1538300252.949 * [misc]progress: [Phase 1 of 3] Setting up. 1538300252.950 * * * [misc]progress: [1/2] Preparing points 1538300252.950 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1538300252.953 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1538300252.957 * * * * [misc]points: Setting MPFR precision to 64 1538300252.959 * * * * [misc]points: Setting MPFR precision to 320 1538300252.960 * * * * [misc]points: Setting MPFR precision to 576 1538300252.962 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1538300252.966 * * * * [misc]points: Setting MPFR precision to 320 1538300252.969 * * * * [misc]points: Setting MPFR precision to 576 1538300252.976 * * * * [misc]points: Setting MPFR precision to 832 1538300252.979 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1538300252.983 * * * * [misc]points: Setting MPFR precision to 576 1538300252.988 * * * * [misc]points: Setting MPFR precision to 832 1538300252.993 * * * * [misc]points: Setting MPFR precision to 1088 1538300252.999 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.006 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1538300253.010 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.019 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.029 * * * * [misc]points: Computing exacts for 256 points 1538300253.033 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.063 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.094 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.095 * * * * [misc]points: Sampling 205 additional inputs, on iter 1 have 51 / 256 1538300253.096 * * * * [misc]points: Computing exacts on every 12 of 205 points to ramp up precision 1538300253.098 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.099 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.100 * * * * [misc]points: Computing exacts on every 6 of 205 points to ramp up precision 1538300253.102 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.104 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.105 * * * * [misc]points: Computing exacts on every 3 of 205 points to ramp up precision 1538300253.107 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.110 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.113 * * * * [misc]points: Computing exacts for 205 points 1538300253.115 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.126 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.137 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.137 * * * * [misc]points: Sampling 175 additional inputs, on iter 2 have 81 / 256 1538300253.139 * * * * [misc]points: Computing exacts on every 10 of 175 points to ramp up precision 1538300253.141 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.142 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.143 * * * * [misc]points: Computing exacts on every 5 of 175 points to ramp up precision 1538300253.145 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.179 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.182 * * * * [misc]points: Computing exacts on every 2 of 175 points to ramp up precision 1538300253.187 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.196 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.204 * * * * [misc]points: Computing exacts for 175 points 1538300253.208 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.219 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.229 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.230 * * * * [misc]points: Sampling 145 additional inputs, on iter 3 have 111 / 256 1538300253.231 * * * * [misc]points: Computing exacts on every 9 of 145 points to ramp up precision 1538300253.233 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.234 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.235 * * * * [misc]points: Computing exacts on every 4 of 145 points to ramp up precision 1538300253.237 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.239 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.241 * * * * [misc]points: Computing exacts on every 2 of 145 points to ramp up precision 1538300253.245 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.250 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.255 * * * * [misc]points: Computing exacts for 145 points 1538300253.259 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.276 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.291 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.291 * * * * [misc]points: Sampling 114 additional inputs, on iter 4 have 142 / 256 1538300253.292 * * * * [misc]points: Computing exacts on every 7 of 114 points to ramp up precision 1538300253.296 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.298 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.299 * * * * [misc]points: Computing exacts on every 3 of 114 points to ramp up precision 1538300253.303 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.307 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.311 * * * * [misc]points: Computing exacts for 114 points 1538300253.315 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.328 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.342 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.342 * * * * [misc]points: Sampling 86 additional inputs, on iter 5 have 170 / 256 1538300253.343 * * * * [misc]points: Computing exacts on every 5 of 86 points to ramp up precision 1538300253.347 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.349 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.351 * * * * [misc]points: Computing exacts on every 2 of 86 points to ramp up precision 1538300253.355 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.391 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.395 * * * * [misc]points: Computing exacts for 86 points 1538300253.403 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.413 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.425 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.425 * * * * [misc]points: Sampling 71 additional inputs, on iter 6 have 185 / 256 1538300253.426 * * * * [misc]points: Computing exacts on every 4 of 71 points to ramp up precision 1538300253.430 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.432 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.433 * * * * [misc]points: Computing exacts on every 2 of 71 points to ramp up precision 1538300253.437 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.440 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.442 * * * * [misc]points: Computing exacts for 71 points 1538300253.444 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.449 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.453 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.453 * * * * [misc]points: Sampling 56 additional inputs, on iter 7 have 200 / 256 1538300253.454 * * * * [misc]points: Computing exacts on every 3 of 56 points to ramp up precision 1538300253.456 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.457 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.458 * * * * [misc]points: Computing exacts for 56 points 1538300253.460 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.464 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.468 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.468 * * * * [misc]points: Sampling 47 additional inputs, on iter 8 have 209 / 256 1538300253.469 * * * * [misc]points: Computing exacts on every 2 of 47 points to ramp up precision 1538300253.473 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.476 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.478 * * * * [misc]points: Computing exacts for 47 points 1538300253.482 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.488 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.494 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.494 * * * * [misc]points: Sampling 36 additional inputs, on iter 9 have 220 / 256 1538300253.495 * * * * [misc]points: Computing exacts on every 2 of 36 points to ramp up precision 1538300253.499 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.500 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.502 * * * * [misc]points: Computing exacts for 36 points 1538300253.506 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.511 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.515 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.516 * * * * [misc]points: Sampling 30 additional inputs, on iter 10 have 226 / 256 1538300253.516 * * * * [misc]points: Computing exacts for 30 points 1538300253.520 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.524 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.527 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.527 * * * * [misc]points: Sampling 23 additional inputs, on iter 11 have 233 / 256 1538300253.528 * * * * [misc]points: Computing exacts for 23 points 1538300253.532 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.535 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.537 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.538 * * * * [misc]points: Sampling 19 additional inputs, on iter 12 have 237 / 256 1538300253.538 * * * * [misc]points: Computing exacts for 19 points 1538300253.542 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.544 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.546 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.547 * * * * [misc]points: Sampling 18 additional inputs, on iter 13 have 238 / 256 1538300253.547 * * * * [misc]points: Computing exacts for 18 points 1538300253.551 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.553 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.555 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.555 * * * * [misc]points: Sampling 15 additional inputs, on iter 14 have 241 / 256 1538300253.556 * * * * [misc]points: Computing exacts for 15 points 1538300253.560 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.581 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.582 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.582 * * * * [misc]points: Sampling 14 additional inputs, on iter 15 have 242 / 256 1538300253.582 * * * * [misc]points: Computing exacts for 14 points 1538300253.584 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.585 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.586 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.586 * * * * [misc]points: Sampling 9 additional inputs, on iter 16 have 247 / 256 1538300253.586 * * * * [misc]points: Computing exacts for 9 points 1538300253.588 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.589 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.589 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.589 * * * * [misc]points: Sampling 8 additional inputs, on iter 17 have 248 / 256 1538300253.589 * * * * [misc]points: Computing exacts for 8 points 1538300253.593 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.593 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.594 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.594 * * * * [misc]points: Sampling 7 additional inputs, on iter 18 have 249 / 256 1538300253.594 * * * * [misc]points: Computing exacts for 7 points 1538300253.596 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.596 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.597 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.597 * * * * [misc]points: Sampling 5 additional inputs, on iter 19 have 251 / 256 1538300253.597 * * * * [misc]points: Computing exacts for 5 points 1538300253.599 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.599 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.600 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.600 * * * * [misc]points: Sampling 5 additional inputs, on iter 20 have 251 / 256 1538300253.600 * * * * [misc]points: Computing exacts for 5 points 1538300253.602 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.603 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.603 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.603 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 254 / 256 1538300253.603 * * * * [misc]points: Computing exacts for 4 points 1538300253.605 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.606 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.606 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.606 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 254 / 256 1538300253.606 * * * * [misc]points: Computing exacts for 4 points 1538300253.608 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.608 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.609 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.609 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 255 / 256 1538300253.609 * * * * [misc]points: Computing exacts for 4 points 1538300253.611 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.611 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.611 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.611 * * * * [misc]points: Sampling 4 additional inputs, on iter 24 have 255 / 256 1538300253.612 * * * * [misc]points: Computing exacts for 4 points 1538300253.614 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.614 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.614 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.614 * * * * [misc]points: Sampling 4 additional inputs, on iter 25 have 255 / 256 1538300253.615 * * * * [misc]points: Computing exacts for 4 points 1538300253.617 * * * * [misc]points: Setting MPFR precision to 1088 1538300253.617 * * * * [misc]points: Setting MPFR precision to 1344 1538300253.618 * * * * [misc]points: Filtering points with unrepresentable outputs 1538300253.618 * * * * [exit]points: Sampled 257 points with exact outputs 1538300253.618 * * * [misc]progress: [2/2] Setting up program. 1538300253.628 * [misc]progress: [Phase 2 of 3] Improving. 1538300253.628 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1538300253.630 * * [misc]simplify: iters left: 6 (13 enodes) 1538300253.637 * * [misc]simplify: iters left: 5 (28 enodes) 1538300253.648 * * [misc]simplify: iters left: 4 (44 enodes) 1538300253.663 * * [misc]simplify: iters left: 3 (54 enodes) 1538300253.676 * * [misc]simplify: iters left: 2 (57 enodes) 1538300253.691 * * [misc]simplify: iters left: 1 (65 enodes) 1538300253.703 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538300253.714 * * [misc]progress: iteration 1 / 4 1538300253.714 * * * [misc]progress: picking best candidate 1538300253.724 * * * * [misc]pick: Picked # 1538300253.724 * * * [misc]progress: localizing error 1538300253.757 * * * [misc]progress: generating rewritten candidates 1538300253.757 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) 1538300253.789 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1538300253.848 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) 1538300253.879 * * * [misc]progress: generating series expansions 1538300253.879 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) 1538300253.879 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1538300253.879 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1538300253.879 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300253.879 * [misc]taylor: Taking taylor expansion of 2 in n 1538300253.879 * [misc]backup-simplify: Simplify 2 into 2 1538300253.880 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300253.880 * [misc]taylor: Taking taylor expansion of n in n 1538300253.880 * [misc]backup-simplify: Simplify 0 into 0 1538300253.880 * [misc]backup-simplify: Simplify 1 into 1 1538300253.880 * [misc]taylor: Taking taylor expansion of PI in n 1538300253.880 * [misc]backup-simplify: Simplify PI into PI 1538300253.880 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300253.880 * [misc]taylor: Taking taylor expansion of 2 in n 1538300253.880 * [misc]backup-simplify: Simplify 2 into 2 1538300253.880 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300253.880 * [misc]taylor: Taking taylor expansion of n in n 1538300253.880 * [misc]backup-simplify: Simplify 0 into 0 1538300253.880 * [misc]backup-simplify: Simplify 1 into 1 1538300253.880 * [misc]taylor: Taking taylor expansion of PI in n 1538300253.880 * [misc]backup-simplify: Simplify PI into PI 1538300253.881 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300253.881 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300253.881 * [misc]backup-simplify: Simplify 0 into 0 1538300253.882 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300253.883 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300253.883 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300253.884 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538300253.885 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538300253.885 * [misc]backup-simplify: Simplify 0 into 0 1538300253.887 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300253.889 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538300253.889 * [misc]backup-simplify: Simplify 0 into 0 1538300253.891 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300253.893 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538300253.893 * [misc]backup-simplify: Simplify 0 into 0 1538300253.896 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300253.899 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1538300253.899 * [misc]backup-simplify: Simplify 0 into 0 1538300253.903 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300253.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1538300253.907 * [misc]backup-simplify: Simplify 0 into 0 1538300253.912 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1538300253.916 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1538300253.916 * [misc]backup-simplify: Simplify 0 into 0 1538300253.917 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1538300253.917 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1538300253.917 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1538300253.917 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300253.917 * [misc]taylor: Taking taylor expansion of 2 in n 1538300253.917 * [misc]backup-simplify: Simplify 2 into 2 1538300253.917 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300253.917 * [misc]taylor: Taking taylor expansion of PI in n 1538300253.917 * [misc]backup-simplify: Simplify PI into PI 1538300253.917 * [misc]taylor: Taking taylor expansion of n in n 1538300253.917 * [misc]backup-simplify: Simplify 0 into 0 1538300253.917 * [misc]backup-simplify: Simplify 1 into 1 1538300253.918 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300253.918 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300253.918 * [misc]taylor: Taking taylor expansion of 2 in n 1538300253.918 * [misc]backup-simplify: Simplify 2 into 2 1538300253.918 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300253.918 * [misc]taylor: Taking taylor expansion of PI in n 1538300253.918 * [misc]backup-simplify: Simplify PI into PI 1538300253.918 * [misc]taylor: Taking taylor expansion of n in n 1538300253.918 * [misc]backup-simplify: Simplify 0 into 0 1538300253.918 * [misc]backup-simplify: Simplify 1 into 1 1538300253.918 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300253.918 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300253.919 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300253.920 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300253.921 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300253.921 * [misc]backup-simplify: Simplify 0 into 0 1538300253.922 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300253.923 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300253.923 * [misc]backup-simplify: Simplify 0 into 0 1538300253.925 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300253.927 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300253.927 * [misc]backup-simplify: Simplify 0 into 0 1538300253.929 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300253.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300253.931 * [misc]backup-simplify: Simplify 0 into 0 1538300253.934 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300253.937 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300253.937 * [misc]backup-simplify: Simplify 0 into 0 1538300253.939 * [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 1538300253.943 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300253.943 * [misc]backup-simplify: Simplify 0 into 0 1538300253.943 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1538300253.944 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1538300253.944 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1538300253.944 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300253.944 * [misc]taylor: Taking taylor expansion of -2 in n 1538300253.944 * [misc]backup-simplify: Simplify -2 into -2 1538300253.944 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300253.944 * [misc]taylor: Taking taylor expansion of PI in n 1538300253.944 * [misc]backup-simplify: Simplify PI into PI 1538300253.944 * [misc]taylor: Taking taylor expansion of n in n 1538300253.944 * [misc]backup-simplify: Simplify 0 into 0 1538300253.944 * [misc]backup-simplify: Simplify 1 into 1 1538300253.944 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300253.944 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300253.944 * [misc]taylor: Taking taylor expansion of -2 in n 1538300253.944 * [misc]backup-simplify: Simplify -2 into -2 1538300253.945 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300253.945 * [misc]taylor: Taking taylor expansion of PI in n 1538300253.945 * [misc]backup-simplify: Simplify PI into PI 1538300253.945 * [misc]taylor: Taking taylor expansion of n in n 1538300253.945 * [misc]backup-simplify: Simplify 0 into 0 1538300253.945 * [misc]backup-simplify: Simplify 1 into 1 1538300253.945 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300253.945 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300253.946 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300253.947 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300253.948 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538300253.948 * [misc]backup-simplify: Simplify 0 into 0 1538300253.949 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300253.950 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300253.950 * [misc]backup-simplify: Simplify 0 into 0 1538300253.952 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300253.954 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300253.954 * [misc]backup-simplify: Simplify 0 into 0 1538300253.956 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300253.958 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300253.958 * [misc]backup-simplify: Simplify 0 into 0 1538300253.961 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300253.963 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300253.964 * [misc]backup-simplify: Simplify 0 into 0 1538300253.967 * [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 1538300253.970 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300253.970 * [misc]backup-simplify: Simplify 0 into 0 1538300253.971 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1538300253.971 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1538300253.971 * [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)))) 1538300253.972 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1538300253.972 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1538300253.972 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300253.972 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300253.972 * [misc]taylor: Taking taylor expansion of k in k 1538300253.972 * [misc]backup-simplify: Simplify 0 into 0 1538300253.972 * [misc]backup-simplify: Simplify 1 into 1 1538300253.972 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300253.972 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300253.973 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300253.973 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538300253.973 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538300253.973 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538300253.973 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300253.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300253.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300253.973 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300253.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300253.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300253.973 * [misc]taylor: Taking taylor expansion of k in k 1538300253.973 * [misc]backup-simplify: Simplify 0 into 0 1538300253.973 * [misc]backup-simplify: Simplify 1 into 1 1538300253.973 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538300253.973 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538300253.973 * [misc]taylor: Taking taylor expansion of 2 in k 1538300253.973 * [misc]backup-simplify: Simplify 2 into 2 1538300253.973 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538300253.973 * [misc]taylor: Taking taylor expansion of n in k 1538300253.973 * [misc]backup-simplify: Simplify n into n 1538300253.973 * [misc]taylor: Taking taylor expansion of PI in k 1538300253.973 * [misc]backup-simplify: Simplify PI into PI 1538300253.973 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538300253.974 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538300253.974 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538300253.974 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300253.974 * [misc]backup-simplify: Simplify (- 0) into 0 1538300253.974 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300253.974 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538300253.975 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538300253.975 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538300253.975 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300253.975 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300253.975 * [misc]taylor: Taking taylor expansion of k in n 1538300253.975 * [misc]backup-simplify: Simplify k into k 1538300253.975 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300253.975 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300253.975 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300253.975 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300253.975 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300253.975 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300253.975 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300253.975 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300253.975 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300253.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300253.976 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300253.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300253.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300253.976 * [misc]taylor: Taking taylor expansion of k in n 1538300253.976 * [misc]backup-simplify: Simplify k into k 1538300253.976 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300253.976 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300253.976 * [misc]taylor: Taking taylor expansion of 2 in n 1538300253.976 * [misc]backup-simplify: Simplify 2 into 2 1538300253.976 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300253.976 * [misc]taylor: Taking taylor expansion of n in n 1538300253.976 * [misc]backup-simplify: Simplify 0 into 0 1538300253.976 * [misc]backup-simplify: Simplify 1 into 1 1538300253.976 * [misc]taylor: Taking taylor expansion of PI in n 1538300253.976 * [misc]backup-simplify: Simplify PI into PI 1538300253.976 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300253.977 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300253.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300253.978 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300253.979 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300253.979 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300253.979 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300253.979 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300253.980 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300253.980 * [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)))) 1538300253.981 * [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))))) 1538300253.981 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538300253.981 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300253.981 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300253.981 * [misc]taylor: Taking taylor expansion of k in n 1538300253.981 * [misc]backup-simplify: Simplify k into k 1538300253.981 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300253.982 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300253.982 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300253.982 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300253.982 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300253.982 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300253.982 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300253.982 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300253.982 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300253.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300253.982 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300253.982 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300253.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300253.982 * [misc]taylor: Taking taylor expansion of k in n 1538300253.982 * [misc]backup-simplify: Simplify k into k 1538300253.982 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300253.982 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300253.982 * [misc]taylor: Taking taylor expansion of 2 in n 1538300253.982 * [misc]backup-simplify: Simplify 2 into 2 1538300253.982 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300253.982 * [misc]taylor: Taking taylor expansion of n in n 1538300253.982 * [misc]backup-simplify: Simplify 0 into 0 1538300253.982 * [misc]backup-simplify: Simplify 1 into 1 1538300253.982 * [misc]taylor: Taking taylor expansion of PI in n 1538300253.982 * [misc]backup-simplify: Simplify PI into PI 1538300253.983 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300253.983 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300253.984 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300253.984 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300253.985 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300253.985 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300253.985 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300253.985 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300253.986 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300253.987 * [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)))) 1538300253.988 * [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))))) 1538300253.988 * [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))) 1538300253.989 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1538300253.989 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538300253.989 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538300253.989 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300253.989 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300253.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300253.989 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300253.989 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300253.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300253.989 * [misc]taylor: Taking taylor expansion of k in k 1538300253.989 * [misc]backup-simplify: Simplify 0 into 0 1538300253.989 * [misc]backup-simplify: Simplify 1 into 1 1538300253.989 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538300253.989 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300253.989 * [misc]taylor: Taking taylor expansion of n in k 1538300253.989 * [misc]backup-simplify: Simplify n into n 1538300253.989 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300253.989 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300253.989 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300253.989 * [misc]taylor: Taking taylor expansion of 2 in k 1538300253.989 * [misc]backup-simplify: Simplify 2 into 2 1538300253.989 * [misc]taylor: Taking taylor expansion of PI in k 1538300253.989 * [misc]backup-simplify: Simplify PI into PI 1538300253.990 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300253.990 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300253.990 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300253.990 * [misc]backup-simplify: Simplify (- 0) into 0 1538300253.991 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300253.991 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300253.992 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538300253.993 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538300253.993 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300253.993 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300253.993 * [misc]taylor: Taking taylor expansion of k in k 1538300253.993 * [misc]backup-simplify: Simplify 0 into 0 1538300253.993 * [misc]backup-simplify: Simplify 1 into 1 1538300253.993 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300253.993 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300253.994 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300253.994 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1538300253.994 * [misc]backup-simplify: Simplify 0 into 0 1538300253.996 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538300253.997 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538300254.000 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300254.000 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538300254.000 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.001 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300254.002 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538300254.004 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300254.005 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1538300254.005 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.005 * [misc]backup-simplify: Simplify 0 into 0 1538300254.006 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538300254.007 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300254.010 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300254.010 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.010 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300254.010 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300254.011 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300254.012 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538300254.018 * [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))))))) 1538300254.020 * [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))))))) 1538300254.021 * [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))))))) 1538300254.023 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300254.025 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538300254.031 * [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 1538300254.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538300254.031 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.032 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.032 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300254.033 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300254.036 * [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 1538300254.036 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.037 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1538300254.038 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1538300254.038 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.038 * [misc]backup-simplify: Simplify 0 into 0 1538300254.038 * [misc]backup-simplify: Simplify 0 into 0 1538300254.039 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538300254.040 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300254.041 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538300254.043 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300254.046 * [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 1538300254.047 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.047 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300254.047 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.047 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.048 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300254.050 * [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))))) 1538300254.054 * [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)))))))) 1538300254.056 * [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)))))))) 1538300254.058 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300254.059 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538300254.064 * [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 1538300254.065 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538300254.065 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.065 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.065 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300254.066 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538300254.068 * [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 1538300254.069 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.069 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1538300254.070 * [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 1538300254.070 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.070 * [misc]backup-simplify: Simplify 0 into 0 1538300254.070 * [misc]backup-simplify: Simplify 0 into 0 1538300254.070 * [misc]backup-simplify: Simplify 0 into 0 1538300254.070 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300254.071 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300254.074 * [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 1538300254.076 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300254.084 * [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 1538300254.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538300254.084 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.085 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538300254.092 * [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))))))) 1538300254.112 * [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)))))))))))))) 1538300254.124 * [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)))))))))))))) 1538300254.148 * [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)))))))))))))))))))))) 1538300254.148 * [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))))) 1538300254.148 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1538300254.149 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538300254.149 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300254.149 * [misc]taylor: Taking taylor expansion of k in k 1538300254.149 * [misc]backup-simplify: Simplify 0 into 0 1538300254.149 * [misc]backup-simplify: Simplify 1 into 1 1538300254.149 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300254.150 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300254.150 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300254.150 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538300254.150 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538300254.150 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300254.150 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.150 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300254.150 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.150 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300254.150 * [misc]taylor: Taking taylor expansion of k in k 1538300254.150 * [misc]backup-simplify: Simplify 0 into 0 1538300254.150 * [misc]backup-simplify: Simplify 1 into 1 1538300254.150 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300254.150 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538300254.150 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538300254.150 * [misc]taylor: Taking taylor expansion of 2 in k 1538300254.150 * [misc]backup-simplify: Simplify 2 into 2 1538300254.150 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300254.150 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.150 * [misc]backup-simplify: Simplify PI into PI 1538300254.150 * [misc]taylor: Taking taylor expansion of n in k 1538300254.150 * [misc]backup-simplify: Simplify n into n 1538300254.151 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300254.151 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538300254.151 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538300254.151 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300254.151 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300254.151 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300254.152 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538300254.152 * [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)))) 1538300254.152 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300254.152 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300254.152 * [misc]taylor: Taking taylor expansion of k in n 1538300254.152 * [misc]backup-simplify: Simplify k into k 1538300254.152 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300254.152 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300254.152 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300254.152 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300254.152 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300254.153 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300254.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.153 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300254.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.153 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300254.153 * [misc]taylor: Taking taylor expansion of k in n 1538300254.153 * [misc]backup-simplify: Simplify k into k 1538300254.153 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300254.153 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300254.153 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300254.153 * [misc]taylor: Taking taylor expansion of 2 in n 1538300254.153 * [misc]backup-simplify: Simplify 2 into 2 1538300254.153 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300254.153 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.153 * [misc]backup-simplify: Simplify PI into PI 1538300254.153 * [misc]taylor: Taking taylor expansion of n in n 1538300254.153 * [misc]backup-simplify: Simplify 0 into 0 1538300254.153 * [misc]backup-simplify: Simplify 1 into 1 1538300254.154 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300254.154 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300254.155 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300254.155 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300254.155 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300254.155 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300254.156 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.156 * [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))) 1538300254.157 * [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)))) 1538300254.157 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300254.157 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of k in n 1538300254.158 * [misc]backup-simplify: Simplify k into k 1538300254.158 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300254.158 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300254.158 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.158 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.158 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of k in n 1538300254.158 * [misc]backup-simplify: Simplify k into k 1538300254.158 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300254.158 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of 2 in n 1538300254.158 * [misc]backup-simplify: Simplify 2 into 2 1538300254.158 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300254.158 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.158 * [misc]backup-simplify: Simplify PI into PI 1538300254.158 * [misc]taylor: Taking taylor expansion of n in n 1538300254.158 * [misc]backup-simplify: Simplify 0 into 0 1538300254.158 * [misc]backup-simplify: Simplify 1 into 1 1538300254.159 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300254.159 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300254.160 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300254.160 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300254.160 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300254.160 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300254.161 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.162 * [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))) 1538300254.162 * [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)))) 1538300254.163 * [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)) 1538300254.163 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1538300254.163 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538300254.163 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538300254.163 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300254.164 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.164 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300254.164 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.164 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300254.164 * [misc]taylor: Taking taylor expansion of k in k 1538300254.164 * [misc]backup-simplify: Simplify 0 into 0 1538300254.164 * [misc]backup-simplify: Simplify 1 into 1 1538300254.164 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300254.164 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538300254.164 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300254.164 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300254.164 * [misc]taylor: Taking taylor expansion of 2 in k 1538300254.164 * [misc]backup-simplify: Simplify 2 into 2 1538300254.164 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.164 * [misc]backup-simplify: Simplify PI into PI 1538300254.164 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300254.165 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300254.165 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300254.165 * [misc]taylor: Taking taylor expansion of n in k 1538300254.165 * [misc]backup-simplify: Simplify n into n 1538300254.165 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300254.165 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300254.166 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300254.166 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300254.166 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300254.166 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538300254.167 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538300254.168 * [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)))) 1538300254.168 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300254.168 * [misc]taylor: Taking taylor expansion of k in k 1538300254.168 * [misc]backup-simplify: Simplify 0 into 0 1538300254.168 * [misc]backup-simplify: Simplify 1 into 1 1538300254.168 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300254.169 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300254.169 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1538300254.169 * [misc]backup-simplify: Simplify 0 into 0 1538300254.171 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300254.171 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300254.175 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300254.175 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300254.175 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300254.175 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.175 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.176 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.177 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538300254.179 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300254.180 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1538300254.180 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.180 * [misc]backup-simplify: Simplify 0 into 0 1538300254.180 * [misc]backup-simplify: Simplify 0 into 0 1538300254.181 * [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)))))) 1538300254.181 * [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)))))) 1538300254.182 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300254.183 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300254.186 * [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 1538300254.187 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.187 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300254.187 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.188 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.188 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538300254.190 * [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 1538300254.190 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1538300254.191 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1538300254.191 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.191 * [misc]backup-simplify: Simplify 0 into 0 1538300254.191 * [misc]backup-simplify: Simplify 0 into 0 1538300254.191 * [misc]backup-simplify: Simplify 0 into 0 1538300254.192 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300254.192 * [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)))))) 1538300254.193 * [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)))))) 1538300254.194 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300254.195 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300254.201 * [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 1538300254.201 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.202 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538300254.202 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.203 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.204 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538300254.208 * [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 1538300254.208 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1538300254.210 * [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 1538300254.210 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.210 * [misc]backup-simplify: Simplify 0 into 0 1538300254.210 * [misc]backup-simplify: Simplify 0 into 0 1538300254.210 * [misc]backup-simplify: Simplify 0 into 0 1538300254.210 * [misc]backup-simplify: Simplify 0 into 0 1538300254.211 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300254.212 * [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)))))) 1538300254.213 * [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)))))) 1538300254.216 * [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)))))))) 1538300254.217 * [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))) 1538300254.217 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1538300254.217 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1538300254.217 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300254.217 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538300254.217 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538300254.217 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300254.217 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300254.217 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.217 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300254.217 * [misc]taylor: Taking taylor expansion of k in k 1538300254.217 * [misc]backup-simplify: Simplify 0 into 0 1538300254.217 * [misc]backup-simplify: Simplify 1 into 1 1538300254.218 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300254.218 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.218 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538300254.218 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538300254.218 * [misc]taylor: Taking taylor expansion of -2 in k 1538300254.218 * [misc]backup-simplify: Simplify -2 into -2 1538300254.218 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300254.218 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.218 * [misc]backup-simplify: Simplify PI into PI 1538300254.218 * [misc]taylor: Taking taylor expansion of n in k 1538300254.218 * [misc]backup-simplify: Simplify n into n 1538300254.218 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300254.218 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538300254.218 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538300254.219 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300254.219 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300254.219 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538300254.219 * [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))) 1538300254.219 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300254.219 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300254.219 * [misc]taylor: Taking taylor expansion of -1 in k 1538300254.219 * [misc]backup-simplify: Simplify -1 into -1 1538300254.219 * [misc]taylor: Taking taylor expansion of k in k 1538300254.219 * [misc]backup-simplify: Simplify 0 into 0 1538300254.219 * [misc]backup-simplify: Simplify 1 into 1 1538300254.220 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300254.220 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300254.220 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300254.221 * [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)))) 1538300254.221 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.221 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.221 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of k in n 1538300254.221 * [misc]backup-simplify: Simplify k into k 1538300254.221 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300254.221 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.221 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.221 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of -2 in n 1538300254.221 * [misc]backup-simplify: Simplify -2 into -2 1538300254.221 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300254.221 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.222 * [misc]backup-simplify: Simplify PI into PI 1538300254.222 * [misc]taylor: Taking taylor expansion of n in n 1538300254.222 * [misc]backup-simplify: Simplify 0 into 0 1538300254.222 * [misc]backup-simplify: Simplify 1 into 1 1538300254.222 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300254.222 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300254.223 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300254.223 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300254.223 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300254.224 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300254.224 * [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))) 1538300254.225 * [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)))) 1538300254.225 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300254.225 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300254.225 * [misc]taylor: Taking taylor expansion of -1 in n 1538300254.225 * [misc]backup-simplify: Simplify -1 into -1 1538300254.225 * [misc]taylor: Taking taylor expansion of k in n 1538300254.225 * [misc]backup-simplify: Simplify k into k 1538300254.226 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300254.226 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300254.226 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300254.226 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300254.227 * [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))) 1538300254.227 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of k in n 1538300254.227 * [misc]backup-simplify: Simplify k into k 1538300254.227 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300254.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.227 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of -2 in n 1538300254.227 * [misc]backup-simplify: Simplify -2 into -2 1538300254.227 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300254.227 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.227 * [misc]backup-simplify: Simplify PI into PI 1538300254.227 * [misc]taylor: Taking taylor expansion of n in n 1538300254.227 * [misc]backup-simplify: Simplify 0 into 0 1538300254.227 * [misc]backup-simplify: Simplify 1 into 1 1538300254.228 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300254.228 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300254.228 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300254.228 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300254.228 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300254.229 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300254.229 * [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))) 1538300254.230 * [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)))) 1538300254.230 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300254.230 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300254.230 * [misc]taylor: Taking taylor expansion of -1 in n 1538300254.230 * [misc]backup-simplify: Simplify -1 into -1 1538300254.230 * [misc]taylor: Taking taylor expansion of k in n 1538300254.230 * [misc]backup-simplify: Simplify k into k 1538300254.230 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300254.230 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300254.230 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300254.230 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300254.231 * [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))) 1538300254.231 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1538300254.231 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538300254.231 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538300254.231 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300254.231 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300254.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.231 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300254.231 * [misc]taylor: Taking taylor expansion of k in k 1538300254.231 * [misc]backup-simplify: Simplify 0 into 0 1538300254.231 * [misc]backup-simplify: Simplify 1 into 1 1538300254.231 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300254.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.231 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538300254.231 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538300254.231 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538300254.231 * [misc]taylor: Taking taylor expansion of -2 in k 1538300254.231 * [misc]backup-simplify: Simplify -2 into -2 1538300254.231 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.231 * [misc]backup-simplify: Simplify PI into PI 1538300254.232 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300254.232 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300254.232 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300254.232 * [misc]taylor: Taking taylor expansion of n in k 1538300254.232 * [misc]backup-simplify: Simplify n into n 1538300254.232 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300254.232 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300254.232 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300254.232 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300254.233 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538300254.233 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538300254.234 * [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)))) 1538300254.234 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300254.234 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300254.234 * [misc]taylor: Taking taylor expansion of -1 in k 1538300254.234 * [misc]backup-simplify: Simplify -1 into -1 1538300254.234 * [misc]taylor: Taking taylor expansion of k in k 1538300254.234 * [misc]backup-simplify: Simplify 0 into 0 1538300254.234 * [misc]backup-simplify: Simplify 1 into 1 1538300254.234 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300254.234 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300254.234 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300254.235 * [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))))) 1538300254.235 * [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))))) 1538300254.236 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300254.236 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538300254.238 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538300254.238 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300254.239 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300254.239 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.239 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300254.240 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538300254.241 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300254.242 * [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 1538300254.242 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.242 * [misc]backup-simplify: Simplify 0 into 0 1538300254.242 * [misc]backup-simplify: Simplify 0 into 0 1538300254.242 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538300254.242 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300254.243 * [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)))))) 1538300254.244 * [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)))))) 1538300254.245 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300254.245 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300254.251 * [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 1538300254.252 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.252 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300254.252 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.253 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300254.254 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538300254.257 * [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 1538300254.257 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.258 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1538300254.259 * [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 1538300254.259 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.259 * [misc]backup-simplify: Simplify 0 into 0 1538300254.259 * [misc]backup-simplify: Simplify 0 into 0 1538300254.259 * [misc]backup-simplify: Simplify 0 into 0 1538300254.260 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300254.261 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300254.263 * [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)))))) 1538300254.264 * [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)))))) 1538300254.269 * [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))))))))))) 1538300254.269 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) 1538300254.270 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1538300254.270 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1538300254.270 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538300254.270 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538300254.270 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538300254.270 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300254.270 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.270 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300254.270 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.270 * [misc]taylor: Taking taylor expansion of k in k 1538300254.270 * [misc]backup-simplify: Simplify 0 into 0 1538300254.270 * [misc]backup-simplify: Simplify 1 into 1 1538300254.270 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538300254.271 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538300254.271 * [misc]taylor: Taking taylor expansion of 2 in k 1538300254.271 * [misc]backup-simplify: Simplify 2 into 2 1538300254.271 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538300254.271 * [misc]taylor: Taking taylor expansion of n in k 1538300254.271 * [misc]backup-simplify: Simplify n into n 1538300254.271 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.271 * [misc]backup-simplify: Simplify PI into PI 1538300254.271 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538300254.271 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538300254.271 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538300254.272 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300254.272 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.272 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300254.272 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538300254.272 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538300254.272 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300254.272 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300254.272 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300254.272 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300254.272 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.273 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300254.273 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.273 * [misc]taylor: Taking taylor expansion of k in n 1538300254.273 * [misc]backup-simplify: Simplify k into k 1538300254.273 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300254.273 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300254.273 * [misc]taylor: Taking taylor expansion of 2 in n 1538300254.273 * [misc]backup-simplify: Simplify 2 into 2 1538300254.273 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300254.273 * [misc]taylor: Taking taylor expansion of n in n 1538300254.273 * [misc]backup-simplify: Simplify 0 into 0 1538300254.273 * [misc]backup-simplify: Simplify 1 into 1 1538300254.273 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.273 * [misc]backup-simplify: Simplify PI into PI 1538300254.273 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300254.274 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300254.274 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300254.275 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300254.276 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300254.276 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300254.276 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300254.276 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300254.277 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300254.277 * [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)))) 1538300254.278 * [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))))) 1538300254.278 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300254.278 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300254.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300254.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300254.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.278 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300254.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.278 * [misc]taylor: Taking taylor expansion of k in n 1538300254.278 * [misc]backup-simplify: Simplify k into k 1538300254.278 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300254.278 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300254.279 * [misc]taylor: Taking taylor expansion of 2 in n 1538300254.279 * [misc]backup-simplify: Simplify 2 into 2 1538300254.279 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300254.279 * [misc]taylor: Taking taylor expansion of n in n 1538300254.279 * [misc]backup-simplify: Simplify 0 into 0 1538300254.279 * [misc]backup-simplify: Simplify 1 into 1 1538300254.279 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.279 * [misc]backup-simplify: Simplify PI into PI 1538300254.279 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300254.279 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300254.280 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300254.281 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300254.282 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300254.282 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300254.282 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300254.282 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300254.283 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300254.283 * [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)))) 1538300254.284 * [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))))) 1538300254.284 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538300254.284 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538300254.284 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300254.284 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.285 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300254.285 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.285 * [misc]taylor: Taking taylor expansion of k in k 1538300254.285 * [misc]backup-simplify: Simplify 0 into 0 1538300254.285 * [misc]backup-simplify: Simplify 1 into 1 1538300254.285 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538300254.285 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300254.285 * [misc]taylor: Taking taylor expansion of n in k 1538300254.285 * [misc]backup-simplify: Simplify n into n 1538300254.285 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300254.285 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300254.285 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300254.285 * [misc]taylor: Taking taylor expansion of 2 in k 1538300254.285 * [misc]backup-simplify: Simplify 2 into 2 1538300254.285 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.285 * [misc]backup-simplify: Simplify PI into PI 1538300254.285 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300254.286 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300254.286 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300254.286 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.286 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300254.287 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300254.288 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538300254.288 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538300254.289 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538300254.290 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538300254.291 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538300254.294 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300254.295 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538300254.295 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.295 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.296 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300254.296 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538300254.297 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300254.297 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.297 * [misc]backup-simplify: Simplify 0 into 0 1538300254.297 * [misc]backup-simplify: Simplify 0 into 0 1538300254.298 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538300254.298 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300254.300 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300254.301 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.301 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300254.301 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300254.301 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300254.301 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538300254.303 * [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))))))) 1538300254.304 * [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))))))) 1538300254.305 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300254.306 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538300254.309 * [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 1538300254.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538300254.310 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.310 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.310 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300254.311 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300254.312 * [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 1538300254.312 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.312 * [misc]backup-simplify: Simplify 0 into 0 1538300254.313 * [misc]backup-simplify: Simplify 0 into 0 1538300254.313 * [misc]backup-simplify: Simplify 0 into 0 1538300254.314 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538300254.314 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300254.318 * [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 1538300254.