1539348201.644 * [misc]progress: [Phase 1 of 3] Setting up. 1539348201.644 * * * [misc]progress: [1/2] Preparing points 1539348201.644 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1539348201.646 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1539348201.650 * * * * [misc]points: Setting MPFR precision to 64 1539348201.652 * * * * [misc]points: Setting MPFR precision to 320 1539348201.653 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1539348201.659 * * * * [misc]points: Setting MPFR precision to 64 1539348201.661 * * * * [misc]points: Setting MPFR precision to 320 1539348201.663 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1539348201.669 * * * * [misc]points: Setting MPFR precision to 64 1539348201.673 * * * * [misc]points: Setting MPFR precision to 320 1539348201.676 * * * * [misc]points: Setting MPFR precision to 576 1539348201.679 * * * * [misc]points: Setting MPFR precision to 832 1539348201.683 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.688 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1539348201.702 * * * * [misc]points: Setting MPFR precision to 832 1539348201.709 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.716 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.724 * * * * [misc]points: Computing exacts for 256 points 1539348201.742 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.767 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.778 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348201.778 * * * * [misc]points: Sampling 208 additional inputs, on iter 1 have 48 / 256 1539348201.779 * * * * [misc]points: Computing exacts on every 13 of 208 points to ramp up precision 1539348201.787 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.788 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.788 * * * * [misc]points: Computing exacts on every 6 of 208 points to ramp up precision 1539348201.797 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.798 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.800 * * * * [misc]points: Computing exacts on every 3 of 208 points to ramp up precision 1539348201.818 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.821 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.823 * * * * [misc]points: Computing exacts for 208 points 1539348201.832 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.841 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.857 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348201.857 * * * * [misc]points: Sampling 165 additional inputs, on iter 2 have 91 / 256 1539348201.859 * * * * [misc]points: Computing exacts on every 10 of 165 points to ramp up precision 1539348201.882 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.883 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.883 * * * * [misc]points: Computing exacts on every 5 of 165 points to ramp up precision 1539348201.892 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.894 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.895 * * * * [misc]points: Computing exacts on every 2 of 165 points to ramp up precision 1539348201.903 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.906 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.908 * * * * [misc]points: Computing exacts for 165 points 1539348201.921 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.927 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.934 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348201.934 * * * * [misc]points: Sampling 136 additional inputs, on iter 3 have 120 / 256 1539348201.934 * * * * [misc]points: Computing exacts on every 8 of 136 points to ramp up precision 1539348201.952 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.954 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.955 * * * * [misc]points: Computing exacts on every 4 of 136 points to ramp up precision 1539348201.983 * * * * [misc]points: Setting MPFR precision to 1088 1539348201.985 * * * * [misc]points: Setting MPFR precision to 1344 1539348201.987 * * * * [misc]points: Computing exacts on every 2 of 136 points to ramp up precision 1539348202.005 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.007 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.009 * * * * [misc]points: Computing exacts for 136 points 1539348202.018 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.024 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.030 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.030 * * * * [misc]points: Sampling 111 additional inputs, on iter 4 have 145 / 256 1539348202.031 * * * * [misc]points: Computing exacts on every 6 of 111 points to ramp up precision 1539348202.048 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.049 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.051 * * * * [misc]points: Computing exacts on every 3 of 111 points to ramp up precision 1539348202.067 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.069 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.071 * * * * [misc]points: Computing exacts for 111 points 1539348202.091 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.099 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.108 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.108 * * * * [misc]points: Sampling 92 additional inputs, on iter 5 have 164 / 256 1539348202.109 * * * * [misc]points: Computing exacts on every 5 of 92 points to ramp up precision 1539348202.125 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.126 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.127 * * * * [misc]points: Computing exacts on every 2 of 92 points to ramp up precision 1539348202.140 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.141 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.143 * * * * [misc]points: Computing exacts for 92 points 1539348202.157 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.162 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.166 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.166 * * * * [misc]points: Sampling 75 additional inputs, on iter 6 have 181 / 256 1539348202.167 * * * * [misc]points: Computing exacts on every 4 of 75 points to ramp up precision 1539348202.175 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.176 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.177 * * * * [misc]points: Computing exacts on every 2 of 75 points to ramp up precision 1539348202.186 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.187 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.188 * * * * [misc]points: Computing exacts for 75 points 1539348202.202 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.206 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.209 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.210 * * * * [misc]points: Sampling 60 additional inputs, on iter 7 have 196 / 256 1539348202.210 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision 1539348202.228 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.229 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.231 * * * * [misc]points: Computing exacts for 60 points 1539348202.255 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.261 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.267 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.267 * * * * [misc]points: Sampling 42 additional inputs, on iter 8 have 214 / 256 1539348202.268 * * * * [misc]points: Computing exacts on every 2 of 42 points to ramp up precision 1539348202.286 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.287 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.288 * * * * [misc]points: Computing exacts for 42 points 1539348202.307 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.311 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.314 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.314 * * * * [misc]points: Sampling 35 additional inputs, on iter 9 have 221 / 256 1539348202.315 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision 1539348202.332 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.333 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.333 * * * * [misc]points: Computing exacts for 35 points 1539348202.342 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.344 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.346 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.346 * * * * [misc]points: Sampling 28 additional inputs, on iter 10 have 228 / 256 1539348202.346 * * * * [misc]points: Computing exacts for 28 points 1539348202.354 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.356 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.357 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.357 * * * * [misc]points: Sampling 21 additional inputs, on iter 11 have 235 / 256 1539348202.357 * * * * [misc]points: Computing exacts for 21 points 1539348202.369 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.371 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.372 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.372 * * * * [misc]points: Sampling 13 additional inputs, on iter 12 have 243 / 256 1539348202.372 * * * * [misc]points: Computing exacts for 13 points 1539348202.381 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.382 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.383 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.383 * * * * [misc]points: Sampling 8 additional inputs, on iter 13 have 248 / 256 1539348202.383 * * * * [misc]points: Computing exacts for 8 points 1539348202.394 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.394 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.395 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.395 * * * * [misc]points: Sampling 8 additional inputs, on iter 14 have 248 / 256 1539348202.395 * * * * [misc]points: Computing exacts for 8 points 1539348202.412 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.413 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.414 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.414 * * * * [misc]points: Sampling 5 additional inputs, on iter 15 have 251 / 256 1539348202.414 * * * * [misc]points: Computing exacts for 5 points 1539348202.432 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.433 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.433 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.433 * * * * [misc]points: Sampling 5 additional inputs, on iter 16 have 251 / 256 1539348202.433 * * * * [misc]points: Computing exacts for 5 points 1539348202.454 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.455 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.455 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.455 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 253 / 256 1539348202.455 * * * * [misc]points: Computing exacts for 4 points 1539348202.466 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.466 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.467 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.467 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 1539348202.467 * * * * [misc]points: Computing exacts for 4 points 1539348202.475 * * * * [misc]points: Setting MPFR precision to 1088 1539348202.476 * * * * [misc]points: Setting MPFR precision to 1344 1539348202.476 * * * * [misc]points: Filtering points with unrepresentable outputs 1539348202.476 * * * * [exit]points: Sampled 256 points with exact outputs 1539348202.476 * * * [misc]progress: [2/2] Setting up program. 1539348202.479 * [misc]progress: [Phase 2 of 3] Improving. 1539348202.479 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1539348202.479 * * [misc]simplify: iters left: 6 (13 enodes) 1539348202.481 * * [misc]simplify: iters left: 5 (28 enodes) 1539348202.485 * * [misc]simplify: iters left: 4 (44 enodes) 1539348202.492 * * [misc]simplify: iters left: 3 (54 enodes) 1539348202.502 * * [misc]simplify: iters left: 2 (57 enodes) 1539348202.508 * * [misc]simplify: iters left: 1 (65 enodes) 1539348202.516 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1539348202.522 * * [misc]progress: iteration 1 / 4 1539348202.522 * * * [misc]progress: picking best candidate 1539348202.527 * * * * [misc]pick: Picked # 1539348202.527 * * * [misc]progress: localizing error 1539348202.581 * * * [misc]progress: generating rewritten candidates 1539348202.581 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) 1539348202.586 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) 1539348202.595 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1539348202.612 * * * [misc]progress: generating series expansions 1539348202.612 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) 1539348202.612 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1539348202.612 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1539348202.612 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348202.612 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.612 * [misc]backup-simplify: Simplify 2 into 2 1539348202.612 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348202.612 * [misc]taylor: Taking taylor expansion of n in n 1539348202.612 * [misc]backup-simplify: Simplify 0 into 0 1539348202.612 * [misc]backup-simplify: Simplify 1 into 1 1539348202.613 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.613 * [misc]backup-simplify: Simplify PI into PI 1539348202.613 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348202.613 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.613 * [misc]backup-simplify: Simplify 2 into 2 1539348202.613 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348202.613 * [misc]taylor: Taking taylor expansion of n in n 1539348202.613 * [misc]backup-simplify: Simplify 0 into 0 1539348202.613 * [misc]backup-simplify: Simplify 1 into 1 1539348202.613 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.613 * [misc]backup-simplify: Simplify PI into PI 1539348202.613 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348202.614 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348202.614 * [misc]backup-simplify: Simplify 0 into 0 1539348202.614 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348202.615 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348202.615 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.616 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348202.617 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348202.617 * [misc]backup-simplify: Simplify 0 into 0 1539348202.619 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348202.626 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348202.626 * [misc]backup-simplify: Simplify 0 into 0 1539348202.628 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348202.630 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539348202.630 * [misc]backup-simplify: Simplify 0 into 0 1539348202.633 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348202.636 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1539348202.636 * [misc]backup-simplify: Simplify 0 into 0 1539348202.639 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348202.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1539348202.643 * [misc]backup-simplify: Simplify 0 into 0 1539348202.647 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1539348202.650 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1539348202.650 * [misc]backup-simplify: Simplify 0 into 0 1539348202.651 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1539348202.651 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1539348202.651 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1539348202.651 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348202.651 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.651 * [misc]backup-simplify: Simplify 2 into 2 1539348202.651 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.651 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.651 * [misc]backup-simplify: Simplify PI into PI 1539348202.651 * [misc]taylor: Taking taylor expansion of n in n 1539348202.651 * [misc]backup-simplify: Simplify 0 into 0 1539348202.651 * [misc]backup-simplify: Simplify 1 into 1 1539348202.651 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.651 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348202.651 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.652 * [misc]backup-simplify: Simplify 2 into 2 1539348202.652 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.652 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.652 * [misc]backup-simplify: Simplify PI into PI 1539348202.652 * [misc]taylor: Taking taylor expansion of n in n 1539348202.652 * [misc]backup-simplify: Simplify 0 into 0 1539348202.652 * [misc]backup-simplify: Simplify 1 into 1 1539348202.652 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.652 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.652 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.653 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348202.654 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348202.655 * [misc]backup-simplify: Simplify 0 into 0 1539348202.656 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.657 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348202.657 * [misc]backup-simplify: Simplify 0 into 0 1539348202.658 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.660 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348202.660 * [misc]backup-simplify: Simplify 0 into 0 1539348202.662 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.664 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348202.664 * [misc]backup-simplify: Simplify 0 into 0 1539348202.666 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.669 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348202.669 * [misc]backup-simplify: Simplify 0 into 0 1539348202.671 * [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 1539348202.674 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348202.674 * [misc]backup-simplify: Simplify 0 into 0 1539348202.675 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1539348202.675 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1539348202.675 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1539348202.675 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348202.675 * [misc]taylor: Taking taylor expansion of -2 in n 1539348202.675 * [misc]backup-simplify: Simplify -2 into -2 1539348202.675 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.675 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.675 * [misc]backup-simplify: Simplify PI into PI 1539348202.675 * [misc]taylor: Taking taylor expansion of n in n 1539348202.675 * [misc]backup-simplify: Simplify 0 into 0 1539348202.675 * [misc]backup-simplify: Simplify 1 into 1 1539348202.675 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.675 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348202.675 * [misc]taylor: Taking taylor expansion of -2 in n 1539348202.675 * [misc]backup-simplify: Simplify -2 into -2 1539348202.675 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.676 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.676 * [misc]backup-simplify: Simplify PI into PI 1539348202.676 * [misc]taylor: Taking taylor expansion of n in n 1539348202.676 * [misc]backup-simplify: Simplify 0 into 0 1539348202.676 * [misc]backup-simplify: Simplify 1 into 1 1539348202.676 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.676 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348202.676 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348202.678 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348202.678 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348202.678 * [misc]backup-simplify: Simplify 0 into 0 1539348202.680 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.681 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348202.681 * [misc]backup-simplify: Simplify 0 into 0 1539348202.682 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.684 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348202.684 * [misc]backup-simplify: Simplify 0 into 0 1539348202.686 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.688 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348202.688 * [misc]backup-simplify: Simplify 0 into 0 1539348202.690 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.693 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348202.693 * [misc]backup-simplify: Simplify 0 into 0 1539348202.695 * [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 1539348202.698 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348202.698 * [misc]backup-simplify: Simplify 0 into 0 1539348202.699 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1539348202.699 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) 1539348202.699 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1539348202.699 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1539348202.699 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1539348202.699 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1539348202.699 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1539348202.699 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539348202.699 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.699 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348202.699 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.699 * [misc]taylor: Taking taylor expansion of k in k 1539348202.699 * [misc]backup-simplify: Simplify 0 into 0 1539348202.699 * [misc]backup-simplify: Simplify 1 into 1 1539348202.699 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539348202.699 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539348202.699 * [misc]taylor: Taking taylor expansion of 2 in k 1539348202.699 * [misc]backup-simplify: Simplify 2 into 2 1539348202.700 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348202.700 * [misc]taylor: Taking taylor expansion of n in k 1539348202.700 * [misc]backup-simplify: Simplify n into n 1539348202.700 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.700 * [misc]backup-simplify: Simplify PI into PI 1539348202.700 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348202.700 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539348202.700 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539348202.700 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348202.700 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.700 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539348202.700 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1539348202.701 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1539348202.701 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539348202.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539348202.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539348202.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539348202.701 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.701 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348202.701 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.701 * [misc]taylor: Taking taylor expansion of k in n 1539348202.701 * [misc]backup-simplify: Simplify k into k 1539348202.701 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348202.701 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348202.701 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.701 * [misc]backup-simplify: Simplify 2 into 2 1539348202.701 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348202.701 * [misc]taylor: Taking taylor expansion of n in n 1539348202.701 * [misc]backup-simplify: Simplify 0 into 0 1539348202.701 * [misc]backup-simplify: Simplify 1 into 1 1539348202.701 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.701 * [misc]backup-simplify: Simplify PI into PI 1539348202.702 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348202.702 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348202.702 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348202.703 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348202.704 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.704 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348202.704 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539348202.704 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539348202.704 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.705 * [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)))) 1539348202.706 * [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))))) 1539348202.706 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539348202.706 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539348202.706 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539348202.706 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539348202.706 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.706 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348202.706 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.706 * [misc]taylor: Taking taylor expansion of k in n 1539348202.706 * [misc]backup-simplify: Simplify k into k 1539348202.706 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348202.706 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348202.706 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.706 * [misc]backup-simplify: Simplify 2 into 2 1539348202.706 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348202.706 * [misc]taylor: Taking taylor expansion of n in n 1539348202.706 * [misc]backup-simplify: Simplify 0 into 0 1539348202.706 * [misc]backup-simplify: Simplify 1 into 1 1539348202.706 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.706 * [misc]backup-simplify: Simplify PI into PI 1539348202.707 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348202.707 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348202.707 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348202.708 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348202.708 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.709 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348202.709 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539348202.709 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539348202.709 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.710 * [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)))) 1539348202.711 * [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))))) 1539348202.711 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1539348202.711 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1539348202.711 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539348202.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.711 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348202.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.711 * [misc]taylor: Taking taylor expansion of k in k 1539348202.711 * [misc]backup-simplify: Simplify 0 into 0 1539348202.711 * [misc]backup-simplify: Simplify 1 into 1 1539348202.711 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1539348202.711 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348202.711 * [misc]taylor: Taking taylor expansion of n in k 1539348202.711 * [misc]backup-simplify: Simplify n into n 1539348202.711 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348202.711 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348202.711 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348202.711 * [misc]taylor: Taking taylor expansion of 2 in k 1539348202.711 * [misc]backup-simplify: Simplify 2 into 2 1539348202.711 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.711 * [misc]backup-simplify: Simplify PI into PI 1539348202.712 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.712 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.712 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348202.712 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.713 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539348202.713 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.714 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1539348202.715 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1539348202.715 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1539348202.716 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348202.717 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348202.720 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348202.720 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1539348202.720 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.721 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.721 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.722 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1539348202.723 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348202.723 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.723 * [misc]backup-simplify: Simplify 0 into 0 1539348202.723 * [misc]backup-simplify: Simplify 0 into 0 1539348202.724 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539348202.725 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348202.728 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348202.728 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.728 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539348202.728 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539348202.728 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539348202.729 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1539348202.730 * [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))))))) 1539348202.732 * [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))))))) 1539348202.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348202.735 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348202.740 * [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 1539348202.740 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1539348202.740 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.741 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.742 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539348202.744 * [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 1539348202.744 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.744 * [misc]backup-simplify: Simplify 0 into 0 1539348202.744 * [misc]backup-simplify: Simplify 0 into 0 1539348202.744 * [misc]backup-simplify: Simplify 0 into 0 1539348202.746 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1539348202.747 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348202.752 * [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 1539348202.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.752 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539348202.752 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.753 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.753 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539348202.756 * [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))))) 1539348202.759 * [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))))) 1539348202.764 * [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))))) 1539348202.765 * [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)))) 1539348202.765 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1539348202.765 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539348202.765 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1539348202.765 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1539348202.765 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539348202.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539348202.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348202.765 * [misc]taylor: Taking taylor expansion of k in k 1539348202.765 * [misc]backup-simplify: Simplify 0 into 0 1539348202.765 * [misc]backup-simplify: Simplify 1 into 1 1539348202.765 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348202.765 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539348202.765 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539348202.765 * [misc]taylor: Taking taylor expansion of 2 in k 1539348202.765 * [misc]backup-simplify: Simplify 2 into 2 1539348202.765 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348202.766 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.766 * [misc]backup-simplify: Simplify PI into PI 1539348202.766 * [misc]taylor: Taking taylor expansion of n in k 1539348202.766 * [misc]backup-simplify: Simplify n into n 1539348202.766 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348202.766 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539348202.766 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539348202.766 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539348202.766 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539348202.766 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539348202.766 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1539348202.767 * [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)))) 1539348202.767 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539348202.767 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539348202.767 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539348202.767 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539348202.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539348202.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348202.767 * [misc]taylor: Taking taylor expansion of k in n 1539348202.767 * [misc]backup-simplify: Simplify k into k 1539348202.767 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348202.767 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348202.767 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348202.767 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.767 * [misc]backup-simplify: Simplify 2 into 2 1539348202.767 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.767 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.767 * [misc]backup-simplify: Simplify PI into PI 1539348202.767 * [misc]taylor: Taking taylor expansion of n in n 1539348202.767 * [misc]backup-simplify: Simplify 0 into 0 1539348202.767 * [misc]backup-simplify: Simplify 1 into 1 1539348202.768 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.768 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.769 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.769 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539348202.769 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539348202.769 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539348202.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.770 * [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))) 1539348202.771 * [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)))) 1539348202.771 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539348202.771 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539348202.771 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539348202.771 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539348202.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.771 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539348202.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.771 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348202.771 * [misc]taylor: Taking taylor expansion of k in n 1539348202.771 * [misc]backup-simplify: Simplify k into k 1539348202.771 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348202.771 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348202.771 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348202.771 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.771 * [misc]backup-simplify: Simplify 2 into 2 1539348202.771 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.771 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.771 * [misc]backup-simplify: Simplify PI into PI 1539348202.771 * [misc]taylor: Taking taylor expansion of n in n 1539348202.771 * [misc]backup-simplify: Simplify 0 into 0 1539348202.771 * [misc]backup-simplify: Simplify 1 into 1 1539348202.772 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.772 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.772 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.773 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539348202.773 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539348202.773 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539348202.773 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.774 * [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))) 1539348202.775 * [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)))) 1539348202.775 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1539348202.775 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1539348202.775 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539348202.775 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.775 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539348202.775 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348202.775 * [misc]taylor: Taking taylor expansion of k in k 1539348202.775 * [misc]backup-simplify: Simplify 0 into 0 1539348202.775 * [misc]backup-simplify: Simplify 1 into 1 1539348202.775 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348202.775 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348202.776 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348202.776 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348202.776 * [misc]taylor: Taking taylor expansion of 2 in k 1539348202.776 * [misc]backup-simplify: Simplify 2 into 2 1539348202.776 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.776 * [misc]backup-simplify: Simplify PI into PI 1539348202.776 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.776 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.776 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348202.776 * [misc]taylor: Taking taylor expansion of n in k 1539348202.776 * [misc]backup-simplify: Simplify n into n 1539348202.777 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348202.777 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539348202.777 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539348202.777 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539348202.777 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348202.778 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348202.778 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1539348202.779 * [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)))) 1539348202.779 * [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)))) 1539348202.781 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348202.781 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348202.786 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348202.786 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539348202.786 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539348202.786 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.787 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.788 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1539348202.790 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348202.790 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.790 * [misc]backup-simplify: Simplify 0 into 0 1539348202.790 * [misc]backup-simplify: Simplify 0 into 0 1539348202.790 * [misc]backup-simplify: Simplify 0 into 0 1539348202.791 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.792 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348202.797 * [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 1539348202.797 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348202.798 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539348202.798 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.798 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.799 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.799 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1539348202.802 * [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 1539348202.802 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.802 * [misc]backup-simplify: Simplify 0 into 0 1539348202.802 * [misc]backup-simplify: Simplify 0 into 0 1539348202.802 * [misc]backup-simplify: Simplify 0 into 0 1539348202.802 * [misc]backup-simplify: Simplify 0 into 0 1539348202.804 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.805 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348202.811 * [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 1539348202.811 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348202.811 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539348202.811 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.811 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.812 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.812 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1539348202.815 * [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 1539348202.815 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.815 * [misc]backup-simplify: Simplify 0 into 0 1539348202.815 * [misc]backup-simplify: Simplify 0 into 0 1539348202.815 * [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))))) 1539348202.816 * [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)) 1539348202.816 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1539348202.816 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539348202.816 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1539348202.816 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1539348202.816 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539348202.816 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539348202.816 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.816 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348202.816 * [misc]taylor: Taking taylor expansion of k in k 1539348202.816 * [misc]backup-simplify: Simplify 0 into 0 1539348202.816 * [misc]backup-simplify: Simplify 1 into 1 1539348202.816 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348202.816 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.816 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539348202.816 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348202.816 * [misc]taylor: Taking taylor expansion of -2 in k 1539348202.816 * [misc]backup-simplify: Simplify -2 into -2 1539348202.816 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348202.816 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.816 * [misc]backup-simplify: Simplify PI into PI 1539348202.816 * [misc]taylor: Taking taylor expansion of n in k 1539348202.816 * [misc]backup-simplify: Simplify n into n 1539348202.816 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348202.816 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348202.816 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539348202.816 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539348202.816 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539348202.817 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1539348202.817 * [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))) 1539348202.817 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539348202.817 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539348202.817 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539348202.817 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539348202.817 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539348202.817 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.817 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348202.817 * [misc]taylor: Taking taylor expansion of k in n 1539348202.817 * [misc]backup-simplify: Simplify k into k 1539348202.817 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348202.817 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.817 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348202.817 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348202.817 * [misc]taylor: Taking taylor expansion of -2 in n 1539348202.817 * [misc]backup-simplify: Simplify -2 into -2 1539348202.817 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.817 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.817 * [misc]backup-simplify: Simplify PI into PI 1539348202.817 * [misc]taylor: Taking taylor expansion of n in n 1539348202.817 * [misc]backup-simplify: Simplify 0 into 0 1539348202.817 * [misc]backup-simplify: Simplify 1 into 1 1539348202.817 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.817 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348202.818 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348202.818 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539348202.818 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539348202.818 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348202.819 * [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))) 1539348202.819 * [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)))) 1539348202.819 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539348202.819 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539348202.819 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539348202.819 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539348202.819 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539348202.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348202.819 * [misc]taylor: Taking taylor expansion of k in n 1539348202.819 * [misc]backup-simplify: Simplify k into k 1539348202.819 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348202.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.819 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348202.819 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348202.819 * [misc]taylor: Taking taylor expansion of -2 in n 1539348202.819 * [misc]backup-simplify: Simplify -2 into -2 1539348202.819 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.819 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.819 * [misc]backup-simplify: Simplify PI into PI 1539348202.819 * [misc]taylor: Taking taylor expansion of n in n 1539348202.819 * [misc]backup-simplify: Simplify 0 into 0 1539348202.819 * [misc]backup-simplify: Simplify 1 into 1 1539348202.820 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.820 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348202.820 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348202.820 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539348202.820 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539348202.821 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348202.821 * [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))) 1539348202.821 * [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)))) 1539348202.821 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1539348202.821 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1539348202.821 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539348202.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539348202.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.822 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348202.822 * [misc]taylor: Taking taylor expansion of k in k 1539348202.822 * [misc]backup-simplify: Simplify 0 into 0 1539348202.822 * [misc]backup-simplify: Simplify 1 into 1 1539348202.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348202.822 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.822 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539348202.822 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539348202.822 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539348202.822 * [misc]taylor: Taking taylor expansion of -2 in k 1539348202.822 * [misc]backup-simplify: Simplify -2 into -2 1539348202.822 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.822 * [misc]backup-simplify: Simplify PI into PI 1539348202.822 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348202.822 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348202.822 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348202.822 * [misc]taylor: Taking taylor expansion of n in k 1539348202.822 * [misc]backup-simplify: Simplify n into n 1539348202.822 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348202.823 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539348202.823 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539348202.823 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348202.823 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539348202.823 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1539348202.824 * [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)))) 1539348202.824 * [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)))) 1539348202.825 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348202.825 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348202.827 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539348202.827 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539348202.827 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539348202.827 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.828 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348202.828 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1539348202.829 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348202.829 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.829 * [misc]backup-simplify: Simplify 0 into 0 1539348202.829 * [misc]backup-simplify: Simplify 0 into 0 1539348202.829 * [misc]backup-simplify: Simplify 0 into 0 1539348202.830 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.830 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348202.833 * [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 1539348202.834 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348202.834 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539348202.834 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.834 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348202.835 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1539348202.836 * [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 1539348202.836 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.836 * [misc]backup-simplify: Simplify 0 into 0 1539348202.836 * [misc]backup-simplify: Simplify 0 into 0 1539348202.836 * [misc]backup-simplify: Simplify 0 into 0 1539348202.836 * [misc]backup-simplify: Simplify 0 into 0 1539348202.837 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.838 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348202.845 * [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 1539348202.845 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348202.846 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539348202.846 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.847 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348202.848 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1539348202.851 * [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 1539348202.851 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.851 * [misc]backup-simplify: Simplify 0 into 0 1539348202.851 * [misc]backup-simplify: Simplify 0 into 0 1539348202.852 * [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))))) 1539348202.852 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1539348202.852 * [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)))) 1539348202.852 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1539348202.852 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1539348202.852 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539348202.852 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348202.852 * [misc]taylor: Taking taylor expansion of k in k 1539348202.852 * [misc]backup-simplify: Simplify 0 into 0 1539348202.852 * [misc]backup-simplify: Simplify 1 into 1 1539348202.852 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348202.852 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348202.853 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539348202.853 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1539348202.853 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1539348202.853 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1539348202.853 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539348202.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.853 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348202.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.853 * [misc]taylor: Taking taylor expansion of k in k 1539348202.853 * [misc]backup-simplify: Simplify 0 into 0 1539348202.853 * [misc]backup-simplify: Simplify 1 into 1 1539348202.853 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539348202.853 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539348202.853 * [misc]taylor: Taking taylor expansion of 2 in k 1539348202.853 * [misc]backup-simplify: Simplify 2 into 2 1539348202.853 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348202.853 * [misc]taylor: Taking taylor expansion of n in k 1539348202.853 * [misc]backup-simplify: Simplify n into n 1539348202.853 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.853 * [misc]backup-simplify: Simplify PI into PI 1539348202.853 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348202.853 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539348202.853 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539348202.853 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348202.853 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.854 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539348202.854 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1539348202.854 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1539348202.854 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of k in n 1539348202.854 * [misc]backup-simplify: Simplify k into k 1539348202.854 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348202.854 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539348202.854 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539348202.854 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539348202.854 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.854 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.854 * [misc]taylor: Taking taylor expansion of k in n 1539348202.854 * [misc]backup-simplify: Simplify k into k 1539348202.854 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.854 * [misc]backup-simplify: Simplify 2 into 2 1539348202.854 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348202.854 * [misc]taylor: Taking taylor expansion of n in n 1539348202.854 * [misc]backup-simplify: Simplify 0 into 0 1539348202.854 * [misc]backup-simplify: Simplify 1 into 1 1539348202.854 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.854 * [misc]backup-simplify: Simplify PI into PI 1539348202.855 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348202.855 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348202.855 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348202.855 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348202.856 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.856 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348202.856 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539348202.856 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539348202.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.857 * [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)))) 1539348202.857 * [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))))) 1539348202.857 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1539348202.857 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539348202.857 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348202.857 * [misc]taylor: Taking taylor expansion of k in n 1539348202.857 * [misc]backup-simplify: Simplify k into k 1539348202.857 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348202.857 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539348202.857 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539348202.857 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539348202.857 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539348202.857 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539348202.857 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539348202.857 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539348202.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.857 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348202.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.858 * [misc]taylor: Taking taylor expansion of k in n 1539348202.858 * [misc]backup-simplify: Simplify k into k 1539348202.858 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348202.858 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348202.858 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.858 * [misc]backup-simplify: Simplify 2 into 2 1539348202.858 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348202.858 * [misc]taylor: Taking taylor expansion of n in n 1539348202.858 * [misc]backup-simplify: Simplify 0 into 0 1539348202.858 * [misc]backup-simplify: Simplify 1 into 1 1539348202.858 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.858 * [misc]backup-simplify: Simplify PI into PI 1539348202.858 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348202.858 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348202.858 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348202.859 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348202.859 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.859 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348202.859 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539348202.859 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539348202.860 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.860 * [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)))) 1539348202.860 * [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))))) 1539348202.861 * [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))) 1539348202.861 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1539348202.861 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1539348202.861 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1539348202.861 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539348202.861 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.861 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348202.861 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.861 * [misc]taylor: Taking taylor expansion of k in k 1539348202.861 * [misc]backup-simplify: Simplify 0 into 0 1539348202.861 * [misc]backup-simplify: Simplify 1 into 1 1539348202.861 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1539348202.861 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348202.861 * [misc]taylor: Taking taylor expansion of n in k 1539348202.861 * [misc]backup-simplify: Simplify n into n 1539348202.861 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348202.861 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348202.861 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348202.861 * [misc]taylor: Taking taylor expansion of 2 in k 1539348202.861 * [misc]backup-simplify: Simplify 2 into 2 1539348202.861 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.861 * [misc]backup-simplify: Simplify PI into PI 1539348202.861 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.862 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.862 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348202.862 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.862 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539348202.862 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.863 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1539348202.863 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1539348202.863 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539348202.863 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348202.863 * [misc]taylor: Taking taylor expansion of k in k 1539348202.863 * [misc]backup-simplify: Simplify 0 into 0 1539348202.863 * [misc]backup-simplify: Simplify 1 into 1 1539348202.863 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348202.863 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348202.864 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539348202.864 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1539348202.864 * [misc]backup-simplify: Simplify 0 into 0 1539348202.865 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348202.866 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348202.867 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348202.867 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1539348202.867 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.867 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.868 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.868 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1539348202.869 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348202.870 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1539348202.870 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.870 * [misc]backup-simplify: Simplify 0 into 0 1539348202.870 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539348202.871 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348202.872 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348202.872 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.872 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539348202.873 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539348202.873 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539348202.873 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1539348202.874 * [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))))))) 1539348202.875 * [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))))))) 1539348202.876 * [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))))))) 1539348202.878 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348202.879 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348202.884 * [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 1539348202.884 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1539348202.885 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.885 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.886 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539348202.888 * [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 1539348202.889 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348202.889 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1539348202.890 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1539348202.890 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.890 * [misc]backup-simplify: Simplify 0 into 0 1539348202.890 * [misc]backup-simplify: Simplify 0 into 0 1539348202.891 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539348202.892 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539348202.893 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1539348202.894 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348202.899 * [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 1539348202.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.899 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539348202.899 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.900 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539348202.902 * [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))))) 1539348202.907 * [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)))))))) 1539348202.909 * [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)))))))) 1539348202.911 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348202.914 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539348202.923 * [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 1539348202.923 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1539348202.923 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.923 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.924 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348202.925 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1539348202.928 * [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 1539348202.929 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348202.929 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1539348202.930 * [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 1539348202.930 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.930 * [misc]backup-simplify: Simplify 0 into 0 1539348202.930 * [misc]backup-simplify: Simplify 0 into 0 1539348202.930 * [misc]backup-simplify: Simplify 0 into 0 1539348202.931 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.932 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539348202.934 * [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 1539348202.936 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348202.940 * [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 1539348202.940 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.940 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539348202.940 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.941 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.941 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1539348202.943 * [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))))))) 1539348202.948 * [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)))))))))))))) 1539348202.952 * [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)))))))))))))) 1539348202.958 * [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)))))))))))))))))))))) 1539348202.959 * [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))))) 1539348202.959 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1539348202.959 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539348202.959 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539348202.959 * [misc]taylor: Taking taylor expansion of k in k 1539348202.959 * [misc]backup-simplify: Simplify 0 into 0 1539348202.959 * [misc]backup-simplify: Simplify 1 into 1 1539348202.959 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348202.959 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539348202.959 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539348202.959 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1539348202.959 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1539348202.959 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539348202.959 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.959 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539348202.959 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348202.960 * [misc]taylor: Taking taylor expansion of k in k 1539348202.960 * [misc]backup-simplify: Simplify 0 into 0 1539348202.960 * [misc]backup-simplify: Simplify 1 into 1 1539348202.960 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348202.960 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539348202.960 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539348202.960 * [misc]taylor: Taking taylor expansion of 2 in k 1539348202.960 * [misc]backup-simplify: Simplify 2 into 2 1539348202.960 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348202.960 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.960 * [misc]backup-simplify: Simplify PI into PI 1539348202.960 * [misc]taylor: Taking taylor expansion of n in k 1539348202.960 * [misc]backup-simplify: Simplify n into n 1539348202.960 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348202.960 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539348202.960 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539348202.960 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539348202.960 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539348202.960 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539348202.960 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1539348202.960 * [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)))) 1539348202.960 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539348202.960 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of k in n 1539348202.961 * [misc]backup-simplify: Simplify k into k 1539348202.961 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539348202.961 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539348202.961 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.961 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.961 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of k in n 1539348202.961 * [misc]backup-simplify: Simplify k into k 1539348202.961 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348202.961 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.961 * [misc]backup-simplify: Simplify 2 into 2 1539348202.961 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.961 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.961 * [misc]backup-simplify: Simplify PI into PI 1539348202.961 * [misc]taylor: Taking taylor expansion of n in n 1539348202.961 * [misc]backup-simplify: Simplify 0 into 0 1539348202.961 * [misc]backup-simplify: Simplify 1 into 1 1539348202.961 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.961 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.962 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.962 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539348202.962 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539348202.962 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539348202.962 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.963 * [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))) 1539348202.963 * [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)))) 1539348202.963 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of k in n 1539348202.963 * [misc]backup-simplify: Simplify k into k 1539348202.963 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539348202.963 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539348202.963 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.963 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348202.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of k in n 1539348202.963 * [misc]backup-simplify: Simplify k into k 1539348202.963 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348202.963 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of 2 in n 1539348202.963 * [misc]backup-simplify: Simplify 2 into 2 1539348202.963 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348202.963 * [misc]taylor: Taking taylor expansion of PI in n 1539348202.963 * [misc]backup-simplify: Simplify PI into PI 1539348202.963 * [misc]taylor: Taking taylor expansion of n in n 1539348202.964 * [misc]backup-simplify: Simplify 0 into 0 1539348202.964 * [misc]backup-simplify: Simplify 1 into 1 1539348202.964 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348202.964 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.964 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.964 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539348202.964 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539348202.964 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539348202.965 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.965 * [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))) 1539348202.965 * [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)))) 1539348202.966 * [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)) 1539348202.966 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1539348202.966 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1539348202.966 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1539348202.966 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539348202.