying candidate # 1544005333.959 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1544005333.959 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544005333.959 * * * * [misc]progress: [ 106 / 109 ] simplifiying candidate # 1544005333.959 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1544005333.959 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544005333.959 * * * * [misc]progress: [ 107 / 109 ] simplifiying candidate # 1544005333.959 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))))))))))))))))) 1544005333.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544005333.959 * * * * [misc]progress: [ 108 / 109 ] simplifiying candidate # 1544005333.959 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)) (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))) 1544005333.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544005333.959 * * * * [misc]progress: [ 109 / 109 ] simplifiying candidate # 1544005333.959 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (- (+ (* +nan.0 (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))))))) 1544005333.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544005333.959 * * * [misc]progress: adding candidates to table 1544005335.325 * * [misc]progress: iteration 3 / 4 1544005335.325 * * * [misc]progress: picking best candidate 1544005335.382 * * * * [misc]pick: Picked # 1544005335.382 * * * [misc]progress: localizing error 1544005335.413 * * * [misc]progress: generating rewritten candidates 1544005335.413 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1544005335.416 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 1544005335.418 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 1544005335.421 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 1544005335.423 * * * [misc]progress: generating series expansions 1544005335.423 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1544005335.424 * [misc]backup-simplify: Simplify (* (* PI 2) n) into (* 2 (* n PI)) 1544005335.424 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544005335.424 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005335.424 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.424 * [misc]backup-simplify: Simplify 2 into 2 1544005335.424 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005335.424 * [misc]taylor: Taking taylor expansion of n in n 1544005335.424 * [misc]backup-simplify: Simplify 0 into 0 1544005335.424 * [misc]backup-simplify: Simplify 1 into 1 1544005335.424 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.425 * [misc]backup-simplify: Simplify PI into PI 1544005335.425 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005335.425 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.425 * [misc]backup-simplify: Simplify 2 into 2 1544005335.425 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005335.425 * [misc]taylor: Taking taylor expansion of n in n 1544005335.425 * [misc]backup-simplify: Simplify 0 into 0 1544005335.425 * [misc]backup-simplify: Simplify 1 into 1 1544005335.425 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.425 * [misc]backup-simplify: Simplify PI into PI 1544005335.425 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005335.425 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005335.425 * [misc]backup-simplify: Simplify 0 into 0 1544005335.426 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005335.426 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005335.426 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005335.427 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005335.428 * [misc]backup-simplify: Simplify 0 into 0 1544005335.428 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.429 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005335.430 * [misc]backup-simplify: Simplify 0 into 0 1544005335.431 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.433 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005335.433 * [misc]backup-simplify: Simplify 0 into 0 1544005335.435 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.438 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544005335.438 * [misc]backup-simplify: Simplify 0 into 0 1544005335.442 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.445 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544005335.445 * [misc]backup-simplify: Simplify 0 into 0 1544005335.449 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544005335.453 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544005335.453 * [misc]backup-simplify: Simplify 0 into 0 1544005335.454 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544005335.454 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n)) 1544005335.454 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544005335.454 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005335.454 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.454 * [misc]backup-simplify: Simplify 2 into 2 1544005335.454 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.454 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.454 * [misc]backup-simplify: Simplify PI into PI 1544005335.454 * [misc]taylor: Taking taylor expansion of n in n 1544005335.454 * [misc]backup-simplify: Simplify 0 into 0 1544005335.454 * [misc]backup-simplify: Simplify 1 into 1 1544005335.454 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.455 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005335.455 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.455 * [misc]backup-simplify: Simplify 2 into 2 1544005335.455 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.455 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.455 * [misc]backup-simplify: Simplify PI into PI 1544005335.455 * [misc]taylor: Taking taylor expansion of n in n 1544005335.455 * [misc]backup-simplify: Simplify 0 into 0 1544005335.455 * [misc]backup-simplify: Simplify 1 into 1 1544005335.455 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.455 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.456 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.457 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005335.457 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005335.457 * [misc]backup-simplify: Simplify 0 into 0 1544005335.459 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.460 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005335.460 * [misc]backup-simplify: Simplify 0 into 0 1544005335.461 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.463 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.463 * [misc]backup-simplify: Simplify 0 into 0 1544005335.464 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.466 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.466 * [misc]backup-simplify: Simplify 0 into 0 1544005335.467 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.468 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.469 * [misc]backup-simplify: Simplify 0 into 0 1544005335.470 * [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 1544005335.472 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.472 * [misc]backup-simplify: Simplify 0 into 0 1544005335.472 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544005335.472 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n)) 1544005335.472 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544005335.472 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005335.472 * [misc]taylor: Taking taylor expansion of -2 in n 1544005335.472 * [misc]backup-simplify: Simplify -2 into -2 1544005335.473 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.473 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.473 * [misc]backup-simplify: Simplify PI into PI 1544005335.473 * [misc]taylor: Taking taylor expansion of n in n 1544005335.473 * [misc]backup-simplify: Simplify 0 into 0 1544005335.473 * [misc]backup-simplify: Simplify 1 into 1 1544005335.473 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.473 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005335.473 * [misc]taylor: Taking taylor expansion of -2 in n 1544005335.473 * [misc]backup-simplify: Simplify -2 into -2 1544005335.473 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.473 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.473 * [misc]backup-simplify: Simplify PI into PI 1544005335.473 * [misc]taylor: Taking taylor expansion of n in n 1544005335.473 * [misc]backup-simplify: Simplify 0 into 0 1544005335.473 * [misc]backup-simplify: Simplify 1 into 1 1544005335.473 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.473 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005335.473 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005335.474 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005335.475 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005335.475 * [misc]backup-simplify: Simplify 0 into 0 1544005335.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.476 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005335.476 * [misc]backup-simplify: Simplify 0 into 0 1544005335.477 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.478 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.478 * [misc]backup-simplify: Simplify 0 into 0 1544005335.479 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.481 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.481 * [misc]backup-simplify: Simplify 0 into 0 1544005335.482 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.484 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.484 * [misc]backup-simplify: Simplify 0 into 0 1544005335.485 * [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 1544005335.487 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.487 * [misc]backup-simplify: Simplify 0 into 0 1544005335.487 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544005335.487 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 1544005335.487 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544005335.487 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544005335.487 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005335.488 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.488 * [misc]backup-simplify: Simplify 2 into 2 1544005335.488 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005335.488 * [misc]taylor: Taking taylor expansion of n in n 1544005335.488 * [misc]backup-simplify: Simplify 0 into 0 1544005335.488 * [misc]backup-simplify: Simplify 1 into 1 1544005335.488 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.488 * [misc]backup-simplify: Simplify PI into PI 1544005335.488 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005335.488 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.488 * [misc]backup-simplify: Simplify 2 into 2 1544005335.488 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005335.488 * [misc]taylor: Taking taylor expansion of n in n 1544005335.488 * [misc]backup-simplify: Simplify 0 into 0 1544005335.488 * [misc]backup-simplify: Simplify 1 into 1 1544005335.488 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.488 * [misc]backup-simplify: Simplify PI into PI 1544005335.488 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005335.488 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005335.488 * [misc]backup-simplify: Simplify 0 into 0 1544005335.489 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005335.489 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005335.489 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.490 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005335.490 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005335.491 * [misc]backup-simplify: Simplify 0 into 0 1544005335.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.492 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005335.492 * [misc]backup-simplify: Simplify 0 into 0 1544005335.494 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.495 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005335.495 * [misc]backup-simplify: Simplify 0 into 0 1544005335.496 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.498 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544005335.498 * [misc]backup-simplify: Simplify 0 into 0 1544005335.500 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.502 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544005335.502 * [misc]backup-simplify: Simplify 0 into 0 1544005335.504 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544005335.507 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544005335.507 * [misc]backup-simplify: Simplify 0 into 0 1544005335.507 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544005335.507 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544005335.507 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544005335.507 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005335.507 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.507 * [misc]backup-simplify: Simplify 2 into 2 1544005335.507 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.507 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.507 * [misc]backup-simplify: Simplify PI into PI 1544005335.507 * [misc]taylor: Taking taylor expansion of n in n 1544005335.507 * [misc]backup-simplify: Simplify 0 into 0 1544005335.507 * [misc]backup-simplify: Simplify 1 into 1 1544005335.508 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.508 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005335.508 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.508 * [misc]backup-simplify: Simplify 2 into 2 1544005335.508 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.508 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.508 * [misc]backup-simplify: Simplify PI into PI 1544005335.508 * [misc]taylor: Taking taylor expansion of n in n 1544005335.508 * [misc]backup-simplify: Simplify 0 into 0 1544005335.508 * [misc]backup-simplify: Simplify 1 into 1 1544005335.508 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.508 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.508 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.509 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005335.509 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005335.509 * [misc]backup-simplify: Simplify 0 into 0 1544005335.510 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.511 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005335.511 * [misc]backup-simplify: Simplify 0 into 0 1544005335.512 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.513 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.513 * [misc]backup-simplify: Simplify 0 into 0 1544005335.514 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.517 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.517 * [misc]backup-simplify: Simplify 0 into 0 1544005335.519 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.522 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.522 * [misc]backup-simplify: Simplify 0 into 0 1544005335.525 * [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 1544005335.529 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.529 * [misc]backup-simplify: Simplify 0 into 0 1544005335.529 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544005335.529 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544005335.529 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544005335.529 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005335.529 * [misc]taylor: Taking taylor expansion of -2 in n 1544005335.529 * [misc]backup-simplify: Simplify -2 into -2 1544005335.529 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.529 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.529 * [misc]backup-simplify: Simplify PI into PI 1544005335.529 * [misc]taylor: Taking taylor expansion of n in n 1544005335.529 * [misc]backup-simplify: Simplify 0 into 0 1544005335.529 * [misc]backup-simplify: Simplify 1 into 1 1544005335.529 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.530 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005335.530 * [misc]taylor: Taking taylor expansion of -2 in n 1544005335.530 * [misc]backup-simplify: Simplify -2 into -2 1544005335.530 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.530 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.530 * [misc]backup-simplify: Simplify PI into PI 1544005335.530 * [misc]taylor: Taking taylor expansion of n in n 1544005335.530 * [misc]backup-simplify: Simplify 0 into 0 1544005335.530 * [misc]backup-simplify: Simplify 1 into 1 1544005335.530 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.530 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005335.530 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005335.531 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005335.531 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005335.531 * [misc]backup-simplify: Simplify 0 into 0 1544005335.532 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.533 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005335.533 * [misc]backup-simplify: Simplify 0 into 0 1544005335.534 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.535 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.535 * [misc]backup-simplify: Simplify 0 into 0 1544005335.536 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.537 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.537 * [misc]backup-simplify: Simplify 0 into 0 1544005335.539 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.540 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.540 * [misc]backup-simplify: Simplify 0 into 0 1544005335.542 * [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 1544005335.544 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.544 * [misc]backup-simplify: Simplify 0 into 0 1544005335.544 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544005335.544 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 1544005335.544 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544005335.544 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544005335.544 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005335.544 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.544 * [misc]backup-simplify: Simplify 2 into 2 1544005335.544 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005335.544 * [misc]taylor: Taking taylor expansion of n in n 1544005335.544 * [misc]backup-simplify: Simplify 0 into 0 1544005335.544 * [misc]backup-simplify: Simplify 1 into 1 1544005335.544 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.544 * [misc]backup-simplify: Simplify PI into PI 1544005335.544 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005335.544 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.544 * [misc]backup-simplify: Simplify 2 into 2 1544005335.544 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005335.544 * [misc]taylor: Taking taylor expansion of n in n 1544005335.544 * [misc]backup-simplify: Simplify 0 into 0 1544005335.544 * [misc]backup-simplify: Simplify 1 into 1 1544005335.544 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.544 * [misc]backup-simplify: Simplify PI into PI 1544005335.545 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005335.545 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005335.545 * [misc]backup-simplify: Simplify 0 into 0 1544005335.545 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005335.545 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005335.546 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.546 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005335.547 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005335.547 * [misc]backup-simplify: Simplify 0 into 0 1544005335.548 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.549 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005335.549 * [misc]backup-simplify: Simplify 0 into 0 1544005335.550 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.551 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005335.551 * [misc]backup-simplify: Simplify 0 into 0 1544005335.553 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.555 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544005335.555 * [misc]backup-simplify: Simplify 0 into 0 1544005335.557 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.559 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544005335.559 * [misc]backup-simplify: Simplify 0 into 0 1544005335.561 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544005335.564 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544005335.564 * [misc]backup-simplify: Simplify 0 into 0 1544005335.564 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544005335.564 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544005335.564 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544005335.564 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005335.564 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.564 * [misc]backup-simplify: Simplify 2 into 2 1544005335.564 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.564 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.564 * [misc]backup-simplify: Simplify PI into PI 1544005335.564 * [misc]taylor: Taking taylor expansion of n in n 1544005335.564 * [misc]backup-simplify: Simplify 0 into 0 1544005335.565 * [misc]backup-simplify: Simplify 1 into 1 1544005335.565 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.565 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005335.565 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.565 * [misc]backup-simplify: Simplify 2 into 2 1544005335.565 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.565 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.565 * [misc]backup-simplify: Simplify PI into PI 1544005335.565 * [misc]taylor: Taking taylor expansion of n in n 1544005335.565 * [misc]backup-simplify: Simplify 0 into 0 1544005335.565 * [misc]backup-simplify: Simplify 1 into 1 1544005335.565 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.566 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.566 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.567 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005335.568 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005335.568 * [misc]backup-simplify: Simplify 0 into 0 1544005335.569 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.570 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005335.570 * [misc]backup-simplify: Simplify 0 into 0 1544005335.572 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.574 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.574 * [misc]backup-simplify: Simplify 0 into 0 1544005335.576 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.578 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.578 * [misc]backup-simplify: Simplify 0 into 0 1544005335.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.583 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.583 * [misc]backup-simplify: Simplify 0 into 0 1544005335.585 * [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 1544005335.589 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.589 * [misc]backup-simplify: Simplify 0 into 0 1544005335.590 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544005335.590 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544005335.590 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544005335.590 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005335.590 * [misc]taylor: Taking taylor expansion of -2 in n 1544005335.590 * [misc]backup-simplify: Simplify -2 into -2 1544005335.590 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.590 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.590 * [misc]backup-simplify: Simplify PI into PI 1544005335.590 * [misc]taylor: Taking taylor expansion of n in n 1544005335.590 * [misc]backup-simplify: Simplify 0 into 0 1544005335.590 * [misc]backup-simplify: Simplify 1 into 1 1544005335.591 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.591 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005335.591 * [misc]taylor: Taking taylor expansion of -2 in n 1544005335.591 * [misc]backup-simplify: Simplify -2 into -2 1544005335.591 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.591 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.591 * [misc]backup-simplify: Simplify PI into PI 1544005335.591 * [misc]taylor: Taking taylor expansion of n in n 1544005335.591 * [misc]backup-simplify: Simplify 0 into 0 1544005335.591 * [misc]backup-simplify: Simplify 1 into 1 1544005335.591 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.591 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005335.592 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005335.592 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005335.593 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005335.593 * [misc]backup-simplify: Simplify 0 into 0 1544005335.594 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.594 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005335.594 * [misc]backup-simplify: Simplify 0 into 0 1544005335.595 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.596 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.596 * [misc]backup-simplify: Simplify 0 into 0 1544005335.597 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.599 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.599 * [misc]backup-simplify: Simplify 0 into 0 1544005335.600 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.602 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.602 * [misc]backup-simplify: Simplify 0 into 0 1544005335.603 * [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 1544005335.605 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.605 * [misc]backup-simplify: Simplify 0 into 0 1544005335.605 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544005335.605 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 1544005335.605 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544005335.605 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544005335.605 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005335.605 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.605 * [misc]backup-simplify: Simplify 2 into 2 1544005335.605 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005335.605 * [misc]taylor: Taking taylor expansion of n in n 1544005335.605 * [misc]backup-simplify: Simplify 0 into 0 1544005335.605 * [misc]backup-simplify: Simplify 1 into 1 1544005335.605 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.605 * [misc]backup-simplify: Simplify PI into PI 1544005335.605 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005335.605 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.605 * [misc]backup-simplify: Simplify 2 into 2 1544005335.606 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005335.606 * [misc]taylor: Taking taylor expansion of n in n 1544005335.606 * [misc]backup-simplify: Simplify 0 into 0 1544005335.606 * [misc]backup-simplify: Simplify 1 into 1 1544005335.606 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.606 * [misc]backup-simplify: Simplify PI into PI 1544005335.606 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005335.606 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005335.606 * [misc]backup-simplify: Simplify 0 into 0 1544005335.606 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005335.607 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005335.607 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.608 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005335.608 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005335.608 * [misc]backup-simplify: Simplify 0 into 0 1544005335.609 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.610 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005335.610 * [misc]backup-simplify: Simplify 0 into 0 1544005335.612 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.613 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005335.613 * [misc]backup-simplify: Simplify 0 into 0 1544005335.614 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.616 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544005335.616 * [misc]backup-simplify: Simplify 0 into 0 1544005335.618 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.620 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544005335.620 * [misc]backup-simplify: Simplify 0 into 0 1544005335.622 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544005335.625 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544005335.625 * [misc]backup-simplify: Simplify 0 into 0 1544005335.626 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544005335.626 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544005335.626 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544005335.626 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005335.626 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.626 * [misc]backup-simplify: Simplify 2 into 2 1544005335.626 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.626 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.626 * [misc]backup-simplify: Simplify PI into PI 1544005335.626 * [misc]taylor: Taking taylor expansion of n in n 1544005335.626 * [misc]backup-simplify: Simplify 0 into 0 1544005335.626 * [misc]backup-simplify: Simplify 1 into 1 1544005335.626 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.626 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005335.626 * [misc]taylor: Taking taylor expansion of 2 in n 1544005335.626 * [misc]backup-simplify: Simplify 2 into 2 1544005335.626 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.626 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.626 * [misc]backup-simplify: Simplify PI into PI 1544005335.626 * [misc]taylor: Taking taylor expansion of n in n 1544005335.626 * [misc]backup-simplify: Simplify 0 into 0 1544005335.626 * [misc]backup-simplify: Simplify 1 into 1 1544005335.627 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.627 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.627 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005335.628 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005335.628 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005335.628 * [misc]backup-simplify: Simplify 0 into 0 1544005335.629 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.630 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005335.630 * [misc]backup-simplify: Simplify 0 into 0 1544005335.631 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.631 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.632 * [misc]backup-simplify: Simplify 0 into 0 1544005335.633 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.634 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.634 * [misc]backup-simplify: Simplify 0 into 0 1544005335.635 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.637 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.637 * [misc]backup-simplify: Simplify 0 into 0 1544005335.639 * [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 1544005335.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.642 * [misc]backup-simplify: Simplify 0 into 0 1544005335.642 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544005335.643 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544005335.643 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544005335.643 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005335.643 * [misc]taylor: Taking taylor expansion of -2 in n 1544005335.643 * [misc]backup-simplify: Simplify -2 into -2 1544005335.643 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.643 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.643 * [misc]backup-simplify: Simplify PI into PI 1544005335.643 * [misc]taylor: Taking taylor expansion of n in n 1544005335.643 * [misc]backup-simplify: Simplify 0 into 0 1544005335.643 * [misc]backup-simplify: Simplify 1 into 1 1544005335.643 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.643 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005335.643 * [misc]taylor: Taking taylor expansion of -2 in n 1544005335.643 * [misc]backup-simplify: Simplify -2 into -2 1544005335.643 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005335.643 * [misc]taylor: Taking taylor expansion of PI in n 1544005335.643 * [misc]backup-simplify: Simplify PI into PI 1544005335.643 * [misc]taylor: Taking taylor expansion of n in n 1544005335.643 * [misc]backup-simplify: Simplify 0 into 0 1544005335.643 * [misc]backup-simplify: Simplify 1 into 1 1544005335.644 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005335.644 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005335.644 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005335.645 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005335.646 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005335.646 * [misc]backup-simplify: Simplify 0 into 0 1544005335.647 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.648 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005335.648 * [misc]backup-simplify: Simplify 0 into 0 1544005335.650 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.652 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005335.652 * [misc]backup-simplify: Simplify 0 into 0 1544005335.654 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.656 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005335.656 * [misc]backup-simplify: Simplify 0 into 0 1544005335.658 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005335.661 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005335.661 * [misc]backup-simplify: Simplify 0 into 0 1544005335.663 * [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 1544005335.667 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005335.667 * [misc]backup-simplify: Simplify 0 into 0 1544005335.667 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544005335.667 * * * [misc]progress: simplifying candidates 1544005335.667 * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # 1544005335.668 * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # 1544005335.669 * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # 1544005335.670 * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # 1544005335.671 * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # 1544005335.671 * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # 1544005335.671 * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # 1544005335.671 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.671 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.673 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.675 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.679 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.681 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.681 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005335.681 * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # 1544005335.682 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.682 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.683 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.684 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.686 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.688 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.688 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005335.688 * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # 1544005335.688 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.688 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.689 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.690 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.692 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.694 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.694 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005335.695 * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # 1544005335.695 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.695 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.696 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.697 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.699 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.701 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.701 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))))) 1544005335.701 * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # 1544005335.702 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.702 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.702 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.704 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.706 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.708 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.708 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))))) 1544005335.708 * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # 1544005335.708 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.708 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.709 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.710 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.713 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.717 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.717 * [misc]simplify: Simplified (2 2 2 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))))) 1544005335.717 * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # 1544005335.718 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.718 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.719 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.722 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.726 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.730 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.730 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005335.730 * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # 1544005335.731 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.731 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.732 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.735 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.740 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.745 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.745 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005335.745 * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # 1544005335.745 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.745 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.747 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.750 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.754 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.758 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.758 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005335.758 * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # 1544005335.758 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.759 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.760 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.763 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.767 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.771 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.771 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005335.771 * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # 1544005335.772 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.772 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.774 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.776 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.781 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.785 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.785 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005335.785 * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # 1544005335.785 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005335.785 * * [misc]simplify: iters left: 4 (5 enodes) 1544005335.787 * * [misc]simplify: iters left: 3 (9 enodes) 1544005335.790 * * [misc]simplify: iters left: 2 (15 enodes) 1544005335.794 * * [misc]simplify: iters left: 1 (17 enodes) 1544005335.798 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005335.798 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1544005335.798 * * * [misc]progress: adding candidates to table 1544005336.676 * * [misc]progress: iteration 4 / 4 1544005336.677 * * * [misc]progress: picking best candidate 1544005336.720 * * * * [misc]pick: Picked # 1544005336.720 * * * [misc]progress: localizing error 1544005336.735 * * * [misc]progress: generating rewritten candidates 1544005336.735 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1544005336.738 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1544005336.741 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544005336.768 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1544005336.804 * * * [misc]progress: generating series expansions 1544005336.804 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1) 1544005336.804 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544005336.804 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544005336.805 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005336.805 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.805 * [misc]backup-simplify: Simplify 2 into 2 1544005336.805 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005336.805 * [misc]taylor: Taking taylor expansion of n in n 1544005336.805 * [misc]backup-simplify: Simplify 0 into 0 1544005336.805 * [misc]backup-simplify: Simplify 1 into 1 1544005336.805 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.805 * [misc]backup-simplify: Simplify PI into PI 1544005336.805 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005336.805 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.805 * [misc]backup-simplify: Simplify 2 into 2 1544005336.805 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005336.805 * [misc]taylor: Taking taylor expansion of n in n 1544005336.805 * [misc]backup-simplify: Simplify 0 into 0 1544005336.805 * [misc]backup-simplify: Simplify 1 into 1 1544005336.805 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.805 * [misc]backup-simplify: Simplify PI into PI 1544005336.806 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005336.806 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005336.806 * [misc]backup-simplify: Simplify 0 into 0 1544005336.807 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005336.807 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005336.808 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005336.809 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005336.810 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005336.810 * [misc]backup-simplify: Simplify 0 into 0 1544005336.811 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005336.813 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005336.813 * [misc]backup-simplify: Simplify 0 into 0 1544005336.815 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005336.817 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005336.817 * [misc]backup-simplify: Simplify 0 into 0 1544005336.820 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005336.823 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544005336.823 * [misc]backup-simplify: Simplify 0 into 0 1544005336.827 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005336.830 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544005336.830 * [misc]backup-simplify: Simplify 0 into 0 1544005336.834 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544005336.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544005336.839 * [misc]backup-simplify: Simplify 0 into 0 1544005336.839 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544005336.839 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544005336.839 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544005336.839 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005336.839 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.839 * [misc]backup-simplify: Simplify 2 into 2 1544005336.839 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005336.840 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.840 * [misc]backup-simplify: Simplify PI into PI 1544005336.840 * [misc]taylor: Taking taylor expansion of n in n 1544005336.840 * [misc]backup-simplify: Simplify 0 into 0 1544005336.840 * [misc]backup-simplify: Simplify 1 into 1 1544005336.840 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005336.840 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005336.840 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.840 * [misc]backup-simplify: Simplify 2 into 2 1544005336.840 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005336.840 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.840 * [misc]backup-simplify: Simplify PI into PI 1544005336.840 * [misc]taylor: Taking taylor expansion of n in n 1544005336.840 * [misc]backup-simplify: Simplify 0 into 0 1544005336.840 * [misc]backup-simplify: Simplify 1 into 1 1544005336.840 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005336.840 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005336.840 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005336.841 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005336.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005336.842 * [misc]backup-simplify: Simplify 0 into 0 1544005336.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.843 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005336.843 * [misc]backup-simplify: Simplify 0 into 0 1544005336.844 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.845 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005336.845 * [misc]backup-simplify: Simplify 0 into 0 1544005336.846 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.847 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005336.847 * [misc]backup-simplify: Simplify 0 into 0 1544005336.848 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005336.850 * [misc]backup-simplify: Simplify 0 into 0 1544005336.851 * [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 1544005336.853 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005336.853 * [misc]backup-simplify: Simplify 0 into 0 1544005336.854 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544005336.854 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544005336.854 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544005336.854 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005336.854 * [misc]taylor: Taking taylor expansion of -2 in n 1544005336.854 * [misc]backup-simplify: Simplify -2 into -2 1544005336.854 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005336.854 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.854 * [misc]backup-simplify: Simplify PI into PI 1544005336.854 * [misc]taylor: Taking taylor expansion of n in n 1544005336.854 * [misc]backup-simplify: Simplify 0 into 0 1544005336.854 * [misc]backup-simplify: Simplify 1 into 1 1544005336.854 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005336.854 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005336.854 * [misc]taylor: Taking taylor expansion of -2 in n 1544005336.854 * [misc]backup-simplify: Simplify -2 into -2 1544005336.854 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005336.854 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.854 * [misc]backup-simplify: Simplify PI into PI 1544005336.854 * [misc]taylor: Taking taylor expansion of n in n 1544005336.854 * [misc]backup-simplify: Simplify 0 into 0 1544005336.854 * [misc]backup-simplify: Simplify 1 into 1 1544005336.854 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005336.855 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005336.855 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005336.855 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005336.856 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005336.856 * [misc]backup-simplify: Simplify 0 into 0 1544005336.857 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.857 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005336.857 * [misc]backup-simplify: Simplify 0 into 0 1544005336.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.860 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005336.860 * [misc]backup-simplify: Simplify 0 into 0 1544005336.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.863 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005336.864 * [misc]backup-simplify: Simplify 0 into 0 1544005336.866 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.868 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005336.868 * [misc]backup-simplify: Simplify 0 into 0 1544005336.871 * [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 1544005336.874 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005336.874 * [misc]backup-simplify: Simplify 0 into 0 1544005336.875 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544005336.875 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1544005336.875 * [misc]backup-simplify: Simplify (* (* PI 2) n) into (* 2 (* n PI)) 1544005336.875 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544005336.875 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005336.876 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.876 * [misc]backup-simplify: Simplify 2 into 2 1544005336.876 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005336.876 * [misc]taylor: Taking taylor expansion of n in n 1544005336.876 * [misc]backup-simplify: Simplify 0 into 0 1544005336.876 * [misc]backup-simplify: Simplify 1 into 1 1544005336.876 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.876 * [misc]backup-simplify: Simplify PI into PI 1544005336.876 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005336.876 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.876 * [misc]backup-simplify: Simplify 2 into 2 1544005336.876 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005336.876 * [misc]taylor: Taking taylor expansion of n in n 1544005336.876 * [misc]backup-simplify: Simplify 0 into 0 1544005336.876 * [misc]backup-simplify: Simplify 1 into 1 1544005336.876 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.876 * [misc]backup-simplify: Simplify PI into PI 1544005336.876 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005336.876 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005336.876 * [misc]backup-simplify: Simplify 0 into 0 1544005336.877 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005336.878 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005336.878 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005336.879 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005336.880 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005336.880 * [misc]backup-simplify: Simplify 0 into 0 1544005336.882 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005336.884 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005336.884 * [misc]backup-simplify: Simplify 0 into 0 1544005336.886 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005336.888 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005336.888 * [misc]backup-simplify: Simplify 0 into 0 1544005336.891 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005336.894 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544005336.894 * [misc]backup-simplify: Simplify 0 into 0 1544005336.897 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005336.901 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544005336.901 * [misc]backup-simplify: Simplify 0 into 0 1544005336.905 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544005336.909 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544005336.909 * [misc]backup-simplify: Simplify 0 into 0 1544005336.909 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544005336.910 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 n)) into (* 2 (/ PI n)) 1544005336.910 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544005336.910 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005336.910 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.910 * [misc]backup-simplify: Simplify 2 into 2 1544005336.910 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005336.910 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.910 * [misc]backup-simplify: Simplify PI into PI 1544005336.910 * [misc]taylor: Taking taylor expansion of n in n 1544005336.910 * [misc]backup-simplify: Simplify 0 into 0 1544005336.910 * [misc]backup-simplify: Simplify 1 into 1 1544005336.910 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005336.910 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005336.910 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.910 * [misc]backup-simplify: Simplify 2 into 2 1544005336.910 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005336.910 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.910 * [misc]backup-simplify: Simplify PI into PI 1544005336.910 * [misc]taylor: Taking taylor expansion of n in n 1544005336.910 * [misc]backup-simplify: Simplify 0 into 0 1544005336.910 * [misc]backup-simplify: Simplify 1 into 1 1544005336.911 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005336.911 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005336.911 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005336.912 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005336.913 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005336.913 * [misc]backup-simplify: Simplify 0 into 0 1544005336.914 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.915 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005336.915 * [misc]backup-simplify: Simplify 0 into 0 1544005336.917 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005336.919 * [misc]backup-simplify: Simplify 0 into 0 1544005336.921 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.923 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005336.923 * [misc]backup-simplify: Simplify 0 into 0 1544005336.925 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.928 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005336.928 * [misc]backup-simplify: Simplify 0 into 0 1544005336.930 * [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 1544005336.933 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005336.933 * [misc]backup-simplify: Simplify 0 into 0 1544005336.934 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544005336.934 * [misc]backup-simplify: Simplify (* (* PI 2) (/ 1 (- n))) into (* -2 (/ PI n)) 1544005336.934 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544005336.934 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005336.934 * [misc]taylor: Taking taylor expansion of -2 in n 1544005336.934 * [misc]backup-simplify: Simplify -2 into -2 1544005336.934 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005336.934 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.934 * [misc]backup-simplify: Simplify PI into PI 1544005336.934 * [misc]taylor: Taking taylor expansion of n in n 1544005336.934 * [misc]backup-simplify: Simplify 0 into 0 1544005336.934 * [misc]backup-simplify: Simplify 1 into 1 1544005336.935 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005336.935 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005336.935 * [misc]taylor: Taking taylor expansion of -2 in n 1544005336.935 * [misc]backup-simplify: Simplify -2 into -2 1544005336.935 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005336.935 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.935 * [misc]backup-simplify: Simplify PI into PI 1544005336.935 * [misc]taylor: Taking taylor expansion of n in n 1544005336.935 * [misc]backup-simplify: Simplify 0 into 0 1544005336.935 * [misc]backup-simplify: Simplify 1 into 1 1544005336.935 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005336.935 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005336.936 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005336.939 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005336.940 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005336.940 * [misc]backup-simplify: Simplify 0 into 0 1544005336.942 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.943 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005336.943 * [misc]backup-simplify: Simplify 0 into 0 1544005336.944 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.946 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005336.946 * [misc]backup-simplify: Simplify 0 into 0 1544005336.948 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.950 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005336.950 * [misc]backup-simplify: Simplify 0 into 0 1544005336.952 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005336.956 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005336.956 * [misc]backup-simplify: Simplify 0 into 0 1544005336.958 * [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 1544005336.961 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005336.962 * [misc]backup-simplify: Simplify 0 into 0 1544005336.962 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544005336.962 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544005336.963 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) 1544005336.963 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0 1544005336.963 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1544005336.963 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1544005336.963 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005336.963 * [misc]taylor: Taking taylor expansion of 2 in k 1544005336.963 * [misc]backup-simplify: Simplify 2 into 2 1544005336.963 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005336.964 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005336.964 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1544005336.964 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544005336.964 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544005336.964 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544005336.964 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544005336.964 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005336.