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.318 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300254.318 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.319 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300254.321 * [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))))) 1538300254.324 * [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))))) 1538300254.329 * [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))))) 1538300254.329 * [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)))) 1538300254.329 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538300254.329 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300254.329 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538300254.329 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538300254.329 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300254.329 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.329 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300254.329 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.329 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300254.329 * [misc]taylor: Taking taylor expansion of k in k 1538300254.329 * [misc]backup-simplify: Simplify 0 into 0 1538300254.329 * [misc]backup-simplify: Simplify 1 into 1 1538300254.329 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300254.329 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538300254.329 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538300254.329 * [misc]taylor: Taking taylor expansion of 2 in k 1538300254.329 * [misc]backup-simplify: Simplify 2 into 2 1538300254.329 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300254.329 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.329 * [misc]backup-simplify: Simplify PI into PI 1538300254.330 * [misc]taylor: Taking taylor expansion of n in k 1538300254.330 * [misc]backup-simplify: Simplify n into n 1538300254.330 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300254.330 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538300254.330 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538300254.330 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300254.330 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300254.330 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300254.330 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538300254.331 * [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)))) 1538300254.331 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300254.331 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300254.331 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300254.331 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300254.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.331 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300254.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.331 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300254.331 * [misc]taylor: Taking taylor expansion of k in n 1538300254.331 * [misc]backup-simplify: Simplify k into k 1538300254.331 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300254.331 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300254.331 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300254.331 * [misc]taylor: Taking taylor expansion of 2 in n 1538300254.331 * [misc]backup-simplify: Simplify 2 into 2 1538300254.331 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300254.331 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.331 * [misc]backup-simplify: Simplify PI into PI 1538300254.331 * [misc]taylor: Taking taylor expansion of n in n 1538300254.331 * [misc]backup-simplify: Simplify 0 into 0 1538300254.331 * [misc]backup-simplify: Simplify 1 into 1 1538300254.331 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300254.331 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300254.332 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300254.332 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300254.332 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300254.332 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300254.332 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.333 * [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))) 1538300254.333 * [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)))) 1538300254.333 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300254.333 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300254.333 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300254.333 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300254.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.334 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300254.334 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.334 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300254.334 * [misc]taylor: Taking taylor expansion of k in n 1538300254.334 * [misc]backup-simplify: Simplify k into k 1538300254.334 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300254.334 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300254.334 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300254.334 * [misc]taylor: Taking taylor expansion of 2 in n 1538300254.334 * [misc]backup-simplify: Simplify 2 into 2 1538300254.334 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300254.334 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.334 * [misc]backup-simplify: Simplify PI into PI 1538300254.334 * [misc]taylor: Taking taylor expansion of n in n 1538300254.334 * [misc]backup-simplify: Simplify 0 into 0 1538300254.334 * [misc]backup-simplify: Simplify 1 into 1 1538300254.334 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300254.334 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300254.335 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300254.335 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300254.335 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300254.335 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300254.335 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.336 * [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))) 1538300254.336 * [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)))) 1538300254.336 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538300254.336 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538300254.336 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300254.336 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.336 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300254.336 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.336 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300254.336 * [misc]taylor: Taking taylor expansion of k in k 1538300254.336 * [misc]backup-simplify: Simplify 0 into 0 1538300254.336 * [misc]backup-simplify: Simplify 1 into 1 1538300254.336 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300254.337 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538300254.337 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300254.337 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300254.337 * [misc]taylor: Taking taylor expansion of 2 in k 1538300254.337 * [misc]backup-simplify: Simplify 2 into 2 1538300254.337 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.337 * [misc]backup-simplify: Simplify PI into PI 1538300254.337 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300254.337 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300254.337 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300254.337 * [misc]taylor: Taking taylor expansion of n in k 1538300254.337 * [misc]backup-simplify: Simplify n into n 1538300254.337 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300254.337 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300254.337 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300254.338 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300254.338 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300254.338 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538300254.338 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538300254.339 * [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)))) 1538300254.339 * [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)))) 1538300254.340 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300254.340 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300254.342 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300254.342 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300254.343 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300254.343 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.343 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.343 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.344 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538300254.345 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300254.345 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.345 * [misc]backup-simplify: Simplify 0 into 0 1538300254.345 * [misc]backup-simplify: Simplify 0 into 0 1538300254.345 * [misc]backup-simplify: Simplify 0 into 0 1538300254.346 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300254.347 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300254.350 * [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 1538300254.350 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.350 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300254.350 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.351 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.351 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.352 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538300254.353 * [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 1538300254.353 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.353 * [misc]backup-simplify: Simplify 0 into 0 1538300254.353 * [misc]backup-simplify: Simplify 0 into 0 1538300254.353 * [misc]backup-simplify: Simplify 0 into 0 1538300254.353 * [misc]backup-simplify: Simplify 0 into 0 1538300254.354 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300254.355 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300254.361 * [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 1538300254.361 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.361 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538300254.362 * [misc]backup-simplify: Simplify (- 0) into 0 1538300254.362 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.362 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300254.363 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538300254.365 * [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 1538300254.365 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.365 * [misc]backup-simplify: Simplify 0 into 0 1538300254.365 * [misc]backup-simplify: Simplify 0 into 0 1538300254.366 * [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))))) 1538300254.366 * [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)) 1538300254.366 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538300254.366 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300254.366 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538300254.366 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538300254.366 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300254.366 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300254.366 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.366 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300254.366 * [misc]taylor: Taking taylor expansion of k in k 1538300254.366 * [misc]backup-simplify: Simplify 0 into 0 1538300254.366 * [misc]backup-simplify: Simplify 1 into 1 1538300254.366 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300254.366 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.366 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538300254.366 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538300254.366 * [misc]taylor: Taking taylor expansion of -2 in k 1538300254.366 * [misc]backup-simplify: Simplify -2 into -2 1538300254.366 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300254.366 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.367 * [misc]backup-simplify: Simplify PI into PI 1538300254.367 * [misc]taylor: Taking taylor expansion of n in k 1538300254.367 * [misc]backup-simplify: Simplify n into n 1538300254.367 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300254.367 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538300254.367 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538300254.367 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300254.367 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300254.367 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538300254.367 * [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))) 1538300254.367 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300254.367 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300254.367 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300254.367 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300254.367 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300254.367 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300254.367 * [misc]taylor: Taking taylor expansion of k in n 1538300254.368 * [misc]backup-simplify: Simplify k into k 1538300254.368 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300254.368 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.368 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300254.368 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300254.368 * [misc]taylor: Taking taylor expansion of -2 in n 1538300254.368 * [misc]backup-simplify: Simplify -2 into -2 1538300254.368 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300254.368 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.368 * [misc]backup-simplify: Simplify PI into PI 1538300254.368 * [misc]taylor: Taking taylor expansion of n in n 1538300254.368 * [misc]backup-simplify: Simplify 0 into 0 1538300254.368 * [misc]backup-simplify: Simplify 1 into 1 1538300254.368 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300254.368 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300254.369 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300254.369 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300254.369 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300254.369 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300254.370 * [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))) 1538300254.370 * [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)))) 1538300254.370 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300254.370 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300254.370 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300254.370 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300254.370 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300254.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300254.370 * [misc]taylor: Taking taylor expansion of k in n 1538300254.370 * [misc]backup-simplify: Simplify k into k 1538300254.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300254.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300254.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.370 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300254.371 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300254.371 * [misc]taylor: Taking taylor expansion of -2 in n 1538300254.371 * [misc]backup-simplify: Simplify -2 into -2 1538300254.371 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300254.371 * [misc]taylor: Taking taylor expansion of PI in n 1538300254.371 * [misc]backup-simplify: Simplify PI into PI 1538300254.371 * [misc]taylor: Taking taylor expansion of n in n 1538300254.371 * [misc]backup-simplify: Simplify 0 into 0 1538300254.371 * [misc]backup-simplify: Simplify 1 into 1 1538300254.371 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300254.371 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300254.371 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300254.371 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300254.371 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300254.372 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300254.372 * [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))) 1538300254.373 * [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)))) 1538300254.373 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538300254.373 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538300254.373 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300254.373 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300254.373 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.373 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300254.373 * [misc]taylor: Taking taylor expansion of k in k 1538300254.373 * [misc]backup-simplify: Simplify 0 into 0 1538300254.373 * [misc]backup-simplify: Simplify 1 into 1 1538300254.375 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300254.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300254.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300254.375 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538300254.375 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538300254.375 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538300254.375 * [misc]taylor: Taking taylor expansion of -2 in k 1538300254.375 * [misc]backup-simplify: Simplify -2 into -2 1538300254.375 * [misc]taylor: Taking taylor expansion of PI in k 1538300254.375 * [misc]backup-simplify: Simplify PI into PI 1538300254.375 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300254.375 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300254.375 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300254.376 * [misc]taylor: Taking taylor expansion of n in k 1538300254.376 * [misc]backup-simplify: Simplify n into n 1538300254.376 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300254.376 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300254.376 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300254.376 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300254.376 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538300254.377 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538300254.377 * [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)))) 1538300254.378 * [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)))) 1538300254.378 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300254.379 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538300254.381 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538300254.381 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300254.381 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300254.381 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.382 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300254.382 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538300254.383 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300254.383 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.384 * [misc]backup-simplify: Simplify 0 into 0 1538300254.384 * [misc]backup-simplify: Simplify 0 into 0 1538300254.384 * [misc]backup-simplify: Simplify 0 into 0 1538300254.385 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300254.386 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300254.392 * [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 1538300254.393 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300254.393 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.394 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300254.395 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538300254.398 * [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 1538300254.398 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.398 * [misc]backup-simplify: Simplify 0 into 0 1538300254.398 * [misc]backup-simplify: Simplify 0 into 0 1538300254.398 * [misc]backup-simplify: Simplify 0 into 0 1538300254.398 * [misc]backup-simplify: Simplify 0 into 0 1538300254.400 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300254.402 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300254.412 * [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 1538300254.412 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300254.413 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538300254.413 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300254.414 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300254.415 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1538300254.417 * [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 1538300254.417 * [misc]taylor: Taking taylor expansion of 0 in k 1538300254.417 * [misc]backup-simplify: Simplify 0 into 0 1538300254.417 * [misc]backup-simplify: Simplify 0 into 0 1538300254.418 * [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))))) 1538300254.418 * * * [misc]progress: simplifying candidates 1538300254.418 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1538300254.418 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1538300254.419 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1538300254.419 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1538300254.419 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300254.420 * * [misc]simplify: iters left: 6 (14 enodes) 1538300254.423 * * [misc]simplify: iters left: 5 (27 enodes) 1538300254.431 * * [misc]simplify: iters left: 4 (55 enodes) 1538300254.450 * * [misc]simplify: iters left: 3 (144 enodes) 1538300254.602 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1538300254.602 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1538300254.602 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1538300254.603 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300254.604 * * [misc]simplify: iters left: 6 (14 enodes) 1538300254.609 * * [misc]simplify: iters left: 5 (27 enodes) 1538300254.617 * * [misc]simplify: iters left: 4 (55 enodes) 1538300254.636 * * [misc]simplify: iters left: 3 (144 enodes) 1538300254.761 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1538300254.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1538300254.761 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1538300254.761 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1538300254.763 * * [misc]simplify: iters left: 6 (14 enodes) 1538300254.769 * * [misc]simplify: iters left: 5 (24 enodes) 1538300254.781 * * [misc]simplify: iters left: 4 (43 enodes) 1538300254.799 * * [misc]simplify: iters left: 3 (73 enodes) 1538300254.862 * * [misc]simplify: iters left: 2 (220 enodes) 1538300255.203 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1538300255.204 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1538300255.204 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1538300255.204 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1538300255.204 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1538300255.204 * [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))) 1538300255.205 * * [misc]simplify: iters left: 6 (16 enodes) 1538300255.211 * * [misc]simplify: iters left: 5 (31 enodes) 1538300255.226 * * [misc]simplify: iters left: 4 (67 enodes) 1538300255.257 * * [misc]simplify: iters left: 3 (124 enodes) 1538300255.314 * * [misc]simplify: iters left: 2 (195 enodes) 1538300255.396 * * [misc]simplify: iters left: 1 (309 enodes) 1538300255.618 * [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)))) 1538300255.618 * [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)))))) 1538300255.618 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1538300255.619 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1538300255.619 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1538300255.619 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1538300255.619 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1538300255.619 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300255.620 * * [misc]simplify: iters left: 6 (12 enodes) 1538300255.625 * * [misc]simplify: iters left: 5 (19 enodes) 1538300255.631 * * [misc]simplify: iters left: 4 (25 enodes) 1538300255.638 * * [misc]simplify: iters left: 3 (26 enodes) 1538300255.647 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300255.647 * [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))))) 1538300255.647 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538300255.649 * * [misc]simplify: iters left: 6 (12 enodes) 1538300255.652 * * [misc]simplify: iters left: 5 (18 enodes) 1538300255.655 * * [misc]simplify: iters left: 4 (24 enodes) 1538300255.659 * * [misc]simplify: iters left: 3 (25 enodes) 1538300255.663 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538300255.663 * [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))))) 1538300255.663 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1538300255.663 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538300255.664 * * [misc]simplify: iters left: 6 (11 enodes) 1538300255.666 * * [misc]simplify: iters left: 5 (16 enodes) 1538300255.669 * * [misc]simplify: iters left: 4 (22 enodes) 1538300255.673 * * [misc]simplify: iters left: 3 (24 enodes) 1538300255.678 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538300255.678 * [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))))) 1538300255.678 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538300255.679 * * [misc]simplify: iters left: 6 (12 enodes) 1538300255.684 * * [misc]simplify: iters left: 5 (18 enodes) 1538300255.690 * * [misc]simplify: iters left: 4 (24 enodes) 1538300255.700 * * [misc]simplify: iters left: 3 (25 enodes) 1538300255.709 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538300255.709 * [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))))) 1538300255.709 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1538300255.709 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538300255.710 * * [misc]simplify: iters left: 6 (9 enodes) 1538300255.714 * * [misc]simplify: iters left: 5 (16 enodes) 1538300255.721 * * [misc]simplify: iters left: 4 (24 enodes) 1538300255.728 * * [misc]simplify: iters left: 3 (26 enodes) 1538300255.733 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538300255.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1538300255.733 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538300255.734 * * [misc]simplify: iters left: 6 (11 enodes) 1538300255.736 * * [misc]simplify: iters left: 5 (17 enodes) 1538300255.739 * * [misc]simplify: iters left: 4 (23 enodes) 1538300255.743 * * [misc]simplify: iters left: 3 (24 enodes) 1538300255.747 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538300255.747 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1538300255.747 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1538300255.747 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300255.748 * * [misc]simplify: iters left: 6 (12 enodes) 1538300255.750 * * [misc]simplify: iters left: 5 (19 enodes) 1538300255.754 * * [misc]simplify: iters left: 4 (25 enodes) 1538300255.757 * * [misc]simplify: iters left: 3 (26 enodes) 1538300255.764 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300255.764 * [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))))) 1538300255.765 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538300255.766 * * [misc]simplify: iters left: 6 (12 enodes) 1538300255.769 * * [misc]simplify: iters left: 5 (18 enodes) 1538300255.772 * * [misc]simplify: iters left: 4 (24 enodes) 1538300255.776 * * [misc]simplify: iters left: 3 (25 enodes) 1538300255.780 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538300255.780 * [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))))) 1538300255.780 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1538300255.780 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538300255.783 * * [misc]simplify: iters left: 6 (11 enodes) 1538300255.785 * * [misc]simplify: iters left: 5 (16 enodes) 1538300255.788 * * [misc]simplify: iters left: 4 (22 enodes) 1538300255.791 * * [misc]simplify: iters left: 3 (24 enodes) 1538300255.795 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538300255.795 * [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))))) 1538300255.795 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538300255.797 * * [misc]simplify: iters left: 6 (12 enodes) 1538300255.802 * * [misc]simplify: iters left: 5 (18 enodes) 1538300255.808 * * [misc]simplify: iters left: 4 (24 enodes) 1538300255.816 * * [misc]simplify: iters left: 3 (25 enodes) 1538300255.825 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538300255.825 * [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))))) 1538300255.825 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1538300255.825 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538300255.827 * * [misc]simplify: iters left: 6 (9 enodes) 1538300255.832 * * [misc]simplify: iters left: 5 (16 enodes) 1538300255.839 * * [misc]simplify: iters left: 4 (24 enodes) 1538300255.846 * * [misc]simplify: iters left: 3 (26 enodes) 1538300255.854 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538300255.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1538300255.854 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538300255.855 * * [misc]simplify: iters left: 6 (11 enodes) 1538300255.860 * * [misc]simplify: iters left: 5 (17 enodes) 1538300255.865 * * [misc]simplify: iters left: 4 (23 enodes) 1538300255.869 * * [misc]simplify: iters left: 3 (24 enodes) 1538300255.873 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538300255.873 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1538300255.873 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1538300255.873 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300255.874 * * [misc]simplify: iters left: 6 (11 enodes) 1538300255.876 * * [misc]simplify: iters left: 5 (15 enodes) 1538300255.879 * * [misc]simplify: iters left: 4 (18 enodes) 1538300255.882 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300255.882 * [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))))) 1538300255.882 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300255.884 * * [misc]simplify: iters left: 6 (11 enodes) 1538300255.886 * * [misc]simplify: iters left: 5 (14 enodes) 1538300255.888 * * [misc]simplify: iters left: 4 (17 enodes) 1538300255.891 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300255.891 * [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))))) 1538300255.891 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1538300255.891 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300255.892 * * [misc]simplify: iters left: 6 (10 enodes) 1538300255.893 * * [misc]simplify: iters left: 5 (12 enodes) 1538300255.895 * * [misc]simplify: iters left: 4 (15 enodes) 1538300255.898 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300255.898 * [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))))) 1538300255.898 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300255.899 * * [misc]simplify: iters left: 6 (11 enodes) 1538300255.901 * * [misc]simplify: iters left: 5 (14 enodes) 1538300255.903 * * [misc]simplify: iters left: 4 (17 enodes) 1538300255.906 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300255.907 * [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))))) 1538300255.907 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1538300255.907 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1538300255.907 * * [misc]simplify: iters left: 6 (9 enodes) 1538300255.909 * * [misc]simplify: iters left: 5 (13 enodes) 1538300255.912 * * [misc]simplify: iters left: 4 (18 enodes) 1538300255.914 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538300255.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1538300255.915 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300255.915 * * [misc]simplify: iters left: 6 (10 enodes) 1538300255.917 * * [misc]simplify: iters left: 5 (13 enodes) 1538300255.919 * * [misc]simplify: iters left: 4 (16 enodes) 1538300255.925 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300255.925 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1538300255.925 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1538300255.926 * [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)))) 1538300255.928 * * [misc]simplify: iters left: 6 (16 enodes) 1538300255.937 * * [misc]simplify: iters left: 5 (28 enodes) 1538300255.949 * * [misc]simplify: iters left: 4 (46 enodes) 1538300255.964 * * [misc]simplify: iters left: 3 (50 enodes) 1538300255.979 * * [misc]simplify: iters left: 2 (53 enodes) 1538300256.003 * [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)))) 1538300256.003 * [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))))) 1538300256.003 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300256.005 * * [misc]simplify: iters left: 6 (14 enodes) 1538300256.011 * * [misc]simplify: iters left: 5 (20 enodes) 1538300256.019 * * [misc]simplify: iters left: 4 (29 enodes) 1538300256.029 * * [misc]simplify: iters left: 3 (30 enodes) 1538300256.039 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300256.039 * [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))))) 1538300256.039 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1538300256.039 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538300256.041 * * [misc]simplify: iters left: 6 (15 enodes) 1538300256.047 * * [misc]simplify: iters left: 5 (23 enodes) 1538300256.057 * * [misc]simplify: iters left: 4 (34 enodes) 1538300256.069 * * [misc]simplify: iters left: 3 (37 enodes) 1538300256.082 * [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)))))) 1538300256.082 * [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))))) 1538300256.082 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300256.083 * * [misc]simplify: iters left: 6 (14 enodes) 1538300256.086 * * [misc]simplify: iters left: 5 (20 enodes) 1538300256.091 * * [misc]simplify: iters left: 4 (29 enodes) 1538300256.096 * * [misc]simplify: iters left: 3 (30 enodes) 1538300256.103 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300256.103 * [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))))) 1538300256.104 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1538300256.104 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1538300256.105 * * [misc]simplify: iters left: 6 (14 enodes) 1538300256.109 * * [misc]simplify: iters left: 5 (24 enodes) 1538300256.120 * * [misc]simplify: iters left: 4 (39 enodes) 1538300256.134 * * [misc]simplify: iters left: 3 (54 enodes) 1538300256.154 * * [misc]simplify: iters left: 2 (80 enodes) 1538300256.178 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1538300256.178 * [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)))) 1538300256.178 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538300256.180 * * [misc]simplify: iters left: 6 (13 enodes) 1538300256.185 * * [misc]simplify: iters left: 5 (19 enodes) 1538300256.193 * * [misc]simplify: iters left: 4 (28 enodes) 1538300256.202 * * [misc]simplify: iters left: 3 (30 enodes) 1538300256.213 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538300256.213 * [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)))) 1538300256.213 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1538300256.213 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300256.215 * * [misc]simplify: iters left: 6 (15 enodes) 1538300256.221 * * [misc]simplify: iters left: 5 (23 enodes) 1538300256.230 * * [misc]simplify: iters left: 4 (32 enodes) 1538300256.243 * * [misc]simplify: iters left: 3 (34 enodes) 1538300256.255 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300256.255 * [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))))) 1538300256.256 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300256.257 * * [misc]simplify: iters left: 6 (14 enodes) 1538300256.263 * * [misc]simplify: iters left: 5 (20 enodes) 1538300256.271 * * [misc]simplify: iters left: 4 (29 enodes) 1538300256.280 * * [misc]simplify: iters left: 3 (30 enodes) 1538300256.290 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300256.291 * [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))))) 1538300256.291 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1538300256.291 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300256.293 * * [misc]simplify: iters left: 6 (14 enodes) 1538300256.299 * * [misc]simplify: iters left: 5 (20 enodes) 1538300256.307 * * [misc]simplify: iters left: 4 (29 enodes) 1538300256.317 * * [misc]simplify: iters left: 3 (30 enodes) 1538300256.327 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300256.327 * [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))))) 1538300256.327 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300256.328 * * [misc]simplify: iters left: 6 (14 enodes) 1538300256.331 * * [misc]simplify: iters left: 5 (20 enodes) 1538300256.335 * * [misc]simplify: iters left: 4 (29 enodes) 1538300256.339 * * [misc]simplify: iters left: 3 (30 enodes) 1538300256.344 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300256.344 * [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))))) 1538300256.344 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1538300256.344 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1538300256.345 * * [misc]simplify: iters left: 6 (13 enodes) 1538300256.349 * * [misc]simplify: iters left: 5 (21 enodes) 1538300256.354 * * [misc]simplify: iters left: 4 (32 enodes) 1538300256.358 * * [misc]simplify: iters left: 3 (33 enodes) 1538300256.363 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1538300256.363 * [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)))) 1538300256.363 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538300256.364 * * [misc]simplify: iters left: 6 (13 enodes) 1538300256.367 * * [misc]simplify: iters left: 5 (19 enodes) 1538300256.375 * * [misc]simplify: iters left: 4 (28 enodes) 1538300256.384 * * [misc]simplify: iters left: 3 (30 enodes) 1538300256.394 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538300256.394 * [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)))) 1538300256.394 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1538300256.395 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300256.395 * * [misc]simplify: iters left: 6 (6 enodes) 1538300256.398 * * [misc]simplify: iters left: 5 (10 enodes) 1538300256.402 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1538300256.402 * [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))))) 1538300256.402 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300256.403 * * [misc]simplify: iters left: 6 (13 enodes) 1538300256.409 * * [misc]simplify: iters left: 5 (19 enodes) 1538300256.417 * * [misc]simplify: iters left: 4 (28 enodes) 1538300256.427 * * [misc]simplify: iters left: 3 (30 enodes) 1538300256.437 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300256.437 * [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))))) 1538300256.437 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1538300256.438 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1538300256.438 * * [misc]simplify: iters left: 4 (5 enodes) 1538300256.440 * * [misc]simplify: iters left: 3 (7 enodes) 1538300256.443 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538300256.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1538300256.443 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300256.444 * * [misc]simplify: iters left: 6 (13 enodes) 1538300256.447 * * [misc]simplify: iters left: 5 (19 enodes) 1538300256.450 * * [misc]simplify: iters left: 4 (28 enodes) 1538300256.456 * * [misc]simplify: iters left: 3 (30 enodes) 1538300256.461 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300256.461 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1538300256.461 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1538300256.462 * [enter]simplify: Simplifying (/ 1 1) 1538300256.462 * * [misc]simplify: iters left: 2 (2 enodes) 1538300256.462 * * [misc]simplify: iters left: 1 (4 enodes) 1538300256.463 * [exit]simplify: Simplified to 1 1538300256.463 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538300256.463 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538300256.463 * * [misc]simplify: iters left: 6 (12 enodes) 1538300256.466 * * [misc]simplify: iters left: 5 (18 enodes) 1538300256.470 * * [misc]simplify: iters left: 4 (27 enodes) 1538300256.474 * * [misc]simplify: iters left: 3 (29 enodes) 1538300256.479 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1538300256.479 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538300256.479 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1538300256.479 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1538300256.479 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1538300256.479 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1538300256.479 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1538300256.480 * * [misc]simplify: iters left: 2 (3 enodes) 1538300256.480 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1538300256.480 * [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)))) 1538300256.480 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1538300256.480 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538300256.480 * * [misc]simplify: iters left: 2 (3 enodes) 1538300256.481 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538300256.481 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1538300256.481 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1538300256.481 * [enter]simplify: Simplifying (sqrt k) 1538300256.481 * * [misc]simplify: iters left: 1 (2 enodes) 1538300256.482 * [exit]simplify: Simplified to (sqrt k) 1538300256.482 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1538300256.482 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1538300256.482 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538300256.482 * * [misc]simplify: iters left: 5 (7 enodes) 1538300256.484 * * [misc]simplify: iters left: 4 (12 enodes) 1538300256.486 * * [misc]simplify: iters left: 3 (18 enodes) 1538300256.489 * * [misc]simplify: iters left: 2 (20 enodes) 1538300256.492 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538300256.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1538300256.492 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1538300256.493 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538300256.493 * * [misc]simplify: iters left: 5 (7 enodes) 1538300256.495 * * [misc]simplify: iters left: 4 (12 enodes) 1538300256.498 * * [misc]simplify: iters left: 3 (18 enodes) 1538300256.501 * * [misc]simplify: iters left: 2 (20 enodes) 1538300256.504 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538300256.504 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1538300256.504 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1538300256.504 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538300256.505 * * [misc]simplify: iters left: 5 (7 enodes) 1538300256.506 * * [misc]simplify: iters left: 4 (9 enodes) 1538300256.507 * * [misc]simplify: iters left: 3 (12 enodes) 1538300256.509 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538300256.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538300256.510 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1538300256.510 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1538300256.510 * * [misc]simplify: iters left: 6 (12 enodes) 1538300256.513 * * [misc]simplify: iters left: 5 (18 enodes) 1538300256.517 * * [misc]simplify: iters left: 4 (27 enodes) 1538300256.521 * * [misc]simplify: iters left: 3 (29 enodes) 1538300256.527 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1538300256.527 * [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))))))) 1538300256.527 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1538300256.528 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1538300256.528 * * [misc]simplify: iters left: 6 (11 enodes) 1538300256.531 * * [misc]simplify: iters left: 5 (17 enodes) 1538300256.534 * * [misc]simplify: iters left: 4 (26 enodes) 1538300256.541 * * [misc]simplify: iters left: 3 (27 enodes) 1538300256.549 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1538300256.549 * [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))))))) 1538300256.549 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1538300256.549 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1538300256.550 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538300256.550 * * [misc]simplify: iters left: 5 (7 enodes) 1538300256.553 * * [misc]simplify: iters left: 4 (12 enodes) 1538300256.558 * * [misc]simplify: iters left: 3 (18 enodes) 1538300256.564 * * [misc]simplify: iters left: 2 (20 enodes) 1538300256.571 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538300256.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1538300256.571 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1538300256.571 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1538300256.571 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1538300256.571 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1538300256.572 * * [misc]simplify: iters left: 6 (11 enodes) 1538300256.578 * * [misc]simplify: iters left: 5 (21 enodes) 1538300256.590 * * [misc]simplify: iters left: 4 (47 enodes) 1538300256.619 * * [misc]simplify: iters left: 3 (113 enodes) 1538300256.677 * * [misc]simplify: iters left: 2 (328 enodes) 1538300257.215 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1538300257.215 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1538300257.215 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1538300257.215 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1538300257.216 * [enter]simplify: Simplifying (* PI (* n 2)) 1538300257.216 * * [misc]simplify: iters left: 4 (5 enodes) 1538300257.219 * * [misc]simplify: iters left: 3 (9 enodes) 1538300257.223 * * [misc]simplify: iters left: 2 (15 enodes) 1538300257.228 * * [misc]simplify: iters left: 1 (17 enodes) 1538300257.233 * [exit]simplify: Simplified to (* (* 2 n) PI) 1538300257.233 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1538300257.233 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1538300257.233 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1538300257.234 * * [misc]simplify: iters left: 5 (8 enodes) 1538300257.237 * * [misc]simplify: iters left: 4 (12 enodes) 1538300257.242 * * [misc]simplify: iters left: 3 (18 enodes) 1538300257.247 * * [misc]simplify: iters left: 2 (20 enodes) 1538300257.253 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1538300257.253 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1538300257.253 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1538300257.254 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538300257.254 * * [misc]simplify: iters left: 5 (6 enodes) 1538300257.257 * * [misc]simplify: iters left: 4 (8 enodes) 1538300257.260 * * [misc]simplify: iters left: 3 (11 enodes) 1538300257.263 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538300257.263 * [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))) 1538300257.263 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1538300257.263 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538300257.264 * * [misc]simplify: iters left: 5 (6 enodes) 1538300257.266 * * [misc]simplify: iters left: 4 (8 enodes) 1538300257.269 * * [misc]simplify: iters left: 3 (11 enodes) 1538300257.272 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538300257.272 * [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))) 1538300257.272 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1538300257.272 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538300257.273 * * [misc]simplify: iters left: 4 (5 enodes) 1538300257.274 * * [misc]simplify: iters left: 3 (7 enodes) 1538300257.277 * * [misc]simplify: iters left: 2 (10 enodes) 1538300257.280 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538300257.280 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1538300257.280 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1538300257.280 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1538300257.281 * * [misc]simplify: iters left: 5 (9 enodes) 1538300257.285 * * [misc]simplify: iters left: 4 (15 enodes) 1538300257.290 * * [misc]simplify: iters left: 3 (21 enodes) 1538300257.297 * * [misc]simplify: iters left: 2 (22 enodes) 1538300257.304 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1538300257.304 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1538300257.304 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1538300257.304 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1538300257.305 * * [misc]simplify: iters left: 5 (9 enodes) 1538300257.309 * * [misc]simplify: iters left: 4 (15 enodes) 1538300257.314 * * [misc]simplify: iters left: 3 (21 enodes) 1538300257.320 * * [misc]simplify: iters left: 2 (22 enodes) 1538300257.327 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1538300257.327 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1538300257.327 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1538300257.327 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538300257.328 * * [misc]simplify: iters left: 5 (7 enodes) 1538300257.330 * * [misc]simplify: iters left: 4 (9 enodes) 1538300257.333 * * [misc]simplify: iters left: 3 (12 enodes) 1538300257.336 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538300257.336 * [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))) 1538300257.336 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1538300257.336 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1538300257.336 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1538300257.336 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1538300257.336 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1538300257.336 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1538300257.336 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1538300257.336 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1538300257.336 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300257.337 * * [misc]simplify: iters left: 4 (5 enodes) 1538300257.338 * * [misc]simplify: iters left: 3 (9 enodes) 1538300257.340 * * [misc]simplify: iters left: 2 (15 enodes) 1538300257.343 * * [misc]simplify: iters left: 1 (17 enodes) 1538300257.345 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300257.345 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538300257.345 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1538300257.345 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300257.346 * * [misc]simplify: iters left: 4 (5 enodes) 1538300257.347 * * [misc]simplify: iters left: 3 (9 enodes) 1538300257.349 * * [misc]simplify: iters left: 2 (15 enodes) 1538300257.351 * * [misc]simplify: iters left: 1 (17 enodes) 1538300257.354 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300257.354 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538300257.354 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1538300257.354 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300257.354 * * [misc]simplify: iters left: 4 (5 enodes) 1538300257.356 * * [misc]simplify: iters left: 3 (9 enodes) 1538300257.358 * * [misc]simplify: iters left: 2 (15 enodes) 1538300257.360 * * [misc]simplify: iters left: 1 (17 enodes) 1538300257.363 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300257.363 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538300257.363 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1538300257.364 * [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)))))))))))))))))))))) 1538300257.364 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538300257.364 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1538300257.364 * [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)))))))) 1538300257.364 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538300257.364 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1538300257.364 * [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))))))))))) 1538300257.364 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538300257.364 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1538300257.365 * [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))))) 1538300257.368 * * [misc]simplify: iters left: 6 (37 enodes) 1538300257.393 * * [misc]simplify: iters left: 5 (108 enodes) 1538300257.441 * * [misc]simplify: iters left: 4 (368 enodes) 1538300258.101 * [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)))))) 1538300258.101 * [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))) 1538300258.101 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1538300258.102 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1538300258.103 * * [misc]simplify: iters left: 6 (15 enodes) 1538300258.113 * * [misc]simplify: iters left: 5 (33 enodes) 1538300258.129 * * [misc]simplify: iters left: 4 (64 enodes) 1538300258.155 * * [misc]simplify: iters left: 3 (179 enodes) 1538300258.398 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1538300258.398 * [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))) 1538300258.398 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1538300258.399 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1538300258.400 * * [misc]simplify: iters left: 6 (15 enodes) 1538300258.409 * * [misc]simplify: iters left: 5 (30 enodes) 1538300258.431 * * [misc]simplify: iters left: 4 (65 enodes) 1538300258.460 * * [misc]simplify: iters left: 3 (208 enodes) 1538300258.780 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1538300258.780 * [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))) 1538300258.780 * * * [misc]progress: adding candidates to table 1538300260.139 * * [misc]progress: iteration 2 / 4 1538300260.139 * * * [misc]progress: picking best candidate 1538300260.274 * * * * [misc]pick: Picked # 1538300260.274 * * * [misc]progress: localizing error 1538300260.289 * * * [misc]progress: generating rewritten candidates 1538300260.289 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) 1538300260.392 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1538300260.424 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1538300260.450 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1538300260.530 * * * [misc]progress: generating series expansions 1538300260.530 * * * * [misc]progress: [ 1 / 4 ] generating series at (2) 1538300260.536 * [misc]backup-simplify: Simplify (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1538300260.536 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1538300260.536 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1538300260.536 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300260.536 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300260.536 * [misc]taylor: Taking taylor expansion of k in k 1538300260.536 * [misc]backup-simplify: Simplify 0 into 0 1538300260.536 * [misc]backup-simplify: Simplify 1 into 1 1538300260.537 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300260.537 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300260.537 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300260.537 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538300260.537 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538300260.538 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538300260.538 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300260.538 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.538 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300260.538 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.538 * [misc]taylor: Taking taylor expansion of k in k 1538300260.538 * [misc]backup-simplify: Simplify 0 into 0 1538300260.538 * [misc]backup-simplify: Simplify 1 into 1 1538300260.538 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538300260.538 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538300260.538 * [misc]taylor: Taking taylor expansion of 2 in k 1538300260.538 * [misc]backup-simplify: Simplify 2 into 2 1538300260.538 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538300260.538 * [misc]taylor: Taking taylor expansion of n in k 1538300260.538 * [misc]backup-simplify: Simplify n into n 1538300260.538 * [misc]taylor: Taking taylor expansion of PI in k 1538300260.538 * [misc]backup-simplify: Simplify PI into PI 1538300260.538 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538300260.538 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538300260.538 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538300260.539 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300260.539 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.539 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300260.539 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538300260.539 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538300260.540 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of k in n 1538300260.540 * [misc]backup-simplify: Simplify k into k 1538300260.540 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300260.540 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300260.540 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300260.540 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300260.540 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.540 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.540 * [misc]taylor: Taking taylor expansion of k in n 1538300260.540 * [misc]backup-simplify: Simplify k into k 1538300260.540 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300260.540 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.540 * [misc]backup-simplify: Simplify 2 into 2 1538300260.540 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300260.541 * [misc]taylor: Taking taylor expansion of n in n 1538300260.541 * [misc]backup-simplify: Simplify 0 into 0 1538300260.541 * [misc]backup-simplify: Simplify 1 into 1 1538300260.541 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.541 * [misc]backup-simplify: Simplify PI into PI 1538300260.541 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300260.541 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300260.542 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300260.543 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300260.543 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300260.543 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300260.543 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300260.544 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300260.544 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300260.545 * [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)))) 1538300260.546 * [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))))) 1538300260.546 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538300260.546 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300260.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300260.546 * [misc]taylor: Taking taylor expansion of k in n 1538300260.546 * [misc]backup-simplify: Simplify k into k 1538300260.546 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300260.546 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300260.546 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300260.546 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300260.546 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300260.546 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300260.546 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300260.546 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300260.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.547 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300260.547 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.547 * [misc]taylor: Taking taylor expansion of k in n 1538300260.547 * [misc]backup-simplify: Simplify k into k 1538300260.547 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300260.547 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300260.547 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.547 * [misc]backup-simplify: Simplify 2 into 2 1538300260.547 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300260.547 * [misc]taylor: Taking taylor expansion of n in n 1538300260.547 * [misc]backup-simplify: Simplify 0 into 0 1538300260.547 * [misc]backup-simplify: Simplify 1 into 1 1538300260.547 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.547 * [misc]backup-simplify: Simplify PI into PI 1538300260.547 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300260.547 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300260.548 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300260.549 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300260.549 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300260.549 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300260.550 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300260.550 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300260.550 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300260.551 * [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)))) 1538300260.552 * [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))))) 1538300260.553 * [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))) 1538300260.553 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1538300260.553 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538300260.553 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538300260.553 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300260.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.553 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300260.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.553 * [misc]taylor: Taking taylor expansion of k in k 1538300260.553 * [misc]backup-simplify: Simplify 0 into 0 1538300260.553 * [misc]backup-simplify: Simplify 1 into 1 1538300260.553 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538300260.553 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300260.553 * [misc]taylor: Taking taylor expansion of n in k 1538300260.553 * [misc]backup-simplify: Simplify n into n 1538300260.553 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300260.553 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300260.553 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300260.553 * [misc]taylor: Taking taylor expansion of 2 in k 1538300260.553 * [misc]backup-simplify: Simplify 2 into 2 1538300260.553 * [misc]taylor: Taking taylor expansion of PI in k 1538300260.554 * [misc]backup-simplify: Simplify PI into PI 1538300260.554 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.554 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300260.555 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300260.555 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.555 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300260.555 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300260.556 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538300260.557 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538300260.557 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300260.557 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300260.557 * [misc]taylor: Taking taylor expansion of k in k 1538300260.557 * [misc]backup-simplify: Simplify 0 into 0 1538300260.557 * [misc]backup-simplify: Simplify 1 into 1 1538300260.557 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300260.557 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300260.558 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300260.558 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1538300260.558 * [misc]backup-simplify: Simplify 0 into 0 1538300260.560 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538300260.561 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538300260.564 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300260.564 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538300260.564 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.565 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.565 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300260.566 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538300260.568 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300260.569 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1538300260.569 * [misc]taylor: Taking taylor expansion of 0 in k 1538300260.569 * [misc]backup-simplify: Simplify 0 into 0 1538300260.570 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538300260.571 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300260.574 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300260.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.574 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300260.575 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300260.575 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300260.576 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538300260.578 * [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))))))) 1538300260.581 * [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))))))) 1538300260.582 * [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))))))) 1538300260.583 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300260.585 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538300260.591 * [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 1538300260.592 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538300260.592 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.593 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300260.594 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300260.597 * [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 1538300260.597 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300260.598 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1538300260.599 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1538300260.599 * [misc]taylor: Taking taylor expansion of 0 in k 1538300260.599 * [misc]backup-simplify: Simplify 0 into 0 1538300260.599 * [misc]backup-simplify: Simplify 0 into 0 1538300260.599 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538300260.601 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300260.602 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538300260.604 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300260.610 * [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 1538300260.610 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.611 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300260.611 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.611 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.612 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300260.616 * [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))))) 1538300260.623 * [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)))))))) 1538300260.626 * [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)))))))) 1538300260.629 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300260.631 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538300260.641 * [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 1538300260.641 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538300260.641 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.642 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.642 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300260.643 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538300260.647 * [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 1538300260.647 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300260.647 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1538300260.649 * [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 1538300260.649 * [misc]taylor: Taking taylor expansion of 0 in k 1538300260.649 * [misc]backup-simplify: Simplify 0 into 0 1538300260.649 * [misc]backup-simplify: Simplify 0 into 0 1538300260.649 * [misc]backup-simplify: Simplify 0 into 0 1538300260.649 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.650 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300260.653 * [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 1538300260.655 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300260.663 * [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 1538300260.663 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538300260.664 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538300260.671 * [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))))))) 1538300260.694 * [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)))))))))))))) 1538300260.706 * [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)))))))))))))) 1538300260.722 * [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)))))))))))))))))))))) 1538300260.722 * [misc]backup-simplify: Simplify (* (sqrt (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) (sqrt (/ (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))))) 1538300260.722 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1538300260.722 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538300260.722 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300260.722 * [misc]taylor: Taking taylor expansion of k in k 1538300260.722 * [misc]backup-simplify: Simplify 0 into 0 1538300260.723 * [misc]backup-simplify: Simplify 1 into 1 1538300260.723 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300260.723 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300260.723 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300260.723 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538300260.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538300260.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300260.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300260.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300260.723 * [misc]taylor: Taking taylor expansion of k in k 1538300260.723 * [misc]backup-simplify: Simplify 0 into 0 1538300260.723 * [misc]backup-simplify: Simplify 1 into 1 1538300260.723 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300260.723 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538300260.723 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538300260.723 * [misc]taylor: Taking taylor expansion of 2 in k 1538300260.723 * [misc]backup-simplify: Simplify 2 into 2 1538300260.723 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300260.723 * [misc]taylor: Taking taylor expansion of PI in k 1538300260.723 * [misc]backup-simplify: Simplify PI into PI 1538300260.723 * [misc]taylor: Taking taylor expansion of n in k 1538300260.723 * [misc]backup-simplify: Simplify n into n 1538300260.724 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300260.724 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538300260.724 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538300260.724 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300260.724 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300260.724 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300260.724 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538300260.724 * [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)))) 1538300260.724 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300260.724 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300260.724 * [misc]taylor: Taking taylor expansion of k in n 1538300260.724 * [misc]backup-simplify: Simplify k into k 1538300260.724 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300260.725 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300260.725 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300260.725 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300260.725 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300260.725 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300260.725 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.725 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300260.725 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.725 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300260.725 * [misc]taylor: Taking taylor expansion of k in n 1538300260.725 * [misc]backup-simplify: Simplify k into k 1538300260.725 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300260.725 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300260.725 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300260.725 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.725 * [misc]backup-simplify: Simplify 2 into 2 1538300260.725 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.725 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.725 * [misc]backup-simplify: Simplify PI into PI 1538300260.725 * [misc]taylor: Taking taylor expansion of n in n 1538300260.725 * [misc]backup-simplify: Simplify 0 into 0 1538300260.725 * [misc]backup-simplify: Simplify 1 into 1 1538300260.725 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.725 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.726 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300260.726 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300260.726 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300260.726 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300260.726 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300260.727 * [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))) 1538300260.727 * [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)))) 1538300260.727 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300260.727 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300260.727 * [misc]taylor: Taking taylor expansion of k in n 1538300260.727 * [misc]backup-simplify: Simplify k into k 1538300260.728 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300260.728 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300260.728 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300260.728 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300260.728 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300260.728 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300260.