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539348202.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348202.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348202.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348202.966 * [misc]taylor: Taking taylor expansion of k in k 1539348202.966 * [misc]backup-simplify: Simplify 0 into 0 1539348202.966 * [misc]backup-simplify: Simplify 1 into 1 1539348202.967 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348202.967 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348202.967 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348202.967 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348202.967 * [misc]taylor: Taking taylor expansion of 2 in k 1539348202.967 * [misc]backup-simplify: Simplify 2 into 2 1539348202.967 * [misc]taylor: Taking taylor expansion of PI in k 1539348202.967 * [misc]backup-simplify: Simplify PI into PI 1539348202.967 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348202.967 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348202.967 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348202.967 * [misc]taylor: Taking taylor expansion of n in k 1539348202.967 * [misc]backup-simplify: Simplify n into n 1539348202.967 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348202.967 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539348202.968 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539348202.968 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539348202.968 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348202.968 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348202.969 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1539348202.969 * [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)))) 1539348202.969 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539348202.970 * [misc]taylor: Taking taylor expansion of k in k 1539348202.970 * [misc]backup-simplify: Simplify 0 into 0 1539348202.970 * [misc]backup-simplify: Simplify 1 into 1 1539348202.970 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348202.970 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539348202.971 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1539348202.971 * [misc]backup-simplify: Simplify 0 into 0 1539348202.972 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348202.973 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348202.975 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348202.976 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539348202.976 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539348202.976 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.976 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.977 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1539348202.979 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348202.979 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1539348202.980 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.980 * [misc]backup-simplify: Simplify 0 into 0 1539348202.980 * [misc]backup-simplify: Simplify 0 into 0 1539348202.980 * [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)))))) 1539348202.980 * [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)))))) 1539348202.981 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.982 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348202.985 * [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 1539348202.985 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348202.985 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539348202.985 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.985 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.986 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.986 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1539348202.988 * [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 1539348202.988 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1539348202.989 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1539348202.989 * [misc]taylor: Taking taylor expansion of 0 in k 1539348202.989 * [misc]backup-simplify: Simplify 0 into 0 1539348202.989 * [misc]backup-simplify: Simplify 0 into 0 1539348202.989 * [misc]backup-simplify: Simplify 0 into 0 1539348202.989 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539348202.990 * [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)))))) 1539348202.990 * [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)))))) 1539348202.991 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348202.992 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348202.997 * [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 1539348202.997 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348202.997 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539348202.998 * [misc]backup-simplify: Simplify (- 0) into 0 1539348202.998 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348202.998 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348202.999 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1539348203.001 * [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 1539348203.001 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1539348203.002 * [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 1539348203.002 * [misc]taylor: Taking taylor expansion of 0 in k 1539348203.002 * [misc]backup-simplify: Simplify 0 into 0 1539348203.002 * [misc]backup-simplify: Simplify 0 into 0 1539348203.002 * [misc]backup-simplify: Simplify 0 into 0 1539348203.002 * [misc]backup-simplify: Simplify 0 into 0 1539348203.002 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539348203.003 * [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)))))) 1539348203.003 * [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)))))) 1539348203.006 * [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)))))))) 1539348203.006 * [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))) 1539348203.006 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1539348203.007 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348203.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348203.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of k in k 1539348203.007 * [misc]backup-simplify: Simplify 0 into 0 1539348203.007 * [misc]backup-simplify: Simplify 1 into 1 1539348203.007 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348203.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348203.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348203.007 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of -2 in k 1539348203.007 * [misc]backup-simplify: Simplify -2 into -2 1539348203.007 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348203.007 * [misc]taylor: Taking taylor expansion of PI in k 1539348203.007 * [misc]backup-simplify: Simplify PI into PI 1539348203.007 * [misc]taylor: Taking taylor expansion of n in k 1539348203.007 * [misc]backup-simplify: Simplify n into n 1539348203.007 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348203.007 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348203.008 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539348203.008 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539348203.008 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539348203.008 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1539348203.008 * [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))) 1539348203.008 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539348203.008 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539348203.008 * [misc]taylor: Taking taylor expansion of -1 in k 1539348203.008 * [misc]backup-simplify: Simplify -1 into -1 1539348203.008 * [misc]taylor: Taking taylor expansion of k in k 1539348203.008 * [misc]backup-simplify: Simplify 0 into 0 1539348203.008 * [misc]backup-simplify: Simplify 1 into 1 1539348203.009 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539348203.009 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348203.009 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539348203.009 * [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)))) 1539348203.010 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348203.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348203.010 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of k in n 1539348203.010 * [misc]backup-simplify: Simplify k into k 1539348203.010 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348203.010 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348203.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348203.010 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of -2 in n 1539348203.010 * [misc]backup-simplify: Simplify -2 into -2 1539348203.010 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348203.010 * [misc]taylor: Taking taylor expansion of PI in n 1539348203.010 * [misc]backup-simplify: Simplify PI into PI 1539348203.010 * [misc]taylor: Taking taylor expansion of n in n 1539348203.010 * [misc]backup-simplify: Simplify 0 into 0 1539348203.010 * [misc]backup-simplify: Simplify 1 into 1 1539348203.010 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348203.011 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348203.011 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348203.011 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539348203.011 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539348203.012 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348203.013 * [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))) 1539348203.013 * [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)))) 1539348203.013 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539348203.013 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539348203.013 * [misc]taylor: Taking taylor expansion of -1 in n 1539348203.013 * [misc]backup-simplify: Simplify -1 into -1 1539348203.013 * [misc]taylor: Taking taylor expansion of k in n 1539348203.013 * [misc]backup-simplify: Simplify k into k 1539348203.013 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539348203.013 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539348203.014 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539348203.014 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539348203.014 * [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))) 1539348203.014 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1539348203.014 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539348203.014 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539348203.014 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539348203.015 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539348203.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539348203.015 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348203.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348203.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539348203.015 * [misc]taylor: Taking taylor expansion of k in n 1539348203.015 * [misc]backup-simplify: Simplify k into k 1539348203.015 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539348203.015 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348203.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348203.015 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348203.015 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348203.015 * [misc]taylor: Taking taylor expansion of -2 in n 1539348203.015 * [misc]backup-simplify: Simplify -2 into -2 1539348203.015 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348203.015 * [misc]taylor: Taking taylor expansion of PI in n 1539348203.015 * [misc]backup-simplify: Simplify PI into PI 1539348203.015 * [misc]taylor: Taking taylor expansion of n in n 1539348203.015 * [misc]backup-simplify: Simplify 0 into 0 1539348203.015 * [misc]backup-simplify: Simplify 1 into 1 1539348203.015 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348203.016 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348203.016 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348203.016 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539348203.016 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539348203.017 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348203.018 * [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))) 1539348203.018 * [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)))) 1539348203.019 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539348203.019 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539348203.019 * [misc]taylor: Taking taylor expansion of -1 in n 1539348203.019 * [misc]backup-simplify: Simplify -1 into -1 1539348203.019 * [misc]taylor: Taking taylor expansion of k in n 1539348203.019 * [misc]backup-simplify: Simplify k into k 1539348203.019 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539348203.019 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539348203.019 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539348203.019 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539348203.020 * [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))) 1539348203.020 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1539348203.020 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1539348203.020 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1539348203.020 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539348203.020 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539348203.020 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348203.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348203.020 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539348203.020 * [misc]taylor: Taking taylor expansion of k in k 1539348203.020 * [misc]backup-simplify: Simplify 0 into 0 1539348203.020 * [misc]backup-simplify: Simplify 1 into 1 1539348203.020 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539348203.020 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348203.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348203.020 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539348203.020 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539348203.020 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539348203.020 * [misc]taylor: Taking taylor expansion of -2 in k 1539348203.020 * [misc]backup-simplify: Simplify -2 into -2 1539348203.020 * [misc]taylor: Taking taylor expansion of PI in k 1539348203.020 * [misc]backup-simplify: Simplify PI into PI 1539348203.021 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348203.021 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348203.021 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348203.021 * [misc]taylor: Taking taylor expansion of n in k 1539348203.021 * [misc]backup-simplify: Simplify n into n 1539348203.021 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348203.021 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539348203.022 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539348203.022 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348203.022 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539348203.023 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1539348203.023 * [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)))) 1539348203.023 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539348203.023 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539348203.023 * [misc]taylor: Taking taylor expansion of -1 in k 1539348203.023 * [misc]backup-simplify: Simplify -1 into -1 1539348203.023 * [misc]taylor: Taking taylor expansion of k in k 1539348203.023 * [misc]backup-simplify: Simplify 0 into 0 1539348203.023 * [misc]backup-simplify: Simplify 1 into 1 1539348203.024 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539348203.024 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348203.024 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539348203.025 * [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))))) 1539348203.025 * [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))))) 1539348203.027 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348203.027 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348203.030 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539348203.030 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539348203.030 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539348203.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348203.031 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348203.032 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1539348203.033 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348203.035 * [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 1539348203.035 * [misc]taylor: Taking taylor expansion of 0 in k 1539348203.035 * [misc]backup-simplify: Simplify 0 into 0 1539348203.035 * [misc]backup-simplify: Simplify 0 into 0 1539348203.036 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539348203.037 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539348203.038 * [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)))))) 1539348203.038 * [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)))))) 1539348203.040 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348203.041 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348203.046 * [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 1539348203.046 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348203.046 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539348203.047 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348203.047 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348203.048 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1539348203.050 * [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 1539348203.051 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348203.051 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1539348203.052 * [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 1539348203.052 * [misc]taylor: Taking taylor expansion of 0 in k 1539348203.052 * [misc]backup-simplify: Simplify 0 into 0 1539348203.052 * [misc]backup-simplify: Simplify 0 into 0 1539348203.052 * [misc]backup-simplify: Simplify 0 into 0 1539348203.053 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348203.054 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539348203.056 * [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)))))) 1539348203.056 * [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)))))) 1539348203.059 * [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))))))))))) 1539348203.059 * * * [misc]progress: simplifying candidates 1539348203.059 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1539348203.059 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1539348203.059 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1539348203.059 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1539348203.060 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1539348203.060 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1539348203.060 * * [misc]simplify: iters left: 6 (11 enodes) 1539348203.064 * * [misc]simplify: iters left: 5 (21 enodes) 1539348203.071 * * [misc]simplify: iters left: 4 (47 enodes) 1539348203.089 * * [misc]simplify: iters left: 3 (113 enodes) 1539348203.133 * * [misc]simplify: iters left: 2 (328 enodes) 1539348203.368 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1539348203.368 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1539348203.368 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1539348203.368 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1539348203.368 * [enter]simplify: Simplifying (* PI (* n 2)) 1539348203.368 * * [misc]simplify: iters left: 4 (5 enodes) 1539348203.369 * * [misc]simplify: iters left: 3 (9 enodes) 1539348203.370 * * [misc]simplify: iters left: 2 (15 enodes) 1539348203.372 * * [misc]simplify: iters left: 1 (17 enodes) 1539348203.374 * [exit]simplify: Simplified to (* (* 2 n) PI) 1539348203.374 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1539348203.374 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1539348203.374 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1539348203.374 * * [misc]simplify: iters left: 5 (8 enodes) 1539348203.375 * * [misc]simplify: iters left: 4 (12 enodes) 1539348203.377 * * [misc]simplify: iters left: 3 (18 enodes) 1539348203.382 * * [misc]simplify: iters left: 2 (20 enodes) 1539348203.384 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1539348203.384 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1539348203.384 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1539348203.384 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1539348203.384 * * [misc]simplify: iters left: 5 (6 enodes) 1539348203.385 * * [misc]simplify: iters left: 4 (8 enodes) 1539348203.386 * * [misc]simplify: iters left: 3 (11 enodes) 1539348203.388 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1539348203.388 * [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))) 1539348203.388 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1539348203.388 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1539348203.388 * * [misc]simplify: iters left: 5 (6 enodes) 1539348203.389 * * [misc]simplify: iters left: 4 (8 enodes) 1539348203.390 * * [misc]simplify: iters left: 3 (11 enodes) 1539348203.392 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1539348203.392 * [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))) 1539348203.392 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1539348203.392 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1539348203.392 * * [misc]simplify: iters left: 4 (5 enodes) 1539348203.393 * * [misc]simplify: iters left: 3 (7 enodes) 1539348203.393 * * [misc]simplify: iters left: 2 (10 enodes) 1539348203.395 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1539348203.395 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1539348203.395 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1539348203.395 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1539348203.395 * * [misc]simplify: iters left: 5 (9 enodes) 1539348203.396 * * [misc]simplify: iters left: 4 (15 enodes) 1539348203.398 * * [misc]simplify: iters left: 3 (21 enodes) 1539348203.401 * * [misc]simplify: iters left: 2 (22 enodes) 1539348203.403 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1539348203.403 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1539348203.404 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1539348203.404 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1539348203.404 * * [misc]simplify: iters left: 5 (9 enodes) 1539348203.405 * * [misc]simplify: iters left: 4 (15 enodes) 1539348203.407 * * [misc]simplify: iters left: 3 (21 enodes) 1539348203.410 * * [misc]simplify: iters left: 2 (22 enodes) 1539348203.412 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1539348203.412 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1539348203.412 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1539348203.412 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1539348203.412 * * [misc]simplify: iters left: 5 (7 enodes) 1539348203.413 * * [misc]simplify: iters left: 4 (9 enodes) 1539348203.415 * * [misc]simplify: iters left: 3 (12 enodes) 1539348203.416 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1539348203.416 * [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))) 1539348203.416 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1539348203.416 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1539348203.416 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1539348203.416 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1539348203.417 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1539348203.417 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1539348203.417 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1539348203.417 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1539348203.417 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1539348203.417 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1539348203.417 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1539348203.417 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1539348203.417 * * [misc]simplify: iters left: 6 (14 enodes) 1539348203.419 * * [misc]simplify: iters left: 5 (27 enodes) 1539348203.424 * * [misc]simplify: iters left: 4 (55 enodes) 1539348203.434 * * [misc]simplify: iters left: 3 (144 enodes) 1539348203.505 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1539348203.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1539348203.505 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1539348203.505 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1539348203.505 * * [misc]simplify: iters left: 6 (14 enodes) 1539348203.507 * * [misc]simplify: iters left: 5 (27 enodes) 1539348203.511 * * [misc]simplify: iters left: 4 (55 enodes) 1539348203.522 * * [misc]simplify: iters left: 3 (144 enodes) 1539348203.611 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1539348203.612 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1539348203.612 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1539348203.612 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1539348203.612 * * [misc]simplify: iters left: 6 (14 enodes) 1539348203.617 * * [misc]simplify: iters left: 5 (24 enodes) 1539348203.625 * * [misc]simplify: iters left: 4 (43 enodes) 1539348203.637 * * [misc]simplify: iters left: 3 (73 enodes) 1539348203.658 * * [misc]simplify: iters left: 2 (220 enodes) 1539348203.882 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1539348203.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1539348203.882 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1539348203.882 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1539348203.882 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1539348203.883 * [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))) 1539348203.883 * * [misc]simplify: iters left: 6 (16 enodes) 1539348203.889 * * [misc]simplify: iters left: 5 (31 enodes) 1539348203.899 * * [misc]simplify: iters left: 4 (67 enodes) 1539348203.921 * * [misc]simplify: iters left: 3 (124 enodes) 1539348203.951 * * [misc]simplify: iters left: 2 (195 enodes) 1539348204.004 * * [misc]simplify: iters left: 1 (309 enodes) 1539348204.138 * [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)))) 1539348204.138 * [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)))))) 1539348204.138 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1539348204.138 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1539348204.138 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1539348204.138 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1539348204.138 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1539348204.139 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539348204.139 * * [misc]simplify: iters left: 6 (12 enodes) 1539348204.142 * * [misc]simplify: iters left: 5 (19 enodes) 1539348204.148 * * [misc]simplify: iters left: 4 (25 enodes) 1539348204.155 * * [misc]simplify: iters left: 3 (26 enodes) 1539348204.161 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539348204.161 * [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))))) 1539348204.161 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1539348204.162 * * [misc]simplify: iters left: 6 (12 enodes) 1539348204.165 * * [misc]simplify: iters left: 5 (18 enodes) 1539348204.170 * * [misc]simplify: iters left: 4 (24 enodes) 1539348204.177 * * [misc]simplify: iters left: 3 (25 enodes) 1539348204.183 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1539348204.183 * [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))))) 1539348204.183 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1539348204.183 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1539348204.183 * * [misc]simplify: iters left: 6 (11 enodes) 1539348204.187 * * [misc]simplify: iters left: 5 (16 enodes) 1539348204.191 * * [misc]simplify: iters left: 4 (22 enodes) 1539348204.197 * * [misc]simplify: iters left: 3 (24 enodes) 1539348204.203 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1539348204.203 * [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))))) 1539348204.204 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1539348204.204 * * [misc]simplify: iters left: 6 (12 enodes) 1539348204.208 * * [misc]simplify: iters left: 5 (18 enodes) 1539348204.213 * * [misc]simplify: iters left: 4 (24 enodes) 1539348204.219 * * [misc]simplify: iters left: 3 (25 enodes) 1539348204.225 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1539348204.225 * [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))))) 1539348204.225 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1539348204.226 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1539348204.226 * * [misc]simplify: iters left: 6 (9 enodes) 1539348204.228 * * [misc]simplify: iters left: 5 (16 enodes) 1539348204.233 * * [misc]simplify: iters left: 4 (24 enodes) 1539348204.239 * * [misc]simplify: iters left: 3 (26 enodes) 1539348204.247 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1539348204.247 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1539348204.247 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1539348204.247 * * [misc]simplify: iters left: 6 (11 enodes) 1539348204.250 * * [misc]simplify: iters left: 5 (17 enodes) 1539348204.255 * * [misc]simplify: iters left: 4 (23 enodes) 1539348204.260 * * [misc]simplify: iters left: 3 (24 enodes) 1539348204.263 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1539348204.263 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1539348204.263 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1539348204.264 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539348204.264 * * [misc]simplify: iters left: 6 (12 enodes) 1539348204.265 * * [misc]simplify: iters left: 5 (19 enodes) 1539348204.268 * * [misc]simplify: iters left: 4 (25 enodes) 1539348204.271 * * [misc]simplify: iters left: 3 (26 enodes) 1539348204.274 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539348204.274 * [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))))) 1539348204.274 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1539348204.274 * * [misc]simplify: iters left: 6 (12 enodes) 1539348204.276 * * [misc]simplify: iters left: 5 (18 enodes) 1539348204.279 * * [misc]simplify: iters left: 4 (24 enodes) 1539348204.282 * * [misc]simplify: iters left: 3 (25 enodes) 1539348204.285 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1539348204.285 * [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))))) 1539348204.285 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1539348204.285 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1539348204.285 * * [misc]simplify: iters left: 6 (11 enodes) 1539348204.286 * * [misc]simplify: iters left: 5 (16 enodes) 1539348204.288 * * [misc]simplify: iters left: 4 (22 enodes) 1539348204.291 * * [misc]simplify: iters left: 3 (24 enodes) 1539348204.294 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1539348204.294 * [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))))) 1539348204.294 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1539348204.294 * * [misc]simplify: iters left: 6 (12 enodes) 1539348204.296 * * [misc]simplify: iters left: 5 (18 enodes) 1539348204.299 * * [misc]simplify: iters left: 4 (24 enodes) 1539348204.302 * * [misc]simplify: iters left: 3 (25 enodes) 1539348204.305 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1539348204.305 * [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))))) 1539348204.305 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1539348204.305 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1539348204.305 * * [misc]simplify: iters left: 6 (9 enodes) 1539348204.306 * * [misc]simplify: iters left: 5 (16 enodes) 1539348204.309 * * [misc]simplify: iters left: 4 (24 enodes) 1539348204.312 * * [misc]simplify: iters left: 3 (26 enodes) 1539348204.314 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1539348204.314 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1539348204.315 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1539348204.315 * * [misc]simplify: iters left: 6 (11 enodes) 1539348204.316 * * [misc]simplify: iters left: 5 (17 enodes) 1539348204.319 * * [misc]simplify: iters left: 4 (23 enodes) 1539348204.324 * * [misc]simplify: iters left: 3 (24 enodes) 1539348204.331 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1539348204.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1539348204.332 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1539348204.332 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539348204.332 * * [misc]simplify: iters left: 6 (11 enodes) 1539348204.335 * * [misc]simplify: iters left: 5 (15 enodes) 1539348204.340 * * [misc]simplify: iters left: 4 (18 enodes) 1539348204.345 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539348204.345 * [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))))) 1539348204.345 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1539348204.345 * * [misc]simplify: iters left: 6 (11 enodes) 1539348204.348 * * [misc]simplify: iters left: 5 (14 enodes) 1539348204.350 * * [misc]simplify: iters left: 4 (17 enodes) 1539348204.352 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1539348204.352 * [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))))) 1539348204.352 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1539348204.352 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539348204.352 * * [misc]simplify: iters left: 6 (10 enodes) 1539348204.354 * * [misc]simplify: iters left: 5 (12 enodes) 1539348204.355 * * [misc]simplify: iters left: 4 (15 enodes) 1539348204.357 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539348204.357 * [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))))) 1539348204.357 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539348204.358 * * [misc]simplify: iters left: 6 (11 enodes) 1539348204.359 * * [misc]simplify: iters left: 5 (14 enodes) 1539348204.361 * * [misc]simplify: iters left: 4 (17 enodes) 1539348204.363 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539348204.363 * [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))))) 1539348204.363 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1539348204.364 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1539348204.364 * * [misc]simplify: iters left: 6 (9 enodes) 1539348204.365 * * [misc]simplify: iters left: 5 (13 enodes) 1539348204.367 * * [misc]simplify: iters left: 4 (18 enodes) 1539348204.369 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1539348204.369 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1539348204.369 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1539348204.369 * * [misc]simplify: iters left: 6 (10 enodes) 1539348204.371 * * [misc]simplify: iters left: 5 (13 enodes) 1539348204.373 * * [misc]simplify: iters left: 4 (16 enodes) 1539348204.378 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1539348204.378 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1539348204.378 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1539348204.378 * [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)))) 1539348204.378 * * [misc]simplify: iters left: 6 (16 enodes) 1539348204.383 * * [misc]simplify: iters left: 5 (28 enodes) 1539348204.392 * * [misc]simplify: iters left: 4 (46 enodes) 1539348204.404 * * [misc]simplify: iters left: 3 (50 enodes) 1539348204.417 * * [misc]simplify: iters left: 2 (53 enodes) 1539348204.430 * [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)))) 1539348204.431 * [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))))) 1539348204.431 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1539348204.431 * * [misc]simplify: iters left: 6 (14 enodes) 1539348204.435 * * [misc]simplify: iters left: 5 (20 enodes) 1539348204.441 * * [misc]simplify: iters left: 4 (29 enodes) 1539348204.449 * * [misc]simplify: iters left: 3 (30 enodes) 1539348204.457 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1539348204.458 * [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))))) 1539348204.458 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1539348204.458 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1539348204.458 * * [misc]simplify: iters left: 6 (15 enodes) 1539348204.463 * * [misc]simplify: iters left: 5 (23 enodes) 1539348204.469 * * [misc]simplify: iters left: 4 (34 enodes) 1539348204.477 * * [misc]simplify: iters left: 3 (37 enodes) 1539348204.481 * [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)))))) 1539348204.482 * [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))))) 1539348204.482 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539348204.482 * * [misc]simplify: iters left: 6 (14 enodes) 1539348204.484 * * [misc]simplify: iters left: 5 (20 enodes) 1539348204.486 * * [misc]simplify: iters left: 4 (29 enodes) 1539348204.490 * * [misc]simplify: iters left: 3 (30 enodes) 1539348204.494 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539348204.494 * [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))))) 1539348204.494 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1539348204.494 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1539348204.494 * * [misc]simplify: iters left: 6 (14 enodes) 1539348204.496 * * [misc]simplify: iters left: 5 (24 enodes) 1539348204.500 * * [misc]simplify: iters left: 4 (39 enodes) 1539348204.505 * * [misc]simplify: iters left: 3 (54 enodes) 1539348204.514 * * [misc]simplify: iters left: 2 (80 enodes) 1539348204.534 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1539348204.534 * [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)))) 1539348204.534 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1539348204.535 * * [misc]simplify: iters left: 6 (13 enodes) 1539348204.537 * * [misc]simplify: iters left: 5 (19 enodes) 1539348204.539 * * [misc]simplify: iters left: 4 (28 enodes) 1539348204.543 * * [misc]simplify: iters left: 3 (30 enodes) 1539348204.547 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1539348204.547 * [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)))) 1539348204.547 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1539348204.547 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539348204.548 * * [misc]simplify: iters left: 6 (15 enodes) 1539348204.550 * * [misc]simplify: iters left: 5 (23 enodes) 1539348204.553 * * [misc]simplify: iters left: 4 (32 enodes) 1539348204.557 * * [misc]simplify: iters left: 3 (34 enodes) 1539348204.561 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539348204.561 * [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))))) 1539348204.561 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1539348204.562 * * [misc]simplify: iters left: 6 (14 enodes) 1539348204.564 * * [misc]simplify: iters left: 5 (20 enodes) 1539348204.566 * * [misc]simplify: iters left: 4 (29 enodes) 1539348204.573 * * [misc]simplify: iters left: 3 (30 enodes) 1539348204.581 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1539348204.581 * [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))))) 1539348204.581 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1539348204.581 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539348204.582 * * [misc]simplify: iters left: 6 (14 enodes) 1539348204.586 * * [misc]simplify: iters left: 5 (20 enodes) 1539348204.592 * * [misc]simplify: iters left: 4 (29 enodes) 1539348204.597 * * [misc]simplify: iters left: 3 (30 enodes) 1539348204.601 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539348204.601 * [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))))) 1539348204.601 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539348204.601 * * [misc]simplify: iters left: 6 (14 enodes) 1539348204.603 * * [misc]simplify: iters left: 5 (20 enodes) 1539348204.606 * * [misc]simplify: iters left: 4 (29 enodes) 1539348204.610 * * [misc]simplify: iters left: 3 (30 enodes) 1539348204.614 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539348204.614 * [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))))) 1539348204.614 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1539348204.614 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1539348204.614 * * [misc]simplify: iters left: 6 (13 enodes) 1539348204.616 * * [misc]simplify: iters left: 5 (21 enodes) 1539348204.620 * * [misc]simplify: iters left: 4 (32 enodes) 1539348204.623 * * [misc]simplify: iters left: 3 (33 enodes) 1539348204.627 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1539348204.627 * [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)))) 1539348204.627 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1539348204.627 * * [misc]simplify: iters left: 6 (13 enodes) 1539348204.631 * * [misc]simplify: iters left: 5 (19 enodes) 1539348204.636 * * [misc]simplify: iters left: 4 (28 enodes) 1539348204.645 * * [misc]simplify: iters left: 3 (30 enodes) 1539348204.652 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1539348204.652 * [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)))) 1539348204.652 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1539348204.653 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539348204.653 * * [misc]simplify: iters left: 6 (6 enodes) 1539348204.655 * * [misc]simplify: iters left: 5 (10 enodes) 1539348204.658 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1539348204.658 * [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))))) 1539348204.658 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1539348204.658 * * [misc]simplify: iters left: 6 (13 enodes) 1539348204.662 * * [misc]simplify: iters left: 5 (19 enodes) 1539348204.668 * * [misc]simplify: iters left: 4 (28 enodes) 1539348204.675 * * [misc]simplify: iters left: 3 (30 enodes) 1539348204.683 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1539348204.683 * [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))))) 1539348204.683 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1539348204.683 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1539348204.683 * * [misc]simplify: iters left: 4 (5 enodes) 1539348204.685 * * [misc]simplify: iters left: 3 (7 enodes) 1539348204.686 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1539348204.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1539348204.687 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539348204.687 * * [misc]simplify: iters left: 6 (13 enodes) 1539348204.691 * * [misc]simplify: iters left: 5 (19 enodes) 1539348204.696 * * [misc]simplify: iters left: 4 (28 enodes) 1539348204.704 * * [misc]simplify: iters left: 3 (30 enodes) 1539348204.711 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539348204.712 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1539348204.712 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1539348204.712 * [enter]simplify: Simplifying (/ 1 1) 1539348204.712 * * [misc]simplify: iters left: 2 (2 enodes) 1539348204.713 * * [misc]simplify: iters left: 1 (4 enodes) 1539348204.713 * [exit]simplify: Simplified to 1 1539348204.713 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1539348204.714 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1539348204.714 * * [misc]simplify: iters left: 6 (12 enodes) 1539348204.717 * * [misc]simplify: iters left: 5 (18 enodes) 1539348204.723 * * [misc]simplify: iters left: 4 (27 enodes) 1539348204.731 * * [misc]simplify: iters left: 3 (29 enodes) 1539348204.738 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1539348204.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1539348204.738 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1539348204.738 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1539348204.738 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1539348204.738 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1539348204.738 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1539348204.738 * * [misc]simplify: iters left: 2 (3 enodes) 1539348204.739 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1539348204.739 * [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)))) 1539348204.739 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1539348204.740 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1539348204.740 * * [misc]simplify: iters left: 2 (3 enodes) 1539348204.740 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1539348204.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1539348204.741 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1539348204.741 * [enter]simplify: Simplifying (sqrt k) 1539348204.741 * * [misc]simplify: iters left: 1 (2 enodes) 1539348204.741 * [exit]simplify: Simplified to (sqrt k) 1539348204.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1539348204.742 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1539348204.742 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1539348204.742 * * [misc]simplify: iters left: 5 (7 enodes) 1539348204.744 * * [misc]simplify: iters left: 4 (12 enodes) 1539348204.747 * * [misc]simplify: iters left: 3 (18 enodes) 1539348204.752 * * [misc]simplify: iters left: 2 (20 enodes) 1539348204.757 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1539348204.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1539348204.757 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1539348204.758 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1539348204.758 * * [misc]simplify: iters left: 5 (7 enodes) 1539348204.760 * * [misc]simplify: iters left: 4 (12 enodes) 1539348204.763 * * [misc]simplify: iters left: 3 (18 enodes) 1539348204.768 * * [misc]simplify: iters left: 2 (20 enodes) 1539348204.773 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1539348204.773 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1539348204.773 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1539348204.774 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1539348204.774 * * [misc]simplify: iters left: 5 (7 enodes) 1539348204.776 * * [misc]simplify: iters left: 4 (9 enodes) 1539348204.779 * * [misc]simplify: iters left: 3 (12 enodes) 1539348204.782 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1539348204.782 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539348204.782 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1539348204.783 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539348204.783 * * [misc]simplify: iters left: 6 (12 enodes) 1539348204.786 * * [misc]simplify: iters left: 5 (18 enodes) 1539348204.793 * * [misc]simplify: iters left: 4 (27 enodes) 1539348204.800 * * [misc]simplify: iters left: 3 (29 enodes) 1539348204.808 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1539348204.808 * [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))))))) 1539348204.808 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1539348204.808 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539348204.808 * * [misc]simplify: iters left: 6 (11 enodes) 1539348204.812 * * [misc]simplify: iters left: 5 (17 enodes) 1539348204.817 * * [misc]simplify: iters left: 4 (26 enodes) 1539348204.823 * * [misc]simplify: iters left: 3 (27 enodes) 1539348204.830 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1539348204.830 * [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))))))) 1539348204.830 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1539348204.831 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1539348204.831 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1539348204.831 * * [misc]simplify: iters left: 5 (7 enodes) 1539348204.833 * * [misc]simplify: iters left: 4 (12 enodes) 1539348204.837 * * [misc]simplify: iters left: 3 (18 enodes) 1539348204.841 * * [misc]simplify: iters left: 2 (20 enodes) 1539348204.846 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1539348204.846 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348204.846 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1539348204.847 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348204.847 * * [misc]simplify: iters left: 4 (5 enodes) 1539348204.848 * * [misc]simplify: iters left: 3 (9 enodes) 1539348204.851 * * [misc]simplify: iters left: 2 (15 enodes) 1539348204.855 * * [misc]simplify: iters left: 1 (17 enodes) 1539348204.859 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348204.859 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1539348204.859 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1539348204.859 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348204.859 * * [misc]simplify: iters left: 4 (5 enodes) 1539348204.861 * * [misc]simplify: iters left: 3 (9 enodes) 1539348204.864 * * [misc]simplify: iters left: 2 (15 enodes) 1539348204.867 * * [misc]simplify: iters left: 1 (17 enodes) 1539348204.871 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348204.872 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1539348204.872 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1539348204.872 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348204.872 * * [misc]simplify: iters left: 4 (5 enodes) 1539348204.874 * * [misc]simplify: iters left: 3 (9 enodes) 1539348204.876 * * [misc]simplify: iters left: 2 (15 enodes) 1539348204.880 * * [misc]simplify: iters left: 1 (17 enodes) 1539348204.884 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348204.884 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1539348204.885 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1539348204.885 * [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))))) 1539348204.885 * * [misc]simplify: iters left: 6 (37 enodes) 1539348204.900 * * [misc]simplify: iters left: 5 (108 enodes) 1539348204.947 * * [misc]simplify: iters left: 4 (368 enodes) 1539348205.177 * [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)))))) 1539348205.177 * [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))) 1539348205.177 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1539348205.178 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1539348205.178 * * [misc]simplify: iters left: 6 (15 enodes) 1539348205.184 * * [misc]simplify: iters left: 5 (33 enodes) 1539348205.195 * * [misc]simplify: iters left: 4 (64 enodes) 1539348205.219 * * [misc]simplify: iters left: 3 (179 enodes) 1539348205.324 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1539348205.324 * [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))) 1539348205.324 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1539348205.324 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1539348205.325 * * [misc]simplify: iters left: 6 (15 enodes) 1539348205.328 * * [misc]simplify: iters left: 5 (30 enodes) 1539348205.336 * * [misc]simplify: iters left: 4 (65 enodes) 1539348205.350 * * [misc]simplify: iters left: 3 (208 enodes) 1539348205.843 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1539348205.843 * [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))) 1539348205.843 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1539348205.843 * [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)))))))))))))))))))))) 1539348205.844 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539348205.844 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1539348205.844 * [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)))))))) 1539348205.844 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539348205.844 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1539348205.844 * [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))))))))))) 1539348205.844 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539348205.844 * * * [misc]progress: adding candidates to table 1539348206.686 * * [misc]progress: iteration 2 / 4 1539348206.686 * * * [misc]progress: picking best candidate 1539348206.761 * * * * [misc]pick: Picked # 1539348206.761 * * * [misc]progress: localizing error 1539348206.784 * * * [misc]progress: generating rewritten candidates 1539348206.784 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) 1539348206.786 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1539348206.789 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1539348206.813 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1539348206.816 * * * [misc]progress: generating series expansions 1539348206.816 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) 1539348206.816 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1539348206.816 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1539348206.816 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348206.816 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.817 * [misc]backup-simplify: Simplify 2 into 2 1539348206.817 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348206.817 * [misc]taylor: Taking taylor expansion of n in n 1539348206.817 * [misc]backup-simplify: Simplify 0 into 0 1539348206.817 * [misc]backup-simplify: Simplify 1 into 1 1539348206.817 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.817 * [misc]backup-simplify: Simplify PI into PI 1539348206.817 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348206.817 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.817 * [misc]backup-simplify: Simplify 2 into 2 1539348206.817 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348206.817 * [misc]taylor: Taking taylor expansion of n in n 1539348206.817 * [misc]backup-simplify: Simplify 0 into 0 1539348206.817 * [misc]backup-simplify: Simplify 1 into 1 1539348206.817 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.817 * [misc]backup-simplify: Simplify PI into PI 1539348206.818 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348206.818 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348206.818 * [misc]backup-simplify: Simplify 0 into 0 1539348206.818 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348206.819 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348206.819 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348206.820 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348206.822 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348206.822 * [misc]backup-simplify: Simplify 0 into 0 1539348206.823 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348206.824 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348206.824 * [misc]backup-simplify: Simplify 0 into 0 1539348206.825 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348206.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539348206.826 * [misc]backup-simplify: Simplify 0 into 0 1539348206.828 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348206.829 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1539348206.829 * [misc]backup-simplify: Simplify 0 into 0 1539348206.831 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348206.833 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1539348206.833 * [misc]backup-simplify: Simplify 0 into 0 1539348206.836 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1539348206.844 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1539348206.844 * [misc]backup-simplify: Simplify 0 into 0 1539348206.845 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1539348206.845 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1539348206.845 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1539348206.845 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348206.845 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.845 * [misc]backup-simplify: Simplify 2 into 2 1539348206.845 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348206.845 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.845 * [misc]backup-simplify: Simplify PI into PI 1539348206.845 * [misc]taylor: Taking taylor expansion of n in n 1539348206.845 * [misc]backup-simplify: Simplify 0 into 0 1539348206.845 * [misc]backup-simplify: Simplify 1 into 1 1539348206.845 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348206.845 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348206.845 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.846 * [misc]backup-simplify: Simplify 2 into 2 1539348206.846 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348206.846 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.846 * [misc]backup-simplify: Simplify PI into PI 1539348206.846 * [misc]taylor: Taking taylor expansion of n in n 1539348206.846 * [misc]backup-simplify: Simplify 0 into 0 1539348206.846 * [misc]backup-simplify: Simplify 1 into 1 1539348206.846 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348206.846 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348206.846 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348206.848 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348206.848 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348206.848 * [misc]backup-simplify: Simplify 0 into 0 1539348206.850 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.851 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348206.851 * [misc]backup-simplify: Simplify 0 into 0 1539348206.852 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.854 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348206.854 * [misc]backup-simplify: Simplify 0 into 0 1539348206.856 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.858 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348206.858 * [misc]backup-simplify: Simplify 0 into 0 1539348206.860 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.863 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348206.863 * [misc]backup-simplify: Simplify 0 into 0 1539348206.865 * [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 1539348206.869 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348206.869 * [misc]backup-simplify: Simplify 0 into 0 1539348206.869 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1539348206.869 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1539348206.869 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1539348206.869 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348206.869 * [misc]taylor: Taking taylor expansion of -2 in n 1539348206.869 * [misc]backup-simplify: Simplify -2 into -2 1539348206.870 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348206.870 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.870 * [misc]backup-simplify: Simplify PI into PI 1539348206.870 * [misc]taylor: Taking taylor expansion of n in n 1539348206.870 * [misc]backup-simplify: Simplify 0 into 0 1539348206.870 * [misc]backup-simplify: Simplify 1 into 1 1539348206.870 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348206.870 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348206.870 * [misc]taylor: Taking taylor expansion of -2 in n 1539348206.870 * [misc]backup-simplify: Simplify -2 into -2 1539348206.870 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348206.870 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.870 * [misc]backup-simplify: Simplify PI into PI 1539348206.870 * [misc]taylor: Taking taylor expansion of n in n 1539348206.870 * [misc]backup-simplify: Simplify 0 into 0 1539348206.870 * [misc]backup-simplify: Simplify 1 into 1 1539348206.871 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348206.871 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348206.871 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348206.872 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348206.873 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348206.873 * [misc]backup-simplify: Simplify 0 into 0 1539348206.874 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.875 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348206.875 * [misc]backup-simplify: Simplify 0 into 0 1539348206.877 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.878 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348206.878 * [misc]backup-simplify: Simplify 0 into 0 1539348206.880 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.882 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348206.882 * [misc]backup-simplify: Simplify 0 into 0 1539348206.885 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.887 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348206.887 * [misc]backup-simplify: Simplify 0 into 0 1539348206.890 * [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 1539348206.893 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348206.893 * [misc]backup-simplify: Simplify 0 into 0 1539348206.893 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1539348206.893 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1539348206.894 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1539348206.894 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1539348206.894 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348206.894 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.894 * [misc]backup-simplify: Simplify 2 into 2 1539348206.894 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348206.894 * [misc]taylor: Taking taylor expansion of n in n 1539348206.894 * [misc]backup-simplify: Simplify 0 into 0 1539348206.894 * [misc]backup-simplify: Simplify 1 into 1 1539348206.894 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.894 * [misc]backup-simplify: Simplify PI into PI 1539348206.894 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348206.894 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.894 * [misc]backup-simplify: Simplify 2 into 2 1539348206.894 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348206.894 * [misc]taylor: Taking taylor expansion of n in n 1539348206.894 * [misc]backup-simplify: Simplify 0 into 0 1539348206.894 * [misc]backup-simplify: Simplify 1 into 1 1539348206.894 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.894 * [misc]backup-simplify: Simplify PI into PI 1539348206.894 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348206.895 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348206.895 * [misc]backup-simplify: Simplify 0 into 0 1539348206.895 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348206.896 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348206.896 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348206.897 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348206.898 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348206.898 * [misc]backup-simplify: Simplify 0 into 0 1539348206.900 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348206.901 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348206.901 * [misc]backup-simplify: Simplify 0 into 0 1539348206.904 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348206.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539348206.907 * [misc]backup-simplify: Simplify 0 into 0 1539348206.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348206.912 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1539348206.912 * [misc]backup-simplify: Simplify 0 into 0 1539348206.915 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348206.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1539348206.919 * [misc]backup-simplify: Simplify 0 into 0 1539348206.923 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1539348206.927 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1539348206.927 * [misc]backup-simplify: Simplify 0 into 0 1539348206.927 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1539348206.927 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1539348206.927 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1539348206.927 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348206.927 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.927 * [misc]backup-simplify: Simplify 2 into 2 1539348206.927 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348206.927 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.927 * [misc]backup-simplify: Simplify PI into PI 1539348206.927 * [misc]taylor: Taking taylor expansion of n in n 1539348206.927 * [misc]backup-simplify: Simplify 0 into 0 1539348206.927 * [misc]backup-simplify: Simplify 1 into 1 1539348206.928 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348206.928 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348206.928 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.928 * [misc]backup-simplify: Simplify 2 into 2 1539348206.928 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348206.928 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.928 * [misc]backup-simplify: Simplify PI into PI 1539348206.928 * [misc]taylor: Taking taylor expansion of n in n 1539348206.928 * [misc]backup-simplify: Simplify 0 into 0 1539348206.928 * [misc]backup-simplify: Simplify 1 into 1 1539348206.928 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348206.929 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348206.929 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348206.930 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348206.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348206.931 * [misc]backup-simplify: Simplify 0 into 0 1539348206.932 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.933 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348206.933 * [misc]backup-simplify: Simplify 0 into 0 1539348206.935 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.936 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348206.936 * [misc]backup-simplify: Simplify 0 into 0 1539348206.938 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.940 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348206.940 * [misc]backup-simplify: Simplify 0 into 0 1539348206.943 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.945 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348206.945 * [misc]backup-simplify: Simplify 0 into 0 1539348206.947 * [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 1539348206.951 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348206.951 * [misc]backup-simplify: Simplify 0 into 0 1539348206.951 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1539348206.951 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1539348206.951 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1539348206.951 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348206.951 * [misc]taylor: Taking taylor expansion of -2 in n 1539348206.951 * [misc]backup-simplify: Simplify -2 into -2 1539348206.951 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348206.951 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.951 * [misc]backup-simplify: Simplify PI into PI 1539348206.952 * [misc]taylor: Taking taylor expansion of n in n 1539348206.952 * [misc]backup-simplify: Simplify 0 into 0 1539348206.952 * [misc]backup-simplify: Simplify 1 into 1 1539348206.952 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348206.952 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348206.952 * [misc]taylor: Taking taylor expansion of -2 in n 1539348206.952 * [misc]backup-simplify: Simplify -2 into -2 1539348206.952 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348206.952 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.952 * [misc]backup-simplify: Simplify PI into PI 1539348206.952 * [misc]taylor: Taking taylor expansion of n in n 1539348206.952 * [misc]backup-simplify: Simplify 0 into 0 1539348206.952 * [misc]backup-simplify: Simplify 1 into 1 1539348206.952 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348206.953 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348206.953 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348206.954 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348206.955 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348206.955 * [misc]backup-simplify: Simplify 0 into 0 1539348206.956 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.958 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348206.958 * [misc]backup-simplify: Simplify 0 into 0 1539348206.959 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.961 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348206.961 * [misc]backup-simplify: Simplify 0 into 0 1539348206.963 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.965 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348206.965 * [misc]backup-simplify: Simplify 0 into 0 1539348206.967 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348206.969 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348206.969 * [misc]backup-simplify: Simplify 0 into 0 1539348206.970 * [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 1539348206.972 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348206.972 * [misc]backup-simplify: Simplify 0 into 0 1539348206.972 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1539348206.972 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1539348206.973 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) into (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) 1539348206.973 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 1539348206.973 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of 2 in k 1539348206.973 * [misc]backup-simplify: Simplify 2 into 2 1539348206.973 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348206.973 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348206.973 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348206.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348206.973 * [misc]taylor: Taking taylor expansion of k in k 1539348206.973 * [misc]backup-simplify: Simplify 0 into 0 1539348206.973 * [misc]backup-simplify: Simplify 1 into 1 1539348206.973 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of 2 in k 1539348206.973 * [misc]backup-simplify: Simplify 2 into 2 1539348206.973 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348206.973 * [misc]taylor: Taking taylor expansion of n in k 1539348206.973 * [misc]backup-simplify: Simplify n into n 1539348206.973 * [misc]taylor: Taking taylor expansion of PI in k 1539348206.973 * [misc]backup-simplify: Simplify PI into PI 1539348206.973 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348206.973 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539348206.973 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539348206.973 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348206.974 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1539348206.974 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539348206.974 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1539348206.974 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1539348206.975 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539348206.975 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1539348206.975 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348206.975 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1539348206.975 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1539348206.975 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1539348206.975 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348206.975 * [misc]taylor: Taking taylor expansion of n in k 1539348206.975 * [misc]backup-simplify: Simplify n into n 1539348206.975 * [misc]taylor: Taking taylor expansion of PI in k 1539348206.975 * [misc]backup-simplify: Simplify PI into PI 1539348206.975 * [misc]taylor: Taking taylor expansion of k in k 1539348206.975 * [misc]backup-simplify: Simplify 0 into 0 1539348206.975 * [misc]backup-simplify: Simplify 1 into 1 1539348206.975 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348206.975 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1539348206.975 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348206.975 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1539348206.976 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.976 * [misc]backup-simplify: Simplify 2 into 2 1539348206.976 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348206.976 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348206.976 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348206.