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005336.964 * [misc]taylor: Taking taylor expansion of k in k 1544005336.964 * [misc]backup-simplify: Simplify 0 into 0 1544005336.964 * [misc]backup-simplify: Simplify 1 into 1 1544005336.964 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544005336.964 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544005336.964 * [misc]taylor: Taking taylor expansion of 2 in k 1544005336.964 * [misc]backup-simplify: Simplify 2 into 2 1544005336.964 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544005336.964 * [misc]taylor: Taking taylor expansion of n in k 1544005336.964 * [misc]backup-simplify: Simplify n into n 1544005336.964 * [misc]taylor: Taking taylor expansion of PI in k 1544005336.964 * [misc]backup-simplify: Simplify PI into PI 1544005336.964 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544005336.964 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544005336.964 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544005336.964 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544005336.965 * [misc]backup-simplify: Simplify (- 0) into 0 1544005336.965 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1544005336.965 * [misc]backup-simplify: Simplify (- 0) into 0 1544005336.965 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544005336.965 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544005336.966 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544005336.966 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544005336.967 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005336.967 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544005336.967 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005336.967 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1544005336.967 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1544005336.967 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544005336.967 * [misc]taylor: Taking taylor expansion of n in k 1544005336.967 * [misc]backup-simplify: Simplify n into n 1544005336.967 * [misc]taylor: Taking taylor expansion of PI in k 1544005336.967 * [misc]backup-simplify: Simplify PI into PI 1544005336.967 * [misc]taylor: Taking taylor expansion of k in k 1544005336.967 * [misc]backup-simplify: Simplify 0 into 0 1544005336.967 * [misc]backup-simplify: Simplify 1 into 1 1544005336.967 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544005336.967 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1544005336.968 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005336.968 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1544005336.968 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1544005336.968 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1544005336.968 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544005336.968 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.968 * [misc]backup-simplify: Simplify 2 into 2 1544005336.968 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005336.968 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005336.968 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544005336.968 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005336.968 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005336.968 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544005336.968 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005336.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005336.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005336.969 * [misc]taylor: Taking taylor expansion of k in n 1544005336.969 * [misc]backup-simplify: Simplify k into k 1544005336.969 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005336.969 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005336.969 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.969 * [misc]backup-simplify: Simplify 2 into 2 1544005336.969 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005336.969 * [misc]taylor: Taking taylor expansion of n in n 1544005336.969 * [misc]backup-simplify: Simplify 0 into 0 1544005336.969 * [misc]backup-simplify: Simplify 1 into 1 1544005336.969 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.969 * [misc]backup-simplify: Simplify PI into PI 1544005336.969 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005336.969 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005336.970 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005336.971 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005336.971 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005336.971 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005336.971 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005336.972 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005336.972 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544005336.973 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544005336.973 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1544005336.973 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1544005336.973 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005336.973 * [misc]taylor: Taking taylor expansion of n in n 1544005336.973 * [misc]backup-simplify: Simplify 0 into 0 1544005336.973 * [misc]backup-simplify: Simplify 1 into 1 1544005336.973 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.973 * [misc]backup-simplify: Simplify PI into PI 1544005336.973 * [misc]taylor: Taking taylor expansion of k in n 1544005336.973 * [misc]backup-simplify: Simplify k into k 1544005336.974 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005336.974 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005336.974 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1544005336.974 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005336.975 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1544005336.975 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1544005336.975 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1544005336.975 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544005336.975 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.975 * [misc]backup-simplify: Simplify 2 into 2 1544005336.975 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005336.975 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005336.975 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544005336.975 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005336.975 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005336.975 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544005336.975 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005336.975 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005336.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005336.975 * [misc]taylor: Taking taylor expansion of k in n 1544005336.975 * [misc]backup-simplify: Simplify k into k 1544005336.975 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005336.976 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005336.976 * [misc]taylor: Taking taylor expansion of 2 in n 1544005336.976 * [misc]backup-simplify: Simplify 2 into 2 1544005336.976 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005336.976 * [misc]taylor: Taking taylor expansion of n in n 1544005336.976 * [misc]backup-simplify: Simplify 0 into 0 1544005336.976 * [misc]backup-simplify: Simplify 1 into 1 1544005336.976 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.976 * [misc]backup-simplify: Simplify PI into PI 1544005336.976 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005336.976 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005336.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005336.977 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005336.978 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005336.978 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005336.978 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005336.979 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005336.979 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544005336.980 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544005336.980 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1544005336.980 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1544005336.980 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005336.980 * [misc]taylor: Taking taylor expansion of n in n 1544005336.980 * [misc]backup-simplify: Simplify 0 into 0 1544005336.980 * [misc]backup-simplify: Simplify 1 into 1 1544005336.980 * [misc]taylor: Taking taylor expansion of PI in n 1544005336.980 * [misc]backup-simplify: Simplify PI into PI 1544005336.980 * [misc]taylor: Taking taylor expansion of k in n 1544005336.980 * [misc]backup-simplify: Simplify k into k 1544005336.980 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005336.981 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005336.981 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1544005336.981 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005336.981 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1544005336.982 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1544005336.983 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1544005336.983 * [misc]taylor: Taking taylor expansion of 0 in k 1544005336.983 * [misc]backup-simplify: Simplify 0 into 0 1544005336.983 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005336.984 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005336.985 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005336.988 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005336.988 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544005336.988 * [misc]backup-simplify: Simplify (- 0) into 0 1544005336.989 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005336.990 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544005336.991 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005336.992 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0 1544005336.993 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) 1544005336.993 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005336.994 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005336.994 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of 2 in k 1544005336.994 * [misc]backup-simplify: Simplify 2 into 2 1544005336.994 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005336.994 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005336.994 * [misc]taylor: Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of PI in k 1544005336.994 * [misc]backup-simplify: Simplify PI into PI 1544005336.994 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005336.994 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005336.994 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005336.994 * [misc]taylor: Taking taylor expansion of n in k 1544005336.994 * [misc]backup-simplify: Simplify n into n 1544005336.995 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005336.995 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005336.995 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005336.995 * [misc]taylor: Taking taylor expansion of 2 in k 1544005336.995 * [misc]backup-simplify: Simplify 2 into 2 1544005336.995 * [misc]taylor: Taking taylor expansion of PI in k 1544005336.995 * [misc]backup-simplify: Simplify PI into PI 1544005336.995 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005336.995 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005336.995 * [misc]taylor: Taking taylor expansion of k in k 1544005336.996 * [misc]backup-simplify: Simplify 0 into 0 1544005336.996 * [misc]backup-simplify: Simplify 1 into 1 1544005336.996 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005336.997 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544005336.997 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544005336.997 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544005336.998 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005337.001 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005337.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005337.002 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544005337.002 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005337.002 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005337.002 * [misc]taylor: Taking taylor expansion of k in k 1544005337.002 * [misc]backup-simplify: Simplify 0 into 0 1544005337.002 * [misc]backup-simplify: Simplify 1 into 1 1544005337.003 * [misc]backup-simplify: Simplify (* PI 1) into PI 1544005337.003 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1544005337.004 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1544005337.005 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1544005337.006 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544005337.006 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544005337.007 * [misc]backup-simplify: Simplify 0 into 0 1544005337.008 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005337.008 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1544005337.008 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1544005337.009 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005337.010 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005337.012 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005337.017 * [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 1544005337.017 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.018 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544005337.018 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.018 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005337.019 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544005337.020 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005337.021 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544005337.021 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0 1544005337.022 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) 1544005337.022 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) in k 1544005337.022 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2))) in k 1544005337.022 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005337.022 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005337.022 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)) in k 1544005337.022 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.023 * [misc]backup-simplify: Simplify 2 into 2 1544005337.023 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.023 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.023 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.023 * [misc]backup-simplify: Simplify PI into PI 1544005337.023 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005337.023 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005337.023 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of n in k 1544005337.023 * [misc]backup-simplify: Simplify n into n 1544005337.023 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.023 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005337.023 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.023 * [misc]backup-simplify: Simplify 2 into 2 1544005337.023 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.023 * [misc]backup-simplify: Simplify PI into PI 1544005337.023 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.024 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.024 * [misc]taylor: Taking taylor expansion of k in k 1544005337.024 * [misc]backup-simplify: Simplify 0 into 0 1544005337.024 * [misc]backup-simplify: Simplify 1 into 1 1544005337.024 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005337.024 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544005337.024 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544005337.025 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544005337.025 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005337.027 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005337.027 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005337.027 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544005337.028 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005337.028 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005337.028 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1544005337.028 * [misc]taylor: Taking taylor expansion of k in k 1544005337.028 * [misc]backup-simplify: Simplify 0 into 0 1544005337.028 * [misc]backup-simplify: Simplify 1 into 1 1544005337.028 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544005337.029 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1544005337.030 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1544005337.030 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544005337.030 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1544005337.031 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005337.032 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1544005337.033 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n))))) 1544005337.034 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))) (* 0 (pow PI 2))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1544005337.034 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544005337.037 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1544005337.039 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* 0 (* (sqrt 2) (pow PI 2)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544005337.041 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544005337.042 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) 1544005337.043 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005337.044 * [misc]backup-simplify: Simplify (+ (* PI (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n))))) 1544005337.045 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))) (* 0 PI)) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1544005337.047 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1544005337.049 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 0 (* (sqrt 2) PI))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544005337.050 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544005337.051 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544005337.056 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 1 n)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* (/ 1 k) (pow n 2))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1544005337.057 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 n))) (/ (/ (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k))))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) 1544005337.057 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (n k) around 0 1544005337.057 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1544005337.057 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1544005337.057 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005337.057 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.057 * [misc]backup-simplify: Simplify 2 into 2 1544005337.058 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.058 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.058 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1544005337.058 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544005337.058 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544005337.058 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544005337.058 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005337.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005337.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.058 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005337.058 * [misc]taylor: Taking taylor expansion of k in k 1544005337.058 * [misc]backup-simplify: Simplify 0 into 0 1544005337.058 * [misc]backup-simplify: Simplify 1 into 1 1544005337.058 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005337.058 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544005337.058 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544005337.058 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.058 * [misc]backup-simplify: Simplify 2 into 2 1544005337.058 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005337.059 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.059 * [misc]backup-simplify: Simplify PI into PI 1544005337.059 * [misc]taylor: Taking taylor expansion of n in k 1544005337.059 * [misc]backup-simplify: Simplify n into n 1544005337.059 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005337.059 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544005337.059 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544005337.059 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005337.059 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005337.059 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544005337.060 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1544005337.060 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1544005337.060 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1544005337.060 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1544005337.060 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.060 * [misc]backup-simplify: Simplify PI into PI 1544005337.060 * [misc]taylor: Taking taylor expansion of k in k 1544005337.060 * [misc]backup-simplify: Simplify 0 into 0 1544005337.060 * [misc]backup-simplify: Simplify 1 into 1 1544005337.060 * [misc]taylor: Taking taylor expansion of n in k 1544005337.060 * [misc]backup-simplify: Simplify n into n 1544005337.060 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544005337.061 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544005337.061 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005337.061 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.061 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1544005337.061 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1544005337.061 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1544005337.061 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544005337.061 * [misc]taylor: Taking taylor expansion of 2 in n 1544005337.061 * [misc]backup-simplify: Simplify 2 into 2 1544005337.062 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.062 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.062 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544005337.062 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005337.062 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005337.062 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544005337.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005337.062 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.062 * [misc]taylor: Taking taylor expansion of k in n 1544005337.062 * [misc]backup-simplify: Simplify k into k 1544005337.062 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.062 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005337.062 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005337.062 * [misc]taylor: Taking taylor expansion of 2 in n 1544005337.062 * [misc]backup-simplify: Simplify 2 into 2 1544005337.062 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.062 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.062 * [misc]backup-simplify: Simplify PI into PI 1544005337.062 * [misc]taylor: Taking taylor expansion of n in n 1544005337.062 * [misc]backup-simplify: Simplify 0 into 0 1544005337.062 * [misc]backup-simplify: Simplify 1 into 1 1544005337.063 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.063 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.063 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.063 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005337.064 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.064 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.065 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544005337.065 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.065 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1544005337.065 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1544005337.065 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1544005337.065 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.065 * [misc]backup-simplify: Simplify PI into PI 1544005337.066 * [misc]taylor: Taking taylor expansion of k in n 1544005337.066 * [misc]backup-simplify: Simplify k into k 1544005337.066 * [misc]taylor: Taking taylor expansion of n in n 1544005337.066 * [misc]backup-simplify: Simplify 0 into 0 1544005337.066 * [misc]backup-simplify: Simplify 1 into 1 1544005337.066 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1544005337.066 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1544005337.066 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.066 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1544005337.066 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1544005337.066 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1544005337.066 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544005337.066 * [misc]taylor: Taking taylor expansion of 2 in n 1544005337.066 * [misc]backup-simplify: Simplify 2 into 2 1544005337.067 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.067 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.067 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544005337.067 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005337.067 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005337.067 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544005337.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005337.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.067 * [misc]taylor: Taking taylor expansion of k in n 1544005337.067 * [misc]backup-simplify: Simplify k into k 1544005337.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.067 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005337.067 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005337.067 * [misc]taylor: Taking taylor expansion of 2 in n 1544005337.067 * [misc]backup-simplify: Simplify 2 into 2 1544005337.067 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.067 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.067 * [misc]backup-simplify: Simplify PI into PI 1544005337.067 * [misc]taylor: Taking taylor expansion of n in n 1544005337.067 * [misc]backup-simplify: Simplify 0 into 0 1544005337.067 * [misc]backup-simplify: Simplify 1 into 1 1544005337.068 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.068 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.068 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.069 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005337.069 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.070 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544005337.070 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.070 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1544005337.071 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1544005337.071 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1544005337.071 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.071 * [misc]backup-simplify: Simplify PI into PI 1544005337.071 * [misc]taylor: Taking taylor expansion of k in n 1544005337.071 * [misc]backup-simplify: Simplify k into k 1544005337.071 * [misc]taylor: Taking taylor expansion of n in n 1544005337.071 * [misc]backup-simplify: Simplify 0 into 0 1544005337.071 * [misc]backup-simplify: Simplify 1 into 1 1544005337.071 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1544005337.071 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1544005337.071 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.071 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1544005337.072 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1544005337.073 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0 1544005337.073 * [misc]taylor: Taking taylor expansion of 0 in k 1544005337.073 * [misc]backup-simplify: Simplify 0 into 0 1544005337.073 * [misc]backup-simplify: Simplify 0 into 0 1544005337.073 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.074 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005337.075 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005337.078 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005337.078 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005337.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005337.078 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.079 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.079 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544005337.082 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005337.083 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1544005337.084 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) 1544005337.084 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k 1544005337.084 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k 1544005337.084 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005337.084 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005337.084 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k 1544005337.084 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005337.084 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005337.084 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005337.084 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005337.084 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005337.084 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005337.084 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005337.084 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005337.084 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.084 * [misc]backup-simplify: Simplify 2 into 2 1544005337.084 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.084 * [misc]backup-simplify: Simplify PI into PI 1544005337.084 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.085 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.085 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.085 * [misc]taylor: Taking taylor expansion of n in k 1544005337.085 * [misc]backup-simplify: Simplify n into n 1544005337.085 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.085 * [misc]taylor: Taking taylor expansion of k in k 1544005337.085 * [misc]backup-simplify: Simplify 0 into 0 1544005337.085 * [misc]backup-simplify: Simplify 1 into 1 1544005337.085 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.086 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005337.086 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005337.087 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005337.087 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.087 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1544005337.087 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005337.087 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.087 * [misc]backup-simplify: Simplify 2 into 2 1544005337.088 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.088 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.088 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1544005337.088 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.088 * [misc]backup-simplify: Simplify PI into PI 1544005337.088 * [misc]taylor: Taking taylor expansion of k in k 1544005337.088 * [misc]backup-simplify: Simplify 0 into 0 1544005337.088 * [misc]backup-simplify: Simplify 1 into 1 1544005337.088 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544005337.088 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544005337.089 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1544005337.089 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544005337.089 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.089 * [misc]backup-simplify: Simplify 0 into 0 1544005337.089 * [misc]backup-simplify: Simplify 0 into 0 1544005337.090 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1544005337.090 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1544005337.091 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1544005337.091 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.092 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.093 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005337.098 * [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 1544005337.099 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.099 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.099 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005337.099 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.100 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.101 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544005337.103 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005337.104 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544005337.105 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1544005337.105 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) 1544005337.105 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) in k 1544005337.105 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k 1544005337.106 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005337.106 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005337.106 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k 1544005337.106 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005337.106 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005337.106 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005337.106 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005337.106 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005337.106 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005337.106 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005337.106 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005337.106 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.106 * [misc]backup-simplify: Simplify 2 into 2 1544005337.106 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.106 * [misc]backup-simplify: Simplify PI into PI 1544005337.106 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.106 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.106 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.106 * [misc]taylor: Taking taylor expansion of n in k 1544005337.106 * [misc]backup-simplify: Simplify n into n 1544005337.106 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.106 * [misc]taylor: Taking taylor expansion of k in k 1544005337.106 * [misc]backup-simplify: Simplify 0 into 0 1544005337.106 * [misc]backup-simplify: Simplify 1 into 1 1544005337.106 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.107 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005337.107 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005337.107 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005337.108 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.108 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1544005337.108 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005337.108 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.108 * [misc]backup-simplify: Simplify 2 into 2 1544005337.108 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.108 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.108 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1544005337.108 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544005337.108 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.108 * [misc]backup-simplify: Simplify PI into PI 1544005337.108 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1544005337.108 * [misc]taylor: Taking taylor expansion of k in k 1544005337.108 * [misc]backup-simplify: Simplify 0 into 0 1544005337.108 * [misc]backup-simplify: Simplify 1 into 1 1544005337.109 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544005337.109 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1544005337.110 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (* 0 0)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1544005337.111 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544005337.112 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544005337.112 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1544005337.112 * [misc]backup-simplify: Simplify 0 into 0 1544005337.113 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1544005337.113 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.114 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3))) 1544005337.114 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.115 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.116 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005337.120 * [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 1544005337.120 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.120 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.120 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.121 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544005337.121 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.121 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.122 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544005337.124 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544005337.124 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005337.125 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1544005337.126 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) 1544005337.126 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) in k 1544005337.126 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k 1544005337.126 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005337.126 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005337.126 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k 1544005337.126 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005337.126 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005337.126 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005337.126 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005337.126 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005337.126 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005337.126 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005337.126 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005337.126 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.126 * [misc]backup-simplify: Simplify 2 into 2 1544005337.126 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.126 * [misc]backup-simplify: Simplify PI into PI 1544005337.126 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.127 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.127 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.127 * [misc]taylor: Taking taylor expansion of n in k 1544005337.127 * [misc]backup-simplify: Simplify n into n 1544005337.127 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.127 * [misc]taylor: Taking taylor expansion of k in k 1544005337.127 * [misc]backup-simplify: Simplify 0 into 0 1544005337.127 * [misc]backup-simplify: Simplify 1 into 1 1544005337.127 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.127 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005337.128 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005337.128 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005337.128 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.128 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1544005337.128 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005337.128 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.128 * [misc]backup-simplify: Simplify 2 into 2 1544005337.129 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.129 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.129 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1544005337.129 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1544005337.129 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.129 * [misc]backup-simplify: Simplify PI into PI 1544005337.129 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1544005337.129 * [misc]taylor: Taking taylor expansion of k in k 1544005337.129 * [misc]backup-simplify: Simplify 0 into 0 1544005337.129 * [misc]backup-simplify: Simplify 1 into 1 1544005337.129 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1544005337.130 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544005337.131 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1544005337.132 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1544005337.133 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0 1544005337.133 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.133 * [misc]backup-simplify: Simplify 0 into 0 1544005337.133 * [misc]backup-simplify: Simplify 0 into 0 1544005337.133 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544005337.134 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.134 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4))) 1544005337.134 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.138 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005337.151 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0 1544005337.152 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.152 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.152 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.152 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.153 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0 1544005337.153 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.154 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.155 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1544005337.161 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005337.162 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005337.163 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1544005337.166 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) 1544005337.166 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) in k 1544005337.166 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k 1544005337.166 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005337.166 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005337.166 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k 1544005337.166 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005337.166 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005337.166 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005337.166 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005337.166 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005337.166 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005337.166 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005337.166 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005337.166 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.166 * [misc]backup-simplify: Simplify 2 into 2 1544005337.166 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.166 * [misc]backup-simplify: Simplify PI into PI 1544005337.166 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.167 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.167 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.167 * [misc]taylor: Taking taylor expansion of n in k 1544005337.167 * [misc]backup-simplify: Simplify n into n 1544005337.167 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.167 * [misc]taylor: Taking taylor expansion of k in k 1544005337.167 * [misc]backup-simplify: Simplify 0 into 0 1544005337.167 * [misc]backup-simplify: Simplify 1 into 1 1544005337.167 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.168 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005337.168 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005337.169 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005337.169 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.169 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1544005337.169 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005337.169 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.169 * [misc]backup-simplify: Simplify 2 into 2 1544005337.170 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.170 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.170 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1544005337.170 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1544005337.170 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.170 * [misc]backup-simplify: Simplify PI into PI 1544005337.170 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1544005337.170 * [misc]taylor: Taking taylor expansion of k in k 1544005337.170 * [misc]backup-simplify: Simplify 0 into 0 1544005337.170 * [misc]backup-simplify: Simplify 1 into 1 1544005337.170 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544005337.171 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544005337.171 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1544005337.172 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1544005337.173 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1544005337.174 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) 1544005337.175 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1544005337.176 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) 1544005337.177 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544005337.178 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005337.179 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005337.181 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1544005337.183 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)))) into 0 1544005337.183 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.183 * [misc]backup-simplify: Simplify 0 into 0 1544005337.183 * [misc]backup-simplify: Simplify 0 into 0 1544005337.184 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1544005337.185 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.186 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5))) 1544005337.186 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.188 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.190 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544005337.201 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0 1544005337.201 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.201 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.201 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.201 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.201 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.202 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0 1544005337.202 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.202 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.203 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1544005337.209 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544005337.210 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005337.210 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))))) into 0 1544005337.212 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) 1544005337.212 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) in k 1544005337.212 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k 1544005337.212 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005337.212 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005337.212 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k 1544005337.212 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005337.212 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005337.212 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005337.212 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005337.212 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005337.212 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005337.212 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005337.212 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005337.212 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.212 * [misc]backup-simplify: Simplify 2 into 2 1544005337.212 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.212 * [misc]backup-simplify: Simplify PI into PI 1544005337.213 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.213 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.213 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.213 * [misc]taylor: Taking taylor expansion of n in k 1544005337.213 * [misc]backup-simplify: Simplify n into n 1544005337.213 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.213 * [misc]taylor: Taking taylor expansion of k in k 1544005337.213 * [misc]backup-simplify: Simplify 0 into 0 1544005337.213 * [misc]backup-simplify: Simplify 1 into 1 1544005337.213 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.213 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005337.214 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005337.214 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005337.214 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.214 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1544005337.214 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005337.214 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.214 * [misc]backup-simplify: Simplify 2 into 2 1544005337.215 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.215 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.215 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1544005337.215 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1544005337.215 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.215 * [misc]backup-simplify: Simplify PI into PI 1544005337.215 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1544005337.215 * [misc]taylor: Taking taylor expansion of k in k 1544005337.215 * [misc]backup-simplify: Simplify 0 into 0 1544005337.215 * [misc]backup-simplify: Simplify 1 into 1 1544005337.215 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544005337.216 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1544005337.216 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1544005337.217 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1544005337.218 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1544005337.218 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1544005337.219 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.219 * [misc]backup-simplify: Simplify 0 into 0 1544005337.219 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544005337.220 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005337.221 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005337.223 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0 1544005337.224 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))))) into 0 1544005337.224 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.224 * [misc]backup-simplify: Simplify 0 into 0 1544005337.224 * [misc]backup-simplify: Simplify 0 into 0 1544005337.225 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1544005337.225 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.227 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6))) 1544005337.227 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.228 * [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 1544005337.230 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544005337.248 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0 1544005337.248 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.248 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.248 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.248 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.248 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.248 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0 1544005337.249 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.250 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.250 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1544005337.258 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005337.260 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544005337.261 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))))) into 0 1544005337.262 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) 1544005337.262 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) in k 1544005337.262 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k 1544005337.262 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005337.262 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005337.263 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k 1544005337.263 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005337.263 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005337.263 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005337.263 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005337.263 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005337.263 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005337.263 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005337.263 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005337.263 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.263 * [misc]backup-simplify: Simplify 2 into 2 1544005337.263 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.263 * [misc]backup-simplify: Simplify PI into PI 1544005337.263 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.263 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.263 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.263 * [misc]taylor: Taking taylor expansion of n in k 1544005337.263 * [misc]backup-simplify: Simplify n into n 1544005337.263 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.263 * [misc]taylor: Taking taylor expansion of k in k 1544005337.263 * [misc]backup-simplify: Simplify 0 into 0 1544005337.263 * [misc]backup-simplify: Simplify 1 into 1 1544005337.263 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.264 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005337.264 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005337.264 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005337.265 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.265 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1544005337.265 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544005337.265 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.265 * [misc]backup-simplify: Simplify 2 into 2 1544005337.265 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544005337.265 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544005337.265 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1544005337.265 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1544005337.265 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.265 * [misc]backup-simplify: Simplify PI into PI 1544005337.265 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1544005337.265 * [misc]taylor: Taking taylor expansion of k in k 1544005337.265 * [misc]backup-simplify: Simplify 0 into 0 1544005337.265 * [misc]backup-simplify: Simplify 1 into 1 1544005337.265 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544005337.266 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1544005337.266 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544005337.266 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544005337.266 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1544005337.267 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1544005337.268 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1544005337.268 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) 1544005337.269 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1544005337.270 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) 1544005337.272 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1544005337.273 * [misc]backup-simplify: Simplify (* (sqrt (* (* PI 2) (/ 1 (- n)))) (/ (/ (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k)))))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) 1544005337.273 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (n k) around 0 1544005337.273 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1544005337.273 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1544005337.273 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1544005337.273 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544005337.273 * [misc]taylor: Taking taylor expansion of -2 in k 1544005337.273 * [misc]backup-simplify: Simplify -2 into -2 1544005337.273 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005337.273 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.273 * [misc]backup-simplify: Simplify PI into PI 1544005337.273 * [misc]taylor: Taking taylor expansion of n in k 1544005337.273 * [misc]backup-simplify: Simplify n into n 1544005337.273 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005337.273 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544005337.273 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1544005337.273 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1544005337.274 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1544005337.274 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1544005337.274 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1544005337.274 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1544005337.274 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1544005337.274 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005337.