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.728 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300260.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.728 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300260.728 * [misc]taylor: Taking taylor expansion of k in n 1538300260.728 * [misc]backup-simplify: Simplify k into k 1538300260.728 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300260.728 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300260.728 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300260.728 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.728 * [misc]backup-simplify: Simplify 2 into 2 1538300260.728 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.728 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.728 * [misc]backup-simplify: Simplify PI into PI 1538300260.728 * [misc]taylor: Taking taylor expansion of n in n 1538300260.728 * [misc]backup-simplify: Simplify 0 into 0 1538300260.728 * [misc]backup-simplify: Simplify 1 into 1 1538300260.728 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.728 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.729 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300260.729 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300260.729 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300260.729 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300260.729 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300260.730 * [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))) 1538300260.730 * [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)))) 1538300260.731 * [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)) 1538300260.731 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1538300260.731 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538300260.731 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538300260.731 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300260.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.731 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300260.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300260.731 * [misc]taylor: Taking taylor expansion of k in k 1538300260.731 * [misc]backup-simplify: Simplify 0 into 0 1538300260.731 * [misc]backup-simplify: Simplify 1 into 1 1538300260.731 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300260.731 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538300260.731 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300260.731 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300260.731 * [misc]taylor: Taking taylor expansion of 2 in k 1538300260.731 * [misc]backup-simplify: Simplify 2 into 2 1538300260.731 * [misc]taylor: Taking taylor expansion of PI in k 1538300260.731 * [misc]backup-simplify: Simplify PI into PI 1538300260.732 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.732 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300260.732 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300260.732 * [misc]taylor: Taking taylor expansion of n in k 1538300260.732 * [misc]backup-simplify: Simplify n into n 1538300260.732 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300260.732 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300260.732 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300260.732 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300260.732 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300260.733 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538300260.733 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538300260.734 * [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)))) 1538300260.734 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300260.734 * [misc]taylor: Taking taylor expansion of k in k 1538300260.734 * [misc]backup-simplify: Simplify 0 into 0 1538300260.734 * [misc]backup-simplify: Simplify 1 into 1 1538300260.734 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300260.734 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300260.735 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1538300260.735 * [misc]backup-simplify: Simplify 0 into 0 1538300260.735 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300260.736 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300260.738 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300260.738 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300260.738 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300260.738 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.739 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300260.739 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538300260.740 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300260.741 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1538300260.741 * [misc]taylor: Taking taylor expansion of 0 in k 1538300260.741 * [misc]backup-simplify: Simplify 0 into 0 1538300260.741 * [misc]backup-simplify: Simplify 0 into 0 1538300260.741 * [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)))))) 1538300260.742 * [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)))))) 1538300260.743 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.744 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300260.747 * [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 1538300260.747 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300260.748 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300260.748 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.748 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300260.749 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538300260.750 * [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 1538300260.751 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1538300260.751 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1538300260.752 * [misc]taylor: Taking taylor expansion of 0 in k 1538300260.752 * [misc]backup-simplify: Simplify 0 into 0 1538300260.752 * [misc]backup-simplify: Simplify 0 into 0 1538300260.752 * [misc]backup-simplify: Simplify 0 into 0 1538300260.752 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300260.753 * [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)))))) 1538300260.753 * [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)))))) 1538300260.755 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.756 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300260.761 * [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 1538300260.761 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300260.762 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538300260.762 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.762 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.762 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300260.763 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538300260.765 * [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 1538300260.765 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1538300260.766 * [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 1538300260.766 * [misc]taylor: Taking taylor expansion of 0 in k 1538300260.766 * [misc]backup-simplify: Simplify 0 into 0 1538300260.766 * [misc]backup-simplify: Simplify 0 into 0 1538300260.766 * [misc]backup-simplify: Simplify 0 into 0 1538300260.766 * [misc]backup-simplify: Simplify 0 into 0 1538300260.767 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300260.768 * [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)))))) 1538300260.769 * [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)))))) 1538300260.771 * [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)))))))) 1538300260.771 * [misc]backup-simplify: Simplify (* (sqrt (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) (sqrt (/ (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))) 1538300260.771 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1538300260.772 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1538300260.772 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300260.772 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538300260.772 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538300260.773 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300260.773 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300260.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300260.773 * [misc]taylor: Taking taylor expansion of k in k 1538300260.773 * [misc]backup-simplify: Simplify 0 into 0 1538300260.773 * [misc]backup-simplify: Simplify 1 into 1 1538300260.773 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300260.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.773 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538300260.773 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538300260.773 * [misc]taylor: Taking taylor expansion of -2 in k 1538300260.773 * [misc]backup-simplify: Simplify -2 into -2 1538300260.773 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300260.773 * [misc]taylor: Taking taylor expansion of PI in k 1538300260.773 * [misc]backup-simplify: Simplify PI into PI 1538300260.773 * [misc]taylor: Taking taylor expansion of n in k 1538300260.773 * [misc]backup-simplify: Simplify n into n 1538300260.773 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300260.773 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538300260.773 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538300260.773 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300260.774 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300260.774 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538300260.774 * [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))) 1538300260.774 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300260.774 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300260.774 * [misc]taylor: Taking taylor expansion of -1 in k 1538300260.774 * [misc]backup-simplify: Simplify -1 into -1 1538300260.774 * [misc]taylor: Taking taylor expansion of k in k 1538300260.774 * [misc]backup-simplify: Simplify 0 into 0 1538300260.774 * [misc]backup-simplify: Simplify 1 into 1 1538300260.774 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300260.774 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300260.775 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300260.775 * [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)))) 1538300260.775 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of k in n 1538300260.775 * [misc]backup-simplify: Simplify k into k 1538300260.775 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300260.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.775 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of -2 in n 1538300260.775 * [misc]backup-simplify: Simplify -2 into -2 1538300260.775 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.775 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.775 * [misc]backup-simplify: Simplify PI into PI 1538300260.775 * [misc]taylor: Taking taylor expansion of n in n 1538300260.775 * [misc]backup-simplify: Simplify 0 into 0 1538300260.775 * [misc]backup-simplify: Simplify 1 into 1 1538300260.775 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.776 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300260.776 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300260.776 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300260.776 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300260.777 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300260.777 * [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))) 1538300260.778 * [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)))) 1538300260.778 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300260.778 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300260.778 * [misc]taylor: Taking taylor expansion of -1 in n 1538300260.778 * [misc]backup-simplify: Simplify -1 into -1 1538300260.778 * [misc]taylor: Taking taylor expansion of k in n 1538300260.778 * [misc]backup-simplify: Simplify k into k 1538300260.778 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300260.778 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300260.778 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300260.778 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300260.778 * [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))) 1538300260.778 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300260.778 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300260.778 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300260.778 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300260.778 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300260.779 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300260.779 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.779 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300260.779 * [misc]taylor: Taking taylor expansion of k in n 1538300260.779 * [misc]backup-simplify: Simplify k into k 1538300260.779 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300260.779 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.779 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300260.779 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300260.779 * [misc]taylor: Taking taylor expansion of -2 in n 1538300260.779 * [misc]backup-simplify: Simplify -2 into -2 1538300260.779 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.779 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.779 * [misc]backup-simplify: Simplify PI into PI 1538300260.779 * [misc]taylor: Taking taylor expansion of n in n 1538300260.779 * [misc]backup-simplify: Simplify 0 into 0 1538300260.779 * [misc]backup-simplify: Simplify 1 into 1 1538300260.779 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.779 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300260.780 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300260.780 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300260.780 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300260.780 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300260.781 * [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))) 1538300260.781 * [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)))) 1538300260.781 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300260.781 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300260.781 * [misc]taylor: Taking taylor expansion of -1 in n 1538300260.781 * [misc]backup-simplify: Simplify -1 into -1 1538300260.781 * [misc]taylor: Taking taylor expansion of k in n 1538300260.781 * [misc]backup-simplify: Simplify k into k 1538300260.781 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300260.781 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300260.781 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300260.782 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300260.782 * [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))) 1538300260.782 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1538300260.782 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538300260.782 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538300260.782 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300260.782 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300260.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.782 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300260.782 * [misc]taylor: Taking taylor expansion of k in k 1538300260.782 * [misc]backup-simplify: Simplify 0 into 0 1538300260.782 * [misc]backup-simplify: Simplify 1 into 1 1538300260.783 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300260.783 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.783 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538300260.783 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538300260.783 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538300260.783 * [misc]taylor: Taking taylor expansion of -2 in k 1538300260.783 * [misc]backup-simplify: Simplify -2 into -2 1538300260.783 * [misc]taylor: Taking taylor expansion of PI in k 1538300260.783 * [misc]backup-simplify: Simplify PI into PI 1538300260.783 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300260.783 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300260.783 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300260.783 * [misc]taylor: Taking taylor expansion of n in k 1538300260.783 * [misc]backup-simplify: Simplify n into n 1538300260.783 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300260.784 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300260.784 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300260.784 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300260.784 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538300260.784 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538300260.785 * [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)))) 1538300260.785 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300260.785 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300260.785 * [misc]taylor: Taking taylor expansion of -1 in k 1538300260.785 * [misc]backup-simplify: Simplify -1 into -1 1538300260.785 * [misc]taylor: Taking taylor expansion of k in k 1538300260.785 * [misc]backup-simplify: Simplify 0 into 0 1538300260.785 * [misc]backup-simplify: Simplify 1 into 1 1538300260.785 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300260.785 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300260.786 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300260.786 * [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))))) 1538300260.788 * [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))))) 1538300260.789 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300260.790 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538300260.792 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538300260.792 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300260.792 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300260.792 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.793 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300260.794 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538300260.795 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300260.796 * [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 1538300260.797 * [misc]taylor: Taking taylor expansion of 0 in k 1538300260.797 * [misc]backup-simplify: Simplify 0 into 0 1538300260.797 * [misc]backup-simplify: Simplify 0 into 0 1538300260.797 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538300260.798 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300260.800 * [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)))))) 1538300260.800 * [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)))))) 1538300260.802 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.803 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300260.808 * [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 1538300260.808 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300260.809 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300260.809 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300260.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300260.811 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538300260.813 * [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 1538300260.813 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300260.814 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1538300260.815 * [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 1538300260.815 * [misc]taylor: Taking taylor expansion of 0 in k 1538300260.815 * [misc]backup-simplify: Simplify 0 into 0 1538300260.815 * [misc]backup-simplify: Simplify 0 into 0 1538300260.815 * [misc]backup-simplify: Simplify 0 into 0 1538300260.815 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.817 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300260.819 * [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)))))) 1538300260.819 * [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)))))) 1538300260.822 * [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))))))))))) 1538300260.822 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1) 1538300260.823 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1538300260.823 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1538300260.823 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300260.823 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.823 * [misc]backup-simplify: Simplify 2 into 2 1538300260.823 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300260.823 * [misc]taylor: Taking taylor expansion of n in n 1538300260.823 * [misc]backup-simplify: Simplify 0 into 0 1538300260.823 * [misc]backup-simplify: Simplify 1 into 1 1538300260.823 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.823 * [misc]backup-simplify: Simplify PI into PI 1538300260.823 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300260.823 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.823 * [misc]backup-simplify: Simplify 2 into 2 1538300260.823 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300260.823 * [misc]taylor: Taking taylor expansion of n in n 1538300260.823 * [misc]backup-simplify: Simplify 0 into 0 1538300260.823 * [misc]backup-simplify: Simplify 1 into 1 1538300260.823 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.823 * [misc]backup-simplify: Simplify PI into PI 1538300260.824 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300260.824 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300260.824 * [misc]backup-simplify: Simplify 0 into 0 1538300260.825 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300260.825 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300260.826 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.827 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538300260.828 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538300260.828 * [misc]backup-simplify: Simplify 0 into 0 1538300260.829 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300260.830 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538300260.830 * [misc]backup-simplify: Simplify 0 into 0 1538300260.831 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300260.832 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538300260.832 * [misc]backup-simplify: Simplify 0 into 0 1538300260.834 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300260.835 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1538300260.835 * [misc]backup-simplify: Simplify 0 into 0 1538300260.837 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300260.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1538300260.839 * [misc]backup-simplify: Simplify 0 into 0 1538300260.842 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1538300260.844 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1538300260.844 * [misc]backup-simplify: Simplify 0 into 0 1538300260.845 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1538300260.845 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1538300260.845 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1538300260.845 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300260.845 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.845 * [misc]backup-simplify: Simplify 2 into 2 1538300260.845 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.845 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.845 * [misc]backup-simplify: Simplify PI into PI 1538300260.845 * [misc]taylor: Taking taylor expansion of n in n 1538300260.845 * [misc]backup-simplify: Simplify 0 into 0 1538300260.845 * [misc]backup-simplify: Simplify 1 into 1 1538300260.845 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.845 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300260.845 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.845 * [misc]backup-simplify: Simplify 2 into 2 1538300260.845 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.845 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.845 * [misc]backup-simplify: Simplify PI into PI 1538300260.845 * [misc]taylor: Taking taylor expansion of n in n 1538300260.845 * [misc]backup-simplify: Simplify 0 into 0 1538300260.845 * [misc]backup-simplify: Simplify 1 into 1 1538300260.845 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.846 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.846 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.847 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300260.847 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300260.847 * [misc]backup-simplify: Simplify 0 into 0 1538300260.848 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.849 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300260.849 * [misc]backup-simplify: Simplify 0 into 0 1538300260.850 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.851 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300260.851 * [misc]backup-simplify: Simplify 0 into 0 1538300260.853 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.855 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300260.855 * [misc]backup-simplify: Simplify 0 into 0 1538300260.857 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.860 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300260.861 * [misc]backup-simplify: Simplify 0 into 0 1538300260.863 * [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 1538300260.867 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300260.867 * [misc]backup-simplify: Simplify 0 into 0 1538300260.868 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1538300260.868 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1538300260.868 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1538300260.868 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300260.868 * [misc]taylor: Taking taylor expansion of -2 in n 1538300260.868 * [misc]backup-simplify: Simplify -2 into -2 1538300260.868 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.868 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.868 * [misc]backup-simplify: Simplify PI into PI 1538300260.868 * [misc]taylor: Taking taylor expansion of n in n 1538300260.868 * [misc]backup-simplify: Simplify 0 into 0 1538300260.868 * [misc]backup-simplify: Simplify 1 into 1 1538300260.869 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.869 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300260.869 * [misc]taylor: Taking taylor expansion of -2 in n 1538300260.869 * [misc]backup-simplify: Simplify -2 into -2 1538300260.869 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.869 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.869 * [misc]backup-simplify: Simplify PI into PI 1538300260.869 * [misc]taylor: Taking taylor expansion of n in n 1538300260.869 * [misc]backup-simplify: Simplify 0 into 0 1538300260.869 * [misc]backup-simplify: Simplify 1 into 1 1538300260.869 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.870 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300260.870 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300260.871 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300260.872 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538300260.872 * [misc]backup-simplify: Simplify 0 into 0 1538300260.873 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.874 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300260.875 * [misc]backup-simplify: Simplify 0 into 0 1538300260.876 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.878 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300260.878 * [misc]backup-simplify: Simplify 0 into 0 1538300260.881 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.883 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300260.883 * [misc]backup-simplify: Simplify 0 into 0 1538300260.885 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.888 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300260.889 * [misc]backup-simplify: Simplify 0 into 0 1538300260.891 * [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 1538300260.895 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300260.895 * [misc]backup-simplify: Simplify 0 into 0 1538300260.895 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1538300260.895 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) 1538300260.896 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1538300260.896 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1538300260.896 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300260.896 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.896 * [misc]backup-simplify: Simplify 2 into 2 1538300260.896 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300260.896 * [misc]taylor: Taking taylor expansion of n in n 1538300260.896 * [misc]backup-simplify: Simplify 0 into 0 1538300260.896 * [misc]backup-simplify: Simplify 1 into 1 1538300260.896 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.896 * [misc]backup-simplify: Simplify PI into PI 1538300260.896 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300260.896 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.896 * [misc]backup-simplify: Simplify 2 into 2 1538300260.896 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300260.896 * [misc]taylor: Taking taylor expansion of n in n 1538300260.896 * [misc]backup-simplify: Simplify 0 into 0 1538300260.896 * [misc]backup-simplify: Simplify 1 into 1 1538300260.896 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.897 * [misc]backup-simplify: Simplify PI into PI 1538300260.897 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300260.897 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300260.897 * [misc]backup-simplify: Simplify 0 into 0 1538300260.898 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300260.899 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300260.899 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.900 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538300260.901 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538300260.902 * [misc]backup-simplify: Simplify 0 into 0 1538300260.904 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300260.906 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538300260.906 * [misc]backup-simplify: Simplify 0 into 0 1538300260.908 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300260.910 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538300260.910 * [misc]backup-simplify: Simplify 0 into 0 1538300260.912 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300260.917 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1538300260.917 * [misc]backup-simplify: Simplify 0 into 0 1538300260.920 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300260.923 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1538300260.924 * [misc]backup-simplify: Simplify 0 into 0 1538300260.927 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1538300260.932 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1538300260.932 * [misc]backup-simplify: Simplify 0 into 0 1538300260.932 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1538300260.932 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1538300260.932 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1538300260.932 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300260.932 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.932 * [misc]backup-simplify: Simplify 2 into 2 1538300260.932 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.932 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.933 * [misc]backup-simplify: Simplify PI into PI 1538300260.933 * [misc]taylor: Taking taylor expansion of n in n 1538300260.933 * [misc]backup-simplify: Simplify 0 into 0 1538300260.933 * [misc]backup-simplify: Simplify 1 into 1 1538300260.933 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.933 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300260.933 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.933 * [misc]backup-simplify: Simplify 2 into 2 1538300260.933 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.933 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.933 * [misc]backup-simplify: Simplify PI into PI 1538300260.933 * [misc]taylor: Taking taylor expansion of n in n 1538300260.933 * [misc]backup-simplify: Simplify 0 into 0 1538300260.933 * [misc]backup-simplify: Simplify 1 into 1 1538300260.934 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.934 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.935 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300260.936 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300260.936 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300260.936 * [misc]backup-simplify: Simplify 0 into 0 1538300260.938 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.939 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300260.939 * [misc]backup-simplify: Simplify 0 into 0 1538300260.941 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.943 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300260.943 * [misc]backup-simplify: Simplify 0 into 0 1538300260.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.947 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300260.948 * [misc]backup-simplify: Simplify 0 into 0 1538300260.950 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.953 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300260.953 * [misc]backup-simplify: Simplify 0 into 0 1538300260.955 * [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 1538300260.959 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300260.959 * [misc]backup-simplify: Simplify 0 into 0 1538300260.959 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1538300260.960 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1538300260.960 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1538300260.960 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300260.960 * [misc]taylor: Taking taylor expansion of -2 in n 1538300260.960 * [misc]backup-simplify: Simplify -2 into -2 1538300260.960 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.960 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.960 * [misc]backup-simplify: Simplify PI into PI 1538300260.960 * [misc]taylor: Taking taylor expansion of n in n 1538300260.960 * [misc]backup-simplify: Simplify 0 into 0 1538300260.960 * [misc]backup-simplify: Simplify 1 into 1 1538300260.960 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.960 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300260.960 * [misc]taylor: Taking taylor expansion of -2 in n 1538300260.960 * [misc]backup-simplify: Simplify -2 into -2 1538300260.960 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300260.960 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.960 * [misc]backup-simplify: Simplify PI into PI 1538300260.960 * [misc]taylor: Taking taylor expansion of n in n 1538300260.960 * [misc]backup-simplify: Simplify 0 into 0 1538300260.961 * [misc]backup-simplify: Simplify 1 into 1 1538300260.961 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300260.961 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300260.961 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300260.963 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300260.963 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538300260.963 * [misc]backup-simplify: Simplify 0 into 0 1538300260.965 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.966 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300260.966 * [misc]backup-simplify: Simplify 0 into 0 1538300260.967 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.969 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300260.969 * [misc]backup-simplify: Simplify 0 into 0 1538300260.971 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.973 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300260.973 * [misc]backup-simplify: Simplify 0 into 0 1538300260.976 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300260.978 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300260.978 * [misc]backup-simplify: Simplify 0 into 0 1538300260.981 * [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 1538300260.984 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300260.984 * [misc]backup-simplify: Simplify 0 into 0 1538300260.985 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1538300260.985 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1538300260.986 * [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)))) 1538300260.986 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1538300260.986 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1538300260.986 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300260.986 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300260.986 * [misc]taylor: Taking taylor expansion of k in k 1538300260.986 * [misc]backup-simplify: Simplify 0 into 0 1538300260.986 * [misc]backup-simplify: Simplify 1 into 1 1538300260.986 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300260.986 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300260.987 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300260.987 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538300260.987 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538300260.987 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538300260.987 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300260.987 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.987 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300260.987 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300260.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.987 * [misc]taylor: Taking taylor expansion of k in k 1538300260.987 * [misc]backup-simplify: Simplify 0 into 0 1538300260.987 * [misc]backup-simplify: Simplify 1 into 1 1538300260.987 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538300260.987 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538300260.987 * [misc]taylor: Taking taylor expansion of 2 in k 1538300260.987 * [misc]backup-simplify: Simplify 2 into 2 1538300260.987 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538300260.987 * [misc]taylor: Taking taylor expansion of n in k 1538300260.987 * [misc]backup-simplify: Simplify n into n 1538300260.987 * [misc]taylor: Taking taylor expansion of PI in k 1538300260.987 * [misc]backup-simplify: Simplify PI into PI 1538300260.987 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538300260.987 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538300260.988 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538300260.988 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300260.988 * [misc]backup-simplify: Simplify (- 0) into 0 1538300260.988 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300260.988 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538300260.988 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538300260.989 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of k in n 1538300260.989 * [misc]backup-simplify: Simplify k into k 1538300260.989 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300260.989 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300260.989 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300260.989 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300260.989 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.989 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.989 * [misc]taylor: Taking taylor expansion of k in n 1538300260.989 * [misc]backup-simplify: Simplify k into k 1538300260.989 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300260.989 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.989 * [misc]backup-simplify: Simplify 2 into 2 1538300260.989 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300260.990 * [misc]taylor: Taking taylor expansion of n in n 1538300260.990 * [misc]backup-simplify: Simplify 0 into 0 1538300260.990 * [misc]backup-simplify: Simplify 1 into 1 1538300260.990 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.990 * [misc]backup-simplify: Simplify PI into PI 1538300260.990 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300260.990 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300260.991 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300260.992 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300260.992 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300260.992 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300260.993 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300260.993 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300260.993 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300260.994 * [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)))) 1538300260.995 * [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))))) 1538300260.995 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538300260.995 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300260.995 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300260.995 * [misc]taylor: Taking taylor expansion of k in n 1538300260.995 * [misc]backup-simplify: Simplify k into k 1538300260.995 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300260.995 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300260.995 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300260.995 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300260.995 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300260.995 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300260.995 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300260.995 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300260.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.996 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300260.996 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300260.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300260.996 * [misc]taylor: Taking taylor expansion of k in n 1538300260.996 * [misc]backup-simplify: Simplify k into k 1538300260.996 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300260.996 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300260.996 * [misc]taylor: Taking taylor expansion of 2 in n 1538300260.996 * [misc]backup-simplify: Simplify 2 into 2 1538300260.996 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300260.996 * [misc]taylor: Taking taylor expansion of n in n 1538300260.996 * [misc]backup-simplify: Simplify 0 into 0 1538300260.996 * [misc]backup-simplify: Simplify 1 into 1 1538300260.996 * [misc]taylor: Taking taylor expansion of PI in n 1538300260.996 * [misc]backup-simplify: Simplify PI into PI 1538300260.996 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300260.996 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300260.997 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300260.998 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300260.998 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300260.998 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300260.999 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300260.999 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300260.999 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300261.000 * [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)))) 1538300261.001 * [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))))) 1538300261.002 * [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))) 1538300261.002 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1538300261.002 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538300261.002 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538300261.002 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300261.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.002 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300261.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.002 * [misc]taylor: Taking taylor expansion of k in k 1538300261.002 * [misc]backup-simplify: Simplify 0 into 0 1538300261.002 * [misc]backup-simplify: Simplify 1 into 1 1538300261.002 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538300261.002 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300261.002 * [misc]taylor: Taking taylor expansion of n in k 1538300261.002 * [misc]backup-simplify: Simplify n into n 1538300261.002 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300261.002 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300261.002 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300261.002 * [misc]taylor: Taking taylor expansion of 2 in k 1538300261.002 * [misc]backup-simplify: Simplify 2 into 2 1538300261.002 * [misc]taylor: Taking taylor expansion of PI in k 1538300261.002 * [misc]backup-simplify: Simplify PI into PI 1538300261.003 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300261.003 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300261.003 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300261.004 * [misc]backup-simplify: Simplify (- 0) into 0 1538300261.004 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300261.004 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300261.005 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538300261.006 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538300261.006 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300261.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300261.006 * [misc]taylor: Taking taylor expansion of k in k 1538300261.006 * [misc]backup-simplify: Simplify 0 into 0 1538300261.006 * [misc]backup-simplify: Simplify 1 into 1 1538300261.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300261.006 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300261.006 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300261.007 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1538300261.007 * [misc]backup-simplify: Simplify 0 into 0 1538300261.008 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538300261.009 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538300261.013 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300261.013 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538300261.013 * [misc]backup-simplify: Simplify (- 0) into 0 1538300261.013 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.014 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300261.015 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538300261.016 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300261.017 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1538300261.017 * [misc]taylor: Taking taylor expansion of 0 in k 1538300261.017 * [misc]backup-simplify: Simplify 0 into 0 1538300261.018 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538300261.019 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300261.022 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300261.022 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.022 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300261.022 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300261.023 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300261.023 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538300261.025 * [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))))))) 1538300261.028 * [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))))))) 1538300261.029 * [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))))))) 1538300261.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300261.032 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538300261.038 * [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 1538300261.038 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538300261.038 * [misc]backup-simplify: Simplify (- 0) into 0 1538300261.038 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.039 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300261.040 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300261.043 * [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 1538300261.043 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300261.043 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1538300261.044 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1538300261.045 * [misc]taylor: Taking taylor expansion of 0 in k 1538300261.045 * [misc]backup-simplify: Simplify 0 into 0 1538300261.045 * [misc]backup-simplify: Simplify 0 into 0 1538300261.045 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538300261.046 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300261.048 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538300261.049 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300261.054 * [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 1538300261.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.055 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300261.055 * [misc]backup-simplify: Simplify (- 0) into 0 1538300261.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.056 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300261.060 * [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))))) 1538300261.069 * [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)))))))) 1538300261.072 * [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)))))))) 1538300261.073 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300261.074 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538300261.080 * [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 1538300261.080 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538300261.080 * [misc]backup-simplify: Simplify (- 0) into 0 1538300261.080 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.081 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300261.082 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538300261.084 * [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 1538300261.084 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300261.084 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1538300261.085 * [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 1538300261.085 * [misc]taylor: Taking taylor expansion of 0 in k 1538300261.085 * [misc]backup-simplify: Simplify 0 into 0 1538300261.085 * [misc]backup-simplify: Simplify 0 into 0 1538300261.085 * [misc]backup-simplify: Simplify 0 into 0 1538300261.085 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300261.086 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300261.088 * [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 1538300261.089 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300261.094 * [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 1538300261.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.095 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538300261.095 * [misc]backup-simplify: Simplify (- 0) into 0 1538300261.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.096 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538300261.100 * [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))))))) 1538300261.111 * [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)))))))))))))) 1538300261.119 * [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)))))))))))))) 1538300261.130 * [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)))))))))))))))))))))) 1538300261.131 * [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))))) 1538300261.131 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1538300261.131 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538300261.131 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300261.131 * [misc]taylor: Taking taylor expansion of k in k 1538300261.131 * [misc]backup-simplify: Simplify 0 into 0 1538300261.131 * [misc]backup-simplify: Simplify 1 into 1 1538300261.131 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300261.131 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300261.131 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300261.131 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538300261.131 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538300261.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300261.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300261.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300261.132 * [misc]taylor: Taking taylor expansion of k in k 1538300261.132 * [misc]backup-simplify: Simplify 0 into 0 1538300261.132 * [misc]backup-simplify: Simplify 1 into 1 1538300261.132 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300261.132 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538300261.132 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538300261.132 * [misc]taylor: Taking taylor expansion of 2 in k 1538300261.132 * [misc]backup-simplify: Simplify 2 into 2 1538300261.132 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300261.132 * [misc]taylor: Taking taylor expansion of PI in k 1538300261.132 * [misc]backup-simplify: Simplify PI into PI 1538300261.132 * [misc]taylor: Taking taylor expansion of n in k 1538300261.132 * [misc]backup-simplify: Simplify n into n 1538300261.132 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300261.132 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538300261.132 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538300261.132 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300261.132 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300261.132 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300261.133 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538300261.133 * [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)))) 1538300261.133 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of k in n 1538300261.133 * [misc]backup-simplify: Simplify k into k 1538300261.133 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300261.133 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300261.133 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300261.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.133 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300261.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.133 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of k in n 1538300261.133 * [misc]backup-simplify: Simplify k into k 1538300261.133 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300261.133 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of 2 in n 1538300261.133 * [misc]backup-simplify: Simplify 2 into 2 1538300261.133 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300261.133 * [misc]taylor: Taking taylor expansion of PI in n 1538300261.133 * [misc]backup-simplify: Simplify PI into PI 1538300261.133 * [misc]taylor: Taking taylor expansion of n in n 1538300261.133 * [misc]backup-simplify: Simplify 0 into 0 1538300261.133 * [misc]backup-simplify: Simplify 1 into 1 1538300261.133 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300261.134 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300261.134 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300261.134 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300261.134 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300261.134 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300261.135 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300261.135 * [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))) 1538300261.136 * [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)))) 1538300261.136 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of k in n 1538300261.136 * [misc]backup-simplify: Simplify k into k 1538300261.136 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300261.136 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300261.136 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300261.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.136 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300261.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.136 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of k in n 1538300261.136 * [misc]backup-simplify: Simplify k into k 1538300261.136 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300261.136 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of 2 in n 1538300261.136 * [misc]backup-simplify: Simplify 2 into 2 1538300261.136 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300261.136 * [misc]taylor: Taking taylor expansion of PI in n 1538300261.136 * [misc]backup-simplify: Simplify PI into PI 1538300261.136 * [misc]taylor: Taking taylor expansion of n in n 1538300261.136 * [misc]backup-simplify: Simplify 0 into 0 1538300261.136 * [misc]backup-simplify: Simplify 1 into 1 1538300261.137 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300261.137 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300261.137 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300261.137 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300261.137 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300261.137 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300261.138 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300261.138 * [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))) 1538300261.139 * [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)))) 1538300261.139 * [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)) 1538300261.139 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1538300261.139 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538300261.139 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538300261.139 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300261.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300261.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.139 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300261.139 * [misc]taylor: Taking taylor expansion of k in k 1538300261.139 * [misc]backup-simplify: Simplify 0 into 0 1538300261.139 * [misc]backup-simplify: Simplify 1 into 1 1538300261.140 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300261.140 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538300261.140 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300261.140 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300261.140 * [misc]taylor: Taking taylor expansion of 2 in k 1538300261.140 * [misc]backup-simplify: Simplify 2 into 2 1538300261.140 * [misc]taylor: Taking taylor expansion of PI in k 1538300261.140 * [misc]backup-simplify: Simplify PI into PI 1538300261.140 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300261.140 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300261.140 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300261.140 * [misc]taylor: Taking taylor expansion of n in k 1538300261.140 * [misc]backup-simplify: Simplify n into n 1538300261.140 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300261.140 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300261.141 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300261.141 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300261.141 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300261.141 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538300261.141 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538300261.142 * [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)))) 1538300261.142 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300261.142 * [misc]taylor: Taking taylor expansion of k in k 1538300261.142 * [misc]backup-simplify: Simplify 0 into 0 1538300261.142 * [misc]backup-simplify: Simplify 1 into 1 1538300261.142 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300261.142 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300261.143 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1538300261.143 * [misc]backup-simplify: Simplify 0 into 0 1538300261.144 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300261.144 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300261.146 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300261.146 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300261.146 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300261.146 * [misc]backup-simplify: Simplify (- 0) into 0 1538300261.146 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.147 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300261.148 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538300261.149 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300261.150 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1538300261.150 * [misc]taylor: Taking taylor expansion of 0 in k 1538300261.150 * [misc]backup-simplify: Simplify 0 into 0 1538300261.150 * [misc]backup-simplify: Simplify 0 into 0 1538300261.151 * [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)))))) 1538300261.151 * [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)))))) 1538300261.153 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300261.156 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300261.162 * [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 1538300261.162 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300261.162 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300261.162 * [misc]backup-simplify: Simplify (- 0) into 0 1538300261.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.163 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300261.164 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538300261.167 * [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 1538300261.168 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1538300261.169 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1538300261.169 * [misc]taylor: Taking taylor expansion of 0 in k 1538300261.169 * [misc]backup-simplify: Simplify 0 into 0 1538300261.169 * [misc]backup-simplify: Simplify 0 into 0 1538300261.169 * [misc]backup-simplify: Simplify 0 into 0 1538300261.170 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300261.171 * [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)))))) 1538300261.172 * [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)))))) 1538300261.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300261.176 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300261.185 * [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 1538300261.186 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300261.186 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538300261.186 * [misc]backup-simplify: Simplify (- 0) into 0 1538300261.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.187 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300261.188 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538300261.192 * [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 1538300261.192 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1538300261.193 * [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 1538300261.193 * [misc]taylor: Taking taylor expansion of 0 in k 1538300261.193 * [misc]backup-simplify: Simplify 0 into 0 1538300261.193 * [misc]backup-simplify: Simplify 0 into 0 1538300261.193 * [misc]backup-simplify: Simplify 0 into 0 1538300261.194 * [misc]backup-simplify: Simplify 0 into 0 1538300261.195 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300261.196 * [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)))))) 1538300261.197 * [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)))))) 1538300261.200 * [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)))))))) 1538300261.201 * [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))) 1538300261.201 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1538300261.201 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1538300261.201 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300261.201 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538300261.201 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538300261.201 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300261.201 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300261.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.201 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300261.201 * [misc]taylor: Taking taylor expansion of k in k 1538300261.201 * [misc]backup-simplify: Simplify 0 into 0 1538300261.201 * [misc]backup-simplify: Simplify 1 into 1 1538300261.201 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300261.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.201 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538300261.202 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538300261.202 * [misc]taylor: Taking taylor expansion of -2 in k 1538300261.202 * [misc]backup-simplify: Simplify -2 into -2 1538300261.202 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300261.202 * [misc]taylor: Taking taylor expansion of PI in k 1538300261.202 * [misc]backup-simplify: Simplify PI into PI 1538300261.202 * [misc]taylor: Taking taylor expansion of n in k 1538300261.202 * [misc]backup-simplify: Simplify n into n 1538300261.202 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300261.202 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538300261.202 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538300261.202 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300261.203 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300261.203 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538300261.203 * [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))) 1538300261.203 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300261.203 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300261.203 * [misc]taylor: Taking taylor expansion of -1 in k 1538300261.203 * [misc]backup-simplify: Simplify -1 into -1 1538300261.203 * [misc]taylor: Taking taylor expansion of k in k 1538300261.203 * [misc]backup-simplify: Simplify 0 into 0 1538300261.203 * [misc]backup-simplify: Simplify 1 into 1 1538300261.203 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300261.204 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300261.204 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300261.205 * [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)))) 1538300261.205 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300261.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.205 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of k in n 1538300261.205 * [misc]backup-simplify: Simplify k into k 1538300261.205 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300261.205 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300261.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.205 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of -2 in n 1538300261.205 * [misc]backup-simplify: Simplify -2 into -2 1538300261.205 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300261.205 * [misc]taylor: Taking taylor expansion of PI in n 1538300261.205 * [misc]backup-simplify: Simplify PI into PI 1538300261.205 * [misc]taylor: Taking taylor expansion of n in n 1538300261.205 * [misc]backup-simplify: Simplify 0 into 0 1538300261.205 * [misc]backup-simplify: Simplify 1 into 1 1538300261.206 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300261.206 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300261.207 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300261.207 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300261.207 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300261.207 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300261.208 * [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))) 1538300261.209 * [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)))) 1538300261.209 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300261.209 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300261.209 * [misc]taylor: Taking taylor expansion of -1 in n 1538300261.209 * [misc]backup-simplify: Simplify -1 into -1 1538300261.209 * [misc]taylor: Taking taylor expansion of k in n 1538300261.209 * [misc]backup-simplify: Simplify k into k 1538300261.209 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300261.209 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300261.209 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300261.210 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300261.210 * [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))) 1538300261.210 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300261.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.211 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of k in n 1538300261.211 * [misc]backup-simplify: Simplify k into k 1538300261.211 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300261.211 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300261.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.211 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of -2 in n 1538300261.211 * [misc]backup-simplify: Simplify -2 into -2 1538300261.211 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300261.211 * [misc]taylor: Taking taylor expansion of PI in n 1538300261.211 * [misc]backup-simplify: Simplify PI into PI 1538300261.211 * [misc]taylor: Taking taylor expansion of n in n 1538300261.211 * [misc]backup-simplify: Simplify 0 into 0 1538300261.211 * [misc]backup-simplify: Simplify 1 into 1 1538300261.212 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300261.212 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300261.212 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300261.212 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300261.213 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300261.213 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300261.214 * [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))) 1538300261.215 * [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)))) 1538300261.215 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300261.215 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300261.215 * [misc]taylor: Taking taylor expansion of -1 in n 1538300261.215 * [misc]backup-simplify: Simplify -1 into -1 1538300261.215 * [misc]taylor: Taking taylor expansion of k in n 1538300261.215 * [misc]backup-simplify: Simplify k into k 1538300261.215 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300261.215 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300261.215 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300261.215 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300261.216 * [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))) 1538300261.216 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1538300261.216 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538300261.216 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538300261.217 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300261.217 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300261.217 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.217 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300261.217 * [misc]taylor: Taking taylor expansion of k in k 1538300261.217 * [misc]backup-simplify: Simplify 0 into 0 1538300261.217 * [misc]backup-simplify: Simplify 1 into 1 1538300261.217 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300261.217 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300261.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300261.217 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538300261.217 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538300261.217 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538300261.217 * [misc]taylor: Taking taylor expansion of -2 in k 1538300261.217 * [misc]backup-simplify: Simplify -2 into -2 1538300261.217 * [misc]taylor: Taking taylor expansion of PI in k 1538300261.217 * [misc]backup-simplify: Simplify PI into PI 1538300261.217 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300261.218 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300261.218 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300261.218 * [misc]taylor: Taking taylor expansion of n in k 1538300261.218 * [misc]backup-simplify: Simplify n into n 1538300261.218 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300261.218 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300261.218 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300261.219 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300261.220 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538300261.220 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538300261.221 * [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)))) 1538300261.221 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300261.221 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300261.221 * [misc]taylor: Taking taylor expansion of -1 in k 1538300261.221 * [misc]backup-simplify: Simplify -1 into -1 1538300261.221 * [misc]taylor: Taking taylor expansion of k in k 1538300261.221 * [misc]backup-simplify: Simplify 0 into 0 1538300261.221 * [misc]backup-simplify: Simplify 1 into 1 1538300261.221 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300261.222 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300261.222 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300261.223 * [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))))) 1538300261.224 * [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))))) 1538300261.225 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300261.226 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538300261.229 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538300261.229 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300261.