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348206.976 * [misc]taylor: Taking taylor expansion of k in n 1539348206.976 * [misc]backup-simplify: Simplify k into k 1539348206.976 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.976 * [misc]backup-simplify: Simplify 2 into 2 1539348206.976 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348206.976 * [misc]taylor: Taking taylor expansion of n in n 1539348206.976 * [misc]backup-simplify: Simplify 0 into 0 1539348206.976 * [misc]backup-simplify: Simplify 1 into 1 1539348206.976 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.976 * [misc]backup-simplify: Simplify PI into PI 1539348206.976 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348206.977 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348206.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348206.977 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348206.978 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348206.978 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348206.978 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348206.978 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1539348206.979 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1539348206.979 * [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)))) 1539348206.979 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1539348206.979 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1539348206.979 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348206.979 * [misc]taylor: Taking taylor expansion of n in n 1539348206.979 * [misc]backup-simplify: Simplify 0 into 0 1539348206.979 * [misc]backup-simplify: Simplify 1 into 1 1539348206.979 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.979 * [misc]backup-simplify: Simplify PI into PI 1539348206.979 * [misc]taylor: Taking taylor expansion of k in n 1539348206.979 * [misc]backup-simplify: Simplify k into k 1539348206.980 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348206.980 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348206.980 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1539348206.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348206.980 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1539348206.980 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1539348206.980 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1539348206.980 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348206.980 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.980 * [misc]backup-simplify: Simplify 2 into 2 1539348206.980 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348206.981 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348206.981 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1539348206.981 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1539348206.981 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1539348206.981 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348206.981 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348206.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348206.981 * [misc]taylor: Taking taylor expansion of k in n 1539348206.981 * [misc]backup-simplify: Simplify k into k 1539348206.981 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348206.981 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348206.981 * [misc]taylor: Taking taylor expansion of 2 in n 1539348206.981 * [misc]backup-simplify: Simplify 2 into 2 1539348206.981 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348206.981 * [misc]taylor: Taking taylor expansion of n in n 1539348206.981 * [misc]backup-simplify: Simplify 0 into 0 1539348206.981 * [misc]backup-simplify: Simplify 1 into 1 1539348206.981 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.981 * [misc]backup-simplify: Simplify PI into PI 1539348206.981 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348206.981 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348206.981 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348206.982 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348206.982 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348206.982 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348206.983 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348206.983 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1539348206.983 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1539348206.984 * [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)))) 1539348206.984 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1539348206.984 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1539348206.984 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348206.984 * [misc]taylor: Taking taylor expansion of n in n 1539348206.984 * [misc]backup-simplify: Simplify 0 into 0 1539348206.984 * [misc]backup-simplify: Simplify 1 into 1 1539348206.984 * [misc]taylor: Taking taylor expansion of PI in n 1539348206.984 * [misc]backup-simplify: Simplify PI into PI 1539348206.984 * [misc]taylor: Taking taylor expansion of k in n 1539348206.984 * [misc]backup-simplify: Simplify k into k 1539348206.984 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348206.985 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348206.986 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1539348206.986 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348206.986 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1539348206.986 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1539348206.986 * [misc]taylor: Taking taylor expansion of 0 in k 1539348206.986 * [misc]backup-simplify: Simplify 0 into 0 1539348206.987 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348206.988 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348206.989 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348206.989 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1539348206.990 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348206.990 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1539348206.991 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348206.992 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1539348206.993 * [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)))) 1539348206.993 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)))) in k 1539348206.993 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))) in k 1539348206.993 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348206.993 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348206.993 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)) in k 1539348206.993 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1539348206.993 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348206.993 * [misc]taylor: Taking taylor expansion of 2 in k 1539348206.993 * [misc]backup-simplify: Simplify 2 into 2 1539348206.993 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348206.993 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348206.994 * [misc]taylor: Taking taylor expansion of PI in k 1539348206.994 * [misc]backup-simplify: Simplify PI into PI 1539348206.994 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) in k 1539348206.994 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1539348206.994 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1539348206.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348206.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348206.994 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1539348206.994 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1539348206.994 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348206.994 * [misc]taylor: Taking taylor expansion of n in k 1539348206.994 * [misc]backup-simplify: Simplify n into n 1539348206.994 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348206.994 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348206.994 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348206.994 * [misc]taylor: Taking taylor expansion of 2 in k 1539348206.994 * [misc]backup-simplify: Simplify 2 into 2 1539348206.994 * [misc]taylor: Taking taylor expansion of PI in k 1539348206.994 * [misc]backup-simplify: Simplify PI into PI 1539348206.994 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348206.994 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348206.994 * [misc]taylor: Taking taylor expansion of k in k 1539348206.994 * [misc]backup-simplify: Simplify 0 into 0 1539348206.994 * [misc]backup-simplify: Simplify 1 into 1 1539348206.995 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348206.995 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1539348206.995 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348206.996 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539348206.996 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348206.999 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348206.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348207.000 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1539348207.000 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1539348207.000 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348207.000 * [misc]taylor: Taking taylor expansion of k in k 1539348207.000 * [misc]backup-simplify: Simplify 0 into 0 1539348207.000 * [misc]backup-simplify: Simplify 1 into 1 1539348207.001 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1539348207.001 * [misc]backup-simplify: Simplify (* 1 0) into 0 1539348207.002 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1539348207.003 * [misc]backup-simplify: Simplify (+ (* 1 1) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 0)) into 1 1539348207.003 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1539348207.004 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1539348207.005 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348207.006 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348207.006 * [misc]backup-simplify: Simplify 0 into 0 1539348207.007 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348207.008 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1539348207.008 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1539348207.009 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348207.011 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348207.013 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348207.018 * [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 1539348207.018 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1539348207.019 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348207.020 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539348207.022 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1539348207.025 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0 1539348207.027 * [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))))) 1539348207.027 * [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 1539348207.027 * [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 1539348207.027 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348207.027 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348207.027 * [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 1539348207.027 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1539348207.027 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348207.027 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.027 * [misc]backup-simplify: Simplify 2 into 2 1539348207.027 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.028 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.028 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1539348207.028 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.028 * [misc]backup-simplify: Simplify PI into PI 1539348207.028 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)) in k 1539348207.028 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1539348207.028 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1539348207.028 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348207.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.028 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1539348207.028 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1539348207.028 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348207.028 * [misc]taylor: Taking taylor expansion of n in k 1539348207.028 * [misc]backup-simplify: Simplify n into n 1539348207.028 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348207.028 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348207.028 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348207.028 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.028 * [misc]backup-simplify: Simplify 2 into 2 1539348207.028 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.028 * [misc]backup-simplify: Simplify PI into PI 1539348207.028 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348207.029 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348207.029 * [misc]taylor: Taking taylor expansion of k in k 1539348207.029 * [misc]backup-simplify: Simplify 0 into 0 1539348207.029 * [misc]backup-simplify: Simplify 1 into 1 1539348207.029 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348207.030 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1539348207.030 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348207.031 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539348207.031 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348207.034 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348207.034 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348207.035 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1539348207.036 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1539348207.036 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348207.036 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1539348207.036 * [misc]taylor: Taking taylor expansion of k in k 1539348207.036 * [misc]backup-simplify: Simplify 0 into 0 1539348207.036 * [misc]backup-simplify: Simplify 1 into 1 1539348207.036 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348207.037 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1539348207.037 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.037 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.038 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1539348207.039 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348207.040 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1539348207.040 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348207.041 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1539348207.042 * [misc]backup-simplify: Simplify (+ (* 1 0) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1539348207.044 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1539348207.047 * [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))))))) 1539348207.050 * [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))))))) 1539348207.053 * [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))))))) 1539348207.054 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1539348207.056 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1539348207.057 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348207.062 * [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 1539348207.062 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348207.063 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0 1539348207.064 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0 1539348207.065 * [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)))) 1539348207.068 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1539348207.070 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1539348207.073 * [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)))))))) 1539348207.075 * [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)))))))) 1539348207.077 * [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)))))))) 1539348207.084 * [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)))))))))))))) 1539348207.085 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 n)) PI)) (* (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2)))) into (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) 1539348207.085 * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (n k) around 0 1539348207.085 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k 1539348207.085 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1539348207.085 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348207.085 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.085 * [misc]backup-simplify: Simplify 2 into 2 1539348207.085 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.086 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.086 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1539348207.086 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1539348207.086 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1539348207.086 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1539348207.086 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348207.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.086 * [misc]taylor: Taking taylor expansion of k in k 1539348207.086 * [misc]backup-simplify: Simplify 0 into 0 1539348207.086 * [misc]backup-simplify: Simplify 1 into 1 1539348207.086 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1539348207.086 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539348207.086 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539348207.086 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.086 * [misc]backup-simplify: Simplify 2 into 2 1539348207.086 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348207.086 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.086 * [misc]backup-simplify: Simplify PI into PI 1539348207.086 * [misc]taylor: Taking taylor expansion of n in k 1539348207.086 * [misc]backup-simplify: Simplify n into n 1539348207.086 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348207.086 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539348207.087 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539348207.087 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1539348207.087 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1539348207.087 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) 1539348207.087 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1539348207.087 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1539348207.087 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1539348207.087 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.087 * [misc]backup-simplify: Simplify PI into PI 1539348207.087 * [misc]taylor: Taking taylor expansion of k in k 1539348207.087 * [misc]backup-simplify: Simplify 0 into 0 1539348207.087 * [misc]backup-simplify: Simplify 1 into 1 1539348207.087 * [misc]taylor: Taking taylor expansion of n in k 1539348207.087 * [misc]backup-simplify: Simplify n into n 1539348207.088 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539348207.088 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539348207.089 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348207.089 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.089 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1539348207.089 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1539348207.089 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1539348207.089 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348207.089 * [misc]taylor: Taking taylor expansion of 2 in n 1539348207.089 * [misc]backup-simplify: Simplify 2 into 2 1539348207.089 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.089 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.089 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1539348207.089 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1539348207.090 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1539348207.090 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1539348207.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348207.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.090 * [misc]taylor: Taking taylor expansion of k in n 1539348207.090 * [misc]backup-simplify: Simplify k into k 1539348207.090 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1539348207.090 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348207.090 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348207.090 * [misc]taylor: Taking taylor expansion of 2 in n 1539348207.090 * [misc]backup-simplify: Simplify 2 into 2 1539348207.090 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.090 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.090 * [misc]backup-simplify: Simplify PI into PI 1539348207.090 * [misc]taylor: Taking taylor expansion of n in n 1539348207.090 * [misc]backup-simplify: Simplify 0 into 0 1539348207.090 * [misc]backup-simplify: Simplify 1 into 1 1539348207.090 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.090 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348207.091 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348207.092 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348207.092 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348207.093 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348207.093 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1539348207.094 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1539348207.094 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1539348207.094 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1539348207.094 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.094 * [misc]backup-simplify: Simplify PI into PI 1539348207.094 * [misc]taylor: Taking taylor expansion of k in n 1539348207.094 * [misc]backup-simplify: Simplify k into k 1539348207.094 * [misc]taylor: Taking taylor expansion of n in n 1539348207.094 * [misc]backup-simplify: Simplify 0 into 0 1539348207.094 * [misc]backup-simplify: Simplify 1 into 1 1539348207.094 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1539348207.094 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1539348207.094 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.094 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1539348207.094 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n 1539348207.094 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1539348207.094 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348207.094 * [misc]taylor: Taking taylor expansion of 2 in n 1539348207.094 * [misc]backup-simplify: Simplify 2 into 2 1539348207.095 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.095 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.095 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1539348207.095 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1539348207.095 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1539348207.095 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1539348207.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348207.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.095 * [misc]taylor: Taking taylor expansion of k in n 1539348207.095 * [misc]backup-simplify: Simplify k into k 1539348207.095 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1539348207.095 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348207.095 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348207.095 * [misc]taylor: Taking taylor expansion of 2 in n 1539348207.095 * [misc]backup-simplify: Simplify 2 into 2 1539348207.095 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.095 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.095 * [misc]backup-simplify: Simplify PI into PI 1539348207.095 * [misc]taylor: Taking taylor expansion of n in n 1539348207.095 * [misc]backup-simplify: Simplify 0 into 0 1539348207.095 * [misc]backup-simplify: Simplify 1 into 1 1539348207.096 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.096 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348207.096 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348207.097 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348207.098 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348207.098 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348207.099 * [misc]backup-simplify: Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1539348207.099 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1539348207.099 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1539348207.099 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1539348207.099 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.099 * [misc]backup-simplify: Simplify PI into PI 1539348207.099 * [misc]taylor: Taking taylor expansion of k in n 1539348207.099 * [misc]backup-simplify: Simplify k into k 1539348207.099 * [misc]taylor: Taking taylor expansion of n in n 1539348207.099 * [misc]backup-simplify: Simplify 0 into 0 1539348207.099 * [misc]backup-simplify: Simplify 1 into 1 1539348207.099 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1539348207.099 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1539348207.100 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.100 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1539348207.101 * [misc]backup-simplify: Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0 1539348207.101 * [misc]taylor: Taking taylor expansion of 0 in k 1539348207.101 * [misc]backup-simplify: Simplify 0 into 0 1539348207.101 * [misc]backup-simplify: Simplify 0 into 0 1539348207.102 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348207.102 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348207.105 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348207.106 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1539348207.106 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348207.107 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1539348207.108 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348207.110 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.111 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.111 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348207.112 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348207.112 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.112 * [misc]backup-simplify: Simplify 2 into 2 1539348207.112 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.112 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.112 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.112 * [misc]backup-simplify: Simplify PI into PI 1539348207.112 * [misc]taylor: Taking taylor expansion of k in k 1539348207.112 * [misc]backup-simplify: Simplify 0 into 0 1539348207.112 * [misc]backup-simplify: Simplify 1 into 1 1539348207.112 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348207.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.112 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348207.112 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348207.113 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348207.113 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.113 * [misc]backup-simplify: Simplify 2 into 2 1539348207.113 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.113 * [misc]backup-simplify: Simplify PI into PI 1539348207.113 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348207.113 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348207.113 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348207.113 * [misc]taylor: Taking taylor expansion of n in k 1539348207.113 * [misc]backup-simplify: Simplify n into n 1539348207.113 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348207.114 * [misc]taylor: Taking taylor expansion of k in k 1539348207.114 * [misc]backup-simplify: Simplify 0 into 0 1539348207.114 * [misc]backup-simplify: Simplify 1 into 1 1539348207.114 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348207.114 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348207.115 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1539348207.115 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1539348207.116 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348207.116 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539348207.116 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348207.117 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539348207.118 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1539348207.119 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1539348207.119 * [misc]backup-simplify: Simplify 0 into 0 1539348207.119 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1539348207.120 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1539348207.120 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1539348207.121 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348207.123 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.124 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348207.129 * [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 1539348207.129 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348207.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348207.131 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1539348207.133 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1539348207.136 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.137 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.137 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1539348207.137 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1539348207.137 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348207.137 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348207.137 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1539348207.137 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1539348207.137 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348207.137 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.137 * [misc]backup-simplify: Simplify 2 into 2 1539348207.138 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.138 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.138 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1539348207.138 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1539348207.138 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.138 * [misc]backup-simplify: Simplify PI into PI 1539348207.138 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1539348207.138 * [misc]taylor: Taking taylor expansion of k in k 1539348207.138 * [misc]backup-simplify: Simplify 0 into 0 1539348207.138 * [misc]backup-simplify: Simplify 1 into 1 1539348207.138 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1539348207.138 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1539348207.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348207.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.138 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1539348207.138 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348207.138 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348207.138 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348207.138 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.138 * [misc]backup-simplify: Simplify 2 into 2 1539348207.138 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.138 * [misc]backup-simplify: Simplify PI into PI 1539348207.139 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348207.139 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348207.139 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348207.139 * [misc]taylor: Taking taylor expansion of n in k 1539348207.139 * [misc]backup-simplify: Simplify n into n 1539348207.139 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348207.139 * [misc]taylor: Taking taylor expansion of k in k 1539348207.139 * [misc]backup-simplify: Simplify 0 into 0 1539348207.139 * [misc]backup-simplify: Simplify 1 into 1 1539348207.139 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348207.140 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348207.140 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1539348207.140 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1539348207.141 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348207.141 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348207.141 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.141 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1539348207.143 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1539348207.143 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1539348207.144 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1539348207.145 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.145 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.145 * [misc]backup-simplify: Simplify 0 into 0 1539348207.146 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1539348207.146 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.146 * [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))) 1539348207.147 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348207.148 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.148 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348207.153 * [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 1539348207.153 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348207.154 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348207.154 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1539348207.157 * [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 1539348207.158 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.159 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.160 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348207.160 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348207.160 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.160 * [misc]backup-simplify: Simplify 2 into 2 1539348207.160 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.160 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.160 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.160 * [misc]backup-simplify: Simplify PI into PI 1539348207.160 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of k in k 1539348207.160 * [misc]backup-simplify: Simplify 0 into 0 1539348207.160 * [misc]backup-simplify: Simplify 1 into 1 1539348207.160 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348207.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.160 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348207.160 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.160 * [misc]backup-simplify: Simplify 2 into 2 1539348207.160 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.160 * [misc]backup-simplify: Simplify PI into PI 1539348207.160 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348207.161 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348207.161 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348207.161 * [misc]taylor: Taking taylor expansion of n in k 1539348207.161 * [misc]backup-simplify: Simplify n into n 1539348207.161 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348207.161 * [misc]taylor: Taking taylor expansion of k in k 1539348207.161 * [misc]backup-simplify: Simplify 0 into 0 1539348207.161 * [misc]backup-simplify: Simplify 1 into 1 1539348207.161 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348207.161 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348207.162 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1539348207.162 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1539348207.162 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348207.162 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348207.163 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1539348207.163 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.163 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.163 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1539348207.164 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1539348207.164 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1539348207.165 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1539348207.166 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348207.166 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1539348207.168 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.168 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1539348207.169 * [misc]backup-simplify: Simplify (- 0) into 0 1539348207.169 * [misc]backup-simplify: Simplify 0 into 0 1539348207.169 * [misc]backup-simplify: Simplify 0 into 0 1539348207.169 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1539348207.170 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.170 * [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))) 1539348207.171 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348207.173 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.174 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348207.181 * [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 1539348207.181 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348207.182 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348207.182 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1539348207.186 * [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 1539348207.188 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.189 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.189 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1539348207.189 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1539348207.189 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348207.189 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348207.189 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1539348207.189 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.190 * [misc]backup-simplify: Simplify 2 into 2 1539348207.190 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.190 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.190 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.190 * [misc]backup-simplify: Simplify PI into PI 1539348207.190 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of k in k 1539348207.190 * [misc]backup-simplify: Simplify 0 into 0 1539348207.190 * [misc]backup-simplify: Simplify 1 into 1 1539348207.190 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348207.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.190 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348207.190 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.190 * [misc]backup-simplify: Simplify 2 into 2 1539348207.190 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.190 * [misc]backup-simplify: Simplify PI into PI 1539348207.190 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348207.191 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348207.191 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348207.191 * [misc]taylor: Taking taylor expansion of n in k 1539348207.191 * [misc]backup-simplify: Simplify n into n 1539348207.191 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348207.191 * [misc]taylor: Taking taylor expansion of k in k 1539348207.191 * [misc]backup-simplify: Simplify 0 into 0 1539348207.191 * [misc]backup-simplify: Simplify 1 into 1 1539348207.191 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348207.191 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348207.191 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1539348207.192 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1539348207.192 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348207.192 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348207.193 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1539348207.193 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.193 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.193 * [misc]backup-simplify: Simplify (* (pow PI 4) 1) into (pow PI 4) 1539348207.194 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1539348207.194 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1539348207.195 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1539348207.197 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.198 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.199 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539348207.199 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348207.201 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348207.203 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.205 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.205 * [misc]backup-simplify: Simplify (- 0) into 0 1539348207.205 * [misc]backup-simplify: Simplify 0 into 0 1539348207.205 * [misc]backup-simplify: Simplify 0 into 0 1539348207.206 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1539348207.207 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.208 * [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))) 1539348207.209 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348207.212 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.214 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348207.234 * [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 1539348207.234 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348207.235 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348207.236 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0 1539348207.244 * [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 1539348207.249 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.251 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.252 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1539348207.252 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1539348207.252 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348207.252 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348207.252 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1539348207.252 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1539348207.252 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348207.252 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.252 * [misc]backup-simplify: Simplify 2 into 2 1539348207.252 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.252 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.252 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1539348207.252 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1539348207.252 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.252 * [misc]backup-simplify: Simplify PI into PI 1539348207.252 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1539348207.252 * [misc]taylor: Taking taylor expansion of k in k 1539348207.252 * [misc]backup-simplify: Simplify 0 into 0 1539348207.252 * [misc]backup-simplify: Simplify 1 into 1 1539348207.252 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1539348207.253 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1539348207.253 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348207.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.253 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1539348207.253 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348207.253 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348207.253 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348207.253 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.253 * [misc]backup-simplify: Simplify 2 into 2 1539348207.253 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.253 * [misc]backup-simplify: Simplify PI into PI 1539348207.253 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348207.254 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348207.254 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348207.254 * [misc]taylor: Taking taylor expansion of n in k 1539348207.254 * [misc]backup-simplify: Simplify n into n 1539348207.254 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348207.254 * [misc]taylor: Taking taylor expansion of k in k 1539348207.254 * [misc]backup-simplify: Simplify 0 into 0 1539348207.254 * [misc]backup-simplify: Simplify 1 into 1 1539348207.254 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348207.254 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348207.255 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1539348207.255 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1539348207.256 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348207.257 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348207.257 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1539348207.258 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1539348207.258 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.258 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.258 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.259 * [misc]backup-simplify: Simplify (* (pow PI 5) 1) into (pow PI 5) 1539348207.259 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1539348207.261 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1539348207.261 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348207.262 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348207.263 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1539348207.264 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1539348207.268 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.270 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1539348207.270 * [misc]backup-simplify: Simplify (- 0) into 0 1539348207.270 * [misc]backup-simplify: Simplify 0 into 0 1539348207.271 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1539348207.272 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348207.275 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539348207.278 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.279 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0 1539348207.280 * [misc]backup-simplify: Simplify (- 0) into 0 1539348207.280 * [misc]backup-simplify: Simplify 0 into 0 1539348207.280 * [misc]backup-simplify: Simplify 0 into 0 1539348207.281 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1539348207.282 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.284 * [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))) 1539348207.285 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348207.288 * [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 1539348207.291 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348207.313 * [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 1539348207.313 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348207.313 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348207.314 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0 1539348207.322 * [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 1539348207.325 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1539348207.327 * [misc]backup-simplify: Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.327 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348207.327 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348207.327 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.327 * [misc]backup-simplify: Simplify 2 into 2 1539348207.327 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.327 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.327 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.327 * [misc]backup-simplify: Simplify PI into PI 1539348207.327 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of k in k 1539348207.327 * [misc]backup-simplify: Simplify 0 into 0 1539348207.327 * [misc]backup-simplify: Simplify 1 into 1 1539348207.327 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348207.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348207.327 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348207.327 * [misc]taylor: Taking taylor expansion of 2 in k 1539348207.327 * [misc]backup-simplify: Simplify 2 into 2 1539348207.327 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.327 * [misc]backup-simplify: Simplify PI into PI 1539348207.328 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348207.328 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348207.328 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348207.328 * [misc]taylor: Taking taylor expansion of n in k 1539348207.328 * [misc]backup-simplify: Simplify n into n 1539348207.328 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348207.328 * [misc]taylor: Taking taylor expansion of k in k 1539348207.328 * [misc]backup-simplify: Simplify 0 into 0 1539348207.328 * [misc]backup-simplify: Simplify 1 into 1 1539348207.328 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348207.328 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348207.329 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1539348207.329 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1539348207.329 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348207.330 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348207.330 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1539348207.330 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1539348207.330 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.331 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.331 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348207.331 * [misc]backup-simplify: Simplify (* (pow PI 6) 1) into (pow PI 6) 1539348207.331 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1539348207.332 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 1539348207.333 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) 1539348207.334 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.335 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) 1539348207.338 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1539348207.338 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (* (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2)))) into (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) 1539348207.338 * [misc]approximate: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (n k) around 0 1539348207.338 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 1539348207.338 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1539348207.338 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348207.338 * [misc]taylor: Taking taylor expansion of -2 in k 1539348207.338 * [misc]backup-simplify: Simplify -2 into -2 1539348207.338 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348207.338 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.338 * [misc]backup-simplify: Simplify PI into PI 1539348207.338 * [misc]taylor: Taking taylor expansion of n in k 1539348207.338 * [misc]backup-simplify: Simplify n into n 1539348207.338 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348207.338 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348207.338 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1539348207.338 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1539348207.339 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1539348207.339 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1539348207.339 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348207.339 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348207.339 * [misc]taylor: Taking taylor expansion of k in k 1539348207.339 * [misc]backup-simplify: Simplify 0 into 0 1539348207.339 * [misc]backup-simplify: Simplify 1 into 1 1539348207.339 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1539348207.339 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of -2 in k 1539348207.339 * [misc]backup-simplify: Simplify -2 into -2 1539348207.339 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.339 * [misc]backup-simplify: Simplify PI into PI 1539348207.339 * [misc]taylor: Taking taylor expansion of n in k 1539348207.339 * [misc]backup-simplify: Simplify n into n 1539348207.339 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348207.339 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348207.339 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539348207.339 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1539348207.339 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1539348207.339 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539348207.339 * [misc]taylor: Taking taylor expansion of -1 in k 1539348207.339 * [misc]backup-simplify: Simplify -1 into -1 1539348207.339 * [misc]taylor: Taking taylor expansion of k in k 1539348207.339 * [misc]backup-simplify: Simplify 0 into 0 1539348207.340 * [misc]backup-simplify: Simplify 1 into 1 1539348207.340 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539348207.340 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.340 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539348207.340 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1539348207.340 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1539348207.341 * [misc]backup-simplify: Simplify (/ (sqrt (* -2 (/ PI n))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1539348207.341 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1539348207.341 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348207.341 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348207.341 * [misc]taylor: Taking taylor expansion of -2 in n 1539348207.341 * [misc]backup-simplify: Simplify -2 into -2 1539348207.341 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.341 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.341 * [misc]backup-simplify: Simplify PI into PI 1539348207.341 * [misc]taylor: Taking taylor expansion of n in n 1539348207.341 * [misc]backup-simplify: Simplify 0 into 0 1539348207.341 * [misc]backup-simplify: Simplify 1 into 1 1539348207.341 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.341 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348207.341 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.342 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348207.342 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1539348207.342 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1539348207.342 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1539348207.342 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1539348207.342 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1539348207.342 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348207.342 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348207.342 * [misc]taylor: Taking taylor expansion of k in n 1539348207.342 * [misc]backup-simplify: Simplify k into k 1539348207.342 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1539348207.342 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348207.342 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348207.342 * [misc]taylor: Taking taylor expansion of -2 in n 1539348207.342 * [misc]backup-simplify: Simplify -2 into -2 1539348207.342 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.343 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.343 * [misc]backup-simplify: Simplify PI into PI 1539348207.343 * [misc]taylor: Taking taylor expansion of n in n 1539348207.343 * [misc]backup-simplify: Simplify 0 into 0 1539348207.343 * [misc]backup-simplify: Simplify 1 into 1 1539348207.343 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.343 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348207.343 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348207.344 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348207.344 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348207.345 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348207.345 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539348207.345 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539348207.345 * [misc]taylor: Taking taylor expansion of -1 in n 1539348207.345 * [misc]backup-simplify: Simplify -1 into -1 1539348207.345 * [misc]taylor: Taking taylor expansion of k in n 1539348207.345 * [misc]backup-simplify: Simplify k into k 1539348207.345 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539348207.345 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539348207.345 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539348207.345 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539348207.345 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1539348207.346 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1539348207.346 * [misc]taylor: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1539348207.346 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348207.346 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348207.346 * [misc]taylor: Taking taylor expansion of -2 in n 1539348207.346 * [misc]backup-simplify: Simplify -2 into -2 1539348207.346 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.346 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.346 * [misc]backup-simplify: Simplify PI into PI 1539348207.346 * [misc]taylor: Taking taylor expansion of n in n 1539348207.346 * [misc]backup-simplify: Simplify 0 into 0 1539348207.346 * [misc]backup-simplify: Simplify 1 into 1 1539348207.346 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.346 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348207.347 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.347 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348207.347 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1539348207.347 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1539348207.347 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1539348207.347 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1539348207.347 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1539348207.347 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348207.347 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348207.347 * [misc]taylor: Taking taylor expansion of k in n 1539348207.347 * [misc]backup-simplify: Simplify k into k 1539348207.347 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1539348207.347 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348207.347 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348207.347 * [misc]taylor: Taking taylor expansion of -2 in n 1539348207.347 * [misc]backup-simplify: Simplify -2 into -2 1539348207.347 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.347 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.347 * [misc]backup-simplify: Simplify PI into PI 1539348207.347 * [misc]taylor: Taking taylor expansion of n in n 1539348207.347 * [misc]backup-simplify: Simplify 0 into 0 1539348207.347 * [misc]backup-simplify: Simplify 1 into 1 1539348207.347 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.348 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348207.348 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348207.348 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348207.349 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348207.349 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348207.349 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539348207.349 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539348207.349 * [misc]taylor: Taking taylor expansion of -1 in n 1539348207.349 * [misc]backup-simplify: Simplify -1 into -1 1539348207.349 * [misc]taylor: Taking taylor expansion of k in n 1539348207.349 * [misc]backup-simplify: Simplify k into k 1539348207.349 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539348207.349 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539348207.349 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539348207.349 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539348207.350 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1539348207.350 * [misc]backup-simplify: Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) 1539348207.350 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 1539348207.350 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348207.350 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348207.350 * [misc]taylor: Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1539348207.351 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.351 * [misc]backup-simplify: Simplify PI into PI 1539348207.351 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1539348207.351 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1539348207.351 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1539348207.351 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348207.351 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348207.351 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1539348207.351 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539348207.351 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539348207.351 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539348207.351 * [misc]taylor: Taking taylor expansion of -2 in k 1539348207.351 * [misc]backup-simplify: Simplify -2 into -2 1539348207.351 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.351 * [misc]backup-simplify: Simplify PI into PI 1539348207.351 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348207.351 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348207.351 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348207.351 * [misc]taylor: Taking taylor expansion of n in k 1539348207.351 * [misc]backup-simplify: Simplify n into n 1539348207.351 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348207.351 * [misc]taylor: Taking taylor expansion of k in k 1539348207.351 * [misc]backup-simplify: Simplify 0 into 0 1539348207.351 * [misc]backup-simplify: Simplify 1 into 1 1539348207.351 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348207.352 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539348207.352 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1539348207.352 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1539348207.353 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348207.353 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539348207.353 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539348207.353 * [misc]taylor: Taking taylor expansion of -1 in k 1539348207.353 * [misc]backup-simplify: Simplify -1 into -1 1539348207.353 * [misc]taylor: Taking taylor expansion of k in k 1539348207.353 * [misc]backup-simplify: Simplify 0 into 0 1539348207.353 * [misc]backup-simplify: Simplify 1 into 1 1539348207.353 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539348207.353 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.353 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539348207.354 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1539348207.354 * [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))))) 1539348207.355 * [misc]backup-simplify: Simplify (/ PI (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1539348207.355 * [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))))) 1539348207.355 * [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))))) 1539348207.356 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348207.357 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348207.358 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348207.358 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348207.359 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348207.360 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539348207.360 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1539348207.361 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348207.361 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1539348207.362 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348207.362 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0 1539348207.364 * [misc]backup-simplify: Simplify (- (/ (* +nan.0 (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (+ (* (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into (- (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))) 1539348207.364 * [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 1539348207.364 * [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 1539348207.364 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348207.364 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348207.364 * [misc]taylor: Taking taylor expansion of (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1539348207.364 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1539348207.364 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.364 * [misc]backup-simplify: Simplify PI into PI 1539348207.364 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1539348207.364 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1539348207.364 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1539348207.364 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348207.364 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348207.364 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1539348207.364 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539348207.364 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539348207.364 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539348207.364 * [misc]taylor: Taking taylor expansion of -2 in k 1539348207.364 * [misc]backup-simplify: Simplify -2 into -2 1539348207.364 * [misc]taylor: Taking taylor expansion of PI in k 1539348207.364 * [misc]backup-simplify: Simplify PI into PI 1539348207.365 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348207.365 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348207.365 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348207.365 * [misc]taylor: Taking taylor expansion of n in k 1539348207.365 * [misc]backup-simplify: Simplify n into n 1539348207.365 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348207.365 * [misc]taylor: Taking taylor expansion of k in k 1539348207.365 * [misc]backup-simplify: Simplify 0 into 0 1539348207.365 * [misc]backup-simplify: Simplify 1 into 1 1539348207.365 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348207.365 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539348207.366 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1539348207.366 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1539348207.366 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348207.366 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539348207.366 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539348207.366 * [misc]taylor: Taking taylor expansion of -1 in k 1539348207.366 * [misc]backup-simplify: Simplify -1 into -1 1539348207.366 * [misc]taylor: Taking taylor expansion of k in k 1539348207.366 * [misc]backup-simplify: Simplify 0 into 0 1539348207.367 * [misc]backup-simplify: Simplify 1 into 1 1539348207.367 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539348207.367 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.367 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539348207.367 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348207.368 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0 1539348207.368 * [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))))) 1539348207.369 * [misc]backup-simplify: Simplify (/ (pow PI 2) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1539348207.369 * [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))))) 1539348207.370 * [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)))))) 1539348207.370 * [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)))))) 1539348207.370 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539348207.371 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539348207.372 * [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))))) 1539348207.373 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1539348207.374 * [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)))))) 1539348207.374 * [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)))))) 1539348207.376 * [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 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1539348207.376 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1539348207.376 * [misc]backup-simplify: Simplify (sqrt (* (* 2 n) PI)) into (* (sqrt 2) (sqrt (* n PI))) 1539348207.376 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1539348207.376 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539348207.376 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348207.376 * [misc]taylor: Taking taylor expansion of 2 in n 1539348207.376 * [misc]backup-simplify: Simplify 2 into 2 1539348207.377 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.377 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.377 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539348207.377 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348207.377 * [misc]taylor: Taking taylor expansion of n in n 1539348207.377 * [misc]backup-simplify: Simplify 0 into 0 1539348207.377 * [misc]backup-simplify: Simplify 1 into 1 1539348207.377 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.377 * [misc]backup-simplify: Simplify PI into PI 1539348207.377 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348207.378 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348207.378 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.379 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348207.379 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539348207.379 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348207.379 * [misc]taylor: Taking taylor expansion of 2 in n 1539348207.379 * [misc]backup-simplify: Simplify 2 into 2 1539348207.379 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.379 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.379 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539348207.379 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348207.379 * [misc]taylor: Taking taylor expansion of n in n 1539348207.379 * [misc]backup-simplify: Simplify 0 into 0 1539348207.379 * [misc]backup-simplify: Simplify 1 into 1 1539348207.379 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.379 * [misc]backup-simplify: Simplify PI into PI 1539348207.379 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348207.380 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348207.380 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.380 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348207.380 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348207.380 * [misc]backup-simplify: Simplify 0 into 0 1539348207.381 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348207.381 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348207.382 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348207.383 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348207.384 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348207.385 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539348207.386 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539348207.387 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348207.389 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1539348207.389 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348207.391 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1539348207.392 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1539348207.396 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow n 3)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow n 2)) (* (- (* +nan.0 (* (sqrt 2) PI))) n))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1539348207.396 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 n)) PI)) into (* (sqrt 2) (sqrt (/ PI n))) 1539348207.396 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1539348207.396 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1539348207.396 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348207.396 * [misc]taylor: Taking taylor expansion of 2 in n 1539348207.396 * [misc]backup-simplify: Simplify 2 into 2 1539348207.396 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.397 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.397 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1539348207.397 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.397 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.397 * [misc]backup-simplify: Simplify PI into PI 1539348207.397 * [misc]taylor: Taking taylor expansion of n in n 1539348207.397 * [misc]backup-simplify: Simplify 0 into 0 1539348207.397 * [misc]backup-simplify: Simplify 1 into 1 1539348207.397 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.397 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.398 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348207.398 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1539348207.398 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348207.398 * [misc]taylor: Taking taylor expansion of 2 in n 1539348207.398 * [misc]backup-simplify: Simplify 2 into 2 1539348207.398 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348207.398 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348207.398 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1539348207.398 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.398 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.398 * [misc]backup-simplify: Simplify PI into PI 1539348207.398 * [misc]taylor: Taking taylor expansion of n in n 1539348207.398 * [misc]backup-simplify: Simplify 0 into 0 1539348207.398 * [misc]backup-simplify: Simplify 1 into 1 1539348207.399 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.399 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.399 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348207.400 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348207.400 * [misc]backup-simplify: Simplify 0 into 0 1539348207.401 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348207.402 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348207.403 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348207.404 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348207.405 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348207.408 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539348207.409 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539348207.411 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.413 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1539348207.414 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348207.417 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1539348207.418 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1539348207.422 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow (/ 1 n) 2)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (/ 1 n)) (- (* +nan.0 (* (sqrt 2) PI))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1539348207.423 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 (- n))) PI)) into (sqrt (* -2 (/ PI n))) 1539348207.423 * [misc]approximate: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1539348207.423 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348207.423 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348207.423 * [misc]taylor: Taking taylor expansion of -2 in n 1539348207.423 * [misc]backup-simplify: Simplify -2 into -2 1539348207.423 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.423 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.423 * [misc]backup-simplify: Simplify PI into PI 1539348207.423 * [misc]taylor: Taking taylor expansion of n in n 1539348207.423 * [misc]backup-simplify: Simplify 0 into 0 1539348207.423 * [misc]backup-simplify: Simplify 1 into 1 1539348207.423 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.424 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348207.424 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.424 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348207.424 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348207.425 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348207.425 * [misc]taylor: Taking taylor expansion of -2 in n 1539348207.425 * [misc]backup-simplify: Simplify -2 into -2 1539348207.425 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348207.425 * [misc]taylor: Taking taylor expansion of PI in n 1539348207.425 * [misc]backup-simplify: Simplify PI into PI 1539348207.425 * [misc]taylor: Taking taylor expansion of n in n 1539348207.425 * [misc]backup-simplify: Simplify 0 into 0 1539348207.425 * [misc]backup-simplify: Simplify 1 into 1 1539348207.425 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348207.425 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348207.425 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348207.426 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348207.426 * [misc]backup-simplify: Simplify 0 into 0 1539348207.426 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1539348207.428 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348207.428 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348207.430 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348207.430 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1539348207.431 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348207.432 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348207.435 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1539348207.436 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1539348207.437 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow (/ 1 (- n)) 2)) (+ (* (* +nan.0 (pow PI 2)) (/ 1 (- n))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1539348207.438 * * * [misc]progress: simplifying candidates 1539348207.438 * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # 1539348207.438 * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # 1539348207.439 * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # 1539348207.439 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (+ (log (sqrt k)) (* (log (* PI (* n 2))) (/ k 2)))) 1539348207.440 * * [misc]simplify: iters left: 6 (17 enodes) 1539348207.445 * * [misc]simplify: iters left: 5 (33 enodes) 1539348207.454 * * [misc]simplify: iters left: 4 (62 enodes) 1539348207.465 * * [misc]simplify: iters left: 3 (147 enodes) 1539348207.504 * * [misc]simplify: iters left: 2 (381 enodes) 1539348207.685 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k)))) 1539348207.685 * [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)))))) 1539348207.685 * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # 1539348207.685 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (+ (log (sqrt k)) (* (log (* PI (* n 2))) (/ k 2)))) 1539348207.686 * * [misc]simplify: iters left: 6 (17 enodes) 1539348207.688 * * [misc]simplify: iters left: 5 (33 enodes) 1539348207.696 * * [misc]simplify: iters left: 4 (62 enodes) 1539348207.706 * * [misc]simplify: iters left: 3 (147 enodes) 1539348207.736 * * [misc]simplify: iters left: 2 (381 enodes) 1539348207.931 * [exit]simplify: Simplified to (- (log (sqrt (* (* PI 2) n))) (fma (/ k 2) (log (* (* PI 2) n)) (log (sqrt k)))) 1539348207.931 * [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)))))) 1539348207.931 * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # 1539348207.932 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (+ (log (sqrt k)) (log (pow (* PI (* n 2)) (/ k 2))))) 1539348207.932 * * [misc]simplify: iters left: 6 (17 enodes) 1539348207.937 * * [misc]simplify: iters left: 5 (29 enodes) 1539348207.946 * * [misc]simplify: iters left: 4 (55 enodes) 1539348207.963 * * [misc]simplify: iters left: 3 (121 enodes) 1539348208.025 * * [misc]simplify: iters left: 2 (335 enodes) 1539348208.131 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt k)))) 1539348208.131 * [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)))))) 1539348208.131 * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # 1539348208.132 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.132 * * [misc]simplify: iters left: 6 (16 enodes) 1539348208.134 * * [misc]simplify: iters left: 5 (27 enodes) 1539348208.138 * * [misc]simplify: iters left: 4 (40 enodes) 1539348208.144 * * [misc]simplify: iters left: 3 (71 enodes) 1539348208.155 * * [misc]simplify: iters left: 2 (194 enodes) 1539348208.276 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (fma (/ k 2) (log (* (* 2 n) PI)) (log (sqrt k)))) 1539348208.276 * [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)))))) 1539348208.276 * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # 1539348208.276 * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # 1539348208.277 * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # 1539348208.277 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.277 * * [misc]simplify: iters left: 6 (20 enodes) 1539348208.284 * * [misc]simplify: iters left: 5 (39 enodes) 1539348208.301 * * [misc]simplify: iters left: 4 (167 enodes) 1539348208.414 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (* (/ (sqrt k) (* 2 n)) (/ k PI))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3)) 1539348208.415 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (sqrt (* (* 2 n) PI)) (* (/ (sqrt k) (* 2 n)) (/ k PI))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3)))) 1539348208.415 * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # 1539348208.415 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.415 * * [misc]simplify: iters left: 6 (18 enodes) 1539348208.418 * * [misc]simplify: iters left: 5 (38 enodes) 1539348208.426 * * [misc]simplify: iters left: 4 (167 enodes) 1539348208.567 * [exit]simplify: Simplified to (* (/ (sqrt (* (* 2 n) PI)) (* (pow (* (* 2 n) PI) (/ k 2)) k)) (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))) 1539348208.