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005337.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.274 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005337.274 * [misc]taylor: Taking taylor expansion of k in k 1544005337.274 * [misc]backup-simplify: Simplify 0 into 0 1544005337.274 * [misc]backup-simplify: Simplify 1 into 1 1544005337.274 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005337.274 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544005337.274 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544005337.274 * [misc]taylor: Taking taylor expansion of -2 in k 1544005337.274 * [misc]backup-simplify: Simplify -2 into -2 1544005337.274 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005337.274 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.274 * [misc]backup-simplify: Simplify PI into PI 1544005337.274 * [misc]taylor: Taking taylor expansion of n in k 1544005337.274 * [misc]backup-simplify: Simplify n into n 1544005337.274 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005337.274 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544005337.274 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544005337.274 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005337.274 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544005337.274 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1544005337.274 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005337.274 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005337.275 * [misc]taylor: Taking taylor expansion of -1 in k 1544005337.275 * [misc]backup-simplify: Simplify -1 into -1 1544005337.275 * [misc]taylor: Taking taylor expansion of k in k 1544005337.275 * [misc]backup-simplify: Simplify 0 into 0 1544005337.275 * [misc]backup-simplify: Simplify 1 into 1 1544005337.275 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005337.275 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.275 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005337.275 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1544005337.275 * [misc]backup-simplify: Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1544005337.275 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1544005337.275 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1544005337.275 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1544005337.275 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005337.275 * [misc]taylor: Taking taylor expansion of -2 in n 1544005337.275 * [misc]backup-simplify: Simplify -2 into -2 1544005337.275 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.275 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.275 * [misc]backup-simplify: Simplify PI into PI 1544005337.276 * [misc]taylor: Taking taylor expansion of n in n 1544005337.276 * [misc]backup-simplify: Simplify 0 into 0 1544005337.276 * [misc]backup-simplify: Simplify 1 into 1 1544005337.276 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.276 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005337.276 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.276 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1544005337.276 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544005337.276 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544005337.276 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544005337.276 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005337.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.277 * [misc]taylor: Taking taylor expansion of k in n 1544005337.277 * [misc]backup-simplify: Simplify k into k 1544005337.277 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.277 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005337.277 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005337.277 * [misc]taylor: Taking taylor expansion of -2 in n 1544005337.277 * [misc]backup-simplify: Simplify -2 into -2 1544005337.277 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.277 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.277 * [misc]backup-simplify: Simplify PI into PI 1544005337.277 * [misc]taylor: Taking taylor expansion of n in n 1544005337.277 * [misc]backup-simplify: Simplify 0 into 0 1544005337.277 * [misc]backup-simplify: Simplify 1 into 1 1544005337.277 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.277 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005337.277 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005337.277 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005337.278 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005337.278 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544005337.279 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005337.279 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005337.279 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005337.279 * [misc]taylor: Taking taylor expansion of -1 in n 1544005337.279 * [misc]backup-simplify: Simplify -1 into -1 1544005337.279 * [misc]taylor: Taking taylor expansion of k in n 1544005337.279 * [misc]backup-simplify: Simplify k into k 1544005337.279 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005337.279 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005337.279 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005337.279 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005337.279 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1544005337.280 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005337.280 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005337.282 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544005337.282 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005337.282 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005337.283 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005337.283 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544005337.284 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005337.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005337.285 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1544005337.285 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1544005337.285 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1544005337.285 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1544005337.285 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005337.285 * [misc]taylor: Taking taylor expansion of -2 in n 1544005337.285 * [misc]backup-simplify: Simplify -2 into -2 1544005337.285 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.285 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.285 * [misc]backup-simplify: Simplify PI into PI 1544005337.285 * [misc]taylor: Taking taylor expansion of n in n 1544005337.285 * [misc]backup-simplify: Simplify 0 into 0 1544005337.285 * [misc]backup-simplify: Simplify 1 into 1 1544005337.285 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.286 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005337.286 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.286 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1544005337.286 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544005337.286 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544005337.286 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544005337.286 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005337.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.286 * [misc]taylor: Taking taylor expansion of k in n 1544005337.286 * [misc]backup-simplify: Simplify k into k 1544005337.286 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.286 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005337.286 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005337.286 * [misc]taylor: Taking taylor expansion of -2 in n 1544005337.286 * [misc]backup-simplify: Simplify -2 into -2 1544005337.286 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.286 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.286 * [misc]backup-simplify: Simplify PI into PI 1544005337.286 * [misc]taylor: Taking taylor expansion of n in n 1544005337.287 * [misc]backup-simplify: Simplify 0 into 0 1544005337.287 * [misc]backup-simplify: Simplify 1 into 1 1544005337.287 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.287 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005337.287 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005337.287 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005337.288 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005337.288 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544005337.288 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005337.288 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005337.288 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005337.288 * [misc]taylor: Taking taylor expansion of -1 in n 1544005337.288 * [misc]backup-simplify: Simplify -1 into -1 1544005337.288 * [misc]taylor: Taking taylor expansion of k in n 1544005337.288 * [misc]backup-simplify: Simplify k into k 1544005337.288 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005337.289 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005337.289 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005337.289 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005337.289 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1544005337.290 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005337.290 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005337.292 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544005337.292 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005337.292 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005337.292 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005337.293 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544005337.294 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005337.294 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005337.295 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) 1544005337.295 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1544005337.295 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005337.295 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005337.295 * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1544005337.295 * [misc]taylor: Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1544005337.295 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.295 * [misc]backup-simplify: Simplify PI into PI 1544005337.295 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544005337.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544005337.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005337.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.295 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544005337.295 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544005337.295 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544005337.295 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544005337.295 * [misc]taylor: Taking taylor expansion of -2 in k 1544005337.295 * [misc]backup-simplify: Simplify -2 into -2 1544005337.295 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.295 * [misc]backup-simplify: Simplify PI into PI 1544005337.295 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005337.296 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005337.296 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.296 * [misc]taylor: Taking taylor expansion of n in k 1544005337.296 * [misc]backup-simplify: Simplify n into n 1544005337.296 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.296 * [misc]taylor: Taking taylor expansion of k in k 1544005337.296 * [misc]backup-simplify: Simplify 0 into 0 1544005337.296 * [misc]backup-simplify: Simplify 1 into 1 1544005337.296 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.296 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544005337.296 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544005337.297 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544005337.297 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005337.297 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005337.297 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005337.297 * [misc]taylor: Taking taylor expansion of -1 in k 1544005337.297 * [misc]backup-simplify: Simplify -1 into -1 1544005337.297 * [misc]taylor: Taking taylor expansion of k in k 1544005337.297 * [misc]backup-simplify: Simplify 0 into 0 1544005337.297 * [misc]backup-simplify: Simplify 1 into 1 1544005337.297 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005337.297 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.298 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005337.298 * [misc]backup-simplify: Simplify (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544005337.298 * [misc]backup-simplify: Simplify (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005337.299 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005337.299 * [misc]backup-simplify: Simplify (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005337.300 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.301 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005337.304 * [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 1544005337.305 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.305 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005337.305 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005337.306 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544005337.307 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005337.308 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005337.308 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005337.309 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544005337.310 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005337.312 * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) 1544005337.312 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1544005337.312 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544005337.312 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.312 * [misc]backup-simplify: Simplify PI into PI 1544005337.312 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005337.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.312 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of -2 in k 1544005337.312 * [misc]backup-simplify: Simplify -2 into -2 1544005337.312 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.312 * [misc]backup-simplify: Simplify PI into PI 1544005337.312 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005337.312 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005337.312 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.312 * [misc]taylor: Taking taylor expansion of n in k 1544005337.313 * [misc]backup-simplify: Simplify n into n 1544005337.313 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.313 * [misc]taylor: Taking taylor expansion of k in k 1544005337.313 * [misc]backup-simplify: Simplify 0 into 0 1544005337.313 * [misc]backup-simplify: Simplify 1 into 1 1544005337.313 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.313 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544005337.313 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544005337.314 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544005337.314 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005337.314 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005337.314 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005337.314 * [misc]taylor: Taking taylor expansion of -1 in k 1544005337.314 * [misc]backup-simplify: Simplify -1 into -1 1544005337.314 * [misc]taylor: Taking taylor expansion of k in k 1544005337.314 * [misc]backup-simplify: Simplify 0 into 0 1544005337.314 * [misc]backup-simplify: Simplify 1 into 1 1544005337.314 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005337.314 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.315 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005337.315 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1544005337.315 * [misc]backup-simplify: Simplify (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544005337.316 * [misc]backup-simplify: Simplify (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005337.316 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005337.317 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005337.318 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005337.318 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0 1544005337.318 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544005337.319 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005337.320 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005337.320 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005337.321 * [misc]backup-simplify: Simplify (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1544005337.322 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1544005337.323 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1544005337.323 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) into (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) 1544005337.323 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1544005337.323 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in k 1544005337.323 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1544005337.323 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544005337.323 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544005337.323 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544005337.323 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544005337.323 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005337.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.323 * [misc]taylor: Taking taylor expansion of k in k 1544005337.323 * [misc]backup-simplify: Simplify 0 into 0 1544005337.323 * [misc]backup-simplify: Simplify 1 into 1 1544005337.323 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544005337.323 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544005337.323 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.323 * [misc]backup-simplify: Simplify 2 into 2 1544005337.323 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544005337.323 * [misc]taylor: Taking taylor expansion of n in k 1544005337.323 * [misc]backup-simplify: Simplify n into n 1544005337.323 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.323 * [misc]backup-simplify: Simplify PI into PI 1544005337.323 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544005337.323 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544005337.323 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544005337.324 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544005337.324 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.324 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1544005337.324 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.324 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544005337.325 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544005337.326 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544005337.326 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544005337.326 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005337.326 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544005337.326 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005337.326 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544005337.326 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005337.326 * [misc]taylor: Taking taylor expansion of k in k 1544005337.326 * [misc]backup-simplify: Simplify 0 into 0 1544005337.326 * [misc]backup-simplify: Simplify 1 into 1 1544005337.327 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005337.327 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.327 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005337.327 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in n 1544005337.327 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544005337.327 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005337.327 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005337.327 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544005337.327 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005337.327 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.327 * [misc]taylor: Taking taylor expansion of k in n 1544005337.328 * [misc]backup-simplify: Simplify k into k 1544005337.328 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005337.328 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005337.328 * [misc]taylor: Taking taylor expansion of 2 in n 1544005337.328 * [misc]backup-simplify: Simplify 2 into 2 1544005337.328 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005337.328 * [misc]taylor: Taking taylor expansion of n in n 1544005337.328 * [misc]backup-simplify: Simplify 0 into 0 1544005337.328 * [misc]backup-simplify: Simplify 1 into 1 1544005337.328 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.328 * [misc]backup-simplify: Simplify PI into PI 1544005337.328 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005337.328 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005337.329 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005337.330 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005337.330 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.330 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005337.330 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005337.331 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005337.331 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544005337.332 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544005337.332 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544005337.332 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.332 * [misc]taylor: Taking taylor expansion of k in n 1544005337.332 * [misc]backup-simplify: Simplify k into k 1544005337.332 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.332 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544005337.332 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005337.333 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544005337.333 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- (* 1/2 k))) (sqrt (/ 1 k))) in n 1544005337.333 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1544005337.333 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544005337.333 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544005337.333 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544005337.333 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544005337.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.333 * [misc]taylor: Taking taylor expansion of k in n 1544005337.333 * [misc]backup-simplify: Simplify k into k 1544005337.333 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544005337.333 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544005337.333 * [misc]taylor: Taking taylor expansion of 2 in n 1544005337.333 * [misc]backup-simplify: Simplify 2 into 2 1544005337.333 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544005337.333 * [misc]taylor: Taking taylor expansion of n in n 1544005337.333 * [misc]backup-simplify: Simplify 0 into 0 1544005337.333 * [misc]backup-simplify: Simplify 1 into 1 1544005337.333 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.333 * [misc]backup-simplify: Simplify PI into PI 1544005337.333 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544005337.333 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544005337.334 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544005337.335 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544005337.335 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.335 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544005337.335 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005337.336 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005337.336 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1544005337.337 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1544005337.337 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544005337.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.337 * [misc]taylor: Taking taylor expansion of k in n 1544005337.337 * [misc]backup-simplify: Simplify k into k 1544005337.337 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.337 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544005337.337 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005337.337 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544005337.338 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 1544005337.338 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1544005337.338 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544005337.338 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005337.338 * [misc]taylor: Taking taylor expansion of k in k 1544005337.338 * [misc]backup-simplify: Simplify 0 into 0 1544005337.338 * [misc]backup-simplify: Simplify 1 into 1 1544005337.339 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005337.339 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.339 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005337.339 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1544005337.339 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1544005337.339 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005337.339 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005337.339 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1544005337.339 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544005337.339 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.339 * [misc]taylor: Taking taylor expansion of n in k 1544005337.339 * [misc]backup-simplify: Simplify n into n 1544005337.339 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.339 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005337.339 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005337.339 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.340 * [misc]backup-simplify: Simplify 2 into 2 1544005337.340 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.340 * [misc]backup-simplify: Simplify PI into PI 1544005337.340 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.340 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.340 * [misc]taylor: Taking taylor expansion of k in k 1544005337.340 * [misc]backup-simplify: Simplify 0 into 0 1544005337.340 * [misc]backup-simplify: Simplify 1 into 1 1544005337.341 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005337.341 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1544005337.342 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544005337.342 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544005337.343 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005337.346 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005337.346 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005337.346 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1544005337.347 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005337.347 * [misc]backup-simplify: Simplify (exp 0) into 1 1544005337.347 * [misc]backup-simplify: Simplify (* 0 1) into 0 1544005337.347 * [misc]backup-simplify: Simplify 0 into 0 1544005337.347 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005337.349 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544005337.350 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544005337.352 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005337.352 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544005337.353 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.353 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005337.354 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544005337.355 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005337.356 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1544005337.356 * [misc]taylor: Taking taylor expansion of 0 in k 1544005337.356 * [misc]backup-simplify: Simplify 0 into 0 1544005337.357 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544005337.358 * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1)) into (- +nan.0) 1544005337.358 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544005337.359 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.359 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544005337.359 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005337.361 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005337.363 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544005337.368 * [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 1544005337.368 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.368 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544005337.368 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.369 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005337.370 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544005337.372 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005337.373 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1544005337.373 * [misc]taylor: Taking taylor expansion of 0 in k 1544005337.373 * [misc]backup-simplify: Simplify 0 into 0 1544005337.373 * [misc]backup-simplify: Simplify 0 into 0 1544005337.375 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544005337.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005337.381 * [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 1544005337.381 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005337.382 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1544005337.382 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1544005337.384 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1544005337.385 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544005337.386 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005337.389 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) 1544005337.390 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (log (* 2 PI))) (- (+ +nan.0 (- (* +nan.0 (log n))))))) into (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) 1544005337.390 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.390 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544005337.390 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544005337.392 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544005337.394 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544005337.403 * [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 1544005337.403 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.403 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.403 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544005337.404 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.404 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544005337.405 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544005337.409 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544005337.410 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1544005337.410 * [misc]taylor: Taking taylor expansion of 0 in k 1544005337.410 * [misc]backup-simplify: Simplify 0 into 0 1544005337.410 * [misc]backup-simplify: Simplify 0 into 0 1544005337.410 * [misc]backup-simplify: Simplify 0 into 0 1544005337.412 * [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 1544005337.414 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005337.422 * [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 1544005337.422 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544005337.423 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544005337.424 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0)))) into 0 1544005337.427 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (+ (* 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)))))) 1544005337.428 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.429 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544005337.435 * [misc]backup-simplify: Simplify (+ (* 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))))))) (+ (* +nan.0 (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (+ (* +nan.0 (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* +nan.0 1)))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ +nan.0 (- (* +nan.0 (log n))))))))))))) 1544005337.438 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (pow (log (* 2 PI)) 2)) (- (+ +nan.0 (- (* +nan.0 (log n))))))))))))) into (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) 1544005337.444 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (log n) 2)) (- (+ (* +nan.0 (* (log n) (log (* 2 PI)))) (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- (* +nan.0 (pow (log (* 2 PI)) 2))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (log (* 2 PI))) (- (+ (* +nan.0 (log n)) (- +nan.0))))) (* k 1)) (- +nan.0))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))))))))))))))))) 1544005337.444 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) 1544005337.444 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1544005337.444 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in k 1544005337.444 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1544005337.444 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544005337.444 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544005337.444 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544005337.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005337.445 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005337.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.445 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005337.445 * [misc]taylor: Taking taylor expansion of k in k 1544005337.445 * [misc]backup-simplify: Simplify 0 into 0 1544005337.445 * [misc]backup-simplify: Simplify 1 into 1 1544005337.445 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005337.445 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544005337.445 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544005337.445 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.445 * [misc]backup-simplify: Simplify 2 into 2 1544005337.445 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005337.445 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.445 * [misc]backup-simplify: Simplify PI into PI 1544005337.445 * [misc]taylor: Taking taylor expansion of n in k 1544005337.445 * [misc]backup-simplify: Simplify n into n 1544005337.445 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005337.445 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544005337.445 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544005337.445 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005337.446 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544005337.446 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544005337.446 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1544005337.446 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544005337.446 * [misc]taylor: Taking taylor expansion of k in k 1544005337.446 * [misc]backup-simplify: Simplify 0 into 0 1544005337.446 * [misc]backup-simplify: Simplify 1 into 1 1544005337.446 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.447 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005337.447 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.447 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of k in n 1544005337.447 * [misc]backup-simplify: Simplify k into k 1544005337.447 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.447 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of 2 in n 1544005337.447 * [misc]backup-simplify: Simplify 2 into 2 1544005337.447 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.447 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.447 * [misc]backup-simplify: Simplify PI into PI 1544005337.447 * [misc]taylor: Taking taylor expansion of n in n 1544005337.447 * [misc]backup-simplify: Simplify 0 into 0 1544005337.447 * [misc]backup-simplify: Simplify 1 into 1 1544005337.448 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.448 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.448 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.449 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005337.449 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.449 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.450 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544005337.450 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.450 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544005337.450 * [misc]taylor: Taking taylor expansion of k in n 1544005337.451 * [misc]backup-simplify: Simplify k into k 1544005337.451 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544005337.451 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544005337.451 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.451 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of k in n 1544005337.451 * [misc]backup-simplify: Simplify k into k 1544005337.451 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.451 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of 2 in n 1544005337.451 * [misc]backup-simplify: Simplify 2 into 2 1544005337.451 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.451 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.451 * [misc]backup-simplify: Simplify PI into PI 1544005337.451 * [misc]taylor: Taking taylor expansion of n in n 1544005337.451 * [misc]backup-simplify: Simplify 0 into 0 1544005337.451 * [misc]backup-simplify: Simplify 1 into 1 1544005337.452 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.453 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.453 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.453 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005337.453 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.454 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.455 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1544005337.455 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.455 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544005337.455 * [misc]taylor: Taking taylor expansion of k in n 1544005337.455 * [misc]backup-simplify: Simplify k into k 1544005337.455 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544005337.455 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544005337.456 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) 1544005337.456 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt k)) in k 1544005337.456 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1544005337.456 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1544005337.456 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544005337.456 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544005337.456 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1544005337.456 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544005337.456 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544005337.456 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544005337.456 * [misc]taylor: Taking taylor expansion of 2 in k 1544005337.456 * [misc]backup-simplify: Simplify 2 into 2 1544005337.456 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.456 * [misc]backup-simplify: Simplify PI into PI 1544005337.456 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544005337.457 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544005337.457 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.457 * [misc]taylor: Taking taylor expansion of n in k 1544005337.457 * [misc]backup-simplify: Simplify n into n 1544005337.457 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.457 * [misc]taylor: Taking taylor expansion of k in k 1544005337.457 * [misc]backup-simplify: Simplify 0 into 0 1544005337.457 * [misc]backup-simplify: Simplify 1 into 1 1544005337.457 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.457 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544005337.457 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1544005337.458 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544005337.458 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1544005337.458 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544005337.458 * [misc]taylor: Taking taylor expansion of k in k 1544005337.458 * [misc]backup-simplify: Simplify 0 into 0 1544005337.458 * [misc]backup-simplify: Simplify 1 into 1 1544005337.458 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.459 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544005337.459 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1544005337.459 * [misc]backup-simplify: Simplify 0 into 0 1544005337.459 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.460 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005337.460 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544005337.462 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544005337.462 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005337.462 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005337.462 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.462 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.463 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544005337.464 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005337.464 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (sqrt k))) into 0 1544005337.464 * [misc]taylor: Taking taylor expansion of 0 in k 1544005337.464 * [misc]backup-simplify: Simplify 0 into 0 1544005337.464 * [misc]backup-simplify: Simplify 0 into 0 1544005337.465 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005337.465 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005337.466 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544005337.466 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.466 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.467 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005337.470 * [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 1544005337.470 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.470 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005337.471 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.471 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.471 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544005337.473 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005337.473 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1544005337.473 * [misc]taylor: Taking taylor expansion of 0 in k 1544005337.473 * [misc]backup-simplify: Simplify 0 into 0 1544005337.473 * [misc]backup-simplify: Simplify 0 into 0 1544005337.473 * [misc]backup-simplify: Simplify 0 into 0 1544005337.474 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005337.475 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005337.475 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005337.475 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544005337.475 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544005337.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.477 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544005337.482 * [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 1544005337.482 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.482 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.483 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.483 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544005337.483 * [misc]backup-simplify: Simplify (- 0) into 0 1544005337.483 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544005337.484 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544005337.486 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544005337.487 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1544005337.487 * [misc]taylor: Taking taylor expansion of 0 in k 1544005337.487 * [misc]backup-simplify: Simplify 0 into 0 1544005337.487 * [misc]backup-simplify: Simplify 0 into 0 1544005337.487 * [misc]backup-simplify: Simplify 0 into 0 1544005337.487 * [misc]backup-simplify: Simplify 0 into 0 1544005337.488 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544005337.489 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005337.489 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1544005337.492 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)) (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))) 1544005337.492 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) 1544005337.492 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in (n k) around 0 1544005337.492 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in k 1544005337.492 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1544005337.493 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1544005337.493 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1544005337.493 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544005337.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005337.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.493 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544005337.493 * [misc]taylor: Taking taylor expansion of k in k 1544005337.493 * [misc]backup-simplify: Simplify 0 into 0 1544005337.493 * [misc]backup-simplify: Simplify 1 into 1 1544005337.493 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544005337.493 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544005337.493 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544005337.493 * [misc]taylor: Taking taylor expansion of -2 in k 1544005337.493 * [misc]backup-simplify: Simplify -2 into -2 1544005337.493 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544005337.493 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.493 * [misc]backup-simplify: Simplify PI into PI 1544005337.493 * [misc]taylor: Taking taylor expansion of n in k 1544005337.493 * [misc]backup-simplify: Simplify n into n 1544005337.493 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544005337.493 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544005337.493 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544005337.494 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544005337.494 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544005337.494 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1544005337.494 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005337.494 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005337.494 * [misc]taylor: Taking taylor expansion of -1 in k 1544005337.494 * [misc]backup-simplify: Simplify -1 into -1 1544005337.494 * [misc]taylor: Taking taylor expansion of k in k 1544005337.494 * [misc]backup-simplify: Simplify 0 into 0 1544005337.494 * [misc]backup-simplify: Simplify 1 into 1 1544005337.494 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005337.494 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.495 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005337.495 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) into (* +nan.0 (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1544005337.495 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in n 1544005337.495 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544005337.495 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544005337.495 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544005337.495 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005337.495 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.495 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.495 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.496 * [misc]taylor: Taking taylor expansion of k in n 1544005337.496 * [misc]backup-simplify: Simplify k into k 1544005337.496 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.496 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005337.496 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005337.496 * [misc]taylor: Taking taylor expansion of -2 in n 1544005337.496 * [misc]backup-simplify: Simplify -2 into -2 1544005337.496 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.496 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.496 * [misc]backup-simplify: Simplify PI into PI 1544005337.496 * [misc]taylor: Taking taylor expansion of n in n 1544005337.496 * [misc]backup-simplify: Simplify 0 into 0 1544005337.496 * [misc]backup-simplify: Simplify 1 into 1 1544005337.496 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.496 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005337.497 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005337.497 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005337.498 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005337.498 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544005337.499 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005337.499 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005337.499 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005337.499 * [misc]taylor: Taking taylor expansion of -1 in n 1544005337.499 * [misc]backup-simplify: Simplify -1 into -1 1544005337.499 * [misc]taylor: Taking taylor expansion of k in n 1544005337.499 * [misc]backup-simplify: Simplify k into k 1544005337.499 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005337.499 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005337.499 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005337.499 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005337.500 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) 1544005337.500 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ -1 k))) in n 1544005337.500 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1544005337.500 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1544005337.500 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1544005337.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544005337.500 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544005337.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544005337.500 * [misc]taylor: Taking taylor expansion of k in n 1544005337.500 * [misc]backup-simplify: Simplify k into k 1544005337.500 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544005337.500 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544005337.500 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544005337.500 * [misc]taylor: Taking taylor expansion of -2 in n 1544005337.500 * [misc]backup-simplify: Simplify -2 into -2 1544005337.500 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544005337.500 * [misc]taylor: Taking taylor expansion of PI in n 1544005337.500 * [misc]backup-simplify: Simplify PI into PI 1544005337.500 * [misc]taylor: Taking taylor expansion of n in n 1544005337.500 * [misc]backup-simplify: Simplify 0 into 0 1544005337.500 * [misc]backup-simplify: Simplify 1 into 1 1544005337.501 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544005337.501 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005337.501 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005337.502 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544005337.502 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005337.503 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1544005337.503 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005337.503 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544005337.503 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544005337.503 * [misc]taylor: Taking taylor expansion of -1 in n 1544005337.503 * [misc]backup-simplify: Simplify -1 into -1 1544005337.503 * [misc]taylor: Taking taylor expansion of k in n 1544005337.504 * [misc]backup-simplify: Simplify k into k 1544005337.504 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544005337.504 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544005337.504 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544005337.504 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544005337.505 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) 1544005337.505 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1544005337.505 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1544005337.505 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1544005337.505 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544005337.