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300261.229 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.230 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300261.231 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538300261.233 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300261.234 * [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 1538300261.234 * [misc]taylor: Taking taylor expansion of 0 in k 1538300261.234 * [misc]backup-simplify: Simplify 0 into 0 1538300261.234 * [misc]backup-simplify: Simplify 0 into 0 1538300261.234 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538300261.235 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300261.236 * [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)))))) 1538300261.237 * [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)))))) 1538300261.239 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300261.240 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300261.246 * [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 1538300261.246 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300261.246 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300261.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300261.247 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300261.248 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538300261.251 * [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 1538300261.251 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300261.252 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1538300261.253 * [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 1538300261.253 * [misc]taylor: Taking taylor expansion of 0 in k 1538300261.253 * [misc]backup-simplify: Simplify 0 into 0 1538300261.253 * [misc]backup-simplify: Simplify 0 into 0 1538300261.253 * [misc]backup-simplify: Simplify 0 into 0 1538300261.253 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300261.255 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300261.257 * [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)))))) 1538300261.258 * [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)))))) 1538300261.261 * [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))))))))))) 1538300261.262 * * * [misc]progress: simplifying candidates 1538300261.262 * * * * [misc]progress: [ 1 / 151 ] simplifiying candidate # 1538300261.262 * * * * [misc]progress: [ 2 / 151 ] simplifiying candidate # 1538300261.262 * * * * [misc]progress: [ 3 / 151 ] simplifiying candidate # 1538300261.262 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538300261.263 * * [misc]simplify: iters left: 6 (12 enodes) 1538300261.268 * * [misc]simplify: iters left: 5 (18 enodes) 1538300261.276 * * [misc]simplify: iters left: 4 (27 enodes) 1538300261.285 * * [misc]simplify: iters left: 3 (29 enodes) 1538300261.294 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1538300261.294 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) (+ 1/2 1/2))) 1538300261.295 * [enter]simplify: Simplifying (+ 1/2 1/2) 1538300261.295 * * [misc]simplify: iters left: 2 (2 enodes) 1538300261.297 * * [misc]simplify: iters left: 1 (3 enodes) 1538300261.297 * [exit]simplify: Simplified to 1 1538300261.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1)) 1538300261.298 * * * * [misc]progress: [ 4 / 151 ] simplifiying candidate # 1538300261.298 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1538300261.299 * * [misc]simplify: iters left: 6 (13 enodes) 1538300261.307 * * [misc]simplify: iters left: 5 (19 enodes) 1538300261.314 * * [misc]simplify: iters left: 4 (28 enodes) 1538300261.323 * * [misc]simplify: iters left: 3 (30 enodes) 1538300261.328 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1538300261.328 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1))) 1538300261.328 * [enter]simplify: Simplifying (+ 1 1) 1538300261.328 * * [misc]simplify: iters left: 2 (2 enodes) 1538300261.330 * * [misc]simplify: iters left: 1 (5 enodes) 1538300261.330 * [exit]simplify: Simplified to 2 1538300261.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 2)) 1538300261.330 * * * * [misc]progress: [ 5 / 151 ] simplifiying candidate # 1538300261.330 * [enter]simplify: Simplifying (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1538300261.331 * * [misc]simplify: iters left: 6 (13 enodes) 1538300261.334 * * [misc]simplify: iters left: 5 (23 enodes) 1538300261.339 * * [misc]simplify: iters left: 4 (38 enodes) 1538300261.345 * * [misc]simplify: iters left: 3 (46 enodes) 1538300261.352 * * [misc]simplify: iters left: 2 (49 enodes) 1538300261.364 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) k) 1538300261.364 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) k) 1/2)) 1538300261.364 * * * * [misc]progress: [ 6 / 151 ] simplifiying candidate # 1538300261.365 * [enter]simplify: Simplifying (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538300261.366 * * [misc]simplify: iters left: 6 (14 enodes) 1538300261.372 * * [misc]simplify: iters left: 5 (20 enodes) 1538300261.380 * * [misc]simplify: iters left: 4 (30 enodes) 1538300261.390 * * [misc]simplify: iters left: 3 (31 enodes) 1538300261.402 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1538300261.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1)) 1538300261.402 * * * * [misc]progress: [ 7 / 151 ] simplifiying candidate # 1538300261.402 * * * * [misc]progress: [ 8 / 151 ] simplifiying candidate # 1538300261.402 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1538300261.403 * * [misc]simplify: iters left: 6 (13 enodes) 1538300261.409 * * [misc]simplify: iters left: 5 (19 enodes) 1538300261.416 * * [misc]simplify: iters left: 4 (28 enodes) 1538300261.421 * * [misc]simplify: iters left: 3 (30 enodes) 1538300261.426 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1538300261.426 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1))) 1538300261.426 * * * * [misc]progress: [ 9 / 151 ] simplifiying candidate # 1538300261.426 * * * * [misc]progress: [ 10 / 151 ] simplifiying candidate # 1538300261.426 * [enter]simplify: Simplifying (+ (log (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1538300261.427 * * [misc]simplify: iters left: 6 (15 enodes) 1538300261.430 * * [misc]simplify: iters left: 5 (21 enodes) 1538300261.435 * * [misc]simplify: iters left: 4 (30 enodes) 1538300261.439 * * [misc]simplify: iters left: 3 (31 enodes) 1538300261.445 * [exit]simplify: Simplified to (+ (log (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1538300261.445 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (log (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))))) 1538300261.445 * * * * [misc]progress: [ 11 / 151 ] simplifiying candidate # 1538300261.445 * * * * [misc]progress: [ 12 / 151 ] simplifiying candidate # 1538300261.445 * * * * [misc]progress: [ 13 / 151 ] simplifiying candidate # 1538300261.445 * [enter]simplify: Simplifying (* (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1538300261.446 * * [misc]simplify: iters left: 6 (16 enodes) 1538300261.453 * * [misc]simplify: iters left: 5 (27 enodes) 1538300261.466 * * [misc]simplify: iters left: 4 (53 enodes) 1538300261.493 * * [misc]simplify: iters left: 3 (103 enodes) 1538300261.543 * * [misc]simplify: iters left: 2 (162 enodes) 1538300261.600 * * [misc]simplify: iters left: 1 (265 enodes) 1538300261.752 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1538300261.752 * [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)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1538300261.752 * * * * [misc]progress: [ 14 / 151 ] simplifiying candidate # 1538300261.752 * * * * [misc]progress: [ 15 / 151 ] simplifiying candidate # 1538300261.753 * * * * [misc]progress: [ 16 / 151 ] simplifiying candidate # 1538300261.753 * [enter]simplify: Simplifying (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1538300261.754 * * [misc]simplify: iters left: 6 (13 enodes) 1538300261.761 * * [misc]simplify: iters left: 5 (23 enodes) 1538300261.770 * * [misc]simplify: iters left: 4 (38 enodes) 1538300261.783 * * [misc]simplify: iters left: 3 (46 enodes) 1538300261.796 * * [misc]simplify: iters left: 2 (49 enodes) 1538300261.804 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) k) 1538300261.804 * [misc]simplify: Simplified (2 1) to (λ (k n) (sqrt (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) k))) 1538300261.804 * * * * [misc]progress: [ 17 / 151 ] simplifiying candidate # 1538300261.804 * * * * [misc]progress: [ 18 / 151 ] simplifiying candidate # 1538300261.805 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1538300261.805 * * [misc]simplify: iters left: 5 (10 enodes) 1538300261.807 * * [misc]simplify: iters left: 4 (16 enodes) 1538300261.813 * * [misc]simplify: iters left: 3 (25 enodes) 1538300261.816 * * [misc]simplify: iters left: 2 (26 enodes) 1538300261.821 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1538300261.821 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1538300261.821 * [enter]simplify: Simplifying (sqrt k) 1538300261.821 * * [misc]simplify: iters left: 1 (2 enodes) 1538300261.821 * [exit]simplify: Simplified to (sqrt k) 1538300261.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1538300261.821 * * * * [misc]progress: [ 19 / 151 ] simplifiying candidate # 1538300261.822 * [enter]simplify: Simplifying (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1538300261.822 * * [misc]simplify: iters left: 6 (12 enodes) 1538300261.825 * * [misc]simplify: iters left: 5 (18 enodes) 1538300261.829 * * [misc]simplify: iters left: 4 (28 enodes) 1538300261.833 * * [misc]simplify: iters left: 3 (30 enodes) 1538300261.838 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1538300261.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt k))))) 1538300261.838 * [enter]simplify: Simplifying (* (sqrt (sqrt k)) (sqrt (sqrt k))) 1538300261.838 * * [misc]simplify: iters left: 4 (4 enodes) 1538300261.839 * [exit]simplify: Simplified to (sqrt k) 1538300261.839 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1538300261.839 * * * * [misc]progress: [ 20 / 151 ] simplifiying candidate # 1538300261.839 * * * * [misc]progress: [ 21 / 151 ] simplifiying candidate # 1538300261.839 * [enter]simplify: Simplifying (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538300261.841 * * [misc]simplify: iters left: 6 (14 enodes) 1538300261.845 * * [misc]simplify: iters left: 5 (20 enodes) 1538300261.849 * * [misc]simplify: iters left: 4 (29 enodes) 1538300261.853 * * [misc]simplify: iters left: 3 (30 enodes) 1538300261.859 * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538300261.859 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300261.859 * * * * [misc]progress: [ 22 / 151 ] simplifiying candidate # 1538300261.859 * [enter]simplify: Simplifying (sqrt (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538300261.860 * * [misc]simplify: iters left: 6 (14 enodes) 1538300261.863 * * [misc]simplify: iters left: 5 (20 enodes) 1538300261.867 * * [misc]simplify: iters left: 4 (29 enodes) 1538300261.872 * * [misc]simplify: iters left: 3 (30 enodes) 1538300261.877 * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538300261.877 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) (sqrt (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300261.877 * * * * [misc]progress: [ 23 / 151 ] simplifiying candidate # 1538300261.877 * [enter]simplify: Simplifying (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538300261.878 * * [misc]simplify: iters left: 6 (14 enodes) 1538300261.882 * * [misc]simplify: iters left: 5 (20 enodes) 1538300261.886 * * [misc]simplify: iters left: 4 (29 enodes) 1538300261.891 * * [misc]simplify: iters left: 3 (30 enodes) 1538300261.896 * [exit]simplify: Simplified to (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538300261.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300261.896 * * * * [misc]progress: [ 24 / 151 ] simplifiying candidate # 1538300261.896 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))) 1538300261.897 * * [misc]simplify: iters left: 6 (13 enodes) 1538300261.900 * * [misc]simplify: iters left: 5 (19 enodes) 1538300261.903 * * [misc]simplify: iters left: 4 (25 enodes) 1538300261.907 * * [misc]simplify: iters left: 3 (26 enodes) 1538300261.911 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))) 1538300261.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))) 1538300261.912 * * * * [misc]progress: [ 25 / 151 ] simplifiying candidate # 1538300261.912 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1538300261.912 * * [misc]simplify: iters left: 6 (13 enodes) 1538300261.915 * * [misc]simplify: iters left: 5 (19 enodes) 1538300261.919 * * [misc]simplify: iters left: 4 (25 enodes) 1538300261.923 * * [misc]simplify: iters left: 3 (26 enodes) 1538300261.927 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1538300261.927 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1538300261.927 * * * * [misc]progress: [ 26 / 151 ] simplifiying candidate # 1538300261.927 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1538300261.928 * * [misc]simplify: iters left: 6 (12 enodes) 1538300261.931 * * [misc]simplify: iters left: 5 (18 enodes) 1538300261.934 * * [misc]simplify: iters left: 4 (24 enodes) 1538300261.938 * * [misc]simplify: iters left: 3 (25 enodes) 1538300261.942 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1538300261.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) 1))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1538300261.942 * * * * [misc]progress: [ 27 / 151 ] simplifiying candidate # 1538300261.942 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))) 1538300261.943 * * [misc]simplify: iters left: 6 (13 enodes) 1538300261.948 * * [misc]simplify: iters left: 5 (19 enodes) 1538300261.951 * * [misc]simplify: iters left: 4 (25 enodes) 1538300261.955 * * [misc]simplify: iters left: 3 (26 enodes) 1538300261.960 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))) 1538300261.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))))) 1538300261.960 * * * * [misc]progress: [ 28 / 151 ] simplifiying candidate # 1538300261.960 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) 1538300261.961 * * [misc]simplify: iters left: 6 (13 enodes) 1538300261.963 * * [misc]simplify: iters left: 5 (19 enodes) 1538300261.967 * * [misc]simplify: iters left: 4 (25 enodes) 1538300261.971 * * [misc]simplify: iters left: 3 (26 enodes) 1538300261.975 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) 1538300261.975 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))))) 1538300261.975 * * * * [misc]progress: [ 29 / 151 ] simplifiying candidate # 1538300261.975 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) 1538300261.976 * * [misc]simplify: iters left: 6 (12 enodes) 1538300261.978 * * [misc]simplify: iters left: 5 (18 enodes) 1538300261.982 * * [misc]simplify: iters left: 4 (24 enodes) 1538300261.985 * * [misc]simplify: iters left: 3 (25 enodes) 1538300261.992 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))) 1538300261.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) 1/2) 1))) (sqrt (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))) 1538300261.992 * * * * [misc]progress: [ 30 / 151 ] simplifiying candidate # 1538300261.993 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538300261.994 * * [misc]simplify: iters left: 6 (12 enodes) 1538300261.999 * * [misc]simplify: iters left: 5 (15 enodes) 1538300262.004 * * [misc]simplify: iters left: 4 (18 enodes) 1538300262.010 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538300262.010 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538300262.011 * * * * [misc]progress: [ 31 / 151 ] simplifiying candidate # 1538300262.011 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538300262.012 * * [misc]simplify: iters left: 6 (12 enodes) 1538300262.016 * * [misc]simplify: iters left: 5 (15 enodes) 1538300262.022 * * [misc]simplify: iters left: 4 (18 enodes) 1538300262.029 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538300262.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538300262.029 * * * * [misc]progress: [ 32 / 151 ] simplifiying candidate # 1538300262.029 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1538300262.030 * * [misc]simplify: iters left: 6 (11 enodes) 1538300262.036 * * [misc]simplify: iters left: 5 (14 enodes) 1538300262.042 * * [misc]simplify: iters left: 4 (17 enodes) 1538300262.048 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1538300262.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300262.049 * * * * [misc]progress: [ 33 / 151 ] simplifiying candidate # 1538300262.049 * [enter]simplify: Simplifying (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538300262.051 * * [misc]simplify: iters left: 6 (15 enodes) 1538300262.057 * * [misc]simplify: iters left: 5 (21 enodes) 1538300262.065 * * [misc]simplify: iters left: 4 (30 enodes) 1538300262.074 * * [misc]simplify: iters left: 3 (31 enodes) 1538300262.084 * [exit]simplify: Simplified to (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538300262.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1538300262.084 * * * * [misc]progress: [ 34 / 151 ] simplifiying candidate # 1538300262.084 * [enter]simplify: Simplifying (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538300262.086 * * [misc]simplify: iters left: 6 (15 enodes) 1538300262.091 * * [misc]simplify: iters left: 5 (21 enodes) 1538300262.098 * * [misc]simplify: iters left: 4 (30 enodes) 1538300262.104 * * [misc]simplify: iters left: 3 (31 enodes) 1538300262.109 * [exit]simplify: Simplified to (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538300262.109 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1538300262.109 * * * * [misc]progress: [ 35 / 151 ] simplifiying candidate # 1538300262.109 * [enter]simplify: Simplifying (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))) 1538300262.110 * * [misc]simplify: iters left: 6 (14 enodes) 1538300262.113 * * [misc]simplify: iters left: 5 (20 enodes) 1538300262.117 * * [misc]simplify: iters left: 4 (29 enodes) 1538300262.121 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.126 * [exit]simplify: Simplified to (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))) 1538300262.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1))) (sqrt (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))))) 1538300262.126 * * * * [misc]progress: [ 36 / 151 ] simplifiying candidate # 1538300262.126 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538300262.127 * * [misc]simplify: iters left: 6 (15 enodes) 1538300262.135 * * [misc]simplify: iters left: 5 (21 enodes) 1538300262.143 * * [misc]simplify: iters left: 4 (30 enodes) 1538300262.152 * * [misc]simplify: iters left: 3 (31 enodes) 1538300262.163 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538300262.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1538300262.163 * * * * [misc]progress: [ 37 / 151 ] simplifiying candidate # 1538300262.164 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538300262.165 * * [misc]simplify: iters left: 6 (15 enodes) 1538300262.171 * * [misc]simplify: iters left: 5 (21 enodes) 1538300262.180 * * [misc]simplify: iters left: 4 (30 enodes) 1538300262.190 * * [misc]simplify: iters left: 3 (31 enodes) 1538300262.201 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538300262.201 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1538300262.201 * * * * [misc]progress: [ 38 / 151 ] simplifiying candidate # 1538300262.202 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))) 1538300262.203 * * [misc]simplify: iters left: 6 (14 enodes) 1538300262.209 * * [misc]simplify: iters left: 5 (20 enodes) 1538300262.217 * * [misc]simplify: iters left: 4 (29 enodes) 1538300262.227 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.237 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))) 1538300262.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1))) (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))))) 1538300262.238 * * * * [misc]progress: [ 39 / 151 ] simplifiying candidate # 1538300262.238 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538300262.239 * * [misc]simplify: iters left: 6 (14 enodes) 1538300262.245 * * [misc]simplify: iters left: 5 (20 enodes) 1538300262.253 * * [misc]simplify: iters left: 4 (29 enodes) 1538300262.265 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.276 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538300262.276 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538300262.276 * * * * [misc]progress: [ 40 / 151 ] simplifiying candidate # 1538300262.276 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538300262.278 * * [misc]simplify: iters left: 6 (14 enodes) 1538300262.283 * * [misc]simplify: iters left: 5 (20 enodes) 1538300262.292 * * [misc]simplify: iters left: 4 (29 enodes) 1538300262.300 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.309 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538300262.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538300262.310 * * * * [misc]progress: [ 41 / 151 ] simplifiying candidate # 1538300262.310 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1538300262.311 * * [misc]simplify: iters left: 6 (13 enodes) 1538300262.316 * * [misc]simplify: iters left: 5 (19 enodes) 1538300262.324 * * [misc]simplify: iters left: 4 (28 enodes) 1538300262.333 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.343 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1538300262.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 1))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1538300262.343 * * * * [misc]progress: [ 42 / 151 ] simplifiying candidate # 1538300262.343 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1538300262.344 * * [misc]simplify: iters left: 6 (13 enodes) 1538300262.350 * * [misc]simplify: iters left: 5 (19 enodes) 1538300262.358 * * [misc]simplify: iters left: 4 (28 enodes) 1538300262.367 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.372 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1538300262.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt 1)) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1538300262.372 * * * * [misc]progress: [ 43 / 151 ] simplifiying candidate # 1538300262.372 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt k))) 1538300262.373 * * [misc]simplify: iters left: 4 (5 enodes) 1538300262.373 * * [misc]simplify: iters left: 3 (7 enodes) 1538300262.375 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1538300262.375 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (/ 1 (sqrt k))))) 1538300262.375 * * * * [misc]progress: [ 44 / 151 ] simplifiying candidate # 1538300262.375 * [enter]simplify: Simplifying (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538300262.375 * * [misc]simplify: iters left: 6 (14 enodes) 1538300262.379 * * [misc]simplify: iters left: 5 (20 enodes) 1538300262.384 * * [misc]simplify: iters left: 4 (29 enodes) 1538300262.388 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.393 * [exit]simplify: Simplified to (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538300262.393 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.393 * * * * [misc]progress: [ 45 / 151 ] simplifiying candidate # 1538300262.393 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1538300262.394 * * [misc]simplify: iters left: 6 (13 enodes) 1538300262.398 * * [misc]simplify: iters left: 5 (19 enodes) 1538300262.406 * * [misc]simplify: iters left: 4 (28 enodes) 1538300262.411 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.416 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1538300262.416 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1538300262.416 * * * * [misc]progress: [ 46 / 151 ] simplifiying candidate # 1538300262.417 * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1538300262.417 * * [misc]simplify: iters left: 6 (15 enodes) 1538300262.421 * * [misc]simplify: iters left: 5 (21 enodes) 1538300262.425 * * [misc]simplify: iters left: 4 (30 enodes) 1538300262.430 * * [misc]simplify: iters left: 3 (31 enodes) 1538300262.436 * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) 1538300262.436 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.436 * * * * [misc]progress: [ 47 / 151 ] simplifiying candidate # 1538300262.436 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))) 1538300262.438 * * [misc]simplify: iters left: 6 (15 enodes) 1538300262.441 * * [misc]simplify: iters left: 5 (22 enodes) 1538300262.445 * * [misc]simplify: iters left: 4 (31 enodes) 1538300262.451 * * [misc]simplify: iters left: 3 (33 enodes) 1538300262.457 * [exit]simplify: Simplified to (fabs (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538300262.457 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fabs (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.457 * * * * [misc]progress: [ 48 / 151 ] simplifiying candidate # 1538300262.457 * [enter]simplify: Simplifying (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538300262.458 * * [misc]simplify: iters left: 6 (14 enodes) 1538300262.461 * * [misc]simplify: iters left: 5 (20 enodes) 1538300262.465 * * [misc]simplify: iters left: 4 (29 enodes) 1538300262.470 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.475 * [exit]simplify: Simplified to (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538300262.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.475 * * * * [misc]progress: [ 49 / 151 ] simplifiying candidate # 1538300262.475 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.476 * * [misc]simplify: iters left: 6 (13 enodes) 1538300262.482 * * [misc]simplify: iters left: 5 (20 enodes) 1538300262.489 * * [misc]simplify: iters left: 4 (26 enodes) 1538300262.497 * * [misc]simplify: iters left: 3 (28 enodes) 1538300262.507 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.507 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.507 * * * * [misc]progress: [ 50 / 151 ] simplifiying candidate # 1538300262.507 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))) 1538300262.508 * * [misc]simplify: iters left: 6 (12 enodes) 1538300262.514 * * [misc]simplify: iters left: 5 (17 enodes) 1538300262.520 * * [misc]simplify: iters left: 4 (23 enodes) 1538300262.527 * * [misc]simplify: iters left: 3 (24 enodes) 1538300262.535 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) 1538300262.535 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.536 * * * * [misc]progress: [ 51 / 151 ] simplifiying candidate # 1538300262.536 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) 1)) 1538300262.537 * * [misc]simplify: iters left: 6 (10 enodes) 1538300262.541 * * [misc]simplify: iters left: 5 (17 enodes) 1538300262.548 * * [misc]simplify: iters left: 4 (25 enodes) 1538300262.557 * * [misc]simplify: iters left: 3 (26 enodes) 1538300262.564 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1538300262.564 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.565 * * * * [misc]progress: [ 52 / 151 ] simplifiying candidate # 1538300262.565 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.566 * * [misc]simplify: iters left: 6 (13 enodes) 1538300262.572 * * [misc]simplify: iters left: 5 (20 enodes) 1538300262.579 * * [misc]simplify: iters left: 4 (26 enodes) 1538300262.587 * * [misc]simplify: iters left: 3 (28 enodes) 1538300262.594 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.594 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.594 * * * * [misc]progress: [ 53 / 151 ] simplifiying candidate # 1538300262.594 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))) 1538300262.595 * * [misc]simplify: iters left: 6 (12 enodes) 1538300262.597 * * [misc]simplify: iters left: 5 (17 enodes) 1538300262.601 * * [misc]simplify: iters left: 4 (23 enodes) 1538300262.604 * * [misc]simplify: iters left: 3 (24 enodes) 1538300262.608 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) 1538300262.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.608 * * * * [misc]progress: [ 54 / 151 ] simplifiying candidate # 1538300262.608 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) 1)) 1538300262.609 * * [misc]simplify: iters left: 6 (10 enodes) 1538300262.611 * * [misc]simplify: iters left: 5 (17 enodes) 1538300262.615 * * [misc]simplify: iters left: 4 (25 enodes) 1538300262.618 * * [misc]simplify: iters left: 3 (26 enodes) 1538300262.622 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1538300262.622 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.622 * * * * [misc]progress: [ 55 / 151 ] simplifiying candidate # 1538300262.622 * [enter]simplify: Simplifying (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.623 * * [misc]simplify: iters left: 6 (12 enodes) 1538300262.625 * * [misc]simplify: iters left: 5 (16 enodes) 1538300262.628 * * [misc]simplify: iters left: 4 (19 enodes) 1538300262.631 * [exit]simplify: Simplified to (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.631 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.632 * * * * [misc]progress: [ 56 / 151 ] simplifiying candidate # 1538300262.632 * [enter]simplify: Simplifying (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538300262.633 * * [misc]simplify: iters left: 6 (11 enodes) 1538300262.637 * * [misc]simplify: iters left: 5 (13 enodes) 1538300262.641 * * [misc]simplify: iters left: 4 (16 enodes) 1538300262.650 * [exit]simplify: Simplified to (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538300262.650 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.650 * * * * [misc]progress: [ 57 / 151 ] simplifiying candidate # 1538300262.651 * [enter]simplify: Simplifying (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1)) 1538300262.651 * * [misc]simplify: iters left: 6 (10 enodes) 1538300262.653 * * [misc]simplify: iters left: 5 (14 enodes) 1538300262.656 * * [misc]simplify: iters left: 4 (19 enodes) 1538300262.659 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538300262.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.659 * * * * [misc]progress: [ 58 / 151 ] simplifiying candidate # 1538300262.659 * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.660 * * [misc]simplify: iters left: 6 (17 enodes) 1538300262.664 * * [misc]simplify: iters left: 5 (29 enodes) 1538300262.670 * * [misc]simplify: iters left: 4 (48 enodes) 1538300262.678 * * [misc]simplify: iters left: 3 (52 enodes) 1538300262.685 * * [misc]simplify: iters left: 2 (55 enodes) 1538300262.695 * [exit]simplify: Simplified to (fabs (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538300262.695 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fabs (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.695 * * * * [misc]progress: [ 59 / 151 ] simplifiying candidate # 1538300262.695 * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1538300262.697 * * [misc]simplify: iters left: 6 (16 enodes) 1538300262.704 * * [misc]simplify: iters left: 5 (24 enodes) 1538300262.713 * * [misc]simplify: iters left: 4 (35 enodes) 1538300262.725 * * [misc]simplify: iters left: 3 (37 enodes) 1538300262.742 * [exit]simplify: Simplified to (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 1538300262.742 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) (* (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.742 * * * * [misc]progress: [ 60 / 151 ] simplifiying candidate # 1538300262.742 * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1)) 1538300262.744 * * [misc]simplify: iters left: 6 (15 enodes) 1538300262.750 * * [misc]simplify: iters left: 5 (25 enodes) 1538300262.759 * * [misc]simplify: iters left: 4 (41 enodes) 1538300262.765 * * [misc]simplify: iters left: 3 (45 enodes) 1538300262.771 * * [misc]simplify: iters left: 2 (50 enodes) 1538300262.778 * [exit]simplify: Simplified to (fabs (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1538300262.778 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fabs (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.778 * * * * [misc]progress: [ 61 / 151 ] simplifiying candidate # 1538300262.778 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.779 * * [misc]simplify: iters left: 6 (16 enodes) 1538300262.783 * * [misc]simplify: iters left: 5 (24 enodes) 1538300262.787 * * [misc]simplify: iters left: 4 (33 enodes) 1538300262.792 * * [misc]simplify: iters left: 3 (34 enodes) 1538300262.798 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.798 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.798 * * * * [misc]progress: [ 62 / 151 ] simplifiying candidate # 1538300262.798 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538300262.799 * * [misc]simplify: iters left: 6 (15 enodes) 1538300262.802 * * [misc]simplify: iters left: 5 (21 enodes) 1538300262.809 * * [misc]simplify: iters left: 4 (30 enodes) 1538300262.821 * * [misc]simplify: iters left: 3 (31 enodes) 1538300262.831 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538300262.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.831 * * * * [misc]progress: [ 63 / 151 ] simplifiying candidate # 1538300262.832 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)) 1538300262.833 * * [misc]simplify: iters left: 6 (14 enodes) 1538300262.838 * * [misc]simplify: iters left: 5 (22 enodes) 1538300262.847 * * [misc]simplify: iters left: 4 (33 enodes) 1538300262.856 * * [misc]simplify: iters left: 3 (35 enodes) 1538300262.867 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1538300262.867 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.867 * * * * [misc]progress: [ 64 / 151 ] simplifiying candidate # 1538300262.867 * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538300262.868 * * [misc]simplify: iters left: 6 (7 enodes) 1538300262.871 * * [misc]simplify: iters left: 5 (11 enodes) 1538300262.875 * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))) 1538300262.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.875 * * * * [misc]progress: [ 65 / 151 ] simplifiying candidate # 1538300262.876 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (sqrt k)))) 1538300262.876 * * [misc]simplify: iters left: 5 (6 enodes) 1538300262.878 * * [misc]simplify: iters left: 4 (8 enodes) 1538300262.881 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt k)))) 1538300262.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt (sqrt k)))) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.881 * * * * [misc]progress: [ 66 / 151 ] simplifiying candidate # 1538300262.881 * [enter]simplify: Simplifying (sqrt (/ 1 1)) 1538300262.881 * * [misc]simplify: iters left: 3 (3 enodes) 1538300262.883 * * [misc]simplify: iters left: 2 (5 enodes) 1538300262.884 * [exit]simplify: Simplified to 1 1538300262.884 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.884 * * * * [misc]progress: [ 67 / 151 ] simplifiying candidate # 1538300262.885 * [enter]simplify: Simplifying (sqrt 1) 1538300262.885 * * [misc]simplify: iters left: 1 (2 enodes) 1538300262.886 * [exit]simplify: Simplified to 1 1538300262.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.886 * * * * [misc]progress: [ 68 / 151 ] simplifiying candidate # 1538300262.887 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1538300262.887 * * [misc]simplify: iters left: 6 (11 enodes) 1538300262.890 * * [misc]simplify: iters left: 5 (17 enodes) 1538300262.893 * * [misc]simplify: iters left: 4 (26 enodes) 1538300262.897 * * [misc]simplify: iters left: 3 (27 enodes) 1538300262.901 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1538300262.901 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.901 * * * * [misc]progress: [ 69 / 151 ] simplifiying candidate # 1538300262.902 * [enter]simplify: Simplifying (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538300262.902 * * [misc]simplify: iters left: 6 (14 enodes) 1538300262.905 * * [misc]simplify: iters left: 5 (20 enodes) 1538300262.909 * * [misc]simplify: iters left: 4 (29 enodes) 1538300262.913 * * [misc]simplify: iters left: 3 (30 enodes) 1538300262.925 * [exit]simplify: Simplified to (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538300262.925 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300262.925 * * * * [misc]progress: [ 70 / 151 ] simplifiying candidate # 1538300262.925 * * * * [misc]progress: [ 71 / 151 ] simplifiying candidate # 1538300262.925 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538300262.926 * * [misc]simplify: iters left: 2 (3 enodes) 1538300262.927 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538300262.927 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1538300262.927 * * * * [misc]progress: [ 72 / 151 ] simplifiying candidate # 1538300262.927 * [enter]simplify: Simplifying (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538300262.929 * * [misc]simplify: iters left: 6 (15 enodes) 1538300262.935 * * [misc]simplify: iters left: 5 (22 enodes) 1538300262.943 * * [misc]simplify: iters left: 4 (31 enodes) 1538300262.953 * * [misc]simplify: iters left: 3 (33 enodes) 1538300262.965 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538300262.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt k)))) 1538300262.965 * * * * [misc]progress: [ 73 / 151 ] simplifiying candidate # 1538300262.965 * * * * [misc]progress: [ 74 / 151 ] simplifiying candidate # 1538300262.965 * * * * [misc]progress: [ 75 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 76 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 77 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 78 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 79 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 80 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 81 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 82 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 83 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 84 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 85 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 86 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 87 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 88 / 151 ] simplifiying candidate # 1538300262.966 * * * * [misc]progress: [ 89 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 90 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 91 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 92 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 93 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 94 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 95 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 96 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 97 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 98 / 151 ] simplifiying candidate # 1538300262.967 * * * * [misc]progress: [ 99 / 151 ] simplifiying candidate # 1538300262.967 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300262.969 * * [misc]simplify: iters left: 6 (14 enodes) 1538300262.976 * * [misc]simplify: iters left: 5 (27 enodes) 1538300262.990 * * [misc]simplify: iters left: 4 (55 enodes) 1538300263.009 * * [misc]simplify: iters left: 3 (144 enodes) 1538300263.195 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1538300263.195 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))))) 1538300263.195 * * * * [misc]progress: [ 100 / 151 ] simplifiying candidate # 1538300263.195 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300263.197 * * [misc]simplify: iters left: 6 (14 enodes) 1538300263.203 * * [misc]simplify: iters left: 5 (27 enodes) 1538300263.217 * * [misc]simplify: iters left: 4 (55 enodes) 1538300263.253 * * [misc]simplify: iters left: 3 (144 enodes) 1538300263.374 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1538300263.374 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))))) 1538300263.374 * * * * [misc]progress: [ 101 / 151 ] simplifiying candidate # 1538300263.374 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1538300263.375 * * [misc]simplify: iters left: 6 (14 enodes) 1538300263.379 * * [misc]simplify: iters left: 5 (24 enodes) 1538300263.384 * * [misc]simplify: iters left: 4 (43 enodes) 1538300263.394 * * [misc]simplify: iters left: 3 (73 enodes) 1538300263.426 * * [misc]simplify: iters left: 2 (220 enodes) 1538300263.659 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1538300263.659 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))))) 1538300263.659 * * * * [misc]progress: [ 102 / 151 ] simplifiying candidate # 1538300263.659 * * * * [misc]progress: [ 103 / 151 ] simplifiying candidate # 1538300263.659 * * * * [misc]progress: [ 104 / 151 ] simplifiying candidate # 1538300263.660 * [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))) 1538300263.661 * * [misc]simplify: iters left: 6 (16 enodes) 1538300263.665 * * [misc]simplify: iters left: 5 (31 enodes) 1538300263.673 * * [misc]simplify: iters left: 4 (67 enodes) 1538300263.689 * * [misc]simplify: iters left: 3 (124 enodes) 1538300263.720 * * [misc]simplify: iters left: 2 (195 enodes) 1538300263.773 * * [misc]simplify: iters left: 1 (309 enodes) 1538300263.904 * [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)))) 1538300263.904 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (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)))))))) 1538300263.904 * * * * [misc]progress: [ 105 / 151 ] simplifiying candidate # 1538300263.904 * * * * [misc]progress: [ 106 / 151 ] simplifiying candidate # 1538300263.904 * * * * [misc]progress: [ 107 / 151 ] simplifiying candidate # 1538300263.904 * * * * [misc]progress: [ 108 / 151 ] simplifiying candidate # 1538300263.904 * * * * [misc]progress: [ 109 / 151 ] simplifiying candidate # 1538300263.905 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300263.905 * * [misc]simplify: iters left: 6 (12 enodes) 1538300263.908 * * [misc]simplify: iters left: 5 (19 enodes) 1538300263.911 * * [misc]simplify: iters left: 4 (25 enodes) 1538300263.915 * * [misc]simplify: iters left: 3 (26 enodes) 1538300263.919 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300263.919 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))))) 1538300263.919 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538300263.920 * * [misc]simplify: iters left: 6 (12 enodes) 1538300263.922 * * [misc]simplify: iters left: 5 (18 enodes) 1538300263.926 * * [misc]simplify: iters left: 4 (24 enodes) 1538300263.930 * * [misc]simplify: iters left: 3 (25 enodes) 1538300263.934 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538300263.934 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))))) 1538300263.934 * * * * [misc]progress: [ 110 / 151 ] simplifiying candidate # 1538300263.934 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538300263.935 * * [misc]simplify: iters left: 6 (11 enodes) 1538300263.938 * * [misc]simplify: iters left: 5 (16 enodes) 1538300263.941 * * [misc]simplify: iters left: 4 (22 enodes) 1538300263.944 * * [misc]simplify: iters left: 3 (24 enodes) 1538300263.948 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538300263.948 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))))) 1538300263.949 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538300263.949 * * [misc]simplify: iters left: 6 (12 enodes) 1538300263.952 * * [misc]simplify: iters left: 5 (18 enodes) 1538300263.958 * * [misc]simplify: iters left: 4 (24 enodes) 1538300263.962 * * [misc]simplify: iters left: 3 (25 enodes) 1538300263.966 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538300263.966 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))))) 1538300263.966 * * * * [misc]progress: [ 111 / 151 ] simplifiying candidate # 1538300263.966 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538300263.967 * * [misc]simplify: iters left: 6 (9 enodes) 1538300263.969 * * [misc]simplify: iters left: 5 (16 enodes) 1538300263.972 * * [misc]simplify: iters left: 4 (24 enodes) 1538300263.976 * * [misc]simplify: iters left: 3 (26 enodes) 1538300263.980 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538300263.980 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))) 1538300263.980 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538300263.981 * * [misc]simplify: iters left: 6 (11 enodes) 1538300263.983 * * [misc]simplify: iters left: 5 (17 enodes) 1538300263.986 * * [misc]simplify: iters left: 4 (23 enodes) 1538300263.989 * * [misc]simplify: iters left: 3 (24 enodes) 1538300263.993 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538300263.993 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))))) 1538300263.993 * * * * [misc]progress: [ 112 / 151 ] simplifiying candidate # 1538300263.994 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300263.994 * * [misc]simplify: iters left: 6 (12 enodes) 1538300263.997 * * [misc]simplify: iters left: 5 (19 enodes) 1538300264.000 * * [misc]simplify: iters left: 4 (25 enodes) 1538300264.004 * * [misc]simplify: iters left: 3 (26 enodes) 1538300264.008 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300264.008 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))))) 1538300264.008 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538300264.009 * * [misc]simplify: iters left: 6 (12 enodes) 1538300264.011 * * [misc]simplify: iters left: 5 (18 enodes) 1538300264.015 * * [misc]simplify: iters left: 4 (24 enodes) 1538300264.018 * * [misc]simplify: iters left: 3 (25 enodes) 1538300264.024 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538300264.024 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))))) 1538300264.024 * * * * [misc]progress: [ 113 / 151 ] simplifiying candidate # 1538300264.024 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538300264.025 * * [misc]simplify: iters left: 6 (11 enodes) 1538300264.027 * * [misc]simplify: iters left: 5 (16 enodes) 1538300264.031 * * [misc]simplify: iters left: 4 (22 enodes) 1538300264.034 * * [misc]simplify: iters left: 3 (24 enodes) 1538300264.041 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538300264.041 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))))) 1538300264.041 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538300264.043 * * [misc]simplify: iters left: 6 (12 enodes) 1538300264.048 * * [misc]simplify: iters left: 5 (18 enodes) 1538300264.054 * * [misc]simplify: iters left: 4 (24 enodes) 1538300264.061 * * [misc]simplify: iters left: 3 (25 enodes) 1538300264.069 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538300264.069 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))))) 1538300264.069 * * * * [misc]progress: [ 114 / 151 ] simplifiying candidate # 1538300264.070 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538300264.070 * * [misc]simplify: iters left: 6 (9 enodes) 1538300264.075 * * [misc]simplify: iters left: 5 (16 enodes) 1538300264.082 * * [misc]simplify: iters left: 4 (24 enodes) 1538300264.088 * * [misc]simplify: iters left: 3 (26 enodes) 1538300264.096 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538300264.096 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))))) 1538300264.096 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538300264.097 * * [misc]simplify: iters left: 6 (11 enodes) 1538300264.102 * * [misc]simplify: iters left: 5 (17 enodes) 1538300264.108 * * [misc]simplify: iters left: 4 (23 enodes) 1538300264.115 * * [misc]simplify: iters left: 3 (24 enodes) 1538300264.124 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538300264.124 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))))) 1538300264.124 * * * * [misc]progress: [ 115 / 151 ] simplifiying candidate # 1538300264.124 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300264.125 * * [misc]simplify: iters left: 6 (11 enodes) 1538300264.129 * * [misc]simplify: iters left: 5 (15 enodes) 1538300264.137 * * [misc]simplify: iters left: 4 (18 enodes) 1538300264.144 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300264.144 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300264.145 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300264.146 * * [misc]simplify: iters left: 6 (11 enodes) 1538300264.150 * * [misc]simplify: iters left: 5 (14 enodes) 1538300264.155 * * [misc]simplify: iters left: 4 (17 enodes) 1538300264.160 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300264.160 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300264.160 * * * * [misc]progress: [ 116 / 151 ] simplifiying candidate # 1538300264.161 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300264.161 * * [misc]simplify: iters left: 6 (10 enodes) 1538300264.163 * * [misc]simplify: iters left: 5 (12 enodes) 1538300264.165 * * [misc]simplify: iters left: 4 (15 enodes) 1538300264.168 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300264.168 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300264.168 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300264.168 * * [misc]simplify: iters left: 6 (11 enodes) 1538300264.170 * * [misc]simplify: iters left: 5 (14 enodes) 1538300264.173 * * [misc]simplify: iters left: 4 (17 enodes) 1538300264.176 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300264.176 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300264.176 * * * * [misc]progress: [ 117 / 151 ] simplifiying candidate # 1538300264.176 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1538300264.176 * * [misc]simplify: iters left: 6 (9 enodes) 1538300264.178 * * [misc]simplify: iters left: 5 (13 enodes) 1538300264.181 * * [misc]simplify: iters left: 4 (18 enodes) 1538300264.184 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538300264.184 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300264.184 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300264.184 * * [misc]simplify: iters left: 6 (10 enodes) 1538300264.186 * * [misc]simplify: iters left: 5 (13 enodes) 1538300264.190 * * [misc]simplify: iters left: 4 (16 enodes) 1538300264.195 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300264.195 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300264.195 * * * * [misc]progress: [ 118 / 151 ] simplifiying candidate # 1538300264.196 * [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)))) 1538300264.197 * * [misc]simplify: iters left: 6 (16 enodes) 1538300264.205 * * [misc]simplify: iters left: 5 (28 enodes) 1538300264.217 * * [misc]simplify: iters left: 4 (46 enodes) 1538300264.232 * * [misc]simplify: iters left: 3 (50 enodes) 1538300264.248 * * [misc]simplify: iters left: 2 (53 enodes) 1538300264.264 * [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)))) 1538300264.264 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (* (/ (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))))))) 1538300264.264 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300264.265 * * [misc]simplify: iters left: 6 (14 enodes) 1538300264.268 * * [misc]simplify: iters left: 5 (20 enodes) 1538300264.272 * * [misc]simplify: iters left: 4 (29 enodes) 1538300264.276 * * [misc]simplify: iters left: 3 (30 enodes) 1538300264.281 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300264.281 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (* (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))))))) 1538300264.281 * * * * [misc]progress: [ 119 / 151 ] simplifiying candidate # 1538300264.281 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538300264.282 * * [misc]simplify: iters left: 6 (15 enodes) 1538300264.285 * * [misc]simplify: iters left: 5 (23 enodes) 1538300264.290 * * [misc]simplify: iters left: 4 (34 enodes) 1538300264.295 * * [misc]simplify: iters left: 3 (37 enodes) 1538300264.302 * [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)))))) 1538300264.302 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (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))))))) 1538300264.302 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300264.303 * * [misc]simplify: iters left: 6 (14 enodes) 1538300264.306 * * [misc]simplify: iters left: 5 (20 enodes) 1538300264.310 * * [misc]simplify: iters left: 4 (29 enodes) 1538300264.316 * * [misc]simplify: iters left: 3 (30 enodes) 1538300264.321 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300264.321 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (* (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))))))) 1538300264.321 * * * * [misc]progress: [ 120 / 151 ] simplifiying candidate # 1538300264.321 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1538300264.322 * * [misc]simplify: iters left: 6 (14 enodes) 1538300264.325 * * [misc]simplify: iters left: 5 (24 enodes) 1538300264.330 * * [misc]simplify: iters left: 4 (39 enodes) 1538300264.338 * * [misc]simplify: iters left: 3 (54 enodes) 1538300264.348 * * [misc]simplify: iters left: 2 (80 enodes) 1538300264.360 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1538300264.360 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (* (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)))))) 1538300264.360 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538300264.361 * * [misc]simplify: iters left: 6 (13 enodes) 1538300264.363 * * [misc]simplify: iters left: 5 (19 enodes) 1538300264.367 * * [misc]simplify: iters left: 4 (28 enodes) 1538300264.372 * * [misc]simplify: iters left: 3 (30 enodes) 1538300264.377 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538300264.377 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (* (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)))))) 1538300264.377 * * * * [misc]progress: [ 121 / 151 ] simplifiying candidate # 1538300264.377 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300264.378 * * [misc]simplify: iters left: 6 (15 enodes) 1538300264.381 * * [misc]simplify: iters left: 5 (23 enodes) 1538300264.387 * * [misc]simplify: iters left: 4 (32 enodes) 1538300264.392 * * [misc]simplify: iters left: 3 (34 enodes) 1538300264.398 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300264.398 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (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))))))) 1538300264.398 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300264.399 * * [misc]simplify: iters left: 6 (14 enodes) 1538300264.401 * * [misc]simplify: iters left: 5 (20 enodes) 1538300264.405 * * [misc]simplify: iters left: 4 (29 enodes) 1538300264.409 * * [misc]simplify: iters left: 3 (30 enodes) 1538300264.414 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300264.415 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (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))))))) 1538300264.415 * * * * [misc]progress: [ 122 / 151 ] simplifiying candidate # 1538300264.415 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300264.416 * * [misc]simplify: iters left: 6 (14 enodes) 1538300264.418 * * [misc]simplify: iters left: 5 (20 enodes) 1538300264.422 * * [misc]simplify: iters left: 4 (29 enodes) 1538300264.426 * * [misc]simplify: iters left: 3 (30 enodes) 1538300264.431 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300264.431 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300264.432 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300264.432 * * [misc]simplify: iters left: 6 (14 enodes) 1538300264.435 * * [misc]simplify: iters left: 5 (20 enodes) 1538300264.439 * * [misc]simplify: iters left: 4 (29 enodes) 1538300264.443 * * [misc]simplify: iters left: 3 (30 enodes) 1538300264.450 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300264.450 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300264.450 * * * * [misc]progress: [ 123 / 151 ] simplifiying candidate # 1538300264.450 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1538300264.451 * * [misc]simplify: iters left: 6 (13 enodes) 1538300264.453 * * [misc]simplify: iters left: 5 (21 enodes) 1538300264.458 * * [misc]simplify: iters left: 4 (32 enodes) 1538300264.462 * * [misc]simplify: iters left: 3 (33 enodes) 1538300264.467 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1538300264.467 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300264.467 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538300264.468 * * [misc]simplify: iters left: 6 (13 enodes) 1538300264.470 * * [misc]simplify: iters left: 5 (19 enodes) 1538300264.474 * * [misc]simplify: iters left: 4 (28 enodes) 1538300264.478 * * [misc]simplify: iters left: 3 (30 enodes) 1538300264.483 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538300264.484 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300264.484 * * * * [misc]progress: [ 124 / 151 ] simplifiying candidate # 1538300264.484 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300264.484 * * [misc]simplify: iters left: 6 (6 enodes) 1538300264.485 * * [misc]simplify: iters left: 5 (10 enodes) 1538300264.487 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1538300264.487 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300264.488 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300264.489 * * [misc]simplify: iters left: 6 (13 enodes) 1538300264.495 * * [misc]simplify: iters left: 5 (19 enodes) 1538300264.502 * * [misc]simplify: iters left: 4 (28 enodes) 1538300264.511 * * [misc]simplify: iters left: 3 (30 enodes) 1538300264.520 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300264.520 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300264.520 * * * * [misc]progress: [ 125 / 151 ] simplifiying candidate # 1538300264.520 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1538300264.521 * * [misc]simplify: iters left: 4 (5 enodes) 1538300264.522 * * [misc]simplify: iters left: 3 (7 enodes) 1538300264.523 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538300264.523 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300264.523 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300264.524 * * [misc]simplify: iters left: 6 (13 enodes) 1538300264.526 * * [misc]simplify: iters left: 5 (19 enodes) 1538300264.531 * * [misc]simplify: iters left: 4 (28 enodes) 1538300264.536 * * [misc]simplify: iters left: 3 (30 enodes) 1538300264.540 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300264.540 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300264.540 * * * * [misc]progress: [ 126 / 151 ] simplifiying candidate # 1538300264.541 * [enter]simplify: Simplifying (/ 1 1) 1538300264.541 * * [misc]simplify: iters left: 2 (2 enodes) 1538300264.541 * * [misc]simplify: iters left: 1 (4 enodes) 1538300264.542 * [exit]simplify: Simplified to 1 1538300264.542 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300264.542 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538300264.542 * * [misc]simplify: iters left: 6 (12 enodes) 1538300264.545 * * [misc]simplify: iters left: 5 (18 enodes) 1538300264.549 * * [misc]simplify: iters left: 4 (27 enodes) 1538300264.555 * * [misc]simplify: iters left: 3 (29 enodes) 1538300264.564 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1538300264.564 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300264.564 * * * * [misc]progress: [ 127 / 151 ] simplifiying candidate # 1538300264.564 * * * * [misc]progress: [ 128 / 151 ] simplifiying candidate # 1538300264.564 * * * * [misc]progress: [ 129 / 151 ] simplifiying candidate # 1538300264.564 * * * * [misc]progress: [ 130 / 151 ] simplifiying candidate # 1538300264.564 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1538300264.565 * * [misc]simplify: iters left: 2 (3 enodes) 1538300264.566 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1538300264.566 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))) 1538300264.566 * * * * [misc]progress: [ 131 / 151 ] simplifiying candidate # 1538300264.566 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538300264.566 * * [misc]simplify: iters left: 2 (3 enodes) 1538300264.567 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538300264.567 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1538300264.567 * * * * [misc]progress: [ 132 / 151 ] simplifiying candidate # 1538300264.567 * [enter]simplify: Simplifying (sqrt k) 1538300264.568 * * [misc]simplify: iters left: 1 (2 enodes) 1538300264.568 * [exit]simplify: Simplified to (sqrt k) 1538300264.568 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))))) 1538300264.568 * * * * [misc]progress: [ 133 / 151 ] simplifiying candidate # 1538300264.569 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538300264.569 * * [misc]simplify: iters left: 5 (7 enodes) 1538300264.572 * * [misc]simplify: iters left: 4 (12 enodes) 1538300264.576 * * [misc]simplify: iters left: 3 (18 enodes) 1538300264.582 * * [misc]simplify: iters left: 2 (20 enodes) 1538300264.587 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538300264.587 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1538300264.587 * * * * [misc]progress: [ 134 / 151 ] simplifiying candidate # 1538300264.588 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538300264.588 * * [misc]simplify: iters left: 5 (7 enodes) 1538300264.591 * * [misc]simplify: iters left: 4 (12 enodes) 1538300264.595 * * [misc]simplify: iters left: 3 (18 enodes) 1538300264.601 * * [misc]simplify: iters left: 2 (20 enodes) 1538300264.607 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538300264.607 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1538300264.607 * * * * [misc]progress: [ 135 / 151 ] simplifiying candidate # 1538300264.607 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538300264.607 * * [misc]simplify: iters left: 5 (7 enodes) 1538300264.610 * * [misc]simplify: iters left: 4 (9 enodes) 1538300264.613 * * [misc]simplify: iters left: 3 (12 enodes) 1538300264.617 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538300264.617 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538300264.617 * * * * [misc]progress: [ 136 / 151 ] simplifiying candidate # 1538300264.617 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1538300264.618 * * [misc]simplify: iters left: 6 (12 enodes) 1538300264.623 * * [misc]simplify: iters left: 5 (18 enodes) 1538300264.631 * * [misc]simplify: iters left: 4 (27 enodes) 1538300264.639 * * [misc]simplify: iters left: 3 (29 enodes) 1538300264.649 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1538300264.649 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (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))))))))) 1538300264.649 * * * * [misc]progress: [ 137 / 151 ] simplifiying candidate # 1538300264.649 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1538300264.650 * * [misc]simplify: iters left: 6 (11 enodes) 1538300264.655 * * [misc]simplify: iters left: 5 (17 enodes) 1538300264.661 * * [misc]simplify: iters left: 4 (26 enodes) 1538300264.666 * * [misc]simplify: iters left: 3 (27 enodes) 1538300264.671 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1538300264.671 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))) 1538300264.671 * * * * [misc]progress: [ 138 / 151 ] simplifiying candidate # 1538300264.671 * * * * [misc]progress: [ 139 / 151 ] simplifiying candidate # 1538300264.671 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538300264.671 * * [misc]simplify: iters left: 5 (7 enodes) 1538300264.673 * * [misc]simplify: iters left: 4 (12 enodes) 1538300264.676 * * [misc]simplify: iters left: 3 (18 enodes) 1538300264.679 * * [misc]simplify: iters left: 2 (20 enodes) 1538300264.682 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538300264.682 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))))) 1538300264.682 * * * * [misc]progress: [ 140 / 151 ] simplifiying candidate # 1538300264.682 * [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)))))))))))))))))))))) 1538300264.682 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538300264.682 * * * * [misc]progress: [ 141 / 151 ] simplifiying candidate # 1538300264.683 * [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)))))))) 1538300264.683 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538300264.683 * * * * [misc]progress: [ 142 / 151 ] simplifiying candidate # 1538300264.683 * [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))))))))))) 1538300264.683 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538300264.683 * * * * [misc]progress: [ 143 / 151 ] simplifiying candidate # 1538300264.683 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300264.683 * * [misc]simplify: iters left: 4 (5 enodes) 1538300264.684 * * [misc]simplify: iters left: 3 (9 enodes) 1538300264.686 * * [misc]simplify: iters left: 2 (15 enodes) 1538300264.689 * * [misc]simplify: iters left: 1 (17 enodes) 1538300264.692 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300264.692 * [misc]simplify: Simplified (2 2 1 1 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))) (sqrt k))))) 1538300264.692 * * * * [misc]progress: [ 144 / 151 ] simplifiying candidate # 1538300264.692 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300264.692 * * [misc]simplify: iters left: 4 (5 enodes) 1538300264.693 * * [misc]simplify: iters left: 3 (9 enodes) 1538300264.696 * * [misc]simplify: iters left: 2 (15 enodes) 1538300264.698 * * [misc]simplify: iters left: 1 (17 enodes) 1538300264.701 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300264.701 * [misc]simplify: Simplified (2 2 1 1 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))) (sqrt k))))) 1538300264.701 * * * * [misc]progress: [ 145 / 151 ] simplifiying candidate # 1538300264.701 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300264.701 * * [misc]simplify: iters left: 4 (5 enodes) 1538300264.703 * * [misc]simplify: iters left: 3 (9 enodes) 1538300264.705 * * [misc]simplify: iters left: 2 (15 enodes) 1538300264.708 * * [misc]simplify: iters left: 1 (17 enodes) 1538300264.713 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300264.713 * [misc]simplify: Simplified (2 2 1 1 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))) (sqrt k))))) 1538300264.713 * * * * [misc]progress: [ 146 / 151 ] simplifiying candidate # 1538300264.713 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300264.716 * * [misc]simplify: iters left: 4 (5 enodes) 1538300264.718 * * [misc]simplify: iters left: 3 (9 enodes) 1538300264.722 * * [misc]simplify: iters left: 2 (15 enodes) 1538300264.727 * * [misc]simplify: iters left: 1 (17 enodes) 1538300264.732 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300264.732 * [misc]simplify: Simplified (2 1 1 1 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))) (sqrt k))))) 1538300264.732 * * * * [misc]progress: [ 147 / 151 ] simplifiying candidate # 1538300264.733 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300264.733 * * [misc]simplify: iters left: 4 (5 enodes) 1538300264.735 * * [misc]simplify: iters left: 3 (9 enodes) 1538300264.739 * * [misc]simplify: iters left: 2 (15 enodes) 1538300264.744 * * [misc]simplify: iters left: 1 (17 enodes) 1538300264.750 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300264.750 * [misc]simplify: Simplified (2 1 1 1 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))) (sqrt k))))) 1538300264.750 * * * * [misc]progress: [ 148 / 151 ] simplifiying candidate # 1538300264.750 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300264.751 * * [misc]simplify: iters left: 4 (5 enodes) 1538300264.754 * * [misc]simplify: iters left: 3 (9 enodes) 1538300264.758 * * [misc]simplify: iters left: 2 (15 enodes) 1538300264.761 * * [misc]simplify: iters left: 1 (17 enodes) 1538300264.764 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300264.764 * [misc]simplify: Simplified (2 1 1 1 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))) (sqrt k))))) 1538300264.764 * * * * [misc]progress: [ 149 / 151 ] simplifiying candidate # 1538300264.764 * [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)))))))))))))))))))))) 1538300264.764 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt +nan.0))) 1538300264.764 * * * * [misc]progress: [ 150 / 151 ] simplifiying candidate # 1538300264.764 * [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)))))))) 1538300264.764 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt +nan.0))) 1538300264.764 * * * * [misc]progress: [ 151 / 151 ] simplifiying candidate # 1538300264.765 * [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))))))))))) 1538300264.765 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt +nan.0))) 1538300264.765 * * * [misc]progress: adding candidates to table 1538300268.866 * * [misc]progress: iteration 3 / 4 1538300268.866 * * * [misc]progress: picking best candidate 1538300268.981 * * * * [misc]pick: Picked # 1538300268.981 * * * [misc]progress: localizing error 1538300269.037 * * * [misc]progress: generating rewritten candidates 1538300269.037 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 1) 1538300269.060 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 1) 1538300269.075 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) 1538300269.126 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1538300269.166 * * * [misc]progress: generating series expansions 1538300269.166 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 1) 1538300269.166 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1538300269.166 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1538300269.167 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538300269.167 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538300269.167 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538300269.167 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300269.167 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.167 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300269.167 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.167 * [misc]taylor: Taking taylor expansion of k in k 1538300269.167 * [misc]backup-simplify: Simplify 0 into 0 1538300269.167 * [misc]backup-simplify: Simplify 1 into 1 1538300269.167 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300269.167 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.167 * [misc]backup-simplify: Simplify PI into PI 1538300269.167 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300269.167 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300269.167 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.168 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.168 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300269.168 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538300269.168 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538300269.169 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538300269.169 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538300269.169 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300269.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.169 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300269.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.169 * [misc]taylor: Taking taylor expansion of k in k 1538300269.169 * [misc]backup-simplify: Simplify 0 into 0 1538300269.169 * [misc]backup-simplify: Simplify 1 into 1 1538300269.169 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300269.169 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.169 * [misc]backup-simplify: Simplify PI into PI 1538300269.169 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300269.169 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300269.169 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.169 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.170 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300269.170 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538300269.171 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1538300269.172 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538300269.172 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300269.173 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300269.173 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300269.173 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538300269.176 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538300269.177 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1538300269.182 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538300269.182 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300269.183 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.183 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.184 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538300269.190 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538300269.192 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538300269.195 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1538300269.195 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300269.195 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1538300269.195 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300269.195 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538300269.195 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538300269.195 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300269.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.195 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.195 * [misc]taylor: Taking taylor expansion of k in k 1538300269.195 * [misc]backup-simplify: Simplify 0 into 0 1538300269.195 * [misc]backup-simplify: Simplify 1 into 1 1538300269.