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (sqrt (* (* 2 n) PI)) (* (pow (* (* 2 n) PI) (/ k 2)) k)) (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))))) 1539348208.567 * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # 1539348208.567 * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # 1539348208.567 * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # 1539348208.567 * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # 1539348208.567 * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # 1539348208.568 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) 1539348208.568 * * [misc]simplify: iters left: 6 (11 enodes) 1539348208.569 * * [misc]simplify: iters left: 5 (17 enodes) 1539348208.572 * * [misc]simplify: iters left: 4 (25 enodes) 1539348208.575 * * [misc]simplify: iters left: 3 (27 enodes) 1539348208.578 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) 1539348208.578 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.579 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1539348208.579 * * [misc]simplify: iters left: 6 (13 enodes) 1539348208.581 * * [misc]simplify: iters left: 5 (18 enodes) 1539348208.583 * * [misc]simplify: iters left: 4 (22 enodes) 1539348208.586 * * [misc]simplify: iters left: 3 (24 enodes) 1539348208.589 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1539348208.589 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1539348208.589 * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # 1539348208.589 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt k)) 1539348208.589 * * [misc]simplify: iters left: 5 (7 enodes) 1539348208.590 * * [misc]simplify: iters left: 4 (8 enodes) 1539348208.591 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1539348208.592 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.592 * [enter]simplify: Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) 1539348208.592 * * [misc]simplify: iters left: 6 (10 enodes) 1539348208.593 * * [misc]simplify: iters left: 5 (14 enodes) 1539348208.595 * * [misc]simplify: iters left: 4 (20 enodes) 1539348208.598 * * [misc]simplify: iters left: 3 (21 enodes) 1539348208.600 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))) 1539348208.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))) 1539348208.601 * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # 1539348208.601 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) 1539348208.601 * * [misc]simplify: iters left: 6 (10 enodes) 1539348208.602 * * [misc]simplify: iters left: 5 (14 enodes) 1539348208.604 * * [misc]simplify: iters left: 4 (20 enodes) 1539348208.607 * * [misc]simplify: iters left: 3 (22 enodes) 1539348208.609 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1539348208.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.609 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1539348208.610 * * [misc]simplify: iters left: 6 (13 enodes) 1539348208.611 * * [misc]simplify: iters left: 5 (18 enodes) 1539348208.614 * * [misc]simplify: iters left: 4 (22 enodes) 1539348208.617 * * [misc]simplify: iters left: 3 (24 enodes) 1539348208.619 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1539348208.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1539348208.620 * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # 1539348208.620 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1539348208.620 * * [misc]simplify: iters left: 3 (4 enodes) 1539348208.620 * * [misc]simplify: iters left: 2 (6 enodes) 1539348208.621 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1539348208.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.621 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) 1539348208.621 * * [misc]simplify: iters left: 6 (12 enodes) 1539348208.623 * * [misc]simplify: iters left: 5 (17 enodes) 1539348208.626 * * [misc]simplify: iters left: 4 (21 enodes) 1539348208.628 * * [misc]simplify: iters left: 3 (22 enodes) 1539348208.631 * [exit]simplify: Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) 1539348208.631 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))))) 1539348208.631 * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # 1539348208.631 * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # 1539348208.631 * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # 1539348208.631 * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # 1539348208.631 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1539348208.631 * * [misc]simplify: iters left: 5 (8 enodes) 1539348208.633 * * [misc]simplify: iters left: 4 (12 enodes) 1539348208.634 * * [misc]simplify: iters left: 3 (18 enodes) 1539348208.637 * * [misc]simplify: iters left: 2 (20 enodes) 1539348208.639 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1539348208.639 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* 2 n) PI) (/ k 2)))) 1539348208.639 * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # 1539348208.639 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348208.639 * * [misc]simplify: iters left: 6 (8 enodes) 1539348208.640 * * [misc]simplify: iters left: 5 (12 enodes) 1539348208.642 * * [misc]simplify: iters left: 4 (18 enodes) 1539348208.646 * * [misc]simplify: iters left: 3 (20 enodes) 1539348208.651 * [exit]simplify: Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) 1539348208.651 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))))) 1539348208.651 * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # 1539348208.651 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1539348208.651 * * [misc]simplify: iters left: 3 (4 enodes) 1539348208.653 * * [misc]simplify: iters left: 2 (5 enodes) 1539348208.654 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1539348208.654 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* 2 n)) (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt PI)))) 1539348208.654 * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # 1539348208.654 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1539348208.654 * * [misc]simplify: iters left: 6 (7 enodes) 1539348208.656 * * [misc]simplify: iters left: 5 (11 enodes) 1539348208.660 * * [misc]simplify: iters left: 4 (17 enodes) 1539348208.664 * * [misc]simplify: iters left: 3 (19 enodes) 1539348208.669 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1539348208.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))))) 1539348208.669 * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # 1539348208.669 * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # 1539348208.669 * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # 1539348208.669 * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # 1539348208.669 * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # 1539348208.669 * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # 1539348208.669 * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # 1539348208.669 * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # 1539348208.669 * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # 1539348208.670 * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # 1539348208.670 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1539348208.670 * * [misc]simplify: iters left: 3 (4 enodes) 1539348208.671 * * [misc]simplify: iters left: 2 (5 enodes) 1539348208.672 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1539348208.672 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.672 * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # 1539348208.672 * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # 1539348208.672 * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # 1539348208.673 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348208.673 * * [misc]simplify: iters left: 4 (5 enodes) 1539348208.674 * * [misc]simplify: iters left: 3 (9 enodes) 1539348208.677 * * [misc]simplify: iters left: 2 (15 enodes) 1539348208.681 * * [misc]simplify: iters left: 1 (17 enodes) 1539348208.685 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348208.685 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* PI n) 2) (/ k 2))))) 1539348208.685 * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # 1539348208.685 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348208.685 * * [misc]simplify: iters left: 4 (5 enodes) 1539348208.687 * * [misc]simplify: iters left: 3 (9 enodes) 1539348208.689 * * [misc]simplify: iters left: 2 (15 enodes) 1539348208.693 * * [misc]simplify: iters left: 1 (17 enodes) 1539348208.698 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348208.698 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* PI n) 2) (/ k 2))))) 1539348208.698 * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # 1539348208.698 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348208.698 * * [misc]simplify: iters left: 4 (5 enodes) 1539348208.700 * * [misc]simplify: iters left: 3 (9 enodes) 1539348208.702 * * [misc]simplify: iters left: 2 (15 enodes) 1539348208.706 * * [misc]simplify: iters left: 1 (17 enodes) 1539348208.710 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348208.710 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* PI n) 2) (/ k 2))))) 1539348208.710 * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # 1539348208.711 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348208.711 * * [misc]simplify: iters left: 4 (5 enodes) 1539348208.712 * * [misc]simplify: iters left: 3 (9 enodes) 1539348208.715 * * [misc]simplify: iters left: 2 (15 enodes) 1539348208.719 * * [misc]simplify: iters left: 1 (17 enodes) 1539348208.723 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348208.723 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.723 * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # 1539348208.723 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348208.723 * * [misc]simplify: iters left: 4 (5 enodes) 1539348208.725 * * [misc]simplify: iters left: 3 (9 enodes) 1539348208.727 * * [misc]simplify: iters left: 2 (15 enodes) 1539348208.731 * * [misc]simplify: iters left: 1 (17 enodes) 1539348208.735 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348208.735 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.735 * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # 1539348208.736 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348208.736 * * [misc]simplify: iters left: 4 (5 enodes) 1539348208.737 * * [misc]simplify: iters left: 3 (9 enodes) 1539348208.740 * * [misc]simplify: iters left: 2 (15 enodes) 1539348208.744 * * [misc]simplify: iters left: 1 (17 enodes) 1539348208.748 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348208.748 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.748 * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # 1539348208.749 * [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)))))))))))))) 1539348208.749 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539348208.749 * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # 1539348208.750 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))) 1539348208.750 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539348208.750 * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # 1539348208.750 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))) 1539348208.750 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539348208.750 * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # 1539348208.750 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1539348208.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.750 * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # 1539348208.751 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1539348208.751 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.751 * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # 1539348208.751 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1539348208.751 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539348208.751 * * * [misc]progress: adding candidates to table 1539348209.650 * * [misc]progress: iteration 3 / 4 1539348209.650 * * * [misc]progress: picking best candidate 1539348209.682 * * * * [misc]pick: Picked # 1539348209.682 * * * [misc]progress: localizing error 1539348209.689 * * * [misc]progress: generating rewritten candidates 1539348209.689 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1539348209.695 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1539348209.699 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1539348209.730 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1539348209.732 * * * [misc]progress: generating series expansions 1539348209.732 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 1) 1539348209.733 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1539348209.733 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1539348209.733 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348209.733 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.733 * [misc]backup-simplify: Simplify 2 into 2 1539348209.733 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.733 * [misc]taylor: Taking taylor expansion of n in n 1539348209.733 * [misc]backup-simplify: Simplify 0 into 0 1539348209.733 * [misc]backup-simplify: Simplify 1 into 1 1539348209.733 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.733 * [misc]backup-simplify: Simplify PI into PI 1539348209.733 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348209.733 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.733 * [misc]backup-simplify: Simplify 2 into 2 1539348209.733 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.733 * [misc]taylor: Taking taylor expansion of n in n 1539348209.733 * [misc]backup-simplify: Simplify 0 into 0 1539348209.733 * [misc]backup-simplify: Simplify 1 into 1 1539348209.733 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.733 * [misc]backup-simplify: Simplify PI into PI 1539348209.734 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.734 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348209.734 * [misc]backup-simplify: Simplify 0 into 0 1539348209.735 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.735 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348209.736 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348209.737 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348209.738 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348209.738 * [misc]backup-simplify: Simplify 0 into 0 1539348209.743 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348209.744 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348209.744 * [misc]backup-simplify: Simplify 0 into 0 1539348209.746 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348209.747 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539348209.747 * [misc]backup-simplify: Simplify 0 into 0 1539348209.748 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348209.750 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1539348209.750 * [misc]backup-simplify: Simplify 0 into 0 1539348209.752 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348209.754 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1539348209.754 * [misc]backup-simplify: Simplify 0 into 0 1539348209.756 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1539348209.758 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1539348209.758 * [misc]backup-simplify: Simplify 0 into 0 1539348209.759 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1539348209.759 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1539348209.759 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1539348209.759 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348209.759 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.759 * [misc]backup-simplify: Simplify 2 into 2 1539348209.759 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.759 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.759 * [misc]backup-simplify: Simplify PI into PI 1539348209.759 * [misc]taylor: Taking taylor expansion of n in n 1539348209.759 * [misc]backup-simplify: Simplify 0 into 0 1539348209.759 * [misc]backup-simplify: Simplify 1 into 1 1539348209.759 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.759 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348209.759 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.759 * [misc]backup-simplify: Simplify 2 into 2 1539348209.759 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.759 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.759 * [misc]backup-simplify: Simplify PI into PI 1539348209.759 * [misc]taylor: Taking taylor expansion of n in n 1539348209.759 * [misc]backup-simplify: Simplify 0 into 0 1539348209.759 * [misc]backup-simplify: Simplify 1 into 1 1539348209.759 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.760 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348209.760 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348209.760 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348209.761 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348209.761 * [misc]backup-simplify: Simplify 0 into 0 1539348209.762 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.762 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348209.763 * [misc]backup-simplify: Simplify 0 into 0 1539348209.764 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.764 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348209.764 * [misc]backup-simplify: Simplify 0 into 0 1539348209.766 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.767 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348209.767 * [misc]backup-simplify: Simplify 0 into 0 1539348209.768 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.769 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348209.770 * [misc]backup-simplify: Simplify 0 into 0 1539348209.771 * [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 1539348209.773 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348209.773 * [misc]backup-simplify: Simplify 0 into 0 1539348209.773 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1539348209.773 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1539348209.773 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1539348209.773 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348209.773 * [misc]taylor: Taking taylor expansion of -2 in n 1539348209.773 * [misc]backup-simplify: Simplify -2 into -2 1539348209.773 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.773 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.773 * [misc]backup-simplify: Simplify PI into PI 1539348209.773 * [misc]taylor: Taking taylor expansion of n in n 1539348209.773 * [misc]backup-simplify: Simplify 0 into 0 1539348209.773 * [misc]backup-simplify: Simplify 1 into 1 1539348209.774 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.774 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348209.774 * [misc]taylor: Taking taylor expansion of -2 in n 1539348209.774 * [misc]backup-simplify: Simplify -2 into -2 1539348209.774 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.774 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.774 * [misc]backup-simplify: Simplify PI into PI 1539348209.774 * [misc]taylor: Taking taylor expansion of n in n 1539348209.774 * [misc]backup-simplify: Simplify 0 into 0 1539348209.774 * [misc]backup-simplify: Simplify 1 into 1 1539348209.774 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.774 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348209.774 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348209.775 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348209.775 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348209.775 * [misc]backup-simplify: Simplify 0 into 0 1539348209.776 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.777 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348209.777 * [misc]backup-simplify: Simplify 0 into 0 1539348209.778 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.778 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348209.778 * [misc]backup-simplify: Simplify 0 into 0 1539348209.780 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.781 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348209.781 * [misc]backup-simplify: Simplify 0 into 0 1539348209.782 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.784 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348209.784 * [misc]backup-simplify: Simplify 0 into 0 1539348209.786 * [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 1539348209.790 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348209.790 * [misc]backup-simplify: Simplify 0 into 0 1539348209.790 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1539348209.790 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1539348209.790 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1539348209.791 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1539348209.791 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348209.791 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.791 * [misc]backup-simplify: Simplify 2 into 2 1539348209.791 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.791 * [misc]taylor: Taking taylor expansion of n in n 1539348209.791 * [misc]backup-simplify: Simplify 0 into 0 1539348209.791 * [misc]backup-simplify: Simplify 1 into 1 1539348209.791 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.791 * [misc]backup-simplify: Simplify PI into PI 1539348209.791 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348209.791 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.791 * [misc]backup-simplify: Simplify 2 into 2 1539348209.791 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.791 * [misc]taylor: Taking taylor expansion of n in n 1539348209.791 * [misc]backup-simplify: Simplify 0 into 0 1539348209.791 * [misc]backup-simplify: Simplify 1 into 1 1539348209.791 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.791 * [misc]backup-simplify: Simplify PI into PI 1539348209.791 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.792 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348209.792 * [misc]backup-simplify: Simplify 0 into 0 1539348209.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.793 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348209.794 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348209.795 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348209.796 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348209.796 * [misc]backup-simplify: Simplify 0 into 0 1539348209.797 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348209.799 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348209.799 * [misc]backup-simplify: Simplify 0 into 0 1539348209.800 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348209.802 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539348209.802 * [misc]backup-simplify: Simplify 0 into 0 1539348209.805 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348209.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1539348209.807 * [misc]backup-simplify: Simplify 0 into 0 1539348209.810 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348209.813 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1539348209.813 * [misc]backup-simplify: Simplify 0 into 0 1539348209.815 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1539348209.817 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1539348209.817 * [misc]backup-simplify: Simplify 0 into 0 1539348209.818 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1539348209.818 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1539348209.818 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1539348209.818 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348209.818 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.818 * [misc]backup-simplify: Simplify 2 into 2 1539348209.818 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.818 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.818 * [misc]backup-simplify: Simplify PI into PI 1539348209.818 * [misc]taylor: Taking taylor expansion of n in n 1539348209.818 * [misc]backup-simplify: Simplify 0 into 0 1539348209.818 * [misc]backup-simplify: Simplify 1 into 1 1539348209.818 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.818 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348209.818 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.818 * [misc]backup-simplify: Simplify 2 into 2 1539348209.818 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.818 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.818 * [misc]backup-simplify: Simplify PI into PI 1539348209.818 * [misc]taylor: Taking taylor expansion of n in n 1539348209.818 * [misc]backup-simplify: Simplify 0 into 0 1539348209.818 * [misc]backup-simplify: Simplify 1 into 1 1539348209.818 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.819 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348209.819 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348209.820 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348209.820 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348209.820 * [misc]backup-simplify: Simplify 0 into 0 1539348209.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.821 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348209.821 * [misc]backup-simplify: Simplify 0 into 0 1539348209.822 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.823 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348209.823 * [misc]backup-simplify: Simplify 0 into 0 1539348209.825 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348209.826 * [misc]backup-simplify: Simplify 0 into 0 1539348209.827 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.828 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348209.829 * [misc]backup-simplify: Simplify 0 into 0 1539348209.830 * [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 1539348209.832 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348209.832 * [misc]backup-simplify: Simplify 0 into 0 1539348209.832 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1539348209.832 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1539348209.832 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1539348209.832 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348209.832 * [misc]taylor: Taking taylor expansion of -2 in n 1539348209.832 * [misc]backup-simplify: Simplify -2 into -2 1539348209.832 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.832 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.832 * [misc]backup-simplify: Simplify PI into PI 1539348209.832 * [misc]taylor: Taking taylor expansion of n in n 1539348209.832 * [misc]backup-simplify: Simplify 0 into 0 1539348209.832 * [misc]backup-simplify: Simplify 1 into 1 1539348209.832 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.833 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348209.833 * [misc]taylor: Taking taylor expansion of -2 in n 1539348209.833 * [misc]backup-simplify: Simplify -2 into -2 1539348209.833 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.833 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.833 * [misc]backup-simplify: Simplify PI into PI 1539348209.833 * [misc]taylor: Taking taylor expansion of n in n 1539348209.833 * [misc]backup-simplify: Simplify 0 into 0 1539348209.833 * [misc]backup-simplify: Simplify 1 into 1 1539348209.833 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.833 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348209.833 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348209.834 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348209.834 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348209.834 * [misc]backup-simplify: Simplify 0 into 0 1539348209.835 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.836 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348209.836 * [misc]backup-simplify: Simplify 0 into 0 1539348209.837 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.838 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348209.838 * [misc]backup-simplify: Simplify 0 into 0 1539348209.839 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.840 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348209.840 * [misc]backup-simplify: Simplify 0 into 0 1539348209.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348209.845 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348209.845 * [misc]backup-simplify: Simplify 0 into 0 1539348209.847 * [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 1539348209.851 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348209.851 * [misc]backup-simplify: Simplify 0 into 0 1539348209.851 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1539348209.851 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1539348209.851 * [misc]backup-simplify: Simplify (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI))) into (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) 1539348209.852 * [misc]approximate: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) in (k n) around 0 1539348209.852 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) in n 1539348209.852 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in n 1539348209.852 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1539348209.852 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1539348209.852 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1539348209.852 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348209.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348209.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348209.852 * [misc]taylor: Taking taylor expansion of k in n 1539348209.852 * [misc]backup-simplify: Simplify k into k 1539348209.852 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348209.852 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348209.852 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.852 * [misc]backup-simplify: Simplify 2 into 2 1539348209.852 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.852 * [misc]taylor: Taking taylor expansion of n in n 1539348209.852 * [misc]backup-simplify: Simplify 0 into 0 1539348209.852 * [misc]backup-simplify: Simplify 1 into 1 1539348209.852 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.852 * [misc]backup-simplify: Simplify PI into PI 1539348209.853 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.853 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348209.853 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.854 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348209.855 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348209.855 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348209.855 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348209.856 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1539348209.857 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1539348209.857 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348209.857 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.857 * [misc]backup-simplify: Simplify 2 into 2 1539348209.857 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.857 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.858 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) into (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) 1539348209.858 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in n 1539348209.858 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in n 1539348209.858 * [misc]taylor: Taking taylor expansion of k in n 1539348209.858 * [misc]backup-simplify: Simplify k into k 1539348209.858 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.858 * [misc]taylor: Taking taylor expansion of n in n 1539348209.858 * [misc]backup-simplify: Simplify 0 into 0 1539348209.858 * [misc]backup-simplify: Simplify 1 into 1 1539348209.858 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.858 * [misc]backup-simplify: Simplify PI into PI 1539348209.858 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.859 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.859 * [misc]backup-simplify: Simplify (/ k PI) into (/ k PI) 1539348209.859 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348209.859 * [misc]backup-simplify: Simplify (/ (/ k PI) (* 2 (sqrt 0))) into (* +nan.0 (/ k PI)) 1539348209.859 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) in k 1539348209.859 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in k 1539348209.859 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1539348209.860 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1539348209.860 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1539348209.860 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348209.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348209.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348209.860 * [misc]taylor: Taking taylor expansion of k in k 1539348209.860 * [misc]backup-simplify: Simplify 0 into 0 1539348209.860 * [misc]backup-simplify: Simplify 1 into 1 1539348209.860 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539348209.860 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539348209.860 * [misc]taylor: Taking taylor expansion of 2 in k 1539348209.860 * [misc]backup-simplify: Simplify 2 into 2 1539348209.860 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348209.860 * [misc]taylor: Taking taylor expansion of n in k 1539348209.860 * [misc]backup-simplify: Simplify n into n 1539348209.860 * [misc]taylor: Taking taylor expansion of PI in k 1539348209.860 * [misc]backup-simplify: Simplify PI into PI 1539348209.860 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348209.860 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539348209.860 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539348209.860 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348209.860 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1539348209.861 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539348209.861 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1539348209.862 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1539348209.862 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539348209.862 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1539348209.862 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348209.862 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348209.862 * [misc]taylor: Taking taylor expansion of 2 in k 1539348209.862 * [misc]backup-simplify: Simplify 2 into 2 1539348209.863 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.863 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.863 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1539348209.863 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in k 1539348209.863 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in k 1539348209.863 * [misc]taylor: Taking taylor expansion of k in k 1539348209.863 * [misc]backup-simplify: Simplify 0 into 0 1539348209.863 * [misc]backup-simplify: Simplify 1 into 1 1539348209.863 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348209.863 * [misc]taylor: Taking taylor expansion of n in k 1539348209.863 * [misc]backup-simplify: Simplify n into n 1539348209.863 * [misc]taylor: Taking taylor expansion of PI in k 1539348209.863 * [misc]backup-simplify: Simplify PI into PI 1539348209.864 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348209.864 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1539348209.864 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348209.864 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1539348209.864 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) in k 1539348209.864 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in k 1539348209.864 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1539348209.864 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1539348209.864 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1539348209.864 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348209.864 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348209.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348209.864 * [misc]taylor: Taking taylor expansion of k in k 1539348209.864 * [misc]backup-simplify: Simplify 0 into 0 1539348209.864 * [misc]backup-simplify: Simplify 1 into 1 1539348209.864 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539348209.864 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539348209.864 * [misc]taylor: Taking taylor expansion of 2 in k 1539348209.864 * [misc]backup-simplify: Simplify 2 into 2 1539348209.865 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348209.865 * [misc]taylor: Taking taylor expansion of n in k 1539348209.865 * [misc]backup-simplify: Simplify n into n 1539348209.865 * [misc]taylor: Taking taylor expansion of PI in k 1539348209.865 * [misc]backup-simplify: Simplify PI into PI 1539348209.865 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348209.865 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539348209.865 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539348209.865 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348209.865 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1539348209.865 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539348209.866 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1539348209.867 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1539348209.867 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539348209.867 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1539348209.867 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348209.867 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348209.867 * [misc]taylor: Taking taylor expansion of 2 in k 1539348209.867 * [misc]backup-simplify: Simplify 2 into 2 1539348209.867 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.868 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.868 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1539348209.868 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in k 1539348209.868 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in k 1539348209.868 * [misc]taylor: Taking taylor expansion of k in k 1539348209.868 * [misc]backup-simplify: Simplify 0 into 0 1539348209.868 * [misc]backup-simplify: Simplify 1 into 1 1539348209.868 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348209.868 * [misc]taylor: Taking taylor expansion of n in k 1539348209.868 * [misc]backup-simplify: Simplify n into n 1539348209.868 * [misc]taylor: Taking taylor expansion of PI in k 1539348209.868 * [misc]backup-simplify: Simplify PI into PI 1539348209.868 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348209.868 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1539348209.868 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348209.869 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1539348209.869 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1539348209.869 * [misc]taylor: Taking taylor expansion of 0 in n 1539348209.869 * [misc]backup-simplify: Simplify 0 into 0 1539348209.869 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1)))) into (* 1/2 (log (* 2 (* n PI)))) 1539348209.870 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (log (* 2 (* n PI)))) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) 1539348209.871 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* n PI))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) 1539348209.871 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) in n 1539348209.871 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* n PI)))) in n 1539348209.871 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348209.871 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348209.871 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* n PI))) in n 1539348209.871 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1539348209.871 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348209.871 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.871 * [misc]backup-simplify: Simplify 2 into 2 1539348209.871 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.871 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.871 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.871 * [misc]taylor: Taking taylor expansion of n in n 1539348209.872 * [misc]backup-simplify: Simplify 0 into 0 1539348209.872 * [misc]backup-simplify: Simplify 1 into 1 1539348209.872 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.872 * [misc]backup-simplify: Simplify PI into PI 1539348209.872 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.872 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348209.873 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.874 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1539348209.874 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) 1539348209.875 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) PI))) into (/ +nan.0 (* (sqrt 2) PI)) 1539348209.876 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539348209.876 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539348209.877 * [misc]backup-simplify: Simplify 0 into 0 1539348209.877 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539348209.877 * [misc]backup-simplify: Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))))) into 0 1539348209.877 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow n 2) (pow PI 2))) 1539348209.878 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1539348209.878 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1539348209.879 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1539348209.879 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539348209.879 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1539348209.880 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1539348209.880 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348209.881 * [misc]backup-simplify: Simplify (- (/ (* 1/8 (pow (log (* 2 (* n PI))) 2)) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ 0 (sqrt 2))))) into (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) 1539348209.882 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) 1539348209.882 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) in n 1539348209.882 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))))) in n 1539348209.882 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1539348209.882 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348209.882 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348209.882 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1539348209.882 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1539348209.882 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348209.882 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.882 * [misc]backup-simplify: Simplify 2 into 2 1539348209.882 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.882 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.882 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1539348209.882 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1539348209.883 * [misc]taylor: Taking taylor expansion of n in n 1539348209.883 * [misc]backup-simplify: Simplify 0 into 0 1539348209.883 * [misc]backup-simplify: Simplify 1 into 1 1539348209.883 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1539348209.883 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.883 * [misc]backup-simplify: Simplify PI into PI 1539348209.883 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348209.883 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348209.883 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1539348209.884 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1539348209.884 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 2))) into (/ 1 (* (sqrt 2) (pow PI 2))) 1539348209.884 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))) in n 1539348209.884 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))) in n 1539348209.884 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348209.884 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348209.884 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))) in n 1539348209.884 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348209.884 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348209.884 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.884 * [misc]backup-simplify: Simplify 2 into 2 1539348209.884 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.884 * [misc]taylor: Taking taylor expansion of n in n 1539348209.884 * [misc]backup-simplify: Simplify 0 into 0 1539348209.884 * [misc]backup-simplify: Simplify 1 into 1 1539348209.884 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.884 * [misc]backup-simplify: Simplify PI into PI 1539348209.885 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.885 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348209.885 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.885 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348209.886 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348209.886 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1539348209.886 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348209.886 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.886 * [misc]backup-simplify: Simplify 2 into 2 1539348209.886 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.886 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.886 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.886 * [misc]taylor: Taking taylor expansion of n in n 1539348209.886 * [misc]backup-simplify: Simplify 0 into 0 1539348209.886 * [misc]backup-simplify: Simplify 1 into 1 1539348209.886 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.886 * [misc]backup-simplify: Simplify PI into PI 1539348209.887 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348209.887 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.887 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348209.887 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.888 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1539348209.888 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348209.889 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) 1539348209.889 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348209.889 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348209.890 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1539348209.890 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1539348209.892 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1539348209.893 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 2))))) into 0 1539348209.894 * [misc]backup-simplify: Simplify (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) into (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) 1539348209.895 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348209.896 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348209.897 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348209.899 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348209.899 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348209.900 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348209.901 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1539348209.902 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1539348209.903 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 1539348209.903 * [misc]backup-simplify: Simplify (- 0) into 0 1539348209.903 * [misc]backup-simplify: Simplify 0 into 0 1539348209.903 * [misc]backup-simplify: Simplify 0 into 0 1539348209.904 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1539348209.904 * [misc]backup-simplify: Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))) (* 0 (/ 0 (* n PI))))) into 0 1539348209.905 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 (* n PI)) (/ +nan.0 (* (pow n 2) (pow PI 2))))))) (* 2 0)) into (/ +nan.0 (* (pow n 3) (pow PI 3))) 1539348209.906 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348209.906 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1539348209.909 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1539348209.909 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539348209.910 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1539348209.911 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 3) 6)) (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/48 (pow (log (* 2 (* n PI))) 3)) 1539348209.912 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348209.913 * [misc]backup-simplify: Simplify (- (/ (* 1/48 (pow (log (* 2 (* n PI))) 3)) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ 0 (sqrt 2))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ 0 (sqrt 2))))) into (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2))) 1539348209.916 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2))) 0)))) into (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))) 1539348209.916 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))) in n 1539348209.916 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) in n 1539348209.916 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) in n 1539348209.916 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348209.916 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348209.916 * [misc]taylor: Taking taylor expansion of (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))) in n 1539348209.916 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1539348209.916 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348209.916 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348209.916 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.916 * [misc]backup-simplify: Simplify 2 into 2 1539348209.916 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.916 * [misc]taylor: Taking taylor expansion of n in n 1539348209.916 * [misc]backup-simplify: Simplify 0 into 0 1539348209.916 * [misc]backup-simplify: Simplify 1 into 1 1539348209.916 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.916 * [misc]backup-simplify: Simplify PI into PI 1539348209.917 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.917 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348209.917 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.918 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348209.918 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348209.919 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348209.919 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1539348209.919 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348209.919 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.919 * [misc]backup-simplify: Simplify 2 into 2 1539348209.919 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.919 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.920 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.920 * [misc]taylor: Taking taylor expansion of n in n 1539348209.920 * [misc]backup-simplify: Simplify 0 into 0 1539348209.920 * [misc]backup-simplify: Simplify 1 into 1 1539348209.920 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.920 * [misc]backup-simplify: Simplify PI into PI 1539348209.920 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348209.921 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348209.922 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1539348209.922 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.922 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348209.923 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.924 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1539348209.925 * [misc]backup-simplify: Simplify (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) into (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) 1539348209.925 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))) in n 1539348209.925 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) in n 1539348209.925 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) in n 1539348209.925 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348209.925 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348209.925 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n 1539348209.925 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n 1539348209.925 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348209.925 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.925 * [misc]backup-simplify: Simplify 2 into 2 1539348209.925 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.925 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1539348209.925 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1539348209.925 * [misc]taylor: Taking taylor expansion of n in n 1539348209.925 * [misc]backup-simplify: Simplify 0 into 0 1539348209.926 * [misc]backup-simplify: Simplify 1 into 1 1539348209.926 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1539348209.926 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.926 * [misc]backup-simplify: Simplify PI into PI 1539348209.926 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348209.926 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348209.926 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348209.927 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1539348209.927 * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) 1539348209.928 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1539348209.929 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 3))) into (/ 1 (* (sqrt 2) (pow PI 3))) 1539348209.929 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))) in n 1539348209.929 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1539348209.929 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348209.929 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348209.929 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1539348209.929 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348209.929 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348209.929 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.929 * [misc]backup-simplify: Simplify 2 into 2 1539348209.929 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348209.929 * [misc]taylor: Taking taylor expansion of n in n 1539348209.929 * [misc]backup-simplify: Simplify 0 into 0 1539348209.929 * [misc]backup-simplify: Simplify 1 into 1 1539348209.929 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.929 * [misc]backup-simplify: Simplify PI into PI 1539348209.929 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348209.929 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348209.930 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348209.931 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348209.931 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348209.931 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1539348209.931 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348209.931 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.931 * [misc]backup-simplify: Simplify 2 into 2 1539348209.931 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.932 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.932 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1539348209.932 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1539348209.932 * [misc]taylor: Taking taylor expansion of n in n 1539348209.932 * [misc]backup-simplify: Simplify 0 into 0 1539348209.932 * [misc]backup-simplify: Simplify 1 into 1 1539348209.932 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1539348209.932 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.932 * [misc]backup-simplify: Simplify PI into PI 1539348209.932 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348209.933 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348209.933 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348209.933 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1539348209.934 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1539348209.935 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348209.936 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) 1539348209.937 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) into (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 1539348209.938 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1539348209.938 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348209.940 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1539348209.940 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348209.940 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348209.941 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1539348209.941 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1539348209.941 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1539348209.942 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1539348209.942 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 1539348209.943 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348209.944 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1539348209.945 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1539348209.947 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1539348209.949 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))) (* 0 (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1539348209.951 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 3)))))) into 0 1539348209.951 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348209.952 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348209.954 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348209.954 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348209.954 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348209.955 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1539348209.955 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1539348209.957 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1539348209.958 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))))) into 0 1539348209.958 * [misc]backup-simplify: Simplify (- 0) into 0 1539348209.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348209.958 * [misc]backup-simplify: Simplify (- 0) into 0 1539348209.959 * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 0) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1539348209.962 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1539348209.964 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1539348209.971 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) (* (/ 1 n) (pow k 3))) (+ (* (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) (* (/ 1 n) (pow k 2))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 n) k)))) into (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1539348209.972 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))) (sqrt (* (* 2 (/ 1 n)) PI))) into (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) 1539348209.972 * [misc]approximate: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) in (k n) around 0 1539348209.972 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) in n 1539348209.972 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in n 1539348209.972 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1539348209.972 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1539348209.972 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1539348209.972 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1539348209.972 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348209.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348209.972 * [misc]taylor: Taking taylor expansion of k in n 1539348209.972 * [misc]backup-simplify: Simplify k into k 1539348209.972 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1539348209.972 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348209.972 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348209.972 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.972 * [misc]backup-simplify: Simplify 2 into 2 1539348209.972 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.972 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.972 * [misc]backup-simplify: Simplify PI into PI 1539348209.972 * [misc]taylor: Taking taylor expansion of n in n 1539348209.972 * [misc]backup-simplify: Simplify 0 into 0 1539348209.972 * [misc]backup-simplify: Simplify 1 into 1 1539348209.973 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.973 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348209.973 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348209.974 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348209.975 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348209.975 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348209.975 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348209.975 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.975 * [misc]backup-simplify: Simplify 2 into 2 1539348209.975 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.975 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.976 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1539348209.976 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in n 1539348209.976 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in n 1539348209.976 * [misc]taylor: Taking taylor expansion of n in n 1539348209.976 * [misc]backup-simplify: Simplify 0 into 0 1539348209.976 * [misc]backup-simplify: Simplify 1 into 1 1539348209.976 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1539348209.976 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.976 * [misc]backup-simplify: Simplify PI into PI 1539348209.976 * [misc]taylor: Taking taylor expansion of k in n 1539348209.976 * [misc]backup-simplify: Simplify k into k 1539348209.976 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1539348209.976 * [misc]backup-simplify: Simplify (/ 1 (* PI k)) into (/ 1 (* PI k)) 1539348209.977 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348209.977 * [misc]backup-simplify: Simplify (/ (/ 1 (* PI k)) (* 2 (sqrt 0))) into (/ +nan.0 (* PI k)) 1539348209.977 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) in k 1539348209.977 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in k 1539348209.977 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1539348209.977 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1539348209.977 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1539348209.977 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1539348209.