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544005337.505 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1544005337.505 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544005337.505 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544005337.505 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544005337.505 * [misc]taylor: Taking taylor expansion of -2 in k 1544005337.505 * [misc]backup-simplify: Simplify -2 into -2 1544005337.505 * [misc]taylor: Taking taylor expansion of PI in k 1544005337.505 * [misc]backup-simplify: Simplify PI into PI 1544005337.505 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544005337.506 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544005337.506 * [misc]taylor: Taking taylor expansion of (log n) in k 1544005337.506 * [misc]taylor: Taking taylor expansion of n in k 1544005337.506 * [misc]backup-simplify: Simplify n into n 1544005337.506 * [misc]backup-simplify: Simplify (log n) into (log n) 1544005337.506 * [misc]taylor: Taking taylor expansion of k in k 1544005337.506 * [misc]backup-simplify: Simplify 0 into 0 1544005337.506 * [misc]backup-simplify: Simplify 1 into 1 1544005337.506 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544005337.507 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544005337.507 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1544005337.508 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544005337.508 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1544005337.508 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544005337.508 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544005337.508 * [misc]taylor: Taking taylor expansion of -1 in k 1544005337.508 * [misc]backup-simplify: Simplify -1 into -1 1544005337.508 * [misc]taylor: Taking taylor expansion of k in k 1544005337.508 * [misc]backup-simplify: Simplify 0 into 0 1544005337.508 * [misc]backup-simplify: Simplify 1 into 1 1544005337.509 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544005337.509 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544005337.509 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544005337.510 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) into (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544005337.510 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1544005337.512 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544005337.512 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544005337.515 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544005337.515 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544005337.515 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544005337.516 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005337.517 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544005337.518 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544005337.519 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1544005337.519 * [misc]taylor: Taking taylor expansion of 0 in k 1544005337.519 * [misc]backup-simplify: Simplify 0 into 0 1544005337.519 * [misc]backup-simplify: Simplify 0 into 0 1544005337.520 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544005337.521 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544005337.522 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005337.522 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005337.523 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.524 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544005337.527 * [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 1544005337.527 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.527 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544005337.528 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544005337.528 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544005337.530 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544005337.530 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544005337.530 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544005337.531 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1544005337.531 * [misc]taylor: Taking taylor expansion of 0 in k 1544005337.531 * [misc]backup-simplify: Simplify 0 into 0 1544005337.531 * [misc]backup-simplify: Simplify 0 into 0 1544005337.531 * [misc]backup-simplify: Simplify 0 into 0 1544005337.531 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544005337.532 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544005337.533 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005337.534 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1544005337.535 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (- (+ (* +nan.0 (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))))))) 1544005337.535 * * * [misc]progress: simplifying candidates 1544005337.535 * * * * [misc]progress: [ 1 / 451 ] simplifiying candidate # 1544005337.535 * * * * [misc]progress: [ 2 / 451 ] simplifiying candidate # 1544005337.535 * * * * [misc]progress: [ 3 / 451 ] simplifiying candidate # 1544005337.535 * * * * [misc]progress: [ 4 / 451 ] simplifiying candidate # 1544005337.535 * * * * [misc]progress: [ 5 / 451 ] simplifiying candidate # 1544005337.535 * * * * [misc]progress: [ 6 / 451 ] simplifiying candidate # 1544005337.535 * * * * [misc]progress: [ 7 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 8 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 9 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 10 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 11 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 12 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 13 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 14 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 15 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 16 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 17 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 18 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 19 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 20 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 21 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 22 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 23 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 24 / 451 ] simplifiying candidate # 1544005337.536 * * * * [misc]progress: [ 25 / 451 ] simplifiying candidate # 1544005337.536 * [enter]simplify: Simplifying (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544005337.536 * * [misc]simplify: iters left: 6 (17 enodes) 1544005337.539 * * [misc]simplify: iters left: 5 (31 enodes) 1544005337.544 * * [misc]simplify: iters left: 4 (44 enodes) 1544005337.549 * * [misc]simplify: iters left: 3 (52 enodes) 1544005337.555 * * [misc]simplify: iters left: 2 (59 enodes) 1544005337.570 * * [misc]simplify: iters left: 1 (68 enodes) 1544005337.586 * [exit]simplify: Simplified to (* (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k)) (sqrt (* (* PI 2) n))) 1544005337.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (* (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k)) (sqrt (* (* PI 2) n))) 1)) 1544005337.586 * * * * [misc]progress: [ 26 / 451 ] simplifiying candidate # 1544005337.586 * * * * [misc]progress: [ 27 / 451 ] simplifiying candidate # 1544005337.586 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))) 1544005337.586 * * [misc]simplify: iters left: 6 (20 enodes) 1544005337.589 * * [misc]simplify: iters left: 5 (44 enodes) 1544005337.598 * * [misc]simplify: iters left: 4 (95 enodes) 1544005337.639 * * [misc]simplify: iters left: 3 (245 enodes) 1544005337.762 * [exit]simplify: Simplified to (- (- (log (sqrt (* (* PI 2) n))) (log (sqrt (sqrt k)))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt (sqrt k))))) 1544005337.762 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt (* (* PI 2) n))) (log (sqrt (sqrt k)))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt (sqrt k))))))) 1544005337.762 * * * * [misc]progress: [ 28 / 451 ] simplifiying candidate # 1544005337.762 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))) 1544005337.762 * * [misc]simplify: iters left: 6 (20 enodes) 1544005337.765 * * [misc]simplify: iters left: 5 (44 enodes) 1544005337.773 * * [misc]simplify: iters left: 4 (95 enodes) 1544005337.807 * * [misc]simplify: iters left: 3 (245 enodes) 1544005337.901 * [exit]simplify: Simplified to (- (- (log (sqrt (* (* PI 2) n))) (log (sqrt (sqrt k)))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt (sqrt k))))) 1544005337.901 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt (* (* PI 2) n))) (log (sqrt (sqrt k)))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt (sqrt k))))))) 1544005337.901 * * * * [misc]progress: [ 29 / 451 ] simplifiying candidate # 1544005337.901 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))) 1544005337.902 * * [misc]simplify: iters left: 6 (20 enodes) 1544005337.906 * * [misc]simplify: iters left: 5 (39 enodes) 1544005337.919 * * [misc]simplify: iters left: 4 (82 enodes) 1544005337.941 * * [misc]simplify: iters left: 3 (211 enodes) 1544005338.136 * [exit]simplify: Simplified to (- (- (log (sqrt (* 2 (* n PI)))) (log (sqrt (sqrt k)))) (fma (log (* 2 (* n PI))) (/ k 2) (log (sqrt (sqrt k))))) 1544005338.136 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt (* 2 (* n PI)))) (log (sqrt (sqrt k)))) (fma (log (* 2 (* n PI))) (/ k 2) (log (sqrt (sqrt k))))))) 1544005338.136 * * * * [misc]progress: [ 30 / 451 ] simplifiying candidate # 1544005338.136 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (- (log (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (log (sqrt (sqrt k))))) 1544005338.137 * * [misc]simplify: iters left: 6 (20 enodes) 1544005338.141 * * [misc]simplify: iters left: 5 (36 enodes) 1544005338.146 * * [misc]simplify: iters left: 4 (56 enodes) 1544005338.155 * * [misc]simplify: iters left: 3 (106 enodes) 1544005338.180 * * [misc]simplify: iters left: 2 (316 enodes) 1544005338.662 * [exit]simplify: Simplified to (- (log (sqrt (* (* n PI) 2))) (fma (/ k 2) (log (* (* n PI) 2)) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))) 1544005338.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* n PI) 2))) (fma (/ k 2) (log (* (* n PI) 2)) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544005338.662 * * * * [misc]progress: [ 31 / 451 ] simplifiying candidate # 1544005338.662 * [enter]simplify: Simplifying (+ (log (sqrt (* (* PI 2) n))) (log (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005338.662 * * [misc]simplify: iters left: 6 (19 enodes) 1544005338.665 * * [misc]simplify: iters left: 5 (34 enodes) 1544005338.670 * * [misc]simplify: iters left: 4 (46 enodes) 1544005338.677 * * [misc]simplify: iters left: 3 (69 enodes) 1544005338.698 * * [misc]simplify: iters left: 2 (137 enodes) 1544005338.755 * * [misc]simplify: iters left: 1 (408 enodes) 1544005339.070 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k)))) 1544005339.070 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* PI 2) n))) (fma (log (* (* PI 2) n)) (/ k 2) (log (sqrt k)))))) 1544005339.070 * * * * [misc]progress: [ 32 / 451 ] simplifiying candidate # 1544005339.070 * * * * [misc]progress: [ 33 / 451 ] simplifiying candidate # 1544005339.070 * * * * [misc]progress: [ 34 / 451 ] simplifiying candidate # 1544005339.071 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005339.071 * * [misc]simplify: iters left: 6 (23 enodes) 1544005339.077 * * [misc]simplify: iters left: 5 (52 enodes) 1544005339.088 * * [misc]simplify: iters left: 4 (195 enodes) 1544005339.233 * [exit]simplify: Simplified to (* (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k))) (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (* (* PI (* n 2)) (sqrt (* PI (* n 2)))))) 1544005339.233 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k))) (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (* (* PI (* n 2)) (sqrt (* PI (* n 2)))))))) 1544005339.233 * * * * [misc]progress: [ 35 / 451 ] simplifiying candidate # 1544005339.233 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (/ (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005339.233 * * [misc]simplify: iters left: 6 (23 enodes) 1544005339.237 * * [misc]simplify: iters left: 5 (54 enodes) 1544005339.250 * * [misc]simplify: iters left: 4 (196 enodes) 1544005339.435 * [exit]simplify: Simplified to (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k))) (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)))) 1544005339.435 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (* PI (* n 2)) (sqrt (* PI (* n 2)))) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k))) (* (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)) (/ (pow (* PI (* n 2)) (/ (- k) 2)) (sqrt k)))))) 1544005339.435 * * * * [misc]progress: [ 36 / 451 ] simplifiying candidate # 1544005339.435 * [enter]simplify: Simplifying (* (* (* (sqrt (* (* PI 2) n)) (sqrt (* (* PI 2) n))) (sqrt (* (* PI 2) n))) (* (* (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005339.435 * * [misc]simplify: iters left: 6 (21 enodes) 1544005339.443 * * [misc]simplify: iters left: 5 (46 enodes) 1544005339.462 * * [misc]simplify: iters left: 4 (150 enodes) 1544005339.590 * [exit]simplify: Simplified to (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (* (* PI (* n 2)) (sqrt (* PI (* n 2))))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544005339.590 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (* (* PI (* n 2)) (sqrt (* PI (* n 2))))) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))) 1544005339.590 * * * * [misc]progress: [ 37 / 451 ] simplifiying candidate # 1544005339.590 * * * * [misc]progress: [ 38 / 451 ] simplifiying candidate # 1544005339.590 * * * * [misc]progress: [ 39 / 451 ] simplifiying candidate # 1544005339.590 * * * * [misc]progress: [ 40 / 451 ] simplifiying candidate # 1544005339.590 * * * * [misc]progress: [ 41 / 451 ] simplifiying candidate # 1544005339.591 * [enter]simplify: Simplifying (cbrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544005339.591 * * [misc]simplify: iters left: 6 (14 enodes) 1544005339.595 * * [misc]simplify: iters left: 5 (22 enodes) 1544005339.601 * * [misc]simplify: iters left: 4 (28 enodes) 1544005339.609 * * [misc]simplify: iters left: 3 (30 enodes) 1544005339.614 * [exit]simplify: Simplified to (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1544005339.614 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (* (cbrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005339.614 * * * * [misc]progress: [ 42 / 451 ] simplifiying candidate # 1544005339.614 * [enter]simplify: Simplifying (sqrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544005339.614 * * [misc]simplify: iters left: 6 (14 enodes) 1544005339.616 * * [misc]simplify: iters left: 5 (22 enodes) 1544005339.620 * * [misc]simplify: iters left: 4 (28 enodes) 1544005339.623 * * [misc]simplify: iters left: 3 (30 enodes) 1544005339.627 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1544005339.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (sqrt (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005339.627 * * * * [misc]progress: [ 43 / 451 ] simplifiying candidate # 1544005339.628 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005339.628 * * [misc]simplify: iters left: 6 (15 enodes) 1544005339.630 * * [misc]simplify: iters left: 5 (21 enodes) 1544005339.633 * * [misc]simplify: iters left: 4 (27 enodes) 1544005339.637 * * [misc]simplify: iters left: 3 (29 enodes) 1544005339.644 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005339.644 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544005339.644 * * * * [misc]progress: [ 44 / 451 ] simplifiying candidate # 1544005339.645 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005339.645 * * [misc]simplify: iters left: 6 (16 enodes) 1544005339.652 * * [misc]simplify: iters left: 5 (22 enodes) 1544005339.659 * * [misc]simplify: iters left: 4 (28 enodes) 1544005339.667 * * [misc]simplify: iters left: 3 (29 enodes) 1544005339.674 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005339.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544005339.674 * * * * [misc]progress: [ 45 / 451 ] simplifiying candidate # 1544005339.675 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.675 * * [misc]simplify: iters left: 6 (15 enodes) 1544005339.679 * * [misc]simplify: iters left: 5 (21 enodes) 1544005339.685 * * [misc]simplify: iters left: 4 (27 enodes) 1544005339.692 * * [misc]simplify: iters left: 3 (29 enodes) 1544005339.699 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.699 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005339.700 * * * * [misc]progress: [ 46 / 451 ] simplifiying candidate # 1544005339.700 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.700 * * [misc]simplify: iters left: 6 (14 enodes) 1544005339.704 * * [misc]simplify: iters left: 5 (20 enodes) 1544005339.710 * * [misc]simplify: iters left: 4 (26 enodes) 1544005339.717 * * [misc]simplify: iters left: 3 (28 enodes) 1544005339.724 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.724 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt 1))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005339.724 * * * * [misc]progress: [ 47 / 451 ] simplifiying candidate # 1544005339.724 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.724 * * [misc]simplify: iters left: 6 (15 enodes) 1544005339.729 * * [misc]simplify: iters left: 5 (21 enodes) 1544005339.735 * * [misc]simplify: iters left: 4 (27 enodes) 1544005339.742 * * [misc]simplify: iters left: 3 (29 enodes) 1544005339.748 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.748 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005339.748 * * * * [misc]progress: [ 48 / 451 ] simplifiying candidate # 1544005339.749 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.749 * * [misc]simplify: iters left: 6 (14 enodes) 1544005339.751 * * [misc]simplify: iters left: 5 (20 enodes) 1544005339.754 * * [misc]simplify: iters left: 4 (26 enodes) 1544005339.757 * * [misc]simplify: iters left: 3 (28 enodes) 1544005339.761 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.761 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1)) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005339.761 * * * * [misc]progress: [ 49 / 451 ] simplifiying candidate # 1544005339.761 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005339.761 * * [misc]simplify: iters left: 6 (15 enodes) 1544005339.764 * * [misc]simplify: iters left: 5 (21 enodes) 1544005339.767 * * [misc]simplify: iters left: 4 (27 enodes) 1544005339.770 * * [misc]simplify: iters left: 3 (29 enodes) 1544005339.777 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005339.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544005339.778 * * * * [misc]progress: [ 50 / 451 ] simplifiying candidate # 1544005339.778 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005339.778 * * [misc]simplify: iters left: 6 (16 enodes) 1544005339.783 * * [misc]simplify: iters left: 5 (22 enodes) 1544005339.789 * * [misc]simplify: iters left: 4 (28 enodes) 1544005339.797 * * [misc]simplify: iters left: 3 (29 enodes) 1544005339.804 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005339.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544005339.805 * * * * [misc]progress: [ 51 / 451 ] simplifiying candidate # 1544005339.805 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.805 * * [misc]simplify: iters left: 6 (15 enodes) 1544005339.810 * * [misc]simplify: iters left: 5 (21 enodes) 1544005339.816 * * [misc]simplify: iters left: 4 (27 enodes) 1544005339.824 * * [misc]simplify: iters left: 3 (29 enodes) 1544005339.832 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005339.832 * * * * [misc]progress: [ 52 / 451 ] simplifiying candidate # 1544005339.832 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.833 * * [misc]simplify: iters left: 6 (14 enodes) 1544005339.837 * * [misc]simplify: iters left: 5 (20 enodes) 1544005339.843 * * [misc]simplify: iters left: 4 (26 enodes) 1544005339.850 * * [misc]simplify: iters left: 3 (28 enodes) 1544005339.858 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt 1))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005339.858 * * * * [misc]progress: [ 53 / 451 ] simplifiying candidate # 1544005339.858 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.858 * * [misc]simplify: iters left: 6 (15 enodes) 1544005339.863 * * [misc]simplify: iters left: 5 (21 enodes) 1544005339.869 * * [misc]simplify: iters left: 4 (27 enodes) 1544005339.876 * * [misc]simplify: iters left: 3 (29 enodes) 1544005339.884 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.884 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005339.884 * * * * [misc]progress: [ 54 / 451 ] simplifiying candidate # 1544005339.884 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.884 * * [misc]simplify: iters left: 6 (14 enodes) 1544005339.889 * * [misc]simplify: iters left: 5 (20 enodes) 1544005339.895 * * [misc]simplify: iters left: 4 (26 enodes) 1544005339.902 * * [misc]simplify: iters left: 3 (28 enodes) 1544005339.909 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.909 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1)) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005339.909 * * * * [misc]progress: [ 55 / 451 ] simplifiying candidate # 1544005339.910 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005339.910 * * [misc]simplify: iters left: 6 (12 enodes) 1544005339.914 * * [misc]simplify: iters left: 5 (17 enodes) 1544005339.919 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005339.919 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544005339.919 * * * * [misc]progress: [ 56 / 451 ] simplifiying candidate # 1544005339.919 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005339.920 * * [misc]simplify: iters left: 6 (14 enodes) 1544005339.925 * * [misc]simplify: iters left: 5 (19 enodes) 1544005339.930 * * [misc]simplify: iters left: 4 (22 enodes) 1544005339.936 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005339.936 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005339.936 * * * * [misc]progress: [ 57 / 451 ] simplifiying candidate # 1544005339.937 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.937 * * [misc]simplify: iters left: 6 (13 enodes) 1544005339.941 * * [misc]simplify: iters left: 5 (18 enodes) 1544005339.946 * * [misc]simplify: iters left: 4 (21 enodes) 1544005339.952 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005339.952 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005339.952 * * * * [misc]progress: [ 58 / 451 ] simplifiying candidate # 1544005339.952 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.952 * * [misc]simplify: iters left: 6 (12 enodes) 1544005339.956 * * [misc]simplify: iters left: 5 (17 enodes) 1544005339.961 * * [misc]simplify: iters left: 4 (20 enodes) 1544005339.966 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.967 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005339.967 * * * * [misc]progress: [ 59 / 451 ] simplifiying candidate # 1544005339.967 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005339.967 * * [misc]simplify: iters left: 6 (13 enodes) 1544005339.971 * * [misc]simplify: iters left: 5 (18 enodes) 1544005339.976 * * [misc]simplify: iters left: 4 (21 enodes) 1544005339.982 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005339.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005339.983 * * * * [misc]progress: [ 60 / 451 ] simplifiying candidate # 1544005339.983 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.983 * * [misc]simplify: iters left: 6 (12 enodes) 1544005339.987 * * [misc]simplify: iters left: 5 (17 enodes) 1544005339.992 * * [misc]simplify: iters left: 4 (20 enodes) 1544005339.997 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005339.997 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1)) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005339.998 * * * * [misc]progress: [ 61 / 451 ] simplifiying candidate # 1544005339.998 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005339.998 * * [misc]simplify: iters left: 6 (14 enodes) 1544005340.002 * * [misc]simplify: iters left: 5 (19 enodes) 1544005340.007 * * [misc]simplify: iters left: 4 (22 enodes) 1544005340.014 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005340.014 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005340.014 * * * * [misc]progress: [ 62 / 451 ] simplifiying candidate # 1544005340.014 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005340.014 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.018 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.023 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544005340.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))))) 1544005340.023 * * * * [misc]progress: [ 63 / 451 ] simplifiying candidate # 1544005340.024 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.024 * * [misc]simplify: iters left: 6 (14 enodes) 1544005340.028 * * [misc]simplify: iters left: 5 (19 enodes) 1544005340.034 * * [misc]simplify: iters left: 4 (22 enodes) 1544005340.040 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005340.040 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005340.040 * * * * [misc]progress: [ 64 / 451 ] simplifiying candidate # 1544005340.041 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.041 * * [misc]simplify: iters left: 6 (13 enodes) 1544005340.044 * * [misc]simplify: iters left: 5 (18 enodes) 1544005340.047 * * [misc]simplify: iters left: 4 (21 enodes) 1544005340.050 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544005340.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 1544005340.050 * * * * [misc]progress: [ 65 / 451 ] simplifiying candidate # 1544005340.050 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.050 * * [misc]simplify: iters left: 6 (14 enodes) 1544005340.052 * * [misc]simplify: iters left: 5 (19 enodes) 1544005340.055 * * [misc]simplify: iters left: 4 (22 enodes) 1544005340.058 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005340.058 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005340.058 * * * * [misc]progress: [ 66 / 451 ] simplifiying candidate # 1544005340.059 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.059 * * [misc]simplify: iters left: 6 (13 enodes) 1544005340.061 * * [misc]simplify: iters left: 5 (18 enodes) 1544005340.063 * * [misc]simplify: iters left: 4 (21 enodes) 1544005340.066 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544005340.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1)) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 1544005340.066 * * * * [misc]progress: [ 67 / 451 ] simplifiying candidate # 1544005340.066 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005340.067 * * [misc]simplify: iters left: 6 (13 enodes) 1544005340.068 * * [misc]simplify: iters left: 5 (18 enodes) 1544005340.071 * * [misc]simplify: iters left: 4 (21 enodes) 1544005340.076 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005340.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005340.076 * * * * [misc]progress: [ 68 / 451 ] simplifiying candidate # 1544005340.077 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005340.077 * * [misc]simplify: iters left: 6 (14 enodes) 1544005340.081 * * [misc]simplify: iters left: 5 (19 enodes) 1544005340.087 * * [misc]simplify: iters left: 4 (22 enodes) 1544005340.093 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005340.093 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005340.094 * * * * [misc]progress: [ 69 / 451 ] simplifiying candidate # 1544005340.094 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.094 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.098 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.103 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005340.103 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))) 1544005340.103 * * * * [misc]progress: [ 70 / 451 ] simplifiying candidate # 1544005340.103 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.104 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.107 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.112 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.118 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.118 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005340.118 * * * * [misc]progress: [ 71 / 451 ] simplifiying candidate # 1544005340.118 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.119 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.122 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.125 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005340.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))) 1544005340.125 * * * * [misc]progress: [ 72 / 451 ] simplifiying candidate # 1544005340.126 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.126 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.127 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.130 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.132 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.133 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005340.133 * * * * [misc]progress: [ 73 / 451 ] simplifiying candidate # 1544005340.133 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005340.133 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.135 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.137 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.140 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005340.140 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544005340.140 * * * * [misc]progress: [ 74 / 451 ] simplifiying candidate # 1544005340.140 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005340.140 * * [misc]simplify: iters left: 6 (13 enodes) 1544005340.142 * * [misc]simplify: iters left: 5 (18 enodes) 1544005340.145 * * [misc]simplify: iters left: 4 (21 enodes) 1544005340.148 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005340.148 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544005340.148 * * * * [misc]progress: [ 75 / 451 ] simplifiying candidate # 1544005340.148 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.148 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.150 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.153 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.159 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.159 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544005340.159 * * * * [misc]progress: [ 76 / 451 ] simplifiying candidate # 1544005340.159 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005340.159 * * [misc]simplify: iters left: 6 (11 enodes) 1544005340.163 * * [misc]simplify: iters left: 5 (16 enodes) 1544005340.168 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005340.168 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt 1))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544005340.168 * * * * [misc]progress: [ 77 / 451 ] simplifiying candidate # 1544005340.169 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.169 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.172 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.177 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.183 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544005340.183 * * * * [misc]progress: [ 78 / 451 ] simplifiying candidate # 1544005340.183 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005340.183 * * [misc]simplify: iters left: 6 (11 enodes) 1544005340.187 * * [misc]simplify: iters left: 5 (16 enodes) 1544005340.192 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005340.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544005340.192 * * * * [misc]progress: [ 79 / 451 ] simplifiying candidate # 1544005340.192 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005340.192 * * [misc]simplify: iters left: 6 (13 enodes) 1544005340.197 * * [misc]simplify: iters left: 5 (18 enodes) 1544005340.202 * * [misc]simplify: iters left: 4 (21 enodes) 1544005340.208 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005340.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005340.208 * * * * [misc]progress: [ 80 / 451 ] simplifiying candidate # 1544005340.208 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005340.208 * * [misc]simplify: iters left: 6 (14 enodes) 1544005340.210 * * [misc]simplify: iters left: 5 (19 enodes) 1544005340.213 * * [misc]simplify: iters left: 4 (22 enodes) 1544005340.216 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005340.216 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005340.216 * * * * [misc]progress: [ 81 / 451 ] simplifiying candidate # 1544005340.216 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.216 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.218 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.221 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005340.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))) 1544005340.221 * * * * [misc]progress: [ 82 / 451 ] simplifiying candidate # 1544005340.221 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.221 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.223 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.225 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.228 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005340.228 * * * * [misc]progress: [ 83 / 451 ] simplifiying candidate # 1544005340.228 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.228 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.230 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.233 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005340.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))) 1544005340.233 * * * * [misc]progress: [ 84 / 451 ] simplifiying candidate # 1544005340.233 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.233 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.235 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.237 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.240 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.240 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005340.240 * * * * [misc]progress: [ 85 / 451 ] simplifiying candidate # 1544005340.240 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005340.240 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.242 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.245 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.248 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005340.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544005340.248 * * * * [misc]progress: [ 86 / 451 ] simplifiying candidate # 1544005340.248 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005340.248 * * [misc]simplify: iters left: 6 (13 enodes) 1544005340.250 * * [misc]simplify: iters left: 5 (18 enodes) 1544005340.253 * * [misc]simplify: iters left: 4 (21 enodes) 1544005340.256 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005340.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544005340.256 * * * * [misc]progress: [ 87 / 451 ] simplifiying candidate # 1544005340.256 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.256 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.258 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.260 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.264 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.264 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544005340.264 * * * * [misc]progress: [ 88 / 451 ] simplifiying candidate # 1544005340.264 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005340.264 * * [misc]simplify: iters left: 6 (11 enodes) 1544005340.268 * * [misc]simplify: iters left: 5 (16 enodes) 1544005340.273 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005340.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (sqrt 1))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544005340.273 * * * * [misc]progress: [ 89 / 451 ] simplifiying candidate # 1544005340.273 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.273 * * [misc]simplify: iters left: 6 (12 enodes) 1544005340.277 * * [misc]simplify: iters left: 5 (17 enodes) 1544005340.282 * * [misc]simplify: iters left: 4 (20 enodes) 1544005340.288 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544005340.288 * * * * [misc]progress: [ 90 / 451 ] simplifiying candidate # 1544005340.288 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005340.288 * * [misc]simplify: iters left: 6 (11 enodes) 1544005340.292 * * [misc]simplify: iters left: 5 (16 enodes) 1544005340.297 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005340.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) 1) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544005340.297 * * * * [misc]progress: [ 91 / 451 ] simplifiying candidate # 1544005340.297 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005340.297 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.302 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.309 * * [misc]simplify: iters left: 4 (29 enodes) 1544005340.316 * * [misc]simplify: iters left: 3 (30 enodes) 1544005340.324 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005340.324 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005340.324 * * * * [misc]progress: [ 92 / 451 ] simplifiying candidate # 1544005340.325 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005340.325 * * [misc]simplify: iters left: 6 (17 enodes) 1544005340.330 * * [misc]simplify: iters left: 5 (25 enodes) 1544005340.337 * * [misc]simplify: iters left: 4 (34 enodes) 1544005340.346 * * [misc]simplify: iters left: 3 (36 enodes) 1544005340.356 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005340.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005340.356 * * * * [misc]progress: [ 93 / 451 ] simplifiying candidate # 1544005340.356 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.356 * * [misc]simplify: iters left: 6 (16 enodes) 1544005340.361 * * [misc]simplify: iters left: 5 (24 enodes) 1544005340.368 * * [misc]simplify: iters left: 4 (33 enodes) 1544005340.377 * * [misc]simplify: iters left: 3 (35 enodes) 1544005340.387 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005340.387 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005340.387 * * * * [misc]progress: [ 94 / 451 ] simplifiying candidate # 1544005340.387 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.387 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.392 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.399 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.407 * * [misc]simplify: iters left: 3 (33 enodes) 1544005340.417 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005340.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544005340.417 * * * * [misc]progress: [ 95 / 451 ] simplifiying candidate # 1544005340.417 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.417 * * [misc]simplify: iters left: 6 (16 enodes) 1544005340.422 * * [misc]simplify: iters left: 5 (24 enodes) 1544005340.429 * * [misc]simplify: iters left: 4 (33 enodes) 1544005340.437 * * [misc]simplify: iters left: 3 (35 enodes) 1544005340.446 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005340.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005340.447 * * * * [misc]progress: [ 96 / 451 ] simplifiying candidate # 1544005340.447 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.447 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.452 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.458 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.467 * * [misc]simplify: iters left: 3 (33 enodes) 1544005340.476 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005340.476 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544005340.476 * * * * [misc]progress: [ 97 / 451 ] simplifiying candidate # 1544005340.476 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005340.476 * * [misc]simplify: iters left: 6 (17 enodes) 1544005340.482 * * [misc]simplify: iters left: 5 (25 enodes) 1544005340.488 * * [misc]simplify: iters left: 4 (34 enodes) 1544005340.493 * * [misc]simplify: iters left: 3 (36 enodes) 1544005340.497 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005340.497 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005340.497 * * * * [misc]progress: [ 98 / 451 ] simplifiying candidate # 1544005340.498 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005340.498 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.500 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.503 * * [misc]simplify: iters left: 4 (29 enodes) 1544005340.507 * * [misc]simplify: iters left: 3 (31 enodes) 1544005340.514 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544005340.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))))) 1544005340.514 * * * * [misc]progress: [ 99 / 451 ] simplifiying candidate # 1544005340.514 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.514 * * [misc]simplify: iters left: 6 (17 enodes) 1544005340.519 * * [misc]simplify: iters left: 5 (25 enodes) 1544005340.527 * * [misc]simplify: iters left: 4 (34 enodes) 1544005340.536 * * [misc]simplify: iters left: 3 (36 enodes) 1544005340.545 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005340.545 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005340.546 * * * * [misc]progress: [ 100 / 451 ] simplifiying candidate # 1544005340.546 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.546 * * [misc]simplify: iters left: 6 (16 enodes) 1544005340.551 * * [misc]simplify: iters left: 5 (24 enodes) 1544005340.557 * * [misc]simplify: iters left: 4 (33 enodes) 1544005340.566 * * [misc]simplify: iters left: 3 (35 enodes) 1544005340.576 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005340.576 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544005340.576 * * * * [misc]progress: [ 101 / 451 ] simplifiying candidate # 1544005340.576 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.576 * * [misc]simplify: iters left: 6 (17 enodes) 1544005340.581 * * [misc]simplify: iters left: 5 (25 enodes) 1544005340.589 * * [misc]simplify: iters left: 4 (34 enodes) 1544005340.598 * * [misc]simplify: iters left: 3 (36 enodes) 1544005340.607 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005340.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005340.607 * * * * [misc]progress: [ 102 / 451 ] simplifiying candidate # 1544005340.607 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.608 * * [misc]simplify: iters left: 6 (16 enodes) 1544005340.612 * * [misc]simplify: iters left: 5 (24 enodes) 1544005340.619 * * [misc]simplify: iters left: 4 (33 enodes) 1544005340.628 * * [misc]simplify: iters left: 3 (35 enodes) 1544005340.637 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005340.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544005340.637 * * * * [misc]progress: [ 103 / 451 ] simplifiying candidate # 1544005340.637 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005340.637 * * [misc]simplify: iters left: 6 (16 enodes) 1544005340.642 * * [misc]simplify: iters left: 5 (24 enodes) 1544005340.649 * * [misc]simplify: iters left: 4 (33 enodes) 1544005340.658 * * [misc]simplify: iters left: 3 (35 enodes) 1544005340.663 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005340.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005340.663 * * * * [misc]progress: [ 104 / 451 ] simplifiying candidate # 1544005340.663 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005340.663 * * [misc]simplify: iters left: 6 (17 enodes) 1544005340.666 * * [misc]simplify: iters left: 5 (25 enodes) 1544005340.669 * * [misc]simplify: iters left: 4 (34 enodes) 1544005340.674 * * [misc]simplify: iters left: 3 (36 enodes) 1544005340.678 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005340.678 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005340.679 * * * * [misc]progress: [ 105 / 451 ] simplifiying candidate # 1544005340.679 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.679 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.681 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.685 * * [misc]simplify: iters left: 4 (29 enodes) 1544005340.688 * * [misc]simplify: iters left: 3 (31 enodes) 1544005340.693 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005340.693 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005340.693 * * * * [misc]progress: [ 106 / 451 ] simplifiying candidate # 1544005340.694 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.694 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.698 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.705 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.713 * * [misc]simplify: iters left: 3 (33 enodes) 1544005340.720 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005340.720 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005340.721 * * * * [misc]progress: [ 107 / 451 ] simplifiying candidate # 1544005340.721 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.721 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.723 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.726 * * [misc]simplify: iters left: 4 (29 enodes) 1544005340.730 * * [misc]simplify: iters left: 3 (31 enodes) 1544005340.734 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005340.734 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005340.734 * * * * [misc]progress: [ 108 / 451 ] simplifiying candidate # 1544005340.734 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.734 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.736 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.740 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.744 * * [misc]simplify: iters left: 3 (33 enodes) 1544005340.748 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005340.748 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005340.748 * * * * [misc]progress: [ 109 / 451 ] simplifiying candidate # 1544005340.748 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005340.748 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.750 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.756 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.765 * * [misc]simplify: iters left: 3 (33 enodes) 1544005340.770 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005340.770 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544005340.770 * * * * [misc]progress: [ 110 / 451 ] simplifiying candidate # 1544005340.771 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005340.771 * * [misc]simplify: iters left: 6 (16 enodes) 1544005340.773 * * [misc]simplify: iters left: 5 (24 enodes) 1544005340.776 * * [misc]simplify: iters left: 4 (33 enodes) 1544005340.781 * * [misc]simplify: iters left: 3 (35 enodes) 1544005340.785 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005340.785 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544005340.785 * * * * [misc]progress: [ 111 / 451 ] simplifiying candidate # 1544005340.786 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.786 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.788 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.791 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.795 * * [misc]simplify: iters left: 3 (33 enodes) 1544005340.800 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005340.800 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005340.800 * * * * [misc]progress: [ 112 / 451 ] simplifiying candidate # 1544005340.800 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005340.800 * * [misc]simplify: iters left: 6 (14 enodes) 1544005340.804 * * [misc]simplify: iters left: 5 (22 enodes) 1544005340.811 * * [misc]simplify: iters left: 4 (28 enodes) 1544005340.818 * * [misc]simplify: iters left: 3 (30 enodes) 1544005340.823 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005340.823 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005340.823 * * * * [misc]progress: [ 113 / 451 ] simplifiying candidate # 1544005340.823 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005340.823 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.825 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.829 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.833 * * [misc]simplify: iters left: 3 (33 enodes) 1544005340.837 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005340.837 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005340.838 * * * * [misc]progress: [ 114 / 451 ] simplifiying candidate # 1544005340.838 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005340.838 * * [misc]simplify: iters left: 6 (14 enodes) 1544005340.840 * * [misc]simplify: iters left: 5 (22 enodes) 1544005340.843 * * [misc]simplify: iters left: 4 (28 enodes) 1544005340.847 * * [misc]simplify: iters left: 3 (30 enodes) 1544005340.855 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005340.855 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005340.856 * * * * [misc]progress: [ 115 / 451 ] simplifiying candidate # 1544005340.856 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005340.856 * * [misc]simplify: iters left: 6 (16 enodes) 1544005340.861 * * [misc]simplify: iters left: 5 (24 enodes) 1544005340.868 * * [misc]simplify: iters left: 4 (33 enodes) 1544005340.874 * * [misc]simplify: iters left: 3 (35 enodes) 1544005340.878 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005340.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005340.878 * * * * [misc]progress: [ 116 / 451 ] simplifiying candidate # 1544005340.879 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005340.879 * * [misc]simplify: iters left: 6 (17 enodes) 1544005340.881 * * [misc]simplify: iters left: 5 (25 enodes) 1544005340.885 * * [misc]simplify: iters left: 4 (34 enodes) 1544005340.890 * * [misc]simplify: iters left: 3 (36 enodes) 1544005340.895 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005340.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005340.895 * * * * [misc]progress: [ 117 / 451 ] simplifiying candidate # 1544005340.895 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.895 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.897 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.902 * * [misc]simplify: iters left: 4 (29 enodes) 1544005340.910 * * [misc]simplify: iters left: 3 (31 enodes) 1544005340.916 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005340.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005340.917 * * * * [misc]progress: [ 118 / 451 ] simplifiying candidate # 1544005340.917 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.917 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.919 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.923 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.927 * * [misc]simplify: iters left: 3 (33 enodes) 1544005340.931 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005340.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005340.931 * * * * [misc]progress: [ 119 / 451 ] simplifiying candidate # 1544005340.931 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005340.931 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.934 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.937 * * [misc]simplify: iters left: 4 (29 enodes) 1544005340.941 * * [misc]simplify: iters left: 3 (31 enodes) 1544005340.947 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005340.947 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005340.947 * * * * [misc]progress: [ 120 / 451 ] simplifiying candidate # 1544005340.948 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005340.948 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.953 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.959 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.968 * * [misc]simplify: iters left: 3 (33 enodes) 1544005340.976 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005340.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005340.976 * * * * [misc]progress: [ 121 / 451 ] simplifiying candidate # 1544005340.977 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005340.977 * * [misc]simplify: iters left: 6 (15 enodes) 1544005340.981 * * [misc]simplify: iters left: 5 (23 enodes) 1544005340.988 * * [misc]simplify: iters left: 4 (32 enodes) 1544005340.996 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.002 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005341.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544005341.002 * * * * [misc]progress: [ 122 / 451 ] simplifiying candidate # 1544005341.002 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005341.003 * * [misc]simplify: iters left: 6 (16 enodes) 1544005341.005 * * [misc]simplify: iters left: 5 (24 enodes) 1544005341.008 * * [misc]simplify: iters left: 4 (33 enodes) 1544005341.013 * * [misc]simplify: iters left: 3 (35 enodes) 1544005341.018 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005341.018 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544005341.018 * * * * [misc]progress: [ 123 / 451 ] simplifiying candidate # 1544005341.018 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005341.018 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.020 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.024 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.028 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.037 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.037 * * * * [misc]progress: [ 124 / 451 ] simplifiying candidate # 1544005341.037 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005341.038 * * [misc]simplify: iters left: 6 (14 enodes) 1544005341.042 * * [misc]simplify: iters left: 5 (22 enodes) 1544005341.046 * * [misc]simplify: iters left: 4 (28 enodes) 1544005341.050 * * [misc]simplify: iters left: 3 (30 enodes) 1544005341.054 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005341.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt 1))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005341.054 * * * * [misc]progress: [ 125 / 451 ] simplifiying candidate # 1544005341.054 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005341.054 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.057 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.060 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.064 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.072 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.072 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.072 * * * * [misc]progress: [ 126 / 451 ] simplifiying candidate # 1544005341.073 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005341.073 * * [misc]simplify: iters left: 6 (14 enodes) 1544005341.077 * * [misc]simplify: iters left: 5 (22 enodes) 1544005341.083 * * [misc]simplify: iters left: 4 (28 enodes) 1544005341.091 * * [misc]simplify: iters left: 3 (30 enodes) 1544005341.098 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005341.098 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1)) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005341.098 * * * * [misc]progress: [ 127 / 451 ] simplifiying candidate # 1544005341.099 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005341.099 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.103 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.110 * * [misc]simplify: iters left: 4 (29 enodes) 1544005341.118 * * [misc]simplify: iters left: 3 (30 enodes) 1544005341.126 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005341.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005341.126 * * * * [misc]progress: [ 128 / 451 ] simplifiying candidate # 1544005341.126 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005341.126 * * [misc]simplify: iters left: 6 (17 enodes) 1544005341.131 * * [misc]simplify: iters left: 5 (25 enodes) 1544005341.138 * * [misc]simplify: iters left: 4 (34 enodes) 1544005341.147 * * [misc]simplify: iters left: 3 (36 enodes) 1544005341.157 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005341.157 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005341.157 * * * * [misc]progress: [ 129 / 451 ] simplifiying candidate # 1544005341.158 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005341.158 * * [misc]simplify: iters left: 6 (16 enodes) 1544005341.163 * * [misc]simplify: iters left: 5 (24 enodes) 1544005341.170 * * [misc]simplify: iters left: 4 (33 enodes) 1544005341.178 * * [misc]simplify: iters left: 3 (35 enodes) 1544005341.187 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005341.187 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005341.187 * * * * [misc]progress: [ 130 / 451 ] simplifiying candidate # 1544005341.188 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005341.188 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.193 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.200 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.209 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.218 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005341.218 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544005341.218 * * * * [misc]progress: [ 131 / 451 ] simplifiying candidate # 1544005341.218 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005341.218 * * [misc]simplify: iters left: 6 (16 enodes) 1544005341.223 * * [misc]simplify: iters left: 5 (24 enodes) 1544005341.230 * * [misc]simplify: iters left: 4 (33 enodes) 1544005341.239 * * [misc]simplify: iters left: 3 (35 enodes) 1544005341.248 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005341.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005341.248 * * * * [misc]progress: [ 132 / 451 ] simplifiying candidate # 1544005341.248 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005341.248 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.253 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.259 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.265 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.270 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005341.270 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544005341.270 * * * * [misc]progress: [ 133 / 451 ] simplifiying candidate # 1544005341.270 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005341.270 * * [misc]simplify: iters left: 6 (17 enodes) 1544005341.272 * * [misc]simplify: iters left: 5 (25 enodes) 1544005341.276 * * [misc]simplify: iters left: 4 (34 enodes) 1544005341.280 * * [misc]simplify: iters left: 3 (36 enodes) 1544005341.285 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005341.