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.195 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300269.195 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.195 * [misc]backup-simplify: Simplify PI into PI 1538300269.196 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300269.196 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.196 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300269.196 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300269.196 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538300269.197 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300269.197 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300269.197 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538300269.197 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538300269.197 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300269.197 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.197 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.197 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.197 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.197 * [misc]taylor: Taking taylor expansion of k in k 1538300269.197 * [misc]backup-simplify: Simplify 0 into 0 1538300269.197 * [misc]backup-simplify: Simplify 1 into 1 1538300269.197 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.197 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300269.197 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.197 * [misc]backup-simplify: Simplify PI into PI 1538300269.197 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300269.197 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.198 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300269.198 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300269.198 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538300269.198 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300269.198 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300269.199 * [misc]backup-simplify: Simplify 0 into 0 1538300269.199 * [misc]backup-simplify: Simplify 0 into 0 1538300269.199 * [misc]backup-simplify: Simplify 0 into 0 1538300269.199 * [misc]backup-simplify: Simplify 0 into 0 1538300269.199 * [misc]backup-simplify: Simplify 0 into 0 1538300269.199 * [misc]backup-simplify: Simplify 0 into 0 1538300269.199 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1538300269.199 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300269.199 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1538300269.199 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300269.199 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538300269.199 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538300269.199 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300269.199 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.199 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.199 * [misc]taylor: Taking taylor expansion of k in k 1538300269.199 * [misc]backup-simplify: Simplify 0 into 0 1538300269.199 * [misc]backup-simplify: Simplify 1 into 1 1538300269.199 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.199 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300269.199 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.199 * [misc]backup-simplify: Simplify PI into PI 1538300269.200 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300269.200 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.200 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.200 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300269.200 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300269.200 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300269.200 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538300269.200 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538300269.200 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300269.200 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.200 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.201 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.201 * [misc]taylor: Taking taylor expansion of k in k 1538300269.201 * [misc]backup-simplify: Simplify 0 into 0 1538300269.201 * [misc]backup-simplify: Simplify 1 into 1 1538300269.201 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.201 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300269.201 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.201 * [misc]backup-simplify: Simplify PI into PI 1538300269.201 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300269.201 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.201 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.202 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300269.202 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300269.202 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300269.202 * [misc]backup-simplify: Simplify 0 into 0 1538300269.202 * [misc]backup-simplify: Simplify 0 into 0 1538300269.202 * [misc]backup-simplify: Simplify 0 into 0 1538300269.202 * [misc]backup-simplify: Simplify 0 into 0 1538300269.202 * [misc]backup-simplify: Simplify 0 into 0 1538300269.202 * [misc]backup-simplify: Simplify 0 into 0 1538300269.202 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1538300269.202 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 1) 1538300269.202 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1538300269.202 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1538300269.202 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300269.203 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.203 * [misc]backup-simplify: Simplify 2 into 2 1538300269.203 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300269.203 * [misc]taylor: Taking taylor expansion of n in n 1538300269.203 * [misc]backup-simplify: Simplify 0 into 0 1538300269.203 * [misc]backup-simplify: Simplify 1 into 1 1538300269.203 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.203 * [misc]backup-simplify: Simplify PI into PI 1538300269.203 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300269.203 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.203 * [misc]backup-simplify: Simplify 2 into 2 1538300269.203 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300269.203 * [misc]taylor: Taking taylor expansion of n in n 1538300269.203 * [misc]backup-simplify: Simplify 0 into 0 1538300269.203 * [misc]backup-simplify: Simplify 1 into 1 1538300269.203 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.203 * [misc]backup-simplify: Simplify PI into PI 1538300269.203 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300269.203 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300269.203 * [misc]backup-simplify: Simplify 0 into 0 1538300269.204 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300269.204 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300269.204 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300269.205 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538300269.206 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538300269.206 * [misc]backup-simplify: Simplify 0 into 0 1538300269.207 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300269.208 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538300269.208 * [misc]backup-simplify: Simplify 0 into 0 1538300269.209 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300269.210 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538300269.210 * [misc]backup-simplify: Simplify 0 into 0 1538300269.212 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300269.214 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1538300269.214 * [misc]backup-simplify: Simplify 0 into 0 1538300269.216 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300269.218 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1538300269.218 * [misc]backup-simplify: Simplify 0 into 0 1538300269.220 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1538300269.223 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1538300269.223 * [misc]backup-simplify: Simplify 0 into 0 1538300269.223 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1538300269.223 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1538300269.223 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1538300269.223 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300269.223 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.223 * [misc]backup-simplify: Simplify 2 into 2 1538300269.223 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300269.223 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.223 * [misc]backup-simplify: Simplify PI into PI 1538300269.223 * [misc]taylor: Taking taylor expansion of n in n 1538300269.223 * [misc]backup-simplify: Simplify 0 into 0 1538300269.223 * [misc]backup-simplify: Simplify 1 into 1 1538300269.223 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300269.223 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300269.223 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.223 * [misc]backup-simplify: Simplify 2 into 2 1538300269.223 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300269.223 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.223 * [misc]backup-simplify: Simplify PI into PI 1538300269.223 * [misc]taylor: Taking taylor expansion of n in n 1538300269.223 * [misc]backup-simplify: Simplify 0 into 0 1538300269.223 * [misc]backup-simplify: Simplify 1 into 1 1538300269.224 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300269.224 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300269.224 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300269.225 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300269.225 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300269.225 * [misc]backup-simplify: Simplify 0 into 0 1538300269.226 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.227 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300269.227 * [misc]backup-simplify: Simplify 0 into 0 1538300269.228 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.230 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300269.230 * [misc]backup-simplify: Simplify 0 into 0 1538300269.232 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.234 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300269.234 * [misc]backup-simplify: Simplify 0 into 0 1538300269.236 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.239 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300269.239 * [misc]backup-simplify: Simplify 0 into 0 1538300269.242 * [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 1538300269.246 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300269.246 * [misc]backup-simplify: Simplify 0 into 0 1538300269.246 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1538300269.247 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1538300269.247 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1538300269.247 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300269.247 * [misc]taylor: Taking taylor expansion of -2 in n 1538300269.247 * [misc]backup-simplify: Simplify -2 into -2 1538300269.247 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300269.247 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.247 * [misc]backup-simplify: Simplify PI into PI 1538300269.247 * [misc]taylor: Taking taylor expansion of n in n 1538300269.247 * [misc]backup-simplify: Simplify 0 into 0 1538300269.247 * [misc]backup-simplify: Simplify 1 into 1 1538300269.248 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300269.248 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300269.248 * [misc]taylor: Taking taylor expansion of -2 in n 1538300269.248 * [misc]backup-simplify: Simplify -2 into -2 1538300269.248 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300269.248 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.248 * [misc]backup-simplify: Simplify PI into PI 1538300269.248 * [misc]taylor: Taking taylor expansion of n in n 1538300269.248 * [misc]backup-simplify: Simplify 0 into 0 1538300269.248 * [misc]backup-simplify: Simplify 1 into 1 1538300269.248 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300269.249 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300269.249 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300269.250 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300269.251 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538300269.251 * [misc]backup-simplify: Simplify 0 into 0 1538300269.252 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.254 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300269.254 * [misc]backup-simplify: Simplify 0 into 0 1538300269.255 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.257 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300269.257 * [misc]backup-simplify: Simplify 0 into 0 1538300269.259 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.261 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300269.262 * [misc]backup-simplify: Simplify 0 into 0 1538300269.264 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.267 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538300269.267 * [misc]backup-simplify: Simplify 0 into 0 1538300269.270 * [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 1538300269.274 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538300269.274 * [misc]backup-simplify: Simplify 0 into 0 1538300269.274 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1538300269.274 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) 1538300269.275 * [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)))) 1538300269.275 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1538300269.275 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1538300269.275 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300269.275 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.275 * [misc]taylor: Taking taylor expansion of k in k 1538300269.275 * [misc]backup-simplify: Simplify 0 into 0 1538300269.275 * [misc]backup-simplify: Simplify 1 into 1 1538300269.275 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.275 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.276 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300269.276 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538300269.276 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538300269.276 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538300269.276 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300269.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.276 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300269.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.276 * [misc]taylor: Taking taylor expansion of k in k 1538300269.276 * [misc]backup-simplify: Simplify 0 into 0 1538300269.276 * [misc]backup-simplify: Simplify 1 into 1 1538300269.276 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538300269.276 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538300269.276 * [misc]taylor: Taking taylor expansion of 2 in k 1538300269.276 * [misc]backup-simplify: Simplify 2 into 2 1538300269.276 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538300269.276 * [misc]taylor: Taking taylor expansion of n in k 1538300269.276 * [misc]backup-simplify: Simplify n into n 1538300269.276 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.276 * [misc]backup-simplify: Simplify PI into PI 1538300269.277 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538300269.277 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538300269.277 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538300269.277 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300269.277 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.277 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.278 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538300269.278 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538300269.278 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538300269.278 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300269.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.278 * [misc]taylor: Taking taylor expansion of k in n 1538300269.278 * [misc]backup-simplify: Simplify k into k 1538300269.278 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.278 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300269.278 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300269.278 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300269.278 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300269.278 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300269.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300269.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300269.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.279 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300269.279 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.279 * [misc]taylor: Taking taylor expansion of k in n 1538300269.279 * [misc]backup-simplify: Simplify k into k 1538300269.279 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300269.279 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300269.279 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.279 * [misc]backup-simplify: Simplify 2 into 2 1538300269.279 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300269.279 * [misc]taylor: Taking taylor expansion of n in n 1538300269.279 * [misc]backup-simplify: Simplify 0 into 0 1538300269.279 * [misc]backup-simplify: Simplify 1 into 1 1538300269.279 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.279 * [misc]backup-simplify: Simplify PI into PI 1538300269.279 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300269.279 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300269.280 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300269.281 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300269.281 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300269.282 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300269.282 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300269.282 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300269.282 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300269.283 * [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)))) 1538300269.287 * [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))))) 1538300269.287 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538300269.287 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300269.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.287 * [misc]taylor: Taking taylor expansion of k in n 1538300269.287 * [misc]backup-simplify: Simplify k into k 1538300269.287 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.287 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300269.287 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300269.287 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300269.287 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538300269.288 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538300269.288 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538300269.288 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300269.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.288 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300269.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.288 * [misc]taylor: Taking taylor expansion of k in n 1538300269.288 * [misc]backup-simplify: Simplify k into k 1538300269.288 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538300269.288 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538300269.288 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.288 * [misc]backup-simplify: Simplify 2 into 2 1538300269.288 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538300269.288 * [misc]taylor: Taking taylor expansion of n in n 1538300269.288 * [misc]backup-simplify: Simplify 0 into 0 1538300269.288 * [misc]backup-simplify: Simplify 1 into 1 1538300269.288 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.288 * [misc]backup-simplify: Simplify PI into PI 1538300269.289 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538300269.289 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300269.289 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538300269.290 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538300269.291 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300269.291 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300269.291 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300269.291 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300269.292 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300269.292 * [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)))) 1538300269.293 * [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))))) 1538300269.295 * [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))) 1538300269.295 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1538300269.295 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538300269.295 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538300269.295 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300269.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.295 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300269.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.295 * [misc]taylor: Taking taylor expansion of k in k 1538300269.295 * [misc]backup-simplify: Simplify 0 into 0 1538300269.295 * [misc]backup-simplify: Simplify 1 into 1 1538300269.295 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538300269.295 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300269.295 * [misc]taylor: Taking taylor expansion of n in k 1538300269.295 * [misc]backup-simplify: Simplify n into n 1538300269.295 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300269.295 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300269.295 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300269.295 * [misc]taylor: Taking taylor expansion of 2 in k 1538300269.295 * [misc]backup-simplify: Simplify 2 into 2 1538300269.295 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.296 * [misc]backup-simplify: Simplify PI into PI 1538300269.296 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300269.296 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300269.297 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300269.297 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.297 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.297 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300269.298 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538300269.299 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538300269.299 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300269.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.299 * [misc]taylor: Taking taylor expansion of k in k 1538300269.299 * [misc]backup-simplify: Simplify 0 into 0 1538300269.299 * [misc]backup-simplify: Simplify 1 into 1 1538300269.299 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.299 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.300 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300269.300 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1538300269.300 * [misc]backup-simplify: Simplify 0 into 0 1538300269.302 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538300269.303 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538300269.306 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300269.306 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538300269.306 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.307 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300269.308 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538300269.310 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300269.311 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1538300269.311 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.311 * [misc]backup-simplify: Simplify 0 into 0 1538300269.312 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538300269.313 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300269.316 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300269.316 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.316 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300269.316 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300269.317 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300269.317 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538300269.319 * [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))))))) 1538300269.322 * [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))))))) 1538300269.323 * [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))))))) 1538300269.325 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300269.327 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538300269.333 * [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 1538300269.333 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538300269.333 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.333 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.334 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300269.335 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300269.338 * [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 1538300269.338 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.339 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1538300269.340 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1538300269.340 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.340 * [misc]backup-simplify: Simplify 0 into 0 1538300269.340 * [misc]backup-simplify: Simplify 0 into 0 1538300269.340 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538300269.341 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300269.343 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538300269.344 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300269.351 * [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 1538300269.351 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.352 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300269.352 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.352 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.353 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538300269.357 * [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))))) 1538300269.364 * [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)))))))) 1538300269.368 * [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)))))))) 1538300269.371 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538300269.373 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538300269.383 * [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 1538300269.383 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538300269.383 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.384 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.384 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538300269.386 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538300269.390 * [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 1538300269.390 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.390 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1538300269.392 * [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 1538300269.392 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.392 * [misc]backup-simplify: Simplify 0 into 0 1538300269.392 * [misc]backup-simplify: Simplify 0 into 0 1538300269.392 * [misc]backup-simplify: Simplify 0 into 0 1538300269.392 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.394 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300269.397 * [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 1538300269.399 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300269.409 * [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 1538300269.409 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.410 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538300269.410 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.410 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.411 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538300269.419 * [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))))))) 1538300269.440 * [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)))))))))))))) 1538300269.453 * [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)))))))))))))) 1538300269.474 * [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)))))))))))))))))))))) 1538300269.474 * [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))))) 1538300269.475 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1538300269.475 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538300269.475 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300269.475 * [misc]taylor: Taking taylor expansion of k in k 1538300269.475 * [misc]backup-simplify: Simplify 0 into 0 1538300269.475 * [misc]backup-simplify: Simplify 1 into 1 1538300269.475 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.475 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300269.475 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300269.476 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538300269.476 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538300269.476 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300269.476 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.476 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.476 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.476 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.476 * [misc]taylor: Taking taylor expansion of k in k 1538300269.476 * [misc]backup-simplify: Simplify 0 into 0 1538300269.476 * [misc]backup-simplify: Simplify 1 into 1 1538300269.476 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.476 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538300269.476 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538300269.476 * [misc]taylor: Taking taylor expansion of 2 in k 1538300269.476 * [misc]backup-simplify: Simplify 2 into 2 1538300269.476 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300269.476 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.476 * [misc]backup-simplify: Simplify PI into PI 1538300269.476 * [misc]taylor: Taking taylor expansion of n in k 1538300269.476 * [misc]backup-simplify: Simplify n into n 1538300269.476 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300269.477 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538300269.477 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538300269.477 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.477 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300269.477 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300269.478 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538300269.478 * [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)))) 1538300269.478 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300269.478 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300269.478 * [misc]taylor: Taking taylor expansion of k in n 1538300269.478 * [misc]backup-simplify: Simplify k into k 1538300269.478 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300269.478 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300269.478 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300269.478 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300269.478 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300269.478 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300269.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.478 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300269.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.478 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.478 * [misc]taylor: Taking taylor expansion of k in n 1538300269.479 * [misc]backup-simplify: Simplify k into k 1538300269.479 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.479 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300269.479 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300269.479 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.479 * [misc]backup-simplify: Simplify 2 into 2 1538300269.479 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300269.479 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.479 * [misc]backup-simplify: Simplify PI into PI 1538300269.479 * [misc]taylor: Taking taylor expansion of n in n 1538300269.479 * [misc]backup-simplify: Simplify 0 into 0 1538300269.479 * [misc]backup-simplify: Simplify 1 into 1 1538300269.479 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300269.480 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300269.480 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300269.480 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300269.480 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300269.481 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300269.482 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300269.482 * [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))) 1538300269.483 * [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)))) 1538300269.483 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300269.483 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300269.483 * [misc]taylor: Taking taylor expansion of k in n 1538300269.483 * [misc]backup-simplify: Simplify k into k 1538300269.483 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300269.483 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300269.483 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300269.483 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538300269.483 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538300269.484 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300269.484 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.484 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300269.484 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.484 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.484 * [misc]taylor: Taking taylor expansion of k in n 1538300269.484 * [misc]backup-simplify: Simplify k into k 1538300269.484 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.484 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538300269.484 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538300269.484 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.484 * [misc]backup-simplify: Simplify 2 into 2 1538300269.484 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300269.484 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.484 * [misc]backup-simplify: Simplify PI into PI 1538300269.484 * [misc]taylor: Taking taylor expansion of n in n 1538300269.484 * [misc]backup-simplify: Simplify 0 into 0 1538300269.484 * [misc]backup-simplify: Simplify 1 into 1 1538300269.484 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300269.485 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300269.485 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300269.485 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300269.486 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300269.486 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300269.486 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300269.487 * [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))) 1538300269.488 * [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)))) 1538300269.489 * [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)) 1538300269.489 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1538300269.489 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538300269.489 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538300269.489 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300269.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.489 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.489 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.489 * [misc]taylor: Taking taylor expansion of k in k 1538300269.489 * [misc]backup-simplify: Simplify 0 into 0 1538300269.489 * [misc]backup-simplify: Simplify 1 into 1 1538300269.490 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.490 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538300269.490 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538300269.490 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538300269.490 * [misc]taylor: Taking taylor expansion of 2 in k 1538300269.490 * [misc]backup-simplify: Simplify 2 into 2 1538300269.490 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.490 * [misc]backup-simplify: Simplify PI into PI 1538300269.490 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538300269.491 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538300269.491 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300269.491 * [misc]taylor: Taking taylor expansion of n in k 1538300269.491 * [misc]backup-simplify: Simplify n into n 1538300269.491 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300269.491 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.491 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300269.491 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300269.491 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300269.492 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538300269.493 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538300269.493 * [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)))) 1538300269.493 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300269.493 * [misc]taylor: Taking taylor expansion of k in k 1538300269.493 * [misc]backup-simplify: Simplify 0 into 0 1538300269.493 * [misc]backup-simplify: Simplify 1 into 1 1538300269.494 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.494 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300269.495 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1538300269.495 * [misc]backup-simplify: Simplify 0 into 0 1538300269.496 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300269.497 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538300269.500 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538300269.500 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300269.500 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300269.501 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.501 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.501 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300269.502 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538300269.504 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300269.505 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1538300269.505 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.505 * [misc]backup-simplify: Simplify 0 into 0 1538300269.505 * [misc]backup-simplify: Simplify 0 into 0 1538300269.506 * [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)))))) 1538300269.507 * [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)))))) 1538300269.508 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.510 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300269.516 * [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 1538300269.516 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.517 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300269.517 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.517 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.518 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300269.519 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538300269.521 * [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 1538300269.522 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1538300269.523 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1538300269.523 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.523 * [misc]backup-simplify: Simplify 0 into 0 1538300269.523 * [misc]backup-simplify: Simplify 0 into 0 1538300269.523 * [misc]backup-simplify: Simplify 0 into 0 1538300269.524 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300269.526 * [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)))))) 1538300269.527 * [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)))))) 1538300269.529 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.531 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538300269.539 * [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 1538300269.539 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.539 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538300269.539 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.539 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538300269.541 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538300269.543 * [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 1538300269.543 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1538300269.544 * [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 1538300269.544 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.544 * [misc]backup-simplify: Simplify 0 into 0 1538300269.544 * [misc]backup-simplify: Simplify 0 into 0 1538300269.544 * [misc]backup-simplify: Simplify 0 into 0 1538300269.544 * [misc]backup-simplify: Simplify 0 into 0 1538300269.545 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300269.545 * [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)))))) 1538300269.546 * [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)))))) 1538300269.548 * [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)))))))) 1538300269.548 * [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))) 1538300269.548 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1538300269.548 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1538300269.548 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300269.548 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538300269.548 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538300269.548 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300269.548 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.549 * [misc]taylor: Taking taylor expansion of k in k 1538300269.549 * [misc]backup-simplify: Simplify 0 into 0 1538300269.549 * [misc]backup-simplify: Simplify 1 into 1 1538300269.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.549 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538300269.549 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538300269.549 * [misc]taylor: Taking taylor expansion of -2 in k 1538300269.549 * [misc]backup-simplify: Simplify -2 into -2 1538300269.549 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538300269.549 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.549 * [misc]backup-simplify: Simplify PI into PI 1538300269.549 * [misc]taylor: Taking taylor expansion of n in k 1538300269.549 * [misc]backup-simplify: Simplify n into n 1538300269.549 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538300269.549 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538300269.549 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538300269.549 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.549 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.549 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538300269.550 * [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))) 1538300269.550 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300269.550 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300269.550 * [misc]taylor: Taking taylor expansion of -1 in k 1538300269.550 * [misc]backup-simplify: Simplify -1 into -1 1538300269.550 * [misc]taylor: Taking taylor expansion of k in k 1538300269.550 * [misc]backup-simplify: Simplify 0 into 0 1538300269.550 * [misc]backup-simplify: Simplify 1 into 1 1538300269.550 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300269.550 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.550 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300269.551 * [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)))) 1538300269.551 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.551 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of k in n 1538300269.551 * [misc]backup-simplify: Simplify k into k 1538300269.551 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.551 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of -2 in n 1538300269.551 * [misc]backup-simplify: Simplify -2 into -2 1538300269.551 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300269.551 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.551 * [misc]backup-simplify: Simplify PI into PI 1538300269.551 * [misc]taylor: Taking taylor expansion of n in n 1538300269.551 * [misc]backup-simplify: Simplify 0 into 0 1538300269.551 * [misc]backup-simplify: Simplify 1 into 1 1538300269.551 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300269.551 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300269.552 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300269.552 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300269.552 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300269.552 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300269.553 * [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))) 1538300269.553 * [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)))) 1538300269.553 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300269.553 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300269.553 * [misc]taylor: Taking taylor expansion of -1 in n 1538300269.553 * [misc]backup-simplify: Simplify -1 into -1 1538300269.553 * [misc]taylor: Taking taylor expansion of k in n 1538300269.553 * [misc]backup-simplify: Simplify k into k 1538300269.553 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300269.554 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300269.554 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300269.554 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300269.554 * [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))) 1538300269.554 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300269.554 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300269.554 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538300269.554 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538300269.554 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300269.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300269.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.554 * [misc]taylor: Taking taylor expansion of k in n 1538300269.554 * [misc]backup-simplify: Simplify k into k 1538300269.554 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.554 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538300269.554 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538300269.554 * [misc]taylor: Taking taylor expansion of -2 in n 1538300269.555 * [misc]backup-simplify: Simplify -2 into -2 1538300269.555 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538300269.555 * [misc]taylor: Taking taylor expansion of PI in n 1538300269.555 * [misc]backup-simplify: Simplify PI into PI 1538300269.555 * [misc]taylor: Taking taylor expansion of n in n 1538300269.555 * [misc]backup-simplify: Simplify 0 into 0 1538300269.555 * [misc]backup-simplify: Simplify 1 into 1 1538300269.555 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538300269.555 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300269.555 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300269.555 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300269.555 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300269.556 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300269.556 * [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))) 1538300269.557 * [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)))) 1538300269.557 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300269.557 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300269.557 * [misc]taylor: Taking taylor expansion of -1 in n 1538300269.557 * [misc]backup-simplify: Simplify -1 into -1 1538300269.557 * [misc]taylor: Taking taylor expansion of k in n 1538300269.557 * [misc]backup-simplify: Simplify k into k 1538300269.557 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300269.557 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300269.557 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300269.557 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300269.558 * [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))) 1538300269.558 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1538300269.558 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538300269.558 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538300269.558 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300269.558 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.558 * [misc]taylor: Taking taylor expansion of k in k 1538300269.558 * [misc]backup-simplify: Simplify 0 into 0 1538300269.558 * [misc]backup-simplify: Simplify 1 into 1 1538300269.558 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.558 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538300269.558 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538300269.558 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538300269.558 * [misc]taylor: Taking taylor expansion of -2 in k 1538300269.558 * [misc]backup-simplify: Simplify -2 into -2 1538300269.558 * [misc]taylor: Taking taylor expansion of PI in k 1538300269.558 * [misc]backup-simplify: Simplify PI into PI 1538300269.559 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538300269.559 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538300269.559 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300269.559 * [misc]taylor: Taking taylor expansion of n in k 1538300269.559 * [misc]backup-simplify: Simplify n into n 1538300269.559 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300269.559 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.559 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.559 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300269.560 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538300269.560 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538300269.561 * [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)))) 1538300269.561 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300269.561 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300269.561 * [misc]taylor: Taking taylor expansion of -1 in k 1538300269.561 * [misc]backup-simplify: Simplify -1 into -1 1538300269.561 * [misc]taylor: Taking taylor expansion of k in k 1538300269.561 * [misc]backup-simplify: Simplify 0 into 0 1538300269.561 * [misc]backup-simplify: Simplify 1 into 1 1538300269.561 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300269.561 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.561 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300269.562 * [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))))) 1538300269.562 * [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))))) 1538300269.563 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538300269.564 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538300269.566 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538300269.566 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300269.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300269.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.566 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300269.567 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538300269.568 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300269.570 * [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 1538300269.570 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.570 * [misc]backup-simplify: Simplify 0 into 0 1538300269.570 * [misc]backup-simplify: Simplify 0 into 0 1538300269.570 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538300269.571 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300269.572 * [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)))))) 1538300269.572 * [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)))))) 1538300269.573 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.574 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538300269.578 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1538300269.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300269.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538300269.580 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538300269.581 * [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 1538300269.581 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.582 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1538300269.582 * [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 1538300269.582 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.582 * [misc]backup-simplify: Simplify 0 into 0 1538300269.582 * [misc]backup-simplify: Simplify 0 into 0 1538300269.583 * [misc]backup-simplify: Simplify 0 into 0 1538300269.583 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.584 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300269.585 * [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)))))) 1538300269.586 * [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)))))) 1538300269.587 * [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))))))))))) 1538300269.588 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1538300269.588 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1538300269.588 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1538300269.588 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1538300269.588 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538300269.588 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538300269.588 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538300269.588 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300269.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.588 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300269.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.588 * [misc]taylor: Taking taylor expansion of k in k 1538300269.588 * [misc]backup-simplify: Simplify 0 into 0 1538300269.588 * [misc]backup-simplify: Simplify 1 into 1 1538300269.588 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538300269.588 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538300269.588 * [misc]taylor: Taking taylor expansion of 2 in k 1538300269.588 * [misc]backup-simplify: Simplify 2 into 2 1538300269.588 * [misc]taylor: Taking taylor expansion of n in k 1538300269.588 * [misc]backup-simplify: Simplify n into n 1538300269.588 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538300269.588 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538300269.589 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300269.589 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.589 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.589 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538300269.589 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538300269.589 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300269.589 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.589 * [misc]taylor: Taking taylor expansion of k in k 1538300269.589 * [misc]backup-simplify: Simplify 0 into 0 1538300269.589 * [misc]backup-simplify: Simplify 1 into 1 1538300269.589 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.589 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.589 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300269.589 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1538300269.589 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538300269.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538300269.590 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538300269.590 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300269.590 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.590 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.590 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300269.590 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.590 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.590 * [misc]taylor: Taking taylor expansion of k in n 1538300269.590 * [misc]backup-simplify: Simplify k into k 1538300269.590 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538300269.590 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538300269.590 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.590 * [misc]backup-simplify: Simplify 2 into 2 1538300269.590 * [misc]taylor: Taking taylor expansion of n in n 1538300269.590 * [misc]backup-simplify: Simplify 0 into 0 1538300269.590 * [misc]backup-simplify: Simplify 1 into 1 1538300269.590 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300269.590 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538300269.590 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300269.590 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300269.590 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300269.590 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300269.590 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300269.591 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538300269.591 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538300269.591 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of k in n 1538300269.591 * [misc]backup-simplify: Simplify k into k 1538300269.591 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.591 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300269.591 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300269.591 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300269.591 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.591 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.591 * [misc]taylor: Taking taylor expansion of k in n 1538300269.591 * [misc]backup-simplify: Simplify k into k 1538300269.591 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538300269.591 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.591 * [misc]backup-simplify: Simplify 2 into 2 1538300269.591 * [misc]taylor: Taking taylor expansion of n in n 1538300269.591 * [misc]backup-simplify: Simplify 0 into 0 1538300269.592 * [misc]backup-simplify: Simplify 1 into 1 1538300269.592 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300269.592 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538300269.592 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300269.592 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300269.592 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300269.592 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300269.592 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300269.592 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538300269.593 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538300269.593 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300269.593 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.593 * [misc]taylor: Taking taylor expansion of k in n 1538300269.593 * [misc]backup-simplify: Simplify k into k 1538300269.593 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.593 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300269.593 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300269.593 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300269.593 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1538300269.593 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538300269.593 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1538300269.593 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1538300269.593 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538300269.593 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538300269.593 * [misc]taylor: Taking taylor expansion of 2 in k 1538300269.593 * [misc]backup-simplify: Simplify 2 into 2 1538300269.593 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300269.593 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300269.593 * [misc]taylor: Taking taylor expansion of n in k 1538300269.594 * [misc]backup-simplify: Simplify n into n 1538300269.594 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300269.594 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300269.594 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.594 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300269.594 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.594 * [misc]taylor: Taking taylor expansion of k in k 1538300269.594 * [misc]backup-simplify: Simplify 0 into 0 1538300269.594 * [misc]backup-simplify: Simplify 1 into 1 1538300269.594 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538300269.594 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300269.594 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.594 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.594 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1538300269.594 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538300269.594 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300269.594 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.594 * [misc]taylor: Taking taylor expansion of k in k 1538300269.595 * [misc]backup-simplify: Simplify 0 into 0 1538300269.595 * [misc]backup-simplify: Simplify 1 into 1 1538300269.595 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.595 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.595 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300269.595 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1538300269.595 * [misc]backup-simplify: Simplify 0 into 0 1538300269.595 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538300269.597 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538300269.597 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538300269.597 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.597 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.598 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300269.598 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538300269.599 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300269.599 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1538300269.599 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.599 * [misc]backup-simplify: Simplify 0 into 0 1538300269.599 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300269.599 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300269.599 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300269.601 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538300269.601 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538300269.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.602 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538300269.602 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1538300269.603 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1538300269.603 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1538300269.603 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.604 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1538300269.604 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538300269.607 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538300269.607 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538300269.607 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.607 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.607 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300269.608 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538300269.609 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538300269.610 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1538300269.610 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.610 * [misc]backup-simplify: Simplify 0 into 0 1538300269.610 * [misc]backup-simplify: Simplify 0 into 0 1538300269.610 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538300269.611 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300269.612 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300269.612 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.612 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.617 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538300269.619 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538300269.619 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.619 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1538300269.622 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1538300269.626 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1538300269.628 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1538300269.628 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.628 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1538300269.629 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538300269.637 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538300269.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538300269.638 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.638 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300269.639 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1538300269.642 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538300269.643 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1538300269.643 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.643 * [misc]backup-simplify: Simplify 0 into 0 1538300269.643 * [misc]backup-simplify: Simplify 0 into 0 1538300269.643 * [misc]backup-simplify: Simplify 0 into 0 1538300269.644 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.645 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300269.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538300269.646 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.653 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538300269.657 * [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 1538300269.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.657 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1538300269.662 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1538300269.674 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1538300269.685 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1538300269.703 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1538300269.704 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1538300269.704 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1538300269.704 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1538300269.704 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300269.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538300269.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538300269.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300269.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.704 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.704 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.704 * [misc]taylor: Taking taylor expansion of k in k 1538300269.704 * [misc]backup-simplify: Simplify 0 into 0 1538300269.704 * [misc]backup-simplify: Simplify 1 into 1 1538300269.704 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.704 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538300269.704 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538300269.704 * [misc]taylor: Taking taylor expansion of 2 in k 1538300269.704 * [misc]backup-simplify: Simplify 2 into 2 1538300269.704 * [misc]taylor: Taking taylor expansion of n in k 1538300269.704 * [misc]backup-simplify: Simplify n into n 1538300269.705 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538300269.705 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538300269.705 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.705 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300269.705 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300269.705 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538300269.705 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538300269.705 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300269.705 * [misc]taylor: Taking taylor expansion of k in k 1538300269.705 * [misc]backup-simplify: Simplify 0 into 0 1538300269.705 * [misc]backup-simplify: Simplify 1 into 1 1538300269.706 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.706 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300269.706 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1538300269.706 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300269.706 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538300269.706 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538300269.706 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300269.706 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.706 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300269.706 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.706 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.707 * [misc]taylor: Taking taylor expansion of k in n 1538300269.707 * [misc]backup-simplify: Simplify k into k 1538300269.707 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.707 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538300269.707 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538300269.707 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.707 * [misc]backup-simplify: Simplify 2 into 2 1538300269.707 * [misc]taylor: Taking taylor expansion of n in n 1538300269.707 * [misc]backup-simplify: Simplify 0 into 0 1538300269.707 * [misc]backup-simplify: Simplify 1 into 1 1538300269.707 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538300269.707 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300269.707 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300269.707 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300269.707 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300269.708 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300269.708 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538300269.708 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300269.708 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300269.708 * [misc]taylor: Taking taylor expansion of k in n 1538300269.708 * [misc]backup-simplify: Simplify k into k 1538300269.708 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300269.709 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300269.709 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1538300269.709 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300269.709 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538300269.709 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538300269.709 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300269.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.709 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300269.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.709 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.709 * [misc]taylor: Taking taylor expansion of k in n 1538300269.709 * [misc]backup-simplify: Simplify k into k 1538300269.709 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.709 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538300269.709 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538300269.709 * [misc]taylor: Taking taylor expansion of 2 in n 1538300269.709 * [misc]backup-simplify: Simplify 2 into 2 1538300269.709 * [misc]taylor: Taking taylor expansion of n in n 1538300269.709 * [misc]backup-simplify: Simplify 0 into 0 1538300269.709 * [misc]backup-simplify: Simplify 1 into 1 1538300269.709 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538300269.709 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300269.709 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300269.709 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300269.710 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300269.710 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300269.710 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538300269.710 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300269.711 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300269.711 * [misc]taylor: Taking taylor expansion of k in n 1538300269.711 * [misc]backup-simplify: Simplify k into k 1538300269.711 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300269.711 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300269.711 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538300269.711 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1538300269.711 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300269.711 * [misc]taylor: Taking taylor expansion of k in k 1538300269.711 * [misc]backup-simplify: Simplify 0 into 0 1538300269.711 * [misc]backup-simplify: Simplify 1 into 1 1538300269.711 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.712 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300269.712 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1538300269.712 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1538300269.712 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300269.712 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.712 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.712 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.712 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.712 * [misc]taylor: Taking taylor expansion of k in k 1538300269.712 * [misc]backup-simplify: Simplify 0 into 0 1538300269.712 * [misc]backup-simplify: Simplify 1 into 1 1538300269.712 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.712 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538300269.712 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538300269.712 * [misc]taylor: Taking taylor expansion of 2 in k 1538300269.712 * [misc]backup-simplify: Simplify 2 into 2 1538300269.713 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300269.713 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300269.713 * [misc]taylor: Taking taylor expansion of n in k 1538300269.713 * [misc]backup-simplify: Simplify n into n 1538300269.713 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300269.713 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.713 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300269.713 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300269.713 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300269.713 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538300269.714 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538300269.714 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300269.714 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1538300269.714 * [misc]backup-simplify: Simplify 0 into 0 1538300269.715 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538300269.717 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538300269.717 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300269.