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348209.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348209.977 * [misc]taylor: Taking taylor expansion of k in k 1539348209.977 * [misc]backup-simplify: Simplify 0 into 0 1539348209.977 * [misc]backup-simplify: Simplify 1 into 1 1539348209.977 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1539348209.977 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539348209.977 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539348209.977 * [misc]taylor: Taking taylor expansion of 2 in k 1539348209.977 * [misc]backup-simplify: Simplify 2 into 2 1539348209.977 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348209.977 * [misc]taylor: Taking taylor expansion of PI in k 1539348209.977 * [misc]backup-simplify: Simplify PI into PI 1539348209.977 * [misc]taylor: Taking taylor expansion of n in k 1539348209.977 * [misc]backup-simplify: Simplify n into n 1539348209.978 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348209.978 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539348209.978 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539348209.978 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1539348209.978 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1539348209.978 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348209.978 * [misc]taylor: Taking taylor expansion of 2 in k 1539348209.978 * [misc]backup-simplify: Simplify 2 into 2 1539348209.978 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.978 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.979 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) into (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1539348209.979 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in k 1539348209.979 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in k 1539348209.979 * [misc]taylor: Taking taylor expansion of n in k 1539348209.979 * [misc]backup-simplify: Simplify n into n 1539348209.979 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1539348209.979 * [misc]taylor: Taking taylor expansion of PI in k 1539348209.979 * [misc]backup-simplify: Simplify PI into PI 1539348209.979 * [misc]taylor: Taking taylor expansion of k in k 1539348209.979 * [misc]backup-simplify: Simplify 0 into 0 1539348209.979 * [misc]backup-simplify: Simplify 1 into 1 1539348209.979 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539348209.980 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539348209.980 * [misc]backup-simplify: Simplify (/ n PI) into (/ n PI) 1539348209.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348209.980 * [misc]backup-simplify: Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI)) 1539348209.980 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) in k 1539348209.980 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in k 1539348209.980 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1539348209.980 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1539348209.981 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1539348209.981 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1539348209.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348209.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348209.981 * [misc]taylor: Taking taylor expansion of k in k 1539348209.981 * [misc]backup-simplify: Simplify 0 into 0 1539348209.981 * [misc]backup-simplify: Simplify 1 into 1 1539348209.981 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1539348209.981 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539348209.981 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539348209.981 * [misc]taylor: Taking taylor expansion of 2 in k 1539348209.981 * [misc]backup-simplify: Simplify 2 into 2 1539348209.981 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348209.981 * [misc]taylor: Taking taylor expansion of PI in k 1539348209.981 * [misc]backup-simplify: Simplify PI into PI 1539348209.981 * [misc]taylor: Taking taylor expansion of n in k 1539348209.981 * [misc]backup-simplify: Simplify n into n 1539348209.981 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348209.981 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539348209.981 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539348209.981 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1539348209.981 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1539348209.982 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348209.982 * [misc]taylor: Taking taylor expansion of 2 in k 1539348209.982 * [misc]backup-simplify: Simplify 2 into 2 1539348209.982 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.982 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.982 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) into (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1539348209.982 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in k 1539348209.982 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in k 1539348209.982 * [misc]taylor: Taking taylor expansion of n in k 1539348209.982 * [misc]backup-simplify: Simplify n into n 1539348209.982 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1539348209.982 * [misc]taylor: Taking taylor expansion of PI in k 1539348209.982 * [misc]backup-simplify: Simplify PI into PI 1539348209.983 * [misc]taylor: Taking taylor expansion of k in k 1539348209.983 * [misc]backup-simplify: Simplify 0 into 0 1539348209.983 * [misc]backup-simplify: Simplify 1 into 1 1539348209.983 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539348209.983 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539348209.983 * [misc]backup-simplify: Simplify (/ n PI) into (/ n PI) 1539348209.984 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348209.984 * [misc]backup-simplify: Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI)) 1539348209.984 * [misc]backup-simplify: Simplify (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 0) into 0 1539348209.984 * [misc]taylor: Taking taylor expansion of 0 in n 1539348209.984 * [misc]backup-simplify: Simplify 0 into 0 1539348209.984 * [misc]backup-simplify: Simplify 0 into 0 1539348209.985 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1539348209.985 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ n PI))) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)))) 1539348209.985 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)))) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI))) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348209.985 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348209.985 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348209.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348209.985 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.985 * [misc]backup-simplify: Simplify 2 into 2 1539348209.985 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.985 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.985 * [misc]backup-simplify: Simplify PI into PI 1539348209.985 * [misc]taylor: Taking taylor expansion of n in n 1539348209.985 * [misc]backup-simplify: Simplify 0 into 0 1539348209.985 * [misc]backup-simplify: Simplify 1 into 1 1539348209.986 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.986 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348209.986 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348209.986 * [misc]taylor: Taking taylor expansion of k in n 1539348209.986 * [misc]backup-simplify: Simplify k into k 1539348209.987 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348209.987 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348209.987 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348209.988 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348209.988 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348209.988 * [misc]taylor: Taking taylor expansion of n in n 1539348209.988 * [misc]backup-simplify: Simplify 0 into 0 1539348209.988 * [misc]backup-simplify: Simplify 1 into 1 1539348209.988 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in n 1539348209.988 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348209.988 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.988 * [misc]backup-simplify: Simplify 2 into 2 1539348209.988 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348209.988 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348209.988 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.988 * [misc]backup-simplify: Simplify PI into PI 1539348209.989 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1539348209.990 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348209.990 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348209.992 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348209.992 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1539348209.992 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1539348209.993 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348209.994 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348209.994 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1539348209.995 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1539348209.995 * [misc]backup-simplify: Simplify 0 into 0 1539348209.996 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1539348209.996 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)))) into 0 1539348209.996 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow n 2) (pow PI 2))) 1539348209.997 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348209.998 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348209.998 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) (* (sqrt 2) (pow PI 2))))) 1539348209.998 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) (* (sqrt 2) (pow PI 2))))) in n 1539348209.998 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) (* (sqrt 2) (pow PI 2)))) in n 1539348209.998 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348209.998 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348209.998 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) (* (sqrt 2) (pow PI 2))) in n 1539348209.998 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) in n 1539348209.998 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348209.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348209.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348209.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348209.999 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348209.999 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348209.999 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348209.999 * [misc]taylor: Taking taylor expansion of 2 in n 1539348209.999 * [misc]backup-simplify: Simplify 2 into 2 1539348209.999 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348209.999 * [misc]taylor: Taking taylor expansion of PI in n 1539348209.999 * [misc]backup-simplify: Simplify PI into PI 1539348209.999 * [misc]taylor: Taking taylor expansion of n in n 1539348209.999 * [misc]backup-simplify: Simplify 0 into 0 1539348209.999 * [misc]backup-simplify: Simplify 1 into 1 1539348209.999 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348209.999 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348209.999 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348209.999 * [misc]taylor: Taking taylor expansion of k in n 1539348209.999 * [misc]backup-simplify: Simplify k into k 1539348210.000 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.000 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.001 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348210.001 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348210.001 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.001 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1539348210.001 * [misc]taylor: Taking taylor expansion of n in n 1539348210.001 * [misc]backup-simplify: Simplify 0 into 0 1539348210.001 * [misc]backup-simplify: Simplify 1 into 1 1539348210.001 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1539348210.001 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348210.001 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.001 * [misc]backup-simplify: Simplify 2 into 2 1539348210.001 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348210.002 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348210.002 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1539348210.002 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.002 * [misc]backup-simplify: Simplify PI into PI 1539348210.002 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.002 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.002 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348210.003 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1539348210.004 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) 1539348210.004 * [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))) 1539348210.005 * [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)))) 1539348210.005 * [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)))) 1539348210.006 * [misc]backup-simplify: Simplify 0 into 0 1539348210.006 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539348210.007 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1539348210.007 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (/ (pow n 3) (pow PI 3))) 1539348210.007 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348210.008 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348210.009 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) (* (sqrt 2) (pow PI 3))))) 1539348210.009 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) (* (sqrt 2) (pow PI 3))))) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) (* (sqrt 2) (pow PI 3)))) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348210.009 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348210.009 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) (* (sqrt 2) (pow PI 3))) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348210.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348210.009 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.009 * [misc]backup-simplify: Simplify 2 into 2 1539348210.009 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.009 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.009 * [misc]backup-simplify: Simplify PI into PI 1539348210.009 * [misc]taylor: Taking taylor expansion of n in n 1539348210.009 * [misc]backup-simplify: Simplify 0 into 0 1539348210.009 * [misc]backup-simplify: Simplify 1 into 1 1539348210.009 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.010 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348210.010 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348210.010 * [misc]taylor: Taking taylor expansion of k in n 1539348210.010 * [misc]backup-simplify: Simplify k into k 1539348210.010 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.011 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.011 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348210.012 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348210.012 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.012 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1539348210.012 * [misc]taylor: Taking taylor expansion of n in n 1539348210.012 * [misc]backup-simplify: Simplify 0 into 0 1539348210.012 * [misc]backup-simplify: Simplify 1 into 1 1539348210.012 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n 1539348210.012 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348210.013 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.013 * [misc]backup-simplify: Simplify 2 into 2 1539348210.013 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348210.013 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348210.013 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1539348210.013 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.013 * [misc]backup-simplify: Simplify PI into PI 1539348210.013 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.013 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.014 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.014 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348210.015 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1539348210.015 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1539348210.017 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) 1539348210.018 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348210.019 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348210.024 * [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 1539348210.025 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348210.026 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1539348210.028 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1539348210.029 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0 1539348210.030 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1539348210.032 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1539348210.033 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into 0 1539348210.033 * [misc]backup-simplify: Simplify (- 0) into 0 1539348210.033 * [misc]backup-simplify: Simplify 0 into 0 1539348210.033 * [misc]backup-simplify: Simplify 0 into 0 1539348210.034 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1539348210.036 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1539348210.037 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (pow n 2) (pow PI 2))) 2) (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (pow n 4) (pow PI 4))) 1539348210.038 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348210.039 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348210.041 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) (* (sqrt 2) (pow PI 4))))) 1539348210.041 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) (* (sqrt 2) (pow PI 4))))) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) (* (sqrt 2) (pow PI 4)))) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348210.041 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348210.041 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) (* (sqrt 2) (pow PI 4))) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348210.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348210.041 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.041 * [misc]backup-simplify: Simplify 2 into 2 1539348210.041 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.041 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.041 * [misc]backup-simplify: Simplify PI into PI 1539348210.041 * [misc]taylor: Taking taylor expansion of n in n 1539348210.041 * [misc]backup-simplify: Simplify 0 into 0 1539348210.041 * [misc]backup-simplify: Simplify 1 into 1 1539348210.041 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.041 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348210.042 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348210.042 * [misc]taylor: Taking taylor expansion of k in n 1539348210.042 * [misc]backup-simplify: Simplify k into k 1539348210.042 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.042 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.043 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348210.043 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348210.043 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.043 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1539348210.044 * [misc]taylor: Taking taylor expansion of n in n 1539348210.044 * [misc]backup-simplify: Simplify 0 into 0 1539348210.044 * [misc]backup-simplify: Simplify 1 into 1 1539348210.044 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 4)) in n 1539348210.044 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348210.044 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.044 * [misc]backup-simplify: Simplify 2 into 2 1539348210.044 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348210.044 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348210.044 * [misc]taylor: Taking taylor expansion of (pow PI 4) in n 1539348210.044 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.044 * [misc]backup-simplify: Simplify PI into PI 1539348210.044 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.044 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.045 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.045 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348210.045 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1539348210.046 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1539348210.047 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 4))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 4))) 1539348210.047 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2)))) into (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2)))) 1539348210.048 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) 1539348210.049 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) 1539348210.050 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348210.051 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348210.056 * [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 1539348210.056 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348210.057 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1539348210.059 * [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 1539348210.060 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539348210.061 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348210.061 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 1539348210.063 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 1539348210.064 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into 0 1539348210.064 * [misc]backup-simplify: Simplify (- 0) into 0 1539348210.064 * [misc]backup-simplify: Simplify 0 into 0 1539348210.064 * [misc]backup-simplify: Simplify 0 into 0 1539348210.065 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1539348210.066 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1539348210.067 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 4) (pow PI 4))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (pow n 5) (pow PI 5))) 1539348210.067 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348210.068 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348210.070 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) (* (sqrt 2) (pow PI 5))))) 1539348210.070 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) (* (sqrt 2) (pow PI 5))))) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) (* (sqrt 2) (pow PI 5)))) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348210.070 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348210.070 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) (* (sqrt 2) (pow PI 5))) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348210.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348210.070 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.070 * [misc]backup-simplify: Simplify 2 into 2 1539348210.070 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.070 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.070 * [misc]backup-simplify: Simplify PI into PI 1539348210.070 * [misc]taylor: Taking taylor expansion of n in n 1539348210.070 * [misc]backup-simplify: Simplify 0 into 0 1539348210.070 * [misc]backup-simplify: Simplify 1 into 1 1539348210.070 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.070 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348210.071 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348210.071 * [misc]taylor: Taking taylor expansion of k in n 1539348210.071 * [misc]backup-simplify: Simplify k into k 1539348210.071 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.072 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.072 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348210.073 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348210.073 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.073 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1539348210.073 * [misc]taylor: Taking taylor expansion of n in n 1539348210.073 * [misc]backup-simplify: Simplify 0 into 0 1539348210.073 * [misc]backup-simplify: Simplify 1 into 1 1539348210.073 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 5)) in n 1539348210.074 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348210.074 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.074 * [misc]backup-simplify: Simplify 2 into 2 1539348210.074 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348210.074 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348210.074 * [misc]taylor: Taking taylor expansion of (pow PI 5) in n 1539348210.074 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.074 * [misc]backup-simplify: Simplify PI into PI 1539348210.074 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.074 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.075 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.075 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.076 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348210.076 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1539348210.077 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1539348210.077 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1539348210.079 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 5))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 5))) 1539348210.079 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348210.080 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348210.081 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348210.084 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348210.084 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1539348210.085 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1539348210.087 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348210.087 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 1)) into 0 1539348210.088 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348210.089 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1539348210.093 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1539348210.095 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into 0 1539348210.095 * [misc]backup-simplify: Simplify (- 0) into 0 1539348210.095 * [misc]backup-simplify: Simplify 0 into 0 1539348210.098 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348210.100 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348210.113 * [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 1539348210.114 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348210.115 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1539348210.121 * [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 1539348210.122 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1539348210.122 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348210.124 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348210.128 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 1539348210.129 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))))) into 0 1539348210.129 * [misc]backup-simplify: Simplify (- 0) into 0 1539348210.129 * [misc]backup-simplify: Simplify 0 into 0 1539348210.129 * [misc]backup-simplify: Simplify 0 into 0 1539348210.130 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1539348210.131 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1539348210.132 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (pow n 3) (pow PI 3))) 2) (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 5) (pow PI 5))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 4) (pow PI 4))))))) (* 2 0)) into (* +nan.0 (/ (pow n 6) (pow PI 6))) 1539348210.133 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348210.134 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348210.136 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 6) (pow PI 6)))) (+ (* 0 (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) (* (sqrt 2) (pow PI 6))))) 1539348210.136 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) (* (sqrt 2) (pow PI 6))))) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) (* (sqrt 2) (pow PI 6)))) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348210.136 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348210.136 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) (* (sqrt 2) (pow PI 6))) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348210.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348210.136 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.136 * [misc]backup-simplify: Simplify 2 into 2 1539348210.136 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.136 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.136 * [misc]backup-simplify: Simplify PI into PI 1539348210.136 * [misc]taylor: Taking taylor expansion of n in n 1539348210.136 * [misc]backup-simplify: Simplify 0 into 0 1539348210.136 * [misc]backup-simplify: Simplify 1 into 1 1539348210.136 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.136 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348210.137 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348210.137 * [misc]taylor: Taking taylor expansion of k in n 1539348210.137 * [misc]backup-simplify: Simplify k into k 1539348210.137 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.137 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348210.138 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348210.138 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348210.139 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.139 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1539348210.139 * [misc]taylor: Taking taylor expansion of n in n 1539348210.139 * [misc]backup-simplify: Simplify 0 into 0 1539348210.139 * [misc]backup-simplify: Simplify 1 into 1 1539348210.139 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 6)) in n 1539348210.139 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348210.139 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.139 * [misc]backup-simplify: Simplify 2 into 2 1539348210.139 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348210.139 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348210.139 * [misc]taylor: Taking taylor expansion of (pow PI 6) in n 1539348210.139 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.139 * [misc]backup-simplify: Simplify PI into PI 1539348210.139 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.139 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.139 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348210.140 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348210.140 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348210.140 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1539348210.141 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1539348210.141 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1539348210.142 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 6))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 6))) 1539348210.143 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3)))) into (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3)))) 1539348210.144 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) 1539348210.144 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) 1539348210.147 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) (pow PI 3))))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) (pow PI 2))))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))))))) 1539348210.148 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))) (sqrt (* (* 2 (/ 1 (- n))) PI))) into (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) 1539348210.148 * [misc]approximate: Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) in (k n) around 0 1539348210.148 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) in n 1539348210.148 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1539348210.148 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1539348210.148 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1539348210.148 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1539348210.148 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1539348210.148 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348210.148 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348210.148 * [misc]taylor: Taking taylor expansion of k in n 1539348210.148 * [misc]backup-simplify: Simplify k into k 1539348210.148 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1539348210.148 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348210.148 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348210.148 * [misc]taylor: Taking taylor expansion of -2 in n 1539348210.148 * [misc]backup-simplify: Simplify -2 into -2 1539348210.148 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.148 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.148 * [misc]backup-simplify: Simplify PI into PI 1539348210.148 * [misc]taylor: Taking taylor expansion of n in n 1539348210.148 * [misc]backup-simplify: Simplify 0 into 0 1539348210.148 * [misc]backup-simplify: Simplify 1 into 1 1539348210.148 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.149 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348210.149 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348210.149 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348210.150 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348210.150 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348210.150 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539348210.150 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539348210.150 * [misc]taylor: Taking taylor expansion of -1 in n 1539348210.150 * [misc]backup-simplify: Simplify -1 into -1 1539348210.150 * [misc]taylor: Taking taylor expansion of k in n 1539348210.150 * [misc]backup-simplify: Simplify k into k 1539348210.150 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539348210.150 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539348210.150 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539348210.150 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539348210.150 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348210.150 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348210.150 * [misc]taylor: Taking taylor expansion of -2 in n 1539348210.150 * [misc]backup-simplify: Simplify -2 into -2 1539348210.150 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.150 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.150 * [misc]backup-simplify: Simplify PI into PI 1539348210.150 * [misc]taylor: Taking taylor expansion of n in n 1539348210.150 * [misc]backup-simplify: Simplify 0 into 0 1539348210.150 * [misc]backup-simplify: Simplify 1 into 1 1539348210.151 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.151 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348210.151 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.151 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348210.152 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1539348210.152 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (* +nan.0 PI)) into (* +nan.0 (/ (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) PI)) 1539348210.153 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348210.153 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348210.153 * [misc]taylor: Taking taylor expansion of k in k 1539348210.153 * [misc]backup-simplify: Simplify 0 into 0 1539348210.153 * [misc]backup-simplify: Simplify 1 into 1 1539348210.153 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1539348210.153 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of -2 in k 1539348210.153 * [misc]backup-simplify: Simplify -2 into -2 1539348210.153 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of PI in k 1539348210.153 * [misc]backup-simplify: Simplify PI into PI 1539348210.153 * [misc]taylor: Taking taylor expansion of n in k 1539348210.153 * [misc]backup-simplify: Simplify n into n 1539348210.153 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348210.153 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348210.153 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539348210.153 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1539348210.153 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1539348210.153 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539348210.153 * [misc]taylor: Taking taylor expansion of -1 in k 1539348210.153 * [misc]backup-simplify: Simplify -1 into -1 1539348210.153 * [misc]taylor: Taking taylor expansion of k in k 1539348210.153 * [misc]backup-simplify: Simplify 0 into 0 1539348210.153 * [misc]backup-simplify: Simplify 1 into 1 1539348210.153 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539348210.154 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.154 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539348210.154 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1539348210.154 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348210.154 * [misc]taylor: Taking taylor expansion of -2 in k 1539348210.154 * [misc]backup-simplify: Simplify -2 into -2 1539348210.154 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348210.154 * [misc]taylor: Taking taylor expansion of PI in k 1539348210.154 * [misc]backup-simplify: Simplify PI into PI 1539348210.154 * [misc]taylor: Taking taylor expansion of n in k 1539348210.154 * [misc]backup-simplify: Simplify n into n 1539348210.154 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348210.154 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348210.154 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1539348210.154 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1539348210.154 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1539348210.154 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1539348210.155 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1539348210.155 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1539348210.155 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (sqrt (* -2 (/ PI n)))) into (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) 1539348210.155 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) in k 1539348210.155 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1539348210.155 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1539348210.155 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1539348210.155 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1539348210.155 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1539348210.155 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348210.155 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348210.155 * [misc]taylor: Taking taylor expansion of k in k 1539348210.155 * [misc]backup-simplify: Simplify 0 into 0 1539348210.155 * [misc]backup-simplify: Simplify 1 into 1 1539348210.155 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1539348210.155 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539348210.155 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348210.155 * [misc]taylor: Taking taylor expansion of -2 in k 1539348210.155 * [misc]backup-simplify: Simplify -2 into -2 1539348210.155 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348210.155 * [misc]taylor: Taking taylor expansion of PI in k 1539348210.155 * [misc]backup-simplify: Simplify PI into PI 1539348210.155 * [misc]taylor: Taking taylor expansion of n in k 1539348210.155 * [misc]backup-simplify: Simplify n into n 1539348210.155 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348210.155 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348210.155 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539348210.156 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1539348210.156 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1539348210.156 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539348210.156 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539348210.156 * [misc]taylor: Taking taylor expansion of -1 in k 1539348210.156 * [misc]backup-simplify: Simplify -1 into -1 1539348210.156 * [misc]taylor: Taking taylor expansion of k in k 1539348210.156 * [misc]backup-simplify: Simplify 0 into 0 1539348210.156 * [misc]backup-simplify: Simplify 1 into 1 1539348210.156 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539348210.156 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.156 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539348210.156 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1539348210.156 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348210.156 * [misc]taylor: Taking taylor expansion of -2 in k 1539348210.156 * [misc]backup-simplify: Simplify -2 into -2 1539348210.156 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348210.156 * [misc]taylor: Taking taylor expansion of PI in k 1539348210.156 * [misc]backup-simplify: Simplify PI into PI 1539348210.156 * [misc]taylor: Taking taylor expansion of n in k 1539348210.156 * [misc]backup-simplify: Simplify n into n 1539348210.157 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348210.157 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348210.157 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1539348210.157 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1539348210.157 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1539348210.157 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1539348210.157 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1539348210.157 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1539348210.157 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (sqrt (* -2 (/ PI n)))) into (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) 1539348210.157 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) in n 1539348210.157 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348210.158 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348210.158 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) in n 1539348210.158 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1539348210.158 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1539348210.158 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348210.158 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348210.158 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1539348210.158 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348210.158 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348210.158 * [misc]taylor: Taking taylor expansion of -2 in n 1539348210.158 * [misc]backup-simplify: Simplify -2 into -2 1539348210.158 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.158 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.158 * [misc]backup-simplify: Simplify PI into PI 1539348210.158 * [misc]taylor: Taking taylor expansion of n in n 1539348210.158 * [misc]backup-simplify: Simplify 0 into 0 1539348210.158 * [misc]backup-simplify: Simplify 1 into 1 1539348210.158 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.158 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348210.158 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348210.158 * [misc]taylor: Taking taylor expansion of k in n 1539348210.158 * [misc]backup-simplify: Simplify k into k 1539348210.159 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348210.159 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348210.160 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1539348210.160 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348210.160 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348210.160 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348210.160 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348210.160 * [misc]taylor: Taking taylor expansion of -2 in n 1539348210.160 * [misc]backup-simplify: Simplify -2 into -2 1539348210.160 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.160 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.160 * [misc]backup-simplify: Simplify PI into PI 1539348210.160 * [misc]taylor: Taking taylor expansion of n in n 1539348210.160 * [misc]backup-simplify: Simplify 0 into 0 1539348210.160 * [misc]backup-simplify: Simplify 1 into 1 1539348210.161 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.161 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348210.161 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.161 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348210.162 * [misc]backup-simplify: Simplify (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348210.162 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348210.163 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348210.163 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539348210.164 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539348210.164 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1539348210.165 * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (sqrt (* -2 (/ PI n)))) (+ (* (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) (/ 0 (sqrt (* -2 (/ PI n))))))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))))) 1539348210.165 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))))) in n 1539348210.165 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) in n 1539348210.165 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348210.165 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348210.165 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) in n 1539348210.165 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1539348210.165 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1539348210.165 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348210.165 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348210.165 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1539348210.165 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348210.165 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348210.165 * [misc]taylor: Taking taylor expansion of -2 in n 1539348210.165 * [misc]backup-simplify: Simplify -2 into -2 1539348210.165 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.165 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.165 * [misc]backup-simplify: Simplify PI into PI 1539348210.165 * [misc]taylor: Taking taylor expansion of n in n 1539348210.165 * [misc]backup-simplify: Simplify 0 into 0 1539348210.165 * [misc]backup-simplify: Simplify 1 into 1 1539348210.166 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.166 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348210.166 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348210.166 * [misc]taylor: Taking taylor expansion of k in n 1539348210.166 * [misc]backup-simplify: Simplify k into k 1539348210.167 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348210.168 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348210.168 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1539348210.169 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348210.170 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348210.170 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348210.170 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348210.170 * [misc]taylor: Taking taylor expansion of -2 in n 1539348210.170 * [misc]backup-simplify: Simplify -2 into -2 1539348210.170 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.170 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.170 * [misc]backup-simplify: Simplify PI into PI 1539348210.170 * [misc]taylor: Taking taylor expansion of n in n 1539348210.170 * [misc]backup-simplify: Simplify 0 into 0 1539348210.170 * [misc]backup-simplify: Simplify 1 into 1 1539348210.170 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.170 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348210.170 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.171 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348210.172 * [misc]backup-simplify: Simplify (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348210.173 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348210.173 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1539348210.174 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1539348210.175 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348210.176 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348210.178 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539348210.179 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1539348210.180 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1539348210.181 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348210.182 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348210.183 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348210.184 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348210.186 * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 PI)) (+ (* (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) (/ (* +nan.0 (pow PI 2)) (* +nan.0 PI))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1539348210.188 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (* 0 (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1539348210.188 * [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))))) 1539348210.191 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI))) (* 1 (/ 1 (- k)))) (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI)))) 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))) n))))))) 1539348210.191 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1539348210.191 * [misc]backup-simplify: Simplify (sqrt (* (* 2 n) PI)) into (* (sqrt 2) (sqrt (* n PI))) 1539348210.191 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1539348210.191 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539348210.191 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348210.191 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.191 * [misc]backup-simplify: Simplify 2 into 2 1539348210.191 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348210.192 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348210.192 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539348210.192 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348210.192 * [misc]taylor: Taking taylor expansion of n in n 1539348210.192 * [misc]backup-simplify: Simplify 0 into 0 1539348210.192 * [misc]backup-simplify: Simplify 1 into 1 1539348210.192 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.192 * [misc]backup-simplify: Simplify PI into PI 1539348210.192 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348210.193 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348210.193 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.193 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348210.194 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539348210.194 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348210.194 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.194 * [misc]backup-simplify: Simplify 2 into 2 1539348210.194 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348210.194 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348210.194 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539348210.194 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348210.194 * [misc]taylor: Taking taylor expansion of n in n 1539348210.194 * [misc]backup-simplify: Simplify 0 into 0 1539348210.194 * [misc]backup-simplify: Simplify 1 into 1 1539348210.194 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.194 * [misc]backup-simplify: Simplify PI into PI 1539348210.194 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348210.195 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348210.195 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.196 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348210.196 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348210.196 * [misc]backup-simplify: Simplify 0 into 0 1539348210.197 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348210.198 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348210.199 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348210.201 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348210.202 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348210.204 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539348210.206 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539348210.207 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348210.210 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1539348210.211 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348210.214 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1539348210.216 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1539348210.220 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow n 3)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow n 2)) (* (- (* +nan.0 (* (sqrt 2) PI))) n))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1539348210.220 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 n)) PI)) into (* (sqrt 2) (sqrt (/ PI n))) 1539348210.220 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1539348210.220 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1539348210.220 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348210.220 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.220 * [misc]backup-simplify: Simplify 2 into 2 1539348210.220 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348210.220 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348210.220 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1539348210.220 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.221 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.221 * [misc]backup-simplify: Simplify PI into PI 1539348210.221 * [misc]taylor: Taking taylor expansion of n in n 1539348210.221 * [misc]backup-simplify: Simplify 0 into 0 1539348210.221 * [misc]backup-simplify: Simplify 1 into 1 1539348210.221 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.221 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.222 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348210.222 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1539348210.222 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348210.222 * [misc]taylor: Taking taylor expansion of 2 in n 1539348210.222 * [misc]backup-simplify: Simplify 2 into 2 1539348210.222 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348210.222 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348210.222 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1539348210.222 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.222 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.222 * [misc]backup-simplify: Simplify PI into PI 1539348210.222 * [misc]taylor: Taking taylor expansion of n in n 1539348210.222 * [misc]backup-simplify: Simplify 0 into 0 1539348210.222 * [misc]backup-simplify: Simplify 1 into 1 1539348210.223 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.223 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.223 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348210.224 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348210.224 * [misc]backup-simplify: Simplify 0 into 0 1539348210.225 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348210.226 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539348210.227 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348210.228 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348210.229 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348210.232 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539348210.233 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539348210.235 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348210.238 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1539348210.238 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348210.242 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1539348210.243 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1539348210.247 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow (/ 1 n) 2)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (/ 1 n)) (- (* +nan.0 (* (sqrt 2) PI))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1539348210.247 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 (- n))) PI)) into (sqrt (* -2 (/ PI n))) 1539348210.247 * [misc]approximate: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1539348210.247 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348210.247 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348210.247 * [misc]taylor: Taking taylor expansion of -2 in n 1539348210.247 * [misc]backup-simplify: Simplify -2 into -2 1539348210.247 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.247 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.248 * [misc]backup-simplify: Simplify PI into PI 1539348210.248 * [misc]taylor: Taking taylor expansion of n in n 1539348210.248 * [misc]backup-simplify: Simplify 0 into 0 1539348210.248 * [misc]backup-simplify: Simplify 1 into 1 1539348210.248 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.248 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348210.248 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.249 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348210.249 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348210.249 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348210.249 * [misc]taylor: Taking taylor expansion of -2 in n 1539348210.249 * [misc]backup-simplify: Simplify -2 into -2 1539348210.249 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348210.249 * [misc]taylor: Taking taylor expansion of PI in n 1539348210.249 * [misc]backup-simplify: Simplify PI into PI 1539348210.249 * [misc]taylor: Taking taylor expansion of n in n 1539348210.249 * [misc]backup-simplify: Simplify 0 into 0 1539348210.249 * [misc]backup-simplify: Simplify 1 into 1 1539348210.249 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348210.250 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348210.250 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348210.251 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348210.251 * [misc]backup-simplify: Simplify 0 into 0 1539348210.251 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1539348210.252 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348210.253 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348210.255 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348210.255 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1539348210.256 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348210.257 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348210.260 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1539348210.261 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1539348210.262 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow (/ 1 (- n)) 2)) (+ (* (* +nan.0 (pow PI 2)) (/ 1 (- n))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1539348210.263 * * * [misc]progress: simplifying candidates 1539348210.263 * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # 1539348210.263 * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # 1539348210.264 * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # 1539348210.264 * [enter]simplify: Simplifying (- (+ (log (sqrt k)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt (* (* 2 n) PI)))) 1539348210.265 * * [misc]simplify: iters left: 6 (17 enodes) 1539348210.270 * * [misc]simplify: iters left: 5 (33 enodes) 1539348210.280 * * [misc]simplify: iters left: 4 (64 enodes) 1539348210.303 * * [misc]simplify: iters left: 3 (142 enodes) 1539348210.356 * * [misc]simplify: iters left: 2 (293 enodes) 1539348210.439 * [exit]simplify: Simplified to (- (fma (log (* n (* PI 2))) (/ k 2) (log (sqrt k))) (log (sqrt (* n (* PI 2))))) 1539348210.439 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (log (* n (* PI 2))) (/ k 2) (log (sqrt k))) (log (sqrt (* n (* PI 2)))))))) 1539348210.439 * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # 1539348210.439 * [enter]simplify: Simplifying (- (+ (log (sqrt k)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt (* (* 2 n) PI)))) 1539348210.439 * * [misc]simplify: iters left: 6 (17 enodes) 1539348210.444 * * [misc]simplify: iters left: 5 (33 enodes) 1539348210.449 * * [misc]simplify: iters left: 4 (64 enodes) 1539348210.460 * * [misc]simplify: iters left: 3 (142 enodes) 1539348210.494 * * [misc]simplify: iters left: 2 (293 enodes) 1539348210.622 * [exit]simplify: Simplified to (- (fma (log (* n (* PI 2))) (/ k 2) (log (sqrt k))) (log (sqrt (* n (* PI 2))))) 1539348210.622 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (log (* n (* PI 2))) (/ k 2) (log (sqrt k))) (log (sqrt (* n (* PI 2)))))))) 1539348210.622 * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # 1539348210.623 * [enter]simplify: Simplifying (- (+ (log (sqrt k)) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt (* (* 2 n) PI)))) 1539348210.623 * * [misc]simplify: iters left: 6 (17 enodes) 1539348210.628 * * [misc]simplify: iters left: 5 (29 enodes) 1539348210.637 * * [misc]simplify: iters left: 4 (55 enodes) 1539348210.651 * * [misc]simplify: iters left: 3 (112 enodes) 1539348210.678 * * [misc]simplify: iters left: 2 (270 enodes) 1539348210.770 * [exit]simplify: Simplified to (- (fma (log (* (* PI n) 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* (* PI n) 2)))) 1539348210.770 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (log (* (* PI n) 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* (* PI n) 2))))))) 1539348210.770 * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # 1539348210.771 * [enter]simplify: Simplifying (- (log (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt (* (* 2 n) PI)))) 1539348210.771 * * [misc]simplify: iters left: 6 (16 enodes) 1539348210.775 * * [misc]simplify: iters left: 5 (28 enodes) 1539348210.783 * * [misc]simplify: iters left: 4 (40 enodes) 1539348210.791 * * [misc]simplify: iters left: 3 (67 enodes) 1539348210.801 * * [misc]simplify: iters left: 2 (137 enodes) 1539348210.858 * * [misc]simplify: iters left: 1 (398 enodes) 1539348211.005 * [exit]simplify: Simplified to (- (fma (/ k 2) (log (* PI (* n 2))) (log (sqrt k))) (log (sqrt (* PI (* n 2))))) 1539348211.005 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (/ k 2) (log (* PI (* n 2))) (log (sqrt k))) (log (sqrt (* PI (* n 2)))))))) 1539348211.005 * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # 1539348211.005 * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # 1539348211.005 * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # 1539348211.005 * [enter]simplify: Simplifying (/ (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI)))) 1539348211.005 * * [misc]simplify: iters left: 6 (20 enodes) 1539348211.009 * * [misc]simplify: iters left: 5 (40 enodes) 1539348211.025 * * [misc]simplify: iters left: 4 (210 enodes) 1539348211.184 * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt k) (/ 2 k)) (* PI n)) (sqrt (* (* 2 PI) n))) (pow (pow (* (* 2 PI) n) (/ k 2)) 3)) 1539348211.184 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (/ (/ (sqrt k) (/ 2 k)) (* PI n)) (sqrt (* (* 2 PI) n))) (pow (pow (* (* 2 PI) n) (/ k 2)) 3))))) 1539348211.184 * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # 1539348211.184 * [enter]simplify: Simplifying (/ (* (* (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI)))) 1539348211.184 * * [misc]simplify: iters left: 6 (18 enodes) 1539348211.188 * * [misc]simplify: iters left: 5 (39 enodes) 1539348211.209 * * [misc]simplify: iters left: 4 (190 enodes) 1539348211.346 * [exit]simplify: Simplified to (* (/ (* k (pow (* n (* 2 PI)) (/ k 2))) (* n (* 2 PI))) (/ (* (pow (* n (* 2 PI)) (/ k 2)) (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt (* n (* 2 PI))) (sqrt k)))) 1539348211.346 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (* k (pow (* n (* 2 PI)) (/ k 2))) (* n (* 2 PI))) (/ (* (pow (* n (* 2 PI)) (/ k 2)) (pow (* n (* 2 PI)) (/ k 2))) (/ (sqrt (* n (* 2 PI))) (sqrt k))))))) 1539348211.346 * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # 1539348211.346 * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # 1539348211.347 * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # 1539348211.347 * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # 1539348211.347 * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # 1539348211.347 * [enter]simplify: Simplifying (/ (sqrt k) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1539348211.347 * * [misc]simplify: iters left: 6 (11 enodes) 1539348211.350 * * [misc]simplify: iters left: 5 (17 enodes) 1539348211.355 * * [misc]simplify: iters left: 4 (23 enodes) 1539348211.362 * * [misc]simplify: iters left: 3 (24 enodes) 1539348211.365 * [exit]simplify: Simplified to (/ (sqrt k) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) 1539348211.365 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))))) 1539348211.366 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1539348211.366 * * [misc]simplify: iters left: 6 (13 enodes) 1539348211.368 * * [misc]simplify: iters left: 5 (18 enodes) 1539348211.370 * * [misc]simplify: iters left: 4 (22 enodes) 1539348211.373 * * [misc]simplify: iters left: 3 (23 enodes) 1539348211.378 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1539348211.378 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n)))))))) 1539348211.378 * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # 1539348211.378 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (* 2 n))) 1539348211.378 * * [misc]simplify: iters left: 5 (7 enodes) 1539348211.379 * * [misc]simplify: iters left: 4 (8 enodes) 1539348211.380 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1539348211.380 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI))))) 1539348211.380 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1539348211.380 * * [misc]simplify: iters left: 6 (10 enodes) 1539348211.382 * * [misc]simplify: iters left: 5 (14 enodes) 1539348211.384 * * [misc]simplify: iters left: 4 (20 enodes) 1539348211.386 * * [misc]simplify: iters left: 3 (22 enodes) 1539348211.391 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1539348211.391 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI))))) 1539348211.391 * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # 1539348211.391 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI)))) 1539348211.391 * * [misc]simplify: iters left: 6 (10 enodes) 1539348211.394 * * [misc]simplify: iters left: 5 (14 enodes) 1539348211.398 * * [misc]simplify: iters left: 4 (20 enodes) 1539348211.404 * * [misc]simplify: iters left: 3 (22 enodes) 1539348211.408 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) 1539348211.408 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI))))))) 1539348211.408 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1539348211.408 * * [misc]simplify: iters left: 6 (13 enodes) 1539348211.411 * * [misc]simplify: iters left: 5 (18 enodes) 1539348211.413 * * [misc]simplify: iters left: 4 (22 enodes) 1539348211.416 * * [misc]simplify: iters left: 3 (23 enodes) 1539348211.418 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1539348211.418 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI)))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n)))))))) 1539348211.419 * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # 1539348211.419 * [enter]simplify: Simplifying (/ (sqrt k) 1) 1539348211.419 * * [misc]simplify: iters left: 3 (4 enodes) 1539348211.419 * * [misc]simplify: iters left: 2 (6 enodes) 1539348211.421 * * [misc]simplify: iters left: 1 (8 enodes) 1539348211.421 * [exit]simplify: Simplified to (sqrt k) 1539348211.422 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1539348211.422 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348211.422 * * [misc]simplify: iters left: 6 (12 enodes) 1539348211.424 * * [misc]simplify: iters left: 5 (17 enodes) 1539348211.426 * * [misc]simplify: iters left: 4 (21 enodes) 1539348211.428 * * [misc]simplify: iters left: 3 (22 enodes) 1539348211.431 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348211.431 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1539348211.431 * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # 1539348211.431 * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # 1539348211.431 * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # 1539348211.431 * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # 1539348211.431 * [enter]simplify: Simplifying (cbrt (sqrt (* (* 2 n) PI))) 1539348211.431 * * [misc]simplify: iters left: 6 (7 enodes) 1539348211.432 * * [misc]simplify: iters left: 5 (11 enodes) 1539348211.434 * * [misc]simplify: iters left: 4 (17 enodes) 1539348211.436 * * [misc]simplify: iters left: 3 (19 enodes) 1539348211.438 * [exit]simplify: Simplified to (cbrt (sqrt (* (* 2 n) PI))) 1539348211.438 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (cbrt (sqrt (* (* 2 n) PI)))))) 1539348211.438 * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # 1539348211.438 * [enter]simplify: Simplifying (sqrt PI) 1539348211.438 * * [misc]simplify: iters left: 1 (2 enodes) 1539348211.439 * [exit]simplify: Simplified to (sqrt PI) 1539348211.439 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (* 2 n))) (sqrt PI)))) 1539348211.439 * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # 1539348211.439 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1539348211.439 * * [misc]simplify: iters left: 6 (7 enodes) 1539348211.440 * * [misc]simplify: iters left: 5 (11 enodes) 1539348211.441 * * [misc]simplify: iters left: 4 (17 enodes) 1539348211.444 * * [misc]simplify: iters left: 3 (19 enodes) 1539348211.448 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1539348211.449 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt (* (* 2 n) PI)))))) 1539348211.449 * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # 1539348211.449 * [enter]simplify: Simplifying (sqrt (* (* 2 n) PI)) 1539348211.449 * * [misc]simplify: iters left: 5 (6 enodes) 1539348211.451 * * [misc]simplify: iters left: 4 (10 enodes) 1539348211.454 * * [misc]simplify: iters left: 3 (16 enodes) 1539348211.458 * * [misc]simplify: iters left: 2 (18 enodes) 1539348211.462 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1539348211.462 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) 1) (sqrt (* (* 2 n) PI))))) 1539348211.462 * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # 1539348211.463 * [enter]simplify: Simplifying (sqrt k) 1539348211.463 * * [misc]simplify: iters left: 1 (2 enodes) 1539348211.463 * [exit]simplify: Simplified to (sqrt k) 1539348211.463 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))) 1539348211.463 * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # 1539348211.463 * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # 1539348211.463 * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # 1539348211.463 * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # 1539348211.464 * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # 1539348211.464 * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # 1539348211.464 * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # 1539348211.464 * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # 1539348211.464 * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # 1539348211.464 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1539348211.464 * * [misc]simplify: iters left: 3 (4 enodes) 1539348211.465 * * [misc]simplify: iters left: 2 (5 enodes) 1539348211.467 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1539348211.467 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (* (sqrt (* 2 n)) (sqrt PI))))) 1539348211.467 * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # 1539348211.467 * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # 1539348211.467 * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # 1539348211.467 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348211.467 * * [misc]simplify: iters left: 4 (5 enodes) 1539348211.469 * * [misc]simplify: iters left: 3 (9 enodes) 1539348211.473 * * [misc]simplify: iters left: 2 (15 enodes) 1539348211.477 * * [misc]simplify: iters left: 1 (17 enodes) 1539348211.481 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348211.481 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* (* PI n) 2) (/ k 2))) (sqrt (* (* 2 n) PI))))) 1539348211.481 * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # 1539348211.482 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348211.482 * * [misc]simplify: iters left: 4 (5 enodes) 1539348211.483 * * [misc]simplify: iters left: 3 (9 enodes) 1539348211.486 * * [misc]simplify: iters left: 2 (15 enodes) 1539348211.490 * * [misc]simplify: iters left: 1 (17 enodes) 1539348211.494 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348211.494 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* (* PI n) 2) (/ k 2))) (sqrt (* (* 2 n) PI))))) 1539348211.494 * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # 1539348211.494 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348211.494 * * [misc]simplify: iters left: 4 (5 enodes) 1539348211.496 * * [misc]simplify: iters left: 3 (9 enodes) 1539348211.499 * * [misc]simplify: iters left: 2 (15 enodes) 1539348211.503 * * [misc]simplify: iters left: 1 (17 enodes) 1539348211.506 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348211.506 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* (* PI n) 2) (/ k 2))) (sqrt (* (* 2 n) PI))))) 1539348211.507 * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # 1539348211.507 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348211.507 * * [misc]simplify: iters left: 4 (5 enodes) 1539348211.509 * * [misc]simplify: iters left: 3 (9 enodes) 1539348211.511 * * [misc]simplify: iters left: 2 (15 enodes) 1539348211.515 * * [misc]simplify: iters left: 1 (17 enodes) 1539348211.519 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348211.519 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* PI n) 2))))) 1539348211.519 * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # 1539348211.519 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348211.519 * * [misc]simplify: iters left: 4 (5 enodes) 1539348211.521 * * [misc]simplify: iters left: 3 (9 enodes) 1539348211.524 * * [misc]simplify: iters left: 2 (15 enodes) 1539348211.528 * * [misc]simplify: iters left: 1 (17 enodes) 1539348211.532 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348211.532 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* PI n) 2))))) 1539348211.532 * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # 1539348211.533 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348211.533 * * [misc]simplify: iters left: 4 (5 enodes) 1539348211.534 * * [misc]simplify: iters left: 3 (9 enodes) 1539348211.537 * * [misc]simplify: iters left: 2 (15 enodes) 1539348211.541 * * [misc]simplify: iters left: 1 (17 enodes) 1539348211.545 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348211.545 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* PI n) 2))))) 1539348211.545 * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # 1539348211.545 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1539348211.