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005341.285 * * * * [misc]progress: [ 134 / 451 ] simplifiying candidate # 1544005341.285 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005341.285 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.287 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.291 * * [misc]simplify: iters left: 4 (29 enodes) 1544005341.294 * * [misc]simplify: iters left: 3 (31 enodes) 1544005341.298 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544005341.298 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))))) 1544005341.298 * * * * [misc]progress: [ 135 / 451 ] simplifiying candidate # 1544005341.298 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005341.299 * * [misc]simplify: iters left: 6 (17 enodes) 1544005341.301 * * [misc]simplify: iters left: 5 (25 enodes) 1544005341.305 * * [misc]simplify: iters left: 4 (34 enodes) 1544005341.309 * * [misc]simplify: iters left: 3 (36 enodes) 1544005341.314 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005341.314 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005341.314 * * * * [misc]progress: [ 136 / 451 ] simplifiying candidate # 1544005341.314 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005341.314 * * [misc]simplify: iters left: 6 (16 enodes) 1544005341.316 * * [misc]simplify: iters left: 5 (24 enodes) 1544005341.319 * * [misc]simplify: iters left: 4 (33 enodes) 1544005341.324 * * [misc]simplify: iters left: 3 (35 enodes) 1544005341.333 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005341.333 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544005341.334 * * * * [misc]progress: [ 137 / 451 ] simplifiying candidate # 1544005341.334 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005341.334 * * [misc]simplify: iters left: 6 (17 enodes) 1544005341.339 * * [misc]simplify: iters left: 5 (25 enodes) 1544005341.346 * * [misc]simplify: iters left: 4 (34 enodes) 1544005341.355 * * [misc]simplify: iters left: 3 (36 enodes) 1544005341.365 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005341.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005341.365 * * * * [misc]progress: [ 138 / 451 ] simplifiying candidate # 1544005341.365 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005341.365 * * [misc]simplify: iters left: 6 (16 enodes) 1544005341.370 * * [misc]simplify: iters left: 5 (24 enodes) 1544005341.374 * * [misc]simplify: iters left: 4 (33 enodes) 1544005341.378 * * [misc]simplify: iters left: 3 (35 enodes) 1544005341.382 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005341.383 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544005341.383 * * * * [misc]progress: [ 139 / 451 ] simplifiying candidate # 1544005341.383 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005341.383 * * [misc]simplify: iters left: 6 (16 enodes) 1544005341.386 * * [misc]simplify: iters left: 5 (24 enodes) 1544005341.389 * * [misc]simplify: iters left: 4 (33 enodes) 1544005341.393 * * [misc]simplify: iters left: 3 (35 enodes) 1544005341.398 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005341.398 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005341.398 * * * * [misc]progress: [ 140 / 451 ] simplifiying candidate # 1544005341.398 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005341.398 * * [misc]simplify: iters left: 6 (17 enodes) 1544005341.400 * * [misc]simplify: iters left: 5 (25 enodes) 1544005341.405 * * [misc]simplify: iters left: 4 (34 enodes) 1544005341.414 * * [misc]simplify: iters left: 3 (36 enodes) 1544005341.423 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005341.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005341.423 * * * * [misc]progress: [ 141 / 451 ] simplifiying candidate # 1544005341.424 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005341.424 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.428 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.435 * * [misc]simplify: iters left: 4 (29 enodes) 1544005341.443 * * [misc]simplify: iters left: 3 (31 enodes) 1544005341.451 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005341.451 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005341.451 * * * * [misc]progress: [ 142 / 451 ] simplifiying candidate # 1544005341.451 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005341.452 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.456 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.463 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.471 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.483 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.483 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.484 * * * * [misc]progress: [ 143 / 451 ] simplifiying candidate # 1544005341.484 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005341.484 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.489 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.495 * * [misc]simplify: iters left: 4 (29 enodes) 1544005341.503 * * [misc]simplify: iters left: 3 (31 enodes) 1544005341.511 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005341.511 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005341.511 * * * * [misc]progress: [ 144 / 451 ] simplifiying candidate # 1544005341.511 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005341.511 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.516 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.522 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.530 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.540 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.540 * * * * [misc]progress: [ 145 / 451 ] simplifiying candidate # 1544005341.540 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005341.540 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.545 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.552 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.560 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.568 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005341.568 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544005341.568 * * * * [misc]progress: [ 146 / 451 ] simplifiying candidate # 1544005341.568 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005341.569 * * [misc]simplify: iters left: 6 (16 enodes) 1544005341.574 * * [misc]simplify: iters left: 5 (24 enodes) 1544005341.580 * * [misc]simplify: iters left: 4 (33 enodes) 1544005341.589 * * [misc]simplify: iters left: 3 (35 enodes) 1544005341.598 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005341.598 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544005341.598 * * * * [misc]progress: [ 147 / 451 ] simplifiying candidate # 1544005341.598 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005341.598 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.603 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.609 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.618 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.627 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.627 * * * * [misc]progress: [ 148 / 451 ] simplifiying candidate # 1544005341.627 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005341.627 * * [misc]simplify: iters left: 6 (14 enodes) 1544005341.632 * * [misc]simplify: iters left: 5 (22 enodes) 1544005341.638 * * [misc]simplify: iters left: 4 (28 enodes) 1544005341.646 * * [misc]simplify: iters left: 3 (30 enodes) 1544005341.654 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005341.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005341.654 * * * * [misc]progress: [ 149 / 451 ] simplifiying candidate # 1544005341.654 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005341.654 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.659 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.666 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.675 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.684 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.684 * * * * [misc]progress: [ 150 / 451 ] simplifiying candidate # 1544005341.685 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005341.685 * * [misc]simplify: iters left: 6 (14 enodes) 1544005341.689 * * [misc]simplify: iters left: 5 (22 enodes) 1544005341.696 * * [misc]simplify: iters left: 4 (28 enodes) 1544005341.704 * * [misc]simplify: iters left: 3 (30 enodes) 1544005341.712 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005341.712 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005341.712 * * * * [misc]progress: [ 151 / 451 ] simplifiying candidate # 1544005341.712 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005341.713 * * [misc]simplify: iters left: 6 (16 enodes) 1544005341.717 * * [misc]simplify: iters left: 5 (24 enodes) 1544005341.724 * * [misc]simplify: iters left: 4 (33 enodes) 1544005341.733 * * [misc]simplify: iters left: 3 (35 enodes) 1544005341.743 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005341.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005341.743 * * * * [misc]progress: [ 152 / 451 ] simplifiying candidate # 1544005341.743 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005341.743 * * [misc]simplify: iters left: 6 (17 enodes) 1544005341.749 * * [misc]simplify: iters left: 5 (25 enodes) 1544005341.756 * * [misc]simplify: iters left: 4 (34 enodes) 1544005341.766 * * [misc]simplify: iters left: 3 (36 enodes) 1544005341.775 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005341.775 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005341.775 * * * * [misc]progress: [ 153 / 451 ] simplifiying candidate # 1544005341.776 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005341.776 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.781 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.787 * * [misc]simplify: iters left: 4 (29 enodes) 1544005341.795 * * [misc]simplify: iters left: 3 (31 enodes) 1544005341.801 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005341.801 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005341.801 * * * * [misc]progress: [ 154 / 451 ] simplifiying candidate # 1544005341.801 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005341.802 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.804 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.807 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.811 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.815 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.815 * * * * [misc]progress: [ 155 / 451 ] simplifiying candidate # 1544005341.816 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005341.816 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.818 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.822 * * [misc]simplify: iters left: 4 (29 enodes) 1544005341.825 * * [misc]simplify: iters left: 3 (31 enodes) 1544005341.829 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005341.829 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))))) 1544005341.829 * * * * [misc]progress: [ 156 / 451 ] simplifiying candidate # 1544005341.829 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005341.830 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.832 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.835 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.843 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.851 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.851 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.851 * * * * [misc]progress: [ 157 / 451 ] simplifiying candidate # 1544005341.852 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005341.852 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.857 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.861 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.866 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.870 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005341.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544005341.870 * * * * [misc]progress: [ 158 / 451 ] simplifiying candidate # 1544005341.870 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005341.870 * * [misc]simplify: iters left: 6 (16 enodes) 1544005341.873 * * [misc]simplify: iters left: 5 (24 enodes) 1544005341.876 * * [misc]simplify: iters left: 4 (33 enodes) 1544005341.880 * * [misc]simplify: iters left: 3 (35 enodes) 1544005341.885 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005341.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544005341.885 * * * * [misc]progress: [ 159 / 451 ] simplifiying candidate # 1544005341.885 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005341.885 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.887 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.894 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.903 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.911 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.911 * * * * [misc]progress: [ 160 / 451 ] simplifiying candidate # 1544005341.912 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005341.912 * * [misc]simplify: iters left: 6 (14 enodes) 1544005341.917 * * [misc]simplify: iters left: 5 (22 enodes) 1544005341.923 * * [misc]simplify: iters left: 4 (28 enodes) 1544005341.931 * * [misc]simplify: iters left: 3 (30 enodes) 1544005341.938 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005341.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt 1))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005341.938 * * * * [misc]progress: [ 161 / 451 ] simplifiying candidate # 1544005341.939 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005341.939 * * [misc]simplify: iters left: 6 (15 enodes) 1544005341.944 * * [misc]simplify: iters left: 5 (23 enodes) 1544005341.950 * * [misc]simplify: iters left: 4 (32 enodes) 1544005341.958 * * [misc]simplify: iters left: 3 (33 enodes) 1544005341.966 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005341.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544005341.967 * * * * [misc]progress: [ 162 / 451 ] simplifiying candidate # 1544005341.967 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005341.967 * * [misc]simplify: iters left: 6 (14 enodes) 1544005341.971 * * [misc]simplify: iters left: 5 (22 enodes) 1544005341.978 * * [misc]simplify: iters left: 4 (28 enodes) 1544005341.985 * * [misc]simplify: iters left: 3 (30 enodes) 1544005341.993 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005341.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) 1)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)))) 1544005341.993 * * * * [misc]progress: [ 163 / 451 ] simplifiying candidate # 1544005341.993 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005341.993 * * [misc]simplify: iters left: 6 (14 enodes) 1544005341.998 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.004 * * [misc]simplify: iters left: 4 (28 enodes) 1544005342.012 * * [misc]simplify: iters left: 3 (29 enodes) 1544005342.019 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005342.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005342.020 * * * * [misc]progress: [ 164 / 451 ] simplifiying candidate # 1544005342.020 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005342.020 * * [misc]simplify: iters left: 6 (16 enodes) 1544005342.025 * * [misc]simplify: iters left: 5 (24 enodes) 1544005342.032 * * [misc]simplify: iters left: 4 (33 enodes) 1544005342.041 * * [misc]simplify: iters left: 3 (35 enodes) 1544005342.050 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005342.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544005342.050 * * * * [misc]progress: [ 165 / 451 ] simplifiying candidate # 1544005342.050 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.051 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.053 * * [misc]simplify: iters left: 5 (23 enodes) 1544005342.057 * * [misc]simplify: iters left: 4 (32 enodes) 1544005342.061 * * [misc]simplify: iters left: 3 (33 enodes) 1544005342.065 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005342.065 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544005342.065 * * * * [misc]progress: [ 166 / 451 ] simplifiying candidate # 1544005342.065 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.065 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.067 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.070 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.074 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.079 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.079 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.079 * * * * [misc]progress: [ 167 / 451 ] simplifiying candidate # 1544005342.079 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.079 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.082 * * [misc]simplify: iters left: 5 (23 enodes) 1544005342.085 * * [misc]simplify: iters left: 4 (32 enodes) 1544005342.089 * * [misc]simplify: iters left: 3 (33 enodes) 1544005342.093 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005342.093 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544005342.093 * * * * [misc]progress: [ 168 / 451 ] simplifiying candidate # 1544005342.093 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.093 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.095 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.098 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.102 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.106 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.106 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1)) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.107 * * * * [misc]progress: [ 169 / 451 ] simplifiying candidate # 1544005342.107 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005342.107 * * [misc]simplify: iters left: 6 (16 enodes) 1544005342.109 * * [misc]simplify: iters left: 5 (24 enodes) 1544005342.112 * * [misc]simplify: iters left: 4 (33 enodes) 1544005342.117 * * [misc]simplify: iters left: 3 (35 enodes) 1544005342.121 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005342.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544005342.121 * * * * [misc]progress: [ 170 / 451 ] simplifiying candidate # 1544005342.121 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005342.121 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.124 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.127 * * [misc]simplify: iters left: 4 (28 enodes) 1544005342.134 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.142 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544005342.142 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1544005342.142 * * * * [misc]progress: [ 171 / 451 ] simplifiying candidate # 1544005342.142 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.142 * * [misc]simplify: iters left: 6 (16 enodes) 1544005342.147 * * [misc]simplify: iters left: 5 (24 enodes) 1544005342.154 * * [misc]simplify: iters left: 4 (33 enodes) 1544005342.163 * * [misc]simplify: iters left: 3 (35 enodes) 1544005342.172 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005342.172 * * * * [misc]progress: [ 172 / 451 ] simplifiying candidate # 1544005342.172 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.172 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.177 * * [misc]simplify: iters left: 5 (23 enodes) 1544005342.184 * * [misc]simplify: iters left: 4 (32 enodes) 1544005342.192 * * [misc]simplify: iters left: 3 (33 enodes) 1544005342.201 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005342.201 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544005342.201 * * * * [misc]progress: [ 173 / 451 ] simplifiying candidate # 1544005342.202 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.202 * * [misc]simplify: iters left: 6 (16 enodes) 1544005342.207 * * [misc]simplify: iters left: 5 (24 enodes) 1544005342.214 * * [misc]simplify: iters left: 4 (33 enodes) 1544005342.223 * * [misc]simplify: iters left: 3 (35 enodes) 1544005342.230 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.230 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005342.230 * * * * [misc]progress: [ 174 / 451 ] simplifiying candidate # 1544005342.230 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.230 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.232 * * [misc]simplify: iters left: 5 (23 enodes) 1544005342.235 * * [misc]simplify: iters left: 4 (32 enodes) 1544005342.239 * * [misc]simplify: iters left: 3 (33 enodes) 1544005342.244 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005342.244 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1)) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544005342.244 * * * * [misc]progress: [ 175 / 451 ] simplifiying candidate # 1544005342.244 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005342.244 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.246 * * [misc]simplify: iters left: 5 (23 enodes) 1544005342.249 * * [misc]simplify: iters left: 4 (32 enodes) 1544005342.254 * * [misc]simplify: iters left: 3 (33 enodes) 1544005342.258 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.258 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005342.258 * * * * [misc]progress: [ 176 / 451 ] simplifiying candidate # 1544005342.258 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005342.259 * * [misc]simplify: iters left: 6 (16 enodes) 1544005342.261 * * [misc]simplify: iters left: 5 (24 enodes) 1544005342.264 * * [misc]simplify: iters left: 4 (33 enodes) 1544005342.268 * * [misc]simplify: iters left: 3 (35 enodes) 1544005342.273 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005342.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544005342.273 * * * * [misc]progress: [ 177 / 451 ] simplifiying candidate # 1544005342.273 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.273 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.275 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.279 * * [misc]simplify: iters left: 4 (28 enodes) 1544005342.282 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.289 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005342.289 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544005342.289 * * * * [misc]progress: [ 178 / 451 ] simplifiying candidate # 1544005342.289 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.289 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.293 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.300 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.308 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.316 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.316 * * * * [misc]progress: [ 179 / 451 ] simplifiying candidate # 1544005342.317 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.317 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.321 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.327 * * [misc]simplify: iters left: 4 (28 enodes) 1544005342.335 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.342 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005342.342 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544005342.342 * * * * [misc]progress: [ 180 / 451 ] simplifiying candidate # 1544005342.343 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.343 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.347 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.352 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.357 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.362 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.362 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1)) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.362 * * * * [misc]progress: [ 181 / 451 ] simplifiying candidate # 1544005342.362 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005342.362 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.364 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.368 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.372 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.376 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.376 * * * * [misc]progress: [ 182 / 451 ] simplifiying candidate # 1544005342.376 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005342.376 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.378 * * [misc]simplify: iters left: 5 (23 enodes) 1544005342.381 * * [misc]simplify: iters left: 4 (32 enodes) 1544005342.385 * * [misc]simplify: iters left: 3 (33 enodes) 1544005342.392 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.392 * * * * [misc]progress: [ 183 / 451 ] simplifiying candidate # 1544005342.392 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.393 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.397 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.403 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.412 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.419 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.420 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.420 * * * * [misc]progress: [ 184 / 451 ] simplifiying candidate # 1544005342.420 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005342.420 * * [misc]simplify: iters left: 6 (13 enodes) 1544005342.424 * * [misc]simplify: iters left: 5 (21 enodes) 1544005342.430 * * [misc]simplify: iters left: 4 (27 enodes) 1544005342.437 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.445 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005342.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (sqrt 1))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005342.445 * * * * [misc]progress: [ 185 / 451 ] simplifiying candidate # 1544005342.445 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.446 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.450 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.457 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.465 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.474 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.474 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.474 * * * * [misc]progress: [ 186 / 451 ] simplifiying candidate # 1544005342.474 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005342.475 * * [misc]simplify: iters left: 6 (13 enodes) 1544005342.478 * * [misc]simplify: iters left: 5 (21 enodes) 1544005342.481 * * [misc]simplify: iters left: 4 (27 enodes) 1544005342.484 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.488 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005342.488 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt 1)) 1)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005342.488 * * * * [misc]progress: [ 187 / 451 ] simplifiying candidate # 1544005342.488 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005342.489 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.491 * * [misc]simplify: iters left: 5 (23 enodes) 1544005342.494 * * [misc]simplify: iters left: 4 (32 enodes) 1544005342.498 * * [misc]simplify: iters left: 3 (33 enodes) 1544005342.503 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005342.503 * * * * [misc]progress: [ 188 / 451 ] simplifiying candidate # 1544005342.503 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005342.503 * * [misc]simplify: iters left: 6 (16 enodes) 1544005342.506 * * [misc]simplify: iters left: 5 (24 enodes) 1544005342.511 * * [misc]simplify: iters left: 4 (33 enodes) 1544005342.518 * * [misc]simplify: iters left: 3 (35 enodes) 1544005342.523 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005342.523 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544005342.523 * * * * [misc]progress: [ 189 / 451 ] simplifiying candidate # 1544005342.524 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.524 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.526 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.529 * * [misc]simplify: iters left: 4 (28 enodes) 1544005342.533 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.537 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005342.537 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544005342.537 * * * * [misc]progress: [ 190 / 451 ] simplifiying candidate # 1544005342.537 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.537 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.539 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.545 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.553 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.561 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.562 * * * * [misc]progress: [ 191 / 451 ] simplifiying candidate # 1544005342.562 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005342.562 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.567 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.570 * * [misc]simplify: iters left: 4 (28 enodes) 1544005342.574 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.577 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005342.578 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544005342.578 * * * * [misc]progress: [ 192 / 451 ] simplifiying candidate # 1544005342.578 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.578 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.580 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.583 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.587 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.591 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1)) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.591 * * * * [misc]progress: [ 193 / 451 ] simplifiying candidate # 1544005342.591 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005342.591 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.593 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.596 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.601 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.609 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.609 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.610 * * * * [misc]progress: [ 194 / 451 ] simplifiying candidate # 1544005342.610 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005342.610 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.615 * * [misc]simplify: iters left: 5 (23 enodes) 1544005342.621 * * [misc]simplify: iters left: 4 (32 enodes) 1544005342.630 * * [misc]simplify: iters left: 3 (33 enodes) 1544005342.638 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.638 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.639 * * * * [misc]progress: [ 195 / 451 ] simplifiying candidate # 1544005342.639 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.639 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.643 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.650 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.658 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.666 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.666 * * * * [misc]progress: [ 196 / 451 ] simplifiying candidate # 1544005342.666 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005342.667 * * [misc]simplify: iters left: 6 (13 enodes) 1544005342.671 * * [misc]simplify: iters left: 5 (21 enodes) 1544005342.677 * * [misc]simplify: iters left: 4 (27 enodes) 1544005342.684 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.689 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005342.689 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (sqrt 1))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005342.690 * * * * [misc]progress: [ 197 / 451 ] simplifiying candidate # 1544005342.690 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.690 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.692 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.695 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.699 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.703 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.703 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.703 * * * * [misc]progress: [ 198 / 451 ] simplifiying candidate # 1544005342.703 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005342.703 * * [misc]simplify: iters left: 6 (13 enodes) 1544005342.705 * * [misc]simplify: iters left: 5 (21 enodes) 1544005342.708 * * [misc]simplify: iters left: 4 (27 enodes) 1544005342.712 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.715 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005342.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (/ 1 1) 1)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005342.715 * * * * [misc]progress: [ 199 / 451 ] simplifiying candidate # 1544005342.716 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005342.716 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.718 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.721 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.725 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.728 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.729 * * * * [misc]progress: [ 200 / 451 ] simplifiying candidate # 1544005342.729 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005342.729 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.731 * * [misc]simplify: iters left: 5 (23 enodes) 1544005342.734 * * [misc]simplify: iters left: 4 (32 enodes) 1544005342.738 * * [misc]simplify: iters left: 3 (33 enodes) 1544005342.742 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.742 * * * * [misc]progress: [ 201 / 451 ] simplifiying candidate # 1544005342.742 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.743 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.746 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.753 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.761 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.769 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.769 * * * * [misc]progress: [ 202 / 451 ] simplifiying candidate # 1544005342.770 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005342.770 * * [misc]simplify: iters left: 6 (13 enodes) 1544005342.775 * * [misc]simplify: iters left: 5 (21 enodes) 1544005342.781 * * [misc]simplify: iters left: 4 (27 enodes) 1544005342.788 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.795 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005342.795 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt 1))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005342.795 * * * * [misc]progress: [ 203 / 451 ] simplifiying candidate # 1544005342.796 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.796 * * [misc]simplify: iters left: 6 (14 enodes) 1544005342.800 * * [misc]simplify: iters left: 5 (22 enodes) 1544005342.803 * * [misc]simplify: iters left: 4 (31 enodes) 1544005342.807 * * [misc]simplify: iters left: 3 (32 enodes) 1544005342.811 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005342.811 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544005342.811 * * * * [misc]progress: [ 204 / 451 ] simplifiying candidate # 1544005342.811 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005342.811 * * [misc]simplify: iters left: 6 (13 enodes) 1544005342.813 * * [misc]simplify: iters left: 5 (21 enodes) 1544005342.816 * * [misc]simplify: iters left: 4 (27 enodes) 1544005342.820 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.824 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005342.824 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ 1 1)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005342.824 * * * * [misc]progress: [ 205 / 451 ] simplifiying candidate # 1544005342.824 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005342.824 * * [misc]simplify: iters left: 6 (7 enodes) 1544005342.825 * * [misc]simplify: iters left: 5 (11 enodes) 1544005342.826 * * [misc]simplify: iters left: 4 (14 enodes) 1544005342.828 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005342.828 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544005342.828 * * * * [misc]progress: [ 206 / 451 ] simplifiying candidate # 1544005342.828 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005342.828 * * [misc]simplify: iters left: 6 (8 enodes) 1544005342.830 * * [misc]simplify: iters left: 5 (12 enodes) 1544005342.831 * * [misc]simplify: iters left: 4 (15 enodes) 1544005342.835 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005342.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544005342.835 * * * * [misc]progress: [ 207 / 451 ] simplifiying candidate # 1544005342.835 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.835 * * [misc]simplify: iters left: 6 (7 enodes) 1544005342.838 * * [misc]simplify: iters left: 5 (11 enodes) 1544005342.841 * * [misc]simplify: iters left: 4 (14 enodes) 1544005342.844 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.844 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544005342.844 * * * * [misc]progress: [ 208 / 451 ] simplifiying candidate # 1544005342.845 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005342.845 * * [misc]simplify: iters left: 6 (6 enodes) 1544005342.847 * * [misc]simplify: iters left: 5 (10 enodes) 1544005342.849 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544005342.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt 1))) (/ 1 (sqrt k)))) 1544005342.850 * * * * [misc]progress: [ 209 / 451 ] simplifiying candidate # 1544005342.850 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.850 * * [misc]simplify: iters left: 6 (7 enodes) 1544005342.852 * * [misc]simplify: iters left: 5 (11 enodes) 1544005342.855 * * [misc]simplify: iters left: 4 (14 enodes) 1544005342.858 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005342.859 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544005342.859 * * * * [misc]progress: [ 210 / 451 ] simplifiying candidate # 1544005342.859 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005342.859 * * [misc]simplify: iters left: 6 (6 enodes) 1544005342.860 * * [misc]simplify: iters left: 5 (10 enodes) 1544005342.861 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544005342.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) 1)) (/ 1 (sqrt k)))) 1544005342.861 * * * * [misc]progress: [ 211 / 451 ] simplifiying candidate # 1544005342.861 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005342.862 * * [misc]simplify: iters left: 6 (13 enodes) 1544005342.864 * * [misc]simplify: iters left: 5 (21 enodes) 1544005342.866 * * [misc]simplify: iters left: 4 (27 enodes) 1544005342.870 * * [misc]simplify: iters left: 3 (30 enodes) 1544005342.875 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005342.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) 1) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544005342.875 * * * * [misc]progress: [ 212 / 451 ] simplifiying candidate # 1544005342.875 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544005342.875 * * [misc]simplify: iters left: 4 (5 enodes) 1544005342.876 * * [misc]simplify: iters left: 3 (7 enodes) 1544005342.877 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544005342.877 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))))) 1544005342.877 * * * * [misc]progress: [ 213 / 451 ] simplifiying candidate # 1544005342.877 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) 1544005342.877 * * [misc]simplify: iters left: 6 (8 enodes) 1544005342.878 * * [misc]simplify: iters left: 5 (12 enodes) 1544005342.880 * * [misc]simplify: iters left: 4 (18 enodes) 1544005342.882 * * [misc]simplify: iters left: 3 (20 enodes) 1544005342.885 * [exit]simplify: Simplified to (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) 1544005342.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* PI (* n 2)))) (cbrt (sqrt (* PI (* n 2))))) (* (cbrt (sqrt (* (* PI 2) n))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005342.885 * * * * [misc]progress: [ 214 / 451 ] simplifiying candidate # 1544005342.885 * [enter]simplify: Simplifying (sqrt (* PI 2)) 1544005342.885 * * [misc]simplify: iters left: 3 (4 enodes) 1544005342.886 * * [misc]simplify: iters left: 2 (5 enodes) 1544005342.886 * [exit]simplify: Simplified to (sqrt (* PI 2)) 1544005342.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* PI 2)) (* (sqrt n) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005342.886 * * * * [misc]progress: [ 215 / 451 ] simplifiying candidate # 1544005342.887 * [enter]simplify: Simplifying (sqrt (sqrt (* (* PI 2) n))) 1544005342.887 * * [misc]simplify: iters left: 6 (7 enodes) 1544005342.888 * * [misc]simplify: iters left: 5 (11 enodes) 1544005342.889 * * [misc]simplify: iters left: 4 (17 enodes) 1544005342.892 * * [misc]simplify: iters left: 3 (19 enodes) 1544005342.896 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI 2) n))) 1544005342.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI 2) n))) (* (sqrt (sqrt (* (* PI 2) n))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005342.897 * * * * [misc]progress: [ 216 / 451 ] simplifiying candidate # 1544005342.897 * * * * [misc]progress: [ 217 / 451 ] simplifiying candidate # 1544005342.897 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544005342.897 * * [misc]simplify: iters left: 2 (3 enodes) 1544005342.898 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544005342.898 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544005342.898 * * * * [misc]progress: [ 218 / 451 ] simplifiying candidate # 1544005342.898 * * * * [misc]progress: [ 219 / 451 ] simplifiying candidate # 1544005342.898 * * * * [misc]progress: [ 220 / 451 ] simplifiying candidate # 1544005342.898 * * * * [misc]progress: [ 221 / 451 ] simplifiying candidate # 1544005342.898 * * * * [misc]progress: [ 222 / 451 ] simplifiying candidate # 1544005342.899 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544005342.899 * * [misc]simplify: iters left: 6 (15 enodes) 1544005342.904 * * [misc]simplify: iters left: 5 (33 enodes) 1544005342.915 * * [misc]simplify: iters left: 4 (74 enodes) 1544005342.947 * * [misc]simplify: iters left: 3 (195 enodes) 1544005343.021 * [exit]simplify: Simplified to (- (- (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt (sqrt k))))) 1544005343.021 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (- (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt (sqrt k)))))))) 1544005343.021 * * * * [misc]progress: [ 223 / 451 ] simplifiying candidate # 1544005343.022 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (- (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544005343.022 * * [misc]simplify: iters left: 6 (15 enodes) 1544005343.027 * * [misc]simplify: iters left: 5 (33 enodes) 1544005343.038 * * [misc]simplify: iters left: 4 (74 enodes) 1544005343.071 * * [misc]simplify: iters left: 3 (195 enodes) 1544005343.153 * [exit]simplify: Simplified to (- (- (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt (sqrt k))))) 1544005343.153 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (- (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt (sqrt k)))))))) 1544005343.153 * * * * [misc]progress: [ 224 / 451 ] simplifiying candidate # 1544005343.154 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) (- (/ k 2)))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544005343.154 * * [misc]simplify: iters left: 6 (15 enodes) 1544005343.159 * * [misc]simplify: iters left: 5 (28 enodes) 1544005343.168 * * [misc]simplify: iters left: 4 (57 enodes) 1544005343.185 * * [misc]simplify: iters left: 3 (137 enodes) 1544005343.244 * * [misc]simplify: iters left: 2 (451 enodes) 1544005343.460 * [exit]simplify: Simplified to (- (- (log (sqrt (sqrt k)))) (fma (log (* (* 2 n) PI)) (/ k 2) (log (sqrt (sqrt k))))) 1544005343.460 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (- (log (sqrt (sqrt k)))) (fma (log (* (* 2 n) PI)) (/ k 2) (log (sqrt (sqrt k)))))))) 1544005343.460 * * * * [misc]progress: [ 225 / 451 ] simplifiying candidate # 1544005343.460 * [enter]simplify: Simplifying (- (log (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544005343.460 * * [misc]simplify: iters left: 6 (15 enodes) 1544005343.463 * * [misc]simplify: iters left: 5 (25 enodes) 1544005343.466 * * [misc]simplify: iters left: 4 (39 enodes) 1544005343.473 * * [misc]simplify: iters left: 3 (74 enodes) 1544005343.486 * * [misc]simplify: iters left: 2 (215 enodes) 1544005343.597 * [exit]simplify: Simplified to (- (* (log (* (* PI 2) n)) (- (/ k 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544005343.597 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (exp (- (* (log (* (* PI 2) n)) (- (/ k 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))))))) 1544005343.597 * * * * [misc]progress: [ 226 / 451 ] simplifiying candidate # 1544005343.597 * * * * [misc]progress: [ 227 / 451 ] simplifiying candidate # 1544005343.597 * * * * [misc]progress: [ 228 / 451 ] simplifiying candidate # 1544005343.597 * [enter]simplify: Simplifying (/ (/ (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544005343.597 * * [misc]simplify: iters left: 6 (17 enodes) 1544005343.604 * * [misc]simplify: iters left: 5 (36 enodes) 1544005343.617 * * [misc]simplify: iters left: 4 (103 enodes) 1544005343.661 * * [misc]simplify: iters left: 3 (292 enodes) 1544005343.817 * [exit]simplify: Simplified to (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* k (sqrt k))) (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005343.817 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (cbrt (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* k (sqrt k))) (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1544005343.817 * * * * [misc]progress: [ 229 / 451 ] simplifiying candidate # 1544005343.817 * [enter]simplify: Simplifying (/ (* (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544005343.818 * * [misc]simplify: iters left: 6 (17 enodes) 1544005343.823 * * [misc]simplify: iters left: 5 (38 enodes) 1544005343.830 * * [misc]simplify: iters left: 4 (96 enodes) 1544005343.851 * * [misc]simplify: iters left: 3 (240 enodes) 1544005343.955 * * [misc]simplify: iters left: 2 (449 enodes) 1544005344.244 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005344.244 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (cbrt (/ (* (pow (* (* 2 n) PI) (- (/ k 2))) (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1544005344.244 * * * * [misc]progress: [ 230 / 451 ] simplifiying candidate # 1544005344.244 * * * * [misc]progress: [ 231 / 451 ] simplifiying candidate # 1544005344.244 * * * * [misc]progress: [ 232 / 451 ] simplifiying candidate # 1544005344.244 * * * * [misc]progress: [ 233 / 451 ] simplifiying candidate # 1544005344.244 * * * * [misc]progress: [ 234 / 451 ] simplifiying candidate # 1544005344.244 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005344.245 * * [misc]simplify: iters left: 6 (17 enodes) 1544005344.247 * * [misc]simplify: iters left: 5 (29 enodes) 1544005344.251 * * [misc]simplify: iters left: 4 (44 enodes) 1544005344.257 * * [misc]simplify: iters left: 3 (48 enodes) 1544005344.263 * * [misc]simplify: iters left: 2 (51 enodes) 1544005344.270 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1544005344.270 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005344.270 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005344.270 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.274 * * [misc]simplify: iters left: 5 (21 enodes) 1544005344.280 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.287 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.294 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005344.294 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005344.295 * * * * [misc]progress: [ 235 / 451 ] simplifiying candidate # 1544005344.295 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005344.295 * * [misc]simplify: iters left: 6 (18 enodes) 1544005344.301 * * [misc]simplify: iters left: 5 (27 enodes) 1544005344.308 * * [misc]simplify: iters left: 4 (35 enodes) 1544005344.317 * * [misc]simplify: iters left: 3 (37 enodes) 1544005344.329 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005344.330 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005344.330 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005344.330 * * [misc]simplify: iters left: 6 (16 enodes) 1544005344.335 * * [misc]simplify: iters left: 5 (22 enodes) 1544005344.341 * * [misc]simplify: iters left: 4 (28 enodes) 1544005344.349 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.356 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005344.356 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005344.356 * * * * [misc]progress: [ 236 / 451 ] simplifiying candidate # 1544005344.357 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005344.357 * * [misc]simplify: iters left: 6 (16 enodes) 1544005344.362 * * [misc]simplify: iters left: 5 (24 enodes) 1544005344.369 * * [misc]simplify: iters left: 4 (32 enodes) 1544005344.378 * * [misc]simplify: iters left: 3 (35 enodes) 1544005344.385 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544005344.385 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.385 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.385 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.388 * * [misc]simplify: iters left: 5 (21 enodes) 1544005344.391 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.394 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.398 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.398 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.398 * * * * [misc]progress: [ 237 / 451 ] simplifiying candidate # 1544005344.398 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt 1)) 1544005344.398 * * [misc]simplify: iters left: 6 (17 enodes) 1544005344.401 * * [misc]simplify: iters left: 5 (27 enodes) 1544005344.405 * * [misc]simplify: iters left: 4 (35 enodes) 1544005344.409 * * [misc]simplify: iters left: 3 (36 enodes) 1544005344.414 * * [misc]simplify: iters left: 2 (42 enodes) 1544005344.421 * * [misc]simplify: iters left: 1 (44 enodes) 1544005344.429 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544005344.429 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.429 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.429 * * [misc]simplify: iters left: 6 (14 enodes) 1544005344.431 * * [misc]simplify: iters left: 5 (20 enodes) 1544005344.435 * * [misc]simplify: iters left: 4 (26 enodes) 1544005344.439 * * [misc]simplify: iters left: 3 (28 enodes) 1544005344.442 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.442 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.442 * * * * [misc]progress: [ 238 / 451 ] simplifiying candidate # 1544005344.443 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005344.443 * * [misc]simplify: iters left: 6 (16 enodes) 1544005344.445 * * [misc]simplify: iters left: 5 (24 enodes) 1544005344.448 * * [misc]simplify: iters left: 4 (32 enodes) 1544005344.453 * * [misc]simplify: iters left: 3 (35 enodes) 1544005344.458 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544005344.458 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.458 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.458 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.461 * * [misc]simplify: iters left: 5 (21 enodes) 1544005344.467 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.473 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.476 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.476 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.476 * * * * [misc]progress: [ 239 / 451 ] simplifiying candidate # 1544005344.477 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1) 1544005344.477 * * [misc]simplify: iters left: 6 (16 enodes) 1544005344.479 * * [misc]simplify: iters left: 5 (26 enodes) 1544005344.483 * * [misc]simplify: iters left: 4 (38 enodes) 1544005344.488 * * [misc]simplify: iters left: 3 (53 enodes) 1544005344.495 * * [misc]simplify: iters left: 2 (79 enodes) 1544005344.507 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))))) 1544005344.507 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.507 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.508 * * [misc]simplify: iters left: 6 (14 enodes) 1544005344.512 * * [misc]simplify: iters left: 5 (20 enodes) 1544005344.518 * * [misc]simplify: iters left: 4 (26 enodes) 1544005344.526 * * [misc]simplify: iters left: 3 (28 enodes) 1544005344.533 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.533 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.533 * * * * [misc]progress: [ 240 / 451 ] simplifiying candidate # 1544005344.533 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005344.533 * * [misc]simplify: iters left: 6 (16 enodes) 1544005344.535 * * [misc]simplify: iters left: 5 (24 enodes) 1544005344.539 * * [misc]simplify: iters left: 4 (30 enodes) 1544005344.544 * * [misc]simplify: iters left: 3 (32 enodes) 1544005344.548 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005344.548 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005344.548 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005344.548 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.552 * * [misc]simplify: iters left: 5 (21 enodes) 1544005344.558 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.565 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.573 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005344.573 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005344.573 * * * * [misc]progress: [ 241 / 451 ] simplifiying candidate # 1544005344.573 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005344.574 * * [misc]simplify: iters left: 6 (17 enodes) 1544005344.579 * * [misc]simplify: iters left: 5 (24 enodes) 1544005344.585 * * [misc]simplify: iters left: 4 (30 enodes) 1544005344.593 * * [misc]simplify: iters left: 3 (32 enodes) 1544005344.602 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544005344.602 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005344.603 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005344.603 * * [misc]simplify: iters left: 6 (16 enodes) 1544005344.608 * * [misc]simplify: iters left: 5 (22 enodes) 1544005344.614 * * [misc]simplify: iters left: 4 (28 enodes) 1544005344.621 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.629 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005344.629 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005344.629 * * * * [misc]progress: [ 242 / 451 ] simplifiying candidate # 1544005344.629 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.629 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.634 * * [misc]simplify: iters left: 5 (21 enodes) 1544005344.640 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.648 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.656 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.656 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.657 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.657 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.662 * * [misc]simplify: iters left: 5 (21 enodes) 1544005344.668 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.675 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.681 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.681 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.681 * * * * [misc]progress: [ 243 / 451 ] simplifiying candidate # 1544005344.681 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt 1)) 1544005344.681 * * [misc]simplify: iters left: 6 (16 enodes) 1544005344.684 * * [misc]simplify: iters left: 5 (24 enodes) 1544005344.687 * * [misc]simplify: iters left: 4 (30 enodes) 1544005344.692 * * [misc]simplify: iters left: 3 (34 enodes) 1544005344.695 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1544005344.695 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.696 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.696 * * [misc]simplify: iters left: 6 (14 enodes) 1544005344.698 * * [misc]simplify: iters left: 5 (20 enodes) 1544005344.700 * * [misc]simplify: iters left: 4 (26 enodes) 1544005344.704 * * [misc]simplify: iters left: 3 (28 enodes) 1544005344.708 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.708 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.708 * * * * [misc]progress: [ 244 / 451 ] simplifiying candidate # 1544005344.709 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.709 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.713 * * [misc]simplify: iters left: 5 (21 enodes) 1544005344.719 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.727 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.734 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.734 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.735 