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300269.717 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300269.718 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538300269.719 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300269.720 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1538300269.720 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.720 * [misc]backup-simplify: Simplify 0 into 0 1538300269.720 * [misc]backup-simplify: Simplify 0 into 0 1538300269.720 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300269.721 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300269.721 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1538300269.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.726 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538300269.726 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.726 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300269.727 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.727 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.727 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300269.727 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538300269.730 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538300269.730 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1538300269.730 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.730 * [misc]backup-simplify: Simplify 0 into 0 1538300269.730 * [misc]backup-simplify: Simplify 0 into 0 1538300269.730 * [misc]backup-simplify: Simplify 0 into 0 1538300269.732 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300269.732 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300269.732 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300269.733 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1538300269.733 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.739 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538300269.740 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.740 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538300269.740 * [misc]backup-simplify: Simplify (- 0) into 0 1538300269.740 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.741 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300269.741 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538300269.744 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538300269.745 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1538300269.745 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.745 * [misc]backup-simplify: Simplify 0 into 0 1538300269.745 * [misc]backup-simplify: Simplify 0 into 0 1538300269.745 * [misc]backup-simplify: Simplify 0 into 0 1538300269.745 * [misc]backup-simplify: Simplify 0 into 0 1538300269.746 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300269.747 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300269.747 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300269.749 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538300269.750 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1538300269.750 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1538300269.750 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1538300269.750 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300269.750 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538300269.750 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538300269.750 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300269.750 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.750 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.750 * [misc]taylor: Taking taylor expansion of k in k 1538300269.750 * [misc]backup-simplify: Simplify 0 into 0 1538300269.750 * [misc]backup-simplify: Simplify 1 into 1 1538300269.750 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.750 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538300269.750 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538300269.751 * [misc]taylor: Taking taylor expansion of -2 in k 1538300269.751 * [misc]backup-simplify: Simplify -2 into -2 1538300269.751 * [misc]taylor: Taking taylor expansion of n in k 1538300269.751 * [misc]backup-simplify: Simplify n into n 1538300269.751 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538300269.751 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538300269.751 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.751 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.751 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538300269.751 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538300269.751 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300269.751 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300269.751 * [misc]taylor: Taking taylor expansion of -1 in k 1538300269.751 * [misc]backup-simplify: Simplify -1 into -1 1538300269.751 * [misc]taylor: Taking taylor expansion of k in k 1538300269.751 * [misc]backup-simplify: Simplify 0 into 0 1538300269.751 * [misc]backup-simplify: Simplify 1 into 1 1538300269.752 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300269.752 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.752 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300269.752 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538300269.753 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300269.753 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300269.753 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538300269.753 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538300269.753 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300269.753 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300269.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.753 * [misc]taylor: Taking taylor expansion of k in n 1538300269.753 * [misc]backup-simplify: Simplify k into k 1538300269.753 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.753 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538300269.753 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538300269.753 * [misc]taylor: Taking taylor expansion of -2 in n 1538300269.753 * [misc]backup-simplify: Simplify -2 into -2 1538300269.753 * [misc]taylor: Taking taylor expansion of n in n 1538300269.753 * [misc]backup-simplify: Simplify 0 into 0 1538300269.753 * [misc]backup-simplify: Simplify 1 into 1 1538300269.753 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538300269.753 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300269.753 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300269.754 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300269.754 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300269.754 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538300269.754 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300269.754 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300269.754 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300269.754 * [misc]taylor: Taking taylor expansion of -1 in n 1538300269.754 * [misc]backup-simplify: Simplify -1 into -1 1538300269.754 * [misc]taylor: Taking taylor expansion of k in n 1538300269.754 * [misc]backup-simplify: Simplify k into k 1538300269.755 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300269.755 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300269.755 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300269.755 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300269.755 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1538300269.755 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300269.755 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300269.755 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538300269.755 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538300269.755 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300269.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300269.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300269.755 * [misc]taylor: Taking taylor expansion of k in n 1538300269.756 * [misc]backup-simplify: Simplify k into k 1538300269.756 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300269.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300269.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.756 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538300269.756 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538300269.756 * [misc]taylor: Taking taylor expansion of -2 in n 1538300269.756 * [misc]backup-simplify: Simplify -2 into -2 1538300269.756 * [misc]taylor: Taking taylor expansion of n in n 1538300269.756 * [misc]backup-simplify: Simplify 0 into 0 1538300269.756 * [misc]backup-simplify: Simplify 1 into 1 1538300269.756 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538300269.756 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300269.756 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300269.756 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300269.757 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300269.757 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538300269.757 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300269.757 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300269.757 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300269.757 * [misc]taylor: Taking taylor expansion of -1 in n 1538300269.757 * [misc]backup-simplify: Simplify -1 into -1 1538300269.757 * [misc]taylor: Taking taylor expansion of k in n 1538300269.757 * [misc]backup-simplify: Simplify k into k 1538300269.757 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300269.757 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300269.758 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300269.758 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300269.758 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1538300269.758 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1538300269.758 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1538300269.758 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1538300269.758 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300269.758 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300269.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300269.758 * [misc]taylor: Taking taylor expansion of k in k 1538300269.758 * [misc]backup-simplify: Simplify 0 into 0 1538300269.758 * [misc]backup-simplify: Simplify 1 into 1 1538300269.758 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300269.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300269.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300269.759 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538300269.759 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538300269.759 * [misc]taylor: Taking taylor expansion of -2 in k 1538300269.759 * [misc]backup-simplify: Simplify -2 into -2 1538300269.759 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300269.759 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300269.759 * [misc]taylor: Taking taylor expansion of n in k 1538300269.759 * [misc]backup-simplify: Simplify n into n 1538300269.759 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300269.759 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300269.759 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300269.759 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300269.760 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538300269.760 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538300269.760 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300269.760 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300269.760 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300269.760 * [misc]taylor: Taking taylor expansion of -1 in k 1538300269.760 * [misc]backup-simplify: Simplify -1 into -1 1538300269.760 * [misc]taylor: Taking taylor expansion of k in k 1538300269.760 * [misc]backup-simplify: Simplify 0 into 0 1538300269.760 * [misc]backup-simplify: Simplify 1 into 1 1538300269.760 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300269.760 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300269.761 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300269.761 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300269.762 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300269.762 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538300269.764 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538300269.764 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300269.765 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300269.765 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300269.765 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538300269.767 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300269.767 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1538300269.767 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.767 * [misc]backup-simplify: Simplify 0 into 0 1538300269.767 * [misc]backup-simplify: Simplify 0 into 0 1538300269.768 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538300269.769 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300269.770 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1538300269.770 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1538300269.770 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.775 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538300269.775 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.775 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300269.775 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300269.776 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300269.776 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538300269.778 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538300269.778 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300269.779 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1538300269.780 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1538300269.780 * [misc]taylor: Taking taylor expansion of 0 in k 1538300269.780 * [misc]backup-simplify: Simplify 0 into 0 1538300269.780 * [misc]backup-simplify: Simplify 0 into 0 1538300269.780 * [misc]backup-simplify: Simplify 0 into 0 1538300269.780 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300269.781 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300269.783 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1538300269.783 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1538300269.784 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1538300269.785 * * * [misc]progress: simplifying candidates 1538300269.785 * * * * [misc]progress: [ 1 / 127 ] simplifiying candidate # 1538300269.785 * * * * [misc]progress: [ 2 / 127 ] simplifiying candidate # 1538300269.785 * * * * [misc]progress: [ 3 / 127 ] simplifiying candidate # 1538300269.785 * * * * [misc]progress: [ 4 / 127 ] simplifiying candidate # 1538300269.785 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1538300269.786 * * [misc]simplify: iters left: 3 (5 enodes) 1538300269.787 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1538300269.787 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow PI 1/2) (pow PI (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300269.788 * * * * [misc]progress: [ 5 / 127 ] simplifiying candidate # 1538300269.788 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538300269.788 * * [misc]simplify: iters left: 5 (6 enodes) 1538300269.790 * * [misc]simplify: iters left: 4 (8 enodes) 1538300269.793 * * [misc]simplify: iters left: 3 (11 enodes) 1538300269.796 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538300269.796 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300269.796 * * * * [misc]progress: [ 6 / 127 ] simplifiying candidate # 1538300269.796 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538300269.797 * * [misc]simplify: iters left: 5 (6 enodes) 1538300269.799 * * [misc]simplify: iters left: 4 (8 enodes) 1538300269.802 * * [misc]simplify: iters left: 3 (11 enodes) 1538300269.805 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538300269.805 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300269.805 * * * * [misc]progress: [ 7 / 127 ] simplifiying candidate # 1538300269.805 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538300269.805 * * [misc]simplify: iters left: 4 (5 enodes) 1538300269.807 * * [misc]simplify: iters left: 3 (7 enodes) 1538300269.810 * * [misc]simplify: iters left: 2 (10 enodes) 1538300269.812 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538300269.812 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow PI 1) (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300269.812 * * * * [misc]progress: [ 8 / 127 ] simplifiying candidate # 1538300269.812 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538300269.812 * * [misc]simplify: iters left: 5 (6 enodes) 1538300269.814 * * [misc]simplify: iters left: 4 (8 enodes) 1538300269.815 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538300269.815 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300269.815 * * * * [misc]progress: [ 9 / 127 ] simplifiying candidate # 1538300269.815 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538300269.816 * * [misc]simplify: iters left: 5 (6 enodes) 1538300269.818 * * [misc]simplify: iters left: 4 (8 enodes) 1538300269.821 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538300269.821 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300269.821 * * * * [misc]progress: [ 10 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 11 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 12 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 13 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 14 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 15 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 16 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 17 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 18 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 19 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 20 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 21 / 127 ] simplifiying candidate # 1538300269.821 * * * * [misc]progress: [ 22 / 127 ] simplifiying candidate # 1538300269.822 * * * * [misc]progress: [ 23 / 127 ] simplifiying candidate # 1538300269.822 * * * * [misc]progress: [ 24 / 127 ] simplifiying candidate # 1538300269.822 * * * * [misc]progress: [ 25 / 127 ] simplifiying candidate # 1538300269.822 * * * * [misc]progress: [ 26 / 127 ] simplifiying candidate # 1538300269.822 * * * * [misc]progress: [ 27 / 127 ] simplifiying candidate # 1538300269.822 * * * * [misc]progress: [ 28 / 127 ] simplifiying candidate # 1538300269.822 * * * * [misc]progress: [ 29 / 127 ] simplifiying candidate # 1538300269.822 * * * * [misc]progress: [ 30 / 127 ] simplifiying candidate # 1538300269.822 * * * * [misc]progress: [ 31 / 127 ] simplifiying candidate # 1538300269.822 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300269.823 * * [misc]simplify: iters left: 6 (14 enodes) 1538300269.832 * * [misc]simplify: iters left: 5 (27 enodes) 1538300269.845 * * [misc]simplify: iters left: 4 (55 enodes) 1538300269.876 * * [misc]simplify: iters left: 3 (144 enodes) 1538300270.030 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1538300270.030 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300270.030 * * * * [misc]progress: [ 32 / 127 ] simplifiying candidate # 1538300270.030 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300270.032 * * [misc]simplify: iters left: 6 (14 enodes) 1538300270.039 * * [misc]simplify: iters left: 5 (27 enodes) 1538300270.052 * * [misc]simplify: iters left: 4 (55 enodes) 1538300270.089 * * [misc]simplify: iters left: 3 (144 enodes) 1538300270.267 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1538300270.267 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300270.267 * * * * [misc]progress: [ 33 / 127 ] simplifiying candidate # 1538300270.268 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1538300270.269 * * [misc]simplify: iters left: 6 (14 enodes) 1538300270.272 * * [misc]simplify: iters left: 5 (24 enodes) 1538300270.278 * * [misc]simplify: iters left: 4 (43 enodes) 1538300270.291 * * [misc]simplify: iters left: 3 (73 enodes) 1538300270.349 * * [misc]simplify: iters left: 2 (220 enodes) 1538300270.675 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1538300270.675 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300270.676 * * * * [misc]progress: [ 34 / 127 ] simplifiying candidate # 1538300270.676 * * * * [misc]progress: [ 35 / 127 ] simplifiying candidate # 1538300270.676 * * * * [misc]progress: [ 36 / 127 ] simplifiying candidate # 1538300270.676 * [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))) 1538300270.678 * * [misc]simplify: iters left: 6 (16 enodes) 1538300270.687 * * [misc]simplify: iters left: 5 (31 enodes) 1538300270.703 * * [misc]simplify: iters left: 4 (67 enodes) 1538300270.738 * * [misc]simplify: iters left: 3 (124 enodes) 1538300270.787 * * [misc]simplify: iters left: 2 (195 enodes) 1538300270.843 * * [misc]simplify: iters left: 1 (309 enodes) 1538300271.045 * [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)))) 1538300271.046 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (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)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.046 * * * * [misc]progress: [ 37 / 127 ] simplifiying candidate # 1538300271.046 * * * * [misc]progress: [ 38 / 127 ] simplifiying candidate # 1538300271.046 * * * * [misc]progress: [ 39 / 127 ] simplifiying candidate # 1538300271.046 * * * * [misc]progress: [ 40 / 127 ] simplifiying candidate # 1538300271.046 * * * * [misc]progress: [ 41 / 127 ] simplifiying candidate # 1538300271.046 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300271.048 * * [misc]simplify: iters left: 6 (12 enodes) 1538300271.053 * * [misc]simplify: iters left: 5 (19 enodes) 1538300271.060 * * [misc]simplify: iters left: 4 (25 enodes) 1538300271.068 * * [misc]simplify: iters left: 3 (26 enodes) 1538300271.079 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300271.079 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.080 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538300271.081 * * [misc]simplify: iters left: 6 (12 enodes) 1538300271.086 * * [misc]simplify: iters left: 5 (18 enodes) 1538300271.093 * * [misc]simplify: iters left: 4 (24 enodes) 1538300271.101 * * [misc]simplify: iters left: 3 (25 enodes) 1538300271.109 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538300271.110 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.110 * * * * [misc]progress: [ 42 / 127 ] simplifiying candidate # 1538300271.110 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538300271.111 * * [misc]simplify: iters left: 6 (11 enodes) 1538300271.116 * * [misc]simplify: iters left: 5 (16 enodes) 1538300271.122 * * [misc]simplify: iters left: 4 (22 enodes) 1538300271.129 * * [misc]simplify: iters left: 3 (24 enodes) 1538300271.138 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538300271.138 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.138 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538300271.139 * * [misc]simplify: iters left: 6 (12 enodes) 1538300271.144 * * [misc]simplify: iters left: 5 (18 enodes) 1538300271.152 * * [misc]simplify: iters left: 4 (24 enodes) 1538300271.160 * * [misc]simplify: iters left: 3 (25 enodes) 1538300271.169 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538300271.169 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.169 * * * * [misc]progress: [ 43 / 127 ] simplifiying candidate # 1538300271.169 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538300271.170 * * [misc]simplify: iters left: 6 (9 enodes) 1538300271.174 * * [misc]simplify: iters left: 5 (16 enodes) 1538300271.181 * * [misc]simplify: iters left: 4 (24 enodes) 1538300271.188 * * [misc]simplify: iters left: 3 (26 enodes) 1538300271.195 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538300271.195 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.195 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538300271.196 * * [misc]simplify: iters left: 6 (11 enodes) 1538300271.198 * * [misc]simplify: iters left: 5 (17 enodes) 1538300271.203 * * [misc]simplify: iters left: 4 (23 enodes) 1538300271.207 * * [misc]simplify: iters left: 3 (24 enodes) 1538300271.211 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538300271.211 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.211 * * * * [misc]progress: [ 44 / 127 ] simplifiying candidate # 1538300271.211 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300271.212 * * [misc]simplify: iters left: 6 (12 enodes) 1538300271.215 * * [misc]simplify: iters left: 5 (19 enodes) 1538300271.218 * * [misc]simplify: iters left: 4 (25 enodes) 1538300271.222 * * [misc]simplify: iters left: 3 (26 enodes) 1538300271.229 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300271.229 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.230 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538300271.231 * * [misc]simplify: iters left: 6 (12 enodes) 1538300271.236 * * [misc]simplify: iters left: 5 (18 enodes) 1538300271.243 * * [misc]simplify: iters left: 4 (24 enodes) 1538300271.251 * * [misc]simplify: iters left: 3 (25 enodes) 1538300271.257 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538300271.257 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.257 * * * * [misc]progress: [ 45 / 127 ] simplifiying candidate # 1538300271.258 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538300271.258 * * [misc]simplify: iters left: 6 (11 enodes) 1538300271.261 * * [misc]simplify: iters left: 5 (16 enodes) 1538300271.264 * * [misc]simplify: iters left: 4 (22 enodes) 1538300271.267 * * [misc]simplify: iters left: 3 (24 enodes) 1538300271.271 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538300271.271 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.271 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538300271.272 * * [misc]simplify: iters left: 6 (12 enodes) 1538300271.275 * * [misc]simplify: iters left: 5 (18 enodes) 1538300271.278 * * [misc]simplify: iters left: 4 (24 enodes) 1538300271.283 * * [misc]simplify: iters left: 3 (25 enodes) 1538300271.287 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538300271.287 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.287 * * * * [misc]progress: [ 46 / 127 ] simplifiying candidate # 1538300271.287 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538300271.288 * * [misc]simplify: iters left: 6 (9 enodes) 1538300271.290 * * [misc]simplify: iters left: 5 (16 enodes) 1538300271.296 * * [misc]simplify: iters left: 4 (24 enodes) 1538300271.303 * * [misc]simplify: iters left: 3 (26 enodes) 1538300271.307 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538300271.307 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.307 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538300271.308 * * [misc]simplify: iters left: 6 (11 enodes) 1538300271.310 * * [misc]simplify: iters left: 5 (17 enodes) 1538300271.314 * * [misc]simplify: iters left: 4 (23 enodes) 1538300271.318 * * [misc]simplify: iters left: 3 (24 enodes) 1538300271.322 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538300271.322 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.322 * * * * [misc]progress: [ 47 / 127 ] simplifiying candidate # 1538300271.322 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300271.323 * * [misc]simplify: iters left: 6 (11 enodes) 1538300271.325 * * [misc]simplify: iters left: 5 (15 enodes) 1538300271.328 * * [misc]simplify: iters left: 4 (18 enodes) 1538300271.331 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300271.331 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.331 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300271.332 * * [misc]simplify: iters left: 6 (11 enodes) 1538300271.336 * * [misc]simplify: iters left: 5 (14 enodes) 1538300271.341 * * [misc]simplify: iters left: 4 (17 enodes) 1538300271.347 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300271.347 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.347 * * * * [misc]progress: [ 48 / 127 ] simplifiying candidate # 1538300271.348 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300271.349 * * [misc]simplify: iters left: 6 (10 enodes) 1538300271.352 * * [misc]simplify: iters left: 5 (12 enodes) 1538300271.356 * * [misc]simplify: iters left: 4 (15 enodes) 1538300271.362 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300271.362 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.362 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300271.363 * * [misc]simplify: iters left: 6 (11 enodes) 1538300271.367 * * [misc]simplify: iters left: 5 (14 enodes) 1538300271.372 * * [misc]simplify: iters left: 4 (17 enodes) 1538300271.377 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300271.377 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.377 * * * * [misc]progress: [ 49 / 127 ] simplifiying candidate # 1538300271.377 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1538300271.379 * * [misc]simplify: iters left: 6 (9 enodes) 1538300271.381 * * [misc]simplify: iters left: 5 (13 enodes) 1538300271.383 * * [misc]simplify: iters left: 4 (18 enodes) 1538300271.386 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538300271.386 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.386 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300271.387 * * [misc]simplify: iters left: 6 (10 enodes) 1538300271.389 * * [misc]simplify: iters left: 5 (13 enodes) 1538300271.391 * * [misc]simplify: iters left: 4 (16 enodes) 1538300271.393 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300271.394 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.394 * * * * [misc]progress: [ 50 / 127 ] simplifiying candidate # 1538300271.394 * [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)))) 1538300271.395 * * [misc]simplify: iters left: 6 (16 enodes) 1538300271.398 * * [misc]simplify: iters left: 5 (28 enodes) 1538300271.406 * * [misc]simplify: iters left: 4 (46 enodes) 1538300271.414 * * [misc]simplify: iters left: 3 (50 enodes) 1538300271.421 * * [misc]simplify: iters left: 2 (53 enodes) 1538300271.431 * [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)))) 1538300271.431 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (* (/ (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))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.432 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300271.432 * * [misc]simplify: iters left: 6 (14 enodes) 1538300271.435 * * [misc]simplify: iters left: 5 (20 enodes) 1538300271.439 * * [misc]simplify: iters left: 4 (29 enodes) 1538300271.444 * * [misc]simplify: iters left: 3 (30 enodes) 1538300271.457 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300271.457 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (* (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))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.457 * * * * [misc]progress: [ 51 / 127 ] simplifiying candidate # 1538300271.457 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538300271.459 * * [misc]simplify: iters left: 6 (15 enodes) 1538300271.465 * * [misc]simplify: iters left: 5 (23 enodes) 1538300271.475 * * [misc]simplify: iters left: 4 (34 enodes) 1538300271.486 * * [misc]simplify: iters left: 3 (37 enodes) 1538300271.500 * [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)))))) 1538300271.500 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (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))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.501 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300271.502 * * [misc]simplify: iters left: 6 (14 enodes) 1538300271.508 * * [misc]simplify: iters left: 5 (20 enodes) 1538300271.513 * * [misc]simplify: iters left: 4 (29 enodes) 1538300271.518 * * [misc]simplify: iters left: 3 (30 enodes) 1538300271.523 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300271.523 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (* (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))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.523 * * * * [misc]progress: [ 52 / 127 ] simplifiying candidate # 1538300271.523 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1538300271.524 * * [misc]simplify: iters left: 6 (14 enodes) 1538300271.527 * * [misc]simplify: iters left: 5 (24 enodes) 1538300271.533 * * [misc]simplify: iters left: 4 (39 enodes) 1538300271.540 * * [misc]simplify: iters left: 3 (54 enodes) 1538300271.560 * * [misc]simplify: iters left: 2 (80 enodes) 1538300271.585 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1538300271.585 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (* (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)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.585 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538300271.587 * * [misc]simplify: iters left: 6 (13 enodes) 1538300271.592 * * [misc]simplify: iters left: 5 (19 enodes) 1538300271.600 * * [misc]simplify: iters left: 4 (28 enodes) 1538300271.609 * * [misc]simplify: iters left: 3 (30 enodes) 1538300271.620 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538300271.620 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (* (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)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.620 * * * * [misc]progress: [ 53 / 127 ] simplifiying candidate # 1538300271.620 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300271.622 * * [misc]simplify: iters left: 6 (15 enodes) 1538300271.628 * * [misc]simplify: iters left: 5 (23 enodes) 1538300271.637 * * [misc]simplify: iters left: 4 (32 enodes) 1538300271.647 * * [misc]simplify: iters left: 3 (34 enodes) 1538300271.660 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300271.660 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (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))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.660 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300271.661 * * [misc]simplify: iters left: 6 (14 enodes) 1538300271.667 * * [misc]simplify: iters left: 5 (20 enodes) 1538300271.675 * * [misc]simplify: iters left: 4 (29 enodes) 1538300271.686 * * [misc]simplify: iters left: 3 (30 enodes) 1538300271.697 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300271.697 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (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))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.697 * * * * [misc]progress: [ 54 / 127 ] simplifiying candidate # 1538300271.697 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300271.699 * * [misc]simplify: iters left: 6 (14 enodes) 1538300271.704 * * [misc]simplify: iters left: 5 (20 enodes) 1538300271.712 * * [misc]simplify: iters left: 4 (29 enodes) 1538300271.721 * * [misc]simplify: iters left: 3 (30 enodes) 1538300271.732 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300271.732 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.733 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300271.734 * * [misc]simplify: iters left: 6 (14 enodes) 1538300271.740 * * [misc]simplify: iters left: 5 (20 enodes) 1538300271.748 * * [misc]simplify: iters left: 4 (29 enodes) 1538300271.757 * * [misc]simplify: iters left: 3 (30 enodes) 1538300271.768 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300271.768 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.768 * * * * [misc]progress: [ 55 / 127 ] simplifiying candidate # 1538300271.768 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1538300271.769 * * [misc]simplify: iters left: 6 (13 enodes) 1538300271.775 * * [misc]simplify: iters left: 5 (21 enodes) 1538300271.785 * * [misc]simplify: iters left: 4 (32 enodes) 1538300271.794 * * [misc]simplify: iters left: 3 (33 enodes) 1538300271.804 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1538300271.804 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.804 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538300271.805 * * [misc]simplify: iters left: 6 (13 enodes) 1538300271.811 * * [misc]simplify: iters left: 5 (19 enodes) 1538300271.821 * * [misc]simplify: iters left: 4 (28 enodes) 1538300271.827 * * [misc]simplify: iters left: 3 (30 enodes) 1538300271.832 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538300271.832 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.832 * * * * [misc]progress: [ 56 / 127 ] simplifiying candidate # 1538300271.832 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300271.832 * * [misc]simplify: iters left: 6 (6 enodes) 1538300271.834 * * [misc]simplify: iters left: 5 (10 enodes) 1538300271.835 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1538300271.835 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.835 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300271.836 * * [misc]simplify: iters left: 6 (13 enodes) 1538300271.839 * * [misc]simplify: iters left: 5 (19 enodes) 1538300271.843 * * [misc]simplify: iters left: 4 (28 enodes) 1538300271.847 * * [misc]simplify: iters left: 3 (30 enodes) 1538300271.853 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300271.853 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.853 * * * * [misc]progress: [ 57 / 127 ] simplifiying candidate # 1538300271.853 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1538300271.854 * * [misc]simplify: iters left: 4 (5 enodes) 1538300271.855 * * [misc]simplify: iters left: 3 (7 enodes) 1538300271.857 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538300271.857 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.858 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300271.859 * * [misc]simplify: iters left: 6 (13 enodes) 1538300271.864 * * [misc]simplify: iters left: 5 (19 enodes) 1538300271.870 * * [misc]simplify: iters left: 4 (28 enodes) 1538300271.879 * * [misc]simplify: iters left: 3 (30 enodes) 1538300271.888 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300271.888 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.888 * * * * [misc]progress: [ 58 / 127 ] simplifiying candidate # 1538300271.888 * [enter]simplify: Simplifying (/ 1 1) 1538300271.888 * * [misc]simplify: iters left: 2 (2 enodes) 1538300271.889 * * [misc]simplify: iters left: 1 (4 enodes) 1538300271.890 * [exit]simplify: Simplified to 1 1538300271.890 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.890 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538300271.891 * * [misc]simplify: iters left: 6 (12 enodes) 1538300271.896 * * [misc]simplify: iters left: 5 (18 enodes) 1538300271.902 * * [misc]simplify: iters left: 4 (27 enodes) 1538300271.909 * * [misc]simplify: iters left: 3 (29 enodes) 1538300271.915 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1538300271.915 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.915 * * * * [misc]progress: [ 59 / 127 ] simplifiying candidate # 1538300271.915 * * * * [misc]progress: [ 60 / 127 ] simplifiying candidate # 1538300271.915 * * * * [misc]progress: [ 61 / 127 ] simplifiying candidate # 1538300271.915 * * * * [misc]progress: [ 62 / 127 ] simplifiying candidate # 1538300271.916 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1538300271.916 * * [misc]simplify: iters left: 2 (3 enodes) 1538300271.916 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1538300271.916 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.916 * * * * [misc]progress: [ 63 / 127 ] simplifiying candidate # 1538300271.916 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538300271.917 * * [misc]simplify: iters left: 2 (3 enodes) 1538300271.917 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538300271.917 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.917 * * * * [misc]progress: [ 64 / 127 ] simplifiying candidate # 1538300271.917 * [enter]simplify: Simplifying (sqrt k) 1538300271.917 * * [misc]simplify: iters left: 1 (2 enodes) 1538300271.918 * [exit]simplify: Simplified to (sqrt k) 1538300271.918 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.918 * * * * [misc]progress: [ 65 / 127 ] simplifiying candidate # 1538300271.918 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538300271.918 * * [misc]simplify: iters left: 5 (7 enodes) 1538300271.920 * * [misc]simplify: iters left: 4 (12 enodes) 1538300271.922 * * [misc]simplify: iters left: 3 (18 enodes) 1538300271.925 * * [misc]simplify: iters left: 2 (20 enodes) 1538300271.928 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538300271.928 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.929 * * * * [misc]progress: [ 66 / 127 ] simplifiying candidate # 1538300271.929 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538300271.929 * * [misc]simplify: iters left: 5 (7 enodes) 1538300271.931 * * [misc]simplify: iters left: 4 (12 enodes) 1538300271.933 * * [misc]simplify: iters left: 3 (18 enodes) 1538300271.936 * * [misc]simplify: iters left: 2 (20 enodes) 1538300271.939 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538300271.939 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.939 * * * * [misc]progress: [ 67 / 127 ] simplifiying candidate # 1538300271.939 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538300271.940 * * [misc]simplify: iters left: 5 (7 enodes) 1538300271.941 * * [misc]simplify: iters left: 4 (9 enodes) 1538300271.943 * * [misc]simplify: iters left: 3 (12 enodes) 1538300271.945 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538300271.945 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.945 * * * * [misc]progress: [ 68 / 127 ] simplifiying candidate # 1538300271.946 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1538300271.947 * * [misc]simplify: iters left: 6 (12 enodes) 1538300271.949 * * [misc]simplify: iters left: 5 (18 enodes) 1538300271.953 * * [misc]simplify: iters left: 4 (27 enodes) 1538300271.958 * * [misc]simplify: iters left: 3 (29 enodes) 1538300271.963 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1538300271.963 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (* (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))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.963 * * * * [misc]progress: [ 69 / 127 ] simplifiying candidate # 1538300271.963 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1538300271.964 * * [misc]simplify: iters left: 6 (11 enodes) 1538300271.966 * * [misc]simplify: iters left: 5 (17 enodes) 1538300271.970 * * [misc]simplify: iters left: 4 (26 enodes) 1538300271.974 * * [misc]simplify: iters left: 3 (27 enodes) 1538300271.978 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1538300271.978 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.978 * * * * [misc]progress: [ 70 / 127 ] simplifiying candidate # 1538300271.978 * * * * [misc]progress: [ 71 / 127 ] simplifiying candidate # 1538300271.979 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538300271.980 * * [misc]simplify: iters left: 5 (7 enodes) 1538300271.982 * * [misc]simplify: iters left: 4 (12 enodes) 1538300271.985 * * [misc]simplify: iters left: 3 (18 enodes) 1538300271.991 * * [misc]simplify: iters left: 2 (20 enodes) 1538300271.997 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538300271.997 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300271.997 * * * * [misc]progress: [ 72 / 127 ] simplifiying candidate # 1538300271.998 * * * * [misc]progress: [ 73 / 127 ] simplifiying candidate # 1538300271.998 * * * * [misc]progress: [ 74 / 127 ] simplifiying candidate # 1538300271.998 * * * * [misc]progress: [ 75 / 127 ] simplifiying candidate # 1538300271.998 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300272.000 * * [misc]simplify: iters left: 6 (12 enodes) 1538300272.006 * * [misc]simplify: iters left: 5 (22 enodes) 1538300272.016 * * [misc]simplify: iters left: 4 (40 enodes) 1538300272.042 * * [misc]simplify: iters left: 3 (104 enodes) 1538300272.142 * * [misc]simplify: iters left: 2 (334 enodes) 1538300272.896 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300272.896 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))))))) 1538300272.897 * * * * [misc]progress: [ 76 / 127 ] simplifiying candidate # 1538300272.897 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300272.898 * * [misc]simplify: iters left: 6 (12 enodes) 1538300272.901 * * [misc]simplify: iters left: 5 (22 enodes) 1538300272.906 * * [misc]simplify: iters left: 4 (40 enodes) 1538300272.924 * * [misc]simplify: iters left: 3 (104 enodes) 1538300273.027 * * [misc]simplify: iters left: 2 (334 enodes) 1538300273.320 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300273.321 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))))))) 1538300273.321 * * * * [misc]progress: [ 77 / 127 ] simplifiying candidate # 1538300273.321 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1538300273.322 * * [misc]simplify: iters left: 6 (12 enodes) 1538300273.325 * * [misc]simplify: iters left: 5 (19 enodes) 1538300273.333 * * [misc]simplify: iters left: 4 (29 enodes) 1538300273.345 * * [misc]simplify: iters left: 3 (46 enodes) 1538300273.366 * * [misc]simplify: iters left: 2 (134 enodes) 1538300273.451 * * [misc]simplify: iters left: 1 (437 enodes) 1538300273.793 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300273.793 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))))))) 1538300273.793 * * * * [misc]progress: [ 78 / 127 ] simplifiying candidate # 1538300273.793 * * * * [misc]progress: [ 79 / 127 ] simplifiying candidate # 1538300273.794 * * * * [misc]progress: [ 80 / 127 ] simplifiying candidate # 1538300273.794 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1538300273.795 * * [misc]simplify: iters left: 6 (14 enodes) 1538300273.803 * * [misc]simplify: iters left: 5 (26 enodes) 1538300273.812 * * [misc]simplify: iters left: 4 (57 enodes) 1538300273.827 * * [misc]simplify: iters left: 3 (112 enodes) 1538300273.858 * * [misc]simplify: iters left: 2 (189 enodes) 1538300273.917 * * [misc]simplify: iters left: 1 (316 enodes) 1538300274.076 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1538300274.076 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1538300274.077 * * * * [misc]progress: [ 81 / 127 ] simplifiying candidate # 1538300274.077 * * * * [misc]progress: [ 82 / 127 ] simplifiying candidate # 1538300274.077 * * * * [misc]progress: [ 83 / 127 ] simplifiying candidate # 1538300274.077 * * * * [misc]progress: [ 84 / 127 ] simplifiying candidate # 1538300274.077 * * * * [misc]progress: [ 85 / 127 ] simplifiying candidate # 1538300274.077 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.078 * * [misc]simplify: iters left: 6 (10 enodes) 1538300274.083 * * [misc]simplify: iters left: 5 (14 enodes) 1538300274.088 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.088 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))))))) 1538300274.088 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1538300274.092 * * [misc]simplify: iters left: 6 (10 enodes) 1538300274.096 * * [misc]simplify: iters left: 5 (13 enodes) 1538300274.102 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1538300274.102 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))))) 1538300274.102 * * * * [misc]progress: [ 86 / 127 ] simplifiying candidate # 1538300274.102 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1538300274.103 * * [misc]simplify: iters left: 5 (9 enodes) 1538300274.106 * * [misc]simplify: iters left: 4 (11 enodes) 1538300274.110 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538300274.110 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1538300274.110 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1538300274.111 * * [misc]simplify: iters left: 6 (10 enodes) 1538300274.115 * * [misc]simplify: iters left: 5 (13 enodes) 1538300274.121 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1538300274.121 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))))) 1538300274.121 * * * * [misc]progress: [ 87 / 127 ] simplifiying candidate # 1538300274.121 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1538300274.122 * * [misc]simplify: iters left: 5 (7 enodes) 1538300274.125 * * [misc]simplify: iters left: 4 (11 enodes) 1538300274.129 * * [misc]simplify: iters left: 3 (13 enodes) 1538300274.132 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300274.132 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1538300274.132 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1538300274.133 * * [misc]simplify: iters left: 6 (9 enodes) 1538300274.137 * * [misc]simplify: iters left: 5 (12 enodes) 1538300274.141 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1538300274.141 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1538300274.141 * * * * [misc]progress: [ 88 / 127 ] simplifiying candidate # 1538300274.141 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.142 * * [misc]simplify: iters left: 6 (10 enodes) 1538300274.147 * * [misc]simplify: iters left: 5 (14 enodes) 1538300274.152 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.152 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))))))) 1538300274.152 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1538300274.152 * * [misc]simplify: iters left: 6 (10 enodes) 1538300274.154 * * [misc]simplify: iters left: 5 (13 enodes) 1538300274.157 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1538300274.157 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))))) 1538300274.157 * * * * [misc]progress: [ 89 / 127 ] simplifiying candidate # 1538300274.157 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1538300274.157 * * [misc]simplify: iters left: 5 (9 enodes) 1538300274.159 * * [misc]simplify: iters left: 4 (11 enodes) 1538300274.161 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538300274.161 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1538300274.161 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1538300274.162 * * [misc]simplify: iters left: 6 (10 enodes) 1538300274.164 * * [misc]simplify: iters left: 5 (13 enodes) 1538300274.166 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1538300274.166 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))))) 1538300274.166 * * * * [misc]progress: [ 90 / 127 ] simplifiying candidate # 1538300274.166 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1538300274.167 * * [misc]simplify: iters left: 5 (7 enodes) 1538300274.168 * * [misc]simplify: iters left: 4 (11 enodes) 1538300274.170 * * [misc]simplify: iters left: 3 (13 enodes) 1538300274.172 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300274.172 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1538300274.172 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1538300274.173 * * [misc]simplify: iters left: 6 (9 enodes) 1538300274.174 * * [misc]simplify: iters left: 5 (12 enodes) 1538300274.177 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1538300274.177 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1538300274.177 * * * * [misc]progress: [ 91 / 127 ] simplifiying candidate # 1538300274.177 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.177 * * [misc]simplify: iters left: 6 (11 enodes) 1538300274.179 * * [misc]simplify: iters left: 5 (15 enodes) 1538300274.182 * * [misc]simplify: iters left: 4 (18 enodes) 1538300274.185 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.185 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300274.186 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300274.186 * * [misc]simplify: iters left: 6 (9 enodes) 1538300274.188 * * [misc]simplify: iters left: 5 (11 enodes) 1538300274.190 * * [misc]simplify: iters left: 4 (14 enodes) 1538300274.194 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300274.194 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300274.194 * * * * [misc]progress: [ 92 / 127 ] simplifiying candidate # 1538300274.194 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300274.194 * * [misc]simplify: iters left: 6 (10 enodes) 1538300274.196 * * [misc]simplify: iters left: 5 (12 enodes) 1538300274.198 * * [misc]simplify: iters left: 4 (15 enodes) 1538300274.202 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300274.202 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300274.203 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300274.204 * * [misc]simplify: iters left: 6 (9 enodes) 1538300274.207 * * [misc]simplify: iters left: 5 (11 enodes) 1538300274.211 * * [misc]simplify: iters left: 4 (14 enodes) 1538300274.216 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300274.216 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300274.216 * * * * [misc]progress: [ 93 / 127 ] simplifiying candidate # 1538300274.216 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1538300274.217 * * [misc]simplify: iters left: 6 (9 enodes) 1538300274.220 * * [misc]simplify: iters left: 5 (13 enodes) 1538300274.226 * * [misc]simplify: iters left: 4 (18 enodes) 1538300274.231 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538300274.231 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))))) 1538300274.232 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1538300274.232 * * [misc]simplify: iters left: 6 (8 enodes) 1538300274.235 * * [misc]simplify: iters left: 5 (10 enodes) 1538300274.239 * * [misc]simplify: iters left: 4 (13 enodes) 1538300274.244 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1538300274.244 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))))) 1538300274.244 * * * * [misc]progress: [ 94 / 127 ] simplifiying candidate # 1538300274.244 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.246 * * [misc]simplify: iters left: 6 (14 enodes) 1538300274.252 * * [misc]simplify: iters left: 5 (23 enodes) 1538300274.262 * * [misc]simplify: iters left: 4 (35 enodes) 1538300274.273 * * [misc]simplify: iters left: 3 (38 enodes) 1538300274.285 * * [misc]simplify: iters left: 2 (41 enodes) 1538300274.300 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538300274.300 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1538300274.300 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300274.301 * * [misc]simplify: iters left: 6 (12 enodes) 1538300274.304 * * [misc]simplify: iters left: 5 (15 enodes) 1538300274.307 * * [misc]simplify: iters left: 4 (18 enodes) 1538300274.310 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300274.310 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1538300274.310 * * * * [misc]progress: [ 95 / 127 ] simplifiying candidate # 1538300274.310 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538300274.312 * * [misc]simplify: iters left: 6 (13 enodes) 1538300274.315 * * [misc]simplify: iters left: 5 (18 enodes) 1538300274.318 * * [misc]simplify: iters left: 4 (23 enodes) 1538300274.322 * * [misc]simplify: iters left: 3 (24 enodes) 1538300274.326 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300274.326 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300274.327 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300274.328 * * [misc]simplify: iters left: 6 (12 enodes) 1538300274.330 * * [misc]simplify: iters left: 5 (15 enodes) 1538300274.332 * * [misc]simplify: iters left: 4 (18 enodes) 1538300274.335 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300274.335 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300274.335 * * * * [misc]progress: [ 96 / 127 ] simplifiying candidate # 1538300274.336 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1538300274.336 * * [misc]simplify: iters left: 6 (12 enodes) 1538300274.339 * * [misc]simplify: iters left: 5 (19 enodes) 1538300274.346 * * [misc]simplify: iters left: 4 (28 enodes) 1538300274.356 * * [misc]simplify: iters left: 3 (42 enodes) 1538300274.371 * * [misc]simplify: iters left: 2 (68 enodes) 1538300274.392 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300274.392 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300274.392 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1538300274.393 * * [misc]simplify: iters left: 6 (11 enodes) 1538300274.397 * * [misc]simplify: iters left: 5 (14 enodes) 1538300274.402 * * [misc]simplify: iters left: 4 (17 enodes) 1538300274.408 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1538300274.408 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300274.408 * * * * [misc]progress: [ 97 / 127 ] simplifiying candidate # 1538300274.409 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.410 * * [misc]simplify: iters left: 6 (13 enodes) 1538300274.415 * * [misc]simplify: iters left: 5 (18 enodes) 1538300274.424 * * [misc]simplify: iters left: 4 (21 enodes) 1538300274.432 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.432 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1538300274.432 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300274.433 * * [misc]simplify: iters left: 6 (12 enodes) 1538300274.438 * * [misc]simplify: iters left: 5 (15 enodes) 1538300274.443 * * [misc]simplify: iters left: 4 (18 enodes) 1538300274.450 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300274.450 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1538300274.450 * * * * [misc]progress: [ 98 / 127 ] simplifiying candidate # 1538300274.451 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300274.452 * * [misc]simplify: iters left: 6 (12 enodes) 1538300274.456 * * [misc]simplify: iters left: 5 (15 enodes) 1538300274.461 * * [misc]simplify: iters left: 4 (18 enodes) 1538300274.468 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300274.468 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300274.468 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300274.469 * * [misc]simplify: iters left: 6 (12 enodes) 1538300274.474 * * [misc]simplify: iters left: 5 (15 enodes) 1538300274.479 * * [misc]simplify: iters left: 4 (18 enodes) 1538300274.486 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300274.486 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300274.486 * * * * [misc]progress: [ 99 / 127 ] simplifiying candidate # 1538300274.486 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1538300274.487 * * [misc]simplify: iters left: 6 (11 enodes) 1538300274.492 * * [misc]simplify: iters left: 5 (16 enodes) 1538300274.499 * * [misc]simplify: iters left: 4 (21 enodes) 1538300274.505 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300274.505 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300274.506 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1538300274.507 * * [misc]simplify: iters left: 6 (11 enodes) 1538300274.511 * * [misc]simplify: iters left: 5 (14 enodes) 1538300274.516 * * [misc]simplify: iters left: 4 (17 enodes) 1538300274.522 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1538300274.522 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300274.522 * * * * [misc]progress: [ 100 / 127 ] simplifiying candidate # 1538300274.522 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300274.523 * * [misc]simplify: iters left: 6 (6 enodes) 1538300274.525 * * [misc]simplify: iters left: 5 (10 enodes) 1538300274.529 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1538300274.529 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300274.529 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300274.530 * * [misc]simplify: iters left: 6 (11 enodes) 1538300274.535 * * [misc]simplify: iters left: 5 (14 enodes) 1538300274.537 * * [misc]simplify: iters left: 4 (17 enodes) 1538300274.540 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300274.540 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300274.540 * * * * [misc]progress: [ 101 / 127 ] simplifiying candidate # 1538300274.541 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1538300274.541 * * [misc]simplify: iters left: 4 (5 enodes) 1538300274.542 * * [misc]simplify: iters left: 3 (7 enodes) 1538300274.543 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538300274.543 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300274.543 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300274.544 * * [misc]simplify: iters left: 6 (11 enodes) 1538300274.546 * * [misc]simplify: iters left: 5 (14 enodes) 1538300274.550 * * [misc]simplify: iters left: 4 (17 enodes) 1538300274.553 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300274.553 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300274.553 * * * * [misc]progress: [ 102 / 127 ] simplifiying candidate # 1538300274.554 * [enter]simplify: Simplifying (/ 1 1) 1538300274.554 * * [misc]simplify: iters left: 2 (2 enodes) 1538300274.554 * * [misc]simplify: iters left: 1 (4 enodes) 1538300274.555 * [exit]simplify: Simplified to 1 1538300274.555 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300274.555 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300274.555 * * [misc]simplify: iters left: 6 (10 enodes) 1538300274.557 * * [misc]simplify: iters left: 5 (13 enodes) 1538300274.559 * * [misc]simplify: iters left: 4 (16 enodes) 1538300274.562 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300274.562 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300274.562 * * * * [misc]progress: [ 103 / 127 ] simplifiying candidate # 1538300274.562 * * * * [misc]progress: [ 104 / 127 ] simplifiying candidate # 1538300274.562 * * * * [misc]progress: [ 105 / 127 ] simplifiying candidate # 1538300274.562 * * * * [misc]progress: [ 106 / 127 ] simplifiying candidate # 1538300274.562 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1538300274.563 * * [misc]simplify: iters left: 2 (3 enodes) 1538300274.563 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1538300274.563 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))) 1538300274.563 * * * * [misc]progress: [ 107 / 127 ] simplifiying candidate # 1538300274.564 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538300274.564 * * [misc]simplify: iters left: 2 (3 enodes) 1538300274.565 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538300274.565 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1538300274.565 * * * * [misc]progress: [ 108 / 127 ] simplifiying candidate # 1538300274.565 * [enter]simplify: Simplifying (sqrt k) 1538300274.565 * * [misc]simplify: iters left: 1 (2 enodes) 1538300274.566 * [exit]simplify: Simplified to (sqrt k) 1538300274.566 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k))))) 1538300274.566 * * * * [misc]progress: [ 109 / 127 ] simplifiying candidate # 1538300274.566 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1538300274.566 * * [misc]simplify: iters left: 3 (5 enodes) 1538300274.568 * * [misc]simplify: iters left: 2 (7 enodes) 1538300274.570 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300274.570 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538300274.570 * * * * [misc]progress: [ 110 / 127 ] simplifiying candidate # 1538300274.571 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1538300274.571 * * [misc]simplify: iters left: 3 (5 enodes) 1538300274.573 * * [misc]simplify: iters left: 2 (7 enodes) 1538300274.575 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300274.575 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538300274.575 * * * * [misc]progress: [ 111 / 127 ] simplifiying candidate # 1538300274.575 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1538300274.576 * * [misc]simplify: iters left: 5 (7 enodes) 1538300274.578 * * [misc]simplify: iters left: 4 (9 enodes) 1538300274.581 * * [misc]simplify: iters left: 3 (12 enodes) 1538300274.584 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538300274.584 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1538300274.584 * * * * [misc]progress: [ 112 / 127 ] simplifiying candidate # 1538300274.584 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300274.585 * * [misc]simplify: iters left: 6 (10 enodes) 1538300274.589 * * [misc]simplify: iters left: 5 (13 enodes) 1538300274.593 * * [misc]simplify: iters left: 4 (16 enodes) 1538300274.597 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300274.597 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1538300274.597 * * * * [misc]progress: [ 113 / 127 ] simplifiying candidate # 1538300274.597 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300274.597 * * [misc]simplify: iters left: 6 (9 enodes) 1538300274.599 * * [misc]simplify: iters left: 5 (12 enodes) 1538300274.601 * * [misc]simplify: iters left: 4 (15 enodes) 1538300274.604 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300274.604 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1538300274.604 * * * * [misc]progress: [ 114 / 127 ] simplifiying candidate # 1538300274.604 * * * * [misc]progress: [ 115 / 127 ] simplifiying candidate # 1538300274.604 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1538300274.604 * * [misc]simplify: iters left: 3 (5 enodes) 1538300274.605 * * [misc]simplify: iters left: 2 (7 enodes) 1538300274.607 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300274.607 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2))))))) 1538300274.607 * * * * [misc]progress: [ 116 / 127 ] simplifiying candidate # 1538300274.607 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1538300274.608 * * [misc]simplify: iters left: 6 (18 enodes) 1538300274.613 * * [misc]simplify: iters left: 5 (39 enodes) 1538300274.633 * * [misc]simplify: iters left: 4 (110 enodes) 1538300274.706 * * [misc]simplify: iters left: 3 (321 enodes) 1538300275.070 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1538300275.070 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300275.070 * * * * [misc]progress: [ 117 / 127 ] simplifiying candidate # 1538300275.070 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538300275.071 * * [misc]simplify: iters left: 5 (6 enodes) 1538300275.072 * * [misc]simplify: iters left: 4 (9 enodes) 1538300275.076 * * [misc]simplify: iters left: 3 (17 enodes) 1538300275.083 * * [misc]simplify: iters left: 2 (24 enodes) 1538300275.089 * * [misc]simplify: iters left: 1 (28 enodes) 1538300275.103 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1538300275.103 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (fma k -1/2 1/2)) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300275.103 * * * * [misc]progress: [ 118 / 127 ] simplifiying candidate # 1538300275.103 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538300275.103 * * [misc]simplify: iters left: 5 (6 enodes) 1538300275.105 * * [misc]simplify: iters left: 4 (9 enodes) 1538300275.107 * * [misc]simplify: iters left: 3 (17 enodes) 1538300275.110 * * [misc]simplify: iters left: 2 (24 enodes) 1538300275.113 * * [misc]simplify: iters left: 1 (28 enodes) 1538300275.121 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1538300275.121 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (fma k -1/2 1/2)) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300275.121 * * * * [misc]progress: [ 119 / 127 ] simplifiying candidate # 1538300275.121 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300275.121 * * [misc]simplify: iters left: 4 (5 enodes) 1538300275.123 * * [misc]simplify: iters left: 3 (9 enodes) 1538300275.125 * * [misc]simplify: iters left: 2 (15 enodes) 1538300275.127 * * [misc]simplify: iters left: 1 (17 enodes) 1538300275.133 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300275.133 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300275.133 * * * * [misc]progress: [ 120 / 127 ] simplifiying candidate # 1538300275.133 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300275.133 * * [misc]simplify: iters left: 4 (5 enodes) 1538300275.136 * * [misc]simplify: iters left: 3 (9 enodes) 1538300275.140 * * [misc]simplify: iters left: 2 (15 enodes) 1538300275.146 * * [misc]simplify: iters left: 1 (17 enodes) 1538300275.151 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300275.151 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300275.151 * * * * [misc]progress: [ 121 / 127 ] simplifiying candidate # 1538300275.152 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538300275.154 * * [misc]simplify: iters left: 4 (5 enodes) 1538300275.157 * * [misc]simplify: iters left: 3 (9 enodes) 1538300275.161 * * [misc]simplify: iters left: 2 (15 enodes) 1538300275.166 * * [misc]simplify: iters left: 1 (17 enodes) 1538300275.169 * [exit]simplify: Simplified to (* (* PI n) 2) 1538300275.169 * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300275.169 * * * * [misc]progress: [ 122 / 127 ] simplifiying candidate # 1538300275.170 * [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)))))))))))))))))))))) 1538300275.170 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (* (sqrt +nan.0) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300275.170 * * * * [misc]progress: [ 123 / 127 ] simplifiying candidate # 1538300275.170 * [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)))))))) 1538300275.170 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (* (sqrt +nan.0) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300275.170 * * * * [misc]progress: [ 124 / 127 ] simplifiying candidate # 1538300275.170 * [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))))))))))) 1538300275.170 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (* (sqrt +nan.0) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300275.170 * * * * [misc]progress: [ 125 / 127 ] simplifiying candidate # 1538300275.170 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1538300275.170 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt +nan.0))) 1538300275.170 * * * * [misc]progress: [ 126 / 127 ] simplifiying candidate # 1538300275.171 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538300275.171 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt +nan.0))) 1538300275.171 * * * * [misc]progress: [ 127 / 127 ] simplifiying candidate # 1538300275.171 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1538300275.171 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt +nan.0))) 1538300275.171 * * * [misc]progress: adding candidates to table 1538300280.057 * * [misc]progress: iteration 4 / 4 1538300280.057 * * * [misc]progress: picking best candidate 1538300280.207 * * * * [misc]pick: Picked # 1538300280.207 * * * [misc]progress: localizing error 1538300280.242 * * * [misc]progress: generating rewritten candidates 1538300280.242 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 1) 1538300280.265 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1538300280.285 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1538300280.328 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2) 1538300280.370 * * * [misc]progress: generating series expansions 1538300280.370 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 1) 1538300280.370 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1538300280.370 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1538300280.370 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538300280.370 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538300280.370 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538300280.370 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300280.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.371 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300280.