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539348211.546 * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # 1539348211.546 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))))))) 1539348211.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539348211.546 * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # 1539348211.546 * [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))) n))))))) 1539348211.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539348211.546 * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # 1539348211.547 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1539348211.547 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) +nan.0))) 1539348211.547 * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # 1539348211.547 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1539348211.547 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) +nan.0))) 1539348211.547 * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # 1539348211.547 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1539348211.547 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) +nan.0))) 1539348211.547 * * * [misc]progress: adding candidates to table 1539348212.281 * * [misc]progress: iteration 4 / 4 1539348212.281 * * * [misc]progress: picking best candidate 1539348212.322 * * * * [misc]pick: Picked # 1539348212.322 * * * [misc]progress: localizing error 1539348212.331 * * * [misc]progress: generating rewritten candidates 1539348212.331 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1539348212.341 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1) 1539348212.344 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1539348212.346 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1539348212.355 * * * [misc]progress: generating series expansions 1539348212.355 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1539348212.356 * [misc]backup-simplify: Simplify (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))) into (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) 1539348212.356 * [misc]approximate: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) in (k n) around 0 1539348212.356 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) in n 1539348212.356 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in n 1539348212.356 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1539348212.356 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1539348212.356 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1539348212.356 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348212.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.356 * [misc]taylor: Taking taylor expansion of k in n 1539348212.356 * [misc]backup-simplify: Simplify k into k 1539348212.356 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348212.356 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.356 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.356 * [misc]backup-simplify: Simplify 2 into 2 1539348212.356 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.356 * [misc]taylor: Taking taylor expansion of n in n 1539348212.356 * [misc]backup-simplify: Simplify 0 into 0 1539348212.356 * [misc]backup-simplify: Simplify 1 into 1 1539348212.356 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.356 * [misc]backup-simplify: Simplify PI into PI 1539348212.356 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.357 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348212.357 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.357 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348212.358 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.358 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348212.358 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.359 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1539348212.359 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1539348212.359 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.359 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.359 * [misc]backup-simplify: Simplify 2 into 2 1539348212.359 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.359 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.360 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) into (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) 1539348212.360 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in n 1539348212.360 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in n 1539348212.360 * [misc]taylor: Taking taylor expansion of k in n 1539348212.360 * [misc]backup-simplify: Simplify k into k 1539348212.360 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.360 * [misc]taylor: Taking taylor expansion of n in n 1539348212.360 * [misc]backup-simplify: Simplify 0 into 0 1539348212.360 * [misc]backup-simplify: Simplify 1 into 1 1539348212.360 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.360 * [misc]backup-simplify: Simplify PI into PI 1539348212.360 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.360 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.361 * [misc]backup-simplify: Simplify (/ k PI) into (/ k PI) 1539348212.361 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.361 * [misc]backup-simplify: Simplify (/ (/ k PI) (* 2 (sqrt 0))) into (* +nan.0 (/ k PI)) 1539348212.361 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) in k 1539348212.361 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in k 1539348212.361 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1539348212.361 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1539348212.361 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1539348212.361 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348212.361 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.361 * [misc]taylor: Taking taylor expansion of k in k 1539348212.361 * [misc]backup-simplify: Simplify 0 into 0 1539348212.361 * [misc]backup-simplify: Simplify 1 into 1 1539348212.361 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539348212.361 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539348212.361 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.361 * [misc]backup-simplify: Simplify 2 into 2 1539348212.361 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348212.361 * [misc]taylor: Taking taylor expansion of n in k 1539348212.361 * [misc]backup-simplify: Simplify n into n 1539348212.361 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.361 * [misc]backup-simplify: Simplify PI into PI 1539348212.361 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348212.361 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539348212.361 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539348212.361 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348212.361 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1539348212.362 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539348212.362 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1539348212.362 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1539348212.362 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539348212.363 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1539348212.363 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348212.363 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348212.363 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.363 * [misc]backup-simplify: Simplify 2 into 2 1539348212.363 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.363 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.363 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1539348212.363 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in k 1539348212.363 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in k 1539348212.363 * [misc]taylor: Taking taylor expansion of k in k 1539348212.363 * [misc]backup-simplify: Simplify 0 into 0 1539348212.363 * [misc]backup-simplify: Simplify 1 into 1 1539348212.363 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348212.363 * [misc]taylor: Taking taylor expansion of n in k 1539348212.363 * [misc]backup-simplify: Simplify n into n 1539348212.363 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.363 * [misc]backup-simplify: Simplify PI into PI 1539348212.363 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348212.363 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1539348212.363 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.364 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1539348212.364 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ k (* n PI)))) in k 1539348212.364 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in k 1539348212.364 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1539348212.364 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1539348212.364 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1539348212.364 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348212.364 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.364 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.364 * [misc]taylor: Taking taylor expansion of k in k 1539348212.364 * [misc]backup-simplify: Simplify 0 into 0 1539348212.364 * [misc]backup-simplify: Simplify 1 into 1 1539348212.364 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539348212.364 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539348212.364 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.364 * [misc]backup-simplify: Simplify 2 into 2 1539348212.364 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348212.364 * [misc]taylor: Taking taylor expansion of n in k 1539348212.364 * [misc]backup-simplify: Simplify n into n 1539348212.364 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.364 * [misc]backup-simplify: Simplify PI into PI 1539348212.364 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348212.364 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539348212.364 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539348212.364 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348212.364 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1539348212.364 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539348212.365 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1539348212.365 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1539348212.365 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539348212.365 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1539348212.365 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348212.365 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348212.365 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.365 * [misc]backup-simplify: Simplify 2 into 2 1539348212.366 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.366 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.366 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1539348212.366 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in k 1539348212.366 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in k 1539348212.366 * [misc]taylor: Taking taylor expansion of k in k 1539348212.366 * [misc]backup-simplify: Simplify 0 into 0 1539348212.366 * [misc]backup-simplify: Simplify 1 into 1 1539348212.366 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348212.366 * [misc]taylor: Taking taylor expansion of n in k 1539348212.366 * [misc]backup-simplify: Simplify n into n 1539348212.366 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.366 * [misc]backup-simplify: Simplify PI into PI 1539348212.366 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348212.366 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1539348212.366 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.366 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1539348212.367 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1539348212.367 * [misc]taylor: Taking taylor expansion of 0 in n 1539348212.367 * [misc]backup-simplify: Simplify 0 into 0 1539348212.367 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1)))) into (* 1/2 (log (* 2 (* n PI)))) 1539348212.367 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (log (* 2 (* n PI)))) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) 1539348212.368 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* n PI))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) 1539348212.368 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) in n 1539348212.368 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* n PI)))) in n 1539348212.368 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.368 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.368 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* n PI))) in n 1539348212.368 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1539348212.368 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.368 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.368 * [misc]backup-simplify: Simplify 2 into 2 1539348212.368 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.368 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.368 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.368 * [misc]taylor: Taking taylor expansion of n in n 1539348212.368 * [misc]backup-simplify: Simplify 0 into 0 1539348212.368 * [misc]backup-simplify: Simplify 1 into 1 1539348212.368 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.368 * [misc]backup-simplify: Simplify PI into PI 1539348212.368 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.368 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348212.369 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.369 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1539348212.370 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) 1539348212.370 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) PI))) into (/ +nan.0 (* (sqrt 2) PI)) 1539348212.371 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539348212.372 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539348212.372 * [misc]backup-simplify: Simplify 0 into 0 1539348212.372 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539348212.372 * [misc]backup-simplify: Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))))) into 0 1539348212.372 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow n 2) (pow PI 2))) 1539348212.373 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.373 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1539348212.374 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1539348212.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539348212.374 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1539348212.375 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1539348212.376 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348212.379 * [misc]backup-simplify: Simplify (- (/ (* 1/8 (pow (log (* 2 (* n PI))) 2)) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ 0 (sqrt 2))))) into (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) 1539348212.380 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) 1539348212.380 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) in n 1539348212.380 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))))) in n 1539348212.380 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1539348212.380 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.380 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.380 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1539348212.380 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1539348212.380 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.380 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.381 * [misc]backup-simplify: Simplify 2 into 2 1539348212.381 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.381 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.381 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1539348212.381 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1539348212.381 * [misc]taylor: Taking taylor expansion of n in n 1539348212.381 * [misc]backup-simplify: Simplify 0 into 0 1539348212.381 * [misc]backup-simplify: Simplify 1 into 1 1539348212.381 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1539348212.381 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.381 * [misc]backup-simplify: Simplify PI into PI 1539348212.381 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.381 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348212.381 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1539348212.382 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1539348212.382 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 2))) into (/ 1 (* (sqrt 2) (pow PI 2))) 1539348212.382 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))) in n 1539348212.383 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))) in n 1539348212.383 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.383 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.383 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))) in n 1539348212.383 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348212.383 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.383 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.383 * [misc]backup-simplify: Simplify 2 into 2 1539348212.383 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.383 * [misc]taylor: Taking taylor expansion of n in n 1539348212.383 * [misc]backup-simplify: Simplify 0 into 0 1539348212.383 * [misc]backup-simplify: Simplify 1 into 1 1539348212.383 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.383 * [misc]backup-simplify: Simplify PI into PI 1539348212.383 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.383 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348212.383 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.384 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348212.384 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.384 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1539348212.384 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.384 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.384 * [misc]backup-simplify: Simplify 2 into 2 1539348212.384 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.384 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.384 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.384 * [misc]taylor: Taking taylor expansion of n in n 1539348212.384 * [misc]backup-simplify: Simplify 0 into 0 1539348212.384 * [misc]backup-simplify: Simplify 1 into 1 1539348212.384 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.384 * [misc]backup-simplify: Simplify PI into PI 1539348212.385 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.385 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.385 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348212.385 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.386 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1539348212.386 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.387 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) 1539348212.388 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348212.388 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348212.389 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1539348212.390 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1539348212.393 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1539348212.395 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 2))))) into 0 1539348212.396 * [misc]backup-simplify: Simplify (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) into (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) 1539348212.397 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348212.399 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348212.401 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348212.403 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348212.404 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348212.406 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348212.407 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1539348212.409 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1539348212.411 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 1539348212.411 * [misc]backup-simplify: Simplify (- 0) into 0 1539348212.411 * [misc]backup-simplify: Simplify 0 into 0 1539348212.411 * [misc]backup-simplify: Simplify 0 into 0 1539348212.412 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.412 * [misc]backup-simplify: Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))) (* 0 (/ 0 (* n PI))))) into 0 1539348212.413 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 (* n PI)) (/ +nan.0 (* (pow n 2) (pow PI 2))))))) (* 2 0)) into (/ +nan.0 (* (pow n 3) (pow PI 3))) 1539348212.414 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.414 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1539348212.417 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1539348212.417 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539348212.418 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1539348212.420 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 3) 6)) (* (/ (pow (* 1/2 (log (* 2 (* n PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/48 (pow (log (* 2 (* n PI))) 3)) 1539348212.420 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348212.422 * [misc]backup-simplify: Simplify (- (/ (* 1/48 (pow (log (* 2 (* n PI))) 3)) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ 0 (sqrt 2))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ 0 (sqrt 2))))) into (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2))) 1539348212.424 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2))) 0)))) into (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))) 1539348212.424 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))) in n 1539348212.425 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) in n 1539348212.425 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) in n 1539348212.425 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.425 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.425 * [misc]taylor: Taking taylor expansion of (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))) in n 1539348212.425 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1539348212.425 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348212.425 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.425 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.425 * [misc]backup-simplify: Simplify 2 into 2 1539348212.425 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.425 * [misc]taylor: Taking taylor expansion of n in n 1539348212.425 * [misc]backup-simplify: Simplify 0 into 0 1539348212.425 * [misc]backup-simplify: Simplify 1 into 1 1539348212.425 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.425 * [misc]backup-simplify: Simplify PI into PI 1539348212.425 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.425 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348212.426 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.427 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348212.427 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.428 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.428 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1539348212.428 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.428 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.428 * [misc]backup-simplify: Simplify 2 into 2 1539348212.428 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.428 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.428 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.428 * [misc]taylor: Taking taylor expansion of n in n 1539348212.428 * [misc]backup-simplify: Simplify 0 into 0 1539348212.428 * [misc]backup-simplify: Simplify 1 into 1 1539348212.429 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.429 * [misc]backup-simplify: Simplify PI into PI 1539348212.429 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.430 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.431 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1539348212.431 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.431 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539348212.432 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.433 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1539348212.434 * [misc]backup-simplify: Simplify (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) into (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) 1539348212.434 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))) in n 1539348212.434 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) in n 1539348212.434 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) in n 1539348212.434 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.434 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.434 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n 1539348212.434 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n 1539348212.434 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.434 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.434 * [misc]backup-simplify: Simplify 2 into 2 1539348212.434 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.435 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.435 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1539348212.435 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1539348212.435 * [misc]taylor: Taking taylor expansion of n in n 1539348212.435 * [misc]backup-simplify: Simplify 0 into 0 1539348212.435 * [misc]backup-simplify: Simplify 1 into 1 1539348212.435 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1539348212.435 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.435 * [misc]backup-simplify: Simplify PI into PI 1539348212.435 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.435 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.435 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348212.436 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1539348212.436 * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) 1539348212.437 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1539348212.438 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 3))) into (/ 1 (* (sqrt 2) (pow PI 3))) 1539348212.438 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))) in n 1539348212.438 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1539348212.438 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.438 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.438 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1539348212.438 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348212.438 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.438 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.438 * [misc]backup-simplify: Simplify 2 into 2 1539348212.438 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.438 * [misc]taylor: Taking taylor expansion of n in n 1539348212.438 * [misc]backup-simplify: Simplify 0 into 0 1539348212.438 * [misc]backup-simplify: Simplify 1 into 1 1539348212.438 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.438 * [misc]backup-simplify: Simplify PI into PI 1539348212.439 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.439 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348212.439 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.440 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348212.441 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.441 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1539348212.441 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.441 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.441 * [misc]backup-simplify: Simplify 2 into 2 1539348212.441 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.441 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.441 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1539348212.441 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1539348212.441 * [misc]taylor: Taking taylor expansion of n in n 1539348212.441 * [misc]backup-simplify: Simplify 0 into 0 1539348212.441 * [misc]backup-simplify: Simplify 1 into 1 1539348212.441 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1539348212.441 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.441 * [misc]backup-simplify: Simplify PI into PI 1539348212.442 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.442 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.442 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348212.443 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1539348212.444 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1539348212.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.445 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) 1539348212.446 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) into (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 1539348212.447 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.448 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348212.449 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1539348212.449 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348212.450 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348212.451 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1539348212.451 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1539348212.451 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1539348212.452 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1539348212.452 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 1539348212.453 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348212.454 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1539348212.455 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1539348212.457 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1539348212.459 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))) (* 0 (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1539348212.461 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 3)))))) into 0 1539348212.461 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348212.462 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348212.464 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348212.464 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348212.464 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348212.465 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1539348212.465 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1539348212.467 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1539348212.468 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))))) into 0 1539348212.468 * [misc]backup-simplify: Simplify (- 0) into 0 1539348212.468 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348212.468 * [misc]backup-simplify: Simplify (- 0) into 0 1539348212.469 * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 0) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1539348212.472 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1539348212.474 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1539348212.479 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) (* (/ 1 n) (pow k 3))) (+ (* (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) (* (/ 1 n) (pow k 2))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 n) k)))) into (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1539348212.480 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 k)) (/ (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2)) (sqrt (* (* 2 (/ 1 n)) PI)))) into (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) 1539348212.480 * [misc]approximate: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) in (k n) around 0 1539348212.480 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) in n 1539348212.480 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in n 1539348212.480 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1539348212.480 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1539348212.480 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1539348212.480 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1539348212.480 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.480 * [misc]taylor: Taking taylor expansion of k in n 1539348212.480 * [misc]backup-simplify: Simplify k into k 1539348212.480 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1539348212.480 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348212.480 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.480 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.480 * [misc]backup-simplify: Simplify 2 into 2 1539348212.480 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.480 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.480 * [misc]backup-simplify: Simplify PI into PI 1539348212.480 * [misc]taylor: Taking taylor expansion of n in n 1539348212.480 * [misc]backup-simplify: Simplify 0 into 0 1539348212.480 * [misc]backup-simplify: Simplify 1 into 1 1539348212.481 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.481 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.481 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.482 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.483 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348212.483 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.483 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.483 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.483 * [misc]backup-simplify: Simplify 2 into 2 1539348212.483 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.484 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.484 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1539348212.484 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in n 1539348212.484 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in n 1539348212.485 * [misc]taylor: Taking taylor expansion of n in n 1539348212.485 * [misc]backup-simplify: Simplify 0 into 0 1539348212.485 * [misc]backup-simplify: Simplify 1 into 1 1539348212.485 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1539348212.485 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.485 * [misc]backup-simplify: Simplify PI into PI 1539348212.485 * [misc]taylor: Taking taylor expansion of k in n 1539348212.485 * [misc]backup-simplify: Simplify k into k 1539348212.485 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1539348212.485 * [misc]backup-simplify: Simplify (/ 1 (* PI k)) into (/ 1 (* PI k)) 1539348212.485 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.485 * [misc]backup-simplify: Simplify (/ (/ 1 (* PI k)) (* 2 (sqrt 0))) into (/ +nan.0 (* PI k)) 1539348212.485 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) in k 1539348212.485 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in k 1539348212.485 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1539348212.485 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1539348212.485 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1539348212.485 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1539348212.486 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.486 * [misc]taylor: Taking taylor expansion of k in k 1539348212.486 * [misc]backup-simplify: Simplify 0 into 0 1539348212.486 * [misc]backup-simplify: Simplify 1 into 1 1539348212.486 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1539348212.486 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539348212.486 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539348212.486 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.486 * [misc]backup-simplify: Simplify 2 into 2 1539348212.486 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348212.486 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.486 * [misc]backup-simplify: Simplify PI into PI 1539348212.486 * [misc]taylor: Taking taylor expansion of n in k 1539348212.486 * [misc]backup-simplify: Simplify n into n 1539348212.486 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348212.486 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539348212.486 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539348212.486 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1539348212.487 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1539348212.487 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348212.487 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.487 * [misc]backup-simplify: Simplify 2 into 2 1539348212.487 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.487 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.487 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) into (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1539348212.487 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in k 1539348212.487 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in k 1539348212.488 * [misc]taylor: Taking taylor expansion of n in k 1539348212.488 * [misc]backup-simplify: Simplify n into n 1539348212.488 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1539348212.488 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.488 * [misc]backup-simplify: Simplify PI into PI 1539348212.488 * [misc]taylor: Taking taylor expansion of k in k 1539348212.488 * [misc]backup-simplify: Simplify 0 into 0 1539348212.488 * [misc]backup-simplify: Simplify 1 into 1 1539348212.488 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539348212.489 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539348212.489 * [misc]backup-simplify: Simplify (/ n PI) into (/ n PI) 1539348212.489 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.489 * [misc]backup-simplify: Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI)) 1539348212.489 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n (* PI k)))) in k 1539348212.489 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in k 1539348212.489 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1539348212.489 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1539348212.489 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1539348212.489 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1539348212.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.490 * [misc]taylor: Taking taylor expansion of k in k 1539348212.490 * [misc]backup-simplify: Simplify 0 into 0 1539348212.490 * [misc]backup-simplify: Simplify 1 into 1 1539348212.490 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1539348212.490 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539348212.490 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539348212.490 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.490 * [misc]backup-simplify: Simplify 2 into 2 1539348212.490 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348212.490 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.490 * [misc]backup-simplify: Simplify PI into PI 1539348212.490 * [misc]taylor: Taking taylor expansion of n in k 1539348212.490 * [misc]backup-simplify: Simplify n into n 1539348212.490 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348212.490 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539348212.490 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539348212.490 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1539348212.491 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1539348212.491 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348212.491 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.491 * [misc]backup-simplify: Simplify 2 into 2 1539348212.491 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.491 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.491 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) into (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1539348212.491 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in k 1539348212.491 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in k 1539348212.491 * [misc]taylor: Taking taylor expansion of n in k 1539348212.491 * [misc]backup-simplify: Simplify n into n 1539348212.492 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1539348212.492 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.492 * [misc]backup-simplify: Simplify PI into PI 1539348212.492 * [misc]taylor: Taking taylor expansion of k in k 1539348212.492 * [misc]backup-simplify: Simplify 0 into 0 1539348212.492 * [misc]backup-simplify: Simplify 1 into 1 1539348212.492 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539348212.493 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539348212.493 * [misc]backup-simplify: Simplify (/ n PI) into (/ n PI) 1539348212.493 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.493 * [misc]backup-simplify: Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI)) 1539348212.493 * [misc]backup-simplify: Simplify (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 0) into 0 1539348212.493 * [misc]taylor: Taking taylor expansion of 0 in n 1539348212.493 * [misc]backup-simplify: Simplify 0 into 0 1539348212.493 * [misc]backup-simplify: Simplify 0 into 0 1539348212.494 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1539348212.495 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ n PI))) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)))) 1539348212.495 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)))) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI))) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.495 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.495 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) (* (sqrt 2) PI)) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) n) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.495 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.495 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.495 * [misc]backup-simplify: Simplify 2 into 2 1539348212.495 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.495 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.495 * [misc]backup-simplify: Simplify PI into PI 1539348212.495 * [misc]taylor: Taking taylor expansion of n in n 1539348212.495 * [misc]backup-simplify: Simplify 0 into 0 1539348212.495 * [misc]backup-simplify: Simplify 1 into 1 1539348212.496 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.496 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.496 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.497 * [misc]taylor: Taking taylor expansion of k in n 1539348212.497 * [misc]backup-simplify: Simplify k into k 1539348212.497 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.498 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.498 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348212.499 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348212.499 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.499 * [misc]taylor: Taking taylor expansion of n in n 1539348212.500 * [misc]backup-simplify: Simplify 0 into 0 1539348212.500 * [misc]backup-simplify: Simplify 1 into 1 1539348212.500 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in n 1539348212.500 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.500 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.500 * [misc]backup-simplify: Simplify 2 into 2 1539348212.500 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.500 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.500 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.500 * [misc]backup-simplify: Simplify PI into PI 1539348212.501 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1539348212.502 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348212.502 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348212.505 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348212.506 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1539348212.507 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1539348212.508 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348212.509 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) (* 0 0)) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.509 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1539348212.510 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1539348212.510 * [misc]backup-simplify: Simplify 0 into 0 1539348212.511 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1539348212.512 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)))) into 0 1539348212.512 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow n 2) (pow PI 2))) 1539348212.514 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348212.514 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348212.517 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) (* (sqrt 2) (pow PI 2))))) 1539348212.517 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) (* (sqrt 2) (pow PI 2))))) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) (* (sqrt 2) (pow PI 2)))) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.517 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.517 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) (* (sqrt 2) (pow PI 2))) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 2)) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.517 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.517 * [misc]backup-simplify: Simplify 2 into 2 1539348212.517 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.517 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.517 * [misc]backup-simplify: Simplify PI into PI 1539348212.517 * [misc]taylor: Taking taylor expansion of n in n 1539348212.517 * [misc]backup-simplify: Simplify 0 into 0 1539348212.517 * [misc]backup-simplify: Simplify 1 into 1 1539348212.518 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.518 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.519 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.519 * [misc]taylor: Taking taylor expansion of k in n 1539348212.519 * [misc]backup-simplify: Simplify k into k 1539348212.519 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.520 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.520 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348212.521 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348212.522 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.522 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1539348212.522 * [misc]taylor: Taking taylor expansion of n in n 1539348212.522 * [misc]backup-simplify: Simplify 0 into 0 1539348212.522 * [misc]backup-simplify: Simplify 1 into 1 1539348212.522 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1539348212.522 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.522 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.522 * [misc]backup-simplify: Simplify 2 into 2 1539348212.523 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.523 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.523 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1539348212.523 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.523 * [misc]backup-simplify: Simplify PI into PI 1539348212.523 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.524 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.524 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348212.525 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1539348212.526 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) 1539348212.527 * [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))) 1539348212.528 * [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)))) 1539348212.529 * [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)))) 1539348212.529 * [misc]backup-simplify: Simplify 0 into 0 1539348212.530 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539348212.531 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1539348212.532 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (/ (pow n 3) (pow PI 3))) 1539348212.532 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348212.533 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348212.535 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) (* (sqrt 2) (pow PI 3))))) 1539348212.535 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) (* (sqrt 2) (pow PI 3))))) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) (* (sqrt 2) (pow PI 3)))) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.535 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.535 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) (* (sqrt 2) (pow PI 3))) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 3)) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.535 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.535 * [misc]backup-simplify: Simplify 2 into 2 1539348212.535 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.535 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.535 * [misc]backup-simplify: Simplify PI into PI 1539348212.535 * [misc]taylor: Taking taylor expansion of n in n 1539348212.535 * [misc]backup-simplify: Simplify 0 into 0 1539348212.535 * [misc]backup-simplify: Simplify 1 into 1 1539348212.536 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.536 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.536 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.536 * [misc]taylor: Taking taylor expansion of k in n 1539348212.536 * [misc]backup-simplify: Simplify k into k 1539348212.537 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.538 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.538 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348212.539 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348212.539 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.539 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1539348212.539 * [misc]taylor: Taking taylor expansion of n in n 1539348212.539 * [misc]backup-simplify: Simplify 0 into 0 1539348212.539 * [misc]backup-simplify: Simplify 1 into 1 1539348212.539 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n 1539348212.540 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.540 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.540 * [misc]backup-simplify: Simplify 2 into 2 1539348212.540 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.540 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.540 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1539348212.540 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.540 * [misc]backup-simplify: Simplify PI into PI 1539348212.540 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.540 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.541 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.541 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348212.542 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1539348212.542 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1539348212.544 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) 1539348212.545 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.546 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.551 * [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 1539348212.552 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348212.553 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1539348212.555 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1539348212.556 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0 1539348212.556 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1539348212.559 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1539348212.560 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into 0 1539348212.560 * [misc]backup-simplify: Simplify (- 0) into 0 1539348212.560 * [misc]backup-simplify: Simplify 0 into 0 1539348212.560 * [misc]backup-simplify: Simplify 0 into 0 1539348212.561 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1539348212.562 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1539348212.564 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (pow n 2) (pow PI 2))) 2) (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (pow n 4) (pow PI 4))) 1539348212.565 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348212.566 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348212.568 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) (* (sqrt 2) (pow PI 4))))) 1539348212.568 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) (* (sqrt 2) (pow PI 4))))) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) (* (sqrt 2) (pow PI 4)))) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.568 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.568 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) (* (sqrt 2) (pow PI 4))) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 4)) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.568 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.568 * [misc]backup-simplify: Simplify 2 into 2 1539348212.568 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.568 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.568 * [misc]backup-simplify: Simplify PI into PI 1539348212.568 * [misc]taylor: Taking taylor expansion of n in n 1539348212.568 * [misc]backup-simplify: Simplify 0 into 0 1539348212.568 * [misc]backup-simplify: Simplify 1 into 1 1539348212.568 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.569 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.569 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.569 * [misc]taylor: Taking taylor expansion of k in n 1539348212.569 * [misc]backup-simplify: Simplify k into k 1539348212.569 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.570 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.570 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348212.570 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348212.571 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.571 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1539348212.571 * [misc]taylor: Taking taylor expansion of n in n 1539348212.571 * [misc]backup-simplify: Simplify 0 into 0 1539348212.571 * [misc]backup-simplify: Simplify 1 into 1 1539348212.571 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 4)) in n 1539348212.571 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.571 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.571 * [misc]backup-simplify: Simplify 2 into 2 1539348212.571 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.571 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.571 * [misc]taylor: Taking taylor expansion of (pow PI 4) in n 1539348212.571 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.571 * [misc]backup-simplify: Simplify PI into PI 1539348212.571 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.572 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.572 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.572 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348212.573 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1539348212.573 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1539348212.574 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 4))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 4))) 1539348212.575 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2)))) into (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2)))) 1539348212.575 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) 1539348212.576 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) 1539348212.577 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.578 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.583 * [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 1539348212.583 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348212.584 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1539348212.586 * [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 1539348212.587 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539348212.587 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348212.588 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.590 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 1539348212.591 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into 0 1539348212.591 * [misc]backup-simplify: Simplify (- 0) into 0 1539348212.591 * [misc]backup-simplify: Simplify 0 into 0 1539348212.591 * [misc]backup-simplify: Simplify 0 into 0 1539348212.592 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1539348212.593 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1539348212.594 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 4) (pow PI 4))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (pow n 5) (pow PI 5))) 1539348212.594 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348212.595 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348212.596 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) (* (sqrt 2) (pow PI 5))))) 1539348212.596 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) (* (sqrt 2) (pow PI 5))))) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) (* (sqrt 2) (pow PI 5)))) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.596 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.596 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) (* (sqrt 2) (pow PI 5))) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 5)) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.596 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.596 * [misc]backup-simplify: Simplify 2 into 2 1539348212.596 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.596 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.596 * [misc]backup-simplify: Simplify PI into PI 1539348212.596 * [misc]taylor: Taking taylor expansion of n in n 1539348212.596 * [misc]backup-simplify: Simplify 0 into 0 1539348212.597 * [misc]backup-simplify: Simplify 1 into 1 1539348212.597 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.597 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.597 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.597 * [misc]taylor: Taking taylor expansion of k in n 1539348212.597 * [misc]backup-simplify: Simplify k into k 1539348212.598 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.598 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.598 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348212.599 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348212.599 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.599 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1539348212.599 * [misc]taylor: Taking taylor expansion of n in n 1539348212.599 * [misc]backup-simplify: Simplify 0 into 0 1539348212.599 * [misc]backup-simplify: Simplify 1 into 1 1539348212.599 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 5)) in n 1539348212.599 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.599 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.599 * [misc]backup-simplify: Simplify 2 into 2 1539348212.599 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.600 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.600 * [misc]taylor: Taking taylor expansion of (pow PI 5) in n 1539348212.600 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.600 * [misc]backup-simplify: Simplify PI into PI 1539348212.600 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.600 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.600 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.601 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.601 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348212.602 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1539348212.602 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1539348212.603 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1539348212.604 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 5))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 5))) 1539348212.604 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539348212.606 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348212.606 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348212.609 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348212.610 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1539348212.610 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1539348212.612 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348212.612 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 1)) into 0 1539348212.613 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1539348212.614 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1539348212.617 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1539348212.619 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into 0 1539348212.619 * [misc]backup-simplify: Simplify (- 0) into 0 1539348212.619 * [misc]backup-simplify: Simplify 0 into 0 1539348212.621 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.623 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348212.636 * [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 1539348212.637 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348212.638 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1539348212.644 * [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 1539348212.645 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1539348212.645 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348212.647 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.651 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))) (* 0 (/ 0 (* (sqrt 2) PI))))) into 0 1539348212.652 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))))) into 0 1539348212.652 * [misc]backup-simplify: Simplify (- 0) into 0 1539348212.653 * [misc]backup-simplify: Simplify 0 into 0 1539348212.653 * [misc]backup-simplify: Simplify 0 into 0 1539348212.654 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1539348212.656 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1539348212.659 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (pow n 3) (pow PI 3))) 2) (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 5) (pow PI 5))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 4) (pow PI 4))))))) (* 2 0)) into (* +nan.0 (/ (pow n 6) (pow PI 6))) 1539348212.661 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348212.662 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348212.665 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow n 6) (pow PI 6)))) (+ (* 0 (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) (* (sqrt 2) (pow PI 6))))) 1539348212.665 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) (* (sqrt 2) (pow PI 6))))) in n 1539348212.665 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) (* (sqrt 2) (pow PI 6)))) in n 1539348212.665 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.665 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.665 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) (* (sqrt 2) (pow PI 6))) in n 1539348212.665 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (pow n 6)) in n 1539348212.665 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1539348212.665 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1539348212.665 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.665 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1539348212.665 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348212.666 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.666 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.666 * [misc]backup-simplify: Simplify 2 into 2 1539348212.666 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.666 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.666 * [misc]backup-simplify: Simplify PI into PI 1539348212.666 * [misc]taylor: Taking taylor expansion of n in n 1539348212.666 * [misc]backup-simplify: Simplify 0 into 0 1539348212.666 * [misc]backup-simplify: Simplify 1 into 1 1539348212.666 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.666 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.667 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.667 * [misc]taylor: Taking taylor expansion of k in n 1539348212.667 * [misc]backup-simplify: Simplify k into k 1539348212.667 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.668 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.668 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1539348212.668 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348212.669 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.669 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1539348212.669 * [misc]taylor: Taking taylor expansion of n in n 1539348212.669 * [misc]backup-simplify: Simplify 0 into 0 1539348212.669 * [misc]backup-simplify: Simplify 1 into 1 1539348212.669 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 6)) in n 1539348212.669 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.669 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.669 * [misc]backup-simplify: Simplify 2 into 2 1539348212.669 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.669 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.669 * [misc]taylor: Taking taylor expansion of (pow PI 6) in n 1539348212.669 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.669 * [misc]backup-simplify: Simplify PI into PI 1539348212.669 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.669 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.670 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539348212.670 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.670 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348212.670 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1539348212.671 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1539348212.671 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1539348212.672 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 6))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 6))) 1539348212.673 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3)))) into (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3)))) 1539348212.674 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) 1539348212.674 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) 1539348212.677 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) (pow PI 3))))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) (pow PI 2))))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))))))) 1539348212.678 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (- k))) (/ (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2)) (sqrt (* (* 2 (/ 1 (- n))) PI)))) into (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) 1539348212.678 * [misc]approximate: Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) in (k n) around 0 1539348212.678 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) in n 1539348212.678 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1539348212.678 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1539348212.678 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1539348212.678 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1539348212.678 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1539348212.678 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348212.678 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348212.678 * [misc]taylor: Taking taylor expansion of k in n 1539348212.678 * [misc]backup-simplify: Simplify k into k 1539348212.678 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1539348212.678 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348212.678 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.678 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.678 * [misc]backup-simplify: Simplify -2 into -2 1539348212.678 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.678 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.678 * [misc]backup-simplify: Simplify PI into PI 1539348212.678 * [misc]taylor: Taking taylor expansion of n in n 1539348212.678 * [misc]backup-simplify: Simplify 0 into 0 1539348212.678 * [misc]backup-simplify: Simplify 1 into 1 1539348212.678 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.679 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.679 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348212.680 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348212.680 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348212.680 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348212.680 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539348212.680 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539348212.680 * [misc]taylor: Taking taylor expansion of -1 in n 1539348212.680 * [misc]backup-simplify: Simplify -1 into -1 1539348212.680 * [misc]taylor: Taking taylor expansion of k in n 1539348212.680 * [misc]backup-simplify: Simplify k into k 1539348212.680 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539348212.681 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539348212.681 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539348212.681 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539348212.681 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348212.681 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.681 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.681 * [misc]backup-simplify: Simplify -2 into -2 1539348212.681 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.681 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.681 * [misc]backup-simplify: Simplify PI into PI 1539348212.681 * [misc]taylor: Taking taylor expansion of n in n 1539348212.681 * [misc]backup-simplify: Simplify 0 into 0 1539348212.681 * [misc]backup-simplify: Simplify 1 into 1 1539348212.681 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.681 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.681 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.682 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348212.682 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) 1539348212.683 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (* +nan.0 PI)) into (* +nan.0 (/ (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) PI)) 1539348212.683 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) in k 1539348212.683 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1539348212.683 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1539348212.683 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1539348212.683 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1539348212.683 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1539348212.683 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348212.683 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348212.683 * [misc]taylor: Taking taylor expansion of k in k 1539348212.683 * [misc]backup-simplify: Simplify 0 into 0 1539348212.683 * [misc]backup-simplify: Simplify 1 into 1 1539348212.683 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1539348212.683 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539348212.683 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348212.683 * [misc]taylor: Taking taylor expansion of -2 in k 1539348212.683 * [misc]backup-simplify: Simplify -2 into -2 1539348212.683 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348212.683 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.683 * [misc]backup-simplify: Simplify PI into PI 1539348212.683 * [misc]taylor: Taking taylor expansion of n in k 1539348212.683 * [misc]backup-simplify: Simplify n into n 1539348212.683 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348212.683 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348212.683 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539348212.683 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1539348212.684 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1539348212.684 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539348212.684 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539348212.684 * [misc]taylor: Taking taylor expansion of -1 in k 1539348212.684 * [misc]backup-simplify: Simplify -1 into -1 1539348212.684 * [misc]taylor: Taking taylor expansion of k in k 1539348212.684 * [misc]backup-simplify: Simplify 0 into 0 1539348212.684 * [misc]backup-simplify: Simplify 1 into 1 1539348212.684 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539348212.684 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.684 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539348212.684 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1539348212.684 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348212.684 * [misc]taylor: Taking taylor expansion of -2 in k 1539348212.684 * [misc]backup-simplify: Simplify -2 into -2 1539348212.684 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348212.684 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.684 * [misc]backup-simplify: Simplify PI into PI 1539348212.684 * [misc]taylor: Taking taylor expansion of n in k 1539348212.684 * [misc]backup-simplify: Simplify n into n 1539348212.684 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348212.684 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348212.684 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1539348212.685 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1539348212.685 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1539348212.685 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1539348212.685 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1539348212.685 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1539348212.685 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (sqrt (* -2 (/ PI n)))) into (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) 1539348212.685 * [misc]taylor: Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) (sqrt (* -2 (/ PI n)))) in k 1539348212.685 * [misc]taylor: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1539348212.685 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1539348212.685 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1539348212.685 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1539348212.685 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1539348212.685 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348212.685 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348212.685 * [misc]taylor: Taking taylor expansion of k in k 1539348212.685 * [misc]backup-simplify: Simplify 0 into 0 1539348212.685 * [misc]backup-simplify: Simplify 1 into 1 1539348212.686 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1539348212.686 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539348212.686 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348212.686 * [misc]taylor: Taking taylor expansion of -2 in k 1539348212.686 * [misc]backup-simplify: Simplify -2 into -2 1539348212.686 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348212.686 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.686 * [misc]backup-simplify: Simplify PI into PI 1539348212.686 * [misc]taylor: Taking taylor expansion of n in k 1539348212.686 * [misc]backup-simplify: Simplify n into n 1539348212.686 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348212.686 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348212.686 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539348212.686 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1539348212.686 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1539348212.686 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539348212.686 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539348212.686 * [misc]taylor: Taking taylor expansion of -1 in k 1539348212.686 * [misc]backup-simplify: Simplify -1 into -1 1539348212.686 * [misc]taylor: Taking taylor expansion of k in k 1539348212.686 * [misc]backup-simplify: Simplify 0 into 0 1539348212.686 * [misc]backup-simplify: Simplify 1 into 1 1539348212.686 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539348212.686 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.687 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539348212.687 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1539348212.687 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348212.687 * [misc]taylor: Taking taylor expansion of -2 in k 1539348212.687 * [misc]backup-simplify: Simplify -2 into -2 1539348212.687 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348212.687 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.687 * [misc]backup-simplify: Simplify PI into PI 1539348212.687 * [misc]taylor: Taking taylor expansion of n in k 1539348212.687 * [misc]backup-simplify: Simplify n into n 1539348212.687 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348212.687 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348212.687 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1539348212.687 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1539348212.687 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1539348212.687 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1539348212.687 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0 1539348212.687 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1539348212.688 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (sqrt (* -2 (/ PI n)))) into (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) 1539348212.688 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) in n 1539348212.688 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.688 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.688 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) in n 1539348212.688 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1539348212.688 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1539348212.688 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348212.688 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348212.688 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1539348212.688 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348212.688 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.688 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.688 * [misc]backup-simplify: Simplify -2 into -2 1539348212.688 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.688 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.688 * [misc]backup-simplify: Simplify PI into PI 1539348212.688 * [misc]taylor: Taking taylor expansion of n in n 1539348212.688 * [misc]backup-simplify: Simplify 0 into 0 1539348212.688 * [misc]backup-simplify: Simplify 1 into 1 1539348212.688 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.688 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.689 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348212.689 * [misc]taylor: Taking taylor expansion of k in n 1539348212.689 * [misc]backup-simplify: Simplify k into k 1539348212.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348212.690 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348212.690 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1539348212.690 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348212.691 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348212.691 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348212.691 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.691 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.691 * [misc]backup-simplify: Simplify -2 into -2 1539348212.691 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.691 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.691 * [misc]backup-simplify: Simplify PI into PI 1539348212.691 * [misc]taylor: Taking taylor expansion of n in n 1539348212.691 * [misc]backup-simplify: Simplify 0 into 0 1539348212.691 * [misc]backup-simplify: Simplify 1 into 1 1539348212.691 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.691 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.691 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.692 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348212.692 * [misc]backup-simplify: Simplify (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348212.693 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348212.693 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348212.693 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539348212.694 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539348212.694 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) 1539348212.694 * [misc]backup-simplify: Simplify (- (/ (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) (sqrt (* -2 (/ PI n)))) (+ (* (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) (/ 0 (sqrt (* -2 (/ PI n))))))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))))) 1539348212.694 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))))) in n 1539348212.694 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n))))) in n 1539348212.694 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539348212.694 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.695 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) in n 1539348212.695 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1539348212.695 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1539348212.695 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348212.695 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348212.695 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1539348212.695 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348212.695 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.695 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.695 * [misc]backup-simplify: Simplify -2 into -2 1539348212.695 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.695 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.695 * [misc]backup-simplify: Simplify PI into PI 1539348212.695 * [misc]taylor: Taking taylor expansion of n in n 1539348212.695 * [misc]backup-simplify: Simplify 0 into 0 1539348212.695 * [misc]backup-simplify: Simplify 1 into 1 1539348212.695 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.695 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.695 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348212.695 * [misc]taylor: Taking taylor expansion of k in n 1539348212.695 * [misc]backup-simplify: Simplify k into k 1539348212.696 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348212.696 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348212.697 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1539348212.697 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348212.697 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348212.697 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348212.697 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.697 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.697 * [misc]backup-simplify: Simplify -2 into -2 1539348212.697 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.697 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.697 * [misc]backup-simplify: Simplify PI into PI 1539348212.697 * [misc]taylor: Taking taylor expansion of n in n 1539348212.697 * [misc]backup-simplify: Simplify 0 into 0 1539348212.697 * [misc]backup-simplify: Simplify 1 into 1 1539348212.698 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.698 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.698 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.698 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348212.699 * [misc]backup-simplify: Simplify (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348212.699 * [misc]backup-simplify: Simplify (* +nan.0 (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348212.700 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1539348212.700 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1539348212.701 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348212.701 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348212.703 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539348212.703 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1539348212.704 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1539348212.704 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348212.705 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348212.705 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348212.706 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348212.708 * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 PI)) (+ (* (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) (/ (* +nan.0 (pow PI 2)) (* +nan.0 PI))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1539348212.708 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (* 0 (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1539348212.709 * [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))))) 1539348212.710 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI))) (* 1 (/ 1 (- k)))) (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI)))) 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))) n))))))) 1539348212.710 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1) 1539348212.711 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1539348212.711 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1539348212.711 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.711 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.711 * [misc]backup-simplify: Simplify 2 into 2 1539348212.711 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.711 * [misc]taylor: Taking taylor expansion of n in n 1539348212.711 * [misc]backup-simplify: Simplify 0 into 0 1539348212.711 * [misc]backup-simplify: Simplify 1 into 1 1539348212.711 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.711 * [misc]backup-simplify: Simplify PI into PI 1539348212.711 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.711 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.711 * [misc]backup-simplify: Simplify 2 into 2 1539348212.711 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.711 * [misc]taylor: Taking taylor expansion of n in n 1539348212.711 * [misc]backup-simplify: Simplify 0 into 0 1539348212.711 * [misc]backup-simplify: Simplify 1 into 1 1539348212.711 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.711 * [misc]backup-simplify: Simplify PI into PI 1539348212.711 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.711 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348212.711 * [misc]backup-simplify: Simplify 0 into 0 1539348212.712 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.712 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348212.712 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.713 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348212.713 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348212.714 * [misc]backup-simplify: Simplify 0 into 0 1539348212.714 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.715 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348212.715 * [misc]backup-simplify: Simplify 0 into 0 1539348212.716 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348212.718 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539348212.718 * [misc]backup-simplify: Simplify 0 into 0 1539348212.719 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348212.721 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1539348212.721 * [misc]backup-simplify: Simplify 0 into 0 1539348212.723 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348212.725 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1539348212.725 * [misc]backup-simplify: Simplify 0 into 0 1539348212.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1539348212.729 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1539348212.729 * [misc]backup-simplify: Simplify 0 into 0 1539348212.729 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1539348212.730 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1539348212.730 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1539348212.730 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.730 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.730 * [misc]backup-simplify: Simplify 2 into 2 1539348212.730 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.730 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.730 * [misc]backup-simplify: Simplify PI into PI 1539348212.730 * [misc]taylor: Taking taylor expansion of n in n 1539348212.730 * [misc]backup-simplify: Simplify 0 into 0 1539348212.730 * [misc]backup-simplify: Simplify 1 into 1 1539348212.730 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.730 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.730 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.730 * [misc]backup-simplify: Simplify 2 into 2 1539348212.730 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.730 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.730 * [misc]backup-simplify: Simplify PI into PI 1539348212.730 * [misc]taylor: Taking taylor expansion of n in n 1539348212.730 * [misc]backup-simplify: Simplify 0 into 0 1539348212.730 * [misc]backup-simplify: Simplify 1 into 1 1539348212.730 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.731 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.731 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.731 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348212.732 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348212.732 * [misc]backup-simplify: Simplify 0 into 0 1539348212.733 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.733 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.733 * [misc]backup-simplify: Simplify 0 into 0 1539348212.734 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.735 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.735 * [misc]backup-simplify: Simplify 0 into 0 1539348212.737 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.739 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348212.739 * [misc]backup-simplify: Simplify 0 into 0 1539348212.741 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.744 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348212.744 * [misc]backup-simplify: Simplify 0 into 0 1539348212.746 * [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 1539348212.749 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348212.750 * [misc]backup-simplify: Simplify 0 into 0 1539348212.750 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1539348212.750 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1539348212.750 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1539348212.750 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.750 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.750 * [misc]backup-simplify: Simplify -2 into -2 1539348212.750 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.750 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.750 * [misc]backup-simplify: Simplify PI into PI 1539348212.750 * [misc]taylor: Taking taylor expansion of n in n 1539348212.750 * [misc]backup-simplify: Simplify 0 into 0 1539348212.750 * [misc]backup-simplify: Simplify 1 into 1 1539348212.751 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.751 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.751 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.751 * [misc]backup-simplify: Simplify -2 into -2 1539348212.751 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.751 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.751 * [misc]backup-simplify: Simplify PI into PI 1539348212.751 * [misc]taylor: Taking taylor expansion of n in n 1539348212.751 * [misc]backup-simplify: Simplify 0 into 0 1539348212.751 * [misc]backup-simplify: Simplify 1 into 1 1539348212.751 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.752 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.752 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.753 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348212.754 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348212.754 * [misc]backup-simplify: Simplify 0 into 0 1539348212.755 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.756 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.756 * [misc]backup-simplify: Simplify 0 into 0 1539348212.758 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.759 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.759 * [misc]backup-simplify: Simplify 0 into 0 1539348212.761 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.763 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348212.764 * [misc]backup-simplify: Simplify 0 into 0 1539348212.766 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.768 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348212.769 * [misc]backup-simplify: Simplify 0 into 0 1539348212.771 * [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 1539348212.775 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348212.776 * [misc]backup-simplify: Simplify 0 into 0 1539348212.776 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1539348212.776 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 2 1) 1539348212.776 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1539348212.776 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1539348212.776 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.776 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.776 * [misc]backup-simplify: Simplify 2 into 2 1539348212.776 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.776 * [misc]taylor: Taking taylor expansion of n in n 1539348212.776 * [misc]backup-simplify: Simplify 0 into 0 1539348212.776 * [misc]backup-simplify: Simplify 1 into 1 1539348212.776 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.776 * [misc]backup-simplify: Simplify PI into PI 1539348212.776 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.777 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.777 * [misc]backup-simplify: Simplify 2 into 2 1539348212.777 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.777 * [misc]taylor: Taking taylor expansion of n in n 1539348212.777 * [misc]backup-simplify: Simplify 0 into 0 1539348212.777 * [misc]backup-simplify: Simplify 1 into 1 1539348212.777 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.777 * [misc]backup-simplify: Simplify PI into PI 1539348212.777 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.777 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348212.777 * [misc]backup-simplify: Simplify 0 into 0 1539348212.778 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.779 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348212.779 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.780 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348212.781 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348212.781 * [misc]backup-simplify: Simplify 0 into 0 1539348212.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.785 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348212.785 * [misc]backup-simplify: Simplify 0 into 0 1539348212.787 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348212.789 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539348212.789 * [misc]backup-simplify: Simplify 0 into 0 1539348212.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348212.795 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1539348212.795 * [misc]backup-simplify: Simplify 0 into 0 1539348212.798 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348212.802 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1539348212.802 * [misc]backup-simplify: Simplify 0 into 0 1539348212.806 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1539348212.810 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1539348212.810 * [misc]backup-simplify: Simplify 0 into 0 1539348212.810 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1539348212.811 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1539348212.811 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1539348212.811 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.811 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.811 * [misc]backup-simplify: Simplify 2 into 2 1539348212.811 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.811 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.811 * [misc]backup-simplify: Simplify PI into PI 1539348212.811 * [misc]taylor: Taking taylor expansion of n in n 1539348212.811 * [misc]backup-simplify: Simplify 0 into 0 1539348212.811 * [misc]backup-simplify: Simplify 1 into 1 1539348212.811 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.811 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.811 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.811 * [misc]backup-simplify: Simplify 2 into 2 1539348212.812 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.812 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.812 * [misc]backup-simplify: Simplify PI into PI 1539348212.812 * [misc]taylor: Taking taylor expansion of n in n 1539348212.812 * [misc]backup-simplify: Simplify 0 into 0 1539348212.812 * [misc]backup-simplify: Simplify 1 into 1 1539348212.812 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.812 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.812 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.814 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348212.814 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348212.814 * [misc]backup-simplify: Simplify 0 into 0 1539348212.816 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.817 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.817 * [misc]backup-simplify: Simplify 0 into 0 1539348212.818 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.820 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.820 * [misc]backup-simplify: Simplify 0 into 0 1539348212.822 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.824 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348212.824 * [misc]backup-simplify: Simplify 0 into 0 1539348212.826 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.829 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348212.829 * [misc]backup-simplify: Simplify 0 into 0 1539348212.831 * [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 1539348212.835 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348212.835 * [misc]backup-simplify: Simplify 0 into 0 1539348212.836 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1539348212.836 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1539348212.836 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1539348212.836 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.836 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.836 * [misc]backup-simplify: Simplify -2 into -2 1539348212.836 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.836 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.836 * [misc]backup-simplify: Simplify PI into PI 1539348212.836 * [misc]taylor: Taking taylor expansion of n in n 1539348212.836 * [misc]backup-simplify: Simplify 0 into 0 1539348212.836 * [misc]backup-simplify: Simplify 1 into 1 1539348212.836 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.837 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348212.837 * [misc]taylor: Taking taylor expansion of -2 in n 1539348212.837 * [misc]backup-simplify: Simplify -2 into -2 1539348212.837 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.837 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.837 * [misc]backup-simplify: Simplify PI into PI 1539348212.837 * [misc]taylor: Taking taylor expansion of n in n 1539348212.837 * [misc]backup-simplify: Simplify 0 into 0 1539348212.837 * [misc]backup-simplify: Simplify 1 into 1 1539348212.837 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.837 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.838 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348212.839 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348212.839 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348212.839 * [misc]backup-simplify: Simplify 0 into 0 1539348212.841 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.842 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.842 * [misc]backup-simplify: Simplify 0 into 0 1539348212.843 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.845 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.845 * [misc]backup-simplify: Simplify 0 into 0 1539348212.847 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.849 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539348212.849 * [misc]backup-simplify: Simplify 0 into 0 1539348212.851 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.854 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539348212.854 * [misc]backup-simplify: Simplify 0 into 0 1539348212.856 * [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 1539348212.860 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539348212.860 * [misc]backup-simplify: Simplify 0 into 0 1539348212.860 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1539348212.860 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1539348212.860 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) into (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1539348212.860 * [misc]approximate: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ 1 (* n PI)))) in (n k) around 0 1539348212.860 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ 1 (* n PI)))) in k 1539348212.860 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in k 1539348212.861 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1539348212.861 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1539348212.861 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1539348212.861 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539348212.861 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.861 * [misc]taylor: Taking taylor expansion of k in k 1539348212.861 * [misc]backup-simplify: Simplify 0 into 0 1539348212.861 * [misc]backup-simplify: Simplify 1 into 1 1539348212.861 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539348212.861 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539348212.861 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.861 * [misc]backup-simplify: Simplify 2 into 2 1539348212.861 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348212.861 * [misc]taylor: Taking taylor expansion of n in k 1539348212.861 * [misc]backup-simplify: Simplify n into n 1539348212.861 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.861 * [misc]backup-simplify: Simplify PI into PI 1539348212.861 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348212.861 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539348212.861 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539348212.861 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348212.861 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1539348212.862 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539348212.862 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1539348212.863 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1539348212.863 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539348212.864 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI)))) 1539348212.864 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348212.864 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348212.864 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.864 * [misc]backup-simplify: Simplify 2 into 2 1539348212.864 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.864 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.864 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1539348212.864 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in k 1539348212.864 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in k 1539348212.865 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539348212.865 * [misc]taylor: Taking taylor expansion of n in k 1539348212.865 * [misc]backup-simplify: Simplify n into n 1539348212.865 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.865 * [misc]backup-simplify: Simplify PI into PI 1539348212.865 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539348212.865 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1539348212.865 * [misc]backup-simplify: Simplify (sqrt (/ 1 (* n PI))) into (sqrt (/ 1 (* n PI))) 1539348212.865 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539348212.865 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))))) into 0 1539348212.865 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (* n PI))))) into 0 1539348212.866 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1539348212.866 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in n 1539348212.866 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1539348212.866 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1539348212.866 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1539348212.866 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348212.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.866 * [misc]taylor: Taking taylor expansion of k in n 1539348212.866 * [misc]backup-simplify: Simplify k into k 1539348212.866 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348212.866 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.866 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.866 * [misc]backup-simplify: Simplify 2 into 2 1539348212.866 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.866 * [misc]taylor: Taking taylor expansion of n in n 1539348212.866 * [misc]backup-simplify: Simplify 0 into 0 1539348212.866 * [misc]backup-simplify: Simplify 1 into 1 1539348212.866 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.866 * [misc]backup-simplify: Simplify PI into PI 1539348212.866 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.867 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348212.867 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.868 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348212.868 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.868 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348212.869 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.870 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1539348212.870 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1539348212.870 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.870 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.870 * [misc]backup-simplify: Simplify 2 into 2 1539348212.870 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.871 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.871 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) into (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) 1539348212.871 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1539348212.872 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1539348212.872 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.872 * [misc]taylor: Taking taylor expansion of n in n 1539348212.872 * [misc]backup-simplify: Simplify 0 into 0 1539348212.872 * [misc]backup-simplify: Simplify 1 into 1 1539348212.872 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.872 * [misc]backup-simplify: Simplify PI into PI 1539348212.872 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.873 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.873 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539348212.873 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.874 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539348212.874 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1539348212.874 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in n 1539348212.874 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1539348212.874 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1539348212.874 * [misc]taylor: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1539348212.874 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539348212.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.874 * [misc]taylor: Taking taylor expansion of k in n 1539348212.874 * [misc]backup-simplify: Simplify k into k 1539348212.874 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539348212.874 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539348212.874 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.874 * [misc]backup-simplify: Simplify 2 into 2 1539348212.874 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.874 * [misc]taylor: Taking taylor expansion of n in n 1539348212.874 * [misc]backup-simplify: Simplify 0 into 0 1539348212.874 * [misc]backup-simplify: Simplify 1 into 1 1539348212.874 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.874 * [misc]backup-simplify: Simplify PI into PI 1539348212.874 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.875 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539348212.875 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.876 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539348212.876 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.876 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539348212.877 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.878 * [misc]backup-simplify: Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) 1539348212.878 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) 1539348212.878 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.878 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.878 * [misc]backup-simplify: Simplify 2 into 2 1539348212.878 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.879 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.879 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) into (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) 1539348212.879 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1539348212.879 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1539348212.879 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539348212.879 * [misc]taylor: Taking taylor expansion of n in n 1539348212.879 * [misc]backup-simplify: Simplify 0 into 0 1539348212.879 * [misc]backup-simplify: Simplify 1 into 1 1539348212.880 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.880 * [misc]backup-simplify: Simplify PI into PI 1539348212.880 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539348212.880 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539348212.881 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539348212.881 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.881 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539348212.882 * [misc]backup-simplify: Simplify (* (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) 0) into 0 1539348212.882 * [misc]taylor: Taking taylor expansion of 0 in k 1539348212.882 * [misc]backup-simplify: Simplify 0 into 0 1539348212.882 * [misc]backup-simplify: Simplify 0 into 0 1539348212.883 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348212.884 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539348212.887 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348212.887 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1539348212.888 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.889 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1539348212.890 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348212.891 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1539348212.892 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (* PI (sqrt 2))))) 1539348212.893 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (* PI (sqrt 2))))) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (* PI (sqrt 2)))) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348212.893 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.893 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (* PI (sqrt 2))) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.893 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of n in k 1539348212.893 * [misc]backup-simplify: Simplify n into n 1539348212.893 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348212.893 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348212.893 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.893 * [misc]backup-simplify: Simplify 2 into 2 1539348212.893 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.893 * [misc]backup-simplify: Simplify PI into PI 1539348212.893 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.894 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.894 * [misc]taylor: Taking taylor expansion of k in k 1539348212.894 * [misc]backup-simplify: Simplify 0 into 0 1539348212.894 * [misc]backup-simplify: Simplify 1 into 1 1539348212.895 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.895 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1539348212.895 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348212.896 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539348212.897 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348212.899 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348212.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348212.900 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1539348212.901 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1539348212.901 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348212.901 * [misc]taylor: Taking taylor expansion of (* PI (sqrt 2)) in k 1539348212.901 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.901 * [misc]backup-simplify: Simplify PI into PI 1539348212.901 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348212.901 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.901 * [misc]backup-simplify: Simplify 2 into 2 1539348212.901 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.901 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.902 * [misc]backup-simplify: Simplify (* PI (sqrt 2)) into (* (sqrt 2) PI) 1539348212.903 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) 1539348212.904 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) PI))) into (/ +nan.0 (* (sqrt 2) PI)) 1539348212.905 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539348212.906 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539348212.906 * [misc]backup-simplify: Simplify 0 into 0 1539348212.907 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539348212.909 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1539348212.910 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1539348212.912 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348212.913 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539348212.918 * [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 1539348212.918 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1539348212.919 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.920 * [misc]backup-simplify: Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539348212.922 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1539348212.923 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348212.924 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348212.925 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (* (pow PI 2) (sqrt 2))))) 1539348212.925 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (* (pow PI 2) (sqrt 2))))) in k 1539348212.925 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (* (pow PI 2) (sqrt 2)))) in k 1539348212.925 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348212.925 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.925 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (* (pow PI 2) (sqrt 2))) in k 1539348212.926 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1539348212.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1539348212.926 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.926 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1539348212.926 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1539348212.926 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348212.926 * [misc]taylor: Taking taylor expansion of n in k 1539348212.926 * [misc]backup-simplify: Simplify n into n 1539348212.926 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348212.926 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348212.926 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348212.926 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.926 * [misc]backup-simplify: Simplify 2 into 2 1539348212.926 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.926 * [misc]backup-simplify: Simplify PI into PI 1539348212.926 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.926 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.926 * [misc]taylor: Taking taylor expansion of k in k 1539348212.926 * [misc]backup-simplify: Simplify 0 into 0 1539348212.926 * [misc]backup-simplify: Simplify 1 into 1 1539348212.927 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539348212.927 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1539348212.927 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539348212.927 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539348212.928 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348212.930 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348212.930 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539348212.931 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1539348212.931 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1539348212.931 * [misc]backup-simplify: Simplify (exp 0) into 1 1539348212.931 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (sqrt 2)) in k 1539348212.931 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1539348212.931 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.931 * [misc]backup-simplify: Simplify PI into PI 1539348212.931 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348212.931 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.931 * [misc]backup-simplify: Simplify 2 into 2 1539348212.931 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.932 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.932 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348212.932 * [misc]backup-simplify: Simplify (* (pow PI 2) (sqrt 2)) into (* (sqrt 2) (pow PI 2)) 1539348212.933 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 2))) into (/ 1 (* (sqrt 2) (pow PI 2))) 1539348212.934 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))) into (/ +nan.0 (* (sqrt 2) (pow PI 2))) 1539348212.934 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1539348212.936 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1539348212.936 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1539348212.937 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (sqrt 2))) into 0 1539348212.939 * [misc]backup-simplify: Simplify (- (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (* (sqrt 2) PI)) (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into (+ (* 1/2 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (* 1/2 (/ (log n) (* (sqrt 2) PI)))) 1539348212.941 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* 1/2 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (* 1/2 (/ (log n) (* (sqrt 2) PI))))) (* 0 (/ 1 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348212.942 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348212.943 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539348212.947 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) (* k 1)) (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) (* 1 n)) (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (/ (* (log n) k) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ n (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (* k (log (* 2 PI))) (* (sqrt 2) PI)))))))))) 1539348212.947 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2)) (sqrt (* (* 2 (/ 1 n)) PI))) into (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n PI))) 1539348212.947 * [misc]approximate: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n PI))) in (n k) around 0 1539348212.947 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n PI))) in k 1539348212.947 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in k 1539348212.947 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1539348212.947 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1539348212.947 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1539348212.947 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in k 1539348212.947 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.947 * [misc]taylor: Taking taylor expansion of k in k 1539348212.947 * [misc]backup-simplify: Simplify 0 into 0 1539348212.947 * [misc]backup-simplify: Simplify 1 into 1 1539348212.947 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 1539348212.947 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539348212.947 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539348212.947 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.947 * [misc]backup-simplify: Simplify 2 into 2 1539348212.947 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348212.947 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.947 * [misc]backup-simplify: Simplify PI into PI 1539348212.947 * [misc]taylor: Taking taylor expansion of n in k 1539348212.947 * [misc]backup-simplify: Simplify n into n 1539348212.947 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348212.947 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539348212.947 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539348212.947 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n)))) 1539348212.948 * [misc]backup-simplify: Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) 1539348212.948 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348212.948 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.948 * [misc]backup-simplify: Simplify 2 into 2 1539348212.948 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.948 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.948 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) into (/ (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1539348212.948 * [misc]taylor: Taking taylor expansion of (sqrt (/ n PI)) in k 1539348212.948 * [misc]taylor: Taking taylor expansion of (/ n PI) in k 1539348212.948 * [misc]taylor: Taking taylor expansion of n in k 1539348212.948 * [misc]backup-simplify: Simplify n into n 1539348212.948 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.948 * [misc]backup-simplify: Simplify PI into PI 1539348212.948 * [misc]backup-simplify: Simplify (/ n PI) into (/ n PI) 1539348212.948 * [misc]backup-simplify: Simplify (sqrt (/ n PI)) into (sqrt (/ n PI)) 1539348212.949 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)))) into 0 1539348212.949 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ n PI)))) into 0 1539348212.949 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n PI))) in n 1539348212.949 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in n 1539348212.949 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1539348212.949 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1539348212.949 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1539348212.949 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1539348212.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.949 * [misc]taylor: Taking taylor expansion of k in n 1539348212.949 * [misc]backup-simplify: Simplify k into k 1539348212.949 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1539348212.949 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348212.949 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.949 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.949 * [misc]backup-simplify: Simplify 2 into 2 1539348212.949 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.949 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.949 * [misc]backup-simplify: Simplify PI into PI 1539348212.949 * [misc]taylor: Taking taylor expansion of n in n 1539348212.949 * [misc]backup-simplify: Simplify 0 into 0 1539348212.949 * [misc]backup-simplify: Simplify 1 into 1 1539348212.949 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.949 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.950 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.950 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.950 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348212.951 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.951 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.951 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.951 * [misc]backup-simplify: Simplify 2 into 2 1539348212.951 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.951 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.952 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1539348212.952 * [misc]taylor: Taking taylor expansion of (sqrt (/ n PI)) in n 1539348212.952 * [misc]taylor: Taking taylor expansion of (/ n PI) in n 1539348212.952 * [misc]taylor: Taking taylor expansion of n in n 1539348212.952 * [misc]backup-simplify: Simplify 0 into 0 1539348212.952 * [misc]backup-simplify: Simplify 1 into 1 1539348212.952 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.952 * [misc]backup-simplify: Simplify PI into PI 1539348212.952 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539348212.952 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.953 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539348212.953 * [misc]taylor: Taking taylor expansion of (* (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) (sqrt (/ n PI))) in n 1539348212.953 * [misc]taylor: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in n 1539348212.953 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1539348212.953 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1539348212.953 * [misc]taylor: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1539348212.953 * [misc]taylor: Taking taylor expansion of (/ 1/2 k) in n 1539348212.953 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539348212.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.953 * [misc]taylor: Taking taylor expansion of k in n 1539348212.953 * [misc]backup-simplify: Simplify k into k 1539348212.954 * [misc]backup-simplify: Simplify (/ 1/2 k) into (/ 1/2 k) 1539348212.954 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539348212.954 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539348212.954 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.954 * [misc]backup-simplify: Simplify 2 into 2 1539348212.954 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348212.954 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.954 * [misc]backup-simplify: Simplify PI into PI 1539348212.954 * [misc]taylor: Taking taylor expansion of n in n 1539348212.954 * [misc]backup-simplify: Simplify 0 into 0 1539348212.954 * [misc]backup-simplify: Simplify 1 into 1 1539348212.954 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348212.954 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.955 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.955 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.956 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1539348212.957 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.957 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539348212.957 * [misc]taylor: Taking taylor expansion of 2 in n 1539348212.957 * [misc]backup-simplify: Simplify 2 into 2 1539348212.957 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.957 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.958 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 1539348212.958 * [misc]taylor: Taking taylor expansion of (sqrt (/ n PI)) in n 1539348212.958 * [misc]taylor: Taking taylor expansion of (/ n PI) in n 1539348212.958 * [misc]taylor: Taking taylor expansion of n in n 1539348212.958 * [misc]backup-simplify: Simplify 0 into 0 1539348212.958 * [misc]backup-simplify: Simplify 1 into 1 1539348212.958 * [misc]taylor: Taking taylor expansion of PI in n 1539348212.958 * [misc]backup-simplify: Simplify PI into PI 1539348212.958 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539348212.958 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348212.959 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539348212.960 * [misc]backup-simplify: Simplify (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0 1539348212.960 * [misc]taylor: Taking taylor expansion of 0 in k 1539348212.960 * [misc]backup-simplify: Simplify 0 into 0 1539348212.960 * [misc]backup-simplify: Simplify 0 into 0 1539348212.961 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348212.962 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539348212.965 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539348212.965 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0 1539348212.965 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.966 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1539348212.968 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348212.969 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1539348212.970 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) 1539348212.970 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) in k 1539348212.970 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) in k 1539348212.970 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348212.970 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.970 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) in k 1539348212.970 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1539348212.970 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1539348212.970 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.970 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1539348212.970 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348212.970 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348212.970 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348212.971 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.971 * [misc]backup-simplify: Simplify 2 into 2 1539348212.971 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.971 * [misc]backup-simplify: Simplify PI into PI 1539348212.971 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348212.971 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348212.971 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348212.971 * [misc]taylor: Taking taylor expansion of n in k 1539348212.971 * [misc]backup-simplify: Simplify n into n 1539348212.971 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348212.972 * [misc]taylor: Taking taylor expansion of k in k 1539348212.972 * [misc]backup-simplify: Simplify 0 into 0 1539348212.972 * [misc]backup-simplify: Simplify 1 into 1 1539348212.972 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348212.972 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348212.973 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1539348212.973 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1539348212.974 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348212.974 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in k 1539348212.974 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348212.974 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.974 * [misc]backup-simplify: Simplify 2 into 2 1539348212.974 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348212.974 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348212.974 * [misc]taylor: Taking taylor expansion of PI in k 1539348212.974 * [misc]backup-simplify: Simplify PI into PI 1539348212.975 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1539348212.976 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) 1539348212.977 * [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))) 1539348212.978 * [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)))) 1539348212.979 * [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)))) 1539348212.979 * [misc]backup-simplify: Simplify 0 into 0 1539348212.981 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1539348212.982 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1539348212.984 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348212.985 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348212.990 * [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 1539348212.990 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348212.991 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348212.991 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1539348212.994 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1539348212.995 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539348212.997 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348212.999 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) 1539348212.999 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) in k 1539348212.999 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2)))) in k 1539348212.999 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348212.999 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348212.999 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) in k 1539348212.999 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1539348212.999 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1539348212.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348212.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348212.999 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1539348212.999 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348212.999 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348212.999 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348212.999 * [misc]taylor: Taking taylor expansion of 2 in k 1539348212.999 * [misc]backup-simplify: Simplify 2 into 2 1539348213.000 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.000 * [misc]backup-simplify: Simplify PI into PI 1539348213.000 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348213.000 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348213.000 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348213.000 * [misc]taylor: Taking taylor expansion of n in k 1539348213.000 * [misc]backup-simplify: Simplify n into n 1539348213.000 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348213.000 * [misc]taylor: Taking taylor expansion of k in k 1539348213.001 * [misc]backup-simplify: Simplify 0 into 0 1539348213.001 * [misc]backup-simplify: Simplify 1 into 1 1539348213.001 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348213.001 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348213.002 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1539348213.002 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1539348213.003 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348213.003 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 1539348213.003 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348213.003 * [misc]taylor: Taking taylor expansion of 2 in k 1539348213.003 * [misc]backup-simplify: Simplify 2 into 2 1539348213.003 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348213.003 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348213.003 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1539348213.003 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.004 * [misc]backup-simplify: Simplify PI into PI 1539348213.004 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348213.005 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1539348213.006 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) 1539348213.007 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2)))) into (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2)))) 1539348213.009 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) 1539348213.010 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) 1539348213.011 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1539348213.013 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) PI)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1539348213.014 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into 0 1539348213.015 * [misc]backup-simplify: Simplify (- 0) into 0 1539348213.015 * [misc]backup-simplify: Simplify 0 into 0 1539348213.015 * [misc]backup-simplify: Simplify 0 into 0 1539348213.016 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1539348213.018 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 PI) (/ +nan.0 (pow PI 2)))))) (* 2 0)) into (/ +nan.0 (pow PI 3)) 1539348213.019 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348213.020 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539348213.024 * [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 1539348213.024 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348213.025 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539348213.025 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1539348213.028 * [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 1539348213.028 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1539348213.029 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539348213.031 * [misc]backup-simplify: Simplify (+ (* (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (/ +nan.0 (pow PI 3))) (+ (* 0 (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) 1539348213.031 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3)))) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348213.031 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348213.031 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539348213.