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.735 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.739 * * [misc]simplify: iters left: 5 (21 enodes) 1544005344.745 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.753 * * [misc]simplify: iters left: 3 (29 enodes) 1544005344.761 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.761 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.761 * * * * [misc]progress: [ 245 / 451 ] simplifiying candidate # 1544005344.761 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1) 1544005344.761 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.766 * * [misc]simplify: iters left: 5 (23 enodes) 1544005344.774 * * [misc]simplify: iters left: 4 (31 enodes) 1544005344.781 * * [misc]simplify: iters left: 3 (32 enodes) 1544005344.786 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1544005344.786 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.786 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.786 * * [misc]simplify: iters left: 6 (14 enodes) 1544005344.788 * * [misc]simplify: iters left: 5 (20 enodes) 1544005344.791 * * [misc]simplify: iters left: 4 (26 enodes) 1544005344.794 * * [misc]simplify: iters left: 3 (28 enodes) 1544005344.798 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.798 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.798 * * * * [misc]progress: [ 246 / 451 ] simplifiying candidate # 1544005344.798 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005344.798 * * [misc]simplify: iters left: 6 (12 enodes) 1544005344.800 * * [misc]simplify: iters left: 5 (20 enodes) 1544005344.803 * * [misc]simplify: iters left: 4 (26 enodes) 1544005344.810 * * [misc]simplify: iters left: 3 (28 enodes) 1544005344.818 * * [misc]simplify: iters left: 2 (32 enodes) 1544005344.826 * * [misc]simplify: iters left: 1 (34 enodes) 1544005344.834 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005344.834 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005344.835 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005344.835 * * [misc]simplify: iters left: 6 (12 enodes) 1544005344.838 * * [misc]simplify: iters left: 5 (17 enodes) 1544005344.843 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005344.844 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005344.844 * * * * [misc]progress: [ 247 / 451 ] simplifiying candidate # 1544005344.844 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005344.844 * * [misc]simplify: iters left: 6 (15 enodes) 1544005344.849 * * [misc]simplify: iters left: 5 (22 enodes) 1544005344.855 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.863 * * [misc]simplify: iters left: 3 (30 enodes) 1544005344.871 * * [misc]simplify: iters left: 2 (36 enodes) 1544005344.876 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005344.876 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005344.876 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005344.876 * * [misc]simplify: iters left: 6 (14 enodes) 1544005344.878 * * [misc]simplify: iters left: 5 (19 enodes) 1544005344.881 * * [misc]simplify: iters left: 4 (22 enodes) 1544005344.884 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005344.884 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544005344.884 * * * * [misc]progress: [ 248 / 451 ] simplifiying candidate # 1544005344.884 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005344.884 * * [misc]simplify: iters left: 6 (13 enodes) 1544005344.887 * * [misc]simplify: iters left: 5 (19 enodes) 1544005344.890 * * [misc]simplify: iters left: 4 (24 enodes) 1544005344.893 * * [misc]simplify: iters left: 3 (27 enodes) 1544005344.896 * * [misc]simplify: iters left: 2 (33 enodes) 1544005344.901 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005344.901 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.901 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.901 * * [misc]simplify: iters left: 6 (13 enodes) 1544005344.903 * * [misc]simplify: iters left: 5 (18 enodes) 1544005344.905 * * [misc]simplify: iters left: 4 (21 enodes) 1544005344.908 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005344.908 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005344.908 * * * * [misc]progress: [ 249 / 451 ] simplifiying candidate # 1544005344.909 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544005344.909 * * [misc]simplify: iters left: 6 (14 enodes) 1544005344.911 * * [misc]simplify: iters left: 5 (22 enodes) 1544005344.914 * * [misc]simplify: iters left: 4 (27 enodes) 1544005344.918 * * [misc]simplify: iters left: 3 (30 enodes) 1544005344.921 * * [misc]simplify: iters left: 2 (35 enodes) 1544005344.925 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005344.925 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.926 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.926 * * [misc]simplify: iters left: 6 (12 enodes) 1544005344.928 * * [misc]simplify: iters left: 5 (17 enodes) 1544005344.930 * * [misc]simplify: iters left: 4 (20 enodes) 1544005344.933 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005344.933 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005344.933 * * * * [misc]progress: [ 250 / 451 ] simplifiying candidate # 1544005344.933 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005344.933 * * [misc]simplify: iters left: 6 (13 enodes) 1544005344.935 * * [misc]simplify: iters left: 5 (19 enodes) 1544005344.938 * * [misc]simplify: iters left: 4 (24 enodes) 1544005344.941 * * [misc]simplify: iters left: 3 (27 enodes) 1544005344.946 * * [misc]simplify: iters left: 2 (33 enodes) 1544005344.955 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005344.955 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005344.956 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005344.956 * * [misc]simplify: iters left: 6 (13 enodes) 1544005344.959 * * [misc]simplify: iters left: 5 (18 enodes) 1544005344.965 * * [misc]simplify: iters left: 4 (21 enodes) 1544005344.970 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005344.970 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005344.970 * * * * [misc]progress: [ 251 / 451 ] simplifiying candidate # 1544005344.971 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544005344.971 * * [misc]simplify: iters left: 6 (13 enodes) 1544005344.974 * * [misc]simplify: iters left: 5 (21 enodes) 1544005344.981 * * [misc]simplify: iters left: 4 (26 enodes) 1544005344.988 * * [misc]simplify: iters left: 3 (31 enodes) 1544005344.994 * * [misc]simplify: iters left: 2 (36 enodes) 1544005345.000 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.000 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.000 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.001 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.002 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.005 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.007 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.007 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.007 * * * * [misc]progress: [ 252 / 451 ] simplifiying candidate # 1544005345.008 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.008 * * [misc]simplify: iters left: 6 (15 enodes) 1544005345.010 * * [misc]simplify: iters left: 5 (22 enodes) 1544005345.013 * * [misc]simplify: iters left: 4 (28 enodes) 1544005345.017 * * [misc]simplify: iters left: 3 (33 enodes) 1544005345.023 * * [misc]simplify: iters left: 2 (34 enodes) 1544005345.032 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.032 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005345.033 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005345.033 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.037 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.042 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.048 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.048 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005345.048 * * * * [misc]progress: [ 253 / 451 ] simplifiying candidate # 1544005345.048 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005345.048 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.051 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.056 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005345.056 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005345.056 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005345.057 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.060 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.065 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544005345.065 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1544005345.065 * * * * [misc]progress: [ 254 / 451 ] simplifiying candidate # 1544005345.066 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005345.066 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.070 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.075 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.081 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005345.081 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005345.082 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.082 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.086 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.090 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.096 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005345.096 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005345.096 * * * * [misc]progress: [ 255 / 451 ] simplifiying candidate # 1544005345.096 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544005345.097 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.102 * * [misc]simplify: iters left: 5 (21 enodes) 1544005345.108 * * [misc]simplify: iters left: 4 (24 enodes) 1544005345.114 * * [misc]simplify: iters left: 3 (28 enodes) 1544005345.120 * * [misc]simplify: iters left: 2 (29 enodes) 1544005345.125 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544005345.126 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.126 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.126 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.130 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.135 * * [misc]simplify: iters left: 4 (21 enodes) 1544005345.141 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544005345.141 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))))))) 1544005345.141 * * * * [misc]progress: [ 256 / 451 ] simplifiying candidate # 1544005345.142 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005345.142 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.146 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.149 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.152 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005345.152 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005345.153 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.153 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.155 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.157 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.160 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005345.160 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005345.160 * * * * [misc]progress: [ 257 / 451 ] simplifiying candidate # 1544005345.160 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544005345.161 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.162 * * [misc]simplify: iters left: 5 (20 enodes) 1544005345.167 * * [misc]simplify: iters left: 4 (23 enodes) 1544005345.174 * * [misc]simplify: iters left: 3 (28 enodes) 1544005345.180 * * [misc]simplify: iters left: 2 (29 enodes) 1544005345.185 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544005345.185 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.186 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.186 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.190 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.195 * * [misc]simplify: iters left: 4 (21 enodes) 1544005345.201 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544005345.201 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k)))))))) 1544005345.201 * * * * [misc]progress: [ 258 / 451 ] simplifiying candidate # 1544005345.202 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.202 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.206 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.212 * * [misc]simplify: iters left: 4 (25 enodes) 1544005345.219 * * [misc]simplify: iters left: 3 (30 enodes) 1544005345.227 * * [misc]simplify: iters left: 2 (31 enodes) 1544005345.235 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.236 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005345.236 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005345.236 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.242 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.247 * * [misc]simplify: iters left: 4 (21 enodes) 1544005345.253 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005345.253 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005345.253 * * * * [misc]progress: [ 259 / 451 ] simplifiying candidate # 1544005345.253 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005345.253 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.258 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.263 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.266 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.266 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005345.266 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005345.266 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.268 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.271 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.274 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005345.274 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544005345.274 * * * * [misc]progress: [ 260 / 451 ] simplifiying candidate # 1544005345.275 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.275 * * [misc]simplify: iters left: 6 (11 enodes) 1544005345.276 * * [misc]simplify: iters left: 5 (15 enodes) 1544005345.278 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544005345.278 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005345.279 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.279 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.280 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.283 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005345.283 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005345.283 * * * * [misc]progress: [ 261 / 451 ] simplifiying candidate # 1544005345.283 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544005345.283 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.286 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.288 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.291 * * [misc]simplify: iters left: 3 (26 enodes) 1544005345.294 * * [misc]simplify: iters left: 2 (27 enodes) 1544005345.296 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005345.296 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.297 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.297 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.298 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.302 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.308 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.308 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.308 * * * * [misc]progress: [ 262 / 451 ] simplifiying candidate # 1544005345.309 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.309 * * [misc]simplify: iters left: 6 (11 enodes) 1544005345.312 * * [misc]simplify: iters left: 5 (15 enodes) 1544005345.316 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544005345.317 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005345.317 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.317 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.321 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.326 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005345.326 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005345.326 * * * * [misc]progress: [ 263 / 451 ] simplifiying candidate # 1544005345.326 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1) 1544005345.327 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.329 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.331 * * [misc]simplify: iters left: 4 (21 enodes) 1544005345.334 * * [misc]simplify: iters left: 3 (25 enodes) 1544005345.337 * * [misc]simplify: iters left: 2 (26 enodes) 1544005345.339 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005345.339 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.339 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.340 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.341 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.345 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.348 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.348 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.348 * * * * [misc]progress: [ 264 / 451 ] simplifiying candidate # 1544005345.348 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.348 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.351 * * [misc]simplify: iters left: 5 (22 enodes) 1544005345.353 * * [misc]simplify: iters left: 4 (27 enodes) 1544005345.358 * * [misc]simplify: iters left: 3 (41 enodes) 1544005345.362 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005345.362 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005345.362 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005345.363 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.365 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.370 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.376 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005345.376 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005345.377 * * * * [misc]progress: [ 265 / 451 ] simplifiying candidate # 1544005345.377 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005345.377 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.382 * * [misc]simplify: iters left: 5 (21 enodes) 1544005345.387 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.394 * * [misc]simplify: iters left: 3 (26 enodes) 1544005345.399 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544005345.399 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005345.399 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005345.400 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.404 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.409 * * [misc]simplify: iters left: 4 (21 enodes) 1544005345.414 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005345.414 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005345.415 * * * * [misc]progress: [ 266 / 451 ] simplifiying candidate # 1544005345.415 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544005345.415 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.419 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.422 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.425 * * [misc]simplify: iters left: 3 (24 enodes) 1544005345.428 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005345.428 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005345.428 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005345.428 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.430 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.432 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.435 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005345.435 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005345.435 * * * * [misc]progress: [ 267 / 451 ] simplifiying candidate # 1544005345.435 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt 1)) 1544005345.435 * * [misc]simplify: iters left: 6 (10 enodes) 1544005345.437 * * [misc]simplify: iters left: 5 (16 enodes) 1544005345.439 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544005345.440 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005345.440 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005345.440 * * [misc]simplify: iters left: 6 (11 enodes) 1544005345.441 * * [misc]simplify: iters left: 5 (16 enodes) 1544005345.444 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005345.444 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544005345.444 * * * * [misc]progress: [ 268 / 451 ] simplifiying candidate # 1544005345.444 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544005345.444 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.446 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.450 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.455 * * [misc]simplify: iters left: 3 (24 enodes) 1544005345.460 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005345.460 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005345.460 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005345.460 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.464 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.469 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.475 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005345.475 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005345.475 * * * * [misc]progress: [ 269 / 451 ] simplifiying candidate # 1544005345.475 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt 1)) 1) 1544005345.475 * * [misc]simplify: iters left: 6 (10 enodes) 1544005345.479 * * [misc]simplify: iters left: 5 (16 enodes) 1544005345.484 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544005345.484 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005345.484 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005345.484 * * [misc]simplify: iters left: 6 (11 enodes) 1544005345.487 * * [misc]simplify: iters left: 5 (16 enodes) 1544005345.492 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005345.492 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544005345.492 * * * * [misc]progress: [ 270 / 451 ] simplifiying candidate # 1544005345.493 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.493 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.497 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.503 * * [misc]simplify: iters left: 4 (25 enodes) 1544005345.510 * * [misc]simplify: iters left: 3 (30 enodes) 1544005345.518 * * [misc]simplify: iters left: 2 (31 enodes) 1544005345.526 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.526 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005345.526 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005345.526 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.530 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.536 * * [misc]simplify: iters left: 4 (21 enodes) 1544005345.542 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005345.542 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005345.542 * * * * [misc]progress: [ 271 / 451 ] simplifiying candidate # 1544005345.542 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005345.543 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.547 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.552 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.559 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.559 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005345.559 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005345.559 * * [misc]simplify: iters left: 6 (14 enodes) 1544005345.564 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.569 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.576 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005345.576 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544005345.576 * * * * [misc]progress: [ 272 / 451 ] simplifiying candidate # 1544005345.576 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.576 * * [misc]simplify: iters left: 6 (11 enodes) 1544005345.579 * * [misc]simplify: iters left: 5 (15 enodes) 1544005345.582 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544005345.582 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005345.582 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.582 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.584 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.586 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005345.586 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005345.586 * * * * [misc]progress: [ 273 / 451 ] simplifiying candidate # 1544005345.586 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544005345.586 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.589 * * [misc]simplify: iters left: 5 (19 enodes) 1544005345.592 * * [misc]simplify: iters left: 4 (22 enodes) 1544005345.595 * * [misc]simplify: iters left: 3 (26 enodes) 1544005345.598 * * [misc]simplify: iters left: 2 (27 enodes) 1544005345.600 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005345.600 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.600 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.600 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.602 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.604 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.607 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.607 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.607 * * * * [misc]progress: [ 274 / 451 ] simplifiying candidate # 1544005345.607 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.607 * * [misc]simplify: iters left: 6 (11 enodes) 1544005345.609 * * [misc]simplify: iters left: 5 (15 enodes) 1544005345.611 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1544005345.611 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005345.611 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005345.611 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.613 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.616 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544005345.616 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005345.616 * * * * [misc]progress: [ 275 / 451 ] simplifiying candidate # 1544005345.616 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1) 1544005345.616 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.618 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.620 * * [misc]simplify: iters left: 4 (21 enodes) 1544005345.623 * * [misc]simplify: iters left: 3 (25 enodes) 1544005345.625 * * [misc]simplify: iters left: 2 (26 enodes) 1544005345.628 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005345.628 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.628 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.628 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.630 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.632 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.635 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005345.635 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005345.635 * * * * [misc]progress: [ 276 / 451 ] simplifiying candidate # 1544005345.635 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.635 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.637 * * [misc]simplify: iters left: 5 (21 enodes) 1544005345.641 * * [misc]simplify: iters left: 4 (29 enodes) 1544005345.644 * * [misc]simplify: iters left: 3 (38 enodes) 1544005345.649 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.649 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005345.649 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005345.649 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.651 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.653 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.656 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005345.656 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005345.656 * * * * [misc]progress: [ 277 / 451 ] simplifiying candidate # 1544005345.656 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005345.656 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.658 * * [misc]simplify: iters left: 5 (20 enodes) 1544005345.661 * * [misc]simplify: iters left: 4 (24 enodes) 1544005345.664 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544005345.664 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005345.665 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005345.665 * * [misc]simplify: iters left: 6 (13 enodes) 1544005345.667 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.670 * * [misc]simplify: iters left: 4 (21 enodes) 1544005345.673 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005345.673 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005345.673 * * * * [misc]progress: [ 278 / 451 ] simplifiying candidate # 1544005345.673 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (sqrt (sqrt k)))) 1544005345.673 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.675 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.678 * * [misc]simplify: iters left: 4 (23 enodes) 1544005345.680 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005345.680 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005345.681 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005345.681 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.682 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.686 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.692 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005345.692 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005345.692 * * * * [misc]progress: [ 279 / 451 ] simplifiying candidate # 1544005345.693 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (sqrt 1)) 1544005345.693 * * [misc]simplify: iters left: 6 (10 enodes) 1544005345.697 * * [misc]simplify: iters left: 5 (16 enodes) 1544005345.700 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544005345.700 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005345.701 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005345.701 * * [misc]simplify: iters left: 6 (11 enodes) 1544005345.704 * * [misc]simplify: iters left: 5 (16 enodes) 1544005345.709 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005345.709 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544005345.709 * * * * [misc]progress: [ 280 / 451 ] simplifiying candidate # 1544005345.709 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) (sqrt (sqrt (sqrt k)))) 1544005345.709 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.712 * * [misc]simplify: iters left: 5 (18 enodes) 1544005345.715 * * [misc]simplify: iters left: 4 (23 enodes) 1544005345.718 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005345.718 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005345.718 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005345.718 * * [misc]simplify: iters left: 6 (12 enodes) 1544005345.720 * * [misc]simplify: iters left: 5 (17 enodes) 1544005345.722 * * [misc]simplify: iters left: 4 (20 enodes) 1544005345.725 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005345.725 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005345.725 * * * * [misc]progress: [ 281 / 451 ] simplifiying candidate # 1544005345.725 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) 1) 1) 1544005345.725 * * [misc]simplify: iters left: 6 (9 enodes) 1544005345.726 * * [misc]simplify: iters left: 5 (13 enodes) 1544005345.728 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1544005345.728 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (- (/ k 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005345.728 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005345.728 * * [misc]simplify: iters left: 6 (11 enodes) 1544005345.730 * * [misc]simplify: iters left: 5 (16 enodes) 1544005345.732 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544005345.732 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544005345.732 * * * * [misc]progress: [ 282 / 451 ] simplifiying candidate # 1544005345.732 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.733 * * [misc]simplify: iters left: 6 (17 enodes) 1544005345.735 * * [misc]simplify: iters left: 5 (33 enodes) 1544005345.741 * * [misc]simplify: iters left: 4 (64 enodes) 1544005345.751 * * [misc]simplify: iters left: 3 (102 enodes) 1544005345.769 * * [misc]simplify: iters left: 2 (137 enodes) 1544005345.805 * * [misc]simplify: iters left: 1 (150 enodes) 1544005345.833 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544005345.834 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005345.834 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005345.834 * * [misc]simplify: iters left: 6 (15 enodes) 1544005345.836 * * [misc]simplify: iters left: 5 (23 enodes) 1544005345.839 * * [misc]simplify: iters left: 4 (29 enodes) 1544005345.843 * * [misc]simplify: iters left: 3 (30 enodes) 1544005345.847 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.847 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005345.847 * * * * [misc]progress: [ 283 / 451 ] simplifiying candidate # 1544005345.847 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005345.848 * * [misc]simplify: iters left: 6 (20 enodes) 1544005345.852 * * [misc]simplify: iters left: 5 (35 enodes) 1544005345.857 * * [misc]simplify: iters left: 4 (61 enodes) 1544005345.873 * * [misc]simplify: iters left: 3 (93 enodes) 1544005345.899 * * [misc]simplify: iters left: 2 (127 enodes) 1544005345.917 * * [misc]simplify: iters left: 1 (144 enodes) 1544005345.946 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1544005345.946 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005345.946 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005345.946 * * [misc]simplify: iters left: 6 (17 enodes) 1544005345.948 * * [misc]simplify: iters left: 5 (25 enodes) 1544005345.952 * * [misc]simplify: iters left: 4 (34 enodes) 1544005345.957 * * [misc]simplify: iters left: 3 (36 enodes) 1544005345.961 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005345.961 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005345.961 * * * * [misc]progress: [ 284 / 451 ] simplifiying candidate # 1544005345.961 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005345.962 * * [misc]simplify: iters left: 6 (18 enodes) 1544005345.964 * * [misc]simplify: iters left: 5 (32 enodes) 1544005345.969 * * [misc]simplify: iters left: 4 (58 enodes) 1544005345.978 * * [misc]simplify: iters left: 3 (90 enodes) 1544005345.991 * * [misc]simplify: iters left: 2 (123 enodes) 1544005346.013 * * [misc]simplify: iters left: 1 (142 enodes) 1544005346.058 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544005346.058 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005346.059 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005346.059 * * [misc]simplify: iters left: 6 (16 enodes) 1544005346.063 * * [misc]simplify: iters left: 5 (24 enodes) 1544005346.067 * * [misc]simplify: iters left: 4 (33 enodes) 1544005346.071 * * [misc]simplify: iters left: 3 (35 enodes) 1544005346.075 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005346.075 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005346.075 * * * * [misc]progress: [ 285 / 451 ] simplifiying candidate # 1544005346.076 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544005346.076 * * [misc]simplify: iters left: 6 (19 enodes) 1544005346.079 * * [misc]simplify: iters left: 5 (35 enodes) 1544005346.084 * * [misc]simplify: iters left: 4 (58 enodes) 1544005346.093 * * [misc]simplify: iters left: 3 (94 enodes) 1544005346.135 * * [misc]simplify: iters left: 2 (289 enodes) 1544005346.270 * * [misc]simplify: iters left: 1 (391 enodes) 1544005346.325 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544005346.325 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005346.326 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005346.326 * * [misc]simplify: iters left: 6 (15 enodes) 1544005346.330 * * [misc]simplify: iters left: 5 (23 enodes) 1544005346.337 * * [misc]simplify: iters left: 4 (32 enodes) 1544005346.346 * * [misc]simplify: iters left: 3 (33 enodes) 1544005346.354 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005346.354 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544005346.354 * * * * [misc]progress: [ 286 / 451 ] simplifiying candidate # 1544005346.355 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005346.355 * * [misc]simplify: iters left: 6 (18 enodes) 1544005346.361 * * [misc]simplify: iters left: 5 (32 enodes) 1544005346.370 * * [misc]simplify: iters left: 4 (58 enodes) 1544005346.387 * * [misc]simplify: iters left: 3 (90 enodes) 1544005346.401 * * [misc]simplify: iters left: 2 (123 enodes) 1544005346.420 * * [misc]simplify: iters left: 1 (142 enodes) 1544005346.462 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544005346.462 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005346.462 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005346.462 * * [misc]simplify: iters left: 6 (16 enodes) 1544005346.467 * * [misc]simplify: iters left: 5 (24 enodes) 1544005346.474 * * [misc]simplify: iters left: 4 (33 enodes) 1544005346.482 * * [misc]simplify: iters left: 3 (35 enodes) 1544005346.491 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005346.491 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005346.491 * * * * [misc]progress: [ 287 / 451 ] simplifiying candidate # 1544005346.492 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544005346.492 * * [misc]simplify: iters left: 6 (18 enodes) 1544005346.498 * * [misc]simplify: iters left: 5 (34 enodes) 1544005346.504 * * [misc]simplify: iters left: 4 (59 enodes) 1544005346.514 * * [misc]simplify: iters left: 3 (99 enodes) 1544005346.544 * * [misc]simplify: iters left: 2 (282 enodes) 1544005346.664 * * [misc]simplify: iters left: 1 (365 enodes) 1544005346.716 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544005346.717 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005346.717 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005346.717 * * [misc]simplify: iters left: 6 (15 enodes) 1544005346.719 * * [misc]simplify: iters left: 5 (23 enodes) 1544005346.722 * * [misc]simplify: iters left: 4 (32 enodes) 1544005346.726 * * [misc]simplify: iters left: 3 (33 enodes) 1544005346.730 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005346.730 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544005346.730 * * * * [misc]progress: [ 288 / 451 ] simplifiying candidate # 1544005346.731 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005346.731 * * [misc]simplify: iters left: 6 (20 enodes) 1544005346.734 * * [misc]simplify: iters left: 5 (33 enodes) 1544005346.739 * * [misc]simplify: iters left: 4 (53 enodes) 1544005346.749 * * [misc]simplify: iters left: 3 (89 enodes) 1544005346.774 * * [misc]simplify: iters left: 2 (130 enodes) 1544005346.793 * * [misc]simplify: iters left: 1 (149 enodes) 1544005346.831 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544005346.831 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005346.831 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005346.831 * * [misc]simplify: iters left: 6 (17 enodes) 1544005346.836 * * [misc]simplify: iters left: 5 (25 enodes) 1544005346.844 * * [misc]simplify: iters left: 4 (34 enodes) 1544005346.853 * * [misc]simplify: iters left: 3 (36 enodes) 1544005346.859 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005346.859 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544005346.859 * * * * [misc]progress: [ 289 / 451 ] simplifiying candidate # 1544005346.859 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005346.859 * * [misc]simplify: iters left: 6 (17 enodes) 1544005346.862 * * [misc]simplify: iters left: 5 (28 enodes) 1544005346.866 * * [misc]simplify: iters left: 4 (39 enodes) 1544005346.871 * * [misc]simplify: iters left: 3 (52 enodes) 1544005346.878 * * [misc]simplify: iters left: 2 (63 enodes) 1544005346.885 * * [misc]simplify: iters left: 1 (66 enodes) 1544005346.893 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) 1544005346.893 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005346.894 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005346.894 * * [misc]simplify: iters left: 6 (15 enodes) 1544005346.896 * * [misc]simplify: iters left: 5 (23 enodes) 1544005346.900 * * [misc]simplify: iters left: 4 (29 enodes) 1544005346.903 * * [misc]simplify: iters left: 3 (31 enodes) 1544005346.911 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544005346.911 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544005346.911 * * * * [misc]progress: [ 290 / 451 ] simplifiying candidate # 1544005346.912 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005346.912 * * [misc]simplify: iters left: 6 (19 enodes) 1544005346.917 * * [misc]simplify: iters left: 5 (30 enodes) 1544005346.925 * * [misc]simplify: iters left: 4 (45 enodes) 1544005346.936 * * [misc]simplify: iters left: 3 (59 enodes) 1544005346.950 * * [misc]simplify: iters left: 2 (67 enodes) 1544005346.957 * * [misc]simplify: iters left: 1 (70 enodes) 1544005346.966 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544005346.966 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005346.967 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005346.967 * * [misc]simplify: iters left: 6 (17 enodes) 1544005346.969 * * [misc]simplify: iters left: 5 (25 enodes) 1544005346.972 * * [misc]simplify: iters left: 4 (34 enodes) 1544005346.977 * * [misc]simplify: iters left: 3 (36 enodes) 1544005346.981 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005346.981 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544005346.981 * * * * [misc]progress: [ 291 / 451 ] simplifiying candidate # 1544005346.982 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544005346.982 * * [misc]simplify: iters left: 6 (19 enodes) 1544005346.987 * * [misc]simplify: iters left: 5 (32 enodes) 1544005346.998 * * [misc]simplify: iters left: 4 (45 enodes) 1544005347.007 * * [misc]simplify: iters left: 3 (66 enodes) 1544005347.016 * * [misc]simplify: iters left: 2 (113 enodes) 1544005347.032 * * [misc]simplify: iters left: 1 (119 enodes) 1544005347.042 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) 1544005347.042 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005347.042 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005347.042 * * [misc]simplify: iters left: 6 (16 enodes) 1544005347.046 * * [misc]simplify: iters left: 5 (24 enodes) 1544005347.053 * * [misc]simplify: iters left: 4 (33 enodes) 1544005347.062 * * [misc]simplify: iters left: 3 (35 enodes) 1544005347.069 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005347.069 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544005347.069 * * * * [misc]progress: [ 292 / 451 ] simplifiying candidate # 1544005347.069 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005347.069 * * [misc]simplify: iters left: 6 (19 enodes) 1544005347.072 * * [misc]simplify: iters left: 5 (30 enodes) 1544005347.077 * * [misc]simplify: iters left: 4 (45 enodes) 1544005347.084 * * [misc]simplify: iters left: 3 (59 enodes) 1544005347.092 * * [misc]simplify: iters left: 2 (67 enodes) 1544005347.099 * * [misc]simplify: iters left: 1 (70 enodes) 1544005347.108 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544005347.109 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005347.109 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005347.109 * * [misc]simplify: iters left: 6 (17 enodes) 1544005347.111 * * [misc]simplify: iters left: 5 (25 enodes) 1544005347.115 * * [misc]simplify: iters left: 4 (34 enodes) 1544005347.119 * * [misc]simplify: iters left: 3 (36 enodes) 1544005347.124 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005347.124 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544005347.124 * * * * [misc]progress: [ 293 / 451 ] simplifiying candidate # 1544005347.124 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544005347.124 * * [misc]simplify: iters left: 6 (18 enodes) 1544005347.127 * * [misc]simplify: iters left: 5 (31 enodes) 1544005347.131 * * [misc]simplify: iters left: 4 (44 enodes) 1544005347.138 * * [misc]simplify: iters left: 3 (69 enodes) 1544005347.150 * * [misc]simplify: iters left: 2 (124 enodes) 1544005347.183 * * [misc]simplify: iters left: 1 (128 enodes) 1544005347.192 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) 1544005347.192 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005347.192 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005347.192 * * [misc]simplify: iters left: 6 (16 enodes) 1544005347.194 * * [misc]simplify: iters left: 5 (24 enodes) 1544005347.198 * * [misc]simplify: iters left: 4 (33 enodes) 1544005347.202 * * [misc]simplify: iters left: 3 (35 enodes) 1544005347.206 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005347.206 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544005347.206 * * * * [misc]progress: [ 294 / 451 ] simplifiying candidate # 1544005347.207 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005347.207 * * [misc]simplify: iters left: 6 (18 enodes) 1544005347.209 * * [misc]simplify: iters left: 5 (30 enodes) 1544005347.216 * * [misc]simplify: iters left: 4 (50 enodes) 1544005347.225 * * [misc]simplify: iters left: 3 (86 enodes) 1544005347.238 * * [misc]simplify: iters left: 2 (125 enodes) 1544005347.265 * * [misc]simplify: iters left: 1 (145 enodes) 1544005347.309 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544005347.309 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005347.310 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005347.310 * * [misc]simplify: iters left: 6 (16 enodes) 1544005347.313 * * [misc]simplify: iters left: 5 (24 enodes) 1544005347.316 * * [misc]simplify: iters left: 4 (33 enodes) 1544005347.321 * * [misc]simplify: iters left: 3 (35 enodes) 1544005347.325 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005347.325 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005347.325 * * * * [misc]progress: [ 295 / 451 ] simplifiying candidate # 1544005347.326 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005347.326 * * [misc]simplify: iters left: 6 (19 enodes) 1544005347.328 * * [misc]simplify: iters left: 5 (30 enodes) 1544005347.332 * * [misc]simplify: iters left: 4 (45 enodes) 1544005347.339 * * [misc]simplify: iters left: 3 (59 enodes) 1544005347.347 * * [misc]simplify: iters left: 2 (67 enodes) 1544005347.362 * * [misc]simplify: iters left: 1 (70 enodes) 1544005347.381 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544005347.381 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005347.381 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005347.381 * * [misc]simplify: iters left: 6 (17 enodes) 1544005347.385 * * [misc]simplify: iters left: 5 (25 enodes) 1544005347.388 * * [misc]simplify: iters left: 4 (34 enodes) 1544005347.393 * * [misc]simplify: iters left: 3 (36 enodes) 1544005347.397 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005347.397 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005347.397 * * * * [misc]progress: [ 296 / 451 ] simplifiying candidate # 1544005347.397 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005347.397 * * [misc]simplify: iters left: 6 (16 enodes) 1544005347.400 * * [misc]simplify: iters left: 5 (26 enodes) 1544005347.404 * * [misc]simplify: iters left: 4 (37 enodes) 1544005347.414 * * [misc]simplify: iters left: 3 (47 enodes) 1544005347.426 * * [misc]simplify: iters left: 2 (50 enodes) 1544005347.438 * * [misc]simplify: iters left: 1 (51 enodes) 1544005347.450 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1544005347.450 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005347.450 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005347.450 * * [misc]simplify: iters left: 6 (15 enodes) 1544005347.455 * * [misc]simplify: iters left: 5 (23 enodes) 1544005347.462 * * [misc]simplify: iters left: 4 (29 enodes) 1544005347.469 * * [misc]simplify: iters left: 3 (31 enodes) 1544005347.477 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005347.477 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005347.477 * * * * [misc]progress: [ 297 / 451 ] simplifiying candidate # 1544005347.478 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544005347.478 * * [misc]simplify: iters left: 6 (18 enodes) 1544005347.484 * * [misc]simplify: iters left: 5 (30 enodes) 1544005347.493 * * [misc]simplify: iters left: 4 (44 enodes) 1544005347.506 * * [misc]simplify: iters left: 3 (70 enodes) 1544005347.529 * * [misc]simplify: iters left: 2 (149 enodes) 1544005347.582 * * [misc]simplify: iters left: 1 (155 enodes) 1544005347.599 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005347.599 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005347.600 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005347.600 * * [misc]simplify: iters left: 6 (15 enodes) 1544005347.606 * * [misc]simplify: iters left: 5 (23 enodes) 1544005347.613 * * [misc]simplify: iters left: 4 (32 enodes) 1544005347.622 * * [misc]simplify: iters left: 3 (33 enodes) 1544005347.630 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005347.630 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005347.630 * * * * [misc]progress: [ 298 / 451 ] simplifiying candidate # 1544005347.631 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005347.631 * * [misc]simplify: iters left: 6 (16 enodes) 1544005347.636 * * [misc]simplify: iters left: 5 (26 enodes) 1544005347.644 * * [misc]simplify: iters left: 4 (37 enodes) 1544005347.654 * * [misc]simplify: iters left: 3 (47 enodes) 1544005347.666 * * [misc]simplify: iters left: 2 (50 enodes) 1544005347.677 * * [misc]simplify: iters left: 1 (51 enodes) 1544005347.690 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1544005347.690 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005347.690 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005347.690 * * [misc]simplify: iters left: 6 (15 enodes) 1544005347.695 * * [misc]simplify: iters left: 5 (23 enodes) 1544005347.701 * * [misc]simplify: iters left: 4 (29 enodes) 1544005347.709 * * [misc]simplify: iters left: 3 (31 enodes) 1544005347.717 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005347.717 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005347.717 * * * * [misc]progress: [ 299 / 451 ] simplifiying candidate # 1544005347.718 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1) 1544005347.718 * * [misc]simplify: iters left: 6 (17 enodes) 1544005347.723 * * [misc]simplify: iters left: 5 (29 enodes) 1544005347.731 * * [misc]simplify: iters left: 4 (43 enodes) 1544005347.745 * * [misc]simplify: iters left: 3 (68 enodes) 1544005347.769 * * [misc]simplify: iters left: 2 (148 enodes) 1544005347.820 * * [misc]simplify: iters left: 1 (152 enodes) 1544005347.837 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005347.837 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005347.837 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005347.838 * * [misc]simplify: iters left: 6 (15 enodes) 1544005347.841 * * [misc]simplify: iters left: 5 (23 enodes) 1544005347.844 * * [misc]simplify: iters left: 4 (32 enodes) 1544005347.848 * * [misc]simplify: iters left: 3 (33 enodes) 1544005347.853 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005347.853 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005347.853 * * * * [misc]progress: [ 300 / 451 ] simplifiying candidate # 1544005347.853 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005347.853 * * [misc]simplify: iters left: 6 (19 enodes) 1544005347.856 * * [misc]simplify: iters left: 5 (33 enodes) 1544005347.861 * * [misc]simplify: iters left: 4 (53 enodes) 1544005347.871 * * [misc]simplify: iters left: 3 (89 enodes) 1544005347.884 * * [misc]simplify: iters left: 2 (161 enodes) 1544005347.916 * * [misc]simplify: iters left: 1 (269 enodes) 1544005347.970 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544005347.970 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005347.971 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005347.971 * * [misc]simplify: iters left: 6 (15 enodes) 1544005347.976 * * [misc]simplify: iters left: 5 (23 enodes) 1544005347.982 * * [misc]simplify: iters left: 4 (32 enodes) 1544005347.990 * * [misc]simplify: iters left: 3 (33 enodes) 1544005347.997 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005347.997 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544005347.997 * * * * [misc]progress: [ 301 / 451 ] simplifiying candidate # 1544005347.998 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005347.998 * * [misc]simplify: iters left: 6 (19 enodes) 1544005348.002 * * [misc]simplify: iters left: 5 (32 enodes) 1544005348.006 * * [misc]simplify: iters left: 4 (44 enodes) 1544005348.013 * * [misc]simplify: iters left: 3 (55 enodes) 1544005348.020 * * [misc]simplify: iters left: 2 (81 enodes) 1544005348.031 * * [misc]simplify: iters left: 1 (94 enodes) 1544005348.052 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544005348.053 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005348.053 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005348.053 * * [misc]simplify: iters left: 6 (16 enodes) 1544005348.058 * * [misc]simplify: iters left: 5 (24 enodes) 1544005348.062 * * [misc]simplify: iters left: 4 (33 enodes) 1544005348.066 * * [misc]simplify: iters left: 3 (35 enodes) 1544005348.070 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005348.070 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544005348.070 * * * * [misc]progress: [ 302 / 451 ] simplifiying candidate # 1544005348.071 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544005348.071 * * [misc]simplify: iters left: 6 (18 enodes) 1544005348.074 * * [misc]simplify: iters left: 5 (30 enodes) 1544005348.078 * * [misc]simplify: iters left: 4 (44 enodes) 1544005348.085 * * [misc]simplify: iters left: 3 (65 enodes) 1544005348.096 * * [misc]simplify: iters left: 2 (153 enodes) 1544005348.123 * * [misc]simplify: iters left: 1 (158 enodes) 1544005348.136 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544005348.136 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005348.136 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005348.136 * * [misc]simplify: iters left: 6 (15 enodes) 1544005348.141 * * [misc]simplify: iters left: 5 (23 enodes) 1544005348.148 * * [misc]simplify: iters left: 4 (32 enodes) 1544005348.157 * * [misc]simplify: iters left: 3 (33 enodes) 1544005348.165 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005348.166 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005348.166 * * * * [misc]progress: [ 303 / 451 ] simplifiying candidate # 1544005348.166 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt 1)) 1544005348.166 * * [misc]simplify: iters left: 6 (15 enodes) 1544005348.172 * * [misc]simplify: iters left: 5 (27 enodes) 1544005348.180 * * [misc]simplify: iters left: 4 (38 enodes) 1544005348.189 * * [misc]simplify: iters left: 3 (39 enodes) 1544005348.197 * * [misc]simplify: iters left: 2 (42 enodes) 1544005348.206 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005348.206 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005348.206 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005348.206 * * [misc]simplify: iters left: 6 (14 enodes) 1544005348.211 * * [misc]simplify: iters left: 5 (22 enodes) 1544005348.217 * * [misc]simplify: iters left: 4 (28 enodes) 1544005348.225 * * [misc]simplify: iters left: 3 (30 enodes) 1544005348.232 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005348.232 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005348.232 * * * * [misc]progress: [ 304 / 451 ] simplifiying candidate # 1544005348.232 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544005348.233 * * [misc]simplify: iters left: 6 (18 enodes) 1544005348.239 * * [misc]simplify: iters left: 5 (30 enodes) 1544005348.247 * * [misc]simplify: iters left: 4 (44 enodes) 1544005348.260 * * [misc]simplify: iters left: 3 (65 enodes) 1544005348.284 * * [misc]simplify: iters left: 2 (153 enodes) 1544005348.338 * * [misc]simplify: iters left: 1 (158 enodes) 1544005348.356 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544005348.356 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005348.356 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005348.357 * * [misc]simplify: iters left: 6 (15 enodes) 1544005348.362 * * [misc]simplify: iters left: 5 (23 enodes) 1544005348.369 * * [misc]simplify: iters left: 4 (32 enodes) 1544005348.377 * * [misc]simplify: iters left: 3 (33 enodes) 1544005348.386 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005348.386 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005348.386 * * * * [misc]progress: [ 305 / 451 ] simplifiying candidate # 1544005348.387 