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.371 * [misc]taylor: Taking taylor expansion of k in k 1538300280.371 * [misc]backup-simplify: Simplify 0 into 0 1538300280.371 * [misc]backup-simplify: Simplify 1 into 1 1538300280.371 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.371 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.371 * [misc]backup-simplify: Simplify PI into PI 1538300280.371 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.371 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300280.371 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.371 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.372 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300280.372 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538300280.372 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538300280.372 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538300280.372 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538300280.372 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300280.372 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.372 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300280.372 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.372 * [misc]taylor: Taking taylor expansion of k in k 1538300280.372 * [misc]backup-simplify: Simplify 0 into 0 1538300280.372 * [misc]backup-simplify: Simplify 1 into 1 1538300280.373 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.373 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.373 * [misc]backup-simplify: Simplify PI into PI 1538300280.373 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.373 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300280.373 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.373 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.373 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300280.374 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538300280.374 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1538300280.376 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538300280.376 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300280.376 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.376 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.377 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538300280.379 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538300280.380 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1538300280.383 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538300280.383 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300280.383 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.383 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.384 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538300280.387 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538300280.389 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538300280.391 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1538300280.392 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.392 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1538300280.392 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300280.392 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538300280.392 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538300280.392 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300280.392 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.392 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.392 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.392 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.392 * [misc]taylor: Taking taylor expansion of k in k 1538300280.392 * [misc]backup-simplify: Simplify 0 into 0 1538300280.392 * [misc]backup-simplify: Simplify 1 into 1 1538300280.392 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.392 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.392 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.392 * [misc]backup-simplify: Simplify PI into PI 1538300280.392 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.392 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.392 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.392 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.393 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538300280.393 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.393 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300280.393 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538300280.393 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538300280.393 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300280.393 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.393 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.393 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.393 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.393 * [misc]taylor: Taking taylor expansion of k in k 1538300280.393 * [misc]backup-simplify: Simplify 0 into 0 1538300280.393 * [misc]backup-simplify: Simplify 1 into 1 1538300280.393 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.393 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.393 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.394 * [misc]backup-simplify: Simplify PI into PI 1538300280.394 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.394 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.394 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.394 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.394 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538300280.395 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.395 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.395 * [misc]backup-simplify: Simplify 0 into 0 1538300280.395 * [misc]backup-simplify: Simplify 0 into 0 1538300280.395 * [misc]backup-simplify: Simplify 0 into 0 1538300280.395 * [misc]backup-simplify: Simplify 0 into 0 1538300280.395 * [misc]backup-simplify: Simplify 0 into 0 1538300280.395 * [misc]backup-simplify: Simplify 0 into 0 1538300280.395 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1538300280.395 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.395 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1538300280.395 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300280.395 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538300280.395 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538300280.395 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300280.395 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.395 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.395 * [misc]taylor: Taking taylor expansion of k in k 1538300280.395 * [misc]backup-simplify: Simplify 0 into 0 1538300280.395 * [misc]backup-simplify: Simplify 1 into 1 1538300280.395 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.396 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.396 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.396 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.396 * [misc]backup-simplify: Simplify PI into PI 1538300280.396 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.396 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.396 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.396 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300280.397 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.397 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300280.397 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538300280.397 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538300280.397 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300280.397 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.397 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.397 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.397 * [misc]taylor: Taking taylor expansion of k in k 1538300280.397 * [misc]backup-simplify: Simplify 0 into 0 1538300280.397 * [misc]backup-simplify: Simplify 1 into 1 1538300280.397 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.397 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.397 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.397 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.397 * [misc]backup-simplify: Simplify PI into PI 1538300280.397 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.397 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.397 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.398 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300280.398 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.398 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.398 * [misc]backup-simplify: Simplify 0 into 0 1538300280.398 * [misc]backup-simplify: Simplify 0 into 0 1538300280.398 * [misc]backup-simplify: Simplify 0 into 0 1538300280.398 * [misc]backup-simplify: Simplify 0 into 0 1538300280.398 * [misc]backup-simplify: Simplify 0 into 0 1538300280.398 * [misc]backup-simplify: Simplify 0 into 0 1538300280.398 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1538300280.398 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1) 1538300280.399 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1538300280.399 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1538300280.399 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538300280.399 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538300280.399 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538300280.399 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300280.399 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.399 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300280.399 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.399 * [misc]taylor: Taking taylor expansion of k in k 1538300280.399 * [misc]backup-simplify: Simplify 0 into 0 1538300280.399 * [misc]backup-simplify: Simplify 1 into 1 1538300280.399 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.399 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.399 * [misc]backup-simplify: Simplify PI into PI 1538300280.399 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.399 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300280.399 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.400 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.400 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300280.400 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538300280.400 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538300280.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538300280.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538300280.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300280.400 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.401 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300280.401 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.401 * [misc]taylor: Taking taylor expansion of k in k 1538300280.401 * [misc]backup-simplify: Simplify 0 into 0 1538300280.401 * [misc]backup-simplify: Simplify 1 into 1 1538300280.401 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.401 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.401 * [misc]backup-simplify: Simplify PI into PI 1538300280.401 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.401 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300280.401 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.401 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.401 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300280.402 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538300280.402 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1538300280.404 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538300280.405 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300280.405 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.405 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.406 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538300280.410 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538300280.411 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1538300280.417 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538300280.417 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300280.417 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.417 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.419 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538300280.424 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538300280.426 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538300280.430 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1538300280.431 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.431 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1538300280.431 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300280.431 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538300280.431 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538300280.431 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300280.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.431 * [misc]taylor: Taking taylor expansion of k in k 1538300280.431 * [misc]backup-simplify: Simplify 0 into 0 1538300280.431 * [misc]backup-simplify: Simplify 1 into 1 1538300280.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.431 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.431 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.431 * [misc]backup-simplify: Simplify PI into PI 1538300280.432 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.432 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.432 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.432 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.433 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538300280.433 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.433 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300280.433 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538300280.433 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538300280.433 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300280.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.433 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.433 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.433 * [misc]taylor: Taking taylor expansion of k in k 1538300280.433 * [misc]backup-simplify: Simplify 0 into 0 1538300280.433 * [misc]backup-simplify: Simplify 1 into 1 1538300280.434 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.434 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.434 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.434 * [misc]backup-simplify: Simplify PI into PI 1538300280.434 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.434 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.434 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.434 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.435 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538300280.435 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.436 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.436 * [misc]backup-simplify: Simplify 0 into 0 1538300280.436 * [misc]backup-simplify: Simplify 0 into 0 1538300280.436 * [misc]backup-simplify: Simplify 0 into 0 1538300280.436 * [misc]backup-simplify: Simplify 0 into 0 1538300280.436 * [misc]backup-simplify: Simplify 0 into 0 1538300280.436 * [misc]backup-simplify: Simplify 0 into 0 1538300280.436 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1538300280.436 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.436 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1538300280.436 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300280.436 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538300280.437 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538300280.437 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300280.437 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.437 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.437 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.437 * [misc]taylor: Taking taylor expansion of k in k 1538300280.437 * [misc]backup-simplify: Simplify 0 into 0 1538300280.437 * [misc]backup-simplify: Simplify 1 into 1 1538300280.437 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.437 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.437 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.437 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.437 * [misc]backup-simplify: Simplify PI into PI 1538300280.437 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.438 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.438 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.438 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300280.439 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.439 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300280.439 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538300280.439 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538300280.439 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300280.439 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.439 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.439 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.439 * [misc]taylor: Taking taylor expansion of k in k 1538300280.439 * [misc]backup-simplify: Simplify 0 into 0 1538300280.439 * [misc]backup-simplify: Simplify 1 into 1 1538300280.439 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.439 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.439 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538300280.439 * [misc]taylor: Taking taylor expansion of PI in k 1538300280.439 * [misc]backup-simplify: Simplify PI into PI 1538300280.440 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538300280.440 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.440 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.440 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538300280.441 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.441 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.441 * [misc]backup-simplify: Simplify 0 into 0 1538300280.441 * [misc]backup-simplify: Simplify 0 into 0 1538300280.441 * [misc]backup-simplify: Simplify 0 into 0 1538300280.441 * [misc]backup-simplify: Simplify 0 into 0 1538300280.441 * [misc]backup-simplify: Simplify 0 into 0 1538300280.441 * [misc]backup-simplify: Simplify 0 into 0 1538300280.442 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1538300280.442 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1538300280.442 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1538300280.442 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1538300280.442 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1538300280.442 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538300280.442 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538300280.442 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538300280.442 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300280.442 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.442 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300280.442 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.443 * [misc]taylor: Taking taylor expansion of k in k 1538300280.443 * [misc]backup-simplify: Simplify 0 into 0 1538300280.443 * [misc]backup-simplify: Simplify 1 into 1 1538300280.443 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538300280.443 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538300280.443 * [misc]taylor: Taking taylor expansion of 2 in k 1538300280.443 * [misc]backup-simplify: Simplify 2 into 2 1538300280.443 * [misc]taylor: Taking taylor expansion of n in k 1538300280.443 * [misc]backup-simplify: Simplify n into n 1538300280.443 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538300280.443 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538300280.443 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300280.443 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.443 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.444 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538300280.444 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538300280.444 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300280.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.444 * [misc]taylor: Taking taylor expansion of k in k 1538300280.444 * [misc]backup-simplify: Simplify 0 into 0 1538300280.444 * [misc]backup-simplify: Simplify 1 into 1 1538300280.444 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.444 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.444 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.445 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1538300280.445 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538300280.445 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538300280.445 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538300280.445 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300280.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.445 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300280.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.445 * [misc]taylor: Taking taylor expansion of k in n 1538300280.445 * [misc]backup-simplify: Simplify k into k 1538300280.445 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538300280.445 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538300280.445 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.445 * [misc]backup-simplify: Simplify 2 into 2 1538300280.445 * [misc]taylor: Taking taylor expansion of n in n 1538300280.445 * [misc]backup-simplify: Simplify 0 into 0 1538300280.445 * [misc]backup-simplify: Simplify 1 into 1 1538300280.445 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300280.445 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538300280.446 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.446 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300280.446 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300280.446 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300280.446 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300280.447 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538300280.447 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538300280.447 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300280.447 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.447 * [misc]taylor: Taking taylor expansion of k in n 1538300280.447 * [misc]backup-simplify: Simplify k into k 1538300280.447 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.447 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300280.447 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300280.447 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300280.447 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1538300280.447 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538300280.447 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538300280.448 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538300280.448 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300280.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.448 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300280.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.448 * [misc]taylor: Taking taylor expansion of k in n 1538300280.448 * [misc]backup-simplify: Simplify k into k 1538300280.448 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538300280.448 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538300280.448 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.448 * [misc]backup-simplify: Simplify 2 into 2 1538300280.448 * [misc]taylor: Taking taylor expansion of n in n 1538300280.448 * [misc]backup-simplify: Simplify 0 into 0 1538300280.448 * [misc]backup-simplify: Simplify 1 into 1 1538300280.448 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300280.448 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538300280.449 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.449 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300280.449 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300280.449 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300280.449 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300280.449 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538300280.450 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538300280.450 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300280.450 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.450 * [misc]taylor: Taking taylor expansion of k in n 1538300280.450 * [misc]backup-simplify: Simplify k into k 1538300280.450 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.450 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300280.450 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300280.450 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300280.451 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1538300280.451 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538300280.451 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1538300280.451 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1538300280.451 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538300280.451 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538300280.451 * [misc]taylor: Taking taylor expansion of 2 in k 1538300280.451 * [misc]backup-simplify: Simplify 2 into 2 1538300280.451 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.451 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300280.451 * [misc]taylor: Taking taylor expansion of n in k 1538300280.451 * [misc]backup-simplify: Simplify n into n 1538300280.451 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300280.451 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300280.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.451 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300280.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.452 * [misc]taylor: Taking taylor expansion of k in k 1538300280.452 * [misc]backup-simplify: Simplify 0 into 0 1538300280.452 * [misc]backup-simplify: Simplify 1 into 1 1538300280.452 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538300280.452 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300280.452 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.452 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.452 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1538300280.453 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538300280.453 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300280.453 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.453 * [misc]taylor: Taking taylor expansion of k in k 1538300280.453 * [misc]backup-simplify: Simplify 0 into 0 1538300280.453 * [misc]backup-simplify: Simplify 1 into 1 1538300280.453 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.453 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.454 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.454 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1538300280.454 * [misc]backup-simplify: Simplify 0 into 0 1538300280.454 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538300280.457 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538300280.457 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538300280.457 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.458 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.458 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300280.458 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538300280.460 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300280.460 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1538300280.460 * [misc]taylor: Taking taylor expansion of 0 in k 1538300280.460 * [misc]backup-simplify: Simplify 0 into 0 1538300280.461 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300280.461 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.461 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.464 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538300280.464 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538300280.465 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.465 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538300280.465 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1538300280.466 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1538300280.466 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1538300280.466 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300280.467 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1538300280.467 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538300280.470 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538300280.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538300280.470 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.470 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.471 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300280.471 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538300280.472 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538300280.473 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1538300280.473 * [misc]taylor: Taking taylor expansion of 0 in k 1538300280.473 * [misc]backup-simplify: Simplify 0 into 0 1538300280.473 * [misc]backup-simplify: Simplify 0 into 0 1538300280.473 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538300280.473 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300280.474 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300280.474 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.476 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538300280.477 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538300280.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.478 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1538300280.479 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1538300280.485 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1538300280.485 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1538300280.486 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300280.486 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1538300280.486 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538300280.490 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538300280.491 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538300280.491 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.491 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.491 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300280.491 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1538300280.494 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538300280.494 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1538300280.494 * [misc]taylor: Taking taylor expansion of 0 in k 1538300280.494 * [misc]backup-simplify: Simplify 0 into 0 1538300280.494 * [misc]backup-simplify: Simplify 0 into 0 1538300280.494 * [misc]backup-simplify: Simplify 0 into 0 1538300280.494 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300280.495 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300280.496 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538300280.496 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.496 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.500 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538300280.502 * [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 1538300280.502 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.503 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1538300280.506 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1538300280.514 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1538300280.521 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1538300280.531 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1538300280.531 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1538300280.531 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1538300280.531 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1538300280.531 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300280.531 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538300280.532 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538300280.532 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300280.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.532 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.532 * [misc]taylor: Taking taylor expansion of k in k 1538300280.532 * [misc]backup-simplify: Simplify 0 into 0 1538300280.532 * [misc]backup-simplify: Simplify 1 into 1 1538300280.532 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.532 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538300280.532 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538300280.532 * [misc]taylor: Taking taylor expansion of 2 in k 1538300280.532 * [misc]backup-simplify: Simplify 2 into 2 1538300280.532 * [misc]taylor: Taking taylor expansion of n in k 1538300280.532 * [misc]backup-simplify: Simplify n into n 1538300280.532 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538300280.532 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538300280.532 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.532 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.532 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.532 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538300280.533 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.533 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300280.533 * [misc]taylor: Taking taylor expansion of k in k 1538300280.533 * [misc]backup-simplify: Simplify 0 into 0 1538300280.533 * [misc]backup-simplify: Simplify 1 into 1 1538300280.533 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.533 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.533 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1538300280.533 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300280.533 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538300280.533 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538300280.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300280.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.533 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.533 * [misc]taylor: Taking taylor expansion of k in n 1538300280.533 * [misc]backup-simplify: Simplify k into k 1538300280.533 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.533 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538300280.533 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538300280.533 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.533 * [misc]backup-simplify: Simplify 2 into 2 1538300280.533 * [misc]taylor: Taking taylor expansion of n in n 1538300280.533 * [misc]backup-simplify: Simplify 0 into 0 1538300280.533 * [misc]backup-simplify: Simplify 1 into 1 1538300280.534 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538300280.534 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.534 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.534 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300280.534 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300280.534 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.534 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538300280.535 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300280.535 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of k in n 1538300280.535 * [misc]backup-simplify: Simplify k into k 1538300280.535 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300280.535 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300280.535 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.535 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.535 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of k in n 1538300280.535 * [misc]backup-simplify: Simplify k into k 1538300280.535 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.535 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538300280.535 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.535 * [misc]backup-simplify: Simplify 2 into 2 1538300280.535 * [misc]taylor: Taking taylor expansion of n in n 1538300280.535 * [misc]backup-simplify: Simplify 0 into 0 1538300280.535 * [misc]backup-simplify: Simplify 1 into 1 1538300280.535 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538300280.535 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.535 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.535 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300280.535 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300280.536 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.536 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538300280.536 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300280.536 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300280.536 * [misc]taylor: Taking taylor expansion of k in n 1538300280.536 * [misc]backup-simplify: Simplify k into k 1538300280.536 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300280.536 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300280.536 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538300280.537 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1538300280.537 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300280.537 * [misc]taylor: Taking taylor expansion of k in k 1538300280.537 * [misc]backup-simplify: Simplify 0 into 0 1538300280.537 * [misc]backup-simplify: Simplify 1 into 1 1538300280.537 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.537 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.537 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1538300280.537 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1538300280.537 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300280.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.537 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.537 * [misc]taylor: Taking taylor expansion of k in k 1538300280.537 * [misc]backup-simplify: Simplify 0 into 0 1538300280.537 * [misc]backup-simplify: Simplify 1 into 1 1538300280.537 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.537 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538300280.537 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538300280.537 * [misc]taylor: Taking taylor expansion of 2 in k 1538300280.537 * [misc]backup-simplify: Simplify 2 into 2 1538300280.538 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.538 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300280.538 * [misc]taylor: Taking taylor expansion of n in k 1538300280.538 * [misc]backup-simplify: Simplify n into n 1538300280.538 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300280.538 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.538 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.538 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.538 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300280.538 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538300280.538 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538300280.538 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300280.539 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1538300280.539 * [misc]backup-simplify: Simplify 0 into 0 1538300280.539 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538300280.541 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538300280.541 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300280.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300280.541 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.541 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.542 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538300280.542 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300280.543 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1538300280.543 * [misc]taylor: Taking taylor expansion of 0 in k 1538300280.543 * [misc]backup-simplify: Simplify 0 into 0 1538300280.543 * [misc]backup-simplify: Simplify 0 into 0 1538300280.543 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300280.543 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300280.544 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1538300280.544 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300280.547 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538300280.547 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300280.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300280.547 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.548 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.548 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538300280.549 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538300280.549 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1538300280.550 * [misc]taylor: Taking taylor expansion of 0 in k 1538300280.550 * [misc]backup-simplify: Simplify 0 into 0 1538300280.550 * [misc]backup-simplify: Simplify 0 into 0 1538300280.550 * [misc]backup-simplify: Simplify 0 into 0 1538300280.550 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300280.551 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300280.551 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300280.551 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1538300280.551 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300280.556 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538300280.556 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300280.556 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538300280.556 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.556 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.557 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.557 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538300280.559 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538300280.560 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1538300280.560 * [misc]taylor: Taking taylor expansion of 0 in k 1538300280.560 * [misc]backup-simplify: Simplify 0 into 0 1538300280.560 * [misc]backup-simplify: Simplify 0 into 0 1538300280.560 * [misc]backup-simplify: Simplify 0 into 0 1538300280.560 * [misc]backup-simplify: Simplify 0 into 0 1538300280.560 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300280.561 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300280.561 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538300280.562 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538300280.563 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1538300280.563 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1538300280.563 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1538300280.563 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300280.563 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538300280.563 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538300280.563 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300280.563 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.563 * [misc]taylor: Taking taylor expansion of k in k 1538300280.563 * [misc]backup-simplify: Simplify 0 into 0 1538300280.563 * [misc]backup-simplify: Simplify 1 into 1 1538300280.563 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.563 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538300280.563 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538300280.563 * [misc]taylor: Taking taylor expansion of -2 in k 1538300280.563 * [misc]backup-simplify: Simplify -2 into -2 1538300280.563 * [misc]taylor: Taking taylor expansion of n in k 1538300280.563 * [misc]backup-simplify: Simplify n into n 1538300280.563 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538300280.563 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538300280.563 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.563 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.563 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538300280.564 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.564 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300280.564 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300280.564 * [misc]taylor: Taking taylor expansion of -1 in k 1538300280.564 * [misc]backup-simplify: Simplify -1 into -1 1538300280.564 * [misc]taylor: Taking taylor expansion of k in k 1538300280.564 * [misc]backup-simplify: Simplify 0 into 0 1538300280.564 * [misc]backup-simplify: Simplify 1 into 1 1538300280.564 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300280.564 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.564 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300280.564 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538300280.564 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300280.564 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300280.564 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538300280.564 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538300280.564 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300280.564 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.564 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.565 * [misc]taylor: Taking taylor expansion of k in n 1538300280.565 * [misc]backup-simplify: Simplify k into k 1538300280.565 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.565 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538300280.565 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538300280.565 * [misc]taylor: Taking taylor expansion of -2 in n 1538300280.565 * [misc]backup-simplify: Simplify -2 into -2 1538300280.565 * [misc]taylor: Taking taylor expansion of n in n 1538300280.565 * [misc]backup-simplify: Simplify 0 into 0 1538300280.565 * [misc]backup-simplify: Simplify 1 into 1 1538300280.565 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538300280.565 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300280.565 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.565 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300280.565 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300280.565 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538300280.566 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300280.566 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300280.566 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300280.566 * [misc]taylor: Taking taylor expansion of -1 in n 1538300280.566 * [misc]backup-simplify: Simplify -1 into -1 1538300280.566 * [misc]taylor: Taking taylor expansion of k in n 1538300280.566 * [misc]backup-simplify: Simplify k into k 1538300280.566 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300280.566 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300280.566 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300280.566 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300280.566 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1538300280.566 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538300280.566 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300280.566 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538300280.566 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538300280.566 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300280.566 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.566 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.566 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.566 * [misc]taylor: Taking taylor expansion of k in n 1538300280.566 * [misc]backup-simplify: Simplify k into k 1538300280.566 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.567 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.567 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538300280.567 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538300280.567 * [misc]taylor: Taking taylor expansion of -2 in n 1538300280.567 * [misc]backup-simplify: Simplify -2 into -2 1538300280.567 * [misc]taylor: Taking taylor expansion of n in n 1538300280.567 * [misc]backup-simplify: Simplify 0 into 0 1538300280.567 * [misc]backup-simplify: Simplify 1 into 1 1538300280.567 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538300280.567 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300280.567 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.567 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300280.567 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300280.567 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538300280.568 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300280.568 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300280.568 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300280.568 * [misc]taylor: Taking taylor expansion of -1 in n 1538300280.568 * [misc]backup-simplify: Simplify -1 into -1 1538300280.568 * [misc]taylor: Taking taylor expansion of k in n 1538300280.568 * [misc]backup-simplify: Simplify k into k 1538300280.568 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300280.568 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300280.568 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300280.568 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300280.568 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1538300280.568 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1538300280.568 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1538300280.568 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1538300280.568 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300280.568 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.568 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.568 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.568 * [misc]taylor: Taking taylor expansion of k in k 1538300280.568 * [misc]backup-simplify: Simplify 0 into 0 1538300280.568 * [misc]backup-simplify: Simplify 1 into 1 1538300280.569 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.569 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538300280.569 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538300280.569 * [misc]taylor: Taking taylor expansion of -2 in k 1538300280.569 * [misc]backup-simplify: Simplify -2 into -2 1538300280.569 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300280.569 * [misc]taylor: Taking taylor expansion of (log n) in k 1538300280.569 * [misc]taylor: Taking taylor expansion of n in k 1538300280.569 * [misc]backup-simplify: Simplify n into n 1538300280.569 * [misc]backup-simplify: Simplify (log n) into (log n) 1538300280.569 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.569 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.569 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538300280.569 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538300280.569 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538300280.570 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300280.570 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300280.570 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300280.570 * [misc]taylor: Taking taylor expansion of -1 in k 1538300280.570 * [misc]backup-simplify: Simplify -1 into -1 1538300280.570 * [misc]taylor: Taking taylor expansion of k in k 1538300280.570 * [misc]backup-simplify: Simplify 0 into 0 1538300280.570 * [misc]backup-simplify: Simplify 1 into 1 1538300280.570 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300280.570 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.570 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300280.570 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300280.571 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300280.571 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538300280.573 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538300280.573 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300280.573 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300280.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300280.574 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538300280.575 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300280.575 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1538300280.575 * [misc]taylor: Taking taylor expansion of 0 in k 1538300280.575 * [misc]backup-simplify: Simplify 0 into 0 1538300280.575 * [misc]backup-simplify: Simplify 0 into 0 1538300280.575 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538300280.576 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300280.577 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1538300280.577 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1538300280.577 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300280.582 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538300280.582 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300280.583 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538300280.583 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.583 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300280.583 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538300280.584 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538300280.585 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538300280.585 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1538300280.585 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1538300280.585 * [misc]taylor: Taking taylor expansion of 0 in k 1538300280.585 * [misc]backup-simplify: Simplify 0 into 0 1538300280.586 * [misc]backup-simplify: Simplify 0 into 0 1538300280.586 * [misc]backup-simplify: Simplify 0 into 0 1538300280.586 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300280.586 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300280.587 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1538300280.588 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1538300280.589 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1538300280.589 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2) 1538300280.589 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1538300280.589 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1538300280.589 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1538300280.589 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1538300280.589 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538300280.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538300280.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538300280.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538300280.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.589 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538300280.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.589 * [misc]taylor: Taking taylor expansion of k in n 1538300280.589 * [misc]backup-simplify: Simplify k into k 1538300280.589 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538300280.590 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538300280.590 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.590 * [misc]backup-simplify: Simplify 2 into 2 1538300280.590 * [misc]taylor: Taking taylor expansion of n in n 1538300280.590 * [misc]backup-simplify: Simplify 0 into 0 1538300280.590 * [misc]backup-simplify: Simplify 1 into 1 1538300280.590 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300280.590 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538300280.590 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.590 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538300280.590 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538300280.590 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538300280.590 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300280.591 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538300280.591 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538300280.591 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1538300280.591 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538300280.591 * [misc]taylor: Taking taylor expansion of k in n 1538300280.591 * [misc]backup-simplify: Simplify k into k 1538300280.591 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538300280.591 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538300280.591 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538300280.591 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538300280.591 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538300280.591 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538300280.591 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538300280.591 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300280.591 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.591 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300280.591 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.591 * [misc]taylor: Taking taylor expansion of k in k 1538300280.591 * [misc]backup-simplify: Simplify 0 into 0 1538300280.591 * [misc]backup-simplify: Simplify 1 into 1 1538300280.591 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538300280.591 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538300280.591 * [misc]taylor: Taking taylor expansion of 2 in k 1538300280.591 * [misc]backup-simplify: Simplify 2 into 2 1538300280.591 * [misc]taylor: Taking taylor expansion of n in k 1538300280.591 * [misc]backup-simplify: Simplify n into n 1538300280.591 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538300280.591 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538300280.592 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300280.592 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.592 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.592 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538300280.592 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538300280.592 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538300280.592 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300280.592 * [misc]taylor: Taking taylor expansion of k in k 1538300280.592 * [misc]backup-simplify: Simplify 0 into 0 1538300280.592 * [misc]backup-simplify: Simplify 1 into 1 1538300280.592 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.593 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.593 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538300280.593 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538300280.593 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538300280.593 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538300280.593 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538300280.593 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538300280.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.593 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538300280.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.593 * [misc]taylor: Taking taylor expansion of k in k 1538300280.593 * [misc]backup-simplify: Simplify 0 into 0 1538300280.593 * [misc]backup-simplify: Simplify 1 into 1 1538300280.593 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538300280.593 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538300280.593 * [misc]taylor: Taking taylor expansion of 2 in k 1538300280.593 * [misc]backup-simplify: Simplify 2 into 2 1538300280.593 * [misc]taylor: Taking taylor expansion of n in k 1538300280.593 * [misc]backup-simplify: Simplify n into n 1538300280.593 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538300280.593 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538300280.593 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538300280.593 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.593 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.593 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538300280.594 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538300280.594 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538300280.594 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538300280.594 * [misc]taylor: Taking taylor expansion of k in k 1538300280.594 * [misc]backup-simplify: Simplify 0 into 0 1538300280.594 * [misc]backup-simplify: Simplify 1 into 1 1538300280.594 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.594 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.594 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1538300280.594 * [misc]taylor: Taking taylor expansion of 0 in n 1538300280.594 * [misc]backup-simplify: Simplify 0 into 0 1538300280.594 * [misc]backup-simplify: Simplify 0 into 0 1538300280.595 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538300280.595 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538300280.595 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538300280.596 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.596 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.596 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538300280.596 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1538300280.597 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1538300280.598 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1538300280.598 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538300280.598 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538300280.599 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538300280.599 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538300280.599 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538300280.599 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538300280.599 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538300280.599 * [misc]taylor: Taking taylor expansion of n in n 1538300280.599 * [misc]backup-simplify: Simplify 0 into 0 1538300280.599 * [misc]backup-simplify: Simplify 1 into 1 1538300280.599 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.599 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.599 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.599 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538300280.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.599 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538300280.599 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538300280.600 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538300280.600 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538300280.601 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538300280.601 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538300280.601 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538300280.601 * [misc]backup-simplify: Simplify 0 into 0 1538300280.602 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300280.602 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538300280.604 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1538300280.604 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538300280.604 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.605 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538300280.607 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1538300280.617 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1538300280.628 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1538300280.629 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1538300280.629 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1538300280.629 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1538300280.629 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538300280.629 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538300280.629 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1538300280.629 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1538300280.629 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538300280.629 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.629 * [misc]backup-simplify: Simplify 2 into 2 1538300280.629 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538300280.629 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538300280.629 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1538300280.630 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538300280.630 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538300280.630 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.630 * [misc]backup-simplify: Simplify 2 into 2 1538300280.630 * [misc]taylor: Taking taylor expansion of n in n 1538300280.630 * [misc]backup-simplify: Simplify 0 into 0 1538300280.630 * [misc]backup-simplify: Simplify 1 into 1 1538300280.630 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538300280.630 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538300280.630 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.630 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1538300280.630 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538300280.630 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.630 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.631 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538300280.631 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538300280.631 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538300280.631 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538300280.631 * [misc]taylor: Taking taylor expansion of n in n 1538300280.631 * [misc]backup-simplify: Simplify 0 into 0 1538300280.631 * [misc]backup-simplify: Simplify 1 into 1 1538300280.631 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.631 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.632 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.632 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538300280.632 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538300280.632 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538300280.632 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538300280.632 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538300280.632 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538300280.632 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538300280.632 * [misc]taylor: Taking taylor expansion of n in n 1538300280.632 * [misc]backup-simplify: Simplify 0 into 0 1538300280.632 * [misc]backup-simplify: Simplify 1 into 1 1538300280.632 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.632 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.633 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.633 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538300280.633 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.633 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538300280.633 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538300280.634 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300280.634 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1538300280.635 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1538300280.636 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1538300280.637 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538300280.637 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1538300280.637 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538300280.640 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538300280.641 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1538300280.642 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1538300280.645 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1538300280.647 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1538300280.654 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1538300280.655 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538300280.655 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538300280.657 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538300280.657 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538300280.665 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1538300280.674 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1538300280.682 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1538300280.684 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1538300280.684 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538300280.685 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300280.686 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538300280.688 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1538300280.689 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538300280.689 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538300280.702 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1538300280.702 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1538300280.702 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1538300280.702 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1538300280.702 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300280.702 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300280.702 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538300280.702 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538300280.702 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300280.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.702 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.703 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.703 * [misc]taylor: Taking taylor expansion of k in n 1538300280.703 * [misc]backup-simplify: Simplify k into k 1538300280.703 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.703 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538300280.703 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538300280.703 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.703 * [misc]backup-simplify: Simplify 2 into 2 1538300280.703 * [misc]taylor: Taking taylor expansion of n in n 1538300280.703 * [misc]backup-simplify: Simplify 0 into 0 1538300280.703 * [misc]backup-simplify: Simplify 1 into 1 1538300280.703 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538300280.703 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.703 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.704 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300280.704 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300280.704 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.704 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538300280.705 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300280.705 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538300280.705 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538300280.705 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.705 * [misc]taylor: Taking taylor expansion of k in n 1538300280.705 * [misc]backup-simplify: Simplify k into k 1538300280.705 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.705 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538300280.705 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300280.706 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538300280.706 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.706 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.706 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of k in k 1538300280.706 * [misc]backup-simplify: Simplify 0 into 0 1538300280.706 * [misc]backup-simplify: Simplify 1 into 1 1538300280.706 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.706 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538300280.706 * [misc]taylor: Taking taylor expansion of 2 in k 1538300280.706 * [misc]backup-simplify: Simplify 2 into 2 1538300280.706 * [misc]taylor: Taking taylor expansion of n in k 1538300280.706 * [misc]backup-simplify: Simplify n into n 1538300280.707 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538300280.707 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538300280.707 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.707 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.707 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.707 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538300280.707 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.708 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1538300280.708 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300280.708 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.708 * [misc]taylor: Taking taylor expansion of k in k 1538300280.708 * [misc]backup-simplify: Simplify 0 into 0 1538300280.708 * [misc]backup-simplify: Simplify 1 into 1 1538300280.708 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.708 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.709 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.709 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.709 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.709 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of k in k 1538300280.709 * [misc]backup-simplify: Simplify 0 into 0 1538300280.709 * [misc]backup-simplify: Simplify 1 into 1 1538300280.709 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.709 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538300280.709 * [misc]taylor: Taking taylor expansion of 2 in k 1538300280.709 * [misc]backup-simplify: Simplify 2 into 2 1538300280.710 * [misc]taylor: Taking taylor expansion of n in k 1538300280.710 * [misc]backup-simplify: Simplify n into n 1538300280.710 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538300280.710 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538300280.710 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.710 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538300280.710 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538300280.710 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538300280.710 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538300280.711 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1538300280.711 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538300280.711 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.711 * [misc]taylor: Taking taylor expansion of k in k 1538300280.711 * [misc]backup-simplify: Simplify 0 into 0 1538300280.711 * [misc]backup-simplify: Simplify 1 into 1 1538300280.711 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.711 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.712 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538300280.712 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538300280.712 * [misc]taylor: Taking taylor expansion of 0 in n 1538300280.712 * [misc]backup-simplify: Simplify 0 into 0 1538300280.712 * [misc]backup-simplify: Simplify 0 into 0 1538300280.712 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538300280.713 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538300280.713 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538300280.713 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538300280.713 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538300280.713 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538300280.713 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300280.713 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300280.713 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538300280.713 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538300280.713 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300280.713 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.713 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.713 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.713 * [misc]taylor: Taking taylor expansion of k in n 1538300280.713 * [misc]backup-simplify: Simplify k into k 1538300280.713 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.713 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538300280.714 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538300280.714 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.714 * [misc]backup-simplify: Simplify 2 into 2 1538300280.714 * [misc]taylor: Taking taylor expansion of n in n 1538300280.714 * [misc]backup-simplify: Simplify 0 into 0 1538300280.714 * [misc]backup-simplify: Simplify 1 into 1 1538300280.714 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538300280.714 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.714 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.714 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300280.714 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300280.715 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.715 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538300280.715 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300280.716 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538300280.716 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538300280.716 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538300280.717 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538300280.717 * [misc]backup-simplify: Simplify 0 into 0 1538300280.717 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538300280.718 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300280.719 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538300280.719 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538300280.720 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538300280.720 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538300280.720 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.720 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.720 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of k in n 1538300280.720 * [misc]backup-simplify: Simplify k into k 1538300280.720 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.720 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538300280.720 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.720 * [misc]backup-simplify: Simplify 2 into 2 1538300280.720 * [misc]taylor: Taking taylor expansion of n in n 1538300280.720 * [misc]backup-simplify: Simplify 0 into 0 1538300280.720 * [misc]backup-simplify: Simplify 1 into 1 1538300280.720 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538300280.721 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.721 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.721 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300280.721 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300280.721 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.722 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538300280.722 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300280.722 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538300280.723 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538300280.723 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538300280.724 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538300280.724 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538300280.730 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538300280.