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539348213.031 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of 2 in k 1539348213.031 * [misc]backup-simplify: Simplify 2 into 2 1539348213.031 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.031 * [misc]backup-simplify: Simplify PI into PI 1539348213.031 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539348213.031 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539348213.031 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348213.031 * [misc]taylor: Taking taylor expansion of n in k 1539348213.032 * [misc]backup-simplify: Simplify n into n 1539348213.032 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348213.032 * [misc]taylor: Taking taylor expansion of k in k 1539348213.032 * [misc]backup-simplify: Simplify 0 into 0 1539348213.032 * [misc]backup-simplify: Simplify 1 into 1 1539348213.032 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348213.032 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539348213.032 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1539348213.033 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n))) 1539348213.033 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1539348213.033 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in k 1539348213.033 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1539348213.033 * [misc]taylor: Taking taylor expansion of 2 in k 1539348213.033 * [misc]backup-simplify: Simplify 2 into 2 1539348213.033 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539348213.033 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539348213.033 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1539348213.033 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.033 * [misc]backup-simplify: Simplify PI into PI 1539348213.034 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1539348213.034 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1539348213.034 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1539348213.035 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) 1539348213.036 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3)))) into (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3)))) 1539348213.037 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) 1539348213.039 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) 1539348213.043 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) (pow PI 3))))) (pow (* 1 (/ 1 n)) 3)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) (pow PI 2))))) (pow (* 1 (/ 1 n)) 2)) (* (- (* +nan.0 (/ (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* 1 (/ 1 n))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (pow PI 3)))))))))) 1539348213.044 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2)) (sqrt (* (* 2 (/ 1 (- n))) PI))) into (/ (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (* -2 (/ PI n)))) 1539348213.044 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (* -2 (/ PI n)))) in (n k) around 0 1539348213.044 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (* -2 (/ PI n)))) in k 1539348213.044 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1539348213.044 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1539348213.044 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1539348213.044 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in k 1539348213.044 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348213.044 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348213.044 * [misc]taylor: Taking taylor expansion of k in k 1539348213.044 * [misc]backup-simplify: Simplify 0 into 0 1539348213.044 * [misc]backup-simplify: Simplify 1 into 1 1539348213.044 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 1539348213.044 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539348213.044 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348213.044 * [misc]taylor: Taking taylor expansion of -2 in k 1539348213.044 * [misc]backup-simplify: Simplify -2 into -2 1539348213.044 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348213.044 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.044 * [misc]backup-simplify: Simplify PI into PI 1539348213.044 * [misc]taylor: Taking taylor expansion of n in k 1539348213.045 * [misc]backup-simplify: Simplify n into n 1539348213.045 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348213.045 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348213.045 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539348213.045 * [misc]backup-simplify: Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n)))) 1539348213.045 * [misc]backup-simplify: Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 1539348213.045 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1539348213.045 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539348213.045 * [misc]taylor: Taking taylor expansion of -2 in k 1539348213.045 * [misc]backup-simplify: Simplify -2 into -2 1539348213.045 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539348213.046 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.046 * [misc]backup-simplify: Simplify PI into PI 1539348213.046 * [misc]taylor: Taking taylor expansion of n in k 1539348213.046 * [misc]backup-simplify: Simplify n into n 1539348213.046 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539348213.046 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539348213.046 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1539348213.046 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1539348213.046 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1539348213.046 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1539348213.047 * [misc]backup-simplify: Simplify (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) into (/ (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) 1539348213.047 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (* -2 (/ PI n)))) in n 1539348213.047 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1539348213.047 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1539348213.047 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1539348213.047 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1539348213.047 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348213.047 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348213.047 * [misc]taylor: Taking taylor expansion of k in n 1539348213.047 * [misc]backup-simplify: Simplify k into k 1539348213.047 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1539348213.047 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348213.047 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348213.047 * [misc]taylor: Taking taylor expansion of -2 in n 1539348213.047 * [misc]backup-simplify: Simplify -2 into -2 1539348213.047 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348213.047 * [misc]taylor: Taking taylor expansion of PI in n 1539348213.047 * [misc]backup-simplify: Simplify PI into PI 1539348213.047 * [misc]taylor: Taking taylor expansion of n in n 1539348213.047 * [misc]backup-simplify: Simplify 0 into 0 1539348213.047 * [misc]backup-simplify: Simplify 1 into 1 1539348213.048 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348213.048 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348213.048 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348213.049 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348213.050 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348213.050 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348213.050 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348213.050 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348213.050 * [misc]taylor: Taking taylor expansion of -2 in n 1539348213.050 * [misc]backup-simplify: Simplify -2 into -2 1539348213.050 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348213.051 * [misc]taylor: Taking taylor expansion of PI in n 1539348213.051 * [misc]backup-simplify: Simplify PI into PI 1539348213.051 * [misc]taylor: Taking taylor expansion of n in n 1539348213.051 * [misc]backup-simplify: Simplify 0 into 0 1539348213.051 * [misc]backup-simplify: Simplify 1 into 1 1539348213.051 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348213.051 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348213.051 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348213.052 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348213.053 * [misc]backup-simplify: Simplify (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348213.053 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (* -2 (/ PI n)))) in n 1539348213.053 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1539348213.053 * [misc]taylor: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1539348213.053 * [misc]taylor: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1539348213.053 * [misc]taylor: Taking taylor expansion of (/ -1/2 k) in n 1539348213.053 * [misc]taylor: Taking taylor expansion of -1/2 in n 1539348213.053 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348213.053 * [misc]taylor: Taking taylor expansion of k in n 1539348213.053 * [misc]backup-simplify: Simplify k into k 1539348213.053 * [misc]backup-simplify: Simplify (/ -1/2 k) into (/ -1/2 k) 1539348213.053 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539348213.053 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348213.053 * [misc]taylor: Taking taylor expansion of -2 in n 1539348213.053 * [misc]backup-simplify: Simplify -2 into -2 1539348213.053 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348213.053 * [misc]taylor: Taking taylor expansion of PI in n 1539348213.053 * [misc]backup-simplify: Simplify PI into PI 1539348213.053 * [misc]taylor: Taking taylor expansion of n in n 1539348213.053 * [misc]backup-simplify: Simplify 0 into 0 1539348213.053 * [misc]backup-simplify: Simplify 1 into 1 1539348213.054 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348213.054 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348213.054 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348213.055 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348213.056 * [misc]backup-simplify: Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1539348213.056 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348213.056 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1539348213.056 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539348213.056 * [misc]taylor: Taking taylor expansion of -2 in n 1539348213.056 * [misc]backup-simplify: Simplify -2 into -2 1539348213.056 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539348213.056 * [misc]taylor: Taking taylor expansion of PI in n 1539348213.056 * [misc]backup-simplify: Simplify PI into PI 1539348213.056 * [misc]taylor: Taking taylor expansion of n in n 1539348213.056 * [misc]backup-simplify: Simplify 0 into 0 1539348213.057 * [misc]backup-simplify: Simplify 1 into 1 1539348213.057 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539348213.057 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348213.057 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539348213.058 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1539348213.059 * [misc]backup-simplify: Simplify (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348213.059 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) in k 1539348213.059 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348213.059 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348213.059 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI) in k 1539348213.059 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1539348213.059 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1539348213.059 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348213.059 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348213.059 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1539348213.059 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539348213.059 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539348213.059 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539348213.059 * [misc]taylor: Taking taylor expansion of -2 in k 1539348213.059 * [misc]backup-simplify: Simplify -2 into -2 1539348213.059 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.059 * [misc]backup-simplify: Simplify PI into PI 1539348213.059 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348213.060 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348213.060 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348213.060 * [misc]taylor: Taking taylor expansion of n in k 1539348213.060 * [misc]backup-simplify: Simplify n into n 1539348213.060 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348213.060 * [misc]taylor: Taking taylor expansion of k in k 1539348213.060 * [misc]backup-simplify: Simplify 0 into 0 1539348213.060 * [misc]backup-simplify: Simplify 1 into 1 1539348213.060 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348213.061 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539348213.061 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1539348213.062 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1539348213.062 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348213.062 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.062 * [misc]backup-simplify: Simplify PI into PI 1539348213.063 * [misc]backup-simplify: Simplify (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI) into (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI) 1539348213.064 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348213.064 * [misc]backup-simplify: Simplify (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) into (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348213.066 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348213.066 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348213.068 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539348213.068 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0 1539348213.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348213.069 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1539348213.071 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1539348213.072 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539348213.072 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539348213.073 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539348213.074 * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 PI)) (+ (* (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) (/ (* +nan.0 (pow PI 2)) (* +nan.0 PI))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) 1539348213.074 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1539348213.074 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1539348213.074 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348213.074 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348213.074 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1539348213.074 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1539348213.074 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348213.074 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348213.074 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1539348213.074 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539348213.074 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539348213.074 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539348213.074 * [misc]taylor: Taking taylor expansion of -2 in k 1539348213.074 * [misc]backup-simplify: Simplify -2 into -2 1539348213.074 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.074 * [misc]backup-simplify: Simplify PI into PI 1539348213.075 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348213.075 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348213.075 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348213.075 * [misc]taylor: Taking taylor expansion of n in k 1539348213.075 * [misc]backup-simplify: Simplify n into n 1539348213.075 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348213.075 * [misc]taylor: Taking taylor expansion of k in k 1539348213.075 * [misc]backup-simplify: Simplify 0 into 0 1539348213.075 * [misc]backup-simplify: Simplify 1 into 1 1539348213.075 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348213.075 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539348213.076 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1539348213.076 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1539348213.076 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348213.077 * [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)))) 1539348213.077 * [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))))) 1539348213.077 * [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))))) 1539348213.078 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI) (/ 0 PI)))) into 0 1539348213.079 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into 0 1539348213.079 * [misc]backup-simplify: Simplify 0 into 0 1539348213.080 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348213.080 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348213.083 * [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 1539348213.083 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539348213.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539348213.084 * [misc]backup-simplify: Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1539348213.085 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1539348213.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539348213.087 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539348213.088 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1539348213.091 * [misc]backup-simplify: Simplify (- (/ 0 (* +nan.0 PI)) (+ (* (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) (/ (* +nan.0 (pow PI 3)) (* +nan.0 PI))) (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (* +nan.0 (pow PI 2)) (* +nan.0 PI))))) into (- (* +nan.0 (* PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1539348213.091 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) in k 1539348213.091 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1539348213.091 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1539348213.091 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539348213.091 * [misc]taylor: Taking taylor expansion of (* PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1539348213.091 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.091 * [misc]backup-simplify: Simplify PI into PI 1539348213.091 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1539348213.091 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1539348213.091 * [misc]taylor: Taking taylor expansion of -1/2 in k 1539348213.091 * [misc]backup-simplify: Simplify -1/2 into -1/2 1539348213.091 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1539348213.091 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539348213.091 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539348213.091 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539348213.091 * [misc]taylor: Taking taylor expansion of -2 in k 1539348213.091 * [misc]backup-simplify: Simplify -2 into -2 1539348213.091 * [misc]taylor: Taking taylor expansion of PI in k 1539348213.091 * [misc]backup-simplify: Simplify PI into PI 1539348213.091 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539348213.092 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539348213.092 * [misc]taylor: Taking taylor expansion of (log n) in k 1539348213.092 * [misc]taylor: Taking taylor expansion of n in k 1539348213.092 * [misc]backup-simplify: Simplify n into n 1539348213.092 * [misc]backup-simplify: Simplify (log n) into (log n) 1539348213.092 * [misc]taylor: Taking taylor expansion of k in k 1539348213.092 * [misc]backup-simplify: Simplify 0 into 0 1539348213.092 * [misc]backup-simplify: Simplify 1 into 1 1539348213.092 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539348213.092 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539348213.092 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1539348213.093 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n))) 1539348213.093 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1539348213.093 * [misc]backup-simplify: Simplify (* PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI) 1539348213.094 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) into (* +nan.0 (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI)) 1539348213.094 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1539348213.095 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) PI))) 1539348213.096 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI))) (pow (* 1 (/ 1 (- n))) 2)) (+ (* (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (/ (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))) PI)))) 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) (pow n 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))))))) 1539348213.096 * * * [misc]progress: simplifying candidates 1539348213.096 * * * * [misc]progress: [ 1 / 115 ] simplifiying candidate # 1539348213.097 * * * * [misc]progress: [ 2 / 115 ] simplifiying candidate # 1539348213.097 * * * * [misc]progress: [ 3 / 115 ] simplifiying candidate # 1539348213.097 * [enter]simplify: Simplifying (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))) 1539348213.097 * * [misc]simplify: iters left: 6 (14 enodes) 1539348213.099 * * [misc]simplify: iters left: 5 (23 enodes) 1539348213.102 * * [misc]simplify: iters left: 4 (31 enodes) 1539348213.106 * * [misc]simplify: iters left: 3 (35 enodes) 1539348213.110 * * [misc]simplify: iters left: 2 (37 enodes) 1539348213.113 * * [misc]simplify: iters left: 1 (38 enodes) 1539348213.117 * [exit]simplify: Simplified to (/ (sqrt k) (/ (sqrt (* n (* 2 PI))) (pow (* n (* 2 PI)) (/ k 2)))) 1539348213.118 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (sqrt k) (/ (sqrt (* n (* 2 PI))) (pow (* n (* 2 PI)) (/ k 2)))) 1))) 1539348213.118 * * * * [misc]progress: [ 4 / 115 ] simplifiying candidate # 1539348213.118 * * * * [misc]progress: [ 5 / 115 ] simplifiying candidate # 1539348213.118 * [enter]simplify: Simplifying (+ (log (sqrt k)) (- (* (log (* PI (* n 2))) (/ k 2)) (log (sqrt (* (* 2 n) PI))))) 1539348213.118 * * [misc]simplify: iters left: 6 (17 enodes) 1539348213.122 * * [misc]simplify: iters left: 5 (34 enodes) 1539348213.133 * * [misc]simplify: iters left: 4 (61 enodes) 1539348213.153 * * [misc]simplify: iters left: 3 (140 enodes) 1539348213.182 * * [misc]simplify: iters left: 2 (314 enodes) 1539348213.328 * [exit]simplify: Simplified to (- (fma (/ k 2) (log (* (* PI n) 2)) (log (sqrt k))) (log (sqrt (* (* PI n) 2)))) 1539348213.328 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (/ k 2) (log (* (* PI n) 2)) (log (sqrt k))) (log (sqrt (* (* PI n) 2))))))) 1539348213.328 * * * * [misc]progress: [ 6 / 115 ] simplifiying candidate # 1539348213.328 * [enter]simplify: Simplifying (+ (log (sqrt k)) (- (* (log (* PI (* n 2))) (/ k 2)) (log (sqrt (* (* 2 n) PI))))) 1539348213.328 * * [misc]simplify: iters left: 6 (17 enodes) 1539348213.331 * * [misc]simplify: iters left: 5 (34 enodes) 1539348213.336 * * [misc]simplify: iters left: 4 (61 enodes) 1539348213.349 * * [misc]simplify: iters left: 3 (140 enodes) 1539348213.380 * * [misc]simplify: iters left: 2 (314 enodes) 1539348213.468 * [exit]simplify: Simplified to (- (fma (/ k 2) (log (* (* PI n) 2)) (log (sqrt k))) (log (sqrt (* (* PI n) 2)))) 1539348213.468 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (/ k 2) (log (* (* PI n) 2)) (log (sqrt k))) (log (sqrt (* (* PI n) 2))))))) 1539348213.468 * * * * [misc]progress: [ 7 / 115 ] simplifiying candidate # 1539348213.468 * [enter]simplify: Simplifying (+ (log (sqrt k)) (- (log (pow (* PI (* n 2)) (/ k 2))) (log (sqrt (* (* 2 n) PI))))) 1539348213.469 * * [misc]simplify: iters left: 6 (17 enodes) 1539348213.471 * * [misc]simplify: iters left: 5 (29 enodes) 1539348213.480 * * [misc]simplify: iters left: 4 (54 enodes) 1539348213.497 * * [misc]simplify: iters left: 3 (116 enodes) 1539348213.555 * * [misc]simplify: iters left: 2 (278 enodes) 1539348213.652 * [exit]simplify: Simplified to (- (fma (log (* (* PI n) 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* (* PI n) 2)))) 1539348213.652 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (log (* (* PI n) 2)) (/ k 2) (log (sqrt k))) (log (sqrt (* (* PI n) 2))))))) 1539348213.652 * * * * [misc]progress: [ 8 / 115 ] simplifiying candidate # 1539348213.652 * [enter]simplify: Simplifying (+ (log (sqrt k)) (log (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))))) 1539348213.653 * * [misc]simplify: iters left: 6 (16 enodes) 1539348213.655 * * [misc]simplify: iters left: 5 (25 enodes) 1539348213.658 * * [misc]simplify: iters left: 4 (37 enodes) 1539348213.664 * * [misc]simplify: iters left: 3 (65 enodes) 1539348213.673 * * [misc]simplify: iters left: 2 (142 enodes) 1539348213.715 * * [misc]simplify: iters left: 1 (378 enodes) 1539348213.918 * [exit]simplify: Simplified to (- (fma (/ k 2) (log (* 2 (* PI n))) (log (sqrt k))) (log (sqrt (* 2 (* PI n))))) 1539348213.918 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (fma (/ k 2) (log (* 2 (* PI n))) (log (sqrt k))) (log (sqrt (* 2 (* PI n)))))))) 1539348213.918 * * * * [misc]progress: [ 9 / 115 ] simplifiying candidate # 1539348213.919 * * * * [misc]progress: [ 10 / 115 ] simplifiying candidate # 1539348213.919 * * * * [misc]progress: [ 11 / 115 ] simplifiying candidate # 1539348213.919 * [enter]simplify: Simplifying (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (/ (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2))) (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))))) 1539348213.919 * * [misc]simplify: iters left: 6 (20 enodes) 1539348213.926 * * [misc]simplify: iters left: 5 (41 enodes) 1539348213.943 * * [misc]simplify: iters left: 4 (163 enodes) 1539348214.103 * [exit]simplify: Simplified to (* (* (/ (pow (* (* n 2) PI) (/ k 2)) (* (* n 2) PI)) (* (pow (* (* n 2) PI) (/ k 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (* k (sqrt k)) (sqrt (* (* n 2) PI)))) 1539348214.103 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (* (/ (pow (* (* n 2) PI) (/ k 2)) (* (* n 2) PI)) (* (pow (* (* n 2) PI) (/ k 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (* k (sqrt k)) (sqrt (* (* n 2) PI))))))) 1539348214.103 * * * * [misc]progress: [ 12 / 115 ] simplifiying candidate # 1539348214.103 * [enter]simplify: Simplifying (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))))) 1539348214.103 * * [misc]simplify: iters left: 6 (18 enodes) 1539348214.110 * * [misc]simplify: iters left: 5 (37 enodes) 1539348214.122 * * [misc]simplify: iters left: 4 (92 enodes) 1539348214.159 * * [misc]simplify: iters left: 3 (232 enodes) 1539348214.318 * [exit]simplify: Simplified to (* (/ (* k (pow (* (* n 2) PI) (/ k 2))) (/ (* (* n 2) PI) (pow (* (* n 2) PI) (/ k 2)))) (* (sqrt k) (/ (pow (* (* n 2) PI) (/ k 2)) (sqrt (* (* n 2) PI))))) 1539348214.318 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (* k (pow (* (* n 2) PI) (/ k 2))) (/ (* (* n 2) PI) (pow (* (* n 2) PI) (/ k 2)))) (* (sqrt k) (/ (pow (* (* n 2) PI) (/ k 2)) (sqrt (* (* n 2) PI)))))))) 1539348214.318 * * * * [misc]progress: [ 13 / 115 ] simplifiying candidate # 1539348214.318 * * * * [misc]progress: [ 14 / 115 ] simplifiying candidate # 1539348214.318 * * * * [misc]progress: [ 15 / 115 ] simplifiying candidate # 1539348214.318 * * * * [misc]progress: [ 16 / 115 ] simplifiying candidate # 1539348214.318 * * * * [misc]progress: [ 17 / 115 ] simplifiying candidate # 1539348214.319 * [enter]simplify: Simplifying (cbrt (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))) 1539348214.319 * * [misc]simplify: iters left: 6 (13 enodes) 1539348214.326 * * [misc]simplify: iters left: 5 (18 enodes) 1539348214.331 * * [misc]simplify: iters left: 4 (22 enodes) 1539348214.338 * * [misc]simplify: iters left: 3 (23 enodes) 1539348214.345 * [exit]simplify: Simplified to (cbrt (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (* PI (* 2 n))))) 1539348214.345 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (* (cbrt (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))) (cbrt (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))))) (cbrt (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (* PI (* 2 n)))))))) 1539348214.345 * * * * [misc]progress: [ 18 / 115 ] simplifiying candidate # 1539348214.345 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))) 1539348214.345 * * [misc]simplify: iters left: 6 (13 enodes) 1539348214.350 * * [misc]simplify: iters left: 5 (18 enodes) 1539348214.355 * * [misc]simplify: iters left: 4 (22 enodes) 1539348214.359 * * [misc]simplify: iters left: 3 (23 enodes) 1539348214.364 * [exit]simplify: Simplified to (sqrt (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (* PI (* 2 n))))) 1539348214.364 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (sqrt (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))))) (sqrt (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (* PI (* 2 n)))))))) 1539348214.364 * * * * [misc]progress: [ 19 / 115 ] simplifiying candidate # 1539348214.364 * [enter]simplify: Simplifying (/ (pow (* n 2) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1539348214.364 * * [misc]simplify: iters left: 6 (12 enodes) 1539348214.368 * * [misc]simplify: iters left: 5 (15 enodes) 1539348214.372 * * [misc]simplify: iters left: 4 (21 enodes) 1539348214.378 * * [misc]simplify: iters left: 3 (22 enodes) 1539348214.383 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ k 2)) (cbrt (sqrt (* n (* 2 PI))))) 1539348214.383 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (pow PI (/ k 2)) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (pow (* n 2) (/ k 2)) (cbrt (sqrt (* n (* 2 PI)))))))) 1539348214.383 * * * * [misc]progress: [ 20 / 115 ] simplifiying candidate # 1539348214.384 * [enter]simplify: Simplifying (/ (pow (* n 2) (/ k 2)) (sqrt PI)) 1539348214.384 * * [misc]simplify: iters left: 5 (9 enodes) 1539348214.385 * * [misc]simplify: iters left: 4 (10 enodes) 1539348214.386 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ k 2)) (sqrt PI)) 1539348214.386 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (pow PI (/ k 2)) (sqrt (* 2 n)))) (/ (pow (* n 2) (/ k 2)) (sqrt PI))))) 1539348214.386 * * * * [misc]progress: [ 21 / 115 ] simplifiying candidate # 1539348214.386 * [enter]simplify: Simplifying (/ (pow (* n 2) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1539348214.386 * * [misc]simplify: iters left: 6 (12 enodes) 1539348214.388 * * [misc]simplify: iters left: 5 (15 enodes) 1539348214.390 * * [misc]simplify: iters left: 4 (21 enodes) 1539348214.393 * * [misc]simplify: iters left: 3 (22 enodes) 1539348214.396 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ k 2)) (sqrt (sqrt (* n (* 2 PI))))) 1539348214.396 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (pow PI (/ k 2)) (sqrt (sqrt (* (* 2 n) PI))))) (/ (pow (* n 2) (/ k 2)) (sqrt (sqrt (* n (* 2 PI)))))))) 1539348214.396 * * * * [misc]progress: [ 22 / 115 ] simplifiying candidate # 1539348214.396 * [enter]simplify: Simplifying (/ (pow (* n 2) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348214.396 * * [misc]simplify: iters left: 6 (11 enodes) 1539348214.398 * * [misc]simplify: iters left: 5 (14 enodes) 1539348214.399 * * [misc]simplify: iters left: 4 (20 enodes) 1539348214.402 * * [misc]simplify: iters left: 3 (22 enodes) 1539348214.405 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ k 2)) (sqrt (* (* PI n) 2))) 1539348214.405 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (pow PI (/ k 2)) 1)) (/ (pow (* n 2) (/ k 2)) (sqrt (* (* PI n) 2)))))) 1539348214.405 * * * * [misc]progress: [ 23 / 115 ] simplifiying candidate # 1539348214.405 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348214.405 * * [misc]simplify: iters left: 6 (14 enodes) 1539348214.407 * * [misc]simplify: iters left: 5 (20 enodes) 1539348214.409 * * [misc]simplify: iters left: 4 (24 enodes) 1539348214.412 * * [misc]simplify: iters left: 3 (25 enodes) 1539348214.415 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348214.415 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))))) 1539348214.415 * * * * [misc]progress: [ 24 / 115 ] simplifiying candidate # 1539348214.415 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt PI)) 1539348214.415 * * [misc]simplify: iters left: 6 (11 enodes) 1539348214.417 * * [misc]simplify: iters left: 5 (15 enodes) 1539348214.419 * * [misc]simplify: iters left: 4 (21 enodes) 1539348214.422 * * [misc]simplify: iters left: 3 (22 enodes) 1539348214.425 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI n) 2) (/ k 2))) (sqrt PI)) 1539348214.425 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (* 2 n)))) (/ (cbrt (pow (* (* PI n) 2) (/ k 2))) (sqrt PI))))) 1539348214.425 * * * * [misc]progress: [ 25 / 115 ] simplifiying candidate # 1539348214.425 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348214.425 * * [misc]simplify: iters left: 6 (14 enodes) 1539348214.427 * * [misc]simplify: iters left: 5 (20 enodes) 1539348214.430 * * [misc]simplify: iters left: 4 (24 enodes) 1539348214.432 * * [misc]simplify: iters left: 3 (25 enodes) 1539348214.435 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348214.435 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI))))))) 1539348214.435 * * * * [misc]progress: [ 26 / 115 ] simplifiying candidate # 1539348214.436 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI))) 1539348214.436 * * [misc]simplify: iters left: 6 (13 enodes) 1539348214.440 * * [misc]simplify: iters left: 5 (19 enodes) 1539348214.445 * * [misc]simplify: iters left: 4 (23 enodes) 1539348214.451 * * [misc]simplify: iters left: 3 (24 enodes) 1539348214.456 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* (* 2 n) PI))) 1539348214.456 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) 1)) (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* (* 2 n) PI)))))) 1539348214.456 * * * * [misc]progress: [ 27 / 115 ] simplifiying candidate # 1539348214.457 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348214.457 * * [misc]simplify: iters left: 6 (14 enodes) 1539348214.461 * * [misc]simplify: iters left: 5 (20 enodes) 1539348214.467 * * [misc]simplify: iters left: 4 (24 enodes) 1539348214.473 * * [misc]simplify: iters left: 3 (25 enodes) 1539348214.479 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348214.479 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))))) 1539348214.479 * * * * [misc]progress: [ 28 / 115 ] simplifiying candidate # 1539348214.479 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt PI)) 1539348214.479 * * [misc]simplify: iters left: 6 (11 enodes) 1539348214.482 * * [misc]simplify: iters left: 5 (15 enodes) 1539348214.487 * * [misc]simplify: iters left: 4 (21 enodes) 1539348214.493 * * [misc]simplify: iters left: 3 (22 enodes) 1539348214.498 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ k 2))) (sqrt PI)) 1539348214.499 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (* 2 n)))) (/ (sqrt (pow (* (* PI n) 2) (/ k 2))) (sqrt PI))))) 1539348214.499 * * * * [misc]progress: [ 29 / 115 ] simplifiying candidate # 1539348214.499 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348214.499 * * [misc]simplify: iters left: 6 (14 enodes) 1539348214.504 * * [misc]simplify: iters left: 5 (20 enodes) 1539348214.509 * * [misc]simplify: iters left: 4 (24 enodes) 1539348214.515 * * [misc]simplify: iters left: 3 (25 enodes) 1539348214.521 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348214.521 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI))))))) 1539348214.521 * * * * [misc]progress: [ 30 / 115 ] simplifiying candidate # 1539348214.521 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI))) 1539348214.521 * * [misc]simplify: iters left: 6 (13 enodes) 1539348214.525 * * [misc]simplify: iters left: 5 (19 enodes) 1539348214.530 * * [misc]simplify: iters left: 4 (23 enodes) 1539348214.536 * * [misc]simplify: iters left: 3 (24 enodes) 1539348214.543 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* (* 2 n) PI))) 1539348214.543 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) 1)) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* (* 2 n) PI)))))) 1539348214.543 * * * * [misc]progress: [ 31 / 115 ] simplifiying candidate # 1539348214.543 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1539348214.543 * * [misc]simplify: iters left: 6 (13 enodes) 1539348214.548 * * [misc]simplify: iters left: 5 (18 enodes) 1539348214.550 * * [misc]simplify: iters left: 4 (22 enodes) 1539348214.553 * * [misc]simplify: iters left: 3 (23 enodes) 1539348214.556 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1539348214.556 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n)))))))) 1539348214.556 * * * * [misc]progress: [ 32 / 115 ] simplifiying candidate # 1539348214.556 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1539348214.556 * * [misc]simplify: iters left: 6 (10 enodes) 1539348214.558 * * [misc]simplify: iters left: 5 (14 enodes) 1539348214.560 * * [misc]simplify: iters left: 4 (20 enodes) 1539348214.562 * * [misc]simplify: iters left: 3 (22 enodes) 1539348214.565 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1539348214.565 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (sqrt (* 2 n)))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI))))) 1539348214.565 * * * * [misc]progress: [ 33 / 115 ] simplifiying candidate # 1539348214.565 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1539348214.566 * * [misc]simplify: iters left: 6 (13 enodes) 1539348214.568 * * [misc]simplify: iters left: 5 (18 enodes) 1539348214.570 * * [misc]simplify: iters left: 4 (22 enodes) 1539348214.573 * * [misc]simplify: iters left: 3 (23 enodes) 1539348214.575 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1539348214.575 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (sqrt (sqrt (* (* 2 n) PI))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n)))))))) 1539348214.575 * * * * [misc]progress: [ 34 / 115 ] simplifiying candidate # 1539348214.576 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348214.576 * * [misc]simplify: iters left: 6 (12 enodes) 1539348214.579 * * [misc]simplify: iters left: 5 (17 enodes) 1539348214.584 * * [misc]simplify: iters left: 4 (21 enodes) 1539348214.589 * * [misc]simplify: iters left: 3 (22 enodes) 1539348214.595 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348214.595 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 1)) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1539348214.595 * * * * [misc]progress: [ 35 / 115 ] simplifiying candidate # 1539348214.595 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348214.596 * * [misc]simplify: iters left: 6 (12 enodes) 1539348214.599 * * [misc]simplify: iters left: 5 (17 enodes) 1539348214.604 * * [misc]simplify: iters left: 4 (21 enodes) 1539348214.610 * * [misc]simplify: iters left: 3 (22 enodes) 1539348214.615 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348214.615 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1539348214.616 * * * * [misc]progress: [ 36 / 115 ] simplifiying candidate # 1539348214.616 * [enter]simplify: Simplifying (/ 1 (sqrt (* (* 2 n) PI))) 1539348214.616 * * [misc]simplify: iters left: 6 (8 enodes) 1539348214.618 * * [misc]simplify: iters left: 5 (14 enodes) 1539348214.622 * * [misc]simplify: iters left: 4 (20 enodes) 1539348214.628 * * [misc]simplify: iters left: 3 (21 enodes) 1539348214.633 * [exit]simplify: Simplified to (/ 1 (sqrt (* (* PI n) 2))) 1539348214.633 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (/ 1 (sqrt (* (* PI n) 2)))))) 1539348214.633 * * * * [misc]progress: [ 37 / 115 ] simplifiying candidate # 1539348214.633 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539348214.633 * * [misc]simplify: iters left: 4 (4 enodes) 1539348214.634 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539348214.634 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))))))) 1539348214.635 * * * * [misc]progress: [ 38 / 115 ] simplifiying candidate # 1539348214.635 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1539348214.635 * * [misc]simplify: iters left: 2 (3 enodes) 1539348214.635 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1539348214.635 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))))))) 1539348214.636 * * * * [misc]progress: [ 39 / 115 ] simplifiying candidate # 1539348214.636 * * * * [misc]progress: [ 40 / 115 ] simplifiying candidate # 1539348214.636 * [enter]simplify: Simplifying (sqrt (* (* 2 n) PI)) 1539348214.636 * * [misc]simplify: iters left: 5 (6 enodes) 1539348214.637 * * [misc]simplify: iters left: 4 (10 enodes) 1539348214.638 * * [misc]simplify: iters left: 3 (16 enodes) 1539348214.640 * * [misc]simplify: iters left: 2 (18 enodes) 1539348214.642 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1539348214.642 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI))))) 1539348214.642 * * * * [misc]progress: [ 41 / 115 ] simplifiying candidate # 1539348214.642 * * * * [misc]progress: [ 42 / 115 ] simplifiying candidate # 1539348214.642 * * * * [misc]progress: [ 43 / 115 ] simplifiying candidate # 1539348214.642 * * * * [misc]progress: [ 44 / 115 ] simplifiying candidate # 1539348214.642 * * * * [misc]progress: [ 45 / 115 ] simplifiying candidate # 1539348214.642 * * * * [misc]progress: [ 46 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 47 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 48 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 49 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 50 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 51 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 52 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 53 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 54 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 55 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 56 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 57 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 58 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 59 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 60 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 61 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 62 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 63 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 64 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 65 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 66 / 115 ] simplifiying candidate # 1539348214.643 * * * * [misc]progress: [ 67 / 115 ] simplifiying candidate # 1539348214.643 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (/ k 2)) (log (sqrt (* (* 2 n) PI)))) 1539348214.644 * * [misc]simplify: iters left: 6 (14 enodes) 1539348214.646 * * [misc]simplify: iters left: 5 (29 enodes) 1539348214.651 * * [misc]simplify: iters left: 4 (50 enodes) 1539348214.661 * * [misc]simplify: iters left: 3 (104 enodes) 1539348214.688 * * [misc]simplify: iters left: 2 (205 enodes) 1539348214.735 * * [misc]simplify: iters left: 1 (338 enodes) 1539348214.825 * [exit]simplify: Simplified to (- (fma (log (* PI 2)) (/ k 2) (* (/ k 2) (log n))) (log (sqrt (* (* 2 n) PI)))) 1539348214.825 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (exp (- (fma (log (* PI 2)) (/ k 2) (* (/ k 2) (log n))) (log (sqrt (* (* 2 n) PI)))))))) 1539348214.825 * * * * [misc]progress: [ 68 / 115 ] simplifiying candidate # 1539348214.826 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (/ k 2)) (log (sqrt (* (* 2 n) PI)))) 1539348214.826 * * [misc]simplify: iters left: 6 (14 enodes) 1539348214.831 * * [misc]simplify: iters left: 5 (29 enodes) 1539348214.840 * * [misc]simplify: iters left: 4 (50 enodes) 1539348214.857 * * [misc]simplify: iters left: 3 (104 enodes) 1539348214.895 * * [misc]simplify: iters left: 2 (205 enodes) 1539348214.957 * * [misc]simplify: iters left: 1 (338 enodes) 1539348215.039 * [exit]simplify: Simplified to (- (fma (log (* PI 2)) (/ k 2) (* (/ k 2) (log n))) (log (sqrt (* (* 2 n) PI)))) 1539348215.039 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (exp (- (fma (log (* PI 2)) (/ k 2) (* (/ k 2) (log n))) (log (sqrt (* (* 2 n) PI)))))))) 1539348215.039 * * * * [misc]progress: [ 69 / 115 ] simplifiying candidate # 1539348215.039 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (/ k 2))) (log (sqrt (* (* 2 n) PI)))) 1539348215.039 * * [misc]simplify: iters left: 6 (14 enodes) 1539348215.044 * * [misc]simplify: iters left: 5 (24 enodes) 1539348215.051 * * [misc]simplify: iters left: 4 (42 enodes) 1539348215.064 * * [misc]simplify: iters left: 3 (88 enodes) 1539348215.094 * * [misc]simplify: iters left: 2 (192 enodes) 1539348215.134 * * [misc]simplify: iters left: 1 (334 enodes) 1539348215.221 * [exit]simplify: Simplified to (- (fma (/ k 2) (log (* 2 n)) (* (log PI) (/ k 2))) (log (sqrt (* (* 2 n) PI)))) 1539348215.221 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (exp (- (fma (/ k 2) (log (* 2 n)) (* (log PI) (/ k 2))) (log (sqrt (* (* 2 n) PI)))))))) 1539348215.221 * * * * [misc]progress: [ 70 / 115 ] simplifiying candidate # 1539348215.221 * * * * [misc]progress: [ 71 / 115 ] simplifiying candidate # 1539348215.221 * * * * [misc]progress: [ 72 / 115 ] simplifiying candidate # 1539348215.221 * [enter]simplify: Simplifying (/ (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2))) (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI)))) 1539348215.221 * * [misc]simplify: iters left: 6 (16 enodes) 1539348215.224 * * [misc]simplify: iters left: 5 (30 enodes) 1539348215.230 * * [misc]simplify: iters left: 4 (105 enodes) 1539348215.274 * * [misc]simplify: iters left: 3 (398 enodes) 1539348215.642 * [exit]simplify: Simplified to (pow (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (* PI (* 2 n)))) 3) 1539348215.643 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (cbrt (pow (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (* PI (* 2 n)))) 3))))) 1539348215.643 * * * * [misc]progress: [ 73 / 115 ] simplifiying candidate # 1539348215.643 * * * * [misc]progress: [ 74 / 115 ] simplifiying candidate # 1539348215.643 * * * * [misc]progress: [ 75 / 115 ] simplifiying candidate # 1539348215.643 * * * * [misc]progress: [ 76 / 115 ] simplifiying candidate # 1539348215.643 * * * * [misc]progress: [ 77 / 115 ] simplifiying candidate # 1539348215.643 * [enter]simplify: Simplifying (/ (pow PI (/ k 2)) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1539348215.643 * * [misc]simplify: iters left: 6 (12 enodes) 1539348215.647 * * [misc]simplify: iters left: 5 (18 enodes) 1539348215.653 * * [misc]simplify: iters left: 4 (24 enodes) 1539348215.659 * * [misc]simplify: iters left: 3 (25 enodes) 1539348215.666 * [exit]simplify: Simplified to (/ (/ (pow PI (/ k 2)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (* n (* PI 2))))) 1539348215.666 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (/ (pow PI (/ k 2)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (* n (* PI 2))))) (/ (pow (* n 2) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))))))) 1539348215.666 * [enter]simplify: Simplifying (/ (pow (* n 2) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1539348215.666 * * [misc]simplify: iters left: 6 (12 enodes) 1539348215.670 * * [misc]simplify: iters left: 5 (15 enodes) 1539348215.674 * * [misc]simplify: iters left: 4 (21 enodes) 1539348215.679 * * [misc]simplify: iters left: 3 (22 enodes) 1539348215.685 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ k 2)) (cbrt (sqrt (* n (* 2 PI))))) 1539348215.685 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (pow PI (/ k 2)) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (pow (* n 2) (/ k 2)) (cbrt (sqrt (* n (* 2 PI))))))))) 1539348215.685 * * * * [misc]progress: [ 78 / 115 ] simplifiying candidate # 1539348215.685 * [enter]simplify: Simplifying (/ (pow PI (/ k 2)) (sqrt (* 2 n))) 1539348215.685 * * [misc]simplify: iters left: 5 (9 enodes) 1539348215.688 * * [misc]simplify: iters left: 4 (10 enodes) 1539348215.691 * [exit]simplify: Simplified to (/ (pow PI (/ k 2)) (sqrt (* 2 n))) 1539348215.691 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (pow PI (/ k 2)) (sqrt (* 2 n))) (/ (pow (* n 2) (/ k 2)) (sqrt PI)))))) 1539348215.691 * [enter]simplify: Simplifying (/ (pow (* n 2) (/ k 2)) (sqrt PI)) 1539348215.691 * * [misc]simplify: iters left: 5 (9 enodes) 1539348215.694 * * [misc]simplify: iters left: 4 (10 enodes) 1539348215.696 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ k 2)) (sqrt PI)) 1539348215.696 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (pow PI (/ k 2)) (sqrt (* 2 n))) (/ (pow (* n 2) (/ k 2)) (sqrt PI)))))) 1539348215.696 * * * * [misc]progress: [ 79 / 115 ] simplifiying candidate # 1539348215.697 * [enter]simplify: Simplifying (/ (pow PI (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1539348215.697 * * [misc]simplify: iters left: 6 (11 enodes) 1539348215.700 * * [misc]simplify: iters left: 5 (15 enodes) 1539348215.705 * * [misc]simplify: iters left: 4 (21 enodes) 1539348215.710 * * [misc]simplify: iters left: 3 (22 enodes) 1539348215.716 * [exit]simplify: Simplified to (/ (pow PI (/ k 2)) (sqrt (sqrt (* (* n PI) 2)))) 1539348215.716 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (pow PI (/ k 2)) (sqrt (sqrt (* (* n PI) 2)))) (/ (pow (* n 2) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))))))) 1539348215.716 * [enter]simplify: Simplifying (/ (pow (* n 2) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1539348215.716 * * [misc]simplify: iters left: 6 (12 enodes) 1539348215.720 * * [misc]simplify: iters left: 5 (15 enodes) 1539348215.724 * * [misc]simplify: iters left: 4 (21 enodes) 1539348215.730 * * [misc]simplify: iters left: 3 (22 enodes) 1539348215.735 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ k 2)) (sqrt (sqrt (* n (* 2 PI))))) 1539348215.735 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (pow PI (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) (/ (pow (* n 2) (/ k 2)) (sqrt (sqrt (* n (* 2 PI))))))))) 1539348215.735 * * * * [misc]progress: [ 80 / 115 ] simplifiying candidate # 1539348215.736 * [enter]simplify: Simplifying (/ (pow PI (/ k 2)) 1) 1539348215.736 * * [misc]simplify: iters left: 5 (7 enodes) 1539348215.738 * * [misc]simplify: iters left: 4 (9 enodes) 1539348215.741 * * [misc]simplify: iters left: 3 (11 enodes) 1539348215.743 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1539348215.743 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (pow PI (/ k 2)) (/ (pow (* n 2) (/ k 2)) (sqrt (* (* 2 n) PI))))))) 1539348215.743 * [enter]simplify: Simplifying (/ (pow (* n 2) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348215.743 * * [misc]simplify: iters left: 6 (11 enodes) 1539348215.747 * * [misc]simplify: iters left: 5 (14 enodes) 1539348215.749 * * [misc]simplify: iters left: 4 (20 enodes) 1539348215.751 * * [misc]simplify: iters left: 3 (22 enodes) 1539348215.754 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ k 2)) (sqrt (* (* PI n) 2))) 1539348215.754 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (pow PI (/ k 2)) (/ (pow (* n 2) (/ k 2)) (sqrt (* (* PI n) 2))))))) 1539348215.754 * * * * [misc]progress: [ 81 / 115 ] simplifiying candidate # 1539348215.755 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1539348215.755 * * [misc]simplify: iters left: 6 (16 enodes) 1539348215.757 * * [misc]simplify: iters left: 5 (27 enodes) 1539348215.761 * * [misc]simplify: iters left: 4 (40 enodes) 1539348215.768 * * [misc]simplify: iters left: 3 (44 enodes) 1539348215.773 * * [misc]simplify: iters left: 2 (47 enodes) 1539348215.779 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* PI (* 2 n)) (/ k 2))) (cbrt (sqrt (* PI (* 2 n))))) (/ (cbrt (pow (* PI (* 2 n)) (/ k 2))) (cbrt (sqrt (* PI (* 2 n)))))) 1539348215.779 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (* (/ (cbrt (pow (* PI (* 2 n)) (/ k 2))) (cbrt (sqrt (* PI (* 2 n))))) (/ (cbrt (pow (* PI (* 2 n)) (/ k 2))) (cbrt (sqrt (* PI (* 2 n)))))) (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))))))) 1539348215.779 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348215.779 * * [misc]simplify: iters left: 6 (14 enodes) 1539348215.781 * * [misc]simplify: iters left: 5 (20 enodes) 1539348215.784 * * [misc]simplify: iters left: 4 (24 enodes) 1539348215.787 * * [misc]simplify: iters left: 3 (25 enodes) 1539348215.790 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348215.790 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))))))) 1539348215.790 * * * * [misc]progress: [ 82 / 115 ] simplifiying candidate # 1539348215.791 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (* 2 n))) 1539348215.791 * * [misc]simplify: iters left: 6 (13 enodes) 1539348215.795 * * [misc]simplify: iters left: 5 (18 enodes) 1539348215.801 * * [misc]simplify: iters left: 4 (26 enodes) 1539348215.808 * * [misc]simplify: iters left: 3 (28 enodes) 1539348215.816 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* PI (* 2 n)) (/ k 2))) (cbrt (pow (* PI (* 2 n)) (/ k 2)))) (sqrt (* 2 n))) 1539348215.816 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt (pow (* PI (* 2 n)) (/ k 2))) (cbrt (pow (* PI (* 2 n)) (/ k 2)))) (sqrt (* 2 n))) (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt PI)))))) 1539348215.816 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt PI)) 1539348215.816 * * [misc]simplify: iters left: 6 (11 enodes) 1539348215.819 * * [misc]simplify: iters left: 5 (15 enodes) 1539348215.824 * * [misc]simplify: iters left: 4 (21 enodes) 1539348215.830 * * [misc]simplify: iters left: 3 (22 enodes) 1539348215.835 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI n) 2) (/ k 2))) (sqrt PI)) 1539348215.835 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (* 2 n))) (/ (cbrt (pow (* (* PI n) 2) (/ k 2))) (sqrt PI)))))) 1539348215.835 * * * * [misc]progress: [ 83 / 115 ] simplifiying candidate # 1539348215.836 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348215.836 * * [misc]simplify: iters left: 6 (15 enodes) 1539348215.841 * * [misc]simplify: iters left: 5 (22 enodes) 1539348215.847 * * [misc]simplify: iters left: 4 (28 enodes) 1539348215.855 * * [misc]simplify: iters left: 3 (30 enodes) 1539348215.863 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* PI (* 2 n)) (/ k 2))) (cbrt (pow (* PI (* 2 n)) (/ k 2)))) (sqrt (sqrt (* PI (* 2 n))))) 1539348215.863 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt (pow (* PI (* 2 n)) (/ k 2))) (cbrt (pow (* PI (* 2 n)) (/ k 2)))) (sqrt (sqrt (* PI (* 2 n))))) (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))))))) 1539348215.863 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348215.863 * * [misc]simplify: iters left: 6 (14 enodes) 1539348215.867 * * [misc]simplify: iters left: 5 (20 enodes) 1539348215.873 * * [misc]simplify: iters left: 4 (24 enodes) 1539348215.879 * * [misc]simplify: iters left: 3 (25 enodes) 1539348215.885 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348215.885 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))))))) 1539348215.885 * * * * [misc]progress: [ 84 / 115 ] simplifiying candidate # 1539348215.885 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) 1) 1539348215.886 * * [misc]simplify: iters left: 6 (12 enodes) 1539348215.890 * * [misc]simplify: iters left: 5 (20 enodes) 1539348215.897 * * [misc]simplify: iters left: 4 (32 enodes) 1539348215.904 * * [misc]simplify: iters left: 3 (36 enodes) 1539348215.908 * * [misc]simplify: iters left: 2 (41 enodes) 1539348215.913 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1539348215.913 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI))))))) 1539348215.913 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI))) 1539348215.913 * * [misc]simplify: iters left: 6 (13 enodes) 1539348215.915 * * [misc]simplify: iters left: 5 (19 enodes) 1539348215.917 * * [misc]simplify: iters left: 4 (23 enodes) 1539348215.920 * * [misc]simplify: iters left: 3 (24 enodes) 1539348215.923 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* (* 2 n) PI))) 1539348215.923 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* (* 2 n) PI))))))) 1539348215.923 * * * * [misc]progress: [ 85 / 115 ] simplifiying candidate # 1539348215.923 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1539348215.923 * * [misc]simplify: iters left: 6 (15 enodes) 1539348215.925 * * [misc]simplify: iters left: 5 (23 enodes) 1539348215.928 * * [misc]simplify: iters left: 4 (27 enodes) 1539348215.932 * * [misc]simplify: iters left: 3 (28 enodes) 1539348215.935 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348215.935 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))))))) 1539348215.935 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348215.935 * * [misc]simplify: iters left: 6 (14 enodes) 1539348215.938 * * [misc]simplify: iters left: 5 (20 enodes) 1539348215.941 * * [misc]simplify: iters left: 4 (24 enodes) 1539348215.947 * * [misc]simplify: iters left: 3 (25 enodes) 1539348215.954 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))) 1539348215.954 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))))))) 1539348215.954 * * * * [misc]progress: [ 86 / 115 ] simplifiying candidate # 1539348215.954 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (* 2 n))) 1539348215.954 * * [misc]simplify: iters left: 6 (12 enodes) 1539348215.958 * * [misc]simplify: iters left: 5 (15 enodes) 1539348215.962 * * [misc]simplify: iters left: 4 (21 enodes) 1539348215.969 * * [misc]simplify: iters left: 3 (22 enodes) 1539348215.974 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* 2 n))) 1539348215.974 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* 2 n))) (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt PI)))))) 1539348215.975 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt PI)) 1539348215.975 * * [misc]simplify: iters left: 6 (11 enodes) 1539348215.978 * * [misc]simplify: iters left: 5 (15 enodes) 1539348215.983 * * [misc]simplify: iters left: 4 (21 enodes) 1539348215.988 * * [misc]simplify: iters left: 3 (22 enodes) 1539348215.994 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ k 2))) (sqrt PI)) 1539348215.994 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (* 2 n))) (/ (sqrt (pow (* (* PI n) 2) (/ k 2))) (sqrt PI)))))) 1539348215.994 * * * * [misc]progress: [ 87 / 115 ] simplifiying candidate # 1539348215.994 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348215.994 * * [misc]simplify: iters left: 6 (14 enodes) 1539348216.000 * * [misc]simplify: iters left: 5 (20 enodes) 1539348216.006 * * [misc]simplify: iters left: 4 (24 enodes) 1539348216.012 * * [misc]simplify: iters left: 3 (25 enodes) 1539348216.018 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348216.018 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))))))) 1539348216.018 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348216.018 * * [misc]simplify: iters left: 6 (14 enodes) 1539348216.023 * * [misc]simplify: iters left: 5 (20 enodes) 1539348216.028 * * [misc]simplify: iters left: 4 (24 enodes) 1539348216.034 * * [misc]simplify: iters left: 3 (25 enodes) 1539348216.041 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) 1539348216.041 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt (* (* 2 n) PI)))))))) 1539348216.041 * * * * [misc]progress: [ 88 / 115 ] simplifiying candidate # 1539348216.041 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) 1) 1539348216.041 * * [misc]simplify: iters left: 6 (11 enodes) 1539348216.045 * * [misc]simplify: iters left: 5 (17 enodes) 1539348216.050 * * [misc]simplify: iters left: 4 (25 enodes) 1539348216.056 * * [misc]simplify: iters left: 3 (26 enodes) 1539348216.062 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (/ k 2))) 1539348216.062 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI))))))) 1539348216.062 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (* (* 2 n) PI))) 1539348216.063 * * [misc]simplify: iters left: 6 (13 enodes) 1539348216.067 * * [misc]simplify: iters left: 5 (19 enodes) 1539348216.072 * * [misc]simplify: iters left: 4 (23 enodes) 1539348216.078 * * [misc]simplify: iters left: 3 (24 enodes) 1539348216.084 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* (* 2 n) PI))) 1539348216.084 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (* (* 2 n) PI))))))) 1539348216.084 * * * * [misc]progress: [ 89 / 115 ] simplifiying candidate # 1539348216.084 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1539348216.084 * * [misc]simplify: iters left: 6 (10 enodes) 1539348216.088 * * [misc]simplify: iters left: 5 (18 enodes) 1539348216.093 * * [misc]simplify: iters left: 4 (24 enodes) 1539348216.099 * * [misc]simplify: iters left: 3 (25 enodes) 1539348216.105 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1539348216.105 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))))))) 1539348216.106 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1539348216.106 * * [misc]simplify: iters left: 6 (13 enodes) 1539348216.110 * * [misc]simplify: iters left: 5 (18 enodes) 1539348216.115 * * [misc]simplify: iters left: 4 (22 enodes) 1539348216.122 * * [misc]simplify: iters left: 3 (23 enodes) 1539348216.128 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1539348216.128 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))))))) 1539348216.128 * * * * [misc]progress: [ 90 / 115 ] simplifiying candidate # 1539348216.128 * [enter]simplify: Simplifying (/ 1 (sqrt (* 2 n))) 1539348216.128 * * [misc]simplify: iters left: 5 (6 enodes) 1539348216.130 * * [misc]simplify: iters left: 4 (9 enodes) 1539348216.133 * [exit]simplify: Simplified to (/ 1 (sqrt (* n 2))) 1539348216.133 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (sqrt (* n 2))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))))) 1539348216.133 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1539348216.133 * * [misc]simplify: iters left: 6 (10 enodes) 1539348216.136 * * [misc]simplify: iters left: 5 (14 enodes) 1539348216.141 * * [misc]simplify: iters left: 4 (20 enodes) 1539348216.147 * * [misc]simplify: iters left: 3 (22 enodes) 1539348216.151 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1539348216.151 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (sqrt (* 2 n))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)))))) 1539348216.151 * * * * [misc]progress: [ 91 / 115 ] simplifiying candidate # 1539348216.151 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) 1539348216.151 * * [misc]simplify: iters left: 6 (9 enodes) 1539348216.152 * * [misc]simplify: iters left: 5 (15 enodes) 1539348216.154 * * [misc]simplify: iters left: 4 (21 enodes) 1539348216.157 * * [misc]simplify: iters left: 3 (22 enodes) 1539348216.160 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* (* 2 PI) n)))) 1539348216.160 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (sqrt (sqrt (* (* 2 PI) n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))))))) 1539348216.160 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1539348216.160 * * [misc]simplify: iters left: 6 (13 enodes) 1539348216.163 * * [misc]simplify: iters left: 5 (18 enodes) 1539348216.165 * * [misc]simplify: iters left: 4 (22 enodes) 1539348216.168 * * [misc]simplify: iters left: 3 (23 enodes) 1539348216.170 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1539348216.170 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))))))) 1539348216.171 * * * * [misc]progress: [ 92 / 115 ] simplifiying candidate # 1539348216.171 * [enter]simplify: Simplifying (/ 1 1) 1539348216.171 * * [misc]simplify: iters left: 2 (2 enodes) 1539348216.171 * * [misc]simplify: iters left: 1 (4 enodes) 1539348216.171 * [exit]simplify: Simplified to 1 1539348216.171 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (* 1 (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))))))) 1539348216.172 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348216.172 * * [misc]simplify: iters left: 6 (12 enodes) 1539348216.173 * * [misc]simplify: iters left: 5 (17 enodes) 1539348216.176 * * [misc]simplify: iters left: 4 (21 enodes) 1539348216.178 * * [misc]simplify: iters left: 3 (22 enodes) 1539348216.181 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1539348216.181 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (* 1 (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))))))) 1539348216.181 * * * * [misc]progress: [ 93 / 115 ] simplifiying candidate # 1539348216.181 * * * * [misc]progress: [ 94 / 115 ] simplifiying candidate # 1539348216.181 * * * * [misc]progress: [ 95 / 115 ] simplifiying candidate # 1539348216.181 * * * * [misc]progress: [ 96 / 115 ] simplifiying candidate # 1539348216.181 * [enter]simplify: Simplifying (cbrt (sqrt (* (* 2 n) PI))) 1539348216.181 * * [misc]simplify: iters left: 6 (7 enodes) 1539348216.182 * * [misc]simplify: iters left: 5 (11 enodes) 1539348216.184 * * [misc]simplify: iters left: 4 (17 enodes) 1539348216.189 * * [misc]simplify: iters left: 3 (19 enodes) 1539348216.192 * [exit]simplify: Simplified to (cbrt (sqrt (* (* 2 n) PI))) 1539348216.192 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (/ (pow (* PI (* n 2)) (/ k 2)) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1539348216.192 * * * * [misc]progress: [ 97 / 115 ] simplifiying candidate # 1539348216.193 * [enter]simplify: Simplifying (sqrt PI) 1539348216.193 * * [misc]simplify: iters left: 1 (2 enodes) 1539348216.193 * [exit]simplify: Simplified to (sqrt PI) 1539348216.193 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* 2 n))) (sqrt PI))))) 1539348216.193 * * * * [misc]progress: [ 98 / 115 ] simplifiying candidate # 1539348216.193 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1539348216.193 * * [misc]simplify: iters left: 6 (7 enodes) 1539348216.194 * * [misc]simplify: iters left: 5 (11 enodes) 1539348216.196 * * [misc]simplify: iters left: 4 (17 enodes) 1539348216.198 * * [misc]simplify: iters left: 3 (19 enodes) 1539348216.200 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1539348216.200 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1539348216.200 * * * * [misc]progress: [ 99 / 115 ] simplifiying candidate # 1539348216.200 * [enter]simplify: Simplifying (sqrt (* (* 2 n) PI)) 1539348216.200 * * [misc]simplify: iters left: 5 (6 enodes) 1539348216.201 * * [misc]simplify: iters left: 4 (10 enodes) 1539348216.202 * * [misc]simplify: iters left: 3 (16 enodes) 1539348216.204 * * [misc]simplify: iters left: 2 (18 enodes) 1539348216.206 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1539348216.206 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (/ (pow (* PI (* n 2)) (/ k 2)) 1) (sqrt (* (* 2 n) PI)))))) 1539348216.206 * * * * [misc]progress: [ 100 / 115 ] simplifiying candidate # 1539348216.207 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1539348216.207 * * [misc]simplify: iters left: 3 (5 enodes) 1539348216.207 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1539348216.207 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow PI (/ k 2)) (/ (sqrt (* (* 2 n) PI)) (pow (* n 2) (/ k 2))))))) 1539348216.207 * * * * [misc]progress: [ 101 / 115 ] simplifiying candidate # 1539348216.208 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))) 1539348216.208 * * [misc]simplify: iters left: 6 (10 enodes) 1539348216.209 * * [misc]simplify: iters left: 5 (14 enodes) 1539348216.211 * * [misc]simplify: iters left: 4 (20 enodes) 1539348216.214 * * [misc]simplify: iters left: 3 (22 enodes) 1539348216.216 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) 1539348216.216 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (* (* 2 n) PI)) (cbrt (pow (* PI (* n 2)) (/ k 2)))))))) 1539348216.217 * * * * [misc]progress: [ 102 / 115 ] simplifiying candidate # 1539348216.217 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (/ k 2))) 1539348216.217 * * [misc]simplify: iters left: 6 (9 enodes) 1539348216.218 * * [misc]simplify: iters left: 5 (13 enodes) 1539348216.220 * * [misc]simplify: iters left: 4 (19 enodes) 1539348216.222 * * [misc]simplify: iters left: 3 (20 enodes) 1539348216.227 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (/ k 2))) 1539348216.227 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))) 1539348216.227 * * * * [misc]progress: [ 103 / 115 ] simplifiying candidate # 1539348216.228 * * * * [misc]progress: [ 104 / 115 ] simplifiying candidate # 1539348216.228 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1539348216.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539348216.228 * * * * [misc]progress: [ 105 / 115 ] simplifiying candidate # 1539348216.228 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))))))) 1539348216.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539348216.228 * * * * [misc]progress: [ 106 / 115 ] simplifiying candidate # 1539348216.229 * [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))) n))))))) 1539348216.229 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539348216.229 * * * * [misc]progress: [ 107 / 115 ] simplifiying candidate # 1539348216.229 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348216.229 * * [misc]simplify: iters left: 4 (5 enodes) 1539348216.231 * * [misc]simplify: iters left: 3 (9 enodes) 1539348216.233 * * [misc]simplify: iters left: 2 (15 enodes) 1539348216.237 * * [misc]simplify: iters left: 1 (17 enodes) 1539348216.241 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348216.241 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* (* PI n) 2) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1539348216.241 * * * * [misc]progress: [ 108 / 115 ] simplifiying candidate # 1539348216.241 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348216.241 * * [misc]simplify: iters left: 4 (5 enodes) 1539348216.243 * * [misc]simplify: iters left: 3 (9 enodes) 1539348216.246 * * [misc]simplify: iters left: 2 (15 enodes) 1539348216.250 * * [misc]simplify: iters left: 1 (17 enodes) 1539348216.254 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348216.254 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* (* PI n) 2) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1539348216.254 * * * * [misc]progress: [ 109 / 115 ] simplifiying candidate # 1539348216.254 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348216.254 * * [misc]simplify: iters left: 4 (5 enodes) 1539348216.256 * * [misc]simplify: iters left: 3 (9 enodes) 1539348216.258 * * [misc]simplify: iters left: 2 (15 enodes) 1539348216.262 * * [misc]simplify: iters left: 1 (17 enodes) 1539348216.266 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348216.266 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* (* PI n) 2) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1539348216.266 * * * * [misc]progress: [ 110 / 115 ] simplifiying candidate # 1539348216.266 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348216.267 * * [misc]simplify: iters left: 4 (5 enodes) 1539348216.268 * * [misc]simplify: iters left: 3 (9 enodes) 1539348216.271 * * [misc]simplify: iters left: 2 (15 enodes) 1539348216.275 * * [misc]simplify: iters left: 1 (17 enodes) 1539348216.279 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348216.279 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* PI n) 2)))))) 1539348216.279 * * * * [misc]progress: [ 111 / 115 ] simplifiying candidate # 1539348216.279 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348216.279 * * [misc]simplify: iters left: 4 (5 enodes) 1539348216.281 * * [misc]simplify: iters left: 3 (9 enodes) 1539348216.284 * * [misc]simplify: iters left: 2 (15 enodes) 1539348216.288 * * [misc]simplify: iters left: 1 (17 enodes) 1539348216.291 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348216.291 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* PI n) 2)))))) 1539348216.292 * * * * [misc]progress: [ 112 / 115 ] simplifiying candidate # 1539348216.292 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539348216.292 * * [misc]simplify: iters left: 4 (5 enodes) 1539348216.293 * * [misc]simplify: iters left: 3 (9 enodes) 1539348216.296 * * [misc]simplify: iters left: 2 (15 enodes) 1539348216.297 * * [misc]simplify: iters left: 1 (17 enodes) 1539348216.299 * [exit]simplify: Simplified to (* (* PI n) 2) 1539348216.299 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* PI n) 2)))))) 1539348216.299 * * * * [misc]progress: [ 113 / 115 ] simplifiying candidate # 1539348216.300 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (log n) k) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ n (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (* k (log (* 2 PI))) (* (sqrt 2) PI)))))))))) 1539348216.300 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) +nan.0))) 1539348216.300 * * * * [misc]progress: [ 114 / 115 ] simplifiying candidate # 1539348216.300 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (pow PI 3)))))))))) 1539348216.300 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) +nan.0))) 1539348216.300 * * * * [misc]progress: [ 115 / 115 ] simplifiying candidate # 1539348216.300 * [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) (pow n 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))))))) 1539348216.300 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) +nan.0))) 1539348216.300 * * * [misc]progress: adding candidates to table 1539348217.553 * [misc]progress: [Phase 3 of 3] Extracting. 1539348217.553 * * [misc]regime: Finding splitpoints for: (# # # # # # # #) 1539348217.555 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1539348217.555 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # #) 1539348217.611 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # #) 1539348217.685 * * * [misc]regime: Found split indices: #