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) 1) 1544005348.387 * * [misc]simplify: iters left: 6 (15 enodes) 1544005348.393 * * [misc]simplify: iters left: 5 (27 enodes) 1544005348.400 * * [misc]simplify: iters left: 4 (38 enodes) 1544005348.410 * * [misc]simplify: iters left: 3 (39 enodes) 1544005348.417 * * [misc]simplify: iters left: 2 (42 enodes) 1544005348.426 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005348.426 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005348.427 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005348.427 * * [misc]simplify: iters left: 6 (14 enodes) 1544005348.431 * * [misc]simplify: iters left: 5 (22 enodes) 1544005348.437 * * [misc]simplify: iters left: 4 (28 enodes) 1544005348.445 * * [misc]simplify: iters left: 3 (30 enodes) 1544005348.452 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005348.452 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005348.452 * * * * [misc]progress: [ 306 / 451 ] simplifiying candidate # 1544005348.453 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005348.453 * * [misc]simplify: iters left: 6 (18 enodes) 1544005348.459 * * [misc]simplify: iters left: 5 (30 enodes) 1544005348.468 * * [misc]simplify: iters left: 4 (50 enodes) 1544005348.476 * * [misc]simplify: iters left: 3 (86 enodes) 1544005348.489 * * [misc]simplify: iters left: 2 (125 enodes) 1544005348.509 * * [misc]simplify: iters left: 1 (145 enodes) 1544005348.540 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544005348.541 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005348.541 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005348.541 * * [misc]simplify: iters left: 6 (16 enodes) 1544005348.546 * * [misc]simplify: iters left: 5 (24 enodes) 1544005348.553 * * [misc]simplify: iters left: 4 (33 enodes) 1544005348.562 * * [misc]simplify: iters left: 3 (35 enodes) 1544005348.571 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005348.571 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005348.571 * * * * [misc]progress: [ 307 / 451 ] simplifiying candidate # 1544005348.571 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005348.571 * * [misc]simplify: iters left: 6 (19 enodes) 1544005348.577 * * [misc]simplify: iters left: 5 (30 enodes) 1544005348.586 * * [misc]simplify: iters left: 4 (45 enodes) 1544005348.599 * * [misc]simplify: iters left: 3 (59 enodes) 1544005348.615 * * [misc]simplify: iters left: 2 (67 enodes) 1544005348.630 * * [misc]simplify: iters left: 1 (70 enodes) 1544005348.641 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1544005348.641 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005348.641 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005348.641 * * [misc]simplify: iters left: 6 (17 enodes) 1544005348.644 * * [misc]simplify: iters left: 5 (25 enodes) 1544005348.647 * * [misc]simplify: iters left: 4 (34 enodes) 1544005348.652 * * [misc]simplify: iters left: 3 (36 enodes) 1544005348.657 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005348.657 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005348.657 * * * * [misc]progress: [ 308 / 451 ] simplifiying candidate # 1544005348.657 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005348.657 * * [misc]simplify: iters left: 6 (16 enodes) 1544005348.660 * * [misc]simplify: iters left: 5 (26 enodes) 1544005348.668 * * [misc]simplify: iters left: 4 (37 enodes) 1544005348.677 * * [misc]simplify: iters left: 3 (47 enodes) 1544005348.683 * * [misc]simplify: iters left: 2 (50 enodes) 1544005348.689 * * [misc]simplify: iters left: 1 (51 enodes) 1544005348.696 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1544005348.696 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005348.696 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005348.696 * * [misc]simplify: iters left: 6 (15 enodes) 1544005348.699 * * [misc]simplify: iters left: 5 (23 enodes) 1544005348.702 * * [misc]simplify: iters left: 4 (29 enodes) 1544005348.706 * * [misc]simplify: iters left: 3 (31 enodes) 1544005348.713 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005348.713 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005348.713 * * * * [misc]progress: [ 309 / 451 ] simplifiying candidate # 1544005348.713 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544005348.713 * * [misc]simplify: iters left: 6 (18 enodes) 1544005348.720 * * [misc]simplify: iters left: 5 (30 enodes) 1544005348.726 * * [misc]simplify: iters left: 4 (44 enodes) 1544005348.734 * * [misc]simplify: iters left: 3 (70 enodes) 1544005348.745 * * [misc]simplify: iters left: 2 (149 enodes) 1544005348.793 * * [misc]simplify: iters left: 1 (155 enodes) 1544005348.807 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005348.807 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005348.807 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005348.807 * * [misc]simplify: iters left: 6 (15 enodes) 1544005348.810 * * [misc]simplify: iters left: 5 (23 enodes) 1544005348.813 * * [misc]simplify: iters left: 4 (32 enodes) 1544005348.817 * * [misc]simplify: iters left: 3 (33 enodes) 1544005348.821 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005348.821 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005348.821 * * * * [misc]progress: [ 310 / 451 ] simplifiying candidate # 1544005348.821 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005348.821 * * [misc]simplify: iters left: 6 (16 enodes) 1544005348.824 * * [misc]simplify: iters left: 5 (26 enodes) 1544005348.828 * * [misc]simplify: iters left: 4 (37 enodes) 1544005348.837 * * [misc]simplify: iters left: 3 (47 enodes) 1544005348.848 * * [misc]simplify: iters left: 2 (50 enodes) 1544005348.855 * * [misc]simplify: iters left: 1 (51 enodes) 1544005348.861 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1544005348.861 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005348.862 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005348.862 * * [misc]simplify: iters left: 6 (15 enodes) 1544005348.864 * * [misc]simplify: iters left: 5 (23 enodes) 1544005348.867 * * [misc]simplify: iters left: 4 (29 enodes) 1544005348.871 * * [misc]simplify: iters left: 3 (31 enodes) 1544005348.875 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005348.875 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005348.875 * * * * [misc]progress: [ 311 / 451 ] simplifiying candidate # 1544005348.875 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1) 1544005348.875 * * [misc]simplify: iters left: 6 (17 enodes) 1544005348.878 * * [misc]simplify: iters left: 5 (29 enodes) 1544005348.882 * * [misc]simplify: iters left: 4 (43 enodes) 1544005348.889 * * [misc]simplify: iters left: 3 (68 enodes) 1544005348.906 * * [misc]simplify: iters left: 2 (148 enodes) 1544005348.936 * * [misc]simplify: iters left: 1 (152 enodes) 1544005348.948 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005348.948 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005348.948 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005348.948 * * [misc]simplify: iters left: 6 (15 enodes) 1544005348.953 * * [misc]simplify: iters left: 5 (23 enodes) 1544005348.959 * * [misc]simplify: iters left: 4 (32 enodes) 1544005348.964 * * [misc]simplify: iters left: 3 (33 enodes) 1544005348.968 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005348.968 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005348.968 * * * * [misc]progress: [ 312 / 451 ] simplifiying candidate # 1544005348.968 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005348.968 * * [misc]simplify: iters left: 6 (18 enodes) 1544005348.971 * * [misc]simplify: iters left: 5 (32 enodes) 1544005348.977 * * [misc]simplify: iters left: 4 (60 enodes) 1544005348.987 * * [misc]simplify: iters left: 3 (126 enodes) 1544005349.051 * * [misc]simplify: iters left: 2 (355 enodes) 1544005349.277 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544005349.277 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005349.278 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005349.278 * * [misc]simplify: iters left: 6 (15 enodes) 1544005349.280 * * [misc]simplify: iters left: 5 (23 enodes) 1544005349.283 * * [misc]simplify: iters left: 4 (32 enodes) 1544005349.287 * * [misc]simplify: iters left: 3 (33 enodes) 1544005349.291 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005349.291 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544005349.291 * * * * [misc]progress: [ 313 / 451 ] simplifiying candidate # 1544005349.292 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005349.292 * * [misc]simplify: iters left: 6 (18 enodes) 1544005349.295 * * [misc]simplify: iters left: 5 (31 enodes) 1544005349.300 * * [misc]simplify: iters left: 4 (49 enodes) 1544005349.313 * * [misc]simplify: iters left: 3 (81 enodes) 1544005349.327 * * [misc]simplify: iters left: 2 (139 enodes) 1544005349.349 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- (/ k 2)))))) 1544005349.349 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005349.349 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005349.349 * * [misc]simplify: iters left: 6 (16 enodes) 1544005349.351 * * [misc]simplify: iters left: 5 (24 enodes) 1544005349.355 * * [misc]simplify: iters left: 4 (33 enodes) 1544005349.359 * * [misc]simplify: iters left: 3 (35 enodes) 1544005349.363 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005349.363 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544005349.363 * * * * [misc]progress: [ 314 / 451 ] simplifiying candidate # 1544005349.364 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (sqrt (sqrt k)))) 1544005349.364 * * [misc]simplify: iters left: 6 (17 enodes) 1544005349.366 * * [misc]simplify: iters left: 5 (29 enodes) 1544005349.371 * * [misc]simplify: iters left: 4 (48 enodes) 1544005349.379 * * [misc]simplify: iters left: 3 (72 enodes) 1544005349.389 * * [misc]simplify: iters left: 2 (124 enodes) 1544005349.405 * * [misc]simplify: iters left: 1 (128 enodes) 1544005349.415 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1544005349.415 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005349.415 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005349.415 * * [misc]simplify: iters left: 6 (15 enodes) 1544005349.417 * * [misc]simplify: iters left: 5 (23 enodes) 1544005349.420 * * [misc]simplify: iters left: 4 (32 enodes) 1544005349.424 * * [misc]simplify: iters left: 3 (33 enodes) 1544005349.429 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005349.429 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005349.429 * * * * [misc]progress: [ 315 / 451 ] simplifiying candidate # 1544005349.429 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt 1)) 1544005349.429 * * [misc]simplify: iters left: 6 (15 enodes) 1544005349.432 * * [misc]simplify: iters left: 5 (27 enodes) 1544005349.436 * * [misc]simplify: iters left: 4 (38 enodes) 1544005349.440 * * [misc]simplify: iters left: 3 (45 enodes) 1544005349.445 * * [misc]simplify: iters left: 2 (59 enodes) 1544005349.452 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005349.452 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005349.452 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005349.452 * * [misc]simplify: iters left: 6 (14 enodes) 1544005349.454 * * [misc]simplify: iters left: 5 (22 enodes) 1544005349.457 * * [misc]simplify: iters left: 4 (28 enodes) 1544005349.461 * * [misc]simplify: iters left: 3 (30 enodes) 1544005349.465 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005349.465 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005349.465 * * * * [misc]progress: [ 316 / 451 ] simplifiying candidate # 1544005349.465 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) (sqrt (sqrt (sqrt k)))) 1544005349.465 * * [misc]simplify: iters left: 6 (17 enodes) 1544005349.467 * * [misc]simplify: iters left: 5 (29 enodes) 1544005349.472 * * [misc]simplify: iters left: 4 (48 enodes) 1544005349.479 * * [misc]simplify: iters left: 3 (72 enodes) 1544005349.493 * * [misc]simplify: iters left: 2 (124 enodes) 1544005349.526 * * [misc]simplify: iters left: 1 (128 enodes) 1544005349.543 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1544005349.543 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005349.543 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005349.543 * * [misc]simplify: iters left: 6 (15 enodes) 1544005349.548 * * [misc]simplify: iters left: 5 (23 enodes) 1544005349.555 * * [misc]simplify: iters left: 4 (32 enodes) 1544005349.564 * * [misc]simplify: iters left: 3 (33 enodes) 1544005349.572 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005349.572 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005349.572 * * * * [misc]progress: [ 317 / 451 ] simplifiying candidate # 1544005349.572 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1) 1544005349.573 * * [misc]simplify: iters left: 6 (14 enodes) 1544005349.575 * * [misc]simplify: iters left: 5 (24 enodes) 1544005349.578 * * [misc]simplify: iters left: 4 (32 enodes) 1544005349.583 * * [misc]simplify: iters left: 3 (36 enodes) 1544005349.587 * * [misc]simplify: iters left: 2 (44 enodes) 1544005349.592 * * [misc]simplify: iters left: 1 (46 enodes) 1544005349.597 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005349.597 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005349.597 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005349.597 * * [misc]simplify: iters left: 6 (14 enodes) 1544005349.602 * * [misc]simplify: iters left: 5 (22 enodes) 1544005349.610 * * [misc]simplify: iters left: 4 (28 enodes) 1544005349.618 * * [misc]simplify: iters left: 3 (30 enodes) 1544005349.624 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005349.625 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005349.625 * * * * [misc]progress: [ 318 / 451 ] simplifiying candidate # 1544005349.625 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005349.625 * * [misc]simplify: iters left: 6 (16 enodes) 1544005349.628 * * [misc]simplify: iters left: 5 (28 enodes) 1544005349.632 * * [misc]simplify: iters left: 4 (40 enodes) 1544005349.637 * * [misc]simplify: iters left: 3 (43 enodes) 1544005349.643 * * [misc]simplify: iters left: 2 (47 enodes) 1544005349.649 * * [misc]simplify: iters left: 1 (49 enodes) 1544005349.655 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544005349.655 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005349.655 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005349.655 * * [misc]simplify: iters left: 6 (15 enodes) 1544005349.657 * * [misc]simplify: iters left: 5 (23 enodes) 1544005349.661 * * [misc]simplify: iters left: 4 (29 enodes) 1544005349.665 * * [misc]simplify: iters left: 3 (30 enodes) 1544005349.669 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005349.669 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005349.669 * * * * [misc]progress: [ 319 / 451 ] simplifiying candidate # 1544005349.669 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005349.669 * * [misc]simplify: iters left: 6 (19 enodes) 1544005349.673 * * [misc]simplify: iters left: 5 (30 enodes) 1544005349.681 * * [misc]simplify: iters left: 4 (41 enodes) 1544005349.692 * * [misc]simplify: iters left: 3 (45 enodes) 1544005349.704 * * [misc]simplify: iters left: 2 (51 enodes) 1544005349.719 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) 1544005349.719 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005349.720 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005349.720 * * [misc]simplify: iters left: 6 (17 enodes) 1544005349.724 * * [misc]simplify: iters left: 5 (25 enodes) 1544005349.731 * * [misc]simplify: iters left: 4 (34 enodes) 1544005349.739 * * [misc]simplify: iters left: 3 (36 enodes) 1544005349.748 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005349.748 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005349.748 * * * * [misc]progress: [ 320 / 451 ] simplifiying candidate # 1544005349.748 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005349.749 * * [misc]simplify: iters left: 6 (17 enodes) 1544005349.753 * * [misc]simplify: iters left: 5 (27 enodes) 1544005349.761 * * [misc]simplify: iters left: 4 (38 enodes) 1544005349.771 * * [misc]simplify: iters left: 3 (42 enodes) 1544005349.782 * * [misc]simplify: iters left: 2 (48 enodes) 1544005349.789 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005349.789 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005349.789 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005349.789 * * [misc]simplify: iters left: 6 (16 enodes) 1544005349.791 * * [misc]simplify: iters left: 5 (24 enodes) 1544005349.795 * * [misc]simplify: iters left: 4 (33 enodes) 1544005349.799 * * [misc]simplify: iters left: 3 (35 enodes) 1544005349.804 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005349.804 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005349.804 * * * * [misc]progress: [ 321 / 451 ] simplifiying candidate # 1544005349.804 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544005349.804 * * [misc]simplify: iters left: 6 (18 enodes) 1544005349.807 * * [misc]simplify: iters left: 5 (30 enodes) 1544005349.811 * * [misc]simplify: iters left: 4 (41 enodes) 1544005349.817 * * [misc]simplify: iters left: 3 (45 enodes) 1544005349.823 * * [misc]simplify: iters left: 2 (50 enodes) 1544005349.829 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005349.829 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005349.829 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005349.830 * * [misc]simplify: iters left: 6 (15 enodes) 1544005349.834 * * [misc]simplify: iters left: 5 (23 enodes) 1544005349.841 * * [misc]simplify: iters left: 4 (32 enodes) 1544005349.849 * * [misc]simplify: iters left: 3 (33 enodes) 1544005349.857 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005349.857 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544005349.858 * * * * [misc]progress: [ 322 / 451 ] simplifiying candidate # 1544005349.858 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005349.858 * * [misc]simplify: iters left: 6 (17 enodes) 1544005349.863 * * [misc]simplify: iters left: 5 (27 enodes) 1544005349.871 * * [misc]simplify: iters left: 4 (38 enodes) 1544005349.882 * * [misc]simplify: iters left: 3 (42 enodes) 1544005349.892 * * [misc]simplify: iters left: 2 (48 enodes) 1544005349.900 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005349.900 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005349.900 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005349.900 * * [misc]simplify: iters left: 6 (16 enodes) 1544005349.905 * * [misc]simplify: iters left: 5 (24 enodes) 1544005349.912 * * [misc]simplify: iters left: 4 (33 enodes) 1544005349.919 * * [misc]simplify: iters left: 3 (35 enodes) 1544005349.929 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005349.929 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005349.929 * * * * [misc]progress: [ 323 / 451 ] simplifiying candidate # 1544005349.929 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544005349.929 * * [misc]simplify: iters left: 6 (17 enodes) 1544005349.935 * * [misc]simplify: iters left: 5 (29 enodes) 1544005349.943 * * [misc]simplify: iters left: 4 (40 enodes) 1544005349.956 * * [misc]simplify: iters left: 3 (47 enodes) 1544005349.965 * * [misc]simplify: iters left: 2 (52 enodes) 1544005349.975 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005349.975 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005349.975 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005349.976 * * [misc]simplify: iters left: 6 (15 enodes) 1544005349.980 * * [misc]simplify: iters left: 5 (23 enodes) 1544005349.986 * * [misc]simplify: iters left: 4 (32 enodes) 1544005349.994 * * [misc]simplify: iters left: 3 (33 enodes) 1544005350.002 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005350.002 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544005350.002 * * * * [misc]progress: [ 324 / 451 ] simplifiying candidate # 1544005350.002 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005350.002 * * [misc]simplify: iters left: 6 (19 enodes) 1544005350.006 * * [misc]simplify: iters left: 5 (30 enodes) 1544005350.010 * * [misc]simplify: iters left: 4 (42 enodes) 1544005350.016 * * [misc]simplify: iters left: 3 (48 enodes) 1544005350.022 * * [misc]simplify: iters left: 2 (49 enodes) 1544005350.028 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005350.028 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005350.028 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005350.028 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.031 * * [misc]simplify: iters left: 5 (25 enodes) 1544005350.034 * * [misc]simplify: iters left: 4 (34 enodes) 1544005350.039 * * [misc]simplify: iters left: 3 (36 enodes) 1544005350.043 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005350.043 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544005350.043 * * * * [misc]progress: [ 325 / 451 ] simplifiying candidate # 1544005350.044 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005350.044 * * [misc]simplify: iters left: 6 (16 enodes) 1544005350.046 * * [misc]simplify: iters left: 5 (25 enodes) 1544005350.051 * * [misc]simplify: iters left: 4 (31 enodes) 1544005350.055 * * [misc]simplify: iters left: 3 (33 enodes) 1544005350.059 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005350.059 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005350.059 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005350.059 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.061 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.064 * * [misc]simplify: iters left: 4 (29 enodes) 1544005350.069 * * [misc]simplify: iters left: 3 (31 enodes) 1544005350.076 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k))) 1544005350.077 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt k)))))) 1544005350.077 * * * * [misc]progress: [ 326 / 451 ] simplifiying candidate # 1544005350.077 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005350.077 * * [misc]simplify: iters left: 6 (18 enodes) 1544005350.083 * * [misc]simplify: iters left: 5 (27 enodes) 1544005350.091 * * [misc]simplify: iters left: 4 (36 enodes) 1544005350.100 * * [misc]simplify: iters left: 3 (37 enodes) 1544005350.109 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005350.109 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005350.110 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005350.110 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.115 * * [misc]simplify: iters left: 5 (25 enodes) 1544005350.122 * * [misc]simplify: iters left: 4 (34 enodes) 1544005350.131 * * [misc]simplify: iters left: 3 (36 enodes) 1544005350.141 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005350.141 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544005350.141 * * * * [misc]progress: [ 327 / 451 ] simplifiying candidate # 1544005350.141 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544005350.141 * * [misc]simplify: iters left: 6 (18 enodes) 1544005350.148 * * [misc]simplify: iters left: 5 (29 enodes) 1544005350.156 * * [misc]simplify: iters left: 4 (38 enodes) 1544005350.165 * * [misc]simplify: iters left: 3 (43 enodes) 1544005350.174 * * [misc]simplify: iters left: 2 (44 enodes) 1544005350.184 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544005350.184 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005350.184 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005350.184 * * [misc]simplify: iters left: 6 (16 enodes) 1544005350.190 * * [misc]simplify: iters left: 5 (24 enodes) 1544005350.197 * * [misc]simplify: iters left: 4 (33 enodes) 1544005350.205 * * [misc]simplify: iters left: 3 (35 enodes) 1544005350.214 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005350.214 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544005350.214 * * * * [misc]progress: [ 328 / 451 ] simplifiying candidate # 1544005350.215 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005350.215 * * [misc]simplify: iters left: 6 (18 enodes) 1544005350.220 * * [misc]simplify: iters left: 5 (27 enodes) 1544005350.227 * * [misc]simplify: iters left: 4 (36 enodes) 1544005350.236 * * [misc]simplify: iters left: 3 (37 enodes) 1544005350.245 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005350.245 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005350.245 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005350.246 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.250 * * [misc]simplify: iters left: 5 (25 enodes) 1544005350.254 * * [misc]simplify: iters left: 4 (34 enodes) 1544005350.259 * * [misc]simplify: iters left: 3 (36 enodes) 1544005350.264 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544005350.264 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))))) 1544005350.264 * * * * [misc]progress: [ 329 / 451 ] simplifiying candidate # 1544005350.264 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544005350.264 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.267 * * [misc]simplify: iters left: 5 (28 enodes) 1544005350.271 * * [misc]simplify: iters left: 4 (37 enodes) 1544005350.276 * * [misc]simplify: iters left: 3 (44 enodes) 1544005350.282 * * [misc]simplify: iters left: 2 (45 enodes) 1544005350.291 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544005350.291 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005350.291 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005350.292 * * [misc]simplify: iters left: 6 (16 enodes) 1544005350.297 * * [misc]simplify: iters left: 5 (24 enodes) 1544005350.305 * * [misc]simplify: iters left: 4 (33 enodes) 1544005350.314 * * [misc]simplify: iters left: 3 (35 enodes) 1544005350.323 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005350.323 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544005350.323 * * * * [misc]progress: [ 330 / 451 ] simplifiying candidate # 1544005350.324 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005350.324 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.329 * * [misc]simplify: iters left: 5 (27 enodes) 1544005350.337 * * [misc]simplify: iters left: 4 (39 enodes) 1544005350.348 * * [misc]simplify: iters left: 3 (45 enodes) 1544005350.359 * * [misc]simplify: iters left: 2 (46 enodes) 1544005350.371 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) 1544005350.371 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005350.371 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005350.371 * * [misc]simplify: iters left: 6 (16 enodes) 1544005350.376 * * [misc]simplify: iters left: 5 (24 enodes) 1544005350.383 * * [misc]simplify: iters left: 4 (33 enodes) 1544005350.392 * * [misc]simplify: iters left: 3 (35 enodes) 1544005350.402 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005350.402 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005350.402 * * * * [misc]progress: [ 331 / 451 ] simplifiying candidate # 1544005350.402 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005350.402 * * [misc]simplify: iters left: 6 (18 enodes) 1544005350.408 * * [misc]simplify: iters left: 5 (27 enodes) 1544005350.415 * * [misc]simplify: iters left: 4 (36 enodes) 1544005350.421 * * [misc]simplify: iters left: 3 (37 enodes) 1544005350.426 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544005350.426 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005350.426 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005350.426 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.429 * * [misc]simplify: iters left: 5 (25 enodes) 1544005350.432 * * [misc]simplify: iters left: 4 (34 enodes) 1544005350.438 * * [misc]simplify: iters left: 3 (36 enodes) 1544005350.443 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005350.443 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005350.443 * * * * [misc]progress: [ 332 / 451 ] simplifiying candidate # 1544005350.443 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005350.443 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.447 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.454 * * [misc]simplify: iters left: 4 (29 enodes) 1544005350.462 * * [misc]simplify: iters left: 3 (31 enodes) 1544005350.468 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005350.469 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005350.469 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005350.469 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.471 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.474 * * [misc]simplify: iters left: 4 (29 enodes) 1544005350.478 * * [misc]simplify: iters left: 3 (31 enodes) 1544005350.482 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005350.482 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005350.482 * * * * [misc]progress: [ 333 / 451 ] simplifiying candidate # 1544005350.483 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544005350.483 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.486 * * [misc]simplify: iters left: 5 (27 enodes) 1544005350.490 * * [misc]simplify: iters left: 4 (36 enodes) 1544005350.495 * * [misc]simplify: iters left: 3 (41 enodes) 1544005350.503 * * [misc]simplify: iters left: 2 (42 enodes) 1544005350.509 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005350.509 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005350.509 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005350.510 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.512 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.515 * * [misc]simplify: iters left: 4 (32 enodes) 1544005350.520 * * [misc]simplify: iters left: 3 (33 enodes) 1544005350.524 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005350.524 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005350.524 * * * * [misc]progress: [ 334 / 451 ] simplifiying candidate # 1544005350.524 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005350.524 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.526 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.531 * * [misc]simplify: iters left: 4 (29 enodes) 1544005350.535 * * [misc]simplify: iters left: 3 (31 enodes) 1544005350.539 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005350.539 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005350.539 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005350.539 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.541 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.546 * * [misc]simplify: iters left: 4 (29 enodes) 1544005350.555 * * [misc]simplify: iters left: 3 (31 enodes) 1544005350.562 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005350.562 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005350.563 * * * * [misc]progress: [ 335 / 451 ] simplifiying candidate # 1544005350.563 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1) 1544005350.563 * * [misc]simplify: iters left: 6 (16 enodes) 1544005350.568 * * [misc]simplify: iters left: 5 (26 enodes) 1544005350.575 * * [misc]simplify: iters left: 4 (35 enodes) 1544005350.586 * * [misc]simplify: iters left: 3 (40 enodes) 1544005350.593 * * [misc]simplify: iters left: 2 (41 enodes) 1544005350.597 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005350.597 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005350.597 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005350.597 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.600 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.603 * * [misc]simplify: iters left: 4 (32 enodes) 1544005350.607 * * [misc]simplify: iters left: 3 (33 enodes) 1544005350.612 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005350.612 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005350.612 * * * * [misc]progress: [ 336 / 451 ] simplifiying candidate # 1544005350.612 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005350.612 * * [misc]simplify: iters left: 6 (18 enodes) 1544005350.615 * * [misc]simplify: iters left: 5 (30 enodes) 1544005350.619 * * [misc]simplify: iters left: 4 (41 enodes) 1544005350.625 * * [misc]simplify: iters left: 3 (50 enodes) 1544005350.636 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005350.636 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005350.636 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005350.636 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.638 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.642 * * [misc]simplify: iters left: 4 (32 enodes) 1544005350.646 * * [misc]simplify: iters left: 3 (33 enodes) 1544005350.650 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005350.650 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544005350.650 * * * * [misc]progress: [ 337 / 451 ] simplifiying candidate # 1544005350.650 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005350.650 * * [misc]simplify: iters left: 6 (18 enodes) 1544005350.653 * * [misc]simplify: iters left: 5 (29 enodes) 1544005350.657 * * [misc]simplify: iters left: 4 (36 enodes) 1544005350.662 * * [misc]simplify: iters left: 3 (41 enodes) 1544005350.670 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544005350.670 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005350.671 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005350.671 * * [misc]simplify: iters left: 6 (16 enodes) 1544005350.676 * * [misc]simplify: iters left: 5 (24 enodes) 1544005350.681 * * [misc]simplify: iters left: 4 (33 enodes) 1544005350.685 * * [misc]simplify: iters left: 3 (35 enodes) 1544005350.690 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005350.690 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544005350.690 * * * * [misc]progress: [ 338 / 451 ] simplifiying candidate # 1544005350.690 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544005350.690 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.693 * * [misc]simplify: iters left: 5 (27 enodes) 1544005350.697 * * [misc]simplify: iters left: 4 (34 enodes) 1544005350.702 * * [misc]simplify: iters left: 3 (39 enodes) 1544005350.706 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005350.706 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005350.706 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005350.706 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.710 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.716 * * [misc]simplify: iters left: 4 (32 enodes) 1544005350.727 * * [misc]simplify: iters left: 3 (33 enodes) 1544005350.736 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005350.736 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005350.736 * * * * [misc]progress: [ 339 / 451 ] simplifiying candidate # 1544005350.736 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt 1)) 1544005350.737 * * [misc]simplify: iters left: 6 (14 enodes) 1544005350.742 * * [misc]simplify: iters left: 5 (24 enodes) 1544005350.748 * * [misc]simplify: iters left: 4 (30 enodes) 1544005350.755 * * [misc]simplify: iters left: 3 (32 enodes) 1544005350.762 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544005350.762 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005350.762 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005350.762 * * [misc]simplify: iters left: 6 (14 enodes) 1544005350.766 * * [misc]simplify: iters left: 5 (22 enodes) 1544005350.773 * * [misc]simplify: iters left: 4 (28 enodes) 1544005350.780 * * [misc]simplify: iters left: 3 (30 enodes) 1544005350.788 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005350.788 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005350.788 * * * * [misc]progress: [ 340 / 451 ] simplifiying candidate # 1544005350.788 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544005350.788 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.794 * * [misc]simplify: iters left: 5 (27 enodes) 1544005350.801 * * [misc]simplify: iters left: 4 (34 enodes) 1544005350.811 * * [misc]simplify: iters left: 3 (39 enodes) 1544005350.819 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005350.819 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005350.820 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005350.820 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.824 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.831 * * [misc]simplify: iters left: 4 (32 enodes) 1544005350.840 * * [misc]simplify: iters left: 3 (33 enodes) 1544005350.848 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005350.849 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005350.849 * * * * [misc]progress: [ 341 / 451 ] simplifiying candidate # 1544005350.849 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) 1) 1544005350.849 * * [misc]simplify: iters left: 6 (14 enodes) 1544005350.855 * * [misc]simplify: iters left: 5 (24 enodes) 1544005350.861 * * [misc]simplify: iters left: 4 (30 enodes) 1544005350.867 * * [misc]simplify: iters left: 3 (32 enodes) 1544005350.871 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544005350.871 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005350.871 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005350.871 * * [misc]simplify: iters left: 6 (14 enodes) 1544005350.875 * * [misc]simplify: iters left: 5 (22 enodes) 1544005350.878 * * [misc]simplify: iters left: 4 (28 enodes) 1544005350.881 * * [misc]simplify: iters left: 3 (30 enodes) 1544005350.885 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005350.885 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005350.885 * * * * [misc]progress: [ 342 / 451 ] simplifiying candidate # 1544005350.886 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005350.886 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.888 * * [misc]simplify: iters left: 5 (27 enodes) 1544005350.892 * * [misc]simplify: iters left: 4 (39 enodes) 1544005350.897 * * [misc]simplify: iters left: 3 (45 enodes) 1544005350.903 * * [misc]simplify: iters left: 2 (46 enodes) 1544005350.909 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) 1544005350.909 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005350.909 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005350.909 * * [misc]simplify: iters left: 6 (16 enodes) 1544005350.912 * * [misc]simplify: iters left: 5 (24 enodes) 1544005350.915 * * [misc]simplify: iters left: 4 (33 enodes) 1544005350.920 * * [misc]simplify: iters left: 3 (35 enodes) 1544005350.929 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005350.930 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005350.930 * * * * [misc]progress: [ 343 / 451 ] simplifiying candidate # 1544005350.930 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005350.930 * * [misc]simplify: iters left: 6 (18 enodes) 1544005350.936 * * [misc]simplify: iters left: 5 (27 enodes) 1544005350.943 * * [misc]simplify: iters left: 4 (36 enodes) 1544005350.953 * * [misc]simplify: iters left: 3 (37 enodes) 1544005350.963 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544005350.963 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005350.963 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005350.963 * * [misc]simplify: iters left: 6 (17 enodes) 1544005350.966 * * [misc]simplify: iters left: 5 (25 enodes) 1544005350.971 * * [misc]simplify: iters left: 4 (34 enodes) 1544005350.975 * * [misc]simplify: iters left: 3 (36 enodes) 1544005350.980 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544005350.980 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))))))) 1544005350.980 * * * * [misc]progress: [ 344 / 451 ] simplifiying candidate # 1544005350.981 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005350.981 * * [misc]simplify: iters left: 6 (15 enodes) 1544005350.983 * * [misc]simplify: iters left: 5 (23 enodes) 1544005350.987 * * [misc]simplify: iters left: 4 (29 enodes) 1544005350.991 * * [misc]simplify: iters left: 3 (31 enodes) 1544005350.998 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005350.998 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005350.999 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005350.999 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.003 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.010 * * [misc]simplify: iters left: 4 (29 enodes) 1544005351.014 * * [misc]simplify: iters left: 3 (31 enodes) 1544005351.018 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005351.018 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005351.018 * * * * [misc]progress: [ 345 / 451 ] simplifiying candidate # 1544005351.019 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544005351.019 * * [misc]simplify: iters left: 6 (17 enodes) 1544005351.022 * * [misc]simplify: iters left: 5 (27 enodes) 1544005351.025 * * [misc]simplify: iters left: 4 (36 enodes) 1544005351.030 * * [misc]simplify: iters left: 3 (41 enodes) 1544005351.034 * * [misc]simplify: iters left: 2 (42 enodes) 1544005351.038 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005351.038 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.039 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.039 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.041 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.044 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.048 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.053 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005351.053 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005351.053 * * * * [misc]progress: [ 346 / 451 ] simplifiying candidate # 1544005351.053 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.053 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.056 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.060 * * [misc]simplify: iters left: 4 (29 enodes) 1544005351.064 * * [misc]simplify: iters left: 3 (31 enodes) 1544005351.072 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005351.072 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.072 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.072 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.077 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.084 * * [misc]simplify: iters left: 4 (29 enodes) 1544005351.092 * * [misc]simplify: iters left: 3 (31 enodes) 1544005351.100 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1544005351.100 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k)))))) 1544005351.100 * * * * [misc]progress: [ 347 / 451 ] simplifiying candidate # 1544005351.100 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1) 1544005351.100 * * [misc]simplify: iters left: 6 (16 enodes) 1544005351.105 * * [misc]simplify: iters left: 5 (26 enodes) 1544005351.113 * * [misc]simplify: iters left: 4 (35 enodes) 1544005351.123 * * [misc]simplify: iters left: 3 (40 enodes) 1544005351.130 * * [misc]simplify: iters left: 2 (41 enodes) 1544005351.134 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005351.134 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.134 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.134 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.136 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.139 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.144 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.148 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005351.148 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005351.148 * * * * [misc]progress: [ 348 / 451 ] simplifiying candidate # 1544005351.148 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.148 * * [misc]simplify: iters left: 6 (17 enodes) 1544005351.151 * * [misc]simplify: iters left: 5 (29 enodes) 1544005351.156 * * [misc]simplify: iters left: 4 (43 enodes) 1544005351.163 * * [misc]simplify: iters left: 3 (53 enodes) 1544005351.177 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.177 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005351.177 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005351.177 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.181 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.188 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.197 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.205 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544005351.205 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))))) 1544005351.205 * * * * [misc]progress: [ 349 / 451 ] simplifiying candidate # 1544005351.206 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005351.206 * * [misc]simplify: iters left: 6 (17 enodes) 1544005351.211 * * [misc]simplify: iters left: 5 (28 enodes) 1544005351.220 * * [misc]simplify: iters left: 4 (38 enodes) 1544005351.229 * * [misc]simplify: iters left: 3 (40 enodes) 1544005351.238 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544005351.238 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005351.238 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005351.238 * * [misc]simplify: iters left: 6 (16 enodes) 1544005351.243 * * [misc]simplify: iters left: 5 (24 enodes) 1544005351.247 * * [misc]simplify: iters left: 4 (33 enodes) 1544005351.251 * * [misc]simplify: iters left: 3 (35 enodes) 1544005351.255 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544005351.255 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k))))))) 1544005351.255 * * * * [misc]progress: [ 350 / 451 ] simplifiying candidate # 1544005351.256 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (sqrt (sqrt k)))) 1544005351.256 * * [misc]simplify: iters left: 6 (16 enodes) 1544005351.258 * * [misc]simplify: iters left: 5 (26 enodes) 1544005351.262 * * [misc]simplify: iters left: 4 (37 enodes) 1544005351.266 * * [misc]simplify: iters left: 3 (38 enodes) 1544005351.270 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005351.270 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005351.270 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005351.271 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.273 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.277 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.286 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.295 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005351.295 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005351.295 * * * * [misc]progress: [ 351 / 451 ] simplifiying candidate # 1544005351.295 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt 1)) 1544005351.295 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.300 * * [misc]simplify: iters left: 5 (24 enodes) 1544005351.303 * * [misc]simplify: iters left: 4 (30 enodes) 1544005351.306 * * [misc]simplify: iters left: 3 (32 enodes) 1544005351.309 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544005351.309 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005351.310 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005351.310 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.312 * * [misc]simplify: iters left: 5 (22 enodes) 1544005351.315 * * [misc]simplify: iters left: 4 (28 enodes) 1544005351.318 * * [misc]simplify: iters left: 3 (30 enodes) 1544005351.322 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005351.322 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005351.322 * * * * [misc]progress: [ 352 / 451 ] simplifiying candidate # 1544005351.323 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (sqrt (sqrt k)))) 1544005351.323 * * [misc]simplify: iters left: 6 (16 enodes) 1544005351.325 * * [misc]simplify: iters left: 5 (26 enodes) 1544005351.329 * * [misc]simplify: iters left: 4 (37 enodes) 1544005351.336 * * [misc]simplify: iters left: 3 (38 enodes) 1544005351.344 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005351.344 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005351.345 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005351.345 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.349 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.356 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.364 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.373 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544005351.374 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k)))))))) 1544005351.374 * * * * [misc]progress: [ 353 / 451 ] simplifiying candidate # 1544005351.374 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) 1) 1544005351.374 * * [misc]simplify: iters left: 6 (13 enodes) 1544005351.378 * * [misc]simplify: iters left: 5 (21 enodes) 1544005351.384 * * [misc]simplify: iters left: 4 (27 enodes) 1544005351.390 * * [misc]simplify: iters left: 3 (29 enodes) 1544005351.397 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544005351.397 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005351.397 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005351.398 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.403 * * [misc]simplify: iters left: 5 (22 enodes) 1544005351.406 * * [misc]simplify: iters left: 4 (28 enodes) 1544005351.410 * * [misc]simplify: iters left: 3 (30 enodes) 1544005351.414 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k)) 1544005351.414 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt k))))) 1544005351.414 * * * * [misc]progress: [ 354 / 451 ] simplifiying candidate # 1544005351.414 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.414 * * [misc]simplify: iters left: 6 (8 enodes) 1544005351.415 * * [misc]simplify: iters left: 5 (16 enodes) 1544005351.418 * * [misc]simplify: iters left: 4 (22 enodes) 1544005351.420 * * [misc]simplify: iters left: 3 (24 enodes) 1544005351.424 * * [misc]simplify: iters left: 2 (27 enodes) 1544005351.427 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005351.427 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005351.427 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005351.427 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.429 * * [misc]simplify: iters left: 5 (22 enodes) 1544005351.433 * * [misc]simplify: iters left: 4 (28 enodes) 1544005351.437 * * [misc]simplify: iters left: 3 (29 enodes) 1544005351.442 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.442 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))))) 1544005351.442 * * * * [misc]progress: [ 355 / 451 ] simplifiying candidate # 1544005351.442 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005351.442 * * [misc]simplify: iters left: 6 (11 enodes) 1544005351.446 * * [misc]simplify: iters left: 5 (18 enodes) 1544005351.451 * * [misc]simplify: iters left: 4 (23 enodes) 1544005351.457 * * [misc]simplify: iters left: 3 (26 enodes) 1544005351.464 * * [misc]simplify: iters left: 2 (32 enodes) 1544005351.472 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.472 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005351.472 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005351.472 * * [misc]simplify: iters left: 6 (16 enodes) 1544005351.474 * * [misc]simplify: iters left: 5 (24 enodes) 1544005351.478 * * [misc]simplify: iters left: 4 (33 enodes) 1544005351.482 * * [misc]simplify: iters left: 3 (35 enodes) 1544005351.486 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005351.486 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005351.486 * * * * [misc]progress: [ 356 / 451 ] simplifiying candidate # 1544005351.486 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005351.486 * * [misc]simplify: iters left: 6 (9 enodes) 1544005351.488 * * [misc]simplify: iters left: 5 (15 enodes) 1544005351.490 * * [misc]simplify: iters left: 4 (20 enodes) 1544005351.494 * * [misc]simplify: iters left: 3 (23 enodes) 1544005351.497 * * [misc]simplify: iters left: 2 (29 enodes) 1544005351.500 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.500 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.501 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.501 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.503 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.506 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.510 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.514 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005351.514 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005351.514 * * * * [misc]progress: [ 357 / 451 ] simplifiying candidate # 1544005351.515 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544005351.515 * * [misc]simplify: iters left: 6 (9 enodes) 1544005351.517 * * [misc]simplify: iters left: 5 (15 enodes) 1544005351.519 * * [misc]simplify: iters left: 4 (20 enodes) 1544005351.522 * * [misc]simplify: iters left: 3 (23 enodes) 1544005351.524 * * [misc]simplify: iters left: 2 (24 enodes) 1544005351.526 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.526 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.526 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.526 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.528 * * [misc]simplify: iters left: 5 (22 enodes) 1544005351.531 * * [misc]simplify: iters left: 4 (31 enodes) 1544005351.535 * * [misc]simplify: iters left: 3 (32 enodes) 1544005351.540 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.540 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.540 * * * * [misc]progress: [ 358 / 451 ] simplifiying candidate # 1544005351.540 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005351.540 * * [misc]simplify: iters left: 6 (9 enodes) 1544005351.541 * * [misc]simplify: iters left: 5 (15 enodes) 1544005351.544 * * [misc]simplify: iters left: 4 (20 enodes) 1544005351.546 * * [misc]simplify: iters left: 3 (23 enodes) 1544005351.549 * * [misc]simplify: iters left: 2 (29 enodes) 1544005351.555 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.556 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.556 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.556 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.560 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.567 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.575 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.585 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005351.585 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005351.585 * * * * [misc]progress: [ 359 / 451 ] simplifiying candidate # 1544005351.586 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544005351.586 * * [misc]simplify: iters left: 6 (8 enodes) 1544005351.588 * * [misc]simplify: iters left: 5 (14 enodes) 1544005351.593 * * [misc]simplify: iters left: 4 (19 enodes) 1544005351.598 * * [misc]simplify: iters left: 3 (23 enodes) 1544005351.602 * * [misc]simplify: iters left: 2 (24 enodes) 1544005351.606 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005351.607 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.607 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.607 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.611 * * [misc]simplify: iters left: 5 (22 enodes) 1544005351.614 * * [misc]simplify: iters left: 4 (31 enodes) 1544005351.619 * * [misc]simplify: iters left: 3 (32 enodes) 1544005351.623 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.623 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.623 * * * * [misc]progress: [ 360 / 451 ] simplifiying candidate # 1544005351.623 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.623 * * [misc]simplify: iters left: 6 (11 enodes) 1544005351.625 * * [misc]simplify: iters left: 5 (18 enodes) 1544005351.627 * * [misc]simplify: iters left: 4 (24 enodes) 1544005351.630 * * [misc]simplify: iters left: 3 (29 enodes) 1544005351.633 * * [misc]simplify: iters left: 2 (30 enodes) 1544005351.637 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.637 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005351.637 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005351.637 * * [misc]simplify: iters left: 6 (16 enodes) 1544005351.640 * * [misc]simplify: iters left: 5 (24 enodes) 1544005351.643 * * [misc]simplify: iters left: 4 (33 enodes) 1544005351.651 * * [misc]simplify: iters left: 3 (35 enodes) 1544005351.660 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005351.660 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005351.661 * * * * [misc]progress: [ 361 / 451 ] simplifiying candidate # 1544005351.661 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005351.661 * * [misc]simplify: iters left: 6 (8 enodes) 1544005351.663 * * [misc]simplify: iters left: 5 (13 enodes) 1544005351.667 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544005351.667 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005351.667 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005351.668 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.672 * * [misc]simplify: iters left: 5 (22 enodes) 1544005351.678 * * [misc]simplify: iters left: 4 (28 enodes) 1544005351.686 * * [misc]simplify: iters left: 3 (30 enodes) 1544005351.693 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544005351.693 