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300280.731 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300280.731 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.731 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.732 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538300280.734 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300280.734 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1538300280.735 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538300280.735 * [misc]backup-simplify: Simplify (- 0) into 0 1538300280.735 * [misc]backup-simplify: Simplify 0 into 0 1538300280.735 * [misc]backup-simplify: Simplify 0 into 0 1538300280.736 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300280.737 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300280.738 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538300280.738 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538300280.738 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538300280.738 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538300280.738 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538300280.738 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538300280.738 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538300280.739 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538300280.739 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538300280.739 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538300280.739 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538300280.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.739 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.739 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.739 * [misc]taylor: Taking taylor expansion of k in n 1538300280.739 * [misc]backup-simplify: Simplify k into k 1538300280.739 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.739 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538300280.739 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538300280.739 * [misc]taylor: Taking taylor expansion of 2 in n 1538300280.739 * [misc]backup-simplify: Simplify 2 into 2 1538300280.739 * [misc]taylor: Taking taylor expansion of n in n 1538300280.739 * [misc]backup-simplify: Simplify 0 into 0 1538300280.739 * [misc]backup-simplify: Simplify 1 into 1 1538300280.739 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538300280.739 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538300280.740 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.740 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538300280.740 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538300280.740 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538300280.741 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538300280.741 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538300280.741 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538300280.742 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538300280.742 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538300280.742 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538300280.744 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1538300280.745 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538300280.745 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1538300280.745 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538300280.745 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538300280.745 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538300280.745 * [misc]taylor: Taking taylor expansion of -1 in n 1538300280.745 * [misc]backup-simplify: Simplify -1 into -1 1538300280.745 * [misc]taylor: Taking taylor expansion of k in n 1538300280.745 * [misc]backup-simplify: Simplify k into k 1538300280.745 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538300280.745 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538300280.745 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538300280.746 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538300280.746 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300280.746 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538300280.746 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538300280.746 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300280.746 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.746 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.746 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.746 * [misc]taylor: Taking taylor expansion of k in n 1538300280.746 * [misc]backup-simplify: Simplify k into k 1538300280.746 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.746 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.746 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538300280.746 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538300280.746 * [misc]taylor: Taking taylor expansion of -2 in n 1538300280.746 * [misc]backup-simplify: Simplify -2 into -2 1538300280.746 * [misc]taylor: Taking taylor expansion of n in n 1538300280.746 * [misc]backup-simplify: Simplify 0 into 0 1538300280.746 * [misc]backup-simplify: Simplify 1 into 1 1538300280.746 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538300280.747 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300280.747 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.747 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300280.747 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300280.748 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538300280.748 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300280.748 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300280.748 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538300280.748 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300280.748 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300280.748 * [misc]taylor: Taking taylor expansion of -1 in k 1538300280.749 * [misc]backup-simplify: Simplify -1 into -1 1538300280.749 * [misc]taylor: Taking taylor expansion of k in k 1538300280.749 * [misc]backup-simplify: Simplify 0 into 0 1538300280.749 * [misc]backup-simplify: Simplify 1 into 1 1538300280.749 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300280.749 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.750 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300280.750 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300280.750 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538300280.750 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538300280.750 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300280.750 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.750 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.750 * [misc]taylor: Taking taylor expansion of k in k 1538300280.750 * [misc]backup-simplify: Simplify 0 into 0 1538300280.750 * [misc]backup-simplify: Simplify 1 into 1 1538300280.750 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.750 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538300280.750 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538300280.750 * [misc]taylor: Taking taylor expansion of -2 in k 1538300280.750 * [misc]backup-simplify: Simplify -2 into -2 1538300280.750 * [misc]taylor: Taking taylor expansion of n in k 1538300280.750 * [misc]backup-simplify: Simplify n into n 1538300280.750 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538300280.750 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538300280.751 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.751 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.751 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538300280.751 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.751 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538300280.751 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538300280.751 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538300280.751 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538300280.751 * [misc]taylor: Taking taylor expansion of -1 in k 1538300280.751 * [misc]backup-simplify: Simplify -1 into -1 1538300280.751 * [misc]taylor: Taking taylor expansion of k in k 1538300280.752 * [misc]backup-simplify: Simplify 0 into 0 1538300280.752 * [misc]backup-simplify: Simplify 1 into 1 1538300280.752 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538300280.752 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538300280.752 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538300280.752 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538300280.752 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538300280.752 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538300280.753 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538300280.753 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538300280.753 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538300280.753 * [misc]taylor: Taking taylor expansion of k in k 1538300280.753 * [misc]backup-simplify: Simplify 0 into 0 1538300280.753 * [misc]backup-simplify: Simplify 1 into 1 1538300280.753 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538300280.753 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538300280.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.753 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538300280.753 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538300280.753 * [misc]taylor: Taking taylor expansion of -2 in k 1538300280.753 * [misc]backup-simplify: Simplify -2 into -2 1538300280.753 * [misc]taylor: Taking taylor expansion of n in k 1538300280.753 * [misc]backup-simplify: Simplify n into n 1538300280.753 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538300280.753 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538300280.753 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538300280.754 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538300280.754 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538300280.754 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538300280.754 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538300280.754 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538300280.754 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538300280.754 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538300280.754 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300280.754 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538300280.754 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538300280.754 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300280.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.755 * [misc]taylor: Taking taylor expansion of k in n 1538300280.755 * [misc]backup-simplify: Simplify k into k 1538300280.755 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.755 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538300280.755 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538300280.755 * [misc]taylor: Taking taylor expansion of -2 in n 1538300280.755 * [misc]backup-simplify: Simplify -2 into -2 1538300280.755 * [misc]taylor: Taking taylor expansion of n in n 1538300280.755 * [misc]backup-simplify: Simplify 0 into 0 1538300280.755 * [misc]backup-simplify: Simplify 1 into 1 1538300280.755 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538300280.755 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300280.755 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.756 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300280.756 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300280.756 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538300280.757 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300280.757 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300280.757 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300280.758 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538300280.759 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538300280.759 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1538300280.759 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538300280.759 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538300280.759 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538300280.759 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538300280.759 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538300280.759 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300280.759 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538300280.759 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538300280.760 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300280.760 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.760 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.760 * [misc]taylor: Taking taylor expansion of k in n 1538300280.760 * [misc]backup-simplify: Simplify k into k 1538300280.760 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.760 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538300280.760 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538300280.760 * [misc]taylor: Taking taylor expansion of -2 in n 1538300280.760 * [misc]backup-simplify: Simplify -2 into -2 1538300280.760 * [misc]taylor: Taking taylor expansion of n in n 1538300280.760 * [misc]backup-simplify: Simplify 0 into 0 1538300280.760 * [misc]backup-simplify: Simplify 1 into 1 1538300280.760 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538300280.760 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300280.760 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.760 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300280.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300280.761 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538300280.761 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300280.762 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300280.762 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300280.762 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538300280.763 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538300280.763 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538300280.766 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538300280.766 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538300280.766 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538300280.766 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538300280.767 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300280.767 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538300280.768 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538300280.769 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1538300280.769 * [misc]backup-simplify: Simplify 0 into 0 1538300280.769 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538300280.771 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538300280.771 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1538300280.771 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538300280.771 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538300280.772 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538300280.772 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.772 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of k in n 1538300280.772 * [misc]backup-simplify: Simplify k into k 1538300280.772 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538300280.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538300280.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538300280.772 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538300280.772 * [misc]taylor: Taking taylor expansion of -2 in n 1538300280.772 * [misc]backup-simplify: Simplify -2 into -2 1538300280.772 * [misc]taylor: Taking taylor expansion of n in n 1538300280.772 * [misc]backup-simplify: Simplify 0 into 0 1538300280.772 * [misc]backup-simplify: Simplify 1 into 1 1538300280.772 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538300280.773 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538300280.773 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538300280.773 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538300280.773 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538300280.773 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538300280.774 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538300280.774 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300280.774 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538300280.775 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538300280.775 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538300280.777 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1538300280.777 * * * [misc]progress: simplifying candidates 1538300280.777 * * * * [misc]progress: [ 1 / 132 ] simplifiying candidate # 1538300280.777 * * * * [misc]progress: [ 2 / 132 ] simplifiying candidate # 1538300280.777 * * * * [misc]progress: [ 3 / 132 ] simplifiying candidate # 1538300280.777 * * * * [misc]progress: [ 4 / 132 ] simplifiying candidate # 1538300280.777 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1538300280.778 * * [misc]simplify: iters left: 3 (5 enodes) 1538300280.779 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1538300280.780 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (/ (pow PI 1/2) (pow PI (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.780 * * * * [misc]progress: [ 5 / 132 ] simplifiying candidate # 1538300280.780 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538300280.780 * * [misc]simplify: iters left: 5 (6 enodes) 1538300280.781 * * [misc]simplify: iters left: 4 (8 enodes) 1538300280.783 * * [misc]simplify: iters left: 3 (11 enodes) 1538300280.784 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538300280.785 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.785 * * * * [misc]progress: [ 6 / 132 ] simplifiying candidate # 1538300280.785 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538300280.785 * * [misc]simplify: iters left: 5 (6 enodes) 1538300280.786 * * [misc]simplify: iters left: 4 (8 enodes) 1538300280.788 * * [misc]simplify: iters left: 3 (11 enodes) 1538300280.790 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538300280.790 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.790 * * * * [misc]progress: [ 7 / 132 ] simplifiying candidate # 1538300280.790 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538300280.790 * * [misc]simplify: iters left: 4 (5 enodes) 1538300280.791 * * [misc]simplify: iters left: 3 (7 enodes) 1538300280.792 * * [misc]simplify: iters left: 2 (10 enodes) 1538300280.794 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538300280.794 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow (pow PI 1) (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.794 * * * * [misc]progress: [ 8 / 132 ] simplifiying candidate # 1538300280.794 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538300280.795 * * [misc]simplify: iters left: 5 (6 enodes) 1538300280.796 * * [misc]simplify: iters left: 4 (8 enodes) 1538300280.798 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538300280.798 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.798 * * * * [misc]progress: [ 9 / 132 ] simplifiying candidate # 1538300280.798 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538300280.798 * * [misc]simplify: iters left: 5 (6 enodes) 1538300280.800 * * [misc]simplify: iters left: 4 (8 enodes) 1538300280.801 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538300280.801 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.801 * * * * [misc]progress: [ 10 / 132 ] simplifiying candidate # 1538300280.801 * * * * [misc]progress: [ 11 / 132 ] simplifiying candidate # 1538300280.801 * * * * [misc]progress: [ 12 / 132 ] simplifiying candidate # 1538300280.801 * * * * [misc]progress: [ 13 / 132 ] simplifiying candidate # 1538300280.801 * * * * [misc]progress: [ 14 / 132 ] simplifiying candidate # 1538300280.801 * * * * [misc]progress: [ 15 / 132 ] simplifiying candidate # 1538300280.801 * * * * [misc]progress: [ 16 / 132 ] simplifiying candidate # 1538300280.802 * * * * [misc]progress: [ 17 / 132 ] simplifiying candidate # 1538300280.802 * * * * [misc]progress: [ 18 / 132 ] simplifiying candidate # 1538300280.802 * * * * [misc]progress: [ 19 / 132 ] simplifiying candidate # 1538300280.802 * * * * [misc]progress: [ 20 / 132 ] simplifiying candidate # 1538300280.802 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1538300280.802 * * [misc]simplify: iters left: 3 (5 enodes) 1538300280.803 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1538300280.803 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.803 * * * * [misc]progress: [ 21 / 132 ] simplifiying candidate # 1538300280.803 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538300280.803 * * [misc]simplify: iters left: 5 (6 enodes) 1538300280.805 * * [misc]simplify: iters left: 4 (8 enodes) 1538300280.806 * * [misc]simplify: iters left: 3 (11 enodes) 1538300280.808 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538300280.808 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.808 * * * * [misc]progress: [ 22 / 132 ] simplifiying candidate # 1538300280.808 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538300280.808 * * [misc]simplify: iters left: 5 (6 enodes) 1538300280.809 * * [misc]simplify: iters left: 4 (8 enodes) 1538300280.811 * * [misc]simplify: iters left: 3 (11 enodes) 1538300280.813 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538300280.813 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.813 * * * * [misc]progress: [ 23 / 132 ] simplifiying candidate # 1538300280.813 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538300280.813 * * [misc]simplify: iters left: 4 (5 enodes) 1538300280.814 * * [misc]simplify: iters left: 3 (7 enodes) 1538300280.815 * * [misc]simplify: iters left: 2 (10 enodes) 1538300280.817 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538300280.817 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.817 * * * * [misc]progress: [ 24 / 132 ] simplifiying candidate # 1538300280.817 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538300280.818 * * [misc]simplify: iters left: 5 (6 enodes) 1538300280.819 * * [misc]simplify: iters left: 4 (8 enodes) 1538300280.820 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538300280.820 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.820 * * * * [misc]progress: [ 25 / 132 ] simplifiying candidate # 1538300280.820 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538300280.821 * * [misc]simplify: iters left: 5 (6 enodes) 1538300280.822 * * [misc]simplify: iters left: 4 (8 enodes) 1538300280.823 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538300280.823 * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300280.823 * * * * [misc]progress: [ 26 / 132 ] simplifiying candidate # 1538300280.823 * * * * [misc]progress: [ 27 / 132 ] simplifiying candidate # 1538300280.823 * * * * [misc]progress: [ 28 / 132 ] simplifiying candidate # 1538300280.823 * * * * [misc]progress: [ 29 / 132 ] simplifiying candidate # 1538300280.823 * * * * [misc]progress: [ 30 / 132 ] simplifiying candidate # 1538300280.823 * * * * [misc]progress: [ 31 / 132 ] simplifiying candidate # 1538300280.823 * * * * [misc]progress: [ 32 / 132 ] simplifiying candidate # 1538300280.823 * * * * [misc]progress: [ 33 / 132 ] simplifiying candidate # 1538300280.824 * * * * [misc]progress: [ 34 / 132 ] simplifiying candidate # 1538300280.824 * * * * [misc]progress: [ 35 / 132 ] simplifiying candidate # 1538300280.824 * * * * [misc]progress: [ 36 / 132 ] simplifiying candidate # 1538300280.824 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300280.824 * * [misc]simplify: iters left: 6 (12 enodes) 1538300280.830 * * [misc]simplify: iters left: 5 (22 enodes) 1538300280.835 * * [misc]simplify: iters left: 4 (40 enodes) 1538300280.861 * * [misc]simplify: iters left: 3 (104 enodes) 1538300280.930 * * [misc]simplify: iters left: 2 (334 enodes) 1538300281.186 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300281.187 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))))))) 1538300281.187 * * * * [misc]progress: [ 37 / 132 ] simplifiying candidate # 1538300281.187 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300281.188 * * [misc]simplify: iters left: 6 (12 enodes) 1538300281.194 * * [misc]simplify: iters left: 5 (22 enodes) 1538300281.203 * * [misc]simplify: iters left: 4 (40 enodes) 1538300281.225 * * [misc]simplify: iters left: 3 (104 enodes) 1538300281.316 * * [misc]simplify: iters left: 2 (334 enodes) 1538300281.629 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300281.629 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))))))) 1538300281.629 * * * * [misc]progress: [ 38 / 132 ] simplifiying candidate # 1538300281.629 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1538300281.631 * * [misc]simplify: iters left: 6 (12 enodes) 1538300281.636 * * [misc]simplify: iters left: 5 (19 enodes) 1538300281.642 * * [misc]simplify: iters left: 4 (29 enodes) 1538300281.649 * * [misc]simplify: iters left: 3 (46 enodes) 1538300281.669 * * [misc]simplify: iters left: 2 (134 enodes) 1538300281.747 * * [misc]simplify: iters left: 1 (437 enodes) 1538300282.196 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538300282.196 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))))))) 1538300282.196 * * * * [misc]progress: [ 39 / 132 ] simplifiying candidate # 1538300282.196 * * * * [misc]progress: [ 40 / 132 ] simplifiying candidate # 1538300282.196 * * * * [misc]progress: [ 41 / 132 ] simplifiying candidate # 1538300282.196 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1538300282.197 * * [misc]simplify: iters left: 6 (14 enodes) 1538300282.201 * * [misc]simplify: iters left: 5 (26 enodes) 1538300282.208 * * [misc]simplify: iters left: 4 (57 enodes) 1538300282.223 * * [misc]simplify: iters left: 3 (112 enodes) 1538300282.254 * * [misc]simplify: iters left: 2 (189 enodes) 1538300282.312 * * [misc]simplify: iters left: 1 (316 enodes) 1538300282.454 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1538300282.454 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1538300282.454 * * * * [misc]progress: [ 42 / 132 ] simplifiying candidate # 1538300282.454 * * * * [misc]progress: [ 43 / 132 ] simplifiying candidate # 1538300282.454 * * * * [misc]progress: [ 44 / 132 ] simplifiying candidate # 1538300282.454 * * * * [misc]progress: [ 45 / 132 ] simplifiying candidate # 1538300282.454 * * * * [misc]progress: [ 46 / 132 ] simplifiying candidate # 1538300282.454 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.455 * * [misc]simplify: iters left: 6 (10 enodes) 1538300282.457 * * [misc]simplify: iters left: 5 (14 enodes) 1538300282.459 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.459 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))))))) 1538300282.459 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1538300282.460 * * [misc]simplify: iters left: 6 (10 enodes) 1538300282.462 * * [misc]simplify: iters left: 5 (13 enodes) 1538300282.464 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1538300282.464 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))))) 1538300282.464 * * * * [misc]progress: [ 47 / 132 ] simplifiying candidate # 1538300282.464 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1538300282.465 * * [misc]simplify: iters left: 5 (9 enodes) 1538300282.466 * * [misc]simplify: iters left: 4 (11 enodes) 1538300282.468 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538300282.468 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1538300282.469 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1538300282.469 * * [misc]simplify: iters left: 6 (10 enodes) 1538300282.471 * * [misc]simplify: iters left: 5 (13 enodes) 1538300282.473 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1538300282.473 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))))) 1538300282.474 * * * * [misc]progress: [ 48 / 132 ] simplifiying candidate # 1538300282.474 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1538300282.474 * * [misc]simplify: iters left: 5 (7 enodes) 1538300282.477 * * [misc]simplify: iters left: 4 (11 enodes) 1538300282.479 * * [misc]simplify: iters left: 3 (13 enodes) 1538300282.481 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300282.481 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1538300282.481 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1538300282.482 * * [misc]simplify: iters left: 6 (9 enodes) 1538300282.483 * * [misc]simplify: iters left: 5 (12 enodes) 1538300282.486 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1538300282.486 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1538300282.486 * * * * [misc]progress: [ 49 / 132 ] simplifiying candidate # 1538300282.486 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.487 * * [misc]simplify: iters left: 6 (10 enodes) 1538300282.489 * * [misc]simplify: iters left: 5 (14 enodes) 1538300282.491 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.491 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))))))) 1538300282.492 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1538300282.492 * * [misc]simplify: iters left: 6 (10 enodes) 1538300282.494 * * [misc]simplify: iters left: 5 (13 enodes) 1538300282.497 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1538300282.497 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))))) 1538300282.497 * * * * [misc]progress: [ 50 / 132 ] simplifiying candidate # 1538300282.497 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1538300282.497 * * [misc]simplify: iters left: 5 (9 enodes) 1538300282.499 * * [misc]simplify: iters left: 4 (11 enodes) 1538300282.501 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538300282.501 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1538300282.501 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1538300282.502 * * [misc]simplify: iters left: 6 (10 enodes) 1538300282.504 * * [misc]simplify: iters left: 5 (13 enodes) 1538300282.506 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1538300282.506 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))))) 1538300282.506 * * * * [misc]progress: [ 51 / 132 ] simplifiying candidate # 1538300282.506 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1538300282.506 * * [misc]simplify: iters left: 5 (7 enodes) 1538300282.508 * * [misc]simplify: iters left: 4 (11 enodes) 1538300282.510 * * [misc]simplify: iters left: 3 (13 enodes) 1538300282.512 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300282.512 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1538300282.512 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1538300282.513 * * [misc]simplify: iters left: 6 (9 enodes) 1538300282.515 * * [misc]simplify: iters left: 5 (12 enodes) 1538300282.517 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1538300282.517 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1538300282.517 * * * * [misc]progress: [ 52 / 132 ] simplifiying candidate # 1538300282.517 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.518 * * [misc]simplify: iters left: 6 (11 enodes) 1538300282.521 * * [misc]simplify: iters left: 5 (15 enodes) 1538300282.523 * * [misc]simplify: iters left: 4 (18 enodes) 1538300282.526 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.526 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300282.526 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300282.527 * * [misc]simplify: iters left: 6 (9 enodes) 1538300282.528 * * [misc]simplify: iters left: 5 (11 enodes) 1538300282.530 * * [misc]simplify: iters left: 4 (14 enodes) 1538300282.533 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300282.533 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300282.533 * * * * [misc]progress: [ 53 / 132 ] simplifiying candidate # 1538300282.533 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300282.533 * * [misc]simplify: iters left: 6 (10 enodes) 1538300282.535 * * [misc]simplify: iters left: 5 (12 enodes) 1538300282.537 * * [misc]simplify: iters left: 4 (15 enodes) 1538300282.540 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300282.540 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300282.540 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300282.540 * * [misc]simplify: iters left: 6 (9 enodes) 1538300282.542 * * [misc]simplify: iters left: 5 (11 enodes) 1538300282.544 * * [misc]simplify: iters left: 4 (14 enodes) 1538300282.546 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300282.546 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300282.546 * * * * [misc]progress: [ 54 / 132 ] simplifiying candidate # 1538300282.548 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1538300282.549 * * [misc]simplify: iters left: 6 (9 enodes) 1538300282.550 * * [misc]simplify: iters left: 5 (13 enodes) 1538300282.553 * * [misc]simplify: iters left: 4 (18 enodes) 1538300282.555 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538300282.555 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))))) 1538300282.556 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1538300282.556 * * [misc]simplify: iters left: 6 (8 enodes) 1538300282.558 * * [misc]simplify: iters left: 5 (10 enodes) 1538300282.559 * * [misc]simplify: iters left: 4 (13 enodes) 1538300282.561 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1538300282.561 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))))) 1538300282.561 * * * * [misc]progress: [ 55 / 132 ] simplifiying candidate # 1538300282.562 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.563 * * [misc]simplify: iters left: 6 (14 enodes) 1538300282.565 * * [misc]simplify: iters left: 5 (23 enodes) 1538300282.570 * * [misc]simplify: iters left: 4 (35 enodes) 1538300282.576 * * [misc]simplify: iters left: 3 (38 enodes) 1538300282.581 * * [misc]simplify: iters left: 2 (41 enodes) 1538300282.590 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538300282.590 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1538300282.590 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300282.591 * * [misc]simplify: iters left: 6 (12 enodes) 1538300282.593 * * [misc]simplify: iters left: 5 (15 enodes) 1538300282.595 * * [misc]simplify: iters left: 4 (18 enodes) 1538300282.598 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300282.598 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1538300282.598 * * * * [misc]progress: [ 56 / 132 ] simplifiying candidate # 1538300282.599 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538300282.599 * * [misc]simplify: iters left: 6 (13 enodes) 1538300282.602 * * [misc]simplify: iters left: 5 (18 enodes) 1538300282.605 * * [misc]simplify: iters left: 4 (23 enodes) 1538300282.609 * * [misc]simplify: iters left: 3 (24 enodes) 1538300282.614 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300282.614 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300282.614 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300282.616 * * [misc]simplify: iters left: 6 (12 enodes) 1538300282.618 * * [misc]simplify: iters left: 5 (15 enodes) 1538300282.621 * * [misc]simplify: iters left: 4 (18 enodes) 1538300282.624 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300282.624 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300282.624 * * * * [misc]progress: [ 57 / 132 ] simplifiying candidate # 1538300282.625 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1538300282.625 * * [misc]simplify: iters left: 6 (12 enodes) 1538300282.628 * * [misc]simplify: iters left: 5 (19 enodes) 1538300282.632 * * [misc]simplify: iters left: 4 (28 enodes) 1538300282.637 * * [misc]simplify: iters left: 3 (42 enodes) 1538300282.646 * * [misc]simplify: iters left: 2 (68 enodes) 1538300282.657 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300282.657 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300282.657 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1538300282.657 * * [misc]simplify: iters left: 6 (11 enodes) 1538300282.660 * * [misc]simplify: iters left: 5 (14 enodes) 1538300282.662 * * [misc]simplify: iters left: 4 (17 enodes) 1538300282.665 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1538300282.665 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300282.665 * * * * [misc]progress: [ 58 / 132 ] simplifiying candidate # 1538300282.665 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.666 * * [misc]simplify: iters left: 6 (13 enodes) 1538300282.669 * * [misc]simplify: iters left: 5 (18 enodes) 1538300282.672 * * [misc]simplify: iters left: 4 (21 enodes) 1538300282.676 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.676 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1538300282.676 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300282.677 * * [misc]simplify: iters left: 6 (12 enodes) 1538300282.679 * * [misc]simplify: iters left: 5 (15 enodes) 1538300282.682 * * [misc]simplify: iters left: 4 (18 enodes) 1538300282.685 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538300282.685 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1538300282.685 * * * * [misc]progress: [ 59 / 132 ] simplifiying candidate # 1538300282.685 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300282.687 * * [misc]simplify: iters left: 6 (12 enodes) 1538300282.690 * * [misc]simplify: iters left: 5 (15 enodes) 1538300282.692 * * [misc]simplify: iters left: 4 (18 enodes) 1538300282.696 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300282.696 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300282.696 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300282.697 * * [misc]simplify: iters left: 6 (12 enodes) 1538300282.699 * * [misc]simplify: iters left: 5 (15 enodes) 1538300282.702 * * [misc]simplify: iters left: 4 (18 enodes) 1538300282.705 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538300282.705 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1538300282.705 * * * * [misc]progress: [ 60 / 132 ] simplifiying candidate # 1538300282.705 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1538300282.706 * * [misc]simplify: iters left: 6 (11 enodes) 1538300282.708 * * [misc]simplify: iters left: 5 (16 enodes) 1538300282.712 * * [misc]simplify: iters left: 4 (21 enodes) 1538300282.715 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300282.715 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300282.715 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1538300282.716 * * [misc]simplify: iters left: 6 (11 enodes) 1538300282.718 * * [misc]simplify: iters left: 5 (14 enodes) 1538300282.721 * * [misc]simplify: iters left: 4 (17 enodes) 1538300282.724 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1538300282.724 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1538300282.724 * * * * [misc]progress: [ 61 / 132 ] simplifiying candidate # 1538300282.724 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538300282.724 * * [misc]simplify: iters left: 6 (6 enodes) 1538300282.725 * * [misc]simplify: iters left: 5 (10 enodes) 1538300282.727 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1538300282.727 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300282.727 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300282.728 * * [misc]simplify: iters left: 6 (11 enodes) 1538300282.730 * * [misc]simplify: iters left: 5 (14 enodes) 1538300282.733 * * [misc]simplify: iters left: 4 (17 enodes) 1538300282.736 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538300282.736 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1538300282.736 * * * * [misc]progress: [ 62 / 132 ] simplifiying candidate # 1538300282.737 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1538300282.737 * * [misc]simplify: iters left: 4 (5 enodes) 1538300282.739 * * [misc]simplify: iters left: 3 (7 enodes) 1538300282.741 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538300282.741 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300282.741 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300282.742 * * [misc]simplify: iters left: 6 (11 enodes) 1538300282.746 * * [misc]simplify: iters left: 5 (14 enodes) 1538300282.751 * * [misc]simplify: iters left: 4 (17 enodes) 1538300282.757 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538300282.757 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1538300282.757 * * * * [misc]progress: [ 63 / 132 ] simplifiying candidate # 1538300282.757 * [enter]simplify: Simplifying (/ 1 1) 1538300282.758 * * [misc]simplify: iters left: 2 (2 enodes) 1538300282.759 * * [misc]simplify: iters left: 1 (4 enodes) 1538300282.759 * [exit]simplify: Simplified to 1 1538300282.759 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300282.760 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300282.761 * * [misc]simplify: iters left: 6 (10 enodes) 1538300282.764 * * [misc]simplify: iters left: 5 (13 enodes) 1538300282.768 * * [misc]simplify: iters left: 4 (16 enodes) 1538300282.771 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538300282.771 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1538300282.771 * * * * [misc]progress: [ 64 / 132 ] simplifiying candidate # 1538300282.771 * * * * [misc]progress: [ 65 / 132 ] simplifiying candidate # 1538300282.771 * * * * [misc]progress: [ 66 / 132 ] simplifiying candidate # 1538300282.771 * * * * [misc]progress: [ 67 / 132 ] simplifiying candidate # 1538300282.771 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1538300282.772 * * [misc]simplify: iters left: 2 (3 enodes) 1538300282.772 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1538300282.772 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))) 1538300282.772 * * * * [misc]progress: [ 68 / 132 ] simplifiying candidate # 1538300282.772 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538300282.774 * * [misc]simplify: iters left: 2 (3 enodes) 1538300282.775 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538300282.775 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1538300282.775 * * * * [misc]progress: [ 69 / 132 ] simplifiying candidate # 1538300282.775 * [enter]simplify: Simplifying (sqrt k) 1538300282.775 * * [misc]simplify: iters left: 1 (2 enodes) 1538300282.776 * [exit]simplify: Simplified to (sqrt k) 1538300282.776 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k))))) 1538300282.776 * * * * [misc]progress: [ 70 / 132 ] simplifiying candidate # 1538300282.776 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1538300282.776 * * [misc]simplify: iters left: 3 (5 enodes) 1538300282.777 * * [misc]simplify: iters left: 2 (7 enodes) 1538300282.778 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300282.778 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538300282.778 * * * * [misc]progress: [ 71 / 132 ] simplifiying candidate # 1538300282.778 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1538300282.778 * * [misc]simplify: iters left: 3 (5 enodes) 1538300282.780 * * [misc]simplify: iters left: 2 (7 enodes) 1538300282.781 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300282.781 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538300282.781 * * * * [misc]progress: [ 72 / 132 ] simplifiying candidate # 1538300282.781 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1538300282.781 * * [misc]simplify: iters left: 5 (7 enodes) 1538300282.782 * * [misc]simplify: iters left: 4 (9 enodes) 1538300282.784 * * [misc]simplify: iters left: 3 (12 enodes) 1538300282.786 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538300282.786 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1538300282.786 * * * * [misc]progress: [ 73 / 132 ] simplifiying candidate # 1538300282.786 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300282.787 * * [misc]simplify: iters left: 6 (10 enodes) 1538300282.789 * * [misc]simplify: iters left: 5 (13 enodes) 1538300282.791 * * [misc]simplify: iters left: 4 (16 enodes) 1538300282.794 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300282.794 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1538300282.794 * * * * [misc]progress: [ 74 / 132 ] simplifiying candidate # 1538300282.794 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300282.794 * * [misc]simplify: iters left: 6 (9 enodes) 1538300282.797 * * [misc]simplify: iters left: 5 (12 enodes) 1538300282.801 * * [misc]simplify: iters left: 4 (15 enodes) 1538300282.806 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300282.806 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1538300282.806 * * * * [misc]progress: [ 75 / 132 ] simplifiying candidate # 1538300282.806 * * * * [misc]progress: [ 76 / 132 ] simplifiying candidate # 1538300282.807 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1538300282.807 * * [misc]simplify: iters left: 3 (5 enodes) 1538300282.809 * * [misc]simplify: iters left: 2 (7 enodes) 1538300282.811 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538300282.811 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2))))))) 1538300282.811 * * * * [misc]progress: [ 77 / 132 ] simplifiying candidate # 1538300282.812 * * * * [misc]progress: [ 78 / 132 ] simplifiying candidate # 1538300282.812 * * * * [misc]progress: [ 79 / 132 ] simplifiying candidate # 1538300282.812 * * * * [misc]progress: [ 80 / 132 ] simplifiying candidate # 1538300282.812 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538300282.813 * * [misc]simplify: iters left: 6 (12 enodes) 1538300282.819 * * [misc]simplify: iters left: 5 (21 enodes) 1538300282.829 * * [misc]simplify: iters left: 4 (44 enodes) 1538300282.846 * * [misc]simplify: iters left: 3 (133 enodes) 1538300282.930 * * [misc]simplify: iters left: 2 (379 enodes) 1538300283.134 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1538300283.134 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.134 * * * * [misc]progress: [ 81 / 132 ] simplifiying candidate # 1538300283.134 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538300283.135 * * [misc]simplify: iters left: 6 (12 enodes) 1538300283.138 * * [misc]simplify: iters left: 5 (21 enodes) 1538300283.145 * * [misc]simplify: iters left: 4 (44 enodes) 1538300283.169 * * [misc]simplify: iters left: 3 (133 enodes) 1538300283.227 * * [misc]simplify: iters left: 2 (379 enodes) 1538300283.421 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1538300283.421 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.421 * * * * [misc]progress: [ 82 / 132 ] simplifiying candidate # 1538300283.422 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.422 * * [misc]simplify: iters left: 6 (12 enodes) 1538300283.425 * * [misc]simplify: iters left: 5 (19 enodes) 1538300283.430 * * [misc]simplify: iters left: 4 (32 enodes) 1538300283.442 * * [misc]simplify: iters left: 3 (69 enodes) 1538300283.471 * * [misc]simplify: iters left: 2 (208 enodes) 1538300283.592 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1538300283.592 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.592 * * * * [misc]progress: [ 83 / 132 ] simplifiying candidate # 1538300283.592 * * * * [misc]progress: [ 84 / 132 ] simplifiying candidate # 1538300283.592 * * * * [misc]progress: [ 85 / 132 ] simplifiying candidate # 1538300283.592 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.594 * * [misc]simplify: iters left: 6 (14 enodes) 1538300283.601 * * [misc]simplify: iters left: 5 (26 enodes) 1538300283.615 * * [misc]simplify: iters left: 4 (58 enodes) 1538300283.631 * * [misc]simplify: iters left: 3 (117 enodes) 1538300283.660 * * [misc]simplify: iters left: 2 (193 enodes) 1538300283.716 * * [misc]simplify: iters left: 1 (263 enodes) 1538300283.805 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.805 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.806 * * * * [misc]progress: [ 86 / 132 ] simplifiying candidate # 1538300283.806 * * * * [misc]progress: [ 87 / 132 ] simplifiying candidate # 1538300283.806 * * * * [misc]progress: [ 88 / 132 ] simplifiying candidate # 1538300283.806 * * * * [misc]progress: [ 89 / 132 ] simplifiying candidate # 1538300283.806 * * * * [misc]progress: [ 90 / 132 ] simplifiying candidate # 1538300283.806 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538300283.807 * * [misc]simplify: iters left: 6 (10 enodes) 1538300283.809 * * [misc]simplify: iters left: 5 (14 enodes) 1538300283.811 * * [misc]simplify: iters left: 4 (16 enodes) 1538300283.814 * * [misc]simplify: iters left: 3 (17 enodes) 1538300283.818 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538300283.818 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.818 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538300283.818 * * [misc]simplify: iters left: 6 (10 enodes) 1538300283.820 * * [misc]simplify: iters left: 5 (13 enodes) 1538300283.822 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538300283.823 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.823 * * * * [misc]progress: [ 91 / 132 ] simplifiying candidate # 1538300283.823 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538300283.823 * * [misc]simplify: iters left: 6 (10 enodes) 1538300283.825 * * [misc]simplify: iters left: 5 (14 enodes) 1538300283.828 * * [misc]simplify: iters left: 4 (16 enodes) 1538300283.830 * * [misc]simplify: iters left: 3 (17 enodes) 1538300283.833 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538300283.833 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.834 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538300283.834 * * [misc]simplify: iters left: 6 (10 enodes) 1538300283.836 * * [misc]simplify: iters left: 5 (13 enodes) 1538300283.838 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538300283.838 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.838 * * * * [misc]progress: [ 92 / 132 ] simplifiying candidate # 1538300283.839 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538300283.839 * * [misc]simplify: iters left: 6 (11 enodes) 1538300283.841 * * [misc]simplify: iters left: 5 (15 enodes) 1538300283.844 * * [misc]simplify: iters left: 4 (20 enodes) 1538300283.847 * * [misc]simplify: iters left: 3 (21 enodes) 1538300283.850 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538300283.850 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.851 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538300283.852 * * [misc]simplify: iters left: 6 (9 enodes) 1538300283.854 * * [misc]simplify: iters left: 5 (11 enodes) 1538300283.856 * * [misc]simplify: iters left: 4 (14 enodes) 1538300283.858 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538300283.858 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.858 * * * * [misc]progress: [ 93 / 132 ] simplifiying candidate # 1538300283.858 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538300283.859 * * [misc]simplify: iters left: 6 (14 enodes) 1538300283.862 * * [misc]simplify: iters left: 5 (23 enodes) 1538300283.867 * * [misc]simplify: iters left: 4 (35 enodes) 1538300283.872 * * [misc]simplify: iters left: 3 (38 enodes) 1538300283.878 * * [misc]simplify: iters left: 2 (41 enodes) 1538300283.887 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538300283.887 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.887 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.888 * * [misc]simplify: iters left: 6 (12 enodes) 1538300283.890 * * [misc]simplify: iters left: 5 (15 enodes) 1538300283.893 * * [misc]simplify: iters left: 4 (18 enodes) 1538300283.896 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.896 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.896 * * * * [misc]progress: [ 94 / 132 ] simplifiying candidate # 1538300283.897 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.897 * * [misc]simplify: iters left: 6 (13 enodes) 1538300283.900 * * [misc]simplify: iters left: 5 (18 enodes) 1538300283.904 * * [misc]simplify: iters left: 4 (23 enodes) 1538300283.907 * * [misc]simplify: iters left: 3 (24 enodes) 1538300283.912 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.912 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.912 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.912 * * [misc]simplify: iters left: 6 (12 enodes) 1538300283.915 * * [misc]simplify: iters left: 5 (15 enodes) 1538300283.917 * * [misc]simplify: iters left: 4 (18 enodes) 1538300283.921 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.921 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.921 * * * * [misc]progress: [ 95 / 132 ] simplifiying candidate # 1538300283.921 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1538300283.922 * * [misc]simplify: iters left: 6 (6 enodes) 1538300283.923 * * [misc]simplify: iters left: 5 (10 enodes) 1538300283.926 * * [misc]simplify: iters left: 4 (16 enodes) 1538300283.928 * * [misc]simplify: iters left: 3 (18 enodes) 1538300283.931 * * [misc]simplify: iters left: 2 (23 enodes) 1538300283.934 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538300283.934 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.934 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538300283.934 * * [misc]simplify: iters left: 6 (11 enodes) 1538300283.936 * * [misc]simplify: iters left: 5 (14 enodes) 1538300283.939 * * [misc]simplify: iters left: 4 (17 enodes) 1538300283.942 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538300283.942 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.942 * * * * [misc]progress: [ 96 / 132 ] simplifiying candidate # 1538300283.942 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538300283.942 * * [misc]simplify: iters left: 5 (9 enodes) 1538300283.944 * * [misc]simplify: iters left: 4 (11 enodes) 1538300283.946 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538300283.946 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.946 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538300283.946 * * [misc]simplify: iters left: 6 (10 enodes) 1538300283.948 * * [misc]simplify: iters left: 5 (13 enodes) 1538300283.950 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538300283.950 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.951 * * * * [misc]progress: [ 97 / 132 ] simplifiying candidate # 1538300283.951 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538300283.951 * * [misc]simplify: iters left: 5 (9 enodes) 1538300283.953 * * [misc]simplify: iters left: 4 (11 enodes) 1538300283.955 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538300283.955 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.955 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538300283.955 * * [misc]simplify: iters left: 6 (10 enodes) 1538300283.957 * * [misc]simplify: iters left: 5 (13 enodes) 1538300283.960 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538300283.960 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.960 * * * * [misc]progress: [ 98 / 132 ] simplifiying candidate # 1538300283.960 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538300283.960 * * [misc]simplify: iters left: 6 (10 enodes) 1538300283.962 * * [misc]simplify: iters left: 5 (12 enodes) 1538300283.964 * * [misc]simplify: iters left: 4 (15 enodes) 1538300283.967 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538300283.967 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.967 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538300283.968 * * [misc]simplify: iters left: 6 (9 enodes) 1538300283.969 * * [misc]simplify: iters left: 5 (11 enodes) 1538300283.971 * * [misc]simplify: iters left: 4 (14 enodes) 1538300283.974 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538300283.974 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.974 * * * * [misc]progress: [ 99 / 132 ] simplifiying candidate # 1538300283.974 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538300283.975 * * [misc]simplify: iters left: 6 (13 enodes) 1538300283.979 * * [misc]simplify: iters left: 5 (18 enodes) 1538300283.986 * * [misc]simplify: iters left: 4 (21 enodes) 1538300283.994 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538300283.994 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300283.995 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300283.996 * * [misc]simplify: iters left: 6 (12 enodes) 1538300284.002 * * [misc]simplify: iters left: 5 (15 enodes) 1538300284.007 * * [misc]simplify: iters left: 4 (18 enodes) 1538300284.013 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.013 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.013 * * * * [misc]progress: [ 100 / 132 ] simplifiying candidate # 1538300284.013 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.014 * * [misc]simplify: iters left: 6 (12 enodes) 1538300284.016 * * [misc]simplify: iters left: 5 (15 enodes) 1538300284.018 * * [misc]simplify: iters left: 4 (18 enodes) 1538300284.022 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.022 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.022 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.022 * * [misc]simplify: iters left: 6 (12 enodes) 1538300284.025 * * [misc]simplify: iters left: 5 (15 enodes) 1538300284.027 * * [misc]simplify: iters left: 4 (18 enodes) 1538300284.031 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.031 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.031 * * * * [misc]progress: [ 101 / 132 ] simplifiying candidate # 1538300284.031 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1538300284.031 * * [misc]simplify: iters left: 4 (5 enodes) 1538300284.032 * * [misc]simplify: iters left: 3 (7 enodes) 1538300284.034 * * [misc]simplify: iters left: 2 (9 enodes) 1538300284.035 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538300284.035 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.035 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538300284.036 * * [misc]simplify: iters left: 6 (11 enodes) 1538300284.038 * * [misc]simplify: iters left: 5 (14 enodes) 1538300284.040 * * [misc]simplify: iters left: 4 (17 enodes) 1538300284.043 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538300284.043 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.043 * * * * [misc]progress: [ 102 / 132 ] simplifiying candidate # 1538300284.043 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538300284.044 * * [misc]simplify: iters left: 5 (7 enodes) 1538300284.045 * * [misc]simplify: iters left: 4 (11 enodes) 1538300284.047 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538300284.047 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.047 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538300284.048 * * [misc]simplify: iters left: 6 (9 enodes) 1538300284.049 * * [misc]simplify: iters left: 5 (12 enodes) 1538300284.052 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538300284.052 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.052 * * * * [misc]progress: [ 103 / 132 ] simplifiying candidate # 1538300284.052 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538300284.053 * * [misc]simplify: iters left: 5 (7 enodes) 1538300284.054 * * [misc]simplify: iters left: 4 (11 enodes) 1538300284.056 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538300284.056 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.056 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538300284.057 * * [misc]simplify: iters left: 6 (9 enodes) 1538300284.058 * * [misc]simplify: iters left: 5 (12 enodes) 1538300284.061 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538300284.061 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.061 * * * * [misc]progress: [ 104 / 132 ] simplifiying candidate # 1538300284.062 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1538300284.062 * * [misc]simplify: iters left: 6 (9 enodes) 1538300284.066 * * [misc]simplify: iters left: 5 (13 enodes) 1538300284.069 * * [misc]simplify: iters left: 4 (16 enodes) 1538300284.071 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1538300284.071 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.071 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538300284.072 * * [misc]simplify: iters left: 6 (8 enodes) 1538300284.073 * * [misc]simplify: iters left: 5 (10 enodes) 1538300284.075 * * [misc]simplify: iters left: 4 (13 enodes) 1538300284.077 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538300284.077 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.077 * * * * [misc]progress: [ 105 / 132 ] simplifiying candidate # 1538300284.077 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538300284.078 * * [misc]simplify: iters left: 6 (12 enodes) 1538300284.082 * * [misc]simplify: iters left: 5 (19 enodes) 1538300284.085 * * [misc]simplify: iters left: 4 (22 enodes) 1538300284.089 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538300284.089 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.089 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.090 * * [misc]simplify: iters left: 6 (11 enodes) 1538300284.092 * * [misc]simplify: iters left: 5 (14 enodes) 1538300284.094 * * [misc]simplify: iters left: 4 (17 enodes) 1538300284.097 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.097 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.097 * * * * [misc]progress: [ 106 / 132 ] simplifiying candidate # 1538300284.097 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.098 * * [misc]simplify: iters left: 6 (11 enodes) 1538300284.100 * * [misc]simplify: iters left: 5 (16 enodes) 1538300284.102 * * [misc]simplify: iters left: 4 (19 enodes) 1538300284.105 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538300284.105 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.105 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.106 * * [misc]simplify: iters left: 6 (11 enodes) 1538300284.108 * * [misc]simplify: iters left: 5 (14 enodes) 1538300284.110 * * [misc]simplify: iters left: 4 (17 enodes) 1538300284.113 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538300284.113 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.113 * * * * [misc]progress: [ 107 / 132 ] simplifiying candidate # 1538300284.113 * [enter]simplify: Simplifying (/ 1 1) 1538300284.113 * * [misc]simplify: iters left: 2 (2 enodes) 1538300284.114 * * [misc]simplify: iters left: 1 (4 enodes) 1538300284.114 * [exit]simplify: Simplified to 1 1538300284.114 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.114 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538300284.115 * * [misc]simplify: iters left: 6 (10 enodes) 1538300284.117 * * [misc]simplify: iters left: 5 (13 enodes) 1538300284.119 * * [misc]simplify: iters left: 4 (16 enodes) 1538300284.122 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538300284.122 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.122 * * * * [misc]progress: [ 108 / 132 ] simplifiying candidate # 1538300284.122 * * * * [misc]progress: [ 109 / 132 ] simplifiying candidate # 1538300284.122 * * * * [misc]progress: [ 110 / 132 ] simplifiying candidate # 1538300284.122 * * * * [misc]progress: [ 111 / 132 ] simplifiying candidate # 1538300284.122 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538300284.122 * * [misc]simplify: iters left: 5 (7 enodes) 1538300284.124 * * [misc]simplify: iters left: 4 (10 enodes) 1538300284.125 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538300284.125 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.125 * * * * [misc]progress: [ 112 / 132 ] simplifiying candidate # 1538300284.126 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538300284.126 * * [misc]simplify: iters left: 5 (7 enodes) 1538300284.127 * * [misc]simplify: iters left: 4 (10 enodes) 1538300284.129 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538300284.129 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.129 * * * * [misc]progress: [ 113 / 132 ] simplifiying candidate # 1538300284.129 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1538300284.130 * * [misc]simplify: iters left: 5 (6 enodes) 1538300284.131 * * [misc]simplify: iters left: 4 (8 enodes) 1538300284.132 * * [misc]simplify: iters left: 3 (11 enodes) 1538300284.134 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1538300284.134 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.134 * * * * [misc]progress: [ 114 / 132 ] simplifiying candidate # 1538300284.134 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300284.135 * * [misc]simplify: iters left: 6 (9 enodes) 1538300284.136 * * [misc]simplify: iters left: 5 (12 enodes) 1538300284.138 * * [misc]simplify: iters left: 4 (15 enodes) 1538300284.141 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300284.141 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.141 * * * * [misc]progress: [ 115 / 132 ] simplifiying candidate # 1538300284.141 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300284.142 * * [misc]simplify: iters left: 6 (9 enodes) 1538300284.143 * * [misc]simplify: iters left: 5 (12 enodes) 1538300284.145 * * [misc]simplify: iters left: 4 (15 enodes) 1538300284.148 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538300284.148 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.148 * * * * [misc]progress: [ 116 / 132 ] simplifiying candidate # 1538300284.149 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538300284.150 * * [misc]simplify: iters left: 5 (8 enodes) 1538300284.151 * * [misc]simplify: iters left: 4 (11 enodes) 1538300284.153 * * [misc]simplify: iters left: 3 (14 enodes) 1538300284.156 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538300284.156 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.156 * * * * [misc]progress: [ 117 / 132 ] simplifiying candidate # 1538300284.157 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538300284.157 * * [misc]simplify: iters left: 4 (4 enodes) 1538300284.158 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538300284.158 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.158 * * * * [misc]progress: [ 118 / 132 ] simplifiying candidate # 1538300284.158 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538300284.158 * * [misc]simplify: iters left: 2 (3 enodes) 1538300284.159 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538300284.159 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.159 * * * * [misc]progress: [ 119 / 132 ] simplifiying candidate # 1538300284.159 * * * * [misc]progress: [ 120 / 132 ] simplifiying candidate # 1538300284.159 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538300284.159 * * [misc]simplify: iters left: 3 (6 enodes) 1538300284.160 * * [misc]simplify: iters left: 2 (7 enodes) 1538300284.161 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538300284.161 * [misc]simplify: Simplified (2 1 1 1 2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.161 * * * * [misc]progress: [ 121 / 132 ] simplifiying candidate # 1538300284.162 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1538300284.163 * * [misc]simplify: iters left: 6 (18 enodes) 1538300284.168 * * [misc]simplify: iters left: 5 (39 enodes) 1538300284.182 * * [misc]simplify: iters left: 4 (110 enodes) 1538300284.229 * * [misc]simplify: iters left: 3 (321 enodes) 1538300284.453 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1538300284.453 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.453 * * * * [misc]progress: [ 122 / 132 ] simplifiying candidate # 1538300284.453 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538300284.454 * * [misc]simplify: iters left: 5 (6 enodes) 1538300284.455 * * [misc]simplify: iters left: 4 (9 enodes) 1538300284.458 * * [misc]simplify: iters left: 3 (17 enodes) 1538300284.462 * * [misc]simplify: iters left: 2 (24 enodes) 1538300284.465 * * [misc]simplify: iters left: 1 (28 enodes) 1538300284.474 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1538300284.474 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (fma k -1/2 1/2)) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.475 * * * * [misc]progress: [ 123 / 132 ] simplifiying candidate # 1538300284.475 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538300284.475 * * [misc]simplify: iters left: 5 (6 enodes) 1538300284.476 * * [misc]simplify: iters left: 4 (9 enodes) 1538300284.479 * * [misc]simplify: iters left: 3 (17 enodes) 1538300284.483 * * [misc]simplify: iters left: 2 (24 enodes) 1538300284.486 * * [misc]simplify: iters left: 1 (28 enodes) 1538300284.494 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1538300284.494 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (fma k -1/2 1/2)) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.494 * * * * [misc]progress: [ 124 / 132 ] simplifiying candidate # 1538300284.494 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1538300284.496 * * [misc]simplify: iters left: 6 (18 enodes) 1538300284.501 * * [misc]simplify: iters left: 5 (39 enodes) 1538300284.515 * * [misc]simplify: iters left: 4 (110 enodes) 1538300284.564 * * [misc]simplify: iters left: 3 (321 enodes) 1538300284.850 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1538300284.850 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.850 * * * * [misc]progress: [ 125 / 132 ] simplifiying candidate # 1538300284.850 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538300284.851 * * [misc]simplify: iters left: 5 (6 enodes) 1538300284.854 * * [misc]simplify: iters left: 4 (9 enodes) 1538300284.859 * * [misc]simplify: iters left: 3 (17 enodes) 1538300284.865 * * [misc]simplify: iters left: 2 (24 enodes) 1538300284.872 * * [misc]simplify: iters left: 1 (28 enodes) 1538300284.888 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1538300284.888 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.888 * * * * [misc]progress: [ 126 / 132 ] simplifiying candidate # 1538300284.888 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538300284.889 * * [misc]simplify: iters left: 5 (6 enodes) 1538300284.891 * * [misc]simplify: iters left: 4 (9 enodes) 1538300284.897 * * [misc]simplify: iters left: 3 (17 enodes) 1538300284.903 * * [misc]simplify: iters left: 2 (24 enodes) 1538300284.909 * * [misc]simplify: iters left: 1 (28 enodes) 1538300284.924 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1538300284.924 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (* (* (sqrt (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.924 * * * * [misc]progress: [ 127 / 132 ] simplifiying candidate # 1538300284.925 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1538300284.925 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt +nan.0))) 1538300284.925 * * * * [misc]progress: [ 128 / 132 ] simplifiying candidate # 1538300284.925 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538300284.925 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt +nan.0))) 1538300284.925 * * * * [misc]progress: [ 129 / 132 ] simplifiying candidate # 1538300284.926 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1538300284.926 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt +nan.0))) 1538300284.926 * * * * [misc]progress: [ 130 / 132 ] simplifiying candidate # 1538300284.926 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1538300284.926 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.926 * * * * [misc]progress: [ 131 / 132 ] simplifiying candidate # 1538300284.926 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1538300284.926 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.926 * * * * [misc]progress: [ 132 / 132 ] simplifiying candidate # 1538300284.927 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1538300284.927 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) (sqrt (/ (pow PI (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1538300284.927 * * * [misc]progress: adding candidates to table 1538300289.898 * [misc]progress: [Phase 3 of 3] Extracting. 1538300289.898 * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) 1538300289.904 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1538300289.904 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # #) 1538300290.048 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # # #) 1538300290.240 * * * [misc]regime: Found split indices: #