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))) 1544005351.693 * * * * [misc]progress: [ 362 / 451 ] simplifiying candidate # 1544005351.693 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005351.694 * * [misc]simplify: iters left: 6 (10 enodes) 1544005351.696 * * [misc]simplify: iters left: 5 (15 enodes) 1544005351.702 * * [misc]simplify: iters left: 4 (18 enodes) 1544005351.707 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544005351.707 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.707 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.707 * * [misc]simplify: iters left: 6 (16 enodes) 1544005351.712 * * [misc]simplify: iters left: 5 (24 enodes) 1544005351.719 * * [misc]simplify: iters left: 4 (33 enodes) 1544005351.728 * * [misc]simplify: iters left: 3 (35 enodes) 1544005351.738 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.738 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.738 * * * * [misc]progress: [ 363 / 451 ] simplifiying candidate # 1544005351.739 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544005351.739 * * [misc]simplify: iters left: 6 (9 enodes) 1544005351.742 * * [misc]simplify: iters left: 5 (14 enodes) 1544005351.746 * * [misc]simplify: iters left: 4 (17 enodes) 1544005351.750 * * [misc]simplify: iters left: 3 (20 enodes) 1544005351.754 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544005351.754 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.754 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.755 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.759 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.766 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.774 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.783 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005351.783 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005351.783 * * * * [misc]progress: [ 364 / 451 ] simplifiying candidate # 1544005351.783 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544005351.783 * * [misc]simplify: iters left: 6 (10 enodes) 1544005351.786 * * [misc]simplify: iters left: 5 (15 enodes) 1544005351.790 * * [misc]simplify: iters left: 4 (18 enodes) 1544005351.795 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544005351.795 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.796 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.796 * * [misc]simplify: iters left: 6 (16 enodes) 1544005351.801 * * [misc]simplify: iters left: 5 (24 enodes) 1544005351.807 * * [misc]simplify: iters left: 4 (33 enodes) 1544005351.816 * * [misc]simplify: iters left: 3 (35 enodes) 1544005351.825 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.825 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.825 * * * * [misc]progress: [ 365 / 451 ] simplifiying candidate # 1544005351.826 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544005351.826 * * [misc]simplify: iters left: 6 (8 enodes) 1544005351.828 * * [misc]simplify: iters left: 5 (13 enodes) 1544005351.832 * * [misc]simplify: iters left: 4 (16 enodes) 1544005351.836 * * [misc]simplify: iters left: 3 (20 enodes) 1544005351.840 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544005351.840 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.840 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.841 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.845 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.850 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.854 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.859 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005351.859 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005351.859 * * * * [misc]progress: [ 366 / 451 ] simplifiying candidate # 1544005351.859 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.859 * * [misc]simplify: iters left: 6 (9 enodes) 1544005351.860 * * [misc]simplify: iters left: 5 (15 enodes) 1544005351.862 * * [misc]simplify: iters left: 4 (21 enodes) 1544005351.865 * * [misc]simplify: iters left: 3 (26 enodes) 1544005351.868 * * [misc]simplify: iters left: 2 (27 enodes) 1544005351.872 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005351.872 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005351.872 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005351.872 * * [misc]simplify: iters left: 6 (15 enodes) 1544005351.874 * * [misc]simplify: iters left: 5 (23 enodes) 1544005351.878 * * [misc]simplify: iters left: 4 (32 enodes) 1544005351.882 * * [misc]simplify: iters left: 3 (33 enodes) 1544005351.886 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.886 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.886 * * * * [misc]progress: [ 367 / 451 ] simplifiying candidate # 1544005351.887 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005351.887 * * [misc]simplify: iters left: 6 (10 enodes) 1544005351.888 * * [misc]simplify: iters left: 5 (15 enodes) 1544005351.890 * * [misc]simplify: iters left: 4 (18 enodes) 1544005351.893 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544005351.893 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005351.893 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005351.893 * * [misc]simplify: iters left: 6 (16 enodes) 1544005351.895 * * [misc]simplify: iters left: 5 (24 enodes) 1544005351.899 * * [misc]simplify: iters left: 4 (33 enodes) 1544005351.904 * * [misc]simplify: iters left: 3 (35 enodes) 1544005351.908 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005351.908 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005351.908 * * * * [misc]progress: [ 368 / 451 ] simplifiying candidate # 1544005351.908 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.909 * * [misc]simplify: iters left: 6 (7 enodes) 1544005351.910 * * [misc]simplify: iters left: 5 (11 enodes) 1544005351.911 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544005351.911 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.911 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.911 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.915 * * [misc]simplify: iters left: 5 (22 enodes) 1544005351.920 * * [misc]simplify: iters left: 4 (28 enodes) 1544005351.924 * * [misc]simplify: iters left: 3 (30 enodes) 1544005351.929 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005351.929 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005351.929 * * * * [misc]progress: [ 369 / 451 ] simplifiying candidate # 1544005351.929 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544005351.929 * * [misc]simplify: iters left: 6 (8 enodes) 1544005351.931 * * [misc]simplify: iters left: 5 (12 enodes) 1544005351.932 * * [misc]simplify: iters left: 4 (15 enodes) 1544005351.934 * * [misc]simplify: iters left: 3 (18 enodes) 1544005351.936 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005351.936 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.936 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.936 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.938 * * [misc]simplify: iters left: 5 (22 enodes) 1544005351.941 * * [misc]simplify: iters left: 4 (31 enodes) 1544005351.945 * * [misc]simplify: iters left: 3 (32 enodes) 1544005351.951 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.951 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.951 * * * * [misc]progress: [ 370 / 451 ] simplifiying candidate # 1544005351.951 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.951 * * [misc]simplify: iters left: 6 (7 enodes) 1544005351.953 * * [misc]simplify: iters left: 5 (11 enodes) 1544005351.956 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544005351.956 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005351.957 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005351.957 * * [misc]simplify: iters left: 6 (14 enodes) 1544005351.961 * * [misc]simplify: iters left: 5 (22 enodes) 1544005351.967 * * [misc]simplify: iters left: 4 (28 enodes) 1544005351.975 * * [misc]simplify: iters left: 3 (30 enodes) 1544005351.982 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005351.983 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005351.983 * * * * [misc]progress: [ 371 / 451 ] simplifiying candidate # 1544005351.983 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 1544005351.983 * * [misc]simplify: iters left: 6 (7 enodes) 1544005351.985 * * [misc]simplify: iters left: 5 (11 enodes) 1544005351.989 * * [misc]simplify: iters left: 4 (14 enodes) 1544005351.992 * * [misc]simplify: iters left: 3 (17 enodes) 1544005351.996 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005351.996 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005351.996 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005351.996 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.000 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.007 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.015 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.025 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.025 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.025 * * * * [misc]progress: [ 372 / 451 ] simplifiying candidate # 1544005352.025 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.025 * * [misc]simplify: iters left: 6 (9 enodes) 1544005352.029 * * [misc]simplify: iters left: 5 (15 enodes) 1544005352.033 * * [misc]simplify: iters left: 4 (20 enodes) 1544005352.039 * * [misc]simplify: iters left: 3 (33 enodes) 1544005352.048 * * [misc]simplify: iters left: 2 (35 enodes) 1544005352.052 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.052 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005352.052 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005352.052 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.057 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.065 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.073 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.081 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.082 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.082 * * * * [misc]progress: [ 373 / 451 ] simplifiying candidate # 1544005352.082 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005352.082 * * [misc]simplify: iters left: 6 (9 enodes) 1544005352.086 * * [misc]simplify: iters left: 5 (14 enodes) 1544005352.090 * * [misc]simplify: iters left: 4 (16 enodes) 1544005352.094 * * [misc]simplify: iters left: 3 (19 enodes) 1544005352.098 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544005352.098 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005352.098 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005352.098 * * [misc]simplify: iters left: 6 (15 enodes) 1544005352.103 * * [misc]simplify: iters left: 5 (23 enodes) 1544005352.110 * * [misc]simplify: iters left: 4 (32 enodes) 1544005352.119 * * [misc]simplify: iters left: 3 (33 enodes) 1544005352.127 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.127 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.127 * * * * [misc]progress: [ 374 / 451 ] simplifiying candidate # 1544005352.128 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544005352.128 * * [misc]simplify: iters left: 5 (8 enodes) 1544005352.131 * * [misc]simplify: iters left: 4 (12 enodes) 1544005352.134 * * [misc]simplify: iters left: 3 (15 enodes) 1544005352.138 * * [misc]simplify: iters left: 2 (17 enodes) 1544005352.140 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.140 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.141 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.141 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.145 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.150 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.158 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.166 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.166 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.166 * * * * [misc]progress: [ 375 / 451 ] simplifiying candidate # 1544005352.167 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) 1544005352.167 * * [misc]simplify: iters left: 5 (4 enodes) 1544005352.170 * * [misc]simplify: iters left: 4 (8 enodes) 1544005352.170 * [exit]simplify: Simplified to 1 1544005352.170 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005352.171 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005352.171 * * [misc]simplify: iters left: 6 (13 enodes) 1544005352.175 * * [misc]simplify: iters left: 5 (21 enodes) 1544005352.181 * * [misc]simplify: iters left: 4 (27 enodes) 1544005352.189 * * [misc]simplify: iters left: 3 (30 enodes) 1544005352.196 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005352.196 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005352.196 * * * * [misc]progress: [ 376 / 451 ] simplifiying candidate # 1544005352.196 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544005352.197 * * [misc]simplify: iters left: 5 (8 enodes) 1544005352.200 * * [misc]simplify: iters left: 4 (12 enodes) 1544005352.203 * * [misc]simplify: iters left: 3 (15 enodes) 1544005352.207 * * [misc]simplify: iters left: 2 (17 enodes) 1544005352.210 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.210 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.210 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.210 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.216 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.223 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.231 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.240 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.240 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.240 * * * * [misc]progress: [ 377 / 451 ] simplifiying candidate # 1544005352.240 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) 1544005352.240 * * [misc]simplify: iters left: 5 (4 enodes) 1544005352.244 * * [misc]simplify: iters left: 4 (8 enodes) 1544005352.244 * [exit]simplify: Simplified to 1 1544005352.244 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005352.245 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005352.245 * * [misc]simplify: iters left: 6 (13 enodes) 1544005352.249 * * [misc]simplify: iters left: 5 (21 enodes) 1544005352.255 * * [misc]simplify: iters left: 4 (27 enodes) 1544005352.263 * * [misc]simplify: iters left: 3 (30 enodes) 1544005352.270 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005352.270 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005352.270 * * * * [misc]progress: [ 378 / 451 ] simplifiying candidate # 1544005352.271 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.271 * * [misc]simplify: iters left: 6 (9 enodes) 1544005352.274 * * [misc]simplify: iters left: 5 (15 enodes) 1544005352.278 * * [misc]simplify: iters left: 4 (21 enodes) 1544005352.284 * * [misc]simplify: iters left: 3 (26 enodes) 1544005352.291 * * [misc]simplify: iters left: 2 (27 enodes) 1544005352.297 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.297 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))) 1544005352.298 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005352.298 * * [misc]simplify: iters left: 6 (15 enodes) 1544005352.303 * * [misc]simplify: iters left: 5 (23 enodes) 1544005352.309 * * [misc]simplify: iters left: 4 (32 enodes) 1544005352.317 * * [misc]simplify: iters left: 3 (33 enodes) 1544005352.325 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005352.325 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005352.325 * * * * [misc]progress: [ 379 / 451 ] simplifiying candidate # 1544005352.325 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005352.325 * * [misc]simplify: iters left: 6 (10 enodes) 1544005352.328 * * [misc]simplify: iters left: 5 (15 enodes) 1544005352.333 * * [misc]simplify: iters left: 4 (18 enodes) 1544005352.337 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544005352.337 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005352.338 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005352.338 * * [misc]simplify: iters left: 6 (16 enodes) 1544005352.343 * * [misc]simplify: iters left: 5 (24 enodes) 1544005352.351 * * [misc]simplify: iters left: 4 (33 enodes) 1544005352.360 * * [misc]simplify: iters left: 3 (35 enodes) 1544005352.371 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544005352.371 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))) 1544005352.371 * * * * [misc]progress: [ 380 / 451 ] simplifiying candidate # 1544005352.371 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005352.371 * * [misc]simplify: iters left: 6 (7 enodes) 1544005352.373 * * [misc]simplify: iters left: 5 (11 enodes) 1544005352.376 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544005352.376 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005352.376 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005352.377 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.381 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.387 * * [misc]simplify: iters left: 4 (28 enodes) 1544005352.394 * * [misc]simplify: iters left: 3 (30 enodes) 1544005352.402 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005352.402 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005352.402 * * * * [misc]progress: [ 381 / 451 ] simplifiying candidate # 1544005352.403 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544005352.403 * * [misc]simplify: iters left: 6 (8 enodes) 1544005352.406 * * [misc]simplify: iters left: 5 (12 enodes) 1544005352.410 * * [misc]simplify: iters left: 4 (15 enodes) 1544005352.413 * * [misc]simplify: iters left: 3 (18 enodes) 1544005352.417 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.417 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.417 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.417 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.421 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.428 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.436 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.444 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.444 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.444 * * * * [misc]progress: [ 382 / 451 ] simplifiying candidate # 1544005352.444 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005352.445 * * [misc]simplify: iters left: 6 (7 enodes) 1544005352.447 * * [misc]simplify: iters left: 5 (11 enodes) 1544005352.450 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544005352.450 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))) 1544005352.450 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544005352.450 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.455 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.462 * * [misc]simplify: iters left: 4 (28 enodes) 1544005352.466 * * [misc]simplify: iters left: 3 (30 enodes) 1544005352.470 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544005352.470 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1544005352.470 * * * * [misc]progress: [ 383 / 451 ] simplifiying candidate # 1544005352.470 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 1544005352.470 * * [misc]simplify: iters left: 6 (7 enodes) 1544005352.471 * * [misc]simplify: iters left: 5 (11 enodes) 1544005352.473 * * [misc]simplify: iters left: 4 (14 enodes) 1544005352.475 * * [misc]simplify: iters left: 3 (17 enodes) 1544005352.477 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.477 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.477 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.477 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.479 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.482 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.486 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.492 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.492 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.492 * * * * [misc]progress: [ 384 / 451 ] simplifiying candidate # 1544005352.492 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.492 * * [misc]simplify: iters left: 6 (8 enodes) 1544005352.495 * * [misc]simplify: iters left: 5 (12 enodes) 1544005352.498 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005352.498 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005352.498 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005352.499 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.503 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.510 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.519 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.527 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.527 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.528 * * * * [misc]progress: [ 385 / 451 ] simplifiying candidate # 1544005352.528 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005352.528 * * [misc]simplify: iters left: 6 (8 enodes) 1544005352.531 * * [misc]simplify: iters left: 5 (11 enodes) 1544005352.534 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544005352.534 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005352.534 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005352.534 * * [misc]simplify: iters left: 6 (15 enodes) 1544005352.539 * * [misc]simplify: iters left: 5 (23 enodes) 1544005352.546 * * [misc]simplify: iters left: 4 (32 enodes) 1544005352.554 * * [misc]simplify: iters left: 3 (33 enodes) 1544005352.563 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.563 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.563 * * * * [misc]progress: [ 386 / 451 ] simplifiying candidate # 1544005352.564 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 1544005352.564 * * [misc]simplify: iters left: 5 (7 enodes) 1544005352.566 * * [misc]simplify: iters left: 4 (9 enodes) 1544005352.568 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.568 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.569 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.569 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.573 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.580 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.588 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.596 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.596 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.597 * * * * [misc]progress: [ 387 / 451 ] simplifiying candidate # 1544005352.597 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) 1544005352.597 * * [misc]simplify: iters left: 4 (4 enodes) 1544005352.599 * * [misc]simplify: iters left: 3 (6 enodes) 1544005352.600 * [exit]simplify: Simplified to 1 1544005352.600 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005352.600 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005352.600 * * [misc]simplify: iters left: 6 (13 enodes) 1544005352.604 * * [misc]simplify: iters left: 5 (21 enodes) 1544005352.610 * * [misc]simplify: iters left: 4 (27 enodes) 1544005352.617 * * [misc]simplify: iters left: 3 (30 enodes) 1544005352.625 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005352.625 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005352.625 * * * * [misc]progress: [ 388 / 451 ] simplifiying candidate # 1544005352.625 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 1544005352.625 * * [misc]simplify: iters left: 5 (7 enodes) 1544005352.628 * * [misc]simplify: iters left: 4 (9 enodes) 1544005352.630 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.630 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.630 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.630 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.634 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.639 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.645 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.649 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.649 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.649 * * * * [misc]progress: [ 389 / 451 ] simplifiying candidate # 1544005352.649 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1544005352.649 * * [misc]simplify: iters left: 4 (3 enodes) 1544005352.650 * * [misc]simplify: iters left: 3 (5 enodes) 1544005352.650 * [exit]simplify: Simplified to 1 1544005352.650 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005352.650 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005352.650 * * [misc]simplify: iters left: 6 (13 enodes) 1544005352.652 * * [misc]simplify: iters left: 5 (21 enodes) 1544005352.655 * * [misc]simplify: iters left: 4 (27 enodes) 1544005352.659 * * [misc]simplify: iters left: 3 (30 enodes) 1544005352.663 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005352.663 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005352.663 * * * * [misc]progress: [ 390 / 451 ] simplifiying candidate # 1544005352.663 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.663 * * [misc]simplify: iters left: 6 (7 enodes) 1544005352.664 * * [misc]simplify: iters left: 5 (11 enodes) 1544005352.666 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005352.666 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005352.666 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005352.666 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.668 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.672 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.676 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.680 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.681 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.681 * * * * [misc]progress: [ 391 / 451 ] simplifiying candidate # 1544005352.681 * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005352.681 * * [misc]simplify: iters left: 6 (7 enodes) 1544005352.683 * * [misc]simplify: iters left: 5 (10 enodes) 1544005352.686 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544005352.686 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005352.686 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005352.687 * * [misc]simplify: iters left: 6 (15 enodes) 1544005352.691 * * [misc]simplify: iters left: 5 (23 enodes) 1544005352.698 * * [misc]simplify: iters left: 4 (32 enodes) 1544005352.707 * * [misc]simplify: iters left: 3 (33 enodes) 1544005352.716 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.717 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.717 * * * * [misc]progress: [ 392 / 451 ] simplifiying candidate # 1544005352.717 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.717 * * [misc]simplify: iters left: 5 (6 enodes) 1544005352.719 * * [misc]simplify: iters left: 4 (8 enodes) 1544005352.720 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.720 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.720 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.720 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.723 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.726 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.730 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.734 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.734 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.734 * * * * [misc]progress: [ 393 / 451 ] simplifiying candidate # 1544005352.734 * [enter]simplify: Simplifying (/ 1 (sqrt 1)) 1544005352.734 * * [misc]simplify: iters left: 3 (3 enodes) 1544005352.736 * * [misc]simplify: iters left: 2 (5 enodes) 1544005352.736 * [exit]simplify: Simplified to 1 1544005352.736 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005352.736 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005352.736 * * [misc]simplify: iters left: 6 (13 enodes) 1544005352.739 * * [misc]simplify: iters left: 5 (21 enodes) 1544005352.742 * * [misc]simplify: iters left: 4 (27 enodes) 1544005352.746 * * [misc]simplify: iters left: 3 (30 enodes) 1544005352.750 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005352.750 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005352.750 * * * * [misc]progress: [ 394 / 451 ] simplifiying candidate # 1544005352.750 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.750 * * [misc]simplify: iters left: 5 (6 enodes) 1544005352.751 * * [misc]simplify: iters left: 4 (8 enodes) 1544005352.753 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005352.753 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.753 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.753 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.758 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.765 * * [misc]simplify: iters left: 4 (31 enodes) 1544005352.773 * * [misc]simplify: iters left: 3 (32 enodes) 1544005352.782 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544005352.782 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))) 1544005352.782 * * * * [misc]progress: [ 395 / 451 ] simplifiying candidate # 1544005352.782 * [enter]simplify: Simplifying (/ 1 1) 1544005352.782 * * [misc]simplify: iters left: 2 (2 enodes) 1544005352.783 * * [misc]simplify: iters left: 1 (4 enodes) 1544005352.784 * [exit]simplify: Simplified to 1 1544005352.784 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005352.784 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005352.784 * * [misc]simplify: iters left: 6 (13 enodes) 1544005352.789 * * [misc]simplify: iters left: 5 (21 enodes) 1544005352.795 * * [misc]simplify: iters left: 4 (27 enodes) 1544005352.802 * * [misc]simplify: iters left: 3 (30 enodes) 1544005352.807 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544005352.807 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* 1 (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1544005352.807 * * * * [misc]progress: [ 396 / 451 ] simplifiying candidate # 1544005352.807 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.807 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.809 * * [misc]simplify: iters left: 5 (22 enodes) 1544005352.812 * * [misc]simplify: iters left: 4 (28 enodes) 1544005352.817 * * [misc]simplify: iters left: 3 (29 enodes) 1544005352.821 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.821 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005352.821 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005352.821 * * [misc]simplify: iters left: 6 (7 enodes) 1544005352.822 * * [misc]simplify: iters left: 5 (11 enodes) 1544005352.823 * * [misc]simplify: iters left: 4 (14 enodes) 1544005352.825 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544005352.825 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544005352.826 * * * * [misc]progress: [ 397 / 451 ] simplifiying candidate # 1544005352.826 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005352.826 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.828 * * [misc]simplify: iters left: 5 (21 enodes) 1544005352.831 * * [misc]simplify: iters left: 4 (27 enodes) 1544005352.838 * * [misc]simplify: iters left: 3 (29 enodes) 1544005352.846 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (fabs (cbrt (sqrt k)))) 1544005352.846 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005352.846 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005352.846 * * [misc]simplify: iters left: 6 (8 enodes) 1544005352.849 * * [misc]simplify: iters left: 5 (12 enodes) 1544005352.853 * * [misc]simplify: iters left: 4 (15 enodes) 1544005352.857 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544005352.857 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544005352.857 * * * * [misc]progress: [ 398 / 451 ] simplifiying candidate # 1544005352.857 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544005352.858 * * [misc]simplify: iters left: 6 (13 enodes) 1544005352.862 * * [misc]simplify: iters left: 5 (19 enodes) 1544005352.868 * * [misc]simplify: iters left: 4 (25 enodes) 1544005352.874 * * [misc]simplify: iters left: 3 (26 enodes) 1544005352.878 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544005352.878 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.878 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.878 * * [misc]simplify: iters left: 6 (7 enodes) 1544005352.880 * * [misc]simplify: iters left: 5 (11 enodes) 1544005352.881 * * [misc]simplify: iters left: 4 (14 enodes) 1544005352.883 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.883 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.883 * * * * [misc]progress: [ 399 / 451 ] simplifiying candidate # 1544005352.883 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt 1)) 1544005352.883 * * [misc]simplify: iters left: 6 (12 enodes) 1544005352.885 * * [misc]simplify: iters left: 5 (20 enodes) 1544005352.888 * * [misc]simplify: iters left: 4 (26 enodes) 1544005352.892 * * [misc]simplify: iters left: 3 (30 enodes) 1544005352.895 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- (/ k 2))) 1544005352.895 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow (* (* 2 n) PI) (- (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005352.895 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005352.895 * * [misc]simplify: iters left: 6 (6 enodes) 1544005352.896 * * [misc]simplify: iters left: 5 (10 enodes) 1544005352.897 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544005352.897 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow (* (* 2 n) PI) (- (/ k 2))) (/ 1 (sqrt k))))) 1544005352.898 * * * * [misc]progress: [ 400 / 451 ] simplifiying candidate # 1544005352.898 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544005352.898 * * [misc]simplify: iters left: 6 (13 enodes) 1544005352.900 * * [misc]simplify: iters left: 5 (19 enodes) 1544005352.902 * * [misc]simplify: iters left: 4 (25 enodes) 1544005352.905 * * [misc]simplify: iters left: 3 (26 enodes) 1544005352.910 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544005352.910 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.910 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.910 * * [misc]simplify: iters left: 6 (7 enodes) 1544005352.912 * * [misc]simplify: iters left: 5 (11 enodes) 1544005352.915 * * [misc]simplify: iters left: 4 (14 enodes) 1544005352.919 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544005352.919 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544005352.919 * * * * [misc]progress: [ 401 / 451 ] simplifiying candidate # 1544005352.920 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) 1) 1544005352.920 * * [misc]simplify: iters left: 6 (11 enodes) 1544005352.923 * * [misc]simplify: iters left: 5 (19 enodes) 1544005352.928 * * [misc]simplify: iters left: 4 (27 enodes) 1544005352.931 * * [misc]simplify: iters left: 3 (28 enodes) 1544005352.935 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- (/ k 2))) 1544005352.935 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow (* (* 2 n) PI) (- (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544005352.935 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544005352.935 * * [misc]simplify: iters left: 6 (6 enodes) 1544005352.936 * * [misc]simplify: iters left: 5 (10 enodes) 1544005352.937 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544005352.937 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (* (pow (* (* 2 n) PI) (- (/ k 2))) (/ 1 (sqrt k))))) 1544005352.937 * * * * [misc]progress: [ 402 / 451 ] simplifiying candidate # 1544005352.937 * * * * [misc]progress: [ 403 / 451 ] simplifiying candidate # 1544005352.937 * * * * [misc]progress: [ 404 / 451 ] simplifiying candidate # 1544005352.937 * * * * [misc]progress: [ 405 / 451 ] simplifiying candidate # 1544005352.938 * [enter]simplify: Simplifying (cbrt (sqrt (sqrt k))) 1544005352.938 * * [misc]simplify: iters left: 3 (4 enodes) 1544005352.938 * [exit]simplify: Simplified to (cbrt (sqrt (sqrt k))) 1544005352.938 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))))) 1544005352.938 * * * * [misc]progress: [ 406 / 451 ] simplifiying candidate # 1544005352.938 * [enter]simplify: Simplifying (sqrt (cbrt (sqrt k))) 1544005352.938 * * [misc]simplify: iters left: 3 (4 enodes) 1544005352.939 * [exit]simplify: Simplified to (sqrt (cbrt (sqrt k))) 1544005352.939 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k)))))) 1544005352.939 * * * * [misc]progress: [ 407 / 451 ] simplifiying candidate # 1544005352.939 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544005352.939 * * [misc]simplify: iters left: 3 (4 enodes) 1544005352.940 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544005352.940 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005352.940 * * * * [misc]progress: [ 408 / 451 ] simplifiying candidate # 1544005352.940 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544005352.940 * * [misc]simplify: iters left: 2 (3 enodes) 1544005352.940 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544005352.940 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt 1)) (sqrt (sqrt k))))) 1544005352.940 * * * * [misc]progress: [ 409 / 451 ] simplifiying candidate # 1544005352.940 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544005352.941 * * [misc]simplify: iters left: 3 (4 enodes) 1544005352.941 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544005352.941 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544005352.941 * * * * [misc]progress: [ 410 / 451 ] simplifiying candidate # 1544005352.941 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544005352.941 * * [misc]simplify: iters left: 2 (3 enodes) 1544005352.942 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544005352.942 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1) (sqrt (sqrt k))))) 1544005352.942 * * * * [misc]progress: [ 411 / 451 ] simplifiying candidate # 1544005352.942 * [enter]simplify: Simplifying (* (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1544005352.942 * * [misc]simplify: iters left: 6 (14 enodes) 1544005352.944 * * [misc]simplify: iters left: 5 (20 enodes) 1544005352.947 * * [misc]simplify: iters left: 4 (26 enodes) 1544005352.951 * * [misc]simplify: iters left: 3 (28 enodes) 1544005352.955 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544005352.955 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))))) 1544005352.955 * * * * [misc]progress: [ 412 / 451 ] simplifiying candidate # 1544005352.955 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1544005352.955 * * [misc]simplify: iters left: 6 (13 enodes) 1544005352.957 * * [misc]simplify: iters left: 5 (19 enodes) 1544005352.960 * * [misc]simplify: iters left: 4 (25 enodes) 1544005352.963 * * [misc]simplify: iters left: 3 (26 enodes) 1544005352.966 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1544005352.966 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))))) 1544005352.966 * * * * [misc]progress: [ 413 / 451 ] simplifiying candidate # 1544005352.966 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.966 * * [misc]simplify: iters left: 6 (11 enodes) 1544005352.968 * * [misc]simplify: iters left: 5 (15 enodes) 1544005352.970 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005352.970 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1544005352.971 * * * * [misc]progress: [ 414 / 451 ] simplifiying candidate # 1544005352.971 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005352.971 * * [misc]simplify: iters left: 6 (11 enodes) 1544005352.974 * * [misc]simplify: iters left: 5 (14 enodes) 1544005352.978 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) 1544005352.978 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (/ (- k) 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1544005352.978 * * * * [misc]progress: [ 415 / 451 ] simplifiying candidate # 1544005352.978 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544005352.978 * * [misc]simplify: iters left: 6 (10 enodes) 1544005352.981 * * [misc]simplify: iters left: 5 (12 enodes) 1544005352.985 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005352.985 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1544005352.985 * * * * [misc]progress: [ 416 / 451 ] simplifiying candidate # 1544005352.985 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt 1)) 1544005352.985 * * [misc]simplify: iters left: 6 (9 enodes) 1544005352.989 * * [misc]simplify: iters left: 5 (13 enodes) 1544005352.992 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1544005352.992 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1544005352.992 * * * * [misc]progress: [ 417 / 451 ] simplifiying candidate # 1544005352.992 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544005352.992 * * [misc]simplify: iters left: 6 (10 enodes) 1544005352.993 * * [misc]simplify: iters left: 5 (12 enodes) 1544005352.995 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) 1544005352.995 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1544005352.995 * * * * [misc]progress: [ 418 / 451 ] simplifiying candidate # 1544005352.995 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) 1) 1544005352.995 * * [misc]simplify: iters left: 6 (8 enodes) 1544005352.996 * * [misc]simplify: iters left: 5 (12 enodes) 1544005352.998 * * [misc]simplify: iters left: 4 (14 enodes) 1544005353.000 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544005353.000 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1544005353.000 * * * * [misc]progress: [ 419 / 451 ] simplifiying candidate # 1544005353.000 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005353.000 * * [misc]simplify: iters left: 6 (16 enodes) 1544005353.003 * * [misc]simplify: iters left: 5 (28 enodes) 1544005353.007 * * [misc]simplify: iters left: 4 (43 enodes) 1544005353.012 * * [misc]simplify: iters left: 3 (48 enodes) 1544005353.018 * * [misc]simplify: iters left: 2 (51 enodes) 1544005353.025 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544005353.025 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))))))) 1544005353.025 * * * * [misc]progress: [ 420 / 451 ] simplifiying candidate # 1544005353.025 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005353.025 * * [misc]simplify: iters left: 6 (16 enodes) 1544005353.028 * * [misc]simplify: iters left: 5 (25 enodes) 1544005353.031 * * [misc]simplify: iters left: 4 (33 enodes) 1544005353.036 * * [misc]simplify: iters left: 3 (36 enodes) 1544005353.041 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005353.041 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (/ (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))))))) 1544005353.041 * * * * [misc]progress: [ 421 / 451 ] simplifiying candidate # 1544005353.041 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544005353.041 * * [misc]simplify: iters left: 6 (15 enodes) 1544005353.044 * * [misc]simplify: iters left: 5 (23 enodes) 1544005353.047 * * [misc]simplify: iters left: 4 (31 enodes) 1544005353.051 * * [misc]simplify: iters left: 3 (33 enodes) 1544005353.056 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544005353.056 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))))))) 1544005353.056 * * * * [misc]progress: [ 422 / 451 ] simplifiying candidate # 1544005353.056 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt 1)) 1544005353.056 * * [misc]simplify: iters left: 6 (14 enodes) 1544005353.059 * * [misc]simplify: iters left: 5 (24 enodes) 1544005353.062 * * [misc]simplify: iters left: 4 (32 enodes) 1544005353.066 * * [misc]simplify: iters left: 3 (34 enodes) 1544005353.070 * * [misc]simplify: iters left: 2 (40 enodes) 1544005353.075 * * [misc]simplify: iters left: 1 (42 enodes) 1544005353.079 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005353.079 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))) 1544005353.079 * * * * [misc]progress: [ 423 / 451 ] simplifiying candidate # 1544005353.079 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544005353.079 * * [misc]simplify: iters left: 6 (15 enodes) 1544005353.081 * * [misc]simplify: iters left: 5 (23 enodes) 1544005353.084 * * [misc]simplify: iters left: 4 (31 enodes) 1544005353.088 * * [misc]simplify: iters left: 3 (33 enodes) 1544005353.093 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544005353.093 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))))))) 1544005353.093 * * * * [misc]progress: [ 424 / 451 ] simplifiying candidate # 1544005353.093 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1544005353.093 * * [misc]simplify: iters left: 6 (13 enodes) 1544005353.095 * * [misc]simplify: iters left: 5 (23 enodes) 1544005353.098 * * [misc]simplify: iters left: 4 (35 enodes) 1544005353.103 * * [misc]simplify: iters left: 3 (50 enodes) 1544005353.110 * * [misc]simplify: iters left: 2 (76 enodes) 1544005353.120 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) 1544005353.120 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))) 1544005353.120 * * * * [misc]progress: [ 425 / 451 ] simplifiying candidate # 1544005353.120 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005353.120 * * [misc]simplify: iters left: 6 (15 enodes) 1544005353.123 * * [misc]simplify: iters left: 5 (23 enodes) 1544005353.129 * * [misc]simplify: iters left: 4 (29 enodes) 1544005353.137 * * [misc]simplify: iters left: 3 (30 enodes) 1544005353.145 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005353.145 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (sqrt k)))))))) 1544005353.145 * * * * [misc]progress: [ 426 / 451 ] simplifiying candidate # 1544005353.145 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005353.146 * * [misc]simplify: iters left: 6 (15 enodes) 1544005353.150 * * [misc]simplify: iters left: 5 (22 enodes) 1544005353.156 * * [misc]simplify: iters left: 4 (28 enodes) 1544005353.164 * * [misc]simplify: iters left: 3 (29 enodes) 1544005353.171 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544005353.171 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (cbrt (sqrt k)))))))) 1544005353.171 * * * * [misc]progress: [ 427 / 451 ] simplifiying candidate # 1544005353.171 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005353.171 * * [misc]simplify: iters left: 6 (14 enodes) 1544005353.176 * * [misc]simplify: iters left: 5 (20 enodes) 1544005353.181 * * [misc]simplify: iters left: 4 (26 enodes) 1544005353.188 * * [misc]simplify: iters left: 3 (28 enodes) 1544005353.196 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005353.196 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))))))) 1544005353.196 * * * * [misc]progress: [ 428 / 451 ] simplifiying candidate # 1544005353.196 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt 1)) 1544005353.196 * * [misc]simplify: iters left: 6 (13 enodes) 1544005353.201 * * [misc]simplify: iters left: 5 (21 enodes) 1544005353.206 * * [misc]simplify: iters left: 4 (27 enodes) 1544005353.214 * * [misc]simplify: iters left: 3 (31 enodes) 1544005353.221 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544005353.221 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))) 1544005353.221 * * * * [misc]progress: [ 429 / 451 ] simplifiying candidate # 1544005353.221 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005353.221 * * [misc]simplify: iters left: 6 (14 enodes) 1544005353.225 * * [misc]simplify: iters left: 5 (20 enodes) 1544005353.231 * * [misc]simplify: iters left: 4 (26 enodes) 1544005353.240 * * [misc]simplify: iters left: 3 (28 enodes) 1544005353.247 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544005353.247 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (sqrt k)))))))) 1544005353.248 * * * * [misc]progress: [ 430 / 451 ] simplifiying candidate # 1544005353.248 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) 1) 1544005353.248 * * [misc]simplify: iters left: 6 (12 enodes) 1544005353.252 * * [misc]simplify: iters left: 5 (20 enodes) 1544005353.258 * * [misc]simplify: iters left: 4 (28 enodes) 1544005353.265 * * [misc]simplify: iters left: 3 (30 enodes) 1544005353.272 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) 1544005353.272 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))))))) 1544005353.273 * * * * [misc]progress: [ 431 / 451 ] simplifiying candidate # 1544005353.273 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544005353.273 * * [misc]simplify: iters left: 6 (7 enodes) 1544005353.276 * * [misc]simplify: iters left: 5 (11 enodes) 1544005353.279 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544005353.279 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1544005353.279 * * * * [misc]progress: [ 432 / 451 ] simplifiying candidate # 1544005353.280 * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544005353.280 * * [misc]simplify: iters left: 6 (7 enodes) 1544005353.282 * * [misc]simplify: iters left: 5 (10 enodes) 1544005353.285 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544005353.285 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1544005353.285 * * * * [misc]progress: [ 433 / 451 ] simplifiying candidate # 1544005353.285 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544005353.285 * * [misc]simplify: iters left: 5 (6 enodes) 1544005353.287 * * [misc]simplify: iters left: 4 (8 enodes) 1544005353.289 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005353.289 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1544005353.289 * * * * [misc]progress: [ 434 / 451 ] simplifiying candidate # 1544005353.289 * [enter]simplify: Simplifying (/ 1 (sqrt 1)) 1544005353.289 * * [misc]simplify: iters left: 3 (3 enodes) 1544005353.291 * * [misc]simplify: iters left: 2 (5 enodes) 1544005353.292 * [exit]simplify: Simplified to 1 1544005353.292 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))))) 1544005353.292 * * * * [misc]progress: [ 435 / 451 ] simplifiying candidate # 1544005353.293 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544005353.293 * * [misc]simplify: iters left: 5 (6 enodes) 1544005353.294 * * [misc]simplify: iters left: 4 (8 enodes) 1544005353.297 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544005353.297 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1544005353.297 * * * * [misc]progress: [ 436 / 451 ] simplifiying candidate # 1544005353.297 * [enter]simplify: Simplifying (/ 1 1) 1544005353.297 * * [misc]simplify: iters left: 2 (2 enodes) 1544005353.298 * * [misc]simplify: iters left: 1 (4 enodes) 1544005353.298 * [exit]simplify: Simplified to 1 1544005353.298 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))))) 1544005353.299 * * * * [misc]progress: [ 437 / 451 ] simplifiying candidate # 1544005353.299 * * * * [misc]progress: [ 438 / 451 ] simplifiying candidate # 1544005353.299 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544005353.299 * * [misc]simplify: iters left: 5 (9 enodes) 1544005353.302 * * [misc]simplify: iters left: 4 (15 enodes) 1544005353.306 * * [misc]simplify: iters left: 3 (21 enodes) 1544005353.312 * * [misc]simplify: iters left: 2 (22 enodes) 1544005353.318 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544005353.318 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k))))))) 1544005353.318 * * * * [misc]progress: [ 439 / 451 ] simplifiying candidate # 1544005353.318 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544005353.318 * * [misc]simplify: iters left: 5 (9 enodes) 1544005353.321 * * [misc]simplify: iters left: 4 (15 enodes) 1544005353.325 * * [misc]simplify: iters left: 3 (21 enodes) 1544005353.332 * * [misc]simplify: iters left: 2 (22 enodes) 1544005353.337 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544005353.337 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* PI n) 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))))) 1544005353.337 * * * * [misc]progress: [ 440 / 451 ] simplifiying candidate # 1544005353.338 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005353.338 * * [misc]simplify: iters left: 4 (5 enodes) 1544005353.339 * * [misc]simplify: iters left: 3 (9 enodes) 1544005353.342 * * [misc]simplify: iters left: 2 (15 enodes) 1544005353.346 * * [misc]simplify: iters left: 1 (17 enodes) 1544005353.350 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005353.350 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005353.350 * * * * [misc]progress: [ 441 / 451 ] simplifiying candidate # 1544005353.350 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005353.350 * * [misc]simplify: iters left: 4 (5 enodes) 1544005353.352 * * [misc]simplify: iters left: 3 (9 enodes) 1544005353.354 * * [misc]simplify: iters left: 2 (15 enodes) 1544005353.358 * * [misc]simplify: iters left: 1 (17 enodes) 1544005353.362 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005353.362 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005353.362 * * * * [misc]progress: [ 442 / 451 ] simplifiying candidate # 1544005353.363 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005353.363 * * [misc]simplify: iters left: 4 (5 enodes) 1544005353.364 * * [misc]simplify: iters left: 3 (9 enodes) 1544005353.367 * * [misc]simplify: iters left: 2 (15 enodes) 1544005353.371 * * [misc]simplify: iters left: 1 (17 enodes) 1544005353.375 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005353.375 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ (pow (* (* PI n) 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005353.375 * * * * [misc]progress: [ 443 / 451 ] simplifiying candidate # 1544005353.375 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005353.375 * * [misc]simplify: iters left: 4 (5 enodes) 1544005353.377 * * [misc]simplify: iters left: 3 (9 enodes) 1544005353.380 * * [misc]simplify: iters left: 2 (15 enodes) 1544005353.384 * * [misc]simplify: iters left: 1 (17 enodes) 1544005353.388 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005353.388 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005353.388 * * * * [misc]progress: [ 444 / 451 ] simplifiying candidate # 1544005353.388 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005353.388 * * [misc]simplify: iters left: 4 (5 enodes) 1544005353.390 * * [misc]simplify: iters left: 3 (9 enodes) 1544005353.394 * * [misc]simplify: iters left: 2 (15 enodes) 1544005353.398 * * [misc]simplify: iters left: 1 (17 enodes) 1544005353.402 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005353.402 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005353.402 * * * * [misc]progress: [ 445 / 451 ] simplifiying candidate # 1544005353.402 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544005353.402 * * [misc]simplify: iters left: 4 (5 enodes) 1544005353.404 * * [misc]simplify: iters left: 3 (9 enodes) 1544005353.407 * * [misc]simplify: iters left: 2 (15 enodes) 1544005353.411 * * [misc]simplify: iters left: 1 (17 enodes) 1544005353.415 * [exit]simplify: Simplified to (* (* PI n) 2) 1544005353.415 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (* (* PI n) 2)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544005353.415 * * * * [misc]progress: [ 446 / 451 ] simplifiying candidate # 1544005353.415 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))) 1544005353.415 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544005353.415 * * * * [misc]progress: [ 447 / 451 ] simplifiying candidate # 1544005353.416 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))) 1544005353.416 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544005353.416 * * * * [misc]progress: [ 448 / 451 ] simplifiying candidate # 1544005353.416 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))) 1544005353.416 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544005353.416 * * * * [misc]progress: [ 449 / 451 ] simplifiying candidate # 1544005353.416 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) k)) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log n) k)) (- (+ (* +nan.0 (* (log n) (pow k 2))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow (log n) 2) (pow k 2))) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))))))))))))))))) 1544005353.416 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544005353.416 * * * * [misc]progress: [ 450 / 451 ] simplifiying candidate # 1544005353.417 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k)) (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))) 1544005353.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544005353.417 * * * * [misc]progress: [ 451 / 451 ] simplifiying candidate # 1544005353.417 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (- (+ (* +nan.0 (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (- (* +nan.0 (/ (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))))))) 1544005353.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) +nan.0)) 1544005353.417 * * * [misc]progress: adding candidates to table 1544005360.804 * [misc]progress: [Phase 3 of 3] Extracting. 1544005360.804 * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) 1544005360.807 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1544005360.807 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # #) 1544005360.913 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # # #) 1544005360